diff --git a/vp8/common/implicit_segmentation.c b/vp8/common/implicit_segmentation.c
new file mode 100644
index 0000000..3f72f84
--- /dev/null
+++ b/vp8/common/implicit_segmentation.c
@@ -0,0 +1,277 @@
+/*
+ *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+ */
+
+#include "vp8/common/onyxc_int.h"
+
+#define MAX_REGIONS 24000
+#define NULL 0
+
+#define min_mbs_in_region 3
+
+// this linked list structure holds equivalences for connected
+// component labeling
+struct list_el {
+   int label;
+   int seg_value;
+   int count;
+   struct list_el * next;
+};
+typedef struct list_el item;
+
+// connected colorsegments
+typedef struct
+{
+  int min_x;
+  int min_y;
+  int max_x;
+  int max_y;
+  long long sum_x;
+  long long sum_y;
+  int pixels;
+  int seg_value;
+  int label;
+} segment_info;
+
+
+typedef enum
+{
+  SEGMENT_MODE,
+  SEGMENT_MV,
+  SEGMENT_REFFRAME,
+  SEGMENT_SKIPPED
+} SEGMENT_TYPE;
+
+
+// this merges the two equivalence lists and
+// then makes sure that every label points to the same
+// equivalence list
+void merge ( item *labels, int u, int v )
+{
+  item *a = labels[u].next;
+  item *b = labels[v].next;
+  item c;
+  item *it = &c;
+  int count;
+
+  // check if they are already merged
+  if(u==v || a==b)
+    return;
+
+  count = a->count + b->count;
+
+  // merge 2 sorted linked lists.
+  while ( a != NULL && b != NULL )
+  {
+    if ( a->label < b->label)
+    {
+      it->next = a;
+      a = a->next;
+    }
+    else
+    {
+      it->next = b;
+      b = b->next;
+    }
+
+    it = it->next;
+  }
+
+  if ( a == NULL )
+    it->next = b;
+  else
+    it->next = a;
+
+  it = c.next;
+
+  // make sure every equivalence in the linked list points to this new ll
+  while( it != NULL)
+  {
+    labels[it->label].next = c.next;
+    it=it->next;
+  }
+  c.next->count = count;
+
+}
+
+void segment_via_mode_info( VP8_COMMON *oci, int how)
+{
+    MODE_INFO *mi = oci->mi;
+    int i,j;
+    int mb_index = 0;
+
+    int label=1;
+    int pitch = oci->mb_cols;
+
+    // holds linked list equivalences
+    // the max should probably be allocated at a higher level in oci
+    item equivalences[MAX_REGIONS];
+    int eq_ptr = 0;
+    item labels[MAX_REGIONS];
+    segment_info segments[MAX_REGIONS];
+    int label_count = 1;
+    int labeling[400*300];
+    int *lp = labeling;
+
+    label_count = 1;
+    memset(labels,0,sizeof(labels));
+    memset(segments,0,sizeof(segments));
+
+    /* Go through each macroblock first pass labelling */
+    for (i = 0; i < oci->mb_rows; i++,lp+=pitch)
+    {
+        for (j = 0; j < oci->mb_cols; j++)
+        {
+          // int above seg_value, left seg_value, this seg_value...
+          int a=-1,l=-1,n=-1;
+
+          // above label, left label
+          int al=-1,ll=-1;
+          if(i)
+          {
+            al=lp[j-pitch];
+            a = labels[al].next->seg_value;
+          }
+          if(j)
+          {
+            ll=lp[j-1];
+            l = labels[ll].next->seg_value;
+          }
+
+          // what setting are we going to do the implicit segmentation on
+          switch (how)
+          {
+            case SEGMENT_MODE:
+              n= mi[mb_index].mbmi.mode;
+              break;
+            case SEGMENT_MV:
+              n = mi[mb_index].mbmi.mv.as_int;
+              if(mi[mb_index].mbmi.ref_frame == INTRA_FRAME)
+                 n=-9999999;
+              break;
+            case SEGMENT_REFFRAME:
+              n = mi[mb_index].mbmi.ref_frame;
+              break;
+            case SEGMENT_SKIPPED:
+              n = mi[mb_index].mbmi.mb_skip_coeff;
+              break;
+          }
+
+          // above and left both have the same seg_value
+          if(n==a&&n==l)
+          {
+            // pick the lowest label
+            lp[j] = (al<ll?al:ll);
+            labels[lp[j]].next->count++;
+
+            // merge the above and left equivalencies
+            merge( labels, al, ll );
+          }
+          // this matches above seg_value
+          else if(n==a)
+          {
+              // give it the same label as above
+              lp[j]=al;
+              labels[al].next->count++;
+          }
+          // this matches left seg_value
+          else if(n==l)
+          {
+              // give it the same label as above
+              lp[j]=ll;
+              labels[ll].next->count++;
+          }
+          else
+          {
+              // new label doesn't match either
+              item *e = &labels[label];
+              item *nl = &equivalences[eq_ptr++];
+              lp[j]=label;
+              nl->label = label;
+              nl->next = 0;
+              nl->seg_value = n;
+              nl->count = 1;
+              e->next = nl;
+              label++;
+          }
+          mb_index++;
+      }
+      mb_index++;
+    }
+    lp = labeling;
+
+    // give new labels to regions
+    for(i=1;i<label;i++)
+      if(labels[i].next->count >min_mbs_in_region  &&  labels[labels[i].next->label].label == 0 )
+      {
+        segment_info *cs= &segments[label_count];
+        cs->label = label_count;
+        labels[labels[i].next->label].label = label_count++;
+        labels[labels[i].next->label].seg_value  = labels[i].next->seg_value;
+        cs->seg_value = labels[labels[i].next->label].seg_value;
+        cs->min_x = oci->mb_cols;
+        cs->min_y = oci->mb_rows;
+        cs->max_x = 0;
+        cs->max_y = 0;
+        cs->sum_x = 0;
+        cs->sum_y = 0;
+        cs->pixels= 0;
+
+      }
+    lp = labeling;
+
+    // this is just to gather stats...
+    for(i=0;i<oci->mb_rows;i++,lp+=pitch)
+    {
+      for(j=0;j<oci->mb_cols;j++)
+      {
+         segment_info *cs;
+         int oldlab = labels[lp[j]].next->label;
+         int lab = labels[oldlab].label;
+         lp[j] = lab;
+
+         cs= &segments[lab];
+
+         cs->min_x = (j<cs->min_x?j:cs->min_x);
+         cs->max_x = (j>cs->max_x?j:cs->max_x);
+         cs->min_y = (i<cs->min_y?i:cs->min_y);
+         cs->max_y = (i>cs->max_y?i:cs->max_y);
+         cs->sum_x += j;
+         cs->sum_y += i;
+         cs->pixels ++;
+
+         lp[j] = lab;
+         mb_index++;
+      }
+      mb_index++;
+    }
+
+    {
+      lp = labeling;
+      printf("labelling \n");
+      mb_index = 0;
+      for(i=0;i<oci->mb_rows;i++,lp+=pitch)
+      {
+        for(j=0;j<oci->mb_cols;j++)
+        {
+          printf("%4d",lp[j]);
+        }
+        printf("            ");
+        for(j=0;j<oci->mb_cols;j++,mb_index++)
+        {
+          //printf("%3d",mi[mb_index].mbmi.mode );
+          printf("%4d:%4d",mi[mb_index].mbmi.mv.as_mv.row,mi[mb_index].mbmi.mv.as_mv.col );
+        }
+        printf("\n");
+        ++mb_index;
+      }
+      printf("\n");
+    }
+}
+
diff --git a/vp8/common/predict_rotated.c b/vp8/common/predict_rotated.c
new file mode 100644
index 0000000..0880bfb
--- /dev/null
+++ b/vp8/common/predict_rotated.c
@@ -0,0 +1,85 @@
+/*
+ *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+ */
+
+#if CONFIG_ROTATION
+typedef struct
+{
+    int y;
+    int x;
+    unsigned long t;
+} tap;
+
+typedef struct
+{
+    tap pt[4];
+} point_taps;
+
+typedef struct
+{
+    point_taps pt[256];
+} mb_taps;
+
+mb_taps mt_8x8[] =
+{
+    #include "rotate2.h"
+};
+
+mb_taps mt[] =
+{
+    #include "rotate.h"
+};
+
+void predict_rotated_16x16(int rotation_index, unsigned char *src, int sp,
+                           unsigned char *dst, int dp)
+{
+    int i, j, k, p = 0;
+
+    for (i = 0; i < 16; i++, dst += dp)
+    {
+        for (j = 0; j < 16; j++, p++)
+        {
+            unsigned int sum = 32768;
+
+            for (k = 0; k < 4; k++)
+            {
+                tap *tp = &mt[rotation_index].pt[p].pt[k];
+                sum += src[tp->y * sp + tp->x] * tp->t;
+            }
+            sum >>= 16;
+            dst[j] = sum;
+        }
+    }
+}
+void predict_rotated_8x8(int rotation_index, unsigned char *src, int sp,
+                         unsigned char *dst, int dp)
+{
+    int i, j, k, p = 0;
+
+    for (i = 0; i < 8; i++, dst += dp)
+    {
+        for (j = 0; j < 8; j++, p++)
+        {
+            unsigned int sum = 32768;
+
+            for (k = 0; k < 4; k++)
+            {
+                tap *tp = &mt_8x8[rotation_index].pt[p].pt[k];
+                sum += src[tp->y * sp + tp->x] * tp->t;
+            }
+            sum >>= 16;
+            dst[j] = sum;
+        }
+    }
+}
+#endif
+
+
+
+
diff --git a/vp8/common/rotate.h b/vp8/common/rotate.h
new file mode 100644
index 0000000..580f552
--- /dev/null
+++ b/vp8/common/rotate.h
@@ -0,0 +1,2827 @@
+ // angle of -2.5 degrees
+ -1,  0, 14696,   -1,  1, 11702,    0,  0, 24063,    0,  1, 15075,   //  0, 0 
+ -1,  1, 13787,   -1,  2, 11164,    0,  1, 25366,    0,  2, 15219,   //  0, 1 
+ -1,  2, 12938,   -1,  3, 10637,    0,  2, 26660,    0,  3, 15301,   //  0, 2 
+ -1,  3, 12159,   -1,  4, 10135,    0,  3, 27912,    0,  4, 15330,   //  0, 3 
+ -1,  4, 11461,   -1,  5,  9673,    0,  4, 29078,    0,  5, 15324,   //  0, 4 
+ -1,  5, 10855,   -1,  6,  9265,    0,  5, 30105,    0,  6, 15311,   //  0, 5 
+ -1,  6, 10351,   -1,  7,  8927,    0,  6, 30939,    0,  7, 15319,   //  0, 6 
+ -1,  7,  9959,   -1,  8,  8669,    0,  7, 31532,    0,  8, 15376,   //  0, 7 
+  0,  8, 31444,    0,  9, 15301,    1,  8, 10065,    1,  9,  8726,   //  0, 8 
+  0,  9, 30876,    0, 10, 15193,    1,  9, 10482,    1, 10,  8985,   //  0, 9 
+  0, 10, 30064,    0, 11, 15135,    1, 10, 11013,    1, 11,  9324,   //  0,10 
+  0, 11, 29055,    0, 12, 15100,    1, 11, 11652,    1, 12,  9729,   //  0,11 
+  0, 12, 27903,    0, 13, 15060,    1, 12, 12388,    1, 13, 10185,   //  0,12 
+  0, 13, 26660,    0, 14, 14990,    1, 13, 13211,    1, 14, 10675,   //  0,13 
+  0, 14, 25368,    0, 15, 14872,    1, 14, 14109,    1, 15, 11187,   //  0,14 
+  0, 15, 24063,    0, 16, 14696,    1, 15, 15076,    1, 16, 11701,   //  0,15 
+  0,  0, 14872,    0,  1, 11187,    1,  0, 25368,    1,  1, 14109,   //  1, 0 
+  0,  1, 13853,    0,  2, 10644,    1,  1, 26893,    1,  2, 14146,   //  1, 1 
+  0,  2, 12897,    0,  3, 10102,    1,  2, 28430,    1,  3, 14107,   //  1, 2 
+  0,  3, 12014,    0,  4,  9575,    1,  3, 29938,    1,  4, 14009,   //  1, 3 
+  0,  4, 11218,    0,  5,  9082,    1,  4, 31361,    1,  5, 13875,   //  1, 4 
+  0,  5, 10528,    0,  6,  8645,    1,  5, 32624,    1,  6, 13739,   //  1, 5 
+  0,  6,  9961,    0,  7,  8286,    1,  6, 33642,    1,  7, 13647,   //  1, 6 
+  0,  7,  9534,    0,  8,  8024,    1,  7, 34340,    1,  8, 13638,   //  1, 7 
+  1,  8, 34261,    1,  9, 13582,    2,  8,  9626,    2,  9,  8067,   //  1, 8 
+  1,  9, 33585,    1, 10, 13548,    2,  9, 10074,    2, 10,  8329,   //  1, 9 
+  1, 10, 32586,    1, 11, 13600,    2, 10, 10665,    2, 11,  8685,   //  1,10 
+  1, 11, 31339,    1, 12, 13694,    2, 11, 11385,    2, 12,  9118,   //  1,11 
+  1, 12, 29928,    1, 13, 13789,    2, 12, 12216,    2, 13,  9603,   //  1,12 
+  1, 13, 28427,    1, 14, 13850,    2, 13, 13141,    2, 14, 10118,   //  1,13 
+  1, 14, 26893,    1, 15, 13853,    2, 14, 14145,    2, 15, 10645,   //  1,14 
+  1, 15, 25366,    1, 16, 13787,    2, 15, 15220,    2, 16, 11163,   //  1,15 
+  1,  0, 14990,    1,  1, 10676,    2,  0, 26660,    2,  1, 13210,   //  2, 0 
+  1,  1, 13850,    1,  2, 10119,    2,  1, 28427,    2,  2, 13140,   //  2, 1 
+  1,  2, 12769,    1,  3,  9546,    2,  2, 30239,    2,  3, 12982,   //  2, 2 
+  1,  3, 11760,    1,  4,  8976,    2,  3, 32052,    2,  4, 12748,   //  2, 3 
+  1,  4, 10842,    1,  5,  8432,    2,  4, 33795,    2,  5, 12467,   //  2, 4 
+  1,  5, 10041,    1,  6,  7943,    2,  5, 35364,    2,  6, 12188,   //  2, 5 
+  1,  6,  9390,    1,  7,  7543,    2,  6, 36631,    2,  7, 11972,   //  2, 6 
+  1,  7,  8918,    1,  8,  7266,    2,  7, 37470,    2,  8, 11882,   //  2, 7 
+  2,  8, 37402,    2,  9, 11842,    3,  8,  8994,    3,  9,  7298,   //  2, 8 
+  2,  9, 36582,    2, 10, 11897,    3,  9,  9484,    3, 10,  7573,   //  2, 9 
+  2, 10, 35332,    2, 11, 12079,    3, 10, 10156,    3, 11,  7969,   //  2,10 
+  2, 11, 33777,    2, 12, 12323,    3, 11, 10983,    3, 12,  8453,   //  2,11 
+  2, 12, 32045,    2, 13, 12569,    3, 12, 11934,    3, 13,  8988,   //  2,12 
+  2, 13, 30239,    2, 14, 12769,    3, 13, 12982,    3, 14,  9546,   //  2,13 
+  2, 14, 28430,    2, 15, 12897,    3, 14, 14107,    3, 15, 10102,   //  2,14 
+  2, 15, 26660,    2, 16, 12938,    3, 15, 15301,    3, 16, 10637,   //  2,15 
+  2,  0, 15060,    2,  1, 10185,    3,  0, 27903,    3,  1, 12388,   //  3, 0 
+  2,  1, 13789,    2,  2,  9603,    3,  1, 29928,    3,  2, 12216,   //  3, 1 
+  2,  2, 12569,    2,  3,  8988,    3,  2, 32045,    3,  3, 11934,   //  3, 2 
+  2,  3, 11411,    2,  4,  8358,    3,  3, 34213,    3,  4, 11554,   //  3, 3 
+  2,  4, 10337,    2,  5,  7737,    3,  4, 36354,    3,  5, 11108,   //  3, 4 
+  2,  5,  9388,    2,  6,  7165,    3,  5, 38330,    3,  6, 10653,   //  3, 5 
+  2,  6,  8617,    2,  7,  6695,    3,  6, 39949,    3,  7, 10275,   //  3, 6 
+  2,  7,  8082,    2,  8,  6381,    3,  7, 40994,    3,  8, 10079,   //  3, 7 
+  3,  8, 40940,    3,  9, 10051,    4,  8,  8141,    4,  9,  6404,   //  3, 8 
+  3,  9, 39912,    3, 10, 10221,    4,  9,  8690,    4, 10,  6713,   //  3, 9 
+  3, 10, 38307,    3, 11, 10569,    4, 10,  9479,    4, 11,  7181,   //  3,10 
+  3, 11, 36343,    3, 12, 10995,    4, 11, 10452,    4, 12,  7746,   //  3,11 
+  3, 12, 34213,    3, 13, 11411,    4, 12, 11554,    4, 13,  8358,   //  3,12 
+  3, 13, 32052,    3, 14, 11760,    4, 13, 12747,    4, 14,  8977,   //  3,13 
+  3, 14, 29938,    3, 15, 12014,    4, 14, 14009,    4, 15,  9575,   //  3,14 
+  3, 15, 27912,    3, 16, 12159,    4, 15, 15330,    4, 16, 10135,   //  3,15 
+  3,  0, 15100,    3,  1,  9728,    4,  0, 29055,    4,  1, 11653,   //  4, 0 
+  3,  1, 13694,    3,  2,  9118,    4,  1, 31339,    4,  2, 11385,   //  4, 1 
+  3,  2, 12323,    3,  3,  8452,    4,  2, 33777,    4,  3, 10984,   //  4, 2 
+  3,  3, 10995,    3,  4,  7746,    4,  3, 36343,    4,  4, 10452,   //  4, 3 
+  3,  4,  9730,    3,  5,  7022,    4,  4, 38966,    4,  5,  9818,   //  4, 4 
+  3,  5,  8578,    3,  6,  6328,    4,  5, 41487,    4,  6,  9143,   //  4, 5 
+  3,  6,  7626,    3,  7,  5739,    4,  6, 43626,    4,  7,  8545,   //  4, 6 
+  3,  7,  6987,    3,  8,  5354,    4,  7, 44999,    4,  8,  8196,   //  4, 7 
+  4,  8, 44962,    4,  9,  8177,    5,  8,  7029,    5,  9,  5368,   //  4, 8 
+  4,  9, 43602,    4, 10,  8507,    5,  9,  7678,    5, 10,  5749,   //  4, 9 
+  4, 10, 41475,    4, 11,  9081,    5, 10,  8646,    5, 11,  6334,   //  4,10 
+  4, 11, 38966,    4, 12,  9730,    5, 11,  9818,    5, 12,  7022,   //  4,11 
+  4, 12, 36354,    4, 13, 10337,    5, 12, 11108,    5, 13,  7737,   //  4,12 
+  4, 13, 33795,    4, 14, 10842,    5, 13, 12467,    5, 14,  8432,   //  4,13 
+  4, 14, 31361,    4, 15, 11218,    5, 14, 13875,    5, 15,  9082,   //  4,14 
+  4, 15, 29078,    4, 16, 11461,    5, 15, 15325,    5, 16,  9672,   //  4,15 
+  4,  0, 15135,    4,  1,  9323,    5,  0, 30064,    5,  1, 11014,   //  5, 0 
+  4,  1, 13600,    4,  2,  8685,    5,  1, 32586,    5,  2, 10665,   //  5, 1 
+  4,  2, 12079,    4,  3,  7969,    5,  2, 35332,    5,  3, 10156,   //  5, 2 
+  4,  3, 10569,    4,  4,  7180,    5,  3, 38307,    5,  4,  9480,   //  5, 3 
+  4,  4,  9081,    4,  5,  6334,    5,  4, 41475,    5,  5,  8646,   //  5, 4 
+  4,  5,  7659,    4,  6,  5472,    5,  5, 44700,    5,  6,  7705,   //  5, 5 
+  4,  6,  6422,    4,  7,  4690,    5,  6, 47630,    5,  7,  6794,   //  5, 6 
+  4,  7,  5590,    4,  8,  4164,    5,  7, 49588,    5,  8,  6194,   //  5, 7 
+  5,  8, 49566,    5,  9,  6183,    6,  8,  5615,    6,  9,  4172,   //  5, 8 
+  5,  9, 47619,    5, 10,  6768,    6,  9,  6455,    6, 10,  4694,   //  5, 9 
+  5, 10, 44700,    5, 11,  7659,    6, 10,  7705,    6, 11,  5472,   //  5,10 
+  5, 11, 41487,    5, 12,  8578,    6, 11,  9143,    6, 12,  6328,   //  5,11 
+  5, 12, 38330,    5, 13,  9388,    6, 12, 10653,    6, 13,  7165,   //  5,12 
+  5, 13, 35364,    5, 14, 10041,    6, 13, 12188,    6, 14,  7943,   //  5,13 
+  5, 14, 32624,    5, 15, 10528,    6, 14, 13740,    6, 15,  8644,   //  5,14 
+  5, 15, 30105,    5, 16, 10855,    6, 15, 15311,    6, 16,  9265,   //  5,15 
+  5,  0, 15193,    5,  1,  8986,    6,  0, 30876,    6,  1, 10481,   //  6, 0 
+  5,  1, 13548,    5,  2,  8329,    6,  1, 33585,    6,  2, 10074,   //  6, 1 
+  5,  2, 11897,    5,  3,  7573,    6,  2, 36582,    6,  3,  9484,   //  6, 2 
+  5,  3, 10221,    5,  4,  6714,    6,  3, 39912,    6,  4,  8689,   //  6, 3 
+  5,  4,  8507,    5,  5,  5749,    6,  4, 43602,    6,  5,  7678,   //  6, 4 
+  5,  5,  6768,    5,  6,  4694,    6,  5, 47619,    6,  6,  6455,   //  6, 5 
+  5,  6,  5099,    5,  7,  3620,    6,  6, 51701,    6,  7,  5116,   //  6, 6 
+  5,  7,  3853,    5,  8,  2795,    6,  7, 54839,    6,  8,  4049,   //  6, 7 
+  6,  8, 54831,    6,  9,  4044,    7,  8,  3864,    7,  9,  2797,   //  6, 8 
+  6,  9, 51701,    6, 10,  5099,    7,  9,  5116,    7, 10,  3620,   //  6, 9 
+  6, 10, 47630,    6, 11,  6422,    7, 10,  6794,    7, 11,  4690,   //  6,10 
+  6, 11, 43626,    6, 12,  7626,    7, 11,  8545,    7, 12,  5739,   //  6,11 
+  6, 12, 39949,    6, 13,  8617,    7, 12, 10275,    7, 13,  6695,   //  6,12 
+  6, 13, 36631,    6, 14,  9390,    7, 13, 11972,    7, 14,  7543,   //  6,13 
+  6, 14, 33642,    6, 15,  9961,    7, 14, 13647,    7, 15,  8286,   //  6,14 
+  6, 15, 30939,    6, 16, 10351,    7, 15, 15319,    7, 16,  8927,   //  6,15 
+  6,  0, 15301,    6,  1,  8727,    7,  0, 31444,    7,  1, 10064,   //  7, 0 
+  6,  1, 13582,    6,  2,  8068,    7,  1, 34261,    7,  2,  9625,   //  7, 1 
+  6,  2, 11842,    6,  3,  7298,    7,  2, 37402,    7,  3,  8994,   //  7, 2 
+  6,  3, 10051,    6,  4,  6403,    7,  3, 40940,    7,  4,  8142,   //  7, 3 
+  6,  4,  8177,    6,  5,  5368,    7,  4, 44962,    7,  5,  7029,   //  7, 4 
+  6,  5,  6183,    6,  6,  4172,    7,  5, 49566,    7,  6,  5615,   //  7, 5 
+  6,  6,  4044,    6,  7,  2797,    7,  6, 54831,    7,  7,  3864,   //  7, 6 
+  6,  7,  1903,    6,  8,  1347,    7,  7, 60382,    7,  8,  1904,   //  7, 7 
+  7,  8, 60382,    7,  9,  1903,    8,  8,  1905,    8,  9,  1346,   //  7, 8 
+  7,  9, 54839,    7, 10,  3853,    8,  9,  4049,    8, 10,  2795,   //  7, 9 
+  7, 10, 49588,    7, 11,  5590,    8, 10,  6193,    8, 11,  4165,   //  7,10 
+  7, 11, 44999,    7, 12,  6987,    8, 11,  8195,    8, 12,  5355,   //  7,11 
+  7, 12, 40994,    7, 13,  8082,    8, 12, 10079,    8, 13,  6381,   //  7,12 
+  7, 13, 37470,    7, 14,  8918,    8, 13, 11883,    8, 14,  7265,   //  7,13 
+  7, 14, 34340,    7, 15,  9534,    8, 14, 13638,    8, 15,  8024,   //  7,14 
+  7, 15, 31532,    7, 16,  9959,    8, 15, 15376,    8, 16,  8669,   //  7,15 
+  7, -1,  8669,    7,  0, 15376,    8, -1,  9959,    8,  0, 31532,   //  8, 0 
+  7,  0,  8024,    7,  1, 13638,    8,  0,  9534,    8,  1, 34340,   //  8, 1 
+  7,  1,  7266,    7,  2, 11883,    8,  1,  8918,    8,  2, 37469,   //  8, 2 
+  7,  2,  6381,    7,  3, 10079,    8,  2,  8082,    8,  3, 40994,   //  8, 3 
+  7,  3,  5354,    7,  4,  8195,    8,  3,  6987,    8,  4, 45000,   //  8, 4 
+  7,  4,  4164,    7,  5,  6193,    8,  4,  5590,    8,  5, 49589,   //  8, 5 
+  7,  5,  2795,    7,  6,  4049,    8,  5,  3853,    8,  6, 54839,   //  8, 6 
+  7,  6,  1347,    7,  7,  1905,    8,  6,  1903,    8,  7, 60381,   //  8, 7 
+  8,  7,  1905,    8,  8, 60382,    9,  7,  1347,    9,  8,  1902,   //  8, 8 
+  8,  8,  3864,    8,  9, 54831,    9,  8,  2797,    9,  9,  4044,   //  8, 9 
+  8,  9,  5615,    8, 10, 49566,    9,  9,  4172,    9, 10,  6183,   //  8,10 
+  8, 10,  7029,    8, 11, 44962,    9, 10,  5368,    9, 11,  8177,   //  8,11 
+  8, 11,  8141,    8, 12, 40940,    9, 11,  6403,    9, 12, 10052,   //  8,12 
+  8, 12,  8994,    8, 13, 37402,    9, 12,  7298,    9, 13, 11842,   //  8,13 
+  8, 13,  9626,    8, 14, 34261,    9, 13,  8068,    9, 14, 13581,   //  8,14 
+  8, 14, 10065,    8, 15, 31444,    9, 14,  8727,    9, 15, 15300,   //  8,15 
+  8, -1,  8927,    8,  0, 15319,    9, -1, 10351,    9,  0, 30939,   //  9, 0 
+  8,  0,  8286,    8,  1, 13647,    9,  0,  9961,    9,  1, 33642,   //  9, 1 
+  8,  1,  7543,    8,  2, 11972,    9,  1,  9390,    9,  2, 36631,   //  9, 2 
+  8,  2,  6695,    8,  3, 10275,    9,  2,  8617,    9,  3, 39949,   //  9, 3 
+  8,  3,  5739,    8,  4,  8545,    9,  3,  7626,    9,  4, 43626,   //  9, 4 
+  8,  4,  4690,    8,  5,  6794,    9,  4,  6422,    9,  5, 47630,   //  9, 5 
+  8,  5,  3620,    8,  6,  5116,    9,  5,  5099,    9,  6, 51701,   //  9, 6 
+  8,  6,  2797,    8,  7,  3864,    9,  6,  4044,    9,  7, 54831,   //  9, 7 
+  9,  7,  4049,    9,  8, 54839,   10,  7,  2795,   10,  8,  3853,   //  9, 8 
+  9,  8,  5116,    9,  9, 51701,   10,  8,  3620,   10,  9,  5099,   //  9, 9 
+  9,  9,  6455,    9, 10, 47619,   10,  9,  4694,   10, 10,  6768,   //  9,10 
+  9, 10,  7678,    9, 11, 43602,   10, 10,  5749,   10, 11,  8507,   //  9,11 
+  9, 11,  8690,    9, 12, 39912,   10, 11,  6714,   10, 12, 10220,   //  9,12 
+  9, 12,  9484,    9, 13, 36582,   10, 12,  7573,   10, 13, 11897,   //  9,13 
+  9, 13, 10074,    9, 14, 33585,   10, 13,  8329,   10, 14, 13548,   //  9,14 
+  9, 14, 10482,    9, 15, 30876,   10, 14,  8986,   10, 15, 15192,   //  9,15 
+  9, -1,  9265,    9,  0, 15311,   10, -1, 10855,   10,  0, 30105,   // 10, 0 
+  9,  0,  8645,    9,  1, 13740,   10,  0, 10528,   10,  1, 32623,   // 10, 1 
+  9,  1,  7943,    9,  2, 12188,   10,  1, 10041,   10,  2, 35364,   // 10, 2 
+  9,  2,  7165,    9,  3, 10653,   10,  2,  9388,   10,  3, 38330,   // 10, 3 
+  9,  3,  6328,    9,  4,  9143,   10,  3,  8578,   10,  4, 41487,   // 10, 4 
+  9,  4,  5472,    9,  5,  7705,   10,  4,  7659,   10,  5, 44700,   // 10, 5 
+  9,  5,  4694,    9,  6,  6455,   10,  5,  6768,   10,  6, 47619,   // 10, 6 
+  9,  6,  4172,    9,  7,  5615,   10,  6,  6183,   10,  7, 49566,   // 10, 7 
+ 10,  7,  6193,   10,  8, 49588,   11,  7,  4164,   11,  8,  5591,   // 10, 8 
+ 10,  8,  6794,   10,  9, 47630,   11,  8,  4690,   11,  9,  6422,   // 10, 9 
+ 10,  9,  7705,   10, 10, 44700,   11,  9,  5472,   11, 10,  7659,   // 10,10 
+ 10, 10,  8646,   10, 11, 41475,   11, 10,  6334,   11, 11,  9081,   // 10,11 
+ 10, 11,  9479,   10, 12, 38307,   11, 11,  7180,   11, 12, 10570,   // 10,12 
+ 10, 12, 10156,   10, 13, 35332,   11, 12,  7969,   11, 13, 12079,   // 10,13 
+ 10, 13, 10665,   10, 14, 32586,   11, 13,  8685,   11, 14, 13600,   // 10,14 
+ 10, 14, 11013,   10, 15, 30064,   11, 14,  9323,   11, 15, 15136,   // 10,15 
+ 10, -1,  9673,   10,  0, 15325,   11, -1, 11461,   11,  0, 29077,   // 11, 0 
+ 10,  0,  9082,   10,  1, 13875,   11,  0, 11218,   11,  1, 31361,   // 11, 1 
+ 10,  1,  8432,   10,  2, 12467,   11,  1, 10842,   11,  2, 33795,   // 11, 2 
+ 10,  2,  7737,   10,  3, 11108,   11,  2, 10337,   11,  3, 36354,   // 11, 3 
+ 10,  3,  7022,   10,  4,  9818,   11,  3,  9730,   11,  4, 38966,   // 11, 4 
+ 10,  4,  6334,   10,  5,  8646,   11,  4,  9081,   11,  5, 41475,   // 11, 5 
+ 10,  5,  5749,   10,  6,  7678,   11,  5,  8507,   11,  6, 43602,   // 11, 6 
+ 10,  6,  5368,   10,  7,  7029,   11,  6,  8177,   11,  7, 44962,   // 11, 7 
+ 11,  7,  8195,   11,  8, 44999,   12,  7,  5354,   12,  8,  6988,   // 11, 8 
+ 11,  8,  8545,   11,  9, 43626,   12,  8,  5739,   12,  9,  7626,   // 11, 9 
+ 11,  9,  9143,   11, 10, 41487,   12,  9,  6328,   12, 10,  8578,   // 11,10 
+ 11, 10,  9818,   11, 11, 38966,   12, 10,  7022,   12, 11,  9730,   // 11,11 
+ 11, 11, 10452,   11, 12, 36343,   12, 11,  7746,   12, 12, 10995,   // 11,12 
+ 11, 12, 10983,   11, 13, 33777,   12, 12,  8452,   12, 13, 12324,   // 11,13 
+ 11, 13, 11385,   11, 14, 31339,   12, 13,  9118,   12, 14, 13694,   // 11,14 
+ 11, 14, 11652,   11, 15, 29055,   12, 14,  9728,   12, 15, 15101,   // 11,15 
+ 11, -1, 10135,   11,  0, 15330,   12, -1, 12159,   12,  0, 27912,   // 12, 0 
+ 11,  0,  9575,   11,  1, 14009,   12,  0, 12014,   12,  1, 29938,   // 12, 1 
+ 11,  1,  8976,   11,  2, 12747,   12,  1, 11760,   12,  2, 32053,   // 12, 2 
+ 11,  2,  8358,   11,  3, 11554,   12,  2, 11411,   12,  3, 34213,   // 12, 3 
+ 11,  3,  7746,   11,  4, 10452,   12,  3, 10995,   12,  4, 36343,   // 12, 4 
+ 11,  4,  7180,   11,  5,  9479,   12,  4, 10569,   12,  5, 38308,   // 12, 5 
+ 11,  5,  6714,   11,  6,  8690,   12,  5, 10221,   12,  6, 39911,   // 12, 6 
+ 11,  6,  6403,   11,  7,  8141,   12,  6, 10051,   12,  7, 40941,   // 12, 7 
+ 12,  7, 10079,   12,  8, 40994,   13,  7,  6381,   13,  8,  8082,   // 12, 8 
+ 12,  8, 10275,   12,  9, 39949,   13,  8,  6695,   13,  9,  8617,   // 12, 9 
+ 12,  9, 10653,   12, 10, 38330,   13,  9,  7165,   13, 10,  9388,   // 12,10 
+ 12, 10, 11108,   12, 11, 36354,   13, 10,  7737,   13, 11, 10337,   // 12,11 
+ 12, 11, 11554,   12, 12, 34213,   13, 11,  8358,   13, 12, 11411,   // 12,12 
+ 12, 12, 11934,   12, 13, 32045,   13, 12,  8988,   13, 13, 12569,   // 12,13 
+ 12, 13, 12216,   12, 14, 29928,   13, 13,  9603,   13, 14, 13789,   // 12,14 
+ 12, 14, 12388,   12, 15, 27903,   13, 14, 10185,   13, 15, 15060,   // 12,15 
+ 12, -1, 10637,   12,  0, 15301,   13, -1, 12938,   13,  0, 26660,   // 13, 0 
+ 12,  0, 10102,   12,  1, 14107,   13,  0, 12897,   13,  1, 28430,   // 13, 1 
+ 12,  1,  9546,   12,  2, 12982,   13,  1, 12769,   13,  2, 30239,   // 13, 2 
+ 12,  2,  8988,   12,  3, 11934,   13,  2, 12569,   13,  3, 32045,   // 13, 3 
+ 12,  3,  8452,   12,  4, 10983,   13,  3, 12323,   13,  4, 33778,   // 13, 4 
+ 12,  4,  7969,   12,  5, 10156,   13,  4, 12079,   13,  5, 35332,   // 13, 5 
+ 12,  5,  7573,   12,  6,  9484,   13,  5, 11897,   13,  6, 36582,   // 13, 6 
+ 12,  6,  7298,   12,  7,  8994,   13,  6, 11842,   13,  7, 37402,   // 13, 7 
+ 13,  7, 11883,   13,  8, 37470,   14,  7,  7266,   14,  8,  8917,   // 13, 8 
+ 13,  8, 11972,   13,  9, 36631,   14,  8,  7543,   14,  9,  9390,   // 13, 9 
+ 13,  9, 12188,   13, 10, 35364,   14,  9,  7943,   14, 10, 10041,   // 13,10 
+ 13, 10, 12467,   13, 11, 33795,   14, 10,  8432,   14, 11, 10842,   // 13,11 
+ 13, 11, 12747,   13, 12, 32052,   14, 11,  8976,   14, 12, 11761,   // 13,12 
+ 13, 12, 12982,   13, 13, 30239,   14, 12,  9546,   14, 13, 12769,   // 13,13 
+ 13, 13, 13141,   13, 14, 28427,   14, 13, 10119,   14, 14, 13849,   // 13,14 
+ 13, 14, 13211,   13, 15, 26660,   14, 14, 10676,   14, 15, 14989,   // 13,15 
+ 13, -1, 11164,   13,  0, 15220,   14, -1, 13787,   14,  0, 25365,   // 14, 0 
+ 13,  0, 10644,   13,  1, 14145,   14,  0, 13853,   14,  1, 26894,   // 14, 1 
+ 13,  1, 10119,   13,  2, 13141,   14,  1, 13850,   14,  2, 28426,   // 14, 2 
+ 13,  2,  9603,   13,  3, 12216,   14,  2, 13789,   14,  3, 29928,   // 14, 3 
+ 13,  3,  9118,   13,  4, 11385,   14,  3, 13694,   14,  4, 31339,   // 14, 4 
+ 13,  4,  8685,   13,  5, 10665,   14,  4, 13600,   14,  5, 32586,   // 14, 5 
+ 13,  5,  8329,   13,  6, 10074,   14,  5, 13548,   14,  6, 33585,   // 14, 6 
+ 13,  6,  8068,   13,  7,  9626,   14,  6, 13582,   14,  7, 34260,   // 14, 7 
+ 14,  7, 13638,   14,  8, 34340,   15,  7,  8024,   15,  8,  9534,   // 14, 8 
+ 14,  8, 13647,   14,  9, 33642,   15,  8,  8286,   15,  9,  9961,   // 14, 9 
+ 14,  9, 13740,   14, 10, 32624,   15,  9,  8645,   15, 10, 10527,   // 14,10 
+ 14, 10, 13875,   14, 11, 31361,   15, 10,  9082,   15, 11, 11218,   // 14,11 
+ 14, 11, 14009,   14, 12, 29938,   15, 11,  9575,   15, 12, 12014,   // 14,12 
+ 14, 12, 14107,   14, 13, 28430,   15, 12, 10102,   15, 13, 12897,   // 14,13 
+ 14, 13, 14145,   14, 14, 26893,   15, 13, 10644,   15, 14, 13854,   // 14,14 
+ 14, 14, 14109,   14, 15, 25368,   15, 14, 11187,   15, 15, 14872,   // 14,15 
+ 14, -1, 11702,   14,  0, 15076,   15, -1, 14696,   15,  0, 24062,   // 15, 0 
+ 14,  0, 11187,   14,  1, 14109,   15,  0, 14872,   15,  1, 25368,   // 15, 1 
+ 14,  1, 10676,   14,  2, 13211,   15,  1, 14990,   15,  2, 26659,   // 15, 2 
+ 14,  2, 10185,   14,  3, 12388,   15,  2, 15060,   15,  3, 27903,   // 15, 3 
+ 14,  3,  9728,   14,  4, 11652,   15,  3, 15100,   15,  4, 29056,   // 15, 4 
+ 14,  4,  9323,   14,  5, 11013,   15,  4, 15135,   15,  5, 30065,   // 15, 5 
+ 14,  5,  8986,   14,  6, 10482,   15,  5, 15193,   15,  6, 30875,   // 15, 6 
+ 14,  6,  8727,   14,  7, 10065,   15,  6, 15301,   15,  7, 31443,   // 15, 7 
+ 15,  7, 15376,   15,  8, 31532,   16,  7,  8669,   16,  8,  9959,   // 15, 8 
+ 15,  8, 15319,   15,  9, 30939,   16,  8,  8927,   16,  9, 10351,   // 15, 9 
+ 15,  9, 15311,   15, 10, 30105,   16,  9,  9265,   16, 10, 10855,   // 15,10 
+ 15, 10, 15325,   15, 11, 29078,   16, 10,  9673,   16, 11, 11460,   // 15,11 
+ 15, 11, 15330,   15, 12, 27912,   16, 11, 10135,   16, 12, 12159,   // 15,12 
+ 15, 12, 15301,   15, 13, 26660,   16, 12, 10637,   16, 13, 12938,   // 15,13 
+ 15, 13, 15220,   15, 14, 25366,   16, 13, 11164,   16, 14, 13786,   // 15,14 
+ 15, 14, 15076,   15, 15, 24063,   16, 14, 11702,   16, 15, 14695,   // 15,15 
+ // angle of -2.0 degrees
+ -1,  0, 13368,   -1,  1, 10104,    0,  0, 28495,    0,  1, 13569,   //  0, 0 
+ -1,  1, 12574,   -1,  2,  9662,    0,  1, 29831,    0,  2, 13469,   //  0, 1 
+ -1,  2, 11829,   -1,  3,  9229,    0,  2, 31146,    0,  3, 13332,   //  0, 2 
+ -1,  3, 11143,   -1,  4,  8816,    0,  3, 32406,    0,  4, 13171,   //  0, 3 
+ -1,  4, 10528,   -1,  5,  8438,    0,  4, 33564,    0,  5, 13006,   //  0, 4 
+ -1,  5,  9995,   -1,  6,  8107,    0,  5, 34567,    0,  6, 12867,   //  0, 5 
+ -1,  6,  9558,   -1,  7,  7839,    0,  6, 35362,    0,  7, 12777,   //  0, 6 
+ -1,  7,  9224,   -1,  8,  7643,    0,  7, 35905,    0,  8, 12764,   //  0, 7 
+  0,  8, 35844,    0,  9, 12728,    1,  8,  9290,    1,  9,  7674,   //  0, 8 
+  0,  9, 35315,    0, 10, 12717,    1,  9,  9635,    1, 10,  7869,   //  0, 9 
+  0, 10, 34532,    0, 11, 12783,    1, 10, 10086,    1, 11,  8135,   //  0,10 
+  0, 11, 33539,    0, 12, 12899,    1, 11, 10635,    1, 12,  8463,   //  0,11 
+  0, 12, 32391,    0, 13, 13038,    1, 12, 11269,    1, 13,  8838,   //  0,12 
+  0, 13, 31138,    0, 14, 13176,    1, 13, 11977,    1, 14,  9245,   //  0,13 
+  0, 14, 29828,    0, 15, 13291,    1, 14, 12746,    1, 15,  9671,   //  0,14 
+  0, 15, 28495,    0, 16, 13368,    1, 15, 13569,    1, 16, 10104,   //  0,15 
+  0,  0, 13291,    0,  1,  9671,    1,  0, 29828,    1,  1, 12746,   //  1, 0 
+  0,  1, 12412,    0,  2,  9202,    1,  1, 31358,    1,  2, 12564,   //  1, 1 
+  0,  2, 11580,    0,  3,  8735,    1,  2, 32886,    1,  3, 12335,   //  1, 2 
+  0,  3, 10808,    0,  4,  8284,    1,  3, 34369,    1,  4, 12075,   //  1, 3 
+  0,  4, 10111,    0,  5,  7865,    1,  4, 35750,    1,  5, 11810,   //  1, 4 
+  0,  5,  9509,    0,  6,  7497,    1,  5, 36955,    1,  6, 11575,   //  1, 5 
+  0,  6,  9020,    0,  7,  7202,    1,  6, 37906,    1,  7, 11408,   //  1, 6 
+  0,  7,  8662,    0,  8,  6997,    1,  7, 38534,    1,  8, 11343,   //  1, 7 
+  1,  8, 38481,    1,  9, 11317,    2,  8,  8718,    2,  9,  7020,   //  1, 8 
+  1,  9, 37866,    1, 10, 11360,    2,  9,  9086,    2, 10,  7224,   //  1, 9 
+  1, 10, 36926,    1, 11, 11507,    2, 10,  9587,    2, 11,  7516,   //  1,10 
+  1, 11, 35730,    1, 12, 11721,    2, 11, 10204,    2, 12,  7881,   //  1,11 
+  1, 12, 34358,    1, 13, 11964,    2, 12, 10918,    2, 13,  8296,   //  1,12 
+  1, 13, 32881,    1, 14, 12203,    2, 13, 11709,    2, 14,  8743,   //  1,13 
+  1, 14, 31358,    1, 15, 12412,    2, 14, 12564,    2, 15,  9202,   //  1,14 
+  1, 15, 29831,    1, 16, 12574,    2, 15, 13470,    2, 16,  9661,   //  1,15 
+  1,  0, 13176,    1,  1,  9245,    2,  0, 31138,    2,  1, 11977,   //  2, 0 
+  1,  1, 12203,    1,  2,  8742,    2,  1, 32881,    2,  2, 11710,   //  2, 1 
+  1,  2, 11272,    1,  3,  8232,    2,  2, 34650,    2,  3, 11382,   //  2, 2 
+  1,  3, 10397,    1,  4,  7728,    2,  3, 36399,    2,  4, 11012,   //  2, 3 
+  1,  4,  9597,    1,  5,  7252,    2,  4, 38057,    2,  5, 10630,   //  2, 4 
+  1,  5,  8902,    1,  6,  6829,    2,  5, 39526,    2,  6, 10279,   //  2, 5 
+  1,  6,  8344,    1,  7,  6491,    2,  6, 40688,    2,  7, 10013,   //  2, 6 
+  1,  7,  7951,    1,  8,  6266,    2,  7, 41432,    2,  8,  9887,   //  2, 7 
+  2,  8, 41389,    2,  9,  9867,    3,  8,  7996,    3,  9,  6284,   //  2, 8 
+  2,  9, 40656,    2, 10,  9977,    3,  9,  8397,    3, 10,  6506,   //  2, 9 
+  2, 10, 39503,    2, 11, 10226,    3, 10,  8966,    3, 11,  6841,   //  2,10 
+  2, 11, 38042,    2, 12, 10559,    3, 11,  9674,    3, 12,  7261,   //  2,11 
+  2, 12, 36392,    2, 13, 10922,    3, 12, 10488,    3, 13,  7734,   //  2,12 
+  2, 13, 34650,    2, 14, 11272,    3, 13, 11382,    3, 14,  8232,   //  2,13 
+  2, 14, 32886,    2, 15, 11580,    3, 14, 12334,    3, 15,  8736,   //  2,14 
+  2, 15, 31146,    2, 16, 11829,    3, 15, 13332,    3, 16,  9229,   //  2,15 
+  2,  0, 13038,    2,  1,  8838,    3,  0, 32391,    3,  1, 11269,   //  3, 0 
+  2,  1, 11964,    2,  2,  8296,    3,  1, 34358,    3,  2, 10918,   //  3, 1 
+  2,  2, 10922,    2,  3,  7734,    3,  2, 36392,    3,  3, 10488,   //  3, 2 
+  2,  3,  9924,    2,  4,  7164,    3,  3, 38450,    3,  4,  9998,   //  3, 3 
+  2,  4,  8995,    2,  5,  6611,    3,  4, 40452,    3,  5,  9478,   //  3, 4 
+  2,  5,  8175,    2,  6,  6108,    3,  5, 42271,    3,  6,  8982,   //  3, 5 
+  2,  6,  7516,    2,  7,  5703,    3,  6, 43733,    3,  7,  8584,   //  3, 6 
+  2,  7,  7072,    2,  8,  5443,    3,  7, 44649,    3,  8,  8372,   //  3, 7 
+  3,  8, 44616,    3,  9,  8359,    4,  8,  7106,    4,  9,  5455,   //  3, 8 
+  3,  9, 43710,    3, 10,  8558,    4,  9,  7556,    4, 10,  5712,   //  3, 9 
+  3, 10, 42256,    3, 11,  8940,    4, 10,  8224,    4, 11,  6116,   //  3,10 
+  3, 11, 40444,    3, 12,  9421,    4, 11,  9056,    4, 12,  6615,   //  3,11 
+  3, 12, 38450,    3, 13,  9924,    4, 12,  9998,    4, 13,  7164,   //  3,12 
+  3, 13, 36399,    3, 14, 10397,    4, 13, 11012,    4, 14,  7728,   //  3,13 
+  3, 14, 34369,    3, 15, 10808,    4, 14, 12074,    4, 15,  8285,   //  3,14 
+  3, 15, 32406,    3, 16, 11143,    4, 15, 13171,    4, 16,  8816,   //  3,15 
+  3,  0, 12899,    3,  1,  8463,    4,  0, 33539,    4,  1, 10635,   //  4, 0 
+  3,  1, 11721,    3,  2,  7881,    4,  1, 35730,    4,  2, 10204,   //  4, 1 
+  3,  2, 10559,    3,  3,  7261,    4,  2, 38042,    4,  3,  9674,   //  4, 2 
+  3,  3,  9421,    3,  4,  6615,    4,  3, 40444,    4,  4,  9056,   //  4, 3 
+  3,  4,  8332,    3,  5,  5965,    4,  4, 42861,    4,  5,  8378,   //  4, 4 
+  3,  5,  7342,    3,  6,  5350,    4,  5, 45146,    4,  6,  7698,   //  4, 5 
+  3,  6,  6530,    3,  7,  4838,    4,  6, 47049,    4,  7,  7119,   //  4, 6 
+  3,  7,  6000,    3,  8,  4513,    4,  7, 48240,    4,  8,  6783,   //  4, 7 
+  4,  8, 48218,    4,  9,  6774,    5,  8,  6023,    5,  9,  4521,   //  4, 8 
+  4,  9, 47035,    4, 10,  7100,    5,  9,  6558,    5, 10,  4843,   //  4, 9 
+  4, 10, 45139,    4, 11,  7667,    5, 10,  7377,    5, 11,  5353,   //  4,10 
+  4, 11, 42861,    4, 12,  8332,    5, 11,  8378,    5, 12,  5965,   //  4,11 
+  4, 12, 40452,    4, 13,  8995,    5, 12,  9478,    5, 13,  6611,   //  4,12 
+  4, 13, 38057,    4, 14,  9597,    5, 13, 10630,    5, 14,  7252,   //  4,13 
+  4, 14, 35750,    4, 15, 10111,    5, 14, 11810,    5, 15,  7865,   //  4,14 
+  4, 15, 33564,    4, 16, 10528,    5, 15, 13007,    5, 16,  8437,   //  4,15 
+  4,  0, 12783,    4,  1,  8135,    5,  0, 34532,    5,  1, 10086,   //  5, 0 
+  4,  1, 11507,    4,  2,  7517,    5,  1, 36926,    5,  2,  9586,   //  5, 1 
+  4,  2, 10226,    4,  3,  6842,    5,  2, 39503,    5,  3,  8965,   //  5, 2 
+  4,  3,  8940,    4,  4,  6116,    5,  3, 42256,    5,  4,  8224,   //  5, 3 
+  4,  4,  7667,    4,  5,  5353,    5,  4, 45139,    5,  5,  7377,   //  5, 4 
+  4,  5,  6451,    4,  6,  4591,    5,  5, 48019,    5,  6,  6475,   //  5, 5 
+  4,  6,  5400,    4,  7,  3911,    5,  6, 50587,    5,  7,  5638,   //  5, 6 
+  4,  7,  4708,    4,  8,  3466,    5,  7, 52266,    5,  8,  5096,   //  5, 7 
+  5,  8, 52253,    5,  9,  5092,    6,  8,  4721,    6,  9,  3470,   //  5, 8 
+  5,  9, 50581,    5, 10,  5624,    6,  9,  5418,    6, 10,  3913,   //  5, 9 
+  5, 10, 48019,    5, 11,  6451,    6, 10,  6475,    6, 11,  4591,   //  5,10 
+  5, 11, 45146,    5, 12,  7342,    6, 11,  7698,    6, 12,  5350,   //  5,11 
+  5, 12, 42271,    5, 13,  8175,    6, 12,  8982,    6, 13,  6108,   //  5,12 
+  5, 13, 39526,    5, 14,  8902,    6, 13, 10279,    6, 14,  6829,   //  5,13 
+  5, 14, 36955,    5, 15,  9509,    6, 14, 11575,    6, 15,  7497,   //  5,14 
+  5, 15, 34567,    5, 16,  9995,    6, 15, 12867,    6, 16,  8107,   //  5,15 
+  5,  0, 12717,    5,  1,  7868,    6,  0, 35315,    6,  1,  9636,   //  6, 0 
+  5,  1, 11360,    5,  2,  7224,    6,  1, 37866,    6,  2,  9086,   //  6, 1 
+  5,  2,  9977,    5,  3,  6506,    6,  2, 40656,    6,  3,  8397,   //  6, 2 
+  5,  3,  8558,    5,  4,  5712,    6,  3, 43710,    6,  4,  7556,   //  6, 3 
+  5,  4,  7100,    5,  5,  4843,    6,  4, 47035,    6,  5,  6558,   //  6, 4 
+  5,  5,  5624,    5,  6,  3913,    6,  5, 50581,    6,  6,  5418,   //  6, 5 
+  5,  6,  4217,    5,  7,  2989,    6,  6, 54105,    6,  7,  4225,   //  6, 6 
+  5,  7,  3180,    5,  8,  2294,    6,  7, 56756,    6,  8,  3306,   //  6, 7 
+  6,  8, 56751,    6,  9,  3303,    7,  8,  3186,    7,  9,  2296,   //  6, 8 
+  6,  9, 54105,    6, 10,  4217,    7,  9,  4225,    7, 10,  2989,   //  6, 9 
+  6, 10, 50587,    6, 11,  5400,    7, 10,  5637,    7, 11,  3912,   //  6,10 
+  6, 11, 47049,    6, 12,  6530,    7, 11,  7119,    7, 12,  4838,   //  6,11 
+  6, 12, 43733,    6, 13,  7516,    7, 12,  8584,    7, 13,  5703,   //  6,12 
+  6, 13, 40688,    6, 14,  8344,    7, 13, 10013,    7, 14,  6491,   //  6,13 
+  6, 14, 37906,    6, 15,  9020,    7, 14, 11407,    7, 15,  7203,   //  6,14 
+  6, 15, 35362,    6, 16,  9558,    7, 15, 12777,    7, 16,  7839,   //  6,15 
+  6,  0, 12728,    6,  1,  7674,    7,  0, 35844,    7,  1,  9290,   //  7, 0 
+  6,  1, 11317,    6,  2,  7020,    7,  1, 38481,    7,  2,  8718,   //  7, 1 
+  6,  2,  9867,    6,  3,  6284,    7,  2, 41389,    7,  3,  7996,   //  7, 2 
+  6,  3,  8359,    6,  4,  5454,    7,  3, 44616,    7,  4,  7107,   //  7, 3 
+  6,  4,  6774,    6,  5,  4521,    7,  4, 48218,    7,  5,  6023,   //  7, 4 
+  6,  5,  5092,    6,  6,  3470,    7,  5, 52253,    7,  6,  4721,   //  7, 5 
+  6,  6,  3303,    6,  7,  2295,    7,  6, 56751,    7,  7,  3187,   //  7, 6 
+  6,  7,  1541,    6,  8,  1090,    7,  7, 61364,    7,  8,  1541,   //  7, 7 
+  7,  8, 61364,    7,  9,  1541,    8,  8,  1542,    8,  9,  1089,   //  7, 8 
+  7,  9, 56756,    7, 10,  3180,    8,  9,  3306,    8, 10,  2294,   //  7, 9 
+  7, 10, 52266,    7, 11,  4708,    8, 10,  5097,    8, 11,  3465,   //  7,10 
+  7, 11, 48240,    7, 12,  6000,    8, 11,  6783,    8, 12,  4513,   //  7,11 
+  7, 12, 44649,    7, 13,  7072,    8, 12,  8373,    8, 13,  5442,   //  7,12 
+  7, 13, 41432,    7, 14,  7951,    8, 13,  9886,    8, 14,  6267,   //  7,13 
+  7, 14, 38534,    7, 15,  8662,    8, 14, 11344,    8, 15,  6996,   //  7,14 
+  7, 15, 35905,    7, 16,  9224,    8, 15, 12764,    8, 16,  7643,   //  7,15 
+  7, -1,  7643,    7,  0, 12764,    8, -1,  9224,    8,  0, 35905,   //  8, 0 
+  7,  0,  6997,    7,  1, 11344,    8,  0,  8662,    8,  1, 38533,   //  8, 1 
+  7,  1,  6266,    7,  2,  9886,    8,  1,  7951,    8,  2, 41433,   //  8, 2 
+  7,  2,  5443,    7,  3,  8373,    8,  2,  7072,    8,  3, 44648,   //  8, 3 
+  7,  3,  4513,    7,  4,  6783,    8,  3,  6000,    8,  4, 48240,   //  8, 4 
+  7,  4,  3466,    7,  5,  5097,    8,  4,  4708,    8,  5, 52265,   //  8, 5 
+  7,  5,  2294,    7,  6,  3306,    8,  5,  3180,    8,  6, 56756,   //  8, 6 
+  7,  6,  1090,    7,  7,  1542,    8,  6,  1541,    8,  7, 61363,   //  8, 7 
+  8,  7,  1542,    8,  8, 61364,    9,  7,  1090,    9,  8,  1540,   //  8, 8 
+  8,  8,  3186,    8,  9, 56751,    9,  8,  2295,    9,  9,  3304,   //  8, 9 
+  8,  9,  4721,    8, 10, 52253,    9,  9,  3470,    9, 10,  5092,   //  8,10 
+  8, 10,  6023,    8, 11, 48218,    9, 10,  4521,    9, 11,  6774,   //  8,11 
+  8, 11,  7106,    8, 12, 44616,    9, 11,  5454,    9, 12,  8360,   //  8,12 
+  8, 12,  7996,    8, 13, 41389,    9, 12,  6284,    9, 13,  9867,   //  8,13 
+  8, 13,  8718,    8, 14, 38481,    9, 13,  7020,    9, 14, 11317,   //  8,14 
+  8, 14,  9290,    8, 15, 35844,    9, 14,  7674,    9, 15, 12728,   //  8,15 
+  8, -1,  7839,    8,  0, 12777,    9, -1,  9558,    9,  0, 35362,   //  9, 0 
+  8,  0,  7202,    8,  1, 11407,    9,  0,  9020,    9,  1, 37907,   //  9, 1 
+  8,  1,  6491,    8,  2, 10013,    9,  1,  8344,    9,  2, 40688,   //  9, 2 
+  8,  2,  5703,    8,  3,  8584,    9,  2,  7516,    9,  3, 43733,   //  9, 3 
+  8,  3,  4838,    8,  4,  7119,    9,  3,  6530,    9,  4, 47049,   //  9, 4 
+  8,  4,  3911,    8,  5,  5637,    9,  4,  5400,    9,  5, 50588,   //  9, 5 
+  8,  5,  2989,    8,  6,  4225,    9,  5,  4217,    9,  6, 54105,   //  9, 6 
+  8,  6,  2295,    8,  7,  3186,    9,  6,  3303,    9,  7, 56752,   //  9, 7 
+  9,  7,  3306,    9,  8, 56756,   10,  7,  2294,   10,  8,  3180,   //  9, 8 
+  9,  8,  4225,    9,  9, 54105,   10,  8,  2989,   10,  9,  4217,   //  9, 9 
+  9,  9,  5418,    9, 10, 50581,   10,  9,  3913,   10, 10,  5624,   //  9,10 
+  9, 10,  6558,    9, 11, 47035,   10, 10,  4843,   10, 11,  7100,   //  9,11 
+  9, 11,  7556,    9, 12, 43710,   10, 11,  5712,   10, 12,  8558,   //  9,12 
+  9, 12,  8397,    9, 13, 40656,   10, 12,  6506,   10, 13,  9977,   //  9,13 
+  9, 13,  9086,    9, 14, 37866,   10, 13,  7224,   10, 14, 11360,   //  9,14 
+  9, 14,  9635,    9, 15, 35315,   10, 14,  7868,   10, 15, 12718,   //  9,15 
+  9, -1,  8107,    9,  0, 12867,   10, -1,  9995,   10,  0, 34567,   // 10, 0 
+  9,  0,  7497,    9,  1, 11575,   10,  0,  9509,   10,  1, 36955,   // 10, 1 
+  9,  1,  6829,    9,  2, 10279,   10,  1,  8902,   10,  2, 39526,   // 10, 2 
+  9,  2,  6108,    9,  3,  8982,   10,  2,  8175,   10,  3, 42271,   // 10, 3 
+  9,  3,  5350,    9,  4,  7698,   10,  3,  7342,   10,  4, 45146,   // 10, 4 
+  9,  4,  4591,    9,  5,  6475,   10,  4,  6451,   10,  5, 48019,   // 10, 5 
+  9,  5,  3913,    9,  6,  5418,   10,  5,  5624,   10,  6, 50581,   // 10, 6 
+  9,  6,  3470,    9,  7,  4721,   10,  6,  5092,   10,  7, 52253,   // 10, 7 
+ 10,  7,  5097,   10,  8, 52266,   11,  7,  3466,   11,  8,  4707,   // 10, 8 
+ 10,  8,  5637,   10,  9, 50587,   11,  8,  3911,   11,  9,  5401,   // 10, 9 
+ 10,  9,  6475,   10, 10, 48019,   11,  9,  4591,   11, 10,  6451,   // 10,10 
+ 10, 10,  7377,   10, 11, 45139,   11, 10,  5353,   11, 11,  7667,   // 10,11 
+ 10, 11,  8224,   10, 12, 42256,   11, 11,  6116,   11, 12,  8940,   // 10,12 
+ 10, 12,  8966,   10, 13, 39503,   11, 12,  6842,   11, 13, 10225,   // 10,13 
+ 10, 13,  9587,   10, 14, 36926,   11, 13,  7517,   11, 14, 11506,   // 10,14 
+ 10, 14, 10086,   10, 15, 34532,   11, 14,  8135,   11, 15, 12783,   // 10,15 
+ 10, -1,  8438,   10,  0, 13007,   11, -1, 10528,   11,  0, 33563,   // 11, 0 
+ 10,  0,  7865,   10,  1, 11810,   11,  0, 10111,   11,  1, 35750,   // 11, 1 
+ 10,  1,  7252,   10,  2, 10630,   11,  1,  9597,   11,  2, 38057,   // 11, 2 
+ 10,  2,  6611,   10,  3,  9478,   11,  2,  8995,   11,  3, 40452,   // 11, 3 
+ 10,  3,  5965,   10,  4,  8378,   11,  3,  8332,   11,  4, 42861,   // 11, 4 
+ 10,  4,  5353,   10,  5,  7377,   11,  4,  7667,   11,  5, 45139,   // 11, 5 
+ 10,  5,  4843,   10,  6,  6558,   11,  5,  7100,   11,  6, 47035,   // 11, 6 
+ 10,  6,  4521,   10,  7,  6023,   11,  6,  6774,   11,  7, 48218,   // 11, 7 
+ 11,  7,  6783,   11,  8, 48240,   12,  7,  4513,   12,  8,  6000,   // 11, 8 
+ 11,  8,  7119,   11,  9, 47049,   12,  8,  4838,   12,  9,  6530,   // 11, 9 
+ 11,  9,  7698,   11, 10, 45146,   12,  9,  5350,   12, 10,  7342,   // 11,10 
+ 11, 10,  8378,   11, 11, 42861,   12, 10,  5965,   12, 11,  8332,   // 11,11 
+ 11, 11,  9056,   11, 12, 40444,   12, 11,  6615,   12, 12,  9421,   // 11,12 
+ 11, 12,  9674,   11, 13, 38042,   12, 12,  7261,   12, 13, 10559,   // 11,13 
+ 11, 13, 10204,   11, 14, 35730,   12, 13,  7881,   12, 14, 11721,   // 11,14 
+ 11, 14, 10635,   11, 15, 33539,   12, 14,  8463,   12, 15, 12899,   // 11,15 
+ 11, -1,  8816,   11,  0, 13171,   12, -1, 11143,   12,  0, 32406,   // 12, 0 
+ 11,  0,  8284,   11,  1, 12074,   12,  0, 10808,   12,  1, 34370,   // 12, 1 
+ 11,  1,  7728,   11,  2, 11012,   12,  1, 10397,   12,  2, 36399,   // 12, 2 
+ 11,  2,  7164,   11,  3,  9998,   12,  2,  9924,   12,  3, 38450,   // 12, 3 
+ 11,  3,  6615,   11,  4,  9056,   12,  3,  9421,   12,  4, 40444,   // 12, 4 
+ 11,  4,  6116,   11,  5,  8224,   12,  4,  8940,   12,  5, 42256,   // 12, 5 
+ 11,  5,  5712,   11,  6,  7556,   12,  5,  8558,   12,  6, 43710,   // 12, 6 
+ 11,  6,  5454,   11,  7,  7106,   12,  6,  8359,   12,  7, 44617,   // 12, 7 
+ 12,  7,  8373,   12,  8, 44649,   13,  7,  5443,   13,  8,  7071,   // 12, 8 
+ 12,  8,  8584,   12,  9, 43733,   13,  8,  5703,   13,  9,  7516,   // 12, 9 
+ 12,  9,  8982,   12, 10, 42271,   13,  9,  6108,   13, 10,  8175,   // 12,10 
+ 12, 10,  9478,   12, 11, 40452,   13, 10,  6611,   13, 11,  8995,   // 12,11 
+ 12, 11,  9998,   12, 12, 38450,   13, 11,  7164,   13, 12,  9924,   // 12,12 
+ 12, 12, 10488,   12, 13, 36392,   13, 12,  7734,   13, 13, 10922,   // 12,13 
+ 12, 13, 10918,   12, 14, 34358,   13, 13,  8296,   13, 14, 11964,   // 12,14 
+ 12, 14, 11269,   12, 15, 32391,   13, 14,  8838,   13, 15, 13038,   // 12,15 
+ 12, -1,  9229,   12,  0, 13332,   13, -1, 11829,   13,  0, 31146,   // 13, 0 
+ 12,  0,  8735,   12,  1, 12334,   13,  0, 11580,   13,  1, 32887,   // 13, 1 
+ 12,  1,  8232,   12,  2, 11382,   13,  1, 11272,   13,  2, 34650,   // 13, 2 
+ 12,  2,  7734,   12,  3, 10488,   13,  2, 10922,   13,  3, 36392,   // 13, 3 
+ 12,  3,  7261,   12,  4,  9674,   13,  3, 10559,   13,  4, 38042,   // 13, 4 
+ 12,  4,  6842,   12,  5,  8966,   13,  4, 10226,   13,  5, 39502,   // 13, 5 
+ 12,  5,  6506,   12,  6,  8397,   13,  5,  9977,   13,  6, 40656,   // 13, 6 
+ 12,  6,  6284,   12,  7,  7996,   13,  6,  9867,   13,  7, 41389,   // 13, 7 
+ 13,  7,  9886,   13,  8, 41432,   14,  7,  6266,   14,  8,  7952,   // 13, 8 
+ 13,  8, 10013,   13,  9, 40688,   14,  8,  6491,   14,  9,  8344,   // 13, 9 
+ 13,  9, 10279,   13, 10, 39526,   14,  9,  6829,   14, 10,  8902,   // 13,10 
+ 13, 10, 10630,   13, 11, 38057,   14, 10,  7252,   14, 11,  9597,   // 13,11 
+ 13, 11, 11012,   13, 12, 36399,   14, 11,  7728,   14, 12, 10397,   // 13,12 
+ 13, 12, 11382,   13, 13, 34650,   14, 12,  8232,   14, 13, 11272,   // 13,13 
+ 13, 13, 11709,   13, 14, 32881,   14, 13,  8742,   14, 14, 12204,   // 13,14 
+ 13, 14, 11977,   13, 15, 31138,   14, 14,  9245,   14, 15, 13176,   // 13,15 
+ 13, -1,  9662,   13,  0, 13470,   14, -1, 12574,   14,  0, 29830,   // 14, 0 
+ 13,  0,  9202,   13,  1, 12564,   14,  0, 12412,   14,  1, 31358,   // 14, 1 
+ 13,  1,  8742,   13,  2, 11709,   14,  1, 12203,   14,  2, 32882,   // 14, 2 
+ 13,  2,  8296,   13,  3, 10918,   14,  2, 11964,   14,  3, 34358,   // 14, 3 
+ 13,  3,  7881,   13,  4, 10204,   14,  3, 11721,   14,  4, 35730,   // 14, 4 
+ 13,  4,  7517,   13,  5,  9587,   14,  4, 11507,   14,  5, 36925,   // 14, 5 
+ 13,  5,  7224,   13,  6,  9086,   14,  5, 11360,   14,  6, 37866,   // 14, 6 
+ 13,  6,  7020,   13,  7,  8718,   14,  6, 11317,   14,  7, 38481,   // 14, 7 
+ 14,  7, 11344,   14,  8, 38534,   15,  7,  6997,   15,  8,  8661,   // 14, 8 
+ 14,  8, 11407,   14,  9, 37906,   15,  8,  7202,   15,  9,  9021,   // 14, 9 
+ 14,  9, 11575,   14, 10, 36955,   15,  9,  7497,   15, 10,  9509,   // 14,10 
+ 14, 10, 11810,   14, 11, 35750,   15, 10,  7865,   15, 11, 10111,   // 14,11 
+ 14, 11, 12074,   14, 12, 34369,   15, 11,  8284,   15, 12, 10809,   // 14,12 
+ 14, 12, 12334,   14, 13, 32886,   15, 12,  8735,   15, 13, 11581,   // 14,13 
+ 14, 13, 12564,   14, 14, 31358,   15, 13,  9202,   15, 14, 12412,   // 14,14 
+ 14, 14, 12746,   14, 15, 29828,   15, 14,  9671,   15, 15, 13291,   // 14,15 
+ 14, -1, 10104,   14,  0, 13569,   15, -1, 13368,   15,  0, 28495,   // 15, 0 
+ 14,  0,  9671,   14,  1, 12746,   15,  0, 13291,   15,  1, 29828,   // 15, 1 
+ 14,  1,  9245,   14,  2, 11977,   15,  1, 13176,   15,  2, 31138,   // 15, 2 
+ 14,  2,  8838,   14,  3, 11269,   15,  2, 13038,   15,  3, 32391,   // 15, 3 
+ 14,  3,  8463,   14,  4, 10635,   15,  3, 12899,   15,  4, 33539,   // 15, 4 
+ 14,  4,  8135,   14,  5, 10086,   15,  4, 12783,   15,  5, 34532,   // 15, 5 
+ 14,  5,  7868,   14,  6,  9635,   15,  5, 12717,   15,  6, 35316,   // 15, 6 
+ 14,  6,  7674,   14,  7,  9290,   15,  6, 12728,   15,  7, 35844,   // 15, 7 
+ 15,  7, 12764,   15,  8, 35905,   16,  7,  7643,   16,  8,  9224,   // 15, 8 
+ 15,  8, 12777,   15,  9, 35362,   16,  8,  7839,   16,  9,  9558,   // 15, 9 
+ 15,  9, 12867,   15, 10, 34567,   16,  9,  8107,   16, 10,  9995,   // 15,10 
+ 15, 10, 13007,   15, 11, 33564,   16, 10,  8438,   16, 11, 10527,   // 15,11 
+ 15, 11, 13171,   15, 12, 32406,   16, 11,  8816,   16, 12, 11143,   // 15,12 
+ 15, 12, 13332,   15, 13, 31146,   16, 12,  9229,   16, 13, 11829,   // 15,13 
+ 15, 13, 13470,   15, 14, 29831,   16, 13,  9662,   16, 14, 12573,   // 15,14 
+ 15, 14, 13569,   15, 15, 28495,   16, 14, 10104,   16, 15, 13368,   // 15,15 
+ // angle of -1.5 degrees
+ -1,  0, 11440,   -1,  1,  8358,    0,  0, 34212,    0,  1, 11526,   //  0, 0 
+ -1,  1, 10780,   -1,  2,  7983,    0,  1, 35506,    0,  2, 11267,   //  0, 1 
+ -1,  2, 10158,   -1,  3,  7620,    0,  2, 36764,    0,  3, 10994,   //  0, 2 
+ -1,  3,  9585,   -1,  4,  7276,    0,  3, 37951,    0,  4, 10724,   //  0, 3 
+ -1,  4,  9072,   -1,  5,  6965,    0,  4, 39026,    0,  5, 10473,   //  0, 4 
+ -1,  5,  8632,   -1,  6,  6699,    0,  5, 39940,    0,  6, 10265,   //  0, 5 
+ -1,  6,  8278,   -1,  7,  6489,    0,  6, 40646,    0,  7, 10123,   //  0, 6 
+ -1,  7,  8018,   -1,  8,  6346,    0,  7, 41106,    0,  8, 10066,   //  0, 7 
+  0,  8, 41072,    0,  9, 10052,    1,  8,  8052,    1,  9,  6360,   //  0, 8 
+  0,  9, 40618,    0, 10, 10100,    1,  9,  8316,    1, 10,  6502,   //  0, 9 
+  0, 10, 39918,    0, 11, 10232,    1, 10,  8676,    1, 11,  6710,   //  0,10 
+  0, 11, 39009,    0, 12, 10430,    1, 11,  9122,    1, 12,  6975,   //  0,11 
+  0, 12, 37939,    0, 13, 10670,    1, 12,  9642,    1, 13,  7285,   //  0,12 
+  0, 13, 36756,    0, 14, 10930,    1, 13, 10224,    1, 14,  7626,   //  0,13 
+  0, 14, 35502,    0, 15, 11192,    1, 14, 10855,    1, 15,  7987,   //  0,14 
+  0, 15, 34212,    0, 16, 11440,    1, 15, 11526,    1, 16,  8358,   //  0,15 
+  0,  0, 11192,    0,  1,  7987,    1,  0, 35502,    1,  1, 10855,   //  1, 0 
+  0,  1, 10467,    0,  2,  7579,    1,  1, 36959,    1,  2, 10531,   //  1, 1 
+  0,  2,  9777,    0,  3,  7177,    1,  2, 38394,    1,  3, 10188,   //  1, 2 
+  0,  3,  9135,    0,  4,  6792,    1,  3, 39767,    1,  4,  9842,   //  1, 3 
+  0,  4,  8557,    0,  5,  6440,    1,  4, 41026,    1,  5,  9513,   //  1, 4 
+  0,  5,  8061,    0,  6,  6137,    1,  5, 42105,    1,  6,  9233,   //  1, 5 
+  0,  6,  7667,    0,  7,  5900,    1,  6, 42936,    1,  7,  9033,   //  1, 6 
+  0,  7,  7390,    0,  8,  5745,    1,  7, 43461,    1,  8,  8940,   //  1, 7 
+  1,  8, 43433,    1,  9,  8929,    2,  8,  7418,    2,  9,  5756,   //  1, 8 
+  1,  9, 42913,    1, 10,  9014,    2,  9,  7699,    2, 10,  5910,   //  1, 9 
+  1, 10, 42087,    1, 11,  9206,    2, 10,  8098,    2, 11,  6145,   //  1,10 
+  1, 11, 41013,    1, 12,  9478,    2, 11,  8599,    2, 12,  6446,   //  1,11 
+  1, 12, 39759,    1, 13,  9796,    2, 12,  9184,    2, 13,  6797,   //  1,12 
+  1, 13, 38390,    1, 14, 10133,    2, 13,  9834,    2, 14,  7179,   //  1,13 
+  1, 14, 36959,    1, 15, 10467,    2, 14, 10532,    2, 15,  7578,   //  1,14 
+  1, 15, 35506,    1, 16, 10780,    2, 15, 11267,    2, 16,  7983,   //  1,15 
+  1,  0, 10930,    1,  1,  7626,    2,  0, 36756,    2,  1, 10224,   //  2, 0 
+  1,  1, 10133,    1,  2,  7179,    2,  1, 38390,    2,  2,  9834,   //  2, 1 
+  1,  2,  9366,    1,  3,  6732,    2,  2, 40025,    2,  3,  9413,   //  2, 2 
+  1,  3,  8641,    1,  4,  6297,    2,  3, 41618,    2,  4,  8980,   //  2, 3 
+  1,  4,  7981,    1,  5,  5891,    2,  4, 43105,    2,  5,  8559,   //  2, 4 
+  1,  5,  7411,    1,  6,  5537,    2,  5, 44399,    2,  6,  8189,   //  2, 5 
+  1,  6,  6961,    1,  7,  5261,    2,  6, 45401,    2,  7,  7913,   //  2, 6 
+  1,  7,  6658,    1,  8,  5087,    2,  7, 46017,    2,  8,  7774,   //  2, 7 
+  2,  8, 45995,    2,  9,  7766,    3,  8,  6680,    3,  9,  5095,   //  2, 8 
+  2,  9, 45383,    2, 10,  7899,    3,  9,  6986,    3, 10,  5268,   //  2, 9 
+  2, 10, 44386,    2, 11,  8167,    3, 10,  7440,    3, 11,  5543,   //  2,10 
+  2, 11, 43096,    2, 12,  8530,    3, 11,  8015,    3, 12,  5895,   //  2,11 
+  2, 12, 41614,    2, 13,  8941,    3, 12,  8681,    3, 13,  6300,   //  2,12 
+  2, 13, 40025,    2, 14,  9366,    3, 13,  9413,    3, 14,  6732,   //  2,13 
+  2, 14, 38394,    2, 15,  9777,    3, 14, 10188,    3, 15,  7177,   //  2,14 
+  2, 15, 36764,    2, 16, 10158,    3, 15, 10994,    3, 16,  7620,   //  2,15 
+  2,  0, 10670,    2,  1,  7285,    3,  0, 37939,    3,  1,  9642,   //  3, 0 
+  2,  1,  9796,    2,  2,  6797,    3,  1, 39759,    3,  2,  9184,   //  3, 1 
+  2,  2,  8941,    2,  3,  6299,    3,  2, 41614,    3,  3,  8682,   //  3, 2 
+  2,  3,  8120,    2,  4,  5804,    3,  3, 43461,    3,  4,  8151,   //  3, 3 
+  2,  4,  7356,    2,  5,  5330,    3,  4, 45229,    3,  5,  7621,   //  3, 4 
+  2,  5,  6685,    2,  6,  4906,    3,  5, 46806,    3,  6,  7139,   //  3, 5 
+  2,  6,  6154,    2,  7,  4572,    3,  6, 48049,    3,  7,  6761,   //  3, 6 
+  2,  7,  5811,    2,  8,  4366,    3,  7, 48801,    3,  8,  6558,   //  3, 7 
+  3,  8, 48785,    3,  9,  6552,    4,  8,  5827,    4,  9,  4372,   //  3, 8 
+  3,  9, 48037,    3, 10,  6750,    4,  9,  6173,    4, 10,  4576,   //  3, 9 
+  3, 10, 46798,    3, 11,  7121,    4, 10,  6707,    4, 11,  4910,   //  3,10 
+  3, 11, 45224,    3, 12,  7598,    4, 11,  7382,    4, 12,  5332,   //  3,11 
+  3, 12, 43461,    3, 13,  8120,    4, 12,  8151,    4, 13,  5804,   //  3,12 
+  3, 13, 41618,    3, 14,  8641,    4, 13,  8979,    4, 14,  6298,   //  3,13 
+  3, 14, 39767,    3, 15,  9135,    4, 14,  9841,    4, 15,  6793,   //  3,14 
+  3, 15, 37951,    3, 16,  9585,    4, 15, 10723,    4, 16,  7277,   //  3,15 
+  3,  0, 10430,    3,  1,  6975,    4,  0, 39009,    4,  1,  9122,   //  4, 0 
+  3,  1,  9478,    3,  2,  6447,    4,  1, 41013,    4,  2,  8598,   //  4, 1 
+  3,  2,  8530,    3,  3,  5895,    4,  2, 43096,    4,  3,  8015,   //  4, 2 
+  3,  3,  7598,    3,  4,  5331,    4,  3, 45224,    4,  4,  7383,   //  4, 3 
+  3,  4,  6708,    3,  5,  4774,    4,  4, 47328,    4,  5,  6726,   //  4, 4 
+  3,  5,  5901,    3,  6,  4257,    4,  5, 49279,    4,  6,  6099,   //  4, 5 
+  3,  6,  5248,    3,  7,  3834,    4,  6, 50873,    4,  7,  5581,   //  4, 6 
+  3,  7,  4835,    3,  8,  3575,    4,  7, 51842,    4,  8,  5284,   //  4, 7 
+  4,  8, 51832,    4,  9,  5280,    5,  8,  4846,    5,  9,  3578,   //  4, 8 
+  4,  9, 50865,    4, 10,  5573,    5,  9,  5261,    5, 10,  3837,   //  4, 9 
+  4, 10, 49275,    4, 11,  6086,    5, 10,  5917,    5, 11,  4258,   //  4,10 
+  4, 11, 47328,    4, 12,  6708,    5, 11,  6727,    5, 12,  4773,   //  4,11 
+  4, 12, 45229,    4, 13,  7356,    5, 12,  7622,    5, 13,  5329,   //  4,12 
+  4, 13, 43105,    4, 14,  7981,    5, 13,  8559,    5, 14,  5891,   //  4,13 
+  4, 14, 41026,    4, 15,  8557,    5, 14,  9513,    5, 15,  6440,   //  4,14 
+  4, 15, 39026,    4, 16,  9072,    5, 15, 10473,    5, 16,  6965,   //  4,15 
+  4,  0, 10232,    4,  1,  6710,    5,  0, 39918,    5,  1,  8676,   //  5, 0 
+  4,  1,  9206,    4,  2,  6145,    5,  1, 42087,    5,  2,  8098,   //  5, 1 
+  4,  2,  8167,    4,  3,  5543,    5,  2, 44386,    5,  3,  7440,   //  5, 2 
+  4,  3,  7121,    4,  4,  4909,    5,  3, 46798,    5,  4,  6708,   //  5, 3 
+  4,  4,  6086,    4,  5,  4258,    5,  4, 49275,    5,  5,  5917,   //  5, 4 
+  4,  5,  5103,    4,  6,  3621,    5,  5, 51700,    5,  6,  5112,   //  5, 5 
+  4,  6,  4262,    4,  7,  3064,    5,  6, 53816,    5,  7,  4394,   //  5, 6 
+  4,  7,  3720,    4,  8,  2708,    5,  7, 55168,    5,  8,  3940,   //  5, 7 
+  5,  8, 55162,    5,  9,  3938,    6,  8,  3726,    6,  9,  2710,   //  5, 8 
+  5,  9, 53813,    5, 10,  4388,    6,  9,  4269,    6, 10,  3066,   //  5, 9 
+  5, 10, 51700,    5, 11,  5103,    6, 10,  5113,    6, 11,  3620,   //  5,10 
+  5, 11, 49279,    5, 12,  5901,    6, 11,  6099,    6, 12,  4257,   //  5,11 
+  5, 12, 46806,    5, 13,  6685,    6, 12,  7138,    6, 13,  4907,   //  5,12 
+  5, 13, 44399,    5, 14,  7411,    6, 13,  8189,    6, 14,  5537,   //  5,13 
+  5, 14, 42105,    5, 15,  8061,    6, 14,  9233,    6, 15,  6137,   //  5,14 
+  5, 15, 39940,    5, 16,  8632,    6, 15, 10265,    6, 16,  6699,   //  5,15 
+  5,  0, 10100,    5,  1,  6502,    6,  0, 40618,    6,  1,  8316,   //  6, 0 
+  5,  1,  9014,    5,  2,  5910,    6,  1, 42913,    6,  2,  7699,   //  6, 1 
+  5,  2,  7899,    5,  3,  5268,    6,  2, 45383,    6,  3,  6986,   //  6, 2 
+  5,  3,  6750,    5,  4,  4576,    6,  3, 48037,    6,  4,  6173,   //  6, 3 
+  5,  4,  5573,    5,  5,  3837,    6,  4, 50865,    6,  5,  5261,   //  6, 4 
+  5,  5,  4388,    5,  6,  3065,    6,  5, 53813,    6,  6,  4270,   //  6, 5 
+  5,  6,  3271,    5,  7,  2316,    6,  6, 56673,    6,  7,  3276,   //  6, 6 
+  5,  7,  2462,    5,  8,  1766,    6,  7, 58775,    6,  8,  2533,   //  6, 7 
+  6,  8, 58773,    6,  9,  2532,    7,  8,  2464,    7,  9,  1767,   //  6, 8 
+  6,  9, 56673,    6, 10,  3271,    7,  9,  3275,    7, 10,  2317,   //  6, 9 
+  6, 10, 53816,    6, 11,  4262,    7, 10,  4394,    7, 11,  3064,   //  6,10 
+  6, 11, 50873,    6, 12,  5248,    7, 11,  5581,    7, 12,  3834,   //  6,11 
+  6, 12, 48049,    6, 13,  6154,    7, 12,  6761,    7, 13,  4572,   //  6,12 
+  6, 13, 45401,    6, 14,  6961,    7, 13,  7913,    7, 14,  5261,   //  6,13 
+  6, 14, 42936,    6, 15,  7667,    7, 14,  9032,    7, 15,  5901,   //  6,14 
+  6, 15, 40646,    6, 16,  8278,    7, 15, 10123,    7, 16,  6489,   //  6,15 
+  6,  0, 10052,    6,  1,  6360,    7,  0, 41072,    7,  1,  8052,   //  7, 0 
+  6,  1,  8929,    6,  2,  5756,    7,  1, 43433,    7,  2,  7418,   //  7, 1 
+  6,  2,  7766,    6,  3,  5095,    7,  2, 45995,    7,  3,  6680,   //  7, 2 
+  6,  3,  6552,    6,  4,  4372,    7,  3, 48785,    7,  4,  5827,   //  7, 3 
+  6,  4,  5280,    6,  5,  3579,    7,  4, 51832,    7,  5,  4845,   //  7, 4 
+  6,  5,  3938,    6,  6,  2710,    7,  5, 55162,    7,  6,  3726,   //  7, 5 
+  6,  6,  2532,    6,  7,  1767,    7,  6, 58773,    7,  7,  2464,   //  7, 6 
+  6,  7,  1170,    6,  8,   827,    7,  7, 62369,    7,  8,  1170,   //  7, 7 
+  7,  8, 62369,    7,  9,  1170,    8,  8,  1170,    8,  9,   827,   //  7, 8 
+  7,  9, 58775,    7, 10,  2462,    8,  9,  2533,    8, 10,  1766,   //  7, 9 
+  7, 10, 55168,    7, 11,  3720,    8, 10,  3940,    8, 11,  2708,   //  7,10 
+  7, 11, 51842,    7, 12,  4835,    8, 11,  5283,    8, 12,  3576,   //  7,11 
+  7, 12, 48801,    7, 13,  5811,    8, 12,  6558,    8, 13,  4366,   //  7,12 
+  7, 13, 46017,    7, 14,  6658,    8, 13,  7773,    8, 14,  5088,   //  7,13 
+  7, 14, 43461,    7, 15,  7390,    8, 14,  8939,    8, 15,  5746,   //  7,14 
+  7, 15, 41106,    7, 16,  8018,    8, 15, 10066,    8, 16,  6346,   //  7,15 
+  7, -1,  6346,    7,  0, 10066,    8, -1,  8018,    8,  0, 41106,   //  8, 0 
+  7,  0,  5745,    7,  1,  8939,    8,  0,  7390,    8,  1, 43462,   //  8, 1 
+  7,  1,  5087,    7,  2,  7773,    8,  1,  6658,    8,  2, 46018,   //  8, 2 
+  7,  2,  4366,    7,  3,  6558,    8,  2,  5811,    8,  3, 48801,   //  8, 3 
+  7,  3,  3575,    7,  4,  5283,    8,  3,  4835,    8,  4, 51843,   //  8, 4 
+  7,  4,  2708,    7,  5,  3940,    8,  4,  3720,    8,  5, 55168,   //  8, 5 
+  7,  5,  1766,    7,  6,  2533,    8,  5,  2462,    8,  6, 58775,   //  8, 6 
+  7,  6,   827,    7,  7,  1170,    8,  6,  1170,    8,  7, 62369,   //  8, 7 
+  8,  7,  1170,    8,  8, 62369,    9,  7,   827,    9,  8,  1170,   //  8, 8 
+  8,  8,  2464,    8,  9, 58773,    9,  8,  1767,    9,  9,  2532,   //  8, 9 
+  8,  9,  3726,    8, 10, 55162,    9,  9,  2710,    9, 10,  3938,   //  8,10 
+  8, 10,  4846,    8, 11, 51832,    9, 10,  3579,    9, 11,  5279,   //  8,11 
+  8, 11,  5827,    8, 12, 48785,    9, 11,  4372,    9, 12,  6552,   //  8,12 
+  8, 12,  6680,    8, 13, 45995,    9, 12,  5095,    9, 13,  7766,   //  8,13 
+  8, 13,  7418,    8, 14, 43433,    9, 13,  5756,    9, 14,  8929,   //  8,14 
+  8, 14,  8052,    8, 15, 41072,    9, 14,  6360,    9, 15, 10052,   //  8,15 
+  8, -1,  6489,    8,  0, 10123,    9, -1,  8278,    9,  0, 40646,   //  9, 0 
+  8,  0,  5900,    8,  1,  9032,    9,  0,  7667,    9,  1, 42937,   //  9, 1 
+  8,  1,  5261,    8,  2,  7913,    9,  1,  6961,    9,  2, 45401,   //  9, 2 
+  8,  2,  4572,    8,  3,  6761,    9,  2,  6154,    9,  3, 48049,   //  9, 3 
+  8,  3,  3834,    8,  4,  5581,    9,  3,  5248,    9,  4, 50873,   //  9, 4 
+  8,  4,  3064,    8,  5,  4394,    9,  4,  4262,    9,  5, 53816,   //  9, 5 
+  8,  5,  2316,    8,  6,  3275,    9,  5,  3271,    9,  6, 56674,   //  9, 6 
+  8,  6,  1767,    8,  7,  2464,    9,  6,  2532,    9,  7, 58773,   //  9, 7 
+  9,  7,  2533,    9,  8, 58775,   10,  7,  1766,   10,  8,  2462,   //  9, 8 
+  9,  8,  3275,    9,  9, 56673,   10,  8,  2316,   10,  9,  3272,   //  9, 9 
+  9,  9,  4269,    9, 10, 53813,   10,  9,  3065,   10, 10,  4389,   //  9,10 
+  9, 10,  5261,    9, 11, 50865,   10, 10,  3837,   10, 11,  5573,   //  9,11 
+  9, 11,  6173,    9, 12, 48037,   10, 11,  4576,   10, 12,  6750,   //  9,12 
+  9, 12,  6986,    9, 13, 45383,   10, 12,  5268,   10, 13,  7899,   //  9,13 
+  9, 13,  7699,    9, 14, 42913,   10, 13,  5910,   10, 14,  9014,   //  9,14 
+  9, 14,  8316,    9, 15, 40618,   10, 14,  6502,   10, 15, 10100,   //  9,15 
+  9, -1,  6699,    9,  0, 10265,   10, -1,  8632,   10,  0, 39940,   // 10, 0 
+  9,  0,  6137,    9,  1,  9233,   10,  0,  8061,   10,  1, 42105,   // 10, 1 
+  9,  1,  5537,    9,  2,  8189,   10,  1,  7411,   10,  2, 44399,   // 10, 2 
+  9,  2,  4906,    9,  3,  7138,   10,  2,  6685,   10,  3, 46807,   // 10, 3 
+  9,  3,  4257,    9,  4,  6099,   10,  3,  5901,   10,  4, 49279,   // 10, 4 
+  9,  4,  3621,    9,  5,  5113,   10,  4,  5103,   10,  5, 51699,   // 10, 5 
+  9,  5,  3065,    9,  6,  4269,   10,  5,  4388,   10,  6, 53814,   // 10, 6 
+  9,  6,  2710,    9,  7,  3726,   10,  6,  3938,   10,  7, 55162,   // 10, 7 
+ 10,  7,  3940,   10,  8, 55168,   11,  7,  2708,   11,  8,  3720,   // 10, 8 
+ 10,  8,  4394,   10,  9, 53816,   11,  8,  3064,   11,  9,  4262,   // 10, 9 
+ 10,  9,  5113,   10, 10, 51700,   11,  9,  3621,   11, 10,  5102,   // 10,10 
+ 10, 10,  5917,   10, 11, 49275,   11, 10,  4258,   11, 11,  6086,   // 10,11 
+ 10, 11,  6707,   10, 12, 46798,   11, 11,  4909,   11, 12,  7122,   // 10,12 
+ 10, 12,  7440,   10, 13, 44386,   11, 12,  5543,   11, 13,  8167,   // 10,13 
+ 10, 13,  8098,   10, 14, 42087,   11, 13,  6145,   11, 14,  9206,   // 10,14 
+ 10, 14,  8676,   10, 15, 39918,   11, 14,  6710,   11, 15, 10232,   // 10,15 
+ 10, -1,  6965,   10,  0, 10473,   11, -1,  9072,   11,  0, 39026,   // 11, 0 
+ 10,  0,  6440,   10,  1,  9513,   11,  0,  8557,   11,  1, 41026,   // 11, 1 
+ 10,  1,  5891,   10,  2,  8559,   11,  1,  7981,   11,  2, 43105,   // 11, 2 
+ 10,  2,  5330,   10,  3,  7622,   11,  2,  7356,   11,  3, 45228,   // 11, 3 
+ 10,  3,  4774,   10,  4,  6727,   11,  3,  6708,   11,  4, 47327,   // 11, 4 
+ 10,  4,  4258,   10,  5,  5917,   11,  4,  6086,   11,  5, 49275,   // 11, 5 
+ 10,  5,  3837,   10,  6,  5261,   11,  5,  5573,   11,  6, 50865,   // 11, 6 
+ 10,  6,  3579,   10,  7,  4846,   11,  6,  5280,   11,  7, 51831,   // 11, 7 
+ 11,  7,  5283,   11,  8, 51842,   12,  7,  3575,   12,  8,  4836,   // 11, 8 
+ 11,  8,  5581,   11,  9, 50873,   12,  8,  3834,   12,  9,  5248,   // 11, 9 
+ 11,  9,  6099,   11, 10, 49279,   12,  9,  4257,   12, 10,  5901,   // 11,10 
+ 11, 10,  6727,   11, 11, 47328,   12, 10,  4774,   12, 11,  6707,   // 11,11 
+ 11, 11,  7382,   11, 12, 45224,   12, 11,  5331,   12, 12,  7599,   // 11,12 
+ 11, 12,  8015,   11, 13, 43096,   12, 12,  5895,   12, 13,  8530,   // 11,13 
+ 11, 13,  8599,   11, 14, 41013,   12, 13,  6447,   12, 14,  9477,   // 11,14 
+ 11, 14,  9122,   11, 15, 39009,   12, 14,  6975,   12, 15, 10430,   // 11,15 
+ 11, -1,  7276,   11,  0, 10723,   12, -1,  9585,   12,  0, 37952,   // 12, 0 
+ 11,  0,  6792,   11,  1,  9841,   12,  0,  9135,   12,  1, 39768,   // 12, 1 
+ 11,  1,  6297,   11,  2,  8979,   12,  1,  8641,   12,  2, 41619,   // 12, 2 
+ 11,  2,  5804,   11,  3,  8151,   12,  2,  8120,   12,  3, 43461,   // 12, 3 
+ 11,  3,  5331,   11,  4,  7382,   12,  3,  7598,   12,  4, 45225,   // 12, 4 
+ 11,  4,  4909,   11,  5,  6707,   12,  4,  7121,   12,  5, 46799,   // 12, 5 
+ 11,  5,  4576,   11,  6,  6173,   12,  5,  6750,   12,  6, 48037,   // 12, 6 
+ 11,  6,  4372,   11,  7,  5827,   12,  6,  6552,   12,  7, 48785,   // 12, 7 
+ 12,  7,  6558,   12,  8, 48801,   13,  7,  4366,   13,  8,  5811,   // 12, 8 
+ 12,  8,  6761,   12,  9, 48049,   13,  8,  4572,   13,  9,  6154,   // 12, 9 
+ 12,  9,  7138,   12, 10, 46806,   13,  9,  4906,   13, 10,  6686,   // 12,10 
+ 12, 10,  7622,   12, 11, 45229,   13, 10,  5330,   13, 11,  7355,   // 12,11 
+ 12, 11,  8151,   12, 12, 43461,   13, 11,  5804,   13, 12,  8120,   // 12,12 
+ 12, 12,  8681,   12, 13, 41614,   13, 12,  6299,   13, 13,  8942,   // 12,13 
+ 12, 13,  9184,   12, 14, 39759,   13, 13,  6797,   13, 14,  9796,   // 12,14 
+ 12, 14,  9642,   12, 15, 37939,   13, 14,  7285,   13, 15, 10670,   // 12,15 
+ 12, -1,  7620,   12,  0, 10994,   13, -1, 10158,   13,  0, 36764,   // 13, 0 
+ 12,  0,  7177,   12,  1, 10188,   13,  0,  9777,   13,  1, 38394,   // 13, 1 
+ 12,  1,  6732,   12,  2,  9413,   13,  1,  9366,   13,  2, 40025,   // 13, 2 
+ 12,  2,  6299,   12,  3,  8681,   13,  2,  8941,   13,  3, 41615,   // 13, 3 
+ 12,  3,  5895,   12,  4,  8015,   13,  3,  8530,   13,  4, 43096,   // 13, 4 
+ 12,  4,  5543,   12,  5,  7440,   13,  4,  8167,   13,  5, 44386,   // 13, 5 
+ 12,  5,  5268,   12,  6,  6986,   13,  5,  7899,   13,  6, 45383,   // 13, 6 
+ 12,  6,  5095,   12,  7,  6680,   13,  6,  7766,   13,  7, 45995,   // 13, 7 
+ 13,  7,  7773,   13,  8, 46017,   14,  7,  5087,   14,  8,  6659,   // 13, 8 
+ 13,  8,  7913,   13,  9, 45401,   14,  8,  5261,   14,  9,  6961,   // 13, 9 
+ 13,  9,  8189,   13, 10, 44399,   14,  9,  5537,   14, 10,  7411,   // 13,10 
+ 13, 10,  8559,   13, 11, 43105,   14, 10,  5891,   14, 11,  7981,   // 13,11 
+ 13, 11,  8979,   13, 12, 41618,   14, 11,  6297,   14, 12,  8642,   // 13,12 
+ 13, 12,  9413,   13, 13, 40025,   14, 12,  6732,   14, 13,  9366,   // 13,13 
+ 13, 13,  9834,   13, 14, 38390,   14, 13,  7179,   14, 14, 10133,   // 13,14 
+ 13, 14, 10224,   13, 15, 36756,   14, 14,  7626,   14, 15, 10930,   // 13,15 
+ 13, -1,  7983,   13,  0, 11267,   14, -1, 10780,   14,  0, 35506,   // 14, 0 
+ 13,  0,  7579,   13,  1, 10532,   14,  0, 10467,   14,  1, 36958,   // 14, 1 
+ 13,  1,  7179,   13,  2,  9834,   14,  1, 10133,   14,  2, 38390,   // 14, 2 
+ 13,  2,  6797,   13,  3,  9184,   14,  2,  9796,   14,  3, 39759,   // 14, 3 
+ 13,  3,  6447,   13,  4,  8599,   14,  3,  9478,   14,  4, 41012,   // 14, 4 
+ 13,  4,  6145,   13,  5,  8098,   14,  4,  9206,   14,  5, 42087,   // 14, 5 
+ 13,  5,  5910,   13,  6,  7699,   14,  5,  9014,   14,  6, 42913,   // 14, 6 
+ 13,  6,  5756,   13,  7,  7418,   14,  6,  8929,   14,  7, 43433,   // 14, 7 
+ 14,  7,  8939,   14,  8, 43461,   15,  7,  5745,   15,  8,  7391,   // 14, 8 
+ 14,  8,  9032,   14,  9, 42936,   15,  8,  5900,   15,  9,  7668,   // 14, 9 
+ 14,  9,  9233,   14, 10, 42105,   15,  9,  6137,   15, 10,  8061,   // 14,10 
+ 14, 10,  9513,   14, 11, 41026,   15, 10,  6440,   15, 11,  8557,   // 14,11 
+ 14, 11,  9841,   14, 12, 39767,   15, 11,  6792,   15, 12,  9136,   // 14,12 
+ 14, 12, 10188,   14, 13, 38394,   15, 12,  7177,   15, 13,  9777,   // 14,13 
+ 14, 13, 10532,   14, 14, 36959,   15, 13,  7579,   15, 14, 10466,   // 14,14 
+ 14, 14, 10855,   14, 15, 35502,   15, 14,  7987,   15, 15, 11192,   // 14,15 
+ 14, -1,  8358,   14,  0, 11526,   15, -1, 11440,   15,  0, 34212,   // 15, 0 
+ 14,  0,  7987,   14,  1, 10855,   15,  0, 11192,   15,  1, 35502,   // 15, 1 
+ 14,  1,  7626,   14,  2, 10224,   15,  1, 10930,   15,  2, 36756,   // 15, 2 
+ 14,  2,  7285,   14,  3,  9642,   15,  2, 10670,   15,  3, 37939,   // 15, 3 
+ 14,  3,  6975,   14,  4,  9122,   15,  3, 10430,   15,  4, 39009,   // 15, 4 
+ 14,  4,  6710,   14,  5,  8676,   15,  4, 10232,   15,  5, 39918,   // 15, 5 
+ 14,  5,  6502,   14,  6,  8316,   15,  5, 10100,   15,  6, 40618,   // 15, 6 
+ 14,  6,  6360,   14,  7,  8052,   15,  6, 10052,   15,  7, 41072,   // 15, 7 
+ 15,  7, 10066,   15,  8, 41106,   16,  7,  6346,   16,  8,  8018,   // 15, 8 
+ 15,  8, 10123,   15,  9, 40646,   16,  8,  6489,   16,  9,  8278,   // 15, 9 
+ 15,  9, 10265,   15, 10, 39940,   16,  9,  6699,   16, 10,  8632,   // 15,10 
+ 15, 10, 10473,   15, 11, 39026,   16, 10,  6965,   16, 11,  9072,   // 15,11 
+ 15, 11, 10723,   15, 12, 37951,   16, 11,  7276,   16, 12,  9586,   // 15,12 
+ 15, 12, 10994,   15, 13, 36764,   16, 12,  7620,   16, 13, 10158,   // 15,13 
+ 15, 13, 11267,   15, 14, 35506,   16, 13,  7983,   16, 14, 10780,   // 15,14 
+ 15, 14, 11526,   15, 15, 34212,   16, 14,  8358,   16, 15, 11440,   // 15,15 
+ // angle of -1.0 degrees
+ -1,  0,  8769,   -1,  1,  6280,    0,  0, 41693,    0,  1,  8794,   //  0, 0 
+ -1,  1,  8265,   -1,  2,  5974,    0,  1, 42823,    0,  2,  8474,   //  0, 1 
+ -1,  2,  7791,   -1,  3,  5682,    0,  2, 43904,    0,  3,  8159,   //  0, 2 
+ -1,  3,  7356,   -1,  4,  5410,    0,  3, 44907,    0,  4,  7863,   //  0, 3 
+ -1,  4,  6970,   -1,  5,  5169,    0,  4, 45799,    0,  5,  7598,   //  0, 4 
+ -1,  5,  6644,   -1,  6,  4967,    0,  5, 46541,    0,  6,  7384,   //  0, 5 
+ -1,  6,  6391,   -1,  7,  4814,    0,  6, 47098,    0,  7,  7233,   //  0, 6 
+ -1,  7,  6217,   -1,  8,  4718,    0,  7, 47440,    0,  8,  7161,   //  0, 7 
+  0,  8, 47426,    0,  9,  7158,    1,  8,  6230,    1,  9,  4722,   //  0, 8 
+  0,  9, 47086,    0, 10,  7227,    1,  9,  6405,    1, 10,  4818,   //  0, 9 
+  0, 10, 46532,    0, 11,  7374,    1, 10,  6659,    1, 11,  4971,   //  0,10 
+  0, 11, 45791,    0, 12,  7587,    1, 11,  6986,    1, 12,  5172,   //  0,11 
+  0, 12, 44901,    0, 13,  7848,    1, 12,  7374,    1, 13,  5413,   //  0,12 
+  0, 13, 43900,    0, 14,  8141,    1, 13,  7812,    1, 14,  5683,   //  0,13 
+  0, 14, 42821,    0, 15,  8452,    1, 14,  8288,    1, 15,  5975,   //  0,14 
+  0, 15, 41693,    0, 16,  8769,    1, 15,  8795,    1, 16,  6279,   //  0,15 
+  0,  0,  8452,    0,  1,  5975,    1,  0, 42821,    1,  1,  8288,   //  1, 0 
+  0,  1,  7901,    0,  2,  5640,    1,  1, 44074,    1,  2,  7921,   //  1, 1 
+  0,  2,  7378,    0,  3,  5315,    1,  2, 45288,    1,  3,  7555,   //  1, 2 
+  0,  3,  6892,    0,  4,  5009,    1,  3, 46430,    1,  4,  7205,   //  1, 3 
+  0,  4,  6458,    0,  5,  4734,    1,  4, 47458,    1,  5,  6886,   //  1, 4 
+  0,  5,  6092,    0,  6,  4502,    1,  5, 48322,    1,  6,  6620,   //  1, 5 
+  0,  6,  5809,    0,  7,  4327,    1,  6, 48969,    1,  7,  6431,   //  1, 6 
+  0,  7,  5623,    0,  8,  4221,    1,  7, 49358,    1,  8,  6334,   //  1, 7 
+  1,  8, 49347,    1,  9,  6332,    2,  8,  5633,    2,  9,  4224,   //  1, 8 
+  1,  9, 48960,    1, 10,  6425,    2,  9,  5820,    2, 10,  4331,   //  1, 9 
+  1, 10, 48314,    1, 11,  6613,    2, 10,  6104,    2, 11,  4505,   //  1,10 
+  1, 11, 47453,    1, 12,  6875,    2, 11,  6472,    2, 12,  4736,   //  1,11 
+  1, 12, 46427,    1, 13,  7191,    2, 12,  6908,    2, 13,  5010,   //  1,12 
+  1, 13, 45286,    1, 14,  7539,    2, 13,  7395,    2, 14,  5316,   //  1,13 
+  1, 14, 44074,    1, 15,  7901,    2, 14,  7921,    2, 15,  5640,   //  1,14 
+  1, 15, 42823,    1, 16,  8265,    2, 15,  8474,    2, 16,  5974,   //  1,15 
+  1,  0,  8141,    1,  1,  5684,    2,  0, 43900,    2,  1,  7811,   //  2, 0 
+  1,  1,  7539,    1,  2,  5316,    2,  1, 45286,    2,  2,  7395,   //  2, 1 
+  1,  2,  6959,    1,  3,  4954,    2,  2, 46650,    2,  3,  6973,   //  2, 2 
+  1,  3,  6414,    1,  4,  4607,    2,  3, 47955,    2,  4,  6560,   //  2, 3 
+  1,  4,  5920,    1,  5,  4290,    2,  4, 49150,    2,  5,  6176,   //  2, 4 
+  1,  5,  5499,    1,  6,  4019,    2,  5, 50171,    2,  6,  5847,   //  2, 5 
+  1,  6,  5175,    1,  7,  3813,    2,  6, 50942,    2,  7,  5606,   //  2, 6 
+  1,  7,  4970,    1,  8,  3691,    2,  7, 51395,    2,  8,  5480,   //  2, 7 
+  2,  8, 51387,    2,  9,  5478,    3,  8,  4978,    3,  9,  3693,   //  2, 8 
+  2,  9, 50935,    2, 10,  5602,    3,  9,  5184,    3, 10,  3815,   //  2, 9 
+  2, 10, 50165,    2, 11,  5842,    3, 10,  5508,    3, 11,  4021,   //  2,10 
+  2, 11, 49147,    2, 12,  6168,    3, 11,  5930,    3, 12,  4291,   //  2,11 
+  2, 12, 47953,    2, 13,  6549,    3, 12,  6426,    3, 13,  4608,   //  2,12 
+  2, 13, 46650,    2, 14,  6959,    3, 13,  6973,    3, 14,  4954,   //  2,13 
+  2, 14, 45288,    2, 15,  7378,    3, 14,  7555,    3, 15,  5315,   //  2,14 
+  2, 15, 43904,    2, 16,  7791,    3, 15,  8159,    3, 16,  5682,   //  2,15 
+  2,  0,  7848,    2,  1,  5413,    3,  0, 44901,    3,  1,  7374,   //  3, 0 
+  2,  1,  7191,    2,  2,  5011,    3,  1, 46427,    3,  2,  6907,   //  3, 1 
+  2,  2,  6549,    2,  3,  4608,    3,  2, 47953,    3,  3,  6426,   //  3, 2 
+  2,  3,  5934,    2,  4,  4214,    3,  3, 49445,    3,  4,  5943,   //  3, 3 
+  2,  4,  5365,    2,  5,  3845,    3,  4, 50844,    3,  5,  5482,   //  3, 4 
+  2,  5,  4872,    2,  6,  3522,    3,  5, 52069,    3,  6,  5073,   //  3, 5 
+  2,  6,  4489,    2,  7,  3273,    3,  6, 53012,    3,  7,  4762,   //  3, 6 
+  2,  7,  4254,    2,  8,  3126,    3,  7, 53562,    3,  8,  4594,   //  3, 7 
+  3,  8, 53557,    3,  9,  4592,    4,  8,  4259,    4,  9,  3128,   //  3, 8 
+  3,  9, 53008,    3, 10,  4759,    4,  9,  4495,    4, 10,  3274,   //  3, 9 
+  3, 10, 52066,    3, 11,  5069,    4, 10,  4879,    4, 11,  3522,   //  3,10 
+  3, 11, 50843,    3, 12,  5474,    4, 11,  5373,    4, 12,  3846,   //  3,11 
+  3, 12, 49445,    3, 13,  5934,    4, 12,  5943,    4, 13,  4214,   //  3,12 
+  3, 13, 47955,    3, 14,  6414,    4, 13,  6560,    4, 14,  4607,   //  3,13 
+  3, 14, 46430,    3, 15,  6892,    4, 14,  7204,    4, 15,  5010,   //  3,14 
+  3, 15, 44907,    3, 16,  7356,    4, 15,  7863,    4, 16,  5410,   //  3,15 
+  3,  0,  7587,    3,  1,  5172,    4,  0, 45791,    4,  1,  6986,   //  4, 0 
+  3,  1,  6875,    3,  2,  4736,    4,  1, 47453,    4,  2,  6472,   //  4, 1 
+  3,  2,  6168,    3,  3,  4291,    4,  2, 49147,    4,  3,  5930,   //  4, 2 
+  3,  3,  5474,    3,  4,  3846,    4,  3, 50843,    4,  4,  5373,   //  4, 3 
+  3,  4,  4816,    3,  5,  3415,    4,  4, 52484,    4,  5,  4821,   //  4, 4 
+  3,  5,  4226,    3,  6,  3023,    4,  5, 53975,    4,  6,  4312,   //  4, 5 
+  3,  6,  3755,    3,  7,  2710,    4,  6, 55166,    4,  7,  3905,   //  4, 6 
+  3,  7,  3469,    3,  8,  2524,    4,  7, 55870,    4,  8,  3673,   //  4, 7 
+  4,  8, 55867,    4,  9,  3671,    5,  8,  3473,    5,  9,  2525,   //  4, 8 
+  4,  9, 55164,    4, 10,  3902,    5,  9,  3759,    5, 10,  2711,   //  4, 9 
+  4, 10, 53973,    4, 11,  4309,    5, 10,  4230,    5, 11,  3024,   //  4,10 
+  4, 11, 52484,    4, 12,  4816,    5, 11,  4822,    5, 12,  3414,   //  4,11 
+  4, 12, 50844,    4, 13,  5365,    5, 12,  5481,    5, 13,  3846,   //  4,12 
+  4, 13, 49150,    4, 14,  5920,    5, 13,  6176,    5, 14,  4290,   //  4,13 
+  4, 14, 47458,    4, 15,  6458,    5, 14,  6886,    5, 15,  4734,   //  4,14 
+  4, 15, 45799,    4, 16,  6970,    5, 15,  7599,    5, 16,  5168,   //  4,15 
+  4,  0,  7374,    4,  1,  4971,    5,  0, 46532,    5,  1,  6659,   //  5, 0 
+  4,  1,  6613,    4,  2,  4505,    5,  1, 48314,    5,  2,  6104,   //  5, 1 
+  4,  2,  5842,    4,  3,  4020,    5,  2, 50165,    5,  3,  5509,   //  5, 2 
+  4,  3,  5069,    4,  4,  3523,    5,  3, 52066,    5,  4,  4878,   //  5, 3 
+  4,  4,  4309,    4,  5,  3023,    5,  4, 53973,    5,  5,  4231,   //  5, 4 
+  4,  5,  3595,    4,  6,  2546,    5,  5, 55798,    5,  6,  3597,   //  5, 5 
+  4,  6,  2993,    4,  7,  2138,    5,  6, 57354,    5,  7,  3051,   //  5, 6 
+  4,  7,  2615,    4,  8,  1884,    5,  7, 58324,    5,  8,  2713,   //  5, 7 
+  5,  8, 58322,    5,  9,  2713,    6,  8,  2616,    6,  9,  1885,   //  5, 8 
+  5,  9, 57353,    5, 10,  3050,    6,  9,  2995,    6, 10,  2138,   //  5, 9 
+  5, 10, 55798,    5, 11,  3595,    6, 10,  3598,    6, 11,  2545,   //  5,10 
+  5, 11, 53975,    5, 12,  4226,    6, 11,  4313,    6, 12,  3022,   //  5,11 
+  5, 12, 52069,    5, 13,  4872,    6, 12,  5073,    6, 13,  3522,   //  5,12 
+  5, 13, 50171,    5, 14,  5499,    6, 13,  5848,    6, 14,  4018,   //  5,13 
+  5, 14, 48322,    5, 15,  6092,    6, 14,  6620,    6, 15,  4502,   //  5,14 
+  5, 15, 46541,    5, 16,  6644,    6, 15,  7383,    6, 16,  4968,   //  5,15 
+  5,  0,  7227,    5,  1,  4818,    6,  0, 47086,    6,  1,  6405,   //  6, 0 
+  5,  1,  6425,    5,  2,  4330,    6,  1, 48960,    6,  2,  5821,   //  6, 1 
+  5,  2,  5602,    5,  3,  3815,    6,  2, 50935,    6,  3,  5184,   //  6, 2 
+  5,  3,  4759,    5,  4,  3274,    6,  3, 53008,    6,  4,  4495,   //  6, 3 
+  5,  4,  3902,    5,  5,  2711,    6,  4, 55164,    6,  5,  3759,   //  6, 4 
+  5,  5,  3050,    5,  6,  2138,    6,  5, 57353,    6,  6,  2995,   //  6, 5 
+  5,  6,  2258,    5,  7,  1597,    6,  6, 59422,    6,  7,  2259,   //  6, 6 
+  5,  7,  1695,    5,  8,  1209,    6,  7, 60906,    6,  8,  1726,   //  6, 7 
+  6,  8, 60905,    6,  9,  1726,    7,  8,  1695,    7,  9,  1210,   //  6, 8 
+  6,  9, 59422,    6, 10,  2258,    7,  9,  2259,    7, 10,  1597,   //  6, 9 
+  6, 10, 57354,    6, 11,  2993,    7, 10,  3051,    7, 11,  2138,   //  6,10 
+  6, 11, 55166,    6, 12,  3755,    7, 11,  3904,    7, 12,  2711,   //  6,11 
+  6, 12, 53012,    6, 13,  4489,    7, 12,  4762,    7, 13,  3273,   //  6,12 
+  6, 13, 50942,    6, 14,  5175,    7, 13,  5606,    7, 14,  3813,   //  6,13 
+  6, 14, 48969,    6, 15,  5809,    7, 14,  6430,    7, 15,  4328,   //  6,14 
+  6, 15, 47098,    6, 16,  6391,    7, 15,  7233,    7, 16,  4814,   //  6,15 
+  6,  0,  7158,    6,  1,  4722,    7,  0, 47426,    7,  1,  6230,   //  7, 0 
+  6,  1,  6332,    6,  2,  4224,    7,  1, 49347,    7,  2,  5633,   //  7, 1 
+  6,  2,  5478,    6,  3,  3693,    7,  2, 51387,    7,  3,  4978,   //  7, 2 
+  6,  3,  4592,    6,  4,  3128,    7,  3, 53557,    7,  4,  4259,   //  7, 3 
+  6,  4,  3671,    6,  5,  2525,    7,  4, 55867,    7,  5,  3473,   //  7, 4 
+  6,  5,  2713,    6,  6,  1884,    7,  5, 58322,    7,  6,  2617,   //  7, 5 
+  6,  6,  1726,    6,  7,  1210,    7,  6, 60905,    7,  7,  1695,   //  7, 6 
+  6,  7,   789,    6,  8,   558,    7,  7, 63399,    7,  8,   790,   //  7, 7 
+  7,  8, 63399,    7,  9,   789,    8,  8,   789,    8,  9,   559,   //  7, 8 
+  7,  9, 60906,    7, 10,  1695,    8,  9,  1726,    8, 10,  1209,   //  7, 9 
+  7, 10, 58324,    7, 11,  2615,    8, 10,  2714,    8, 11,  1883,   //  7,10 
+  7, 11, 55870,    7, 12,  3469,    8, 11,  3672,    8, 12,  2525,   //  7,11 
+  7, 12, 53562,    7, 13,  4254,    8, 12,  4594,    8, 13,  3126,   //  7,12 
+  7, 13, 51395,    7, 14,  4970,    8, 13,  5480,    8, 14,  3691,   //  7,13 
+  7, 14, 49358,    7, 15,  5623,    8, 14,  6335,    8, 15,  4220,   //  7,14 
+  7, 15, 47440,    7, 16,  6217,    8, 15,  7161,    8, 16,  4718,   //  7,15 
+  7, -1,  4718,    7,  0,  7161,    8, -1,  6217,    8,  0, 47440,   //  8, 0 
+  7,  0,  4221,    7,  1,  6335,    8,  0,  5623,    8,  1, 49357,   //  8, 1 
+  7,  1,  3691,    7,  2,  5480,    8,  1,  4970,    8,  2, 51395,   //  8, 2 
+  7,  2,  3126,    7,  3,  4594,    8,  2,  4254,    8,  3, 53562,   //  8, 3 
+  7,  3,  2524,    7,  4,  3672,    8,  3,  3469,    8,  4, 55871,   //  8, 4 
+  7,  4,  1884,    7,  5,  2714,    8,  4,  2615,    8,  5, 58323,   //  8, 5 
+  7,  5,  1209,    7,  6,  1726,    8,  5,  1695,    8,  6, 60906,   //  8, 6 
+  7,  6,   558,    7,  7,   789,    8,  6,   789,    8,  7, 63400,   //  8, 7 
+  8,  7,   789,    8,  8, 63399,    9,  7,   558,    9,  8,   790,   //  8, 8 
+  8,  8,  1695,    8,  9, 60905,    9,  8,  1210,    9,  9,  1726,   //  8, 9 
+  8,  9,  2616,    8, 10, 58322,    9,  9,  1884,    9, 10,  2714,   //  8,10 
+  8, 10,  3473,    8, 11, 55867,    9, 10,  2525,    9, 11,  3671,   //  8,11 
+  8, 11,  4259,    8, 12, 53557,    9, 11,  3128,    9, 12,  4592,   //  8,12 
+  8, 12,  4978,    8, 13, 51387,    9, 12,  3693,    9, 13,  5478,   //  8,13 
+  8, 13,  5633,    8, 14, 49347,    9, 13,  4224,    9, 14,  6332,   //  8,14 
+  8, 14,  6230,    8, 15, 47426,    9, 14,  4722,    9, 15,  7158,   //  8,15 
+  8, -1,  4814,    8,  0,  7233,    9, -1,  6391,    9,  0, 47098,   //  9, 0 
+  8,  0,  4327,    8,  1,  6430,    9,  0,  5809,    9,  1, 48970,   //  9, 1 
+  8,  1,  3813,    8,  2,  5606,    9,  1,  5175,    9,  2, 50942,   //  9, 2 
+  8,  2,  3273,    8,  3,  4762,    9,  2,  4489,    9,  3, 53012,   //  9, 3 
+  8,  3,  2710,    8,  4,  3904,    9,  3,  3755,    9,  4, 55167,   //  9, 4 
+  8,  4,  2138,    8,  5,  3051,    9,  4,  2993,    9,  5, 57354,   //  9, 5 
+  8,  5,  1597,    8,  6,  2259,    9,  5,  2258,    9,  6, 59422,   //  9, 6 
+  8,  6,  1210,    8,  7,  1695,    9,  6,  1726,    9,  7, 60905,   //  9, 7 
+  9,  7,  1726,    9,  8, 60906,   10,  7,  1209,   10,  8,  1695,   //  9, 8 
+  9,  8,  2259,    9,  9, 59422,   10,  8,  1597,   10,  9,  2258,   //  9, 9 
+  9,  9,  2995,    9, 10, 57353,   10,  9,  2138,   10, 10,  3050,   //  9,10 
+  9, 10,  3759,    9, 11, 55164,   10, 10,  2711,   10, 11,  3902,   //  9,11 
+  9, 11,  4495,    9, 12, 53008,   10, 11,  3274,   10, 12,  4759,   //  9,12 
+  9, 12,  5184,    9, 13, 50935,   10, 12,  3815,   10, 13,  5602,   //  9,13 
+  9, 13,  5820,    9, 14, 48960,   10, 13,  4330,   10, 14,  6426,   //  9,14 
+  9, 14,  6405,    9, 15, 47086,   10, 14,  4818,   10, 15,  7227,   //  9,15 
+  9, -1,  4967,    9,  0,  7383,   10, -1,  6644,   10,  0, 46542,   // 10, 0 
+  9,  0,  4502,    9,  1,  6620,   10,  0,  6092,   10,  1, 48322,   // 10, 1 
+  9,  1,  4019,    9,  2,  5848,   10,  1,  5499,   10,  2, 50170,   // 10, 2 
+  9,  2,  3522,    9,  3,  5073,   10,  2,  4872,   10,  3, 52069,   // 10, 3 
+  9,  3,  3023,    9,  4,  4313,   10,  3,  4226,   10,  4, 53974,   // 10, 4 
+  9,  4,  2546,    9,  5,  3598,   10,  4,  3595,   10,  5, 55797,   // 10, 5 
+  9,  5,  2138,    9,  6,  2995,   10,  5,  3050,   10,  6, 57353,   // 10, 6 
+  9,  6,  1884,    9,  7,  2616,   10,  6,  2713,   10,  7, 58323,   // 10, 7 
+ 10,  7,  2714,   10,  8, 58324,   11,  7,  1884,   11,  8,  2614,   // 10, 8 
+ 10,  8,  3051,   10,  9, 57354,   11,  8,  2138,   11,  9,  2993,   // 10, 9 
+ 10,  9,  3598,   10, 10, 55798,   11,  9,  2546,   11, 10,  3594,   // 10,10 
+ 10, 10,  4230,   10, 11, 53973,   11, 10,  3023,   11, 11,  4310,   // 10,11 
+ 10, 11,  4879,   10, 12, 52066,   11, 11,  3523,   11, 12,  5068,   // 10,12 
+ 10, 12,  5508,   10, 13, 50165,   11, 12,  4020,   11, 13,  5843,   // 10,13 
+ 10, 13,  6104,   10, 14, 48314,   11, 13,  4505,   11, 14,  6613,   // 10,14 
+ 10, 14,  6659,   10, 15, 46532,   11, 14,  4971,   11, 15,  7374,   // 10,15 
+ 10, -1,  5169,   10,  0,  7599,   11, -1,  6970,   11,  0, 45798,   // 11, 0 
+ 10,  0,  4734,   10,  1,  6886,   11,  0,  6458,   11,  1, 47458,   // 11, 1 
+ 10,  1,  4290,   10,  2,  6176,   11,  1,  5920,   11,  2, 49150,   // 11, 2 
+ 10,  2,  3845,   10,  3,  5481,   11,  2,  5365,   11,  3, 50845,   // 11, 3 
+ 10,  3,  3415,   10,  4,  4822,   11,  3,  4816,   11,  4, 52483,   // 11, 4 
+ 10,  4,  3023,   10,  5,  4230,   11,  4,  4309,   11,  5, 53974,   // 11, 5 
+ 10,  5,  2711,   10,  6,  3759,   11,  5,  3902,   11,  6, 55164,   // 11, 6 
+ 10,  6,  2525,   10,  7,  3473,   11,  6,  3671,   11,  7, 55867,   // 11, 7 
+ 11,  7,  3672,   11,  8, 55870,   12,  7,  2524,   12,  8,  3470,   // 11, 8 
+ 11,  8,  3904,   11,  9, 55166,   12,  8,  2710,   12,  9,  3756,   // 11, 9 
+ 11,  9,  4313,   11, 10, 53975,   12,  9,  3023,   12, 10,  4225,   // 11,10 
+ 11, 10,  4822,   11, 11, 52484,   12, 10,  3415,   12, 11,  4815,   // 11,11 
+ 11, 11,  5373,   11, 12, 50843,   12, 11,  3846,   12, 12,  5474,   // 11,12 
+ 11, 12,  5930,   11, 13, 49147,   12, 12,  4291,   12, 13,  6168,   // 11,13 
+ 11, 13,  6472,   11, 14, 47453,   12, 13,  4736,   12, 14,  6875,   // 11,14 
+ 11, 14,  6986,   11, 15, 45791,   12, 14,  5172,   12, 15,  7587,   // 11,15 
+ 11, -1,  5410,   11,  0,  7863,   12, -1,  7356,   12,  0, 44907,   // 12, 0 
+ 11,  0,  5009,   11,  1,  7204,   12,  0,  6892,   12,  1, 46431,   // 12, 1 
+ 11,  1,  4607,   11,  2,  6560,   12,  1,  6414,   12,  2, 47955,   // 12, 2 
+ 11,  2,  4214,   11,  3,  5943,   12,  2,  5934,   12,  3, 49445,   // 12, 3 
+ 11,  3,  3846,   11,  4,  5373,   12,  3,  5474,   12,  4, 50843,   // 12, 4 
+ 11,  4,  3523,   11,  5,  4879,   12,  4,  5069,   12,  5, 52065,   // 12, 5 
+ 11,  5,  3274,   11,  6,  4495,   12,  5,  4759,   12,  6, 53008,   // 12, 6 
+ 11,  6,  3128,   11,  7,  4259,   12,  6,  4592,   12,  7, 53557,   // 12, 7 
+ 12,  7,  4594,   12,  8, 53562,   13,  7,  3126,   13,  8,  4254,   // 12, 8 
+ 12,  8,  4762,   12,  9, 53012,   13,  8,  3273,   13,  9,  4489,   // 12, 9 
+ 12,  9,  5073,   12, 10, 52069,   13,  9,  3522,   13, 10,  4872,   // 12,10 
+ 12, 10,  5481,   12, 11, 50844,   13, 10,  3845,   13, 11,  5366,   // 12,11 
+ 12, 11,  5943,   12, 12, 49445,   13, 11,  4214,   13, 12,  5934,   // 12,12 
+ 12, 12,  6426,   12, 13, 47953,   13, 12,  4608,   13, 13,  6549,   // 12,13 
+ 12, 13,  6908,   12, 14, 46427,   13, 13,  5011,   13, 14,  7190,   // 12,14 
+ 12, 14,  7374,   12, 15, 44901,   13, 14,  5413,   13, 15,  7848,   // 12,15 
+ 12, -1,  5682,   12,  0,  8159,   13, -1,  7791,   13,  0, 43904,   // 13, 0 
+ 12,  0,  5315,   12,  1,  7555,   13,  0,  7378,   13,  1, 45288,   // 13, 1 
+ 12,  1,  4954,   12,  2,  6973,   13,  1,  6959,   13,  2, 46650,   // 13, 2 
+ 12,  2,  4608,   12,  3,  6426,   13,  2,  6549,   13,  3, 47953,   // 13, 3 
+ 12,  3,  4291,   12,  4,  5930,   13,  3,  6168,   13,  4, 49147,   // 13, 4 
+ 12,  4,  4020,   12,  5,  5508,   13,  4,  5842,   13,  5, 50166,   // 13, 5 
+ 12,  5,  3815,   12,  6,  5184,   13,  5,  5602,   13,  6, 50935,   // 13, 6 
+ 12,  6,  3693,   12,  7,  4978,   13,  6,  5478,   13,  7, 51387,   // 13, 7 
+ 13,  7,  5480,   13,  8, 51395,   14,  7,  3691,   14,  8,  4970,   // 13, 8 
+ 13,  8,  5606,   13,  9, 50942,   14,  8,  3813,   14,  9,  5175,   // 13, 9 
+ 13,  9,  5848,   13, 10, 50171,   14,  9,  4019,   14, 10,  5498,   // 13,10 
+ 13, 10,  6176,   13, 11, 49150,   14, 10,  4290,   14, 11,  5920,   // 13,11 
+ 13, 11,  6560,   13, 12, 47955,   14, 11,  4607,   14, 12,  6414,   // 13,12 
+ 13, 12,  6973,   13, 13, 46650,   14, 12,  4954,   14, 13,  6959,   // 13,13 
+ 13, 13,  7395,   13, 14, 45286,   14, 13,  5316,   14, 14,  7539,   // 13,14 
+ 13, 14,  7812,   13, 15, 43900,   14, 14,  5684,   14, 15,  8140,   // 13,15 
+ 13, -1,  5974,   13,  0,  8474,   14, -1,  8265,   14,  0, 42823,   // 14, 0 
+ 13,  0,  5640,   13,  1,  7921,   14,  0,  7901,   14,  1, 44074,   // 14, 1 
+ 13,  1,  5316,   13,  2,  7395,   14,  1,  7539,   14,  2, 45286,   // 14, 2 
+ 13,  2,  5011,   13,  3,  6908,   14,  2,  7191,   14,  3, 46426,   // 14, 3 
+ 13,  3,  4736,   13,  4,  6472,   14,  3,  6875,   14,  4, 47453,   // 14, 4 
+ 13,  4,  4505,   13,  5,  6104,   14,  4,  6613,   14,  5, 48314,   // 14, 5 
+ 13,  5,  4330,   13,  6,  5820,   14,  5,  6425,   14,  6, 48961,   // 14, 6 
+ 13,  6,  4224,   13,  7,  5633,   14,  6,  6332,   14,  7, 49347,   // 14, 7 
+ 14,  7,  6335,   14,  8, 49358,   15,  7,  4221,   15,  8,  5622,   // 14, 8 
+ 14,  8,  6430,   14,  9, 48969,   15,  8,  4327,   15,  9,  5810,   // 14, 9 
+ 14,  9,  6620,   14, 10, 48322,   15,  9,  4502,   15, 10,  6092,   // 14,10 
+ 14, 10,  6886,   14, 11, 47458,   15, 10,  4734,   15, 11,  6458,   // 14,11 
+ 14, 11,  7204,   14, 12, 46430,   15, 11,  5009,   15, 12,  6893,   // 14,12 
+ 14, 12,  7555,   14, 13, 45288,   15, 12,  5315,   15, 13,  7378,   // 14,13 
+ 14, 13,  7921,   14, 14, 44074,   15, 13,  5640,   15, 14,  7901,   // 14,14 
+ 14, 14,  8288,   14, 15, 42821,   15, 14,  5975,   15, 15,  8452,   // 14,15 
+ 14, -1,  6280,   14,  0,  8795,   15, -1,  8769,   15,  0, 41692,   // 15, 0 
+ 14,  0,  5975,   14,  1,  8288,   15,  0,  8452,   15,  1, 42821,   // 15, 1 
+ 14,  1,  5684,   14,  2,  7812,   15,  1,  8141,   15,  2, 43899,   // 15, 2 
+ 14,  2,  5413,   14,  3,  7374,   15,  2,  7848,   15,  3, 44901,   // 15, 3 
+ 14,  3,  5172,   14,  4,  6986,   15,  3,  7587,   15,  4, 45791,   // 15, 4 
+ 14,  4,  4971,   14,  5,  6659,   15,  4,  7374,   15,  5, 46532,   // 15, 5 
+ 14,  5,  4818,   14,  6,  6405,   15,  5,  7227,   15,  6, 47086,   // 15, 6 
+ 14,  6,  4722,   14,  7,  6230,   15,  6,  7158,   15,  7, 47426,   // 15, 7 
+ 15,  7,  7161,   15,  8, 47440,   16,  7,  4718,   16,  8,  6217,   // 15, 8 
+ 15,  8,  7233,   15,  9, 47098,   16,  8,  4814,   16,  9,  6391,   // 15, 9 
+ 15,  9,  7383,   15, 10, 46541,   16,  9,  4967,   16, 10,  6645,   // 15,10 
+ 15, 10,  7599,   15, 11, 45799,   16, 10,  5169,   16, 11,  6969,   // 15,11 
+ 15, 11,  7863,   15, 12, 44907,   16, 11,  5410,   16, 12,  7356,   // 15,12 
+ 15, 12,  8159,   15, 13, 43904,   16, 12,  5682,   16, 13,  7791,   // 15,13 
+ 15, 13,  8474,   15, 14, 42823,   16, 13,  5974,   16, 14,  8265,   // 15,14 
+ 15, 14,  8795,   15, 15, 41693,   16, 14,  6280,   16, 15,  8768,   // 15,15 
+ // angle of -0.5 degrees
+ -1,  0,  5106,   -1,  1,  3621,    0,  0, 51699,    0,  1,  5110,   //  0, 0 
+ -1,  1,  4803,   -1,  2,  3421,    0,  1, 52457,    0,  2,  4855,   //  0, 1 
+ -1,  2,  4521,   -1,  3,  3235,    0,  2, 53168,    0,  3,  4612,   //  0, 2 
+ -1,  3,  4264,   -1,  4,  3064,    0,  3, 53815,    0,  4,  4393,   //  0, 3 
+ -1,  4,  4041,   -1,  5,  2916,    0,  4, 54378,    0,  5,  4201,   //  0, 4 
+ -1,  5,  3858,   -1,  6,  2796,    0,  5, 54835,    0,  6,  4047,   //  0, 5 
+ -1,  6,  3722,   -1,  7,  2709,    0,  6, 55166,    0,  7,  3939,   //  0, 6 
+ -1,  7,  3638,   -1,  8,  2659,    0,  7, 55354,    0,  8,  3885,   //  0, 7 
+  0,  8, 55352,    0,  9,  3885,    1,  8,  3640,    1,  9,  2659,   //  0, 8 
+  0,  9, 55164,    0, 10,  3939,    1,  9,  3724,    1, 10,  2709,   //  0, 9 
+  0, 10, 54833,    0, 11,  4046,    1, 10,  3860,    1, 11,  2797,   //  0,10 
+  0, 11, 54376,    0, 12,  4200,    1, 11,  4043,    1, 12,  2917,   //  0,11 
+  0, 12, 53814,    0, 13,  4390,    1, 12,  4267,    1, 13,  3065,   //  0,12 
+  0, 13, 53168,    0, 14,  4610,    1, 13,  4523,    1, 14,  3235,   //  0,13 
+  0, 14, 52457,    0, 15,  4851,    1, 14,  4806,    1, 15,  3422,   //  0,14 
+  0, 15, 51699,    0, 16,  5106,    1, 15,  5110,    1, 16,  3621,   //  0,15 
+  0,  0,  4851,    0,  1,  3422,    1,  0, 52457,    1,  1,  4806,   //  1, 0 
+  0,  1,  4522,    0,  2,  3204,    1,  1, 53285,    1,  2,  4525,   //  1, 1 
+  0,  2,  4212,    0,  3,  2998,    1,  2, 54072,    1,  3,  4254,   //  1, 2 
+  0,  3,  3927,    0,  4,  2808,    1,  3, 54796,    1,  4,  4005,   //  1, 3 
+  0,  4,  3677,    0,  5,  2640,    1,  4, 55435,    1,  5,  3784,   //  1, 4 
+  0,  5,  3470,    0,  6,  2502,    1,  5, 55959,    1,  6,  3605,   //  1, 5 
+  0,  6,  3317,    0,  7,  2402,    1,  6, 56340,    1,  7,  3477,   //  1, 6 
+  0,  7,  3225,    0,  8,  2346,    1,  7, 56554,    1,  8,  3411,   //  1, 7 
+  1,  8, 56552,    1,  9,  3411,    2,  8,  3227,    2,  9,  2346,   //  1, 8 
+  1,  9, 56339,    1, 10,  3476,    2,  9,  3319,    2, 10,  2402,   //  1, 9 
+  1, 10, 55958,    1, 11,  3604,    2, 10,  3472,    2, 11,  2502,   //  1,10 
+  1, 11, 55434,    1, 12,  3783,    2, 11,  3678,    2, 12,  2641,   //  1,11 
+  1, 12, 54796,    1, 13,  4003,    2, 12,  3929,    2, 13,  2808,   //  1,12 
+  1, 13, 54071,    1, 14,  4253,    2, 13,  4214,    2, 14,  2998,   //  1,13 
+  1, 14, 53285,    1, 15,  4522,    2, 14,  4525,    2, 15,  3204,   //  1,14 
+  1, 15, 52457,    1, 16,  4803,    2, 15,  4854,    2, 16,  3422,   //  1,15 
+  1,  0,  4610,    1,  1,  3235,    2,  0, 53168,    2,  1,  4523,   //  2, 0 
+  1,  1,  4253,    1,  2,  2998,    2,  1, 54071,    2,  2,  4214,   //  2, 1 
+  1,  2,  3911,    1,  3,  2770,    2,  2, 54941,    2,  3,  3914,   //  2, 2 
+  1,  3,  3594,    1,  4,  2556,    2,  3, 55756,    2,  4,  3630,   //  2, 3 
+  1,  4,  3310,    1,  5,  2365,    2,  4, 56487,    2,  5,  3374,   //  2, 4 
+  1,  5,  3073,    1,  6,  2205,    2,  5, 57096,    2,  6,  3162,   //  2, 5 
+  1,  6,  2897,    1,  7,  2088,    2,  6, 57545,    2,  7,  3006,   //  2, 6 
+  1,  7,  2794,    1,  8,  2022,    2,  7, 57795,    2,  8,  2925,   //  2, 7 
+  2,  8, 57793,    2,  9,  2926,    3,  8,  2795,    3,  9,  2022,   //  2, 8 
+  2,  9, 57544,    2, 10,  3007,    3,  9,  2898,    3, 10,  2087,   //  2, 9 
+  2, 10, 57095,    2, 11,  3161,    3, 10,  3074,    3, 11,  2206,   //  2,10 
+  2, 11, 56486,    2, 12,  3373,    3, 11,  3311,    3, 12,  2366,   //  2,11 
+  2, 12, 55756,    2, 13,  3628,    3, 12,  3595,    3, 13,  2557,   //  2,12 
+  2, 13, 54941,    2, 14,  3911,    3, 13,  3913,    3, 14,  2771,   //  2,13 
+  2, 14, 54072,    2, 15,  4212,    3, 14,  4255,    3, 15,  2997,   //  2,14 
+  2, 15, 53168,    2, 16,  4521,    3, 15,  4612,    3, 16,  3235,   //  2,15 
+  2,  0,  4390,    2,  1,  3065,    3,  0, 53814,    3,  1,  4267,   //  3, 0 
+  2,  1,  4003,    2,  2,  2808,    3,  1, 54796,    3,  2,  3929,   //  3, 1 
+  2,  2,  3628,    2,  3,  2557,    3,  2, 55756,    3,  3,  3595,   //  3, 2 
+  2,  3,  3273,    2,  4,  2317,    3,  3, 56673,    3,  4,  3273,   //  3, 3 
+  2,  4,  2948,    2,  5,  2096,    3,  4, 57514,    3,  5,  2978,   //  3, 4 
+  2,  5,  2672,    2,  6,  1908,    3,  5, 58234,    3,  6,  2722,   //  3, 5 
+  2,  6,  2463,    2,  7,  1766,    3,  6, 58775,    3,  7,  2532,   //  3, 6 
+  2,  7,  2342,    2,  8,  1687,    3,  7, 59077,    3,  8,  2430,   //  3, 7 
+  3,  8, 59076,    3,  9,  2430,    4,  8,  2343,    4,  9,  1687,   //  3, 8 
+  3,  9, 58774,    3, 10,  2532,    4,  9,  2464,    4, 10,  1766,   //  3, 9 
+  3, 10, 58233,    3, 11,  2722,    4, 10,  2673,    4, 11,  1908,   //  3,10 
+  3, 11, 57514,    3, 12,  2976,    4, 11,  2950,    4, 12,  2096,   //  3,11 
+  3, 12, 56673,    3, 13,  3273,    4, 12,  3274,    4, 13,  2316,   //  3,12 
+  3, 13, 55756,    3, 14,  3594,    4, 13,  3630,    4, 14,  2556,   //  3,13 
+  3, 14, 54796,    3, 15,  3927,    4, 14,  4005,    4, 15,  2808,   //  3,14 
+  3, 15, 53815,    3, 16,  4264,    4, 15,  4392,    4, 16,  3065,   //  3,15 
+  3,  0,  4200,    3,  1,  2917,    4,  0, 54376,    4,  1,  4043,   //  4, 0 
+  3,  1,  3783,    3,  2,  2640,    4,  1, 55434,    4,  2,  3679,   //  4, 1 
+  3,  2,  3373,    3,  3,  2365,    4,  2, 56486,    4,  3,  3312,   //  4, 2 
+  3,  3,  2976,    3,  4,  2096,    4,  3, 57514,    4,  4,  2950,   //  4, 3 
+  3,  4,  2604,    3,  5,  1843,    4,  4, 58484,    4,  5,  2605,   //  4, 4 
+  3,  5,  2276,    3,  6,  1617,    4,  5, 59346,    4,  6,  2297,   //  4, 5 
+  3,  6,  2020,    3,  7,  1442,    4,  6, 60018,    4,  7,  2056,   //  4, 6 
+  3,  7,  1871,    3,  8,  1341,    4,  7, 60402,    4,  8,  1922,   //  4, 7 
+  4,  8, 60402,    4,  9,  1922,    5,  8,  1871,    5,  9,  1341,   //  4, 8 
+  4,  9, 60017,    4, 10,  2057,    5,  9,  2020,    5, 10,  1442,   //  4, 9 
+  4, 10, 59345,    4, 11,  2297,    5, 10,  2276,    5, 11,  1618,   //  4,10 
+  4, 11, 58484,    4, 12,  2604,    5, 11,  2605,    5, 12,  1843,   //  4,11 
+  4, 12, 57514,    4, 13,  2948,    5, 12,  2977,    5, 13,  2097,   //  4,12 
+  4, 13, 56487,    4, 14,  3310,    5, 13,  3374,    5, 14,  2365,   //  4,13 
+  4, 14, 55435,    4, 15,  3677,    5, 14,  3785,    5, 15,  2639,   //  4,14 
+  4, 15, 54378,    4, 16,  4041,    5, 15,  4201,    5, 16,  2916,   //  4,15 
+  4,  0,  4046,    4,  1,  2797,    5,  0, 54833,    5,  1,  3860,   //  5, 0 
+  4,  1,  3604,    4,  2,  2503,    5,  1, 55958,    5,  2,  3471,   //  5, 1 
+  4,  2,  3161,    4,  3,  2205,    5,  2, 57095,    5,  3,  3075,   //  5, 2 
+  4,  3,  2722,    4,  4,  1908,    5,  3, 58233,    5,  4,  2673,   //  5, 3 
+  4,  4,  2297,    4,  5,  1617,    5,  4, 59345,    5,  5,  2277,   //  5, 4 
+  4,  5,  1904,    4,  6,  1347,    5,  5, 60381,    5,  6,  1904,   //  5, 5 
+  4,  6,  1578,    4,  7,  1121,    5,  6, 61243,    5,  7,  1594,   //  5, 6 
+  4,  7,  1380,    4,  8,   985,    5,  7, 61767,    5,  8,  1404,   //  5, 7 
+  5,  8, 61767,    5,  9,  1405,    6,  8,  1380,    6,  9,   984,   //  5, 8 
+  5,  9, 61243,    5, 10,  1593,    6,  9,  1579,    6, 10,  1121,   //  5, 9 
+  5, 10, 60381,    5, 11,  1904,    6, 10,  1904,    6, 11,  1347,   //  5,10 
+  5, 11, 59346,    5, 12,  2276,    6, 11,  2297,    6, 12,  1617,   //  5,11 
+  5, 12, 58234,    5, 13,  2672,    6, 12,  2723,    6, 13,  1907,   //  5,12 
+  5, 13, 57096,    5, 14,  3073,    6, 13,  3161,    6, 14,  2206,   //  5,13 
+  5, 14, 55959,    5, 15,  3470,    6, 14,  3605,    6, 15,  2502,   //  5,14 
+  5, 15, 54835,    5, 16,  3858,    6, 15,  4047,    6, 16,  2796,   //  5,15 
+  5,  0,  3939,    5,  1,  2709,    6,  0, 55164,    6,  1,  3724,   //  6, 0 
+  5,  1,  3476,    5,  2,  2403,    6,  1, 56339,    6,  2,  3318,   //  6, 1 
+  5,  2,  3007,    5,  3,  2088,    6,  2, 57544,    6,  3,  2897,   //  6, 2 
+  5,  3,  2532,    5,  4,  1767,    6,  3, 58774,    6,  4,  2463,   //  6, 3 
+  5,  4,  2057,    5,  5,  1442,    6,  4, 60017,    6,  5,  2020,   //  6, 4 
+  5,  5,  1593,    5,  6,  1121,    6,  5, 61243,    6,  6,  1579,   //  6, 5 
+  5,  6,  1170,    5,  7,   827,    6,  6, 62369,    6,  7,  1170,   //  6, 6 
+  5,  7,   875,    5,  8,   622,    6,  7, 63156,    6,  8,   883,   //  6, 7 
+  6,  8, 63156,    6,  9,   883,    7,  8,   875,    7,  9,   622,   //  6, 8 
+  6,  9, 62369,    6, 10,  1170,    7,  9,  1170,    7, 10,   827,   //  6, 9 
+  6, 10, 61243,    6, 11,  1578,    7, 10,  1593,    7, 11,  1122,   //  6,10 
+  6, 11, 60018,    6, 12,  2020,    7, 11,  2057,    7, 12,  1441,   //  6,11 
+  6, 12, 58775,    6, 13,  2463,    7, 12,  2532,    7, 13,  1766,   //  6,12 
+  6, 13, 57545,    6, 14,  2897,    7, 13,  3007,    7, 14,  2087,   //  6,13 
+  6, 14, 56340,    6, 15,  3317,    7, 14,  3477,    7, 15,  2402,   //  6,14 
+  6, 15, 55166,    6, 16,  3722,    7, 15,  3940,    7, 16,  2708,   //  6,15 
+  6,  0,  3885,    6,  1,  2659,    7,  0, 55352,    7,  1,  3640,   //  7, 0 
+  6,  1,  3411,    6,  2,  2346,    7,  1, 56552,    7,  2,  3227,   //  7, 1 
+  6,  2,  2926,    6,  3,  2022,    7,  2, 57793,    7,  3,  2795,   //  7, 2 
+  6,  3,  2430,    6,  4,  1687,    7,  3, 59076,    7,  4,  2343,   //  7, 3 
+  6,  4,  1922,    6,  5,  1341,    7,  4, 60402,    7,  5,  1871,   //  7, 4 
+  6,  5,  1405,    6,  6,   985,    7,  5, 61767,    7,  6,  1379,   //  7, 5 
+  6,  6,   883,    6,  7,   622,    7,  6, 63156,    7,  7,   875,   //  7, 6 
+  6,  7,   399,    6,  8,   282,    7,  7, 64455,    7,  8,   400,   //  7, 7 
+  7,  8, 64455,    7,  9,   399,    8,  8,   399,    8,  9,   283,   //  7, 8 
+  7,  9, 63156,    7, 10,   875,    8,  9,   883,    8, 10,   622,   //  7, 9 
+  7, 10, 61767,    7, 11,  1380,    8, 10,  1405,    8, 11,   984,   //  7,10 
+  7, 11, 60402,    7, 12,  1871,    8, 11,  1922,    8, 12,  1341,   //  7,11 
+  7, 12, 59077,    7, 13,  2342,    8, 12,  2430,    8, 13,  1687,   //  7,12 
+  7, 13, 57795,    7, 14,  2794,    8, 13,  2926,    8, 14,  2021,   //  7,13 
+  7, 14, 56554,    7, 15,  3225,    8, 14,  3411,    8, 15,  2346,   //  7,14 
+  7, 15, 55354,    7, 16,  3638,    8, 15,  3885,    8, 16,  2659,   //  7,15 
+  7, -1,  2659,    7,  0,  3885,    8, -1,  3638,    8,  0, 55354,   //  8, 0 
+  7,  0,  2346,    7,  1,  3411,    8,  0,  3225,    8,  1, 56554,   //  8, 1 
+  7,  1,  2022,    7,  2,  2926,    8,  1,  2794,    8,  2, 57794,   //  8, 2 
+  7,  2,  1687,    7,  3,  2430,    8,  2,  2342,    8,  3, 59077,   //  8, 3 
+  7,  3,  1341,    7,  4,  1922,    8,  3,  1871,    8,  4, 60402,   //  8, 4 
+  7,  4,   985,    7,  5,  1405,    8,  4,  1380,    8,  5, 61766,   //  8, 5 
+  7,  5,   622,    7,  6,   883,    8,  5,   875,    8,  6, 63156,   //  8, 6 
+  7,  6,   282,    7,  7,   399,    8,  6,   399,    8,  7, 64456,   //  8, 7 
+  8,  7,   399,    8,  8, 64455,    9,  7,   282,    9,  8,   400,   //  8, 8 
+  8,  8,   875,    8,  9, 63156,    9,  8,   622,    9,  9,   883,   //  8, 9 
+  8,  9,  1380,    8, 10, 61767,    9,  9,   985,    9, 10,  1404,   //  8,10 
+  8, 10,  1871,    8, 11, 60402,    9, 10,  1341,    9, 11,  1922,   //  8,11 
+  8, 11,  2343,    8, 12, 59076,    9, 11,  1687,    9, 12,  2430,   //  8,12 
+  8, 12,  2795,    8, 13, 57793,    9, 12,  2022,    9, 13,  2926,   //  8,13 
+  8, 13,  3227,    8, 14, 56552,    9, 13,  2346,    9, 14,  3411,   //  8,14 
+  8, 14,  3640,    8, 15, 55352,    9, 14,  2659,    9, 15,  3885,   //  8,15 
+  8, -1,  2709,    8,  0,  3940,    9, -1,  3722,    9,  0, 55165,   //  9, 0 
+  8,  0,  2402,    8,  1,  3477,    9,  0,  3317,    9,  1, 56340,   //  9, 1 
+  8,  1,  2088,    8,  2,  3007,    9,  1,  2897,    9,  2, 57544,   //  9, 2 
+  8,  2,  1766,    8,  3,  2532,    9,  2,  2463,    9,  3, 58775,   //  9, 3 
+  8,  3,  1442,    8,  4,  2057,    9,  3,  2020,    9,  4, 60017,   //  9, 4 
+  8,  4,  1121,    8,  5,  1593,    9,  4,  1578,    9,  5, 61244,   //  9, 5 
+  8,  5,   827,    8,  6,  1170,    9,  5,  1170,    9,  6, 62369,   //  9, 6 
+  8,  6,   622,    8,  7,   875,    9,  6,   883,    9,  7, 63156,   //  9, 7 
+  9,  7,   883,    9,  8, 63156,   10,  7,   622,   10,  8,   875,   //  9, 8 
+  9,  8,  1170,    9,  9, 62369,   10,  8,   827,   10,  9,  1170,   //  9, 9 
+  9,  9,  1579,    9, 10, 61243,   10,  9,  1121,   10, 10,  1593,   //  9,10 
+  9, 10,  2020,    9, 11, 60017,   10, 10,  1442,   10, 11,  2057,   //  9,11 
+  9, 11,  2464,    9, 12, 58774,   10, 11,  1767,   10, 12,  2531,   //  9,12 
+  9, 12,  2898,    9, 13, 57544,   10, 12,  2088,   10, 13,  3006,   //  9,13 
+  9, 13,  3319,    9, 14, 56339,   10, 13,  2403,   10, 14,  3475,   //  9,14 
+  9, 14,  3724,    9, 15, 55164,   10, 14,  2709,   10, 15,  3939,   //  9,15 
+  9, -1,  2796,    9,  0,  4047,   10, -1,  3858,   10,  0, 54835,   // 10, 0 
+  9,  0,  2502,    9,  1,  3605,   10,  0,  3470,   10,  1, 55959,   // 10, 1 
+  9,  1,  2205,    9,  2,  3161,   10,  1,  3073,   10,  2, 57097,   // 10, 2 
+  9,  2,  1908,    9,  3,  2723,   10,  2,  2672,   10,  3, 58233,   // 10, 3 
+  9,  3,  1617,    9,  4,  2297,   10,  3,  2276,   10,  4, 59346,   // 10, 4 
+  9,  4,  1347,    9,  5,  1904,   10,  4,  1904,   10,  5, 60381,   // 10, 5 
+  9,  5,  1121,    9,  6,  1579,   10,  5,  1593,   10,  6, 61243,   // 10, 6 
+  9,  6,   985,    9,  7,  1380,   10,  6,  1405,   10,  7, 61766,   // 10, 7 
+ 10,  7,  1405,   10,  8, 61767,   11,  7,   985,   11,  8,  1379,   // 10, 8 
+ 10,  8,  1593,   10,  9, 61243,   11,  8,  1121,   11,  9,  1579,   // 10, 9 
+ 10,  9,  1904,   10, 10, 60381,   11,  9,  1347,   11, 10,  1904,   // 10,10 
+ 10, 10,  2276,   10, 11, 59345,   11, 10,  1617,   11, 11,  2298,   // 10,11 
+ 10, 11,  2673,   10, 12, 58233,   11, 11,  1908,   11, 12,  2722,   // 10,12 
+ 10, 12,  3074,   10, 13, 57095,   11, 12,  2205,   11, 13,  3162,   // 10,13 
+ 10, 13,  3472,   10, 14, 55958,   11, 13,  2503,   11, 14,  3603,   // 10,14 
+ 10, 14,  3860,   10, 15, 54833,   11, 14,  2797,   11, 15,  4046,   // 10,15 
+ 10, -1,  2916,   10,  0,  4201,   11, -1,  4041,   11,  0, 54378,   // 11, 0 
+ 10,  0,  2640,   10,  1,  3785,   11,  0,  3677,   11,  1, 55434,   // 11, 1 
+ 10,  1,  2365,   10,  2,  3374,   11,  1,  3310,   11,  2, 56487,   // 11, 2 
+ 10,  2,  2096,   10,  3,  2977,   11,  2,  2948,   11,  3, 57515,   // 11, 3 
+ 10,  3,  1843,   10,  4,  2605,   11,  3,  2604,   11,  4, 58484,   // 11, 4 
+ 10,  4,  1617,   10,  5,  2276,   11,  4,  2297,   11,  5, 59346,   // 11, 5 
+ 10,  5,  1442,   10,  6,  2020,   11,  5,  2057,   11,  6, 60017,   // 11, 6 
+ 10,  6,  1341,   10,  7,  1871,   11,  6,  1922,   11,  7, 60402,   // 11, 7 
+ 11,  7,  1922,   11,  8, 60402,   12,  7,  1341,   12,  8,  1871,   // 11, 8 
+ 11,  8,  2057,   11,  9, 60018,   12,  8,  1442,   12,  9,  2019,   // 11, 9 
+ 11,  9,  2297,   11, 10, 59346,   12,  9,  1617,   12, 10,  2276,   // 11,10 
+ 11, 10,  2605,   11, 11, 58484,   12, 10,  1843,   12, 11,  2604,   // 11,11 
+ 11, 11,  2950,   11, 12, 57514,   12, 11,  2096,   12, 12,  2976,   // 11,12 
+ 11, 12,  3311,   11, 13, 56486,   12, 12,  2365,   12, 13,  3374,   // 11,13 
+ 11, 13,  3678,   11, 14, 55434,   12, 13,  2640,   12, 14,  3784,   // 11,14 
+ 11, 14,  4043,   11, 15, 54376,   12, 14,  2917,   12, 15,  4200,   // 11,15 
+ 11, -1,  3064,   11,  0,  4392,   12, -1,  4264,   12,  0, 53816,   // 12, 0 
+ 11,  0,  2808,   11,  1,  4005,   12,  0,  3927,   12,  1, 54796,   // 12, 1 
+ 11,  1,  2556,   11,  2,  3630,   12,  1,  3594,   12,  2, 55756,   // 12, 2 
+ 11,  2,  2317,   11,  3,  3274,   12,  2,  3273,   12,  3, 56672,   // 12, 3 
+ 11,  3,  2096,   11,  4,  2950,   12,  3,  2976,   12,  4, 57514,   // 12, 4 
+ 11,  4,  1908,   11,  5,  2673,   12,  4,  2722,   12,  5, 58233,   // 12, 5 
+ 11,  5,  1767,   11,  6,  2464,   12,  5,  2532,   12,  6, 58773,   // 12, 6 
+ 11,  6,  1687,   11,  7,  2343,   12,  6,  2430,   12,  7, 59076,   // 12, 7 
+ 12,  7,  2430,   12,  8, 59077,   13,  7,  1687,   13,  8,  2342,   // 12, 8 
+ 12,  8,  2532,   12,  9, 58775,   13,  8,  1766,   13,  9,  2463,   // 12, 9 
+ 12,  9,  2723,   12, 10, 58234,   13,  9,  1908,   13, 10,  2671,   // 12,10 
+ 12, 10,  2977,   12, 11, 57514,   13, 10,  2096,   13, 11,  2949,   // 12,11 
+ 12, 11,  3274,   12, 12, 56673,   13, 11,  2317,   13, 12,  3272,   // 12,12 
+ 12, 12,  3595,   12, 13, 55756,   13, 12,  2557,   13, 13,  3628,   // 12,13 
+ 12, 13,  3929,   12, 14, 54796,   13, 13,  2808,   13, 14,  4003,   // 12,14 
+ 12, 14,  4267,   12, 15, 53814,   13, 14,  3065,   13, 15,  4390,   // 12,15 
+ 12, -1,  3235,   12,  0,  4612,   13, -1,  4521,   13,  0, 53168,   // 13, 0 
+ 12,  0,  2998,   12,  1,  4255,   13,  0,  4212,   13,  1, 54071,   // 13, 1 
+ 12,  1,  2770,   12,  2,  3913,   13,  1,  3911,   13,  2, 54942,   // 13, 2 
+ 12,  2,  2557,   12,  3,  3595,   13,  2,  3628,   13,  3, 55756,   // 13, 3 
+ 12,  3,  2365,   12,  4,  3311,   13,  3,  3373,   13,  4, 56487,   // 13, 4 
+ 12,  4,  2205,   12,  5,  3074,   13,  4,  3161,   13,  5, 57096,   // 13, 5 
+ 12,  5,  2088,   12,  6,  2898,   13,  5,  3007,   13,  6, 57543,   // 13, 6 
+ 12,  6,  2022,   12,  7,  2795,   13,  6,  2926,   13,  7, 57793,   // 13, 7 
+ 13,  7,  2926,   13,  8, 57795,   14,  7,  2022,   14,  8,  2793,   // 13, 8 
+ 13,  8,  3007,   13,  9, 57545,   14,  8,  2088,   14,  9,  2896,   // 13, 9 
+ 13,  9,  3161,   13, 10, 57096,   14,  9,  2205,   14, 10,  3074,   // 13,10 
+ 13, 10,  3374,   13, 11, 56487,   14, 10,  2365,   14, 11,  3310,   // 13,11 
+ 13, 11,  3630,   13, 12, 55756,   14, 11,  2556,   14, 12,  3594,   // 13,12 
+ 13, 12,  3913,   13, 13, 54941,   14, 12,  2770,   14, 13,  3912,   // 13,13 
+ 13, 13,  4214,   13, 14, 54071,   14, 13,  2998,   14, 14,  4253,   // 13,14 
+ 13, 14,  4523,   13, 15, 53168,   14, 14,  3235,   14, 15,  4610,   // 13,15 
+ 13, -1,  3421,   13,  0,  4854,   14, -1,  4803,   14,  0, 52458,   // 14, 0 
+ 13,  0,  3204,   13,  1,  4525,   14,  0,  4522,   14,  1, 53285,   // 14, 1 
+ 13,  1,  2998,   13,  2,  4214,   14,  1,  4253,   14,  2, 54071,   // 14, 2 
+ 13,  2,  2808,   13,  3,  3929,   14,  2,  4003,   14,  3, 54796,   // 14, 3 
+ 13,  3,  2640,   13,  4,  3678,   14,  3,  3783,   14,  4, 55435,   // 14, 4 
+ 13,  4,  2503,   13,  5,  3472,   14,  4,  3604,   14,  5, 55957,   // 14, 5 
+ 13,  5,  2403,   13,  6,  3319,   14,  5,  3476,   14,  6, 56338,   // 14, 6 
+ 13,  6,  2346,   13,  7,  3227,   14,  6,  3411,   14,  7, 56552,   // 14, 7 
+ 14,  7,  3411,   14,  8, 56554,   15,  7,  2346,   15,  8,  3225,   // 14, 8 
+ 14,  8,  3477,   14,  9, 56340,   15,  8,  2402,   15,  9,  3317,   // 14, 9 
+ 14,  9,  3605,   14, 10, 55959,   15,  9,  2502,   15, 10,  3470,   // 14,10 
+ 14, 10,  3785,   14, 11, 55435,   15, 10,  2640,   15, 11,  3676,   // 14,11 
+ 14, 11,  4005,   14, 12, 54796,   15, 11,  2808,   15, 12,  3927,   // 14,12 
+ 14, 12,  4255,   14, 13, 54072,   15, 12,  2998,   15, 13,  4211,   // 14,13 
+ 14, 13,  4525,   14, 14, 53285,   15, 13,  3204,   15, 14,  4522,   // 14,14 
+ 14, 14,  4806,   14, 15, 52457,   15, 14,  3422,   15, 15,  4851,   // 14,15 
+ 14, -1,  3621,   14,  0,  5110,   15, -1,  5106,   15,  0, 51699,   // 15, 0 
+ 14,  0,  3422,   14,  1,  4806,   15,  0,  4851,   15,  1, 52457,   // 15, 1 
+ 14,  1,  3235,   14,  2,  4523,   15,  1,  4610,   15,  2, 53168,   // 15, 2 
+ 14,  2,  3065,   14,  3,  4267,   15,  2,  4390,   15,  3, 53814,   // 15, 3 
+ 14,  3,  2917,   14,  4,  4043,   15,  3,  4200,   15,  4, 54376,   // 15, 4 
+ 14,  4,  2797,   14,  5,  3860,   15,  4,  4046,   15,  5, 54833,   // 15, 5 
+ 14,  5,  2709,   14,  6,  3724,   15,  5,  3939,   15,  6, 55164,   // 15, 6 
+ 14,  6,  2659,   14,  7,  3640,   15,  6,  3885,   15,  7, 55352,   // 15, 7 
+ 15,  7,  3885,   15,  8, 55354,   16,  7,  2659,   16,  8,  3638,   // 15, 8 
+ 15,  8,  3940,   15,  9, 55166,   16,  8,  2709,   16,  9,  3721,   // 15, 9 
+ 15,  9,  4047,   15, 10, 54835,   16,  9,  2796,   16, 10,  3858,   // 15,10 
+ 15, 10,  4201,   15, 11, 54378,   16, 10,  2916,   16, 11,  4041,   // 15,11 
+ 15, 11,  4392,   15, 12, 53815,   16, 11,  3064,   16, 12,  4265,   // 15,12 
+ 15, 12,  4612,   15, 13, 53168,   16, 12,  3235,   16, 13,  4521,   // 15,13 
+ 15, 13,  4854,   15, 14, 52457,   16, 13,  3421,   16, 14,  4804,   // 15,14 
+ 15, 14,  5110,   15, 15, 51699,   16, 14,  3621,   16, 15,  5106,   // 15,15 
+ // angle of 0.0 degrees
+  0,  0, 16384,    0,  0, 16384,    0,  0, 16384,    0,  0, 16384,   //  0, 0 
+  0,  1, 16384,    0,  1, 16384,    0,  1, 16384,    0,  1, 16384,   //  0, 1 
+  0,  2, 16384,    0,  2, 16384,    0,  2, 16384,    0,  2, 16384,   //  0, 2 
+  0,  3, 16384,    0,  3, 16384,    0,  3, 16384,    0,  3, 16384,   //  0, 3 
+  0,  4, 16384,    0,  4, 16384,    0,  4, 16384,    0,  4, 16384,   //  0, 4 
+  0,  5, 16384,    0,  5, 16384,    0,  5, 16384,    0,  5, 16384,   //  0, 5 
+  0,  6, 16384,    0,  6, 16384,    0,  6, 16384,    0,  6, 16384,   //  0, 6 
+  0,  7, 16384,    0,  7, 16384,    0,  7, 16384,    0,  7, 16384,   //  0, 7 
+  0,  8, 16384,    0,  8, 16384,    0,  8, 16384,    0,  8, 16384,   //  0, 8 
+  0,  9, 16384,    0,  9, 16384,    0,  9, 16384,    0,  9, 16384,   //  0, 9 
+  0, 10, 16384,    0, 10, 16384,    0, 10, 16384,    0, 10, 16384,   //  0,10 
+  0, 11, 16384,    0, 11, 16384,    0, 11, 16384,    0, 11, 16384,   //  0,11 
+  0, 12, 16384,    0, 12, 16384,    0, 12, 16384,    0, 12, 16384,   //  0,12 
+  0, 13, 16384,    0, 13, 16384,    0, 13, 16384,    0, 13, 16384,   //  0,13 
+  0, 14, 16384,    0, 14, 16384,    0, 14, 16384,    0, 14, 16384,   //  0,14 
+  0, 15, 16384,    0, 15, 16384,    0, 15, 16384,    0, 15, 16384,   //  0,15 
+  1,  0, 16384,    1,  0, 16384,    1,  0, 16384,    1,  0, 16384,   //  1, 0 
+  1,  1, 16384,    1,  1, 16384,    1,  1, 16384,    1,  1, 16384,   //  1, 1 
+  1,  2, 16384,    1,  2, 16384,    1,  2, 16384,    1,  2, 16384,   //  1, 2 
+  1,  3, 16384,    1,  3, 16384,    1,  3, 16384,    1,  3, 16384,   //  1, 3 
+  1,  4, 16384,    1,  4, 16384,    1,  4, 16384,    1,  4, 16384,   //  1, 4 
+  1,  5, 16384,    1,  5, 16384,    1,  5, 16384,    1,  5, 16384,   //  1, 5 
+  1,  6, 16384,    1,  6, 16384,    1,  6, 16384,    1,  6, 16384,   //  1, 6 
+  1,  7, 16384,    1,  7, 16384,    1,  7, 16384,    1,  7, 16384,   //  1, 7 
+  1,  8, 16384,    1,  8, 16384,    1,  8, 16384,    1,  8, 16384,   //  1, 8 
+  1,  9, 16384,    1,  9, 16384,    1,  9, 16384,    1,  9, 16384,   //  1, 9 
+  1, 10, 16384,    1, 10, 16384,    1, 10, 16384,    1, 10, 16384,   //  1,10 
+  1, 11, 16384,    1, 11, 16384,    1, 11, 16384,    1, 11, 16384,   //  1,11 
+  1, 12, 16384,    1, 12, 16384,    1, 12, 16384,    1, 12, 16384,   //  1,12 
+  1, 13, 16384,    1, 13, 16384,    1, 13, 16384,    1, 13, 16384,   //  1,13 
+  1, 14, 16384,    1, 14, 16384,    1, 14, 16384,    1, 14, 16384,   //  1,14 
+  1, 15, 16384,    1, 15, 16384,    1, 15, 16384,    1, 15, 16384,   //  1,15 
+  2,  0, 16384,    2,  0, 16384,    2,  0, 16384,    2,  0, 16384,   //  2, 0 
+  2,  1, 16384,    2,  1, 16384,    2,  1, 16384,    2,  1, 16384,   //  2, 1 
+  2,  2, 16384,    2,  2, 16384,    2,  2, 16384,    2,  2, 16384,   //  2, 2 
+  2,  3, 16384,    2,  3, 16384,    2,  3, 16384,    2,  3, 16384,   //  2, 3 
+  2,  4, 16384,    2,  4, 16384,    2,  4, 16384,    2,  4, 16384,   //  2, 4 
+  2,  5, 16384,    2,  5, 16384,    2,  5, 16384,    2,  5, 16384,   //  2, 5 
+  2,  6, 16384,    2,  6, 16384,    2,  6, 16384,    2,  6, 16384,   //  2, 6 
+  2,  7, 16384,    2,  7, 16384,    2,  7, 16384,    2,  7, 16384,   //  2, 7 
+  2,  8, 16384,    2,  8, 16384,    2,  8, 16384,    2,  8, 16384,   //  2, 8 
+  2,  9, 16384,    2,  9, 16384,    2,  9, 16384,    2,  9, 16384,   //  2, 9 
+  2, 10, 16384,    2, 10, 16384,    2, 10, 16384,    2, 10, 16384,   //  2,10 
+  2, 11, 16384,    2, 11, 16384,    2, 11, 16384,    2, 11, 16384,   //  2,11 
+  2, 12, 16384,    2, 12, 16384,    2, 12, 16384,    2, 12, 16384,   //  2,12 
+  2, 13, 16384,    2, 13, 16384,    2, 13, 16384,    2, 13, 16384,   //  2,13 
+  2, 14, 16384,    2, 14, 16384,    2, 14, 16384,    2, 14, 16384,   //  2,14 
+  2, 15, 16384,    2, 15, 16384,    2, 15, 16384,    2, 15, 16384,   //  2,15 
+  3,  0, 16384,    3,  0, 16384,    3,  0, 16384,    3,  0, 16384,   //  3, 0 
+  3,  1, 16384,    3,  1, 16384,    3,  1, 16384,    3,  1, 16384,   //  3, 1 
+  3,  2, 16384,    3,  2, 16384,    3,  2, 16384,    3,  2, 16384,   //  3, 2 
+  3,  3, 16384,    3,  3, 16384,    3,  3, 16384,    3,  3, 16384,   //  3, 3 
+  3,  4, 16384,    3,  4, 16384,    3,  4, 16384,    3,  4, 16384,   //  3, 4 
+  3,  5, 16384,    3,  5, 16384,    3,  5, 16384,    3,  5, 16384,   //  3, 5 
+  3,  6, 16384,    3,  6, 16384,    3,  6, 16384,    3,  6, 16384,   //  3, 6 
+  3,  7, 16384,    3,  7, 16384,    3,  7, 16384,    3,  7, 16384,   //  3, 7 
+  3,  8, 16384,    3,  8, 16384,    3,  8, 16384,    3,  8, 16384,   //  3, 8 
+  3,  9, 16384,    3,  9, 16384,    3,  9, 16384,    3,  9, 16384,   //  3, 9 
+  3, 10, 16384,    3, 10, 16384,    3, 10, 16384,    3, 10, 16384,   //  3,10 
+  3, 11, 16384,    3, 11, 16384,    3, 11, 16384,    3, 11, 16384,   //  3,11 
+  3, 12, 16384,    3, 12, 16384,    3, 12, 16384,    3, 12, 16384,   //  3,12 
+  3, 13, 16384,    3, 13, 16384,    3, 13, 16384,    3, 13, 16384,   //  3,13 
+  3, 14, 16384,    3, 14, 16384,    3, 14, 16384,    3, 14, 16384,   //  3,14 
+  3, 15, 16384,    3, 15, 16384,    3, 15, 16384,    3, 15, 16384,   //  3,15 
+  4,  0, 16384,    4,  0, 16384,    4,  0, 16384,    4,  0, 16384,   //  4, 0 
+  4,  1, 16384,    4,  1, 16384,    4,  1, 16384,    4,  1, 16384,   //  4, 1 
+  4,  2, 16384,    4,  2, 16384,    4,  2, 16384,    4,  2, 16384,   //  4, 2 
+  4,  3, 16384,    4,  3, 16384,    4,  3, 16384,    4,  3, 16384,   //  4, 3 
+  4,  4, 16384,    4,  4, 16384,    4,  4, 16384,    4,  4, 16384,   //  4, 4 
+  4,  5, 16384,    4,  5, 16384,    4,  5, 16384,    4,  5, 16384,   //  4, 5 
+  4,  6, 16384,    4,  6, 16384,    4,  6, 16384,    4,  6, 16384,   //  4, 6 
+  4,  7, 16384,    4,  7, 16384,    4,  7, 16384,    4,  7, 16384,   //  4, 7 
+  4,  8, 16384,    4,  8, 16384,    4,  8, 16384,    4,  8, 16384,   //  4, 8 
+  4,  9, 16384,    4,  9, 16384,    4,  9, 16384,    4,  9, 16384,   //  4, 9 
+  4, 10, 16384,    4, 10, 16384,    4, 10, 16384,    4, 10, 16384,   //  4,10 
+  4, 11, 16384,    4, 11, 16384,    4, 11, 16384,    4, 11, 16384,   //  4,11 
+  4, 12, 16384,    4, 12, 16384,    4, 12, 16384,    4, 12, 16384,   //  4,12 
+  4, 13, 16384,    4, 13, 16384,    4, 13, 16384,    4, 13, 16384,   //  4,13 
+  4, 14, 16384,    4, 14, 16384,    4, 14, 16384,    4, 14, 16384,   //  4,14 
+  4, 15, 16384,    4, 15, 16384,    4, 15, 16384,    4, 15, 16384,   //  4,15 
+  5,  0, 16384,    5,  0, 16384,    5,  0, 16384,    5,  0, 16384,   //  5, 0 
+  5,  1, 16384,    5,  1, 16384,    5,  1, 16384,    5,  1, 16384,   //  5, 1 
+  5,  2, 16384,    5,  2, 16384,    5,  2, 16384,    5,  2, 16384,   //  5, 2 
+  5,  3, 16384,    5,  3, 16384,    5,  3, 16384,    5,  3, 16384,   //  5, 3 
+  5,  4, 16384,    5,  4, 16384,    5,  4, 16384,    5,  4, 16384,   //  5, 4 
+  5,  5, 16384,    5,  5, 16384,    5,  5, 16384,    5,  5, 16384,   //  5, 5 
+  5,  6, 16384,    5,  6, 16384,    5,  6, 16384,    5,  6, 16384,   //  5, 6 
+  5,  7, 16384,    5,  7, 16384,    5,  7, 16384,    5,  7, 16384,   //  5, 7 
+  5,  8, 16384,    5,  8, 16384,    5,  8, 16384,    5,  8, 16384,   //  5, 8 
+  5,  9, 16384,    5,  9, 16384,    5,  9, 16384,    5,  9, 16384,   //  5, 9 
+  5, 10, 16384,    5, 10, 16384,    5, 10, 16384,    5, 10, 16384,   //  5,10 
+  5, 11, 16384,    5, 11, 16384,    5, 11, 16384,    5, 11, 16384,   //  5,11 
+  5, 12, 16384,    5, 12, 16384,    5, 12, 16384,    5, 12, 16384,   //  5,12 
+  5, 13, 16384,    5, 13, 16384,    5, 13, 16384,    5, 13, 16384,   //  5,13 
+  5, 14, 16384,    5, 14, 16384,    5, 14, 16384,    5, 14, 16384,   //  5,14 
+  5, 15, 16384,    5, 15, 16384,    5, 15, 16384,    5, 15, 16384,   //  5,15 
+  6,  0, 16384,    6,  0, 16384,    6,  0, 16384,    6,  0, 16384,   //  6, 0 
+  6,  1, 16384,    6,  1, 16384,    6,  1, 16384,    6,  1, 16384,   //  6, 1 
+  6,  2, 16384,    6,  2, 16384,    6,  2, 16384,    6,  2, 16384,   //  6, 2 
+  6,  3, 16384,    6,  3, 16384,    6,  3, 16384,    6,  3, 16384,   //  6, 3 
+  6,  4, 16384,    6,  4, 16384,    6,  4, 16384,    6,  4, 16384,   //  6, 4 
+  6,  5, 16384,    6,  5, 16384,    6,  5, 16384,    6,  5, 16384,   //  6, 5 
+  6,  6, 16384,    6,  6, 16384,    6,  6, 16384,    6,  6, 16384,   //  6, 6 
+  6,  7, 16384,    6,  7, 16384,    6,  7, 16384,    6,  7, 16384,   //  6, 7 
+  6,  8, 16384,    6,  8, 16384,    6,  8, 16384,    6,  8, 16384,   //  6, 8 
+  6,  9, 16384,    6,  9, 16384,    6,  9, 16384,    6,  9, 16384,   //  6, 9 
+  6, 10, 16384,    6, 10, 16384,    6, 10, 16384,    6, 10, 16384,   //  6,10 
+  6, 11, 16384,    6, 11, 16384,    6, 11, 16384,    6, 11, 16384,   //  6,11 
+  6, 12, 16384,    6, 12, 16384,    6, 12, 16384,    6, 12, 16384,   //  6,12 
+  6, 13, 16384,    6, 13, 16384,    6, 13, 16384,    6, 13, 16384,   //  6,13 
+  6, 14, 16384,    6, 14, 16384,    6, 14, 16384,    6, 14, 16384,   //  6,14 
+  6, 15, 16384,    6, 15, 16384,    6, 15, 16384,    6, 15, 16384,   //  6,15 
+  7,  0, 16384,    7,  0, 16384,    7,  0, 16384,    7,  0, 16384,   //  7, 0 
+  7,  1, 16384,    7,  1, 16384,    7,  1, 16384,    7,  1, 16384,   //  7, 1 
+  7,  2, 16384,    7,  2, 16384,    7,  2, 16384,    7,  2, 16384,   //  7, 2 
+  7,  3, 16384,    7,  3, 16384,    7,  3, 16384,    7,  3, 16384,   //  7, 3 
+  7,  4, 16384,    7,  4, 16384,    7,  4, 16384,    7,  4, 16384,   //  7, 4 
+  7,  5, 16384,    7,  5, 16384,    7,  5, 16384,    7,  5, 16384,   //  7, 5 
+  7,  6, 16384,    7,  6, 16384,    7,  6, 16384,    7,  6, 16384,   //  7, 6 
+  7,  7, 16384,    7,  7, 16384,    7,  7, 16384,    7,  7, 16384,   //  7, 7 
+  7,  8, 16384,    7,  8, 16384,    7,  8, 16384,    7,  8, 16384,   //  7, 8 
+  7,  9, 16384,    7,  9, 16384,    7,  9, 16384,    7,  9, 16384,   //  7, 9 
+  7, 10, 16384,    7, 10, 16384,    7, 10, 16384,    7, 10, 16384,   //  7,10 
+  7, 11, 16384,    7, 11, 16384,    7, 11, 16384,    7, 11, 16384,   //  7,11 
+  7, 12, 16384,    7, 12, 16384,    7, 12, 16384,    7, 12, 16384,   //  7,12 
+  7, 13, 16384,    7, 13, 16384,    7, 13, 16384,    7, 13, 16384,   //  7,13 
+  7, 14, 16384,    7, 14, 16384,    7, 14, 16384,    7, 14, 16384,   //  7,14 
+  7, 15, 16384,    7, 15, 16384,    7, 15, 16384,    7, 15, 16384,   //  7,15 
+  8,  0, 16384,    8,  0, 16384,    8,  0, 16384,    8,  0, 16384,   //  8, 0 
+  8,  1, 16384,    8,  1, 16384,    8,  1, 16384,    8,  1, 16384,   //  8, 1 
+  8,  2, 16384,    8,  2, 16384,    8,  2, 16384,    8,  2, 16384,   //  8, 2 
+  8,  3, 16384,    8,  3, 16384,    8,  3, 16384,    8,  3, 16384,   //  8, 3 
+  8,  4, 16384,    8,  4, 16384,    8,  4, 16384,    8,  4, 16384,   //  8, 4 
+  8,  5, 16384,    8,  5, 16384,    8,  5, 16384,    8,  5, 16384,   //  8, 5 
+  8,  6, 16384,    8,  6, 16384,    8,  6, 16384,    8,  6, 16384,   //  8, 6 
+  8,  7, 16384,    8,  7, 16384,    8,  7, 16384,    8,  7, 16384,   //  8, 7 
+  8,  8, 16384,    8,  8, 16384,    8,  8, 16384,    8,  8, 16384,   //  8, 8 
+  8,  9, 16384,    8,  9, 16384,    8,  9, 16384,    8,  9, 16384,   //  8, 9 
+  8, 10, 16384,    8, 10, 16384,    8, 10, 16384,    8, 10, 16384,   //  8,10 
+  8, 11, 16384,    8, 11, 16384,    8, 11, 16384,    8, 11, 16384,   //  8,11 
+  8, 12, 16384,    8, 12, 16384,    8, 12, 16384,    8, 12, 16384,   //  8,12 
+  8, 13, 16384,    8, 13, 16384,    8, 13, 16384,    8, 13, 16384,   //  8,13 
+  8, 14, 16384,    8, 14, 16384,    8, 14, 16384,    8, 14, 16384,   //  8,14 
+  8, 15, 16384,    8, 15, 16384,    8, 15, 16384,    8, 15, 16384,   //  8,15 
+  9,  0, 16384,    9,  0, 16384,    9,  0, 16384,    9,  0, 16384,   //  9, 0 
+  9,  1, 16384,    9,  1, 16384,    9,  1, 16384,    9,  1, 16384,   //  9, 1 
+  9,  2, 16384,    9,  2, 16384,    9,  2, 16384,    9,  2, 16384,   //  9, 2 
+  9,  3, 16384,    9,  3, 16384,    9,  3, 16384,    9,  3, 16384,   //  9, 3 
+  9,  4, 16384,    9,  4, 16384,    9,  4, 16384,    9,  4, 16384,   //  9, 4 
+  9,  5, 16384,    9,  5, 16384,    9,  5, 16384,    9,  5, 16384,   //  9, 5 
+  9,  6, 16384,    9,  6, 16384,    9,  6, 16384,    9,  6, 16384,   //  9, 6 
+  9,  7, 16384,    9,  7, 16384,    9,  7, 16384,    9,  7, 16384,   //  9, 7 
+  9,  8, 16384,    9,  8, 16384,    9,  8, 16384,    9,  8, 16384,   //  9, 8 
+  9,  9, 16384,    9,  9, 16384,    9,  9, 16384,    9,  9, 16384,   //  9, 9 
+  9, 10, 16384,    9, 10, 16384,    9, 10, 16384,    9, 10, 16384,   //  9,10 
+  9, 11, 16384,    9, 11, 16384,    9, 11, 16384,    9, 11, 16384,   //  9,11 
+  9, 12, 16384,    9, 12, 16384,    9, 12, 16384,    9, 12, 16384,   //  9,12 
+  9, 13, 16384,    9, 13, 16384,    9, 13, 16384,    9, 13, 16384,   //  9,13 
+  9, 14, 16384,    9, 14, 16384,    9, 14, 16384,    9, 14, 16384,   //  9,14 
+  9, 15, 16384,    9, 15, 16384,    9, 15, 16384,    9, 15, 16384,   //  9,15 
+ 10,  0, 16384,   10,  0, 16384,   10,  0, 16384,   10,  0, 16384,   // 10, 0 
+ 10,  1, 16384,   10,  1, 16384,   10,  1, 16384,   10,  1, 16384,   // 10, 1 
+ 10,  2, 16384,   10,  2, 16384,   10,  2, 16384,   10,  2, 16384,   // 10, 2 
+ 10,  3, 16384,   10,  3, 16384,   10,  3, 16384,   10,  3, 16384,   // 10, 3 
+ 10,  4, 16384,   10,  4, 16384,   10,  4, 16384,   10,  4, 16384,   // 10, 4 
+ 10,  5, 16384,   10,  5, 16384,   10,  5, 16384,   10,  5, 16384,   // 10, 5 
+ 10,  6, 16384,   10,  6, 16384,   10,  6, 16384,   10,  6, 16384,   // 10, 6 
+ 10,  7, 16384,   10,  7, 16384,   10,  7, 16384,   10,  7, 16384,   // 10, 7 
+ 10,  8, 16384,   10,  8, 16384,   10,  8, 16384,   10,  8, 16384,   // 10, 8 
+ 10,  9, 16384,   10,  9, 16384,   10,  9, 16384,   10,  9, 16384,   // 10, 9 
+ 10, 10, 16384,   10, 10, 16384,   10, 10, 16384,   10, 10, 16384,   // 10,10 
+ 10, 11, 16384,   10, 11, 16384,   10, 11, 16384,   10, 11, 16384,   // 10,11 
+ 10, 12, 16384,   10, 12, 16384,   10, 12, 16384,   10, 12, 16384,   // 10,12 
+ 10, 13, 16384,   10, 13, 16384,   10, 13, 16384,   10, 13, 16384,   // 10,13 
+ 10, 14, 16384,   10, 14, 16384,   10, 14, 16384,   10, 14, 16384,   // 10,14 
+ 10, 15, 16384,   10, 15, 16384,   10, 15, 16384,   10, 15, 16384,   // 10,15 
+ 11,  0, 16384,   11,  0, 16384,   11,  0, 16384,   11,  0, 16384,   // 11, 0 
+ 11,  1, 16384,   11,  1, 16384,   11,  1, 16384,   11,  1, 16384,   // 11, 1 
+ 11,  2, 16384,   11,  2, 16384,   11,  2, 16384,   11,  2, 16384,   // 11, 2 
+ 11,  3, 16384,   11,  3, 16384,   11,  3, 16384,   11,  3, 16384,   // 11, 3 
+ 11,  4, 16384,   11,  4, 16384,   11,  4, 16384,   11,  4, 16384,   // 11, 4 
+ 11,  5, 16384,   11,  5, 16384,   11,  5, 16384,   11,  5, 16384,   // 11, 5 
+ 11,  6, 16384,   11,  6, 16384,   11,  6, 16384,   11,  6, 16384,   // 11, 6 
+ 11,  7, 16384,   11,  7, 16384,   11,  7, 16384,   11,  7, 16384,   // 11, 7 
+ 11,  8, 16384,   11,  8, 16384,   11,  8, 16384,   11,  8, 16384,   // 11, 8 
+ 11,  9, 16384,   11,  9, 16384,   11,  9, 16384,   11,  9, 16384,   // 11, 9 
+ 11, 10, 16384,   11, 10, 16384,   11, 10, 16384,   11, 10, 16384,   // 11,10 
+ 11, 11, 16384,   11, 11, 16384,   11, 11, 16384,   11, 11, 16384,   // 11,11 
+ 11, 12, 16384,   11, 12, 16384,   11, 12, 16384,   11, 12, 16384,   // 11,12 
+ 11, 13, 16384,   11, 13, 16384,   11, 13, 16384,   11, 13, 16384,   // 11,13 
+ 11, 14, 16384,   11, 14, 16384,   11, 14, 16384,   11, 14, 16384,   // 11,14 
+ 11, 15, 16384,   11, 15, 16384,   11, 15, 16384,   11, 15, 16384,   // 11,15 
+ 12,  0, 16384,   12,  0, 16384,   12,  0, 16384,   12,  0, 16384,   // 12, 0 
+ 12,  1, 16384,   12,  1, 16384,   12,  1, 16384,   12,  1, 16384,   // 12, 1 
+ 12,  2, 16384,   12,  2, 16384,   12,  2, 16384,   12,  2, 16384,   // 12, 2 
+ 12,  3, 16384,   12,  3, 16384,   12,  3, 16384,   12,  3, 16384,   // 12, 3 
+ 12,  4, 16384,   12,  4, 16384,   12,  4, 16384,   12,  4, 16384,   // 12, 4 
+ 12,  5, 16384,   12,  5, 16384,   12,  5, 16384,   12,  5, 16384,   // 12, 5 
+ 12,  6, 16384,   12,  6, 16384,   12,  6, 16384,   12,  6, 16384,   // 12, 6 
+ 12,  7, 16384,   12,  7, 16384,   12,  7, 16384,   12,  7, 16384,   // 12, 7 
+ 12,  8, 16384,   12,  8, 16384,   12,  8, 16384,   12,  8, 16384,   // 12, 8 
+ 12,  9, 16384,   12,  9, 16384,   12,  9, 16384,   12,  9, 16384,   // 12, 9 
+ 12, 10, 16384,   12, 10, 16384,   12, 10, 16384,   12, 10, 16384,   // 12,10 
+ 12, 11, 16384,   12, 11, 16384,   12, 11, 16384,   12, 11, 16384,   // 12,11 
+ 12, 12, 16384,   12, 12, 16384,   12, 12, 16384,   12, 12, 16384,   // 12,12 
+ 12, 13, 16384,   12, 13, 16384,   12, 13, 16384,   12, 13, 16384,   // 12,13 
+ 12, 14, 16384,   12, 14, 16384,   12, 14, 16384,   12, 14, 16384,   // 12,14 
+ 12, 15, 16384,   12, 15, 16384,   12, 15, 16384,   12, 15, 16384,   // 12,15 
+ 13,  0, 16384,   13,  0, 16384,   13,  0, 16384,   13,  0, 16384,   // 13, 0 
+ 13,  1, 16384,   13,  1, 16384,   13,  1, 16384,   13,  1, 16384,   // 13, 1 
+ 13,  2, 16384,   13,  2, 16384,   13,  2, 16384,   13,  2, 16384,   // 13, 2 
+ 13,  3, 16384,   13,  3, 16384,   13,  3, 16384,   13,  3, 16384,   // 13, 3 
+ 13,  4, 16384,   13,  4, 16384,   13,  4, 16384,   13,  4, 16384,   // 13, 4 
+ 13,  5, 16384,   13,  5, 16384,   13,  5, 16384,   13,  5, 16384,   // 13, 5 
+ 13,  6, 16384,   13,  6, 16384,   13,  6, 16384,   13,  6, 16384,   // 13, 6 
+ 13,  7, 16384,   13,  7, 16384,   13,  7, 16384,   13,  7, 16384,   // 13, 7 
+ 13,  8, 16384,   13,  8, 16384,   13,  8, 16384,   13,  8, 16384,   // 13, 8 
+ 13,  9, 16384,   13,  9, 16384,   13,  9, 16384,   13,  9, 16384,   // 13, 9 
+ 13, 10, 16384,   13, 10, 16384,   13, 10, 16384,   13, 10, 16384,   // 13,10 
+ 13, 11, 16384,   13, 11, 16384,   13, 11, 16384,   13, 11, 16384,   // 13,11 
+ 13, 12, 16384,   13, 12, 16384,   13, 12, 16384,   13, 12, 16384,   // 13,12 
+ 13, 13, 16384,   13, 13, 16384,   13, 13, 16384,   13, 13, 16384,   // 13,13 
+ 13, 14, 16384,   13, 14, 16384,   13, 14, 16384,   13, 14, 16384,   // 13,14 
+ 13, 15, 16384,   13, 15, 16384,   13, 15, 16384,   13, 15, 16384,   // 13,15 
+ 14,  0, 16384,   14,  0, 16384,   14,  0, 16384,   14,  0, 16384,   // 14, 0 
+ 14,  1, 16384,   14,  1, 16384,   14,  1, 16384,   14,  1, 16384,   // 14, 1 
+ 14,  2, 16384,   14,  2, 16384,   14,  2, 16384,   14,  2, 16384,   // 14, 2 
+ 14,  3, 16384,   14,  3, 16384,   14,  3, 16384,   14,  3, 16384,   // 14, 3 
+ 14,  4, 16384,   14,  4, 16384,   14,  4, 16384,   14,  4, 16384,   // 14, 4 
+ 14,  5, 16384,   14,  5, 16384,   14,  5, 16384,   14,  5, 16384,   // 14, 5 
+ 14,  6, 16384,   14,  6, 16384,   14,  6, 16384,   14,  6, 16384,   // 14, 6 
+ 14,  7, 16384,   14,  7, 16384,   14,  7, 16384,   14,  7, 16384,   // 14, 7 
+ 14,  8, 16384,   14,  8, 16384,   14,  8, 16384,   14,  8, 16384,   // 14, 8 
+ 14,  9, 16384,   14,  9, 16384,   14,  9, 16384,   14,  9, 16384,   // 14, 9 
+ 14, 10, 16384,   14, 10, 16384,   14, 10, 16384,   14, 10, 16384,   // 14,10 
+ 14, 11, 16384,   14, 11, 16384,   14, 11, 16384,   14, 11, 16384,   // 14,11 
+ 14, 12, 16384,   14, 12, 16384,   14, 12, 16384,   14, 12, 16384,   // 14,12 
+ 14, 13, 16384,   14, 13, 16384,   14, 13, 16384,   14, 13, 16384,   // 14,13 
+ 14, 14, 16384,   14, 14, 16384,   14, 14, 16384,   14, 14, 16384,   // 14,14 
+ 14, 15, 16384,   14, 15, 16384,   14, 15, 16384,   14, 15, 16384,   // 14,15 
+ 15,  0, 16384,   15,  0, 16384,   15,  0, 16384,   15,  0, 16384,   // 15, 0 
+ 15,  1, 16384,   15,  1, 16384,   15,  1, 16384,   15,  1, 16384,   // 15, 1 
+ 15,  2, 16384,   15,  2, 16384,   15,  2, 16384,   15,  2, 16384,   // 15, 2 
+ 15,  3, 16384,   15,  3, 16384,   15,  3, 16384,   15,  3, 16384,   // 15, 3 
+ 15,  4, 16384,   15,  4, 16384,   15,  4, 16384,   15,  4, 16384,   // 15, 4 
+ 15,  5, 16384,   15,  5, 16384,   15,  5, 16384,   15,  5, 16384,   // 15, 5 
+ 15,  6, 16384,   15,  6, 16384,   15,  6, 16384,   15,  6, 16384,   // 15, 6 
+ 15,  7, 16384,   15,  7, 16384,   15,  7, 16384,   15,  7, 16384,   // 15, 7 
+ 15,  8, 16384,   15,  8, 16384,   15,  8, 16384,   15,  8, 16384,   // 15, 8 
+ 15,  9, 16384,   15,  9, 16384,   15,  9, 16384,   15,  9, 16384,   // 15, 9 
+ 15, 10, 16384,   15, 10, 16384,   15, 10, 16384,   15, 10, 16384,   // 15,10 
+ 15, 11, 16384,   15, 11, 16384,   15, 11, 16384,   15, 11, 16384,   // 15,11 
+ 15, 12, 16384,   15, 12, 16384,   15, 12, 16384,   15, 12, 16384,   // 15,12 
+ 15, 13, 16384,   15, 13, 16384,   15, 13, 16384,   15, 13, 16384,   // 15,13 
+ 15, 14, 16384,   15, 14, 16384,   15, 14, 16384,   15, 14, 16384,   // 15,14 
+ 15, 15, 16384,   15, 15, 16384,   15, 15, 16384,   15, 15, 16384,   // 15,15 
+ // angle of 0.5 degrees
+  0, -1,  5106,    0,  0, 51699,    1, -1,  3621,    1,  0,  5110,   //  0, 0 
+  0,  0,  4851,    0,  1, 52457,    1,  0,  3422,    1,  1,  4806,   //  0, 1 
+  0,  1,  4610,    0,  2, 53168,    1,  1,  3235,    1,  2,  4523,   //  0, 2 
+  0,  2,  4390,    0,  3, 53814,    1,  2,  3065,    1,  3,  4267,   //  0, 3 
+  0,  3,  4200,    0,  4, 54376,    1,  3,  2917,    1,  4,  4043,   //  0, 4 
+  0,  4,  4046,    0,  5, 54833,    1,  4,  2797,    1,  5,  3860,   //  0, 5 
+  0,  5,  3939,    0,  6, 55164,    1,  5,  2709,    1,  6,  3724,   //  0, 6 
+  0,  6,  3885,    0,  7, 55352,    1,  6,  2659,    1,  7,  3640,   //  0, 7 
+ -1,  7,  2659,   -1,  8,  3638,    0,  7,  3885,    0,  8, 55354,   //  0, 8 
+ -1,  8,  2709,   -1,  9,  3722,    0,  8,  3940,    0,  9, 55165,   //  0, 9 
+ -1,  9,  2796,   -1, 10,  3858,    0,  9,  4047,    0, 10, 54835,   //  0,10 
+ -1, 10,  2916,   -1, 11,  4041,    0, 10,  4201,    0, 11, 54378,   //  0,11 
+ -1, 11,  3064,   -1, 12,  4264,    0, 11,  4392,    0, 12, 53816,   //  0,12 
+ -1, 12,  3235,   -1, 13,  4521,    0, 12,  4612,    0, 13, 53168,   //  0,13 
+ -1, 13,  3421,   -1, 14,  4803,    0, 13,  4854,    0, 14, 52458,   //  0,14 
+ -1, 14,  3621,   -1, 15,  5106,    0, 14,  5110,    0, 15, 51699,   //  0,15 
+  1, -1,  4803,    1,  0, 52457,    2, -1,  3421,    2,  0,  4855,   //  1, 0 
+  1,  0,  4522,    1,  1, 53285,    2,  0,  3204,    2,  1,  4525,   //  1, 1 
+  1,  1,  4253,    1,  2, 54071,    2,  1,  2998,    2,  2,  4214,   //  1, 2 
+  1,  2,  4003,    1,  3, 54796,    2,  2,  2808,    2,  3,  3929,   //  1, 3 
+  1,  3,  3783,    1,  4, 55434,    2,  3,  2640,    2,  4,  3679,   //  1, 4 
+  1,  4,  3604,    1,  5, 55958,    2,  4,  2503,    2,  5,  3471,   //  1, 5 
+  1,  5,  3476,    1,  6, 56339,    2,  5,  2403,    2,  6,  3318,   //  1, 6 
+  1,  6,  3411,    1,  7, 56552,    2,  6,  2346,    2,  7,  3227,   //  1, 7 
+  0,  7,  2346,    0,  8,  3225,    1,  7,  3411,    1,  8, 56554,   //  1, 8 
+  0,  8,  2402,    0,  9,  3317,    1,  8,  3477,    1,  9, 56340,   //  1, 9 
+  0,  9,  2502,    0, 10,  3470,    1,  9,  3605,    1, 10, 55959,   //  1,10 
+  0, 10,  2640,    0, 11,  3677,    1, 10,  3785,    1, 11, 55434,   //  1,11 
+  0, 11,  2808,    0, 12,  3927,    1, 11,  4005,    1, 12, 54796,   //  1,12 
+  0, 12,  2998,    0, 13,  4212,    1, 12,  4255,    1, 13, 54071,   //  1,13 
+  0, 13,  3204,    0, 14,  4522,    1, 13,  4525,    1, 14, 53285,   //  1,14 
+  0, 14,  3422,    0, 15,  4851,    1, 14,  4806,    1, 15, 52457,   //  1,15 
+  2, -1,  4521,    2,  0, 53168,    3, -1,  3235,    3,  0,  4612,   //  2, 0 
+  2,  0,  4212,    2,  1, 54072,    3,  0,  2998,    3,  1,  4254,   //  2, 1 
+  2,  1,  3911,    2,  2, 54941,    3,  1,  2770,    3,  2,  3914,   //  2, 2 
+  2,  2,  3628,    2,  3, 55756,    3,  2,  2557,    3,  3,  3595,   //  2, 3 
+  2,  3,  3373,    2,  4, 56486,    3,  3,  2365,    3,  4,  3312,   //  2, 4 
+  2,  4,  3161,    2,  5, 57095,    3,  4,  2205,    3,  5,  3075,   //  2, 5 
+  2,  5,  3007,    2,  6, 57544,    3,  5,  2088,    3,  6,  2897,   //  2, 6 
+  2,  6,  2926,    2,  7, 57793,    3,  6,  2022,    3,  7,  2795,   //  2, 7 
+  1,  7,  2022,    1,  8,  2794,    2,  7,  2926,    2,  8, 57794,   //  2, 8 
+  1,  8,  2088,    1,  9,  2897,    2,  8,  3007,    2,  9, 57544,   //  2, 9 
+  1,  9,  2205,    1, 10,  3073,    2,  9,  3161,    2, 10, 57097,   //  2,10 
+  1, 10,  2365,    1, 11,  3310,    2, 10,  3374,    2, 11, 56487,   //  2,11 
+  1, 11,  2556,    1, 12,  3594,    2, 11,  3630,    2, 12, 55756,   //  2,12 
+  1, 12,  2770,    1, 13,  3911,    2, 12,  3913,    2, 13, 54942,   //  2,13 
+  1, 13,  2998,    1, 14,  4253,    2, 13,  4214,    2, 14, 54071,   //  2,14 
+  1, 14,  3235,    1, 15,  4610,    2, 14,  4523,    2, 15, 53168,   //  2,15 
+  3, -1,  4264,    3,  0, 53815,    4, -1,  3064,    4,  0,  4393,   //  3, 0 
+  3,  0,  3927,    3,  1, 54796,    4,  0,  2808,    4,  1,  4005,   //  3, 1 
+  3,  1,  3594,    3,  2, 55756,    4,  1,  2556,    4,  2,  3630,   //  3, 2 
+  3,  2,  3273,    3,  3, 56673,    4,  2,  2317,    4,  3,  3273,   //  3, 3 
+  3,  3,  2976,    3,  4, 57514,    4,  3,  2096,    4,  4,  2950,   //  3, 4 
+  3,  4,  2722,    3,  5, 58233,    4,  4,  1908,    4,  5,  2673,   //  3, 5 
+  3,  5,  2532,    3,  6, 58774,    4,  5,  1767,    4,  6,  2463,   //  3, 6 
+  3,  6,  2430,    3,  7, 59076,    4,  6,  1687,    4,  7,  2343,   //  3, 7 
+  2,  7,  1687,    2,  8,  2342,    3,  7,  2430,    3,  8, 59077,   //  3, 8 
+  2,  8,  1766,    2,  9,  2463,    3,  8,  2532,    3,  9, 58775,   //  3, 9 
+  2,  9,  1908,    2, 10,  2672,    3,  9,  2723,    3, 10, 58233,   //  3,10 
+  2, 10,  2096,    2, 11,  2948,    3, 10,  2977,    3, 11, 57515,   //  3,11 
+  2, 11,  2317,    2, 12,  3273,    3, 11,  3274,    3, 12, 56672,   //  3,12 
+  2, 12,  2557,    2, 13,  3628,    3, 12,  3595,    3, 13, 55756,   //  3,13 
+  2, 13,  2808,    2, 14,  4003,    3, 13,  3929,    3, 14, 54796,   //  3,14 
+  2, 14,  3065,    2, 15,  4390,    3, 14,  4267,    3, 15, 53814,   //  3,15 
+  4, -1,  4041,    4,  0, 54378,    5, -1,  2916,    5,  0,  4201,   //  4, 0 
+  4,  0,  3677,    4,  1, 55435,    5,  0,  2640,    5,  1,  3784,   //  4, 1 
+  4,  1,  3310,    4,  2, 56487,    5,  1,  2365,    5,  2,  3374,   //  4, 2 
+  4,  2,  2948,    4,  3, 57514,    5,  2,  2096,    5,  3,  2978,   //  4, 3 
+  4,  3,  2604,    4,  4, 58484,    5,  3,  1843,    5,  4,  2605,   //  4, 4 
+  4,  4,  2297,    4,  5, 59345,    5,  4,  1617,    5,  5,  2277,   //  4, 5 
+  4,  5,  2057,    4,  6, 60017,    5,  5,  1442,    5,  6,  2020,   //  4, 6 
+  4,  6,  1922,    4,  7, 60402,    5,  6,  1341,    5,  7,  1871,   //  4, 7 
+  3,  7,  1341,    3,  8,  1871,    4,  7,  1922,    4,  8, 60402,   //  4, 8 
+  3,  8,  1442,    3,  9,  2020,    4,  8,  2057,    4,  9, 60017,   //  4, 9 
+  3,  9,  1617,    3, 10,  2276,    4,  9,  2297,    4, 10, 59346,   //  4,10 
+  3, 10,  1843,    3, 11,  2604,    4, 10,  2605,    4, 11, 58484,   //  4,11 
+  3, 11,  2096,    3, 12,  2976,    4, 11,  2950,    4, 12, 57514,   //  4,12 
+  3, 12,  2365,    3, 13,  3373,    4, 12,  3311,    4, 13, 56487,   //  4,13 
+  3, 13,  2640,    3, 14,  3783,    4, 13,  3678,    4, 14, 55435,   //  4,14 
+  3, 14,  2917,    3, 15,  4200,    4, 14,  4043,    4, 15, 54376,   //  4,15 
+  5, -1,  3858,    5,  0, 54835,    6, -1,  2796,    6,  0,  4047,   //  5, 0 
+  5,  0,  3470,    5,  1, 55959,    6,  0,  2502,    6,  1,  3605,   //  5, 1 
+  5,  1,  3073,    5,  2, 57096,    6,  1,  2205,    6,  2,  3162,   //  5, 2 
+  5,  2,  2672,    5,  3, 58234,    6,  2,  1908,    6,  3,  2722,   //  5, 3 
+  5,  3,  2276,    5,  4, 59346,    6,  3,  1617,    6,  4,  2297,   //  5, 4 
+  5,  4,  1904,    5,  5, 60381,    6,  4,  1347,    6,  5,  1904,   //  5, 5 
+  5,  5,  1593,    5,  6, 61243,    6,  5,  1121,    6,  6,  1579,   //  5, 6 
+  5,  6,  1405,    5,  7, 61767,    6,  6,   985,    6,  7,  1379,   //  5, 7 
+  4,  7,   985,    4,  8,  1380,    5,  7,  1405,    5,  8, 61766,   //  5, 8 
+  4,  8,  1121,    4,  9,  1578,    5,  8,  1593,    5,  9, 61244,   //  5, 9 
+  4,  9,  1347,    4, 10,  1904,    5,  9,  1904,    5, 10, 60381,   //  5,10 
+  4, 10,  1617,    4, 11,  2297,    5, 10,  2276,    5, 11, 59346,   //  5,11 
+  4, 11,  1908,    4, 12,  2722,    5, 11,  2673,    5, 12, 58233,   //  5,12 
+  4, 12,  2205,    4, 13,  3161,    5, 12,  3074,    5, 13, 57096,   //  5,13 
+  4, 13,  2503,    4, 14,  3604,    5, 13,  3472,    5, 14, 55957,   //  5,14 
+  4, 14,  2797,    4, 15,  4046,    5, 14,  3860,    5, 15, 54833,   //  5,15 
+  6, -1,  3722,    6,  0, 55166,    7, -1,  2709,    7,  0,  3939,   //  6, 0 
+  6,  0,  3317,    6,  1, 56340,    7,  0,  2402,    7,  1,  3477,   //  6, 1 
+  6,  1,  2897,    6,  2, 57545,    7,  1,  2088,    7,  2,  3006,   //  6, 2 
+  6,  2,  2463,    6,  3, 58775,    7,  2,  1766,    7,  3,  2532,   //  6, 3 
+  6,  3,  2020,    6,  4, 60018,    7,  3,  1442,    7,  4,  2056,   //  6, 4 
+  6,  4,  1578,    6,  5, 61243,    7,  4,  1121,    7,  5,  1594,   //  6, 5 
+  6,  5,  1170,    6,  6, 62369,    7,  5,   827,    7,  6,  1170,   //  6, 6 
+  6,  6,   883,    6,  7, 63156,    7,  6,   622,    7,  7,   875,   //  6, 7 
+  5,  7,   622,    5,  8,   875,    6,  7,   883,    6,  8, 63156,   //  6, 8 
+  5,  8,   827,    5,  9,  1170,    6,  8,  1170,    6,  9, 62369,   //  6, 9 
+  5,  9,  1121,    5, 10,  1593,    6,  9,  1579,    6, 10, 61243,   //  6,10 
+  5, 10,  1442,    5, 11,  2057,    6, 10,  2020,    6, 11, 60017,   //  6,11 
+  5, 11,  1767,    5, 12,  2532,    6, 11,  2464,    6, 12, 58773,   //  6,12 
+  5, 12,  2088,    5, 13,  3007,    6, 12,  2898,    6, 13, 57543,   //  6,13 
+  5, 13,  2403,    5, 14,  3476,    6, 13,  3319,    6, 14, 56338,   //  6,14 
+  5, 14,  2709,    5, 15,  3939,    6, 14,  3724,    6, 15, 55164,   //  6,15 
+  7, -1,  3638,    7,  0, 55354,    8, -1,  2659,    8,  0,  3885,   //  7, 0 
+  7,  0,  3225,    7,  1, 56554,    8,  0,  2346,    8,  1,  3411,   //  7, 1 
+  7,  1,  2794,    7,  2, 57795,    8,  1,  2022,    8,  2,  2925,   //  7, 2 
+  7,  2,  2342,    7,  3, 59077,    8,  2,  1687,    8,  3,  2430,   //  7, 3 
+  7,  3,  1871,    7,  4, 60402,    8,  3,  1341,    8,  4,  1922,   //  7, 4 
+  7,  4,  1380,    7,  5, 61767,    8,  4,   985,    8,  5,  1404,   //  7, 5 
+  7,  5,   875,    7,  6, 63156,    8,  5,   622,    8,  6,   883,   //  7, 6 
+  7,  6,   399,    7,  7, 64455,    8,  6,   282,    8,  7,   400,   //  7, 7 
+  6,  7,   282,    6,  8,   399,    7,  7,   399,    7,  8, 64456,   //  7, 8 
+  6,  8,   622,    6,  9,   883,    7,  8,   875,    7,  9, 63156,   //  7, 9 
+  6,  9,   985,    6, 10,  1405,    7,  9,  1380,    7, 10, 61766,   //  7,10 
+  6, 10,  1341,    6, 11,  1922,    7, 10,  1871,    7, 11, 60402,   //  7,11 
+  6, 11,  1687,    6, 12,  2430,    7, 11,  2343,    7, 12, 59076,   //  7,12 
+  6, 12,  2022,    6, 13,  2926,    7, 12,  2795,    7, 13, 57793,   //  7,13 
+  6, 13,  2346,    6, 14,  3411,    7, 13,  3227,    7, 14, 56552,   //  7,14 
+  6, 14,  2659,    6, 15,  3885,    7, 14,  3640,    7, 15, 55352,   //  7,15 
+  8,  0, 55352,    8,  1,  3640,    9,  0,  3885,    9,  1,  2659,   //  8, 0 
+  8,  1, 56552,    8,  2,  3227,    9,  1,  3411,    9,  2,  2346,   //  8, 1 
+  8,  2, 57793,    8,  3,  2795,    9,  2,  2926,    9,  3,  2022,   //  8, 2 
+  8,  3, 59076,    8,  4,  2343,    9,  3,  2430,    9,  4,  1687,   //  8, 3 
+  8,  4, 60402,    8,  5,  1871,    9,  4,  1922,    9,  5,  1341,   //  8, 4 
+  8,  5, 61767,    8,  6,  1380,    9,  5,  1405,    9,  6,   984,   //  8, 5 
+  8,  6, 63156,    8,  7,   875,    9,  6,   883,    9,  7,   622,   //  8, 6 
+  8,  7, 64455,    8,  8,   399,    9,  7,   399,    9,  8,   283,   //  8, 7 
+  7,  8,   399,    7,  9,   282,    8,  8, 64455,    8,  9,   400,   //  8, 8 
+  7,  9,   883,    7, 10,   622,    8,  9, 63156,    8, 10,   875,   //  8, 9 
+  7, 10,  1405,    7, 11,   985,    8, 10, 61767,    8, 11,  1379,   //  8,10 
+  7, 11,  1922,    7, 12,  1341,    8, 11, 60402,    8, 12,  1871,   //  8,11 
+  7, 12,  2430,    7, 13,  1687,    8, 12, 59077,    8, 13,  2342,   //  8,12 
+  7, 13,  2926,    7, 14,  2022,    8, 13, 57795,    8, 14,  2793,   //  8,13 
+  7, 14,  3411,    7, 15,  2346,    8, 14, 56554,    8, 15,  3225,   //  8,14 
+  7, 15,  3885,    7, 16,  2659,    8, 15, 55354,    8, 16,  3638,   //  8,15 
+  9,  0, 55164,    9,  1,  3724,   10,  0,  3939,   10,  1,  2709,   //  9, 0 
+  9,  1, 56339,    9,  2,  3319,   10,  1,  3476,   10,  2,  2402,   //  9, 1 
+  9,  2, 57544,    9,  3,  2898,   10,  2,  3007,   10,  3,  2087,   //  9, 2 
+  9,  3, 58774,    9,  4,  2464,   10,  3,  2532,   10,  4,  1766,   //  9, 3 
+  9,  4, 60017,    9,  5,  2020,   10,  4,  2057,   10,  5,  1442,   //  9, 4 
+  9,  5, 61243,    9,  6,  1579,   10,  5,  1593,   10,  6,  1121,   //  9, 5 
+  9,  6, 62369,    9,  7,  1170,   10,  6,  1170,   10,  7,   827,   //  9, 6 
+  9,  7, 63156,    9,  8,   883,   10,  7,   875,   10,  8,   622,   //  9, 7 
+  8,  8,   875,    8,  9,   622,    9,  8, 63156,    9,  9,   883,   //  9, 8 
+  8,  9,  1170,    8, 10,   827,    9,  9, 62369,    9, 10,  1170,   //  9, 9 
+  8, 10,  1593,    8, 11,  1121,    9, 10, 61243,    9, 11,  1579,   //  9,10 
+  8, 11,  2057,    8, 12,  1442,    9, 11, 60018,    9, 12,  2019,   //  9,11 
+  8, 12,  2532,    8, 13,  1766,    9, 12, 58775,    9, 13,  2463,   //  9,12 
+  8, 13,  3007,    8, 14,  2088,    9, 13, 57545,    9, 14,  2896,   //  9,13 
+  8, 14,  3477,    8, 15,  2402,    9, 14, 56340,    9, 15,  3317,   //  9,14 
+  8, 15,  3940,    8, 16,  2709,    9, 15, 55166,    9, 16,  3721,   //  9,15 
+ 10,  0, 54833,   10,  1,  3860,   11,  0,  4046,   11,  1,  2797,   // 10, 0 
+ 10,  1, 55958,   10,  2,  3472,   11,  1,  3604,   11,  2,  2502,   // 10, 1 
+ 10,  2, 57095,   10,  3,  3074,   11,  2,  3161,   11,  3,  2206,   // 10, 2 
+ 10,  3, 58233,   10,  4,  2673,   11,  3,  2722,   11,  4,  1908,   // 10, 3 
+ 10,  4, 59345,   10,  5,  2276,   11,  4,  2297,   11,  5,  1618,   // 10, 4 
+ 10,  5, 60381,   10,  6,  1904,   11,  5,  1904,   11,  6,  1347,   // 10, 5 
+ 10,  6, 61243,   10,  7,  1593,   11,  6,  1578,   11,  7,  1122,   // 10, 6 
+ 10,  7, 61767,   10,  8,  1405,   11,  7,  1380,   11,  8,   984,   // 10, 7 
+  9,  8,  1380,    9,  9,   985,   10,  8, 61767,   10,  9,  1404,   // 10, 8 
+  9,  9,  1579,    9, 10,  1121,   10,  9, 61243,   10, 10,  1593,   // 10, 9 
+  9, 10,  1904,    9, 11,  1347,   10, 10, 60381,   10, 11,  1904,   // 10,10 
+  9, 11,  2297,    9, 12,  1617,   10, 11, 59346,   10, 12,  2276,   // 10,11 
+  9, 12,  2723,    9, 13,  1908,   10, 12, 58234,   10, 13,  2671,   // 10,12 
+  9, 13,  3161,    9, 14,  2205,   10, 13, 57096,   10, 14,  3074,   // 10,13 
+  9, 14,  3605,    9, 15,  2502,   10, 14, 55959,   10, 15,  3470,   // 10,14 
+  9, 15,  4047,    9, 16,  2796,   10, 15, 54835,   10, 16,  3858,   // 10,15 
+ 11,  0, 54376,   11,  1,  4043,   12,  0,  4200,   12,  1,  2917,   // 11, 0 
+ 11,  1, 55434,   11,  2,  3678,   12,  1,  3783,   12,  2,  2641,   // 11, 1 
+ 11,  2, 56486,   11,  3,  3311,   12,  2,  3373,   12,  3,  2366,   // 11, 2 
+ 11,  3, 57514,   11,  4,  2950,   12,  3,  2976,   12,  4,  2096,   // 11, 3 
+ 11,  4, 58484,   11,  5,  2605,   12,  4,  2604,   12,  5,  1843,   // 11, 4 
+ 11,  5, 59346,   11,  6,  2297,   12,  5,  2276,   12,  6,  1617,   // 11, 5 
+ 11,  6, 60018,   11,  7,  2057,   12,  6,  2020,   12,  7,  1441,   // 11, 6 
+ 11,  7, 60402,   11,  8,  1922,   12,  7,  1871,   12,  8,  1341,   // 11, 7 
+ 10,  8,  1871,   10,  9,  1341,   11,  8, 60402,   11,  9,  1922,   // 11, 8 
+ 10,  9,  2020,   10, 10,  1442,   11,  9, 60017,   11, 10,  2057,   // 11, 9 
+ 10, 10,  2276,   10, 11,  1617,   11, 10, 59345,   11, 11,  2298,   // 11,10 
+ 10, 11,  2605,   10, 12,  1843,   11, 11, 58484,   11, 12,  2604,   // 11,11 
+ 10, 12,  2977,   10, 13,  2096,   11, 12, 57514,   11, 13,  2949,   // 11,12 
+ 10, 13,  3374,   10, 14,  2365,   11, 13, 56487,   11, 14,  3310,   // 11,13 
+ 10, 14,  3785,   10, 15,  2640,   11, 14, 55435,   11, 15,  3676,   // 11,14 
+ 10, 15,  4201,   10, 16,  2916,   11, 15, 54378,   11, 16,  4041,   // 11,15 
+ 12,  0, 53814,   12,  1,  4267,   13,  0,  4390,   13,  1,  3065,   // 12, 0 
+ 12,  1, 54796,   12,  2,  3929,   13,  1,  4003,   13,  2,  2808,   // 12, 1 
+ 12,  2, 55756,   12,  3,  3595,   13,  2,  3628,   13,  3,  2557,   // 12, 2 
+ 12,  3, 56673,   12,  4,  3274,   13,  3,  3273,   13,  4,  2316,   // 12, 3 
+ 12,  4, 57514,   12,  5,  2977,   13,  4,  2948,   13,  5,  2097,   // 12, 4 
+ 12,  5, 58234,   12,  6,  2723,   13,  5,  2672,   13,  6,  1907,   // 12, 5 
+ 12,  6, 58775,   12,  7,  2532,   13,  6,  2463,   13,  7,  1766,   // 12, 6 
+ 12,  7, 59077,   12,  8,  2430,   13,  7,  2342,   13,  8,  1687,   // 12, 7 
+ 11,  8,  2343,   11,  9,  1687,   12,  8, 59076,   12,  9,  2430,   // 12, 8 
+ 11,  9,  2464,   11, 10,  1767,   12,  9, 58774,   12, 10,  2531,   // 12, 9 
+ 11, 10,  2673,   11, 11,  1908,   12, 10, 58233,   12, 11,  2722,   // 12,10 
+ 11, 11,  2950,   11, 12,  2096,   12, 11, 57514,   12, 12,  2976,   // 12,11 
+ 11, 12,  3274,   11, 13,  2317,   12, 12, 56673,   12, 13,  3272,   // 12,12 
+ 11, 13,  3630,   11, 14,  2556,   12, 13, 55756,   12, 14,  3594,   // 12,13 
+ 11, 14,  4005,   11, 15,  2808,   12, 14, 54796,   12, 15,  3927,   // 12,14 
+ 11, 15,  4392,   11, 16,  3064,   12, 15, 53815,   12, 16,  4265,   // 12,15 
+ 13,  0, 53168,   13,  1,  4523,   14,  0,  4610,   14,  1,  3235,   // 13, 0 
+ 13,  1, 54071,   13,  2,  4214,   14,  1,  4253,   14,  2,  2998,   // 13, 1 
+ 13,  2, 54941,   13,  3,  3913,   14,  2,  3911,   14,  3,  2771,   // 13, 2 
+ 13,  3, 55756,   13,  4,  3630,   14,  3,  3594,   14,  4,  2556,   // 13, 3 
+ 13,  4, 56487,   13,  5,  3374,   14,  4,  3310,   14,  5,  2365,   // 13, 4 
+ 13,  5, 57096,   13,  6,  3161,   14,  5,  3073,   14,  6,  2206,   // 13, 5 
+ 13,  6, 57545,   13,  7,  3007,   14,  6,  2897,   14,  7,  2087,   // 13, 6 
+ 13,  7, 57795,   13,  8,  2926,   14,  7,  2794,   14,  8,  2021,   // 13, 7 
+ 12,  8,  2795,   12,  9,  2022,   13,  8, 57793,   13,  9,  2926,   // 13, 8 
+ 12,  9,  2898,   12, 10,  2088,   13,  9, 57544,   13, 10,  3006,   // 13, 9 
+ 12, 10,  3074,   12, 11,  2205,   13, 10, 57095,   13, 11,  3162,   // 13,10 
+ 12, 11,  3311,   12, 12,  2365,   13, 11, 56486,   13, 12,  3374,   // 13,11 
+ 12, 12,  3595,   12, 13,  2557,   13, 12, 55756,   13, 13,  3628,   // 13,12 
+ 12, 13,  3913,   12, 14,  2770,   13, 13, 54941,   13, 14,  3912,   // 13,13 
+ 12, 14,  4255,   12, 15,  2998,   13, 14, 54072,   13, 15,  4211,   // 13,14 
+ 12, 15,  4612,   12, 16,  3235,   13, 15, 53168,   13, 16,  4521,   // 13,15 
+ 14,  0, 52457,   14,  1,  4806,   15,  0,  4851,   15,  1,  3422,   // 14, 0 
+ 14,  1, 53285,   14,  2,  4525,   15,  1,  4522,   15,  2,  3204,   // 14, 1 
+ 14,  2, 54072,   14,  3,  4255,   15,  2,  4212,   15,  3,  2997,   // 14, 2 
+ 14,  3, 54796,   14,  4,  4005,   15,  3,  3927,   15,  4,  2808,   // 14, 3 
+ 14,  4, 55435,   14,  5,  3785,   15,  4,  3677,   15,  5,  2639,   // 14, 4 
+ 14,  5, 55959,   14,  6,  3605,   15,  5,  3470,   15,  6,  2502,   // 14, 5 
+ 14,  6, 56340,   14,  7,  3477,   15,  6,  3317,   15,  7,  2402,   // 14, 6 
+ 14,  7, 56554,   14,  8,  3411,   15,  7,  3225,   15,  8,  2346,   // 14, 7 
+ 13,  8,  3227,   13,  9,  2346,   14,  8, 56552,   14,  9,  3411,   // 14, 8 
+ 13,  9,  3319,   13, 10,  2403,   14,  9, 56339,   14, 10,  3475,   // 14, 9 
+ 13, 10,  3472,   13, 11,  2503,   14, 10, 55958,   14, 11,  3603,   // 14,10 
+ 13, 11,  3678,   13, 12,  2640,   14, 11, 55434,   14, 12,  3784,   // 14,11 
+ 13, 12,  3929,   13, 13,  2808,   14, 12, 54796,   14, 13,  4003,   // 14,12 
+ 13, 13,  4214,   13, 14,  2998,   14, 13, 54071,   14, 14,  4253,   // 14,13 
+ 13, 14,  4525,   13, 15,  3204,   14, 14, 53285,   14, 15,  4522,   // 14,14 
+ 13, 15,  4854,   13, 16,  3421,   14, 15, 52457,   14, 16,  4804,   // 14,15 
+ 15,  0, 51699,   15,  1,  5110,   16,  0,  5106,   16,  1,  3621,   // 15, 0 
+ 15,  1, 52457,   15,  2,  4854,   16,  1,  4803,   16,  2,  3422,   // 15, 1 
+ 15,  2, 53168,   15,  3,  4612,   16,  2,  4521,   16,  3,  3235,   // 15, 2 
+ 15,  3, 53815,   15,  4,  4392,   16,  3,  4264,   16,  4,  3065,   // 15, 3 
+ 15,  4, 54378,   15,  5,  4201,   16,  4,  4041,   16,  5,  2916,   // 15, 4 
+ 15,  5, 54835,   15,  6,  4047,   16,  5,  3858,   16,  6,  2796,   // 15, 5 
+ 15,  6, 55166,   15,  7,  3940,   16,  6,  3722,   16,  7,  2708,   // 15, 6 
+ 15,  7, 55354,   15,  8,  3885,   16,  7,  3638,   16,  8,  2659,   // 15, 7 
+ 14,  8,  3640,   14,  9,  2659,   15,  8, 55352,   15,  9,  3885,   // 15, 8 
+ 14,  9,  3724,   14, 10,  2709,   15,  9, 55164,   15, 10,  3939,   // 15, 9 
+ 14, 10,  3860,   14, 11,  2797,   15, 10, 54833,   15, 11,  4046,   // 15,10 
+ 14, 11,  4043,   14, 12,  2917,   15, 11, 54376,   15, 12,  4200,   // 15,11 
+ 14, 12,  4267,   14, 13,  3065,   15, 12, 53814,   15, 13,  4390,   // 15,12 
+ 14, 13,  4523,   14, 14,  3235,   15, 13, 53168,   15, 14,  4610,   // 15,13 
+ 14, 14,  4806,   14, 15,  3422,   15, 14, 52457,   15, 15,  4851,   // 15,14 
+ 14, 15,  5110,   14, 16,  3621,   15, 15, 51699,   15, 16,  5106,   // 15,15 
+ // angle of 1.0 degrees
+  0, -1,  8769,    0,  0, 41693,    1, -1,  6280,    1,  0,  8794,   //  0, 0 
+  0,  0,  8452,    0,  1, 42821,    1,  0,  5975,    1,  1,  8288,   //  0, 1 
+  0,  1,  8141,    0,  2, 43900,    1,  1,  5684,    1,  2,  7811,   //  0, 2 
+  0,  2,  7848,    0,  3, 44901,    1,  2,  5413,    1,  3,  7374,   //  0, 3 
+  0,  3,  7587,    0,  4, 45791,    1,  3,  5172,    1,  4,  6986,   //  0, 4 
+  0,  4,  7374,    0,  5, 46532,    1,  4,  4971,    1,  5,  6659,   //  0, 5 
+  0,  5,  7227,    0,  6, 47086,    1,  5,  4818,    1,  6,  6405,   //  0, 6 
+  0,  6,  7158,    0,  7, 47426,    1,  6,  4722,    1,  7,  6230,   //  0, 7 
+ -1,  7,  4718,   -1,  8,  6217,    0,  7,  7161,    0,  8, 47440,   //  0, 8 
+ -1,  8,  4814,   -1,  9,  6391,    0,  8,  7233,    0,  9, 47098,   //  0, 9 
+ -1,  9,  4967,   -1, 10,  6644,    0,  9,  7383,    0, 10, 46542,   //  0,10 
+ -1, 10,  5169,   -1, 11,  6970,    0, 10,  7599,    0, 11, 45798,   //  0,11 
+ -1, 11,  5410,   -1, 12,  7356,    0, 11,  7863,    0, 12, 44907,   //  0,12 
+ -1, 12,  5682,   -1, 13,  7791,    0, 12,  8159,    0, 13, 43904,   //  0,13 
+ -1, 13,  5974,   -1, 14,  8265,    0, 13,  8474,    0, 14, 42823,   //  0,14 
+ -1, 14,  6280,   -1, 15,  8769,    0, 14,  8795,    0, 15, 41692,   //  0,15 
+  1, -1,  8265,    1,  0, 42823,    2, -1,  5974,    2,  0,  8474,   //  1, 0 
+  1,  0,  7901,    1,  1, 44074,    2,  0,  5640,    2,  1,  7921,   //  1, 1 
+  1,  1,  7539,    1,  2, 45286,    2,  1,  5316,    2,  2,  7395,   //  1, 2 
+  1,  2,  7191,    1,  3, 46427,    2,  2,  5011,    2,  3,  6907,   //  1, 3 
+  1,  3,  6875,    1,  4, 47453,    2,  3,  4736,    2,  4,  6472,   //  1, 4 
+  1,  4,  6613,    1,  5, 48314,    2,  4,  4505,    2,  5,  6104,   //  1, 5 
+  1,  5,  6425,    1,  6, 48960,    2,  5,  4330,    2,  6,  5821,   //  1, 6 
+  1,  6,  6332,    1,  7, 49347,    2,  6,  4224,    2,  7,  5633,   //  1, 7 
+  0,  7,  4221,    0,  8,  5623,    1,  7,  6335,    1,  8, 49357,   //  1, 8 
+  0,  8,  4327,    0,  9,  5809,    1,  8,  6430,    1,  9, 48970,   //  1, 9 
+  0,  9,  4502,    0, 10,  6092,    1,  9,  6620,    1, 10, 48322,   //  1,10 
+  0, 10,  4734,    0, 11,  6458,    1, 10,  6886,    1, 11, 47458,   //  1,11 
+  0, 11,  5009,    0, 12,  6892,    1, 11,  7204,    1, 12, 46431,   //  1,12 
+  0, 12,  5315,    0, 13,  7378,    1, 12,  7555,    1, 13, 45288,   //  1,13 
+  0, 13,  5640,    0, 14,  7901,    1, 13,  7921,    1, 14, 44074,   //  1,14 
+  0, 14,  5975,    0, 15,  8452,    1, 14,  8288,    1, 15, 42821,   //  1,15 
+  2, -1,  7791,    2,  0, 43904,    3, -1,  5682,    3,  0,  8159,   //  2, 0 
+  2,  0,  7378,    2,  1, 45288,    3,  0,  5315,    3,  1,  7555,   //  2, 1 
+  2,  1,  6959,    2,  2, 46650,    3,  1,  4954,    3,  2,  6973,   //  2, 2 
+  2,  2,  6549,    2,  3, 47953,    3,  2,  4608,    3,  3,  6426,   //  2, 3 
+  2,  3,  6168,    2,  4, 49147,    3,  3,  4291,    3,  4,  5930,   //  2, 4 
+  2,  4,  5842,    2,  5, 50165,    3,  4,  4020,    3,  5,  5509,   //  2, 5 
+  2,  5,  5602,    2,  6, 50935,    3,  5,  3815,    3,  6,  5184,   //  2, 6 
+  2,  6,  5478,    2,  7, 51387,    3,  6,  3693,    3,  7,  4978,   //  2, 7 
+  1,  7,  3691,    1,  8,  4970,    2,  7,  5480,    2,  8, 51395,   //  2, 8 
+  1,  8,  3813,    1,  9,  5175,    2,  8,  5606,    2,  9, 50942,   //  2, 9 
+  1,  9,  4019,    1, 10,  5499,    2,  9,  5848,    2, 10, 50170,   //  2,10 
+  1, 10,  4290,    1, 11,  5920,    2, 10,  6176,    2, 11, 49150,   //  2,11 
+  1, 11,  4607,    1, 12,  6414,    2, 11,  6560,    2, 12, 47955,   //  2,12 
+  1, 12,  4954,    1, 13,  6959,    2, 12,  6973,    2, 13, 46650,   //  2,13 
+  1, 13,  5316,    1, 14,  7539,    2, 13,  7395,    2, 14, 45286,   //  2,14 
+  1, 14,  5684,    1, 15,  8141,    2, 14,  7812,    2, 15, 43899,   //  2,15 
+  3, -1,  7356,    3,  0, 44907,    4, -1,  5410,    4,  0,  7863,   //  3, 0 
+  3,  0,  6892,    3,  1, 46430,    4,  0,  5009,    4,  1,  7205,   //  3, 1 
+  3,  1,  6414,    3,  2, 47955,    4,  1,  4607,    4,  2,  6560,   //  3, 2 
+  3,  2,  5934,    3,  3, 49445,    4,  2,  4214,    4,  3,  5943,   //  3, 3 
+  3,  3,  5474,    3,  4, 50843,    4,  3,  3846,    4,  4,  5373,   //  3, 4 
+  3,  4,  5069,    3,  5, 52066,    4,  4,  3523,    4,  5,  4878,   //  3, 5 
+  3,  5,  4759,    3,  6, 53008,    4,  5,  3274,    4,  6,  4495,   //  3, 6 
+  3,  6,  4592,    3,  7, 53557,    4,  6,  3128,    4,  7,  4259,   //  3, 7 
+  2,  7,  3126,    2,  8,  4254,    3,  7,  4594,    3,  8, 53562,   //  3, 8 
+  2,  8,  3273,    2,  9,  4489,    3,  8,  4762,    3,  9, 53012,   //  3, 9 
+  2,  9,  3522,    2, 10,  4872,    3,  9,  5073,    3, 10, 52069,   //  3,10 
+  2, 10,  3845,    2, 11,  5365,    3, 10,  5481,    3, 11, 50845,   //  3,11 
+  2, 11,  4214,    2, 12,  5934,    3, 11,  5943,    3, 12, 49445,   //  3,12 
+  2, 12,  4608,    2, 13,  6549,    3, 12,  6426,    3, 13, 47953,   //  3,13 
+  2, 13,  5011,    2, 14,  7191,    3, 13,  6908,    3, 14, 46426,   //  3,14 
+  2, 14,  5413,    2, 15,  7848,    3, 14,  7374,    3, 15, 44901,   //  3,15 
+  4, -1,  6970,    4,  0, 45799,    5, -1,  5169,    5,  0,  7598,   //  4, 0 
+  4,  0,  6458,    4,  1, 47458,    5,  0,  4734,    5,  1,  6886,   //  4, 1 
+  4,  1,  5920,    4,  2, 49150,    5,  1,  4290,    5,  2,  6176,   //  4, 2 
+  4,  2,  5365,    4,  3, 50844,    5,  2,  3845,    5,  3,  5482,   //  4, 3 
+  4,  3,  4816,    4,  4, 52484,    5,  3,  3415,    5,  4,  4821,   //  4, 4 
+  4,  4,  4309,    4,  5, 53973,    5,  4,  3023,    5,  5,  4231,   //  4, 5 
+  4,  5,  3902,    4,  6, 55164,    5,  5,  2711,    5,  6,  3759,   //  4, 6 
+  4,  6,  3671,    4,  7, 55867,    5,  6,  2525,    5,  7,  3473,   //  4, 7 
+  3,  7,  2524,    3,  8,  3469,    4,  7,  3672,    4,  8, 55871,   //  4, 8 
+  3,  8,  2710,    3,  9,  3755,    4,  8,  3904,    4,  9, 55167,   //  4, 9 
+  3,  9,  3023,    3, 10,  4226,    4,  9,  4313,    4, 10, 53974,   //  4,10 
+  3, 10,  3415,    3, 11,  4816,    4, 10,  4822,    4, 11, 52483,   //  4,11 
+  3, 11,  3846,    3, 12,  5474,    4, 11,  5373,    4, 12, 50843,   //  4,12 
+  3, 12,  4291,    3, 13,  6168,    4, 12,  5930,    4, 13, 49147,   //  4,13 
+  3, 13,  4736,    3, 14,  6875,    4, 13,  6472,    4, 14, 47453,   //  4,14 
+  3, 14,  5172,    3, 15,  7587,    4, 14,  6986,    4, 15, 45791,   //  4,15 
+  5, -1,  6644,    5,  0, 46541,    6, -1,  4967,    6,  0,  7384,   //  5, 0 
+  5,  0,  6092,    5,  1, 48322,    6,  0,  4502,    6,  1,  6620,   //  5, 1 
+  5,  1,  5499,    5,  2, 50171,    6,  1,  4019,    6,  2,  5847,   //  5, 2 
+  5,  2,  4872,    5,  3, 52069,    6,  2,  3522,    6,  3,  5073,   //  5, 3 
+  5,  3,  4226,    5,  4, 53975,    6,  3,  3023,    6,  4,  4312,   //  5, 4 
+  5,  4,  3595,    5,  5, 55798,    6,  4,  2546,    6,  5,  3597,   //  5, 5 
+  5,  5,  3050,    5,  6, 57353,    6,  5,  2138,    6,  6,  2995,   //  5, 6 
+  5,  6,  2713,    5,  7, 58322,    6,  6,  1884,    6,  7,  2617,   //  5, 7 
+  4,  7,  1884,    4,  8,  2615,    5,  7,  2714,    5,  8, 58323,   //  5, 8 
+  4,  8,  2138,    4,  9,  2993,    5,  8,  3051,    5,  9, 57354,   //  5, 9 
+  4,  9,  2546,    4, 10,  3595,    5,  9,  3598,    5, 10, 55797,   //  5,10 
+  4, 10,  3023,    4, 11,  4309,    5, 10,  4230,    5, 11, 53974,   //  5,11 
+  4, 11,  3523,    4, 12,  5069,    5, 11,  4879,    5, 12, 52065,   //  5,12 
+  4, 12,  4020,    4, 13,  5842,    5, 12,  5508,    5, 13, 50166,   //  5,13 
+  4, 13,  4505,    4, 14,  6613,    5, 13,  6104,    5, 14, 48314,   //  5,14 
+  4, 14,  4971,    4, 15,  7374,    5, 14,  6659,    5, 15, 46532,   //  5,15 
+  6, -1,  6391,    6,  0, 47098,    7, -1,  4814,    7,  0,  7233,   //  6, 0 
+  6,  0,  5809,    6,  1, 48969,    7,  0,  4327,    7,  1,  6431,   //  6, 1 
+  6,  1,  5175,    6,  2, 50942,    7,  1,  3813,    7,  2,  5606,   //  6, 2 
+  6,  2,  4489,    6,  3, 53012,    7,  2,  3273,    7,  3,  4762,   //  6, 3 
+  6,  3,  3755,    6,  4, 55166,    7,  3,  2710,    7,  4,  3905,   //  6, 4 
+  6,  4,  2993,    6,  5, 57354,    7,  4,  2138,    7,  5,  3051,   //  6, 5 
+  6,  5,  2258,    6,  6, 59422,    7,  5,  1597,    7,  6,  2259,   //  6, 6 
+  6,  6,  1726,    6,  7, 60905,    7,  6,  1210,    7,  7,  1695,   //  6, 7 
+  5,  7,  1209,    5,  8,  1695,    6,  7,  1726,    6,  8, 60906,   //  6, 8 
+  5,  8,  1597,    5,  9,  2258,    6,  8,  2259,    6,  9, 59422,   //  6, 9 
+  5,  9,  2138,    5, 10,  3050,    6,  9,  2995,    6, 10, 57353,   //  6,10 
+  5, 10,  2711,    5, 11,  3902,    6, 10,  3759,    6, 11, 55164,   //  6,11 
+  5, 11,  3274,    5, 12,  4759,    6, 11,  4495,    6, 12, 53008,   //  6,12 
+  5, 12,  3815,    5, 13,  5602,    6, 12,  5184,    6, 13, 50935,   //  6,13 
+  5, 13,  4330,    5, 14,  6425,    6, 13,  5820,    6, 14, 48961,   //  6,14 
+  5, 14,  4818,    5, 15,  7227,    6, 14,  6405,    6, 15, 47086,   //  6,15 
+  7, -1,  6217,    7,  0, 47440,    8, -1,  4718,    8,  0,  7161,   //  7, 0 
+  7,  0,  5623,    7,  1, 49358,    8,  0,  4221,    8,  1,  6334,   //  7, 1 
+  7,  1,  4970,    7,  2, 51395,    8,  1,  3691,    8,  2,  5480,   //  7, 2 
+  7,  2,  4254,    7,  3, 53562,    8,  2,  3126,    8,  3,  4594,   //  7, 3 
+  7,  3,  3469,    7,  4, 55870,    8,  3,  2524,    8,  4,  3673,   //  7, 4 
+  7,  4,  2615,    7,  5, 58324,    8,  4,  1884,    8,  5,  2713,   //  7, 5 
+  7,  5,  1695,    7,  6, 60906,    8,  5,  1209,    8,  6,  1726,   //  7, 6 
+  7,  6,   789,    7,  7, 63399,    8,  6,   558,    8,  7,   790,   //  7, 7 
+  6,  7,   558,    6,  8,   789,    7,  7,   789,    7,  8, 63400,   //  7, 8 
+  6,  8,  1210,    6,  9,  1726,    7,  8,  1695,    7,  9, 60905,   //  7, 9 
+  6,  9,  1884,    6, 10,  2713,    7,  9,  2616,    7, 10, 58323,   //  7,10 
+  6, 10,  2525,    6, 11,  3671,    7, 10,  3473,    7, 11, 55867,   //  7,11 
+  6, 11,  3128,    6, 12,  4592,    7, 11,  4259,    7, 12, 53557,   //  7,12 
+  6, 12,  3693,    6, 13,  5478,    7, 12,  4978,    7, 13, 51387,   //  7,13 
+  6, 13,  4224,    6, 14,  6332,    7, 13,  5633,    7, 14, 49347,   //  7,14 
+  6, 14,  4722,    6, 15,  7158,    7, 14,  6230,    7, 15, 47426,   //  7,15 
+  8,  0, 47426,    8,  1,  6230,    9,  0,  7158,    9,  1,  4722,   //  8, 0 
+  8,  1, 49347,    8,  2,  5633,    9,  1,  6332,    9,  2,  4224,   //  8, 1 
+  8,  2, 51387,    8,  3,  4978,    9,  2,  5478,    9,  3,  3693,   //  8, 2 
+  8,  3, 53557,    8,  4,  4259,    9,  3,  4592,    9,  4,  3128,   //  8, 3 
+  8,  4, 55867,    8,  5,  3473,    9,  4,  3671,    9,  5,  2525,   //  8, 4 
+  8,  5, 58322,    8,  6,  2616,    9,  5,  2713,    9,  6,  1885,   //  8, 5 
+  8,  6, 60905,    8,  7,  1695,    9,  6,  1726,    9,  7,  1210,   //  8, 6 
+  8,  7, 63399,    8,  8,   789,    9,  7,   789,    9,  8,   559,   //  8, 7 
+  7,  8,   789,    7,  9,   558,    8,  8, 63399,    8,  9,   790,   //  8, 8 
+  7,  9,  1726,    7, 10,  1209,    8,  9, 60906,    8, 10,  1695,   //  8, 9 
+  7, 10,  2714,    7, 11,  1884,    8, 10, 58324,    8, 11,  2614,   //  8,10 
+  7, 11,  3672,    7, 12,  2524,    8, 11, 55870,    8, 12,  3470,   //  8,11 
+  7, 12,  4594,    7, 13,  3126,    8, 12, 53562,    8, 13,  4254,   //  8,12 
+  7, 13,  5480,    7, 14,  3691,    8, 13, 51395,    8, 14,  4970,   //  8,13 
+  7, 14,  6335,    7, 15,  4221,    8, 14, 49358,    8, 15,  5622,   //  8,14 
+  7, 15,  7161,    7, 16,  4718,    8, 15, 47440,    8, 16,  6217,   //  8,15 
+  9,  0, 47086,    9,  1,  6405,   10,  0,  7227,   10,  1,  4818,   //  9, 0 
+  9,  1, 48960,    9,  2,  5820,   10,  1,  6425,   10,  2,  4331,   //  9, 1 
+  9,  2, 50935,    9,  3,  5184,   10,  2,  5602,   10,  3,  3815,   //  9, 2 
+  9,  3, 53008,    9,  4,  4495,   10,  3,  4759,   10,  4,  3274,   //  9, 3 
+  9,  4, 55164,    9,  5,  3759,   10,  4,  3902,   10,  5,  2711,   //  9, 4 
+  9,  5, 57353,    9,  6,  2995,   10,  5,  3050,   10,  6,  2138,   //  9, 5 
+  9,  6, 59422,    9,  7,  2259,   10,  6,  2258,   10,  7,  1597,   //  9, 6 
+  9,  7, 60906,    9,  8,  1726,   10,  7,  1695,   10,  8,  1209,   //  9, 7 
+  8,  8,  1695,    8,  9,  1210,    9,  8, 60905,    9,  9,  1726,   //  9, 8 
+  8,  9,  2259,    8, 10,  1597,    9,  9, 59422,    9, 10,  2258,   //  9, 9 
+  8, 10,  3051,    8, 11,  2138,    9, 10, 57354,    9, 11,  2993,   //  9,10 
+  8, 11,  3904,    8, 12,  2710,    9, 11, 55166,    9, 12,  3756,   //  9,11 
+  8, 12,  4762,    8, 13,  3273,    9, 12, 53012,    9, 13,  4489,   //  9,12 
+  8, 13,  5606,    8, 14,  3813,    9, 13, 50942,    9, 14,  5175,   //  9,13 
+  8, 14,  6430,    8, 15,  4327,    9, 14, 48969,    9, 15,  5810,   //  9,14 
+  8, 15,  7233,    8, 16,  4814,    9, 15, 47098,    9, 16,  6391,   //  9,15 
+ 10,  0, 46532,   10,  1,  6659,   11,  0,  7374,   11,  1,  4971,   // 10, 0 
+ 10,  1, 48314,   10,  2,  6104,   11,  1,  6613,   11,  2,  4505,   // 10, 1 
+ 10,  2, 50165,   10,  3,  5508,   11,  2,  5842,   11,  3,  4021,   // 10, 2 
+ 10,  3, 52066,   10,  4,  4879,   11,  3,  5069,   11,  4,  3522,   // 10, 3 
+ 10,  4, 53973,   10,  5,  4230,   11,  4,  4309,   11,  5,  3024,   // 10, 4 
+ 10,  5, 55798,   10,  6,  3598,   11,  5,  3595,   11,  6,  2545,   // 10, 5 
+ 10,  6, 57354,   10,  7,  3051,   11,  6,  2993,   11,  7,  2138,   // 10, 6 
+ 10,  7, 58324,   10,  8,  2714,   11,  7,  2615,   11,  8,  1883,   // 10, 7 
+  9,  8,  2616,    9,  9,  1884,   10,  8, 58322,   10,  9,  2714,   // 10, 8 
+  9,  9,  2995,    9, 10,  2138,   10,  9, 57353,   10, 10,  3050,   // 10, 9 
+  9, 10,  3598,    9, 11,  2546,   10, 10, 55798,   10, 11,  3594,   // 10,10 
+  9, 11,  4313,    9, 12,  3023,   10, 11, 53975,   10, 12,  4225,   // 10,11 
+  9, 12,  5073,    9, 13,  3522,   10, 12, 52069,   10, 13,  4872,   // 10,12 
+  9, 13,  5848,    9, 14,  4019,   10, 13, 50171,   10, 14,  5498,   // 10,13 
+  9, 14,  6620,    9, 15,  4502,   10, 14, 48322,   10, 15,  6092,   // 10,14 
+  9, 15,  7383,    9, 16,  4967,   10, 15, 46541,   10, 16,  6645,   // 10,15 
+ 11,  0, 45791,   11,  1,  6986,   12,  0,  7587,   12,  1,  5172,   // 11, 0 
+ 11,  1, 47453,   11,  2,  6472,   12,  1,  6875,   12,  2,  4736,   // 11, 1 
+ 11,  2, 49147,   11,  3,  5930,   12,  2,  6168,   12,  3,  4291,   // 11, 2 
+ 11,  3, 50843,   11,  4,  5373,   12,  3,  5474,   12,  4,  3846,   // 11, 3 
+ 11,  4, 52484,   11,  5,  4822,   12,  4,  4816,   12,  5,  3414,   // 11, 4 
+ 11,  5, 53975,   11,  6,  4313,   12,  5,  4226,   12,  6,  3022,   // 11, 5 
+ 11,  6, 55166,   11,  7,  3904,   12,  6,  3755,   12,  7,  2711,   // 11, 6 
+ 11,  7, 55870,   11,  8,  3672,   12,  7,  3469,   12,  8,  2525,   // 11, 7 
+ 10,  8,  3473,   10,  9,  2525,   11,  8, 55867,   11,  9,  3671,   // 11, 8 
+ 10,  9,  3759,   10, 10,  2711,   11,  9, 55164,   11, 10,  3902,   // 11, 9 
+ 10, 10,  4230,   10, 11,  3023,   11, 10, 53973,   11, 11,  4310,   // 11,10 
+ 10, 11,  4822,   10, 12,  3415,   11, 11, 52484,   11, 12,  4815,   // 11,11 
+ 10, 12,  5481,   10, 13,  3845,   11, 12, 50844,   11, 13,  5366,   // 11,12 
+ 10, 13,  6176,   10, 14,  4290,   11, 13, 49150,   11, 14,  5920,   // 11,13 
+ 10, 14,  6886,   10, 15,  4734,   11, 14, 47458,   11, 15,  6458,   // 11,14 
+ 10, 15,  7599,   10, 16,  5169,   11, 15, 45799,   11, 16,  6969,   // 11,15 
+ 12,  0, 44901,   12,  1,  7374,   13,  0,  7848,   13,  1,  5413,   // 12, 0 
+ 12,  1, 46427,   12,  2,  6908,   13,  1,  7191,   13,  2,  5010,   // 12, 1 
+ 12,  2, 47953,   12,  3,  6426,   13,  2,  6549,   13,  3,  4608,   // 12, 2 
+ 12,  3, 49445,   12,  4,  5943,   13,  3,  5934,   13,  4,  4214,   // 12, 3 
+ 12,  4, 50844,   12,  5,  5481,   13,  4,  5365,   13,  5,  3846,   // 12, 4 
+ 12,  5, 52069,   12,  6,  5073,   13,  5,  4872,   13,  6,  3522,   // 12, 5 
+ 12,  6, 53012,   12,  7,  4762,   13,  6,  4489,   13,  7,  3273,   // 12, 6 
+ 12,  7, 53562,   12,  8,  4594,   13,  7,  4254,   13,  8,  3126,   // 12, 7 
+ 11,  8,  4259,   11,  9,  3128,   12,  8, 53557,   12,  9,  4592,   // 12, 8 
+ 11,  9,  4495,   11, 10,  3274,   12,  9, 53008,   12, 10,  4759,   // 12, 9 
+ 11, 10,  4879,   11, 11,  3523,   12, 10, 52066,   12, 11,  5068,   // 12,10 
+ 11, 11,  5373,   11, 12,  3846,   12, 11, 50843,   12, 12,  5474,   // 12,11 
+ 11, 12,  5943,   11, 13,  4214,   12, 12, 49445,   12, 13,  5934,   // 12,12 
+ 11, 13,  6560,   11, 14,  4607,   12, 13, 47955,   12, 14,  6414,   // 12,13 
+ 11, 14,  7204,   11, 15,  5009,   12, 14, 46430,   12, 15,  6893,   // 12,14 
+ 11, 15,  7863,   11, 16,  5410,   12, 15, 44907,   12, 16,  7356,   // 12,15 
+ 13,  0, 43900,   13,  1,  7812,   14,  0,  8141,   14,  1,  5683,   // 13, 0 
+ 13,  1, 45286,   13,  2,  7395,   14,  1,  7539,   14,  2,  5316,   // 13, 1 
+ 13,  2, 46650,   13,  3,  6973,   14,  2,  6959,   14,  3,  4954,   // 13, 2 
+ 13,  3, 47955,   13,  4,  6560,   14,  3,  6414,   14,  4,  4607,   // 13, 3 
+ 13,  4, 49150,   13,  5,  6176,   14,  4,  5920,   14,  5,  4290,   // 13, 4 
+ 13,  5, 50171,   13,  6,  5848,   14,  5,  5499,   14,  6,  4018,   // 13, 5 
+ 13,  6, 50942,   13,  7,  5606,   14,  6,  5175,   14,  7,  3813,   // 13, 6 
+ 13,  7, 51395,   13,  8,  5480,   14,  7,  4970,   14,  8,  3691,   // 13, 7 
+ 12,  8,  4978,   12,  9,  3693,   13,  8, 51387,   13,  9,  5478,   // 13, 8 
+ 12,  9,  5184,   12, 10,  3815,   13,  9, 50935,   13, 10,  5602,   // 13, 9 
+ 12, 10,  5508,   12, 11,  4020,   13, 10, 50165,   13, 11,  5843,   // 13,10 
+ 12, 11,  5930,   12, 12,  4291,   13, 11, 49147,   13, 12,  6168,   // 13,11 
+ 12, 12,  6426,   12, 13,  4608,   13, 12, 47953,   13, 13,  6549,   // 13,12 
+ 12, 13,  6973,   12, 14,  4954,   13, 13, 46650,   13, 14,  6959,   // 13,13 
+ 12, 14,  7555,   12, 15,  5315,   13, 14, 45288,   13, 15,  7378,   // 13,14 
+ 12, 15,  8159,   12, 16,  5682,   13, 15, 43904,   13, 16,  7791,   // 13,15 
+ 14,  0, 42821,   14,  1,  8288,   15,  0,  8452,   15,  1,  5975,   // 14, 0 
+ 14,  1, 44074,   14,  2,  7921,   15,  1,  7901,   15,  2,  5640,   // 14, 1 
+ 14,  2, 45288,   14,  3,  7555,   15,  2,  7378,   15,  3,  5315,   // 14, 2 
+ 14,  3, 46430,   14,  4,  7204,   15,  3,  6892,   15,  4,  5010,   // 14, 3 
+ 14,  4, 47458,   14,  5,  6886,   15,  4,  6458,   15,  5,  4734,   // 14, 4 
+ 14,  5, 48322,   14,  6,  6620,   15,  5,  6092,   15,  6,  4502,   // 14, 5 
+ 14,  6, 48969,   14,  7,  6430,   15,  6,  5809,   15,  7,  4328,   // 14, 6 
+ 14,  7, 49358,   14,  8,  6335,   15,  7,  5623,   15,  8,  4220,   // 14, 7 
+ 13,  8,  5633,   13,  9,  4224,   14,  8, 49347,   14,  9,  6332,   // 14, 8 
+ 13,  9,  5820,   13, 10,  4330,   14,  9, 48960,   14, 10,  6426,   // 14, 9 
+ 13, 10,  6104,   13, 11,  4505,   14, 10, 48314,   14, 11,  6613,   // 14,10 
+ 13, 11,  6472,   13, 12,  4736,   14, 11, 47453,   14, 12,  6875,   // 14,11 
+ 13, 12,  6908,   13, 13,  5011,   14, 12, 46427,   14, 13,  7190,   // 14,12 
+ 13, 13,  7395,   13, 14,  5316,   14, 13, 45286,   14, 14,  7539,   // 14,13 
+ 13, 14,  7921,   13, 15,  5640,   14, 14, 44074,   14, 15,  7901,   // 14,14 
+ 13, 15,  8474,   13, 16,  5974,   14, 15, 42823,   14, 16,  8265,   // 14,15 
+ 15,  0, 41693,   15,  1,  8795,   16,  0,  8769,   16,  1,  6279,   // 15, 0 
+ 15,  1, 42823,   15,  2,  8474,   16,  1,  8265,   16,  2,  5974,   // 15, 1 
+ 15,  2, 43904,   15,  3,  8159,   16,  2,  7791,   16,  3,  5682,   // 15, 2 
+ 15,  3, 44907,   15,  4,  7863,   16,  3,  7356,   16,  4,  5410,   // 15, 3 
+ 15,  4, 45799,   15,  5,  7599,   16,  4,  6970,   16,  5,  5168,   // 15, 4 
+ 15,  5, 46541,   15,  6,  7383,   16,  5,  6644,   16,  6,  4968,   // 15, 5 
+ 15,  6, 47098,   15,  7,  7233,   16,  6,  6391,   16,  7,  4814,   // 15, 6 
+ 15,  7, 47440,   15,  8,  7161,   16,  7,  6217,   16,  8,  4718,   // 15, 7 
+ 14,  8,  6230,   14,  9,  4722,   15,  8, 47426,   15,  9,  7158,   // 15, 8 
+ 14,  9,  6405,   14, 10,  4818,   15,  9, 47086,   15, 10,  7227,   // 15, 9 
+ 14, 10,  6659,   14, 11,  4971,   15, 10, 46532,   15, 11,  7374,   // 15,10 
+ 14, 11,  6986,   14, 12,  5172,   15, 11, 45791,   15, 12,  7587,   // 15,11 
+ 14, 12,  7374,   14, 13,  5413,   15, 12, 44901,   15, 13,  7848,   // 15,12 
+ 14, 13,  7812,   14, 14,  5684,   15, 13, 43900,   15, 14,  8140,   // 15,13 
+ 14, 14,  8288,   14, 15,  5975,   15, 14, 42821,   15, 15,  8452,   // 15,14 
+ 14, 15,  8795,   14, 16,  6280,   15, 15, 41693,   15, 16,  8768,   // 15,15 
+ // angle of 1.5 degrees
+  0, -1, 11440,    0,  0, 34212,    1, -1,  8358,    1,  0, 11526,   //  0, 0 
+  0,  0, 11192,    0,  1, 35502,    1,  0,  7987,    1,  1, 10855,   //  0, 1 
+  0,  1, 10930,    0,  2, 36756,    1,  1,  7626,    1,  2, 10224,   //  0, 2 
+  0,  2, 10670,    0,  3, 37939,    1,  2,  7285,    1,  3,  9642,   //  0, 3 
+  0,  3, 10430,    0,  4, 39009,    1,  3,  6975,    1,  4,  9122,   //  0, 4 
+  0,  4, 10232,    0,  5, 39918,    1,  4,  6710,    1,  5,  8676,   //  0, 5 
+  0,  5, 10100,    0,  6, 40618,    1,  5,  6502,    1,  6,  8316,   //  0, 6 
+  0,  6, 10052,    0,  7, 41072,    1,  6,  6360,    1,  7,  8052,   //  0, 7 
+ -1,  7,  6346,   -1,  8,  8018,    0,  7, 10066,    0,  8, 41106,   //  0, 8 
+ -1,  8,  6489,   -1,  9,  8278,    0,  8, 10123,    0,  9, 40646,   //  0, 9 
+ -1,  9,  6699,   -1, 10,  8632,    0,  9, 10265,    0, 10, 39940,   //  0,10 
+ -1, 10,  6965,   -1, 11,  9072,    0, 10, 10473,    0, 11, 39026,   //  0,11 
+ -1, 11,  7276,   -1, 12,  9585,    0, 11, 10723,    0, 12, 37952,   //  0,12 
+ -1, 12,  7620,   -1, 13, 10158,    0, 12, 10994,    0, 13, 36764,   //  0,13 
+ -1, 13,  7983,   -1, 14, 10780,    0, 13, 11267,    0, 14, 35506,   //  0,14 
+ -1, 14,  8358,   -1, 15, 11440,    0, 14, 11526,    0, 15, 34212,   //  0,15 
+  1, -1, 10780,    1,  0, 35506,    2, -1,  7983,    2,  0, 11267,   //  1, 0 
+  1,  0, 10467,    1,  1, 36959,    2,  0,  7579,    2,  1, 10531,   //  1, 1 
+  1,  1, 10133,    1,  2, 38390,    2,  1,  7179,    2,  2,  9834,   //  1, 2 
+  1,  2,  9796,    1,  3, 39759,    2,  2,  6797,    2,  3,  9184,   //  1, 3 
+  1,  3,  9478,    1,  4, 41013,    2,  3,  6447,    2,  4,  8598,   //  1, 4 
+  1,  4,  9206,    1,  5, 42087,    2,  4,  6145,    2,  5,  8098,   //  1, 5 
+  1,  5,  9014,    1,  6, 42913,    2,  5,  5910,    2,  6,  7699,   //  1, 6 
+  1,  6,  8929,    1,  7, 43433,    2,  6,  5756,    2,  7,  7418,   //  1, 7 
+  0,  7,  5745,    0,  8,  7390,    1,  7,  8939,    1,  8, 43462,   //  1, 8 
+  0,  8,  5900,    0,  9,  7667,    1,  8,  9032,    1,  9, 42937,   //  1, 9 
+  0,  9,  6137,    0, 10,  8061,    1,  9,  9233,    1, 10, 42105,   //  1,10 
+  0, 10,  6440,    0, 11,  8557,    1, 10,  9513,    1, 11, 41026,   //  1,11 
+  0, 11,  6792,    0, 12,  9135,    1, 11,  9841,    1, 12, 39768,   //  1,12 
+  0, 12,  7177,    0, 13,  9777,    1, 12, 10188,    1, 13, 38394,   //  1,13 
+  0, 13,  7579,    0, 14, 10467,    1, 13, 10532,    1, 14, 36958,   //  1,14 
+  0, 14,  7987,    0, 15, 11192,    1, 14, 10855,    1, 15, 35502,   //  1,15 
+  2, -1, 10158,    2,  0, 36764,    3, -1,  7620,    3,  0, 10994,   //  2, 0 
+  2,  0,  9777,    2,  1, 38394,    3,  0,  7177,    3,  1, 10188,   //  2, 1 
+  2,  1,  9366,    2,  2, 40025,    3,  1,  6732,    3,  2,  9413,   //  2, 2 
+  2,  2,  8941,    2,  3, 41614,    3,  2,  6299,    3,  3,  8682,   //  2, 3 
+  2,  3,  8530,    2,  4, 43096,    3,  3,  5895,    3,  4,  8015,   //  2, 4 
+  2,  4,  8167,    2,  5, 44386,    3,  4,  5543,    3,  5,  7440,   //  2, 5 
+  2,  5,  7899,    2,  6, 45383,    3,  5,  5268,    3,  6,  6986,   //  2, 6 
+  2,  6,  7766,    2,  7, 45995,    3,  6,  5095,    3,  7,  6680,   //  2, 7 
+  1,  7,  5087,    1,  8,  6658,    2,  7,  7773,    2,  8, 46018,   //  2, 8 
+  1,  8,  5261,    1,  9,  6961,    2,  8,  7913,    2,  9, 45401,   //  2, 9 
+  1,  9,  5537,    1, 10,  7411,    2,  9,  8189,    2, 10, 44399,   //  2,10 
+  1, 10,  5891,    1, 11,  7981,    2, 10,  8559,    2, 11, 43105,   //  2,11 
+  1, 11,  6297,    1, 12,  8641,    2, 11,  8979,    2, 12, 41619,   //  2,12 
+  1, 12,  6732,    1, 13,  9366,    2, 12,  9413,    2, 13, 40025,   //  2,13 
+  1, 13,  7179,    1, 14, 10133,    2, 13,  9834,    2, 14, 38390,   //  2,14 
+  1, 14,  7626,    1, 15, 10930,    2, 14, 10224,    2, 15, 36756,   //  2,15 
+  3, -1,  9585,    3,  0, 37951,    4, -1,  7276,    4,  0, 10724,   //  3, 0 
+  3,  0,  9135,    3,  1, 39767,    4,  0,  6792,    4,  1,  9842,   //  3, 1 
+  3,  1,  8641,    3,  2, 41618,    4,  1,  6297,    4,  2,  8980,   //  3, 2 
+  3,  2,  8120,    3,  3, 43461,    4,  2,  5804,    4,  3,  8151,   //  3, 3 
+  3,  3,  7598,    3,  4, 45224,    4,  3,  5331,    4,  4,  7383,   //  3, 4 
+  3,  4,  7121,    3,  5, 46798,    4,  4,  4909,    4,  5,  6708,   //  3, 5 
+  3,  5,  6750,    3,  6, 48037,    4,  5,  4576,    4,  6,  6173,   //  3, 6 
+  3,  6,  6552,    3,  7, 48785,    4,  6,  4372,    4,  7,  5827,   //  3, 7 
+  2,  7,  4366,    2,  8,  5811,    3,  7,  6558,    3,  8, 48801,   //  3, 8 
+  2,  8,  4572,    2,  9,  6154,    3,  8,  6761,    3,  9, 48049,   //  3, 9 
+  2,  9,  4906,    2, 10,  6685,    3,  9,  7138,    3, 10, 46807,   //  3,10 
+  2, 10,  5330,    2, 11,  7356,    3, 10,  7622,    3, 11, 45228,   //  3,11 
+  2, 11,  5804,    2, 12,  8120,    3, 11,  8151,    3, 12, 43461,   //  3,12 
+  2, 12,  6299,    2, 13,  8941,    3, 12,  8681,    3, 13, 41615,   //  3,13 
+  2, 13,  6797,    2, 14,  9796,    3, 13,  9184,    3, 14, 39759,   //  3,14 
+  2, 14,  7285,    2, 15, 10670,    3, 14,  9642,    3, 15, 37939,   //  3,15 
+  4, -1,  9072,    4,  0, 39026,    5, -1,  6965,    5,  0, 10473,   //  4, 0 
+  4,  0,  8557,    4,  1, 41026,    5,  0,  6440,    5,  1,  9513,   //  4, 1 
+  4,  1,  7981,    4,  2, 43105,    5,  1,  5891,    5,  2,  8559,   //  4, 2 
+  4,  2,  7356,    4,  3, 45229,    5,  2,  5330,    5,  3,  7621,   //  4, 3 
+  4,  3,  6708,    4,  4, 47328,    5,  3,  4774,    5,  4,  6726,   //  4, 4 
+  4,  4,  6086,    4,  5, 49275,    5,  4,  4258,    5,  5,  5917,   //  4, 5 
+  4,  5,  5573,    4,  6, 50865,    5,  5,  3837,    5,  6,  5261,   //  4, 6 
+  4,  6,  5280,    4,  7, 51832,    5,  6,  3579,    5,  7,  4845,   //  4, 7 
+  3,  7,  3575,    3,  8,  4835,    4,  7,  5283,    4,  8, 51843,   //  4, 8 
+  3,  8,  3834,    3,  9,  5248,    4,  8,  5581,    4,  9, 50873,   //  4, 9 
+  3,  9,  4257,    3, 10,  5901,    4,  9,  6099,    4, 10, 49279,   //  4,10 
+  3, 10,  4774,    3, 11,  6708,    4, 10,  6727,    4, 11, 47327,   //  4,11 
+  3, 11,  5331,    3, 12,  7598,    4, 11,  7382,    4, 12, 45225,   //  4,12 
+  3, 12,  5895,    3, 13,  8530,    4, 12,  8015,    4, 13, 43096,   //  4,13 
+  3, 13,  6447,    3, 14,  9478,    4, 13,  8599,    4, 14, 41012,   //  4,14 
+  3, 14,  6975,    3, 15, 10430,    4, 14,  9122,    4, 15, 39009,   //  4,15 
+  5, -1,  8632,    5,  0, 39940,    6, -1,  6699,    6,  0, 10265,   //  5, 0 
+  5,  0,  8061,    5,  1, 42105,    6,  0,  6137,    6,  1,  9233,   //  5, 1 
+  5,  1,  7411,    5,  2, 44399,    6,  1,  5537,    6,  2,  8189,   //  5, 2 
+  5,  2,  6685,    5,  3, 46806,    6,  2,  4906,    6,  3,  7139,   //  5, 3 
+  5,  3,  5901,    5,  4, 49279,    6,  3,  4257,    6,  4,  6099,   //  5, 4 
+  5,  4,  5103,    5,  5, 51700,    6,  4,  3621,    6,  5,  5112,   //  5, 5 
+  5,  5,  4388,    5,  6, 53813,    6,  5,  3065,    6,  6,  4270,   //  5, 6 
+  5,  6,  3938,    5,  7, 55162,    6,  6,  2710,    6,  7,  3726,   //  5, 7 
+  4,  7,  2708,    4,  8,  3720,    5,  7,  3940,    5,  8, 55168,   //  5, 8 
+  4,  8,  3064,    4,  9,  4262,    5,  8,  4394,    5,  9, 53816,   //  5, 9 
+  4,  9,  3621,    4, 10,  5103,    5,  9,  5113,    5, 10, 51699,   //  5,10 
+  4, 10,  4258,    4, 11,  6086,    5, 10,  5917,    5, 11, 49275,   //  5,11 
+  4, 11,  4909,    4, 12,  7121,    5, 11,  6707,    5, 12, 46799,   //  5,12 
+  4, 12,  5543,    4, 13,  8167,    5, 12,  7440,    5, 13, 44386,   //  5,13 
+  4, 13,  6145,    4, 14,  9206,    5, 13,  8098,    5, 14, 42087,   //  5,14 
+  4, 14,  6710,    4, 15, 10232,    5, 14,  8676,    5, 15, 39918,   //  5,15 
+  6, -1,  8278,    6,  0, 40646,    7, -1,  6489,    7,  0, 10123,   //  6, 0 
+  6,  0,  7667,    6,  1, 42936,    7,  0,  5900,    7,  1,  9033,   //  6, 1 
+  6,  1,  6961,    6,  2, 45401,    7,  1,  5261,    7,  2,  7913,   //  6, 2 
+  6,  2,  6154,    6,  3, 48049,    7,  2,  4572,    7,  3,  6761,   //  6, 3 
+  6,  3,  5248,    6,  4, 50873,    7,  3,  3834,    7,  4,  5581,   //  6, 4 
+  6,  4,  4262,    6,  5, 53816,    7,  4,  3064,    7,  5,  4394,   //  6, 5 
+  6,  5,  3271,    6,  6, 56673,    7,  5,  2316,    7,  6,  3276,   //  6, 6 
+  6,  6,  2532,    6,  7, 58773,    7,  6,  1767,    7,  7,  2464,   //  6, 7 
+  5,  7,  1766,    5,  8,  2462,    6,  7,  2533,    6,  8, 58775,   //  6, 8 
+  5,  8,  2316,    5,  9,  3271,    6,  8,  3275,    6,  9, 56674,   //  6, 9 
+  5,  9,  3065,    5, 10,  4388,    6,  9,  4269,    6, 10, 53814,   //  6,10 
+  5, 10,  3837,    5, 11,  5573,    6, 10,  5261,    6, 11, 50865,   //  6,11 
+  5, 11,  4576,    5, 12,  6750,    6, 11,  6173,    6, 12, 48037,   //  6,12 
+  5, 12,  5268,    5, 13,  7899,    6, 12,  6986,    6, 13, 45383,   //  6,13 
+  5, 13,  5910,    5, 14,  9014,    6, 13,  7699,    6, 14, 42913,   //  6,14 
+  5, 14,  6502,    5, 15, 10100,    6, 14,  8316,    6, 15, 40618,   //  6,15 
+  7, -1,  8018,    7,  0, 41106,    8, -1,  6346,    8,  0, 10066,   //  7, 0 
+  7,  0,  7390,    7,  1, 43461,    8,  0,  5745,    8,  1,  8940,   //  7, 1 
+  7,  1,  6658,    7,  2, 46017,    8,  1,  5087,    8,  2,  7774,   //  7, 2 
+  7,  2,  5811,    7,  3, 48801,    8,  2,  4366,    8,  3,  6558,   //  7, 3 
+  7,  3,  4835,    7,  4, 51842,    8,  3,  3575,    8,  4,  5284,   //  7, 4 
+  7,  4,  3720,    7,  5, 55168,    8,  4,  2708,    8,  5,  3940,   //  7, 5 
+  7,  5,  2462,    7,  6, 58775,    8,  5,  1766,    8,  6,  2533,   //  7, 6 
+  7,  6,  1170,    7,  7, 62369,    8,  6,   827,    8,  7,  1170,   //  7, 7 
+  6,  7,   827,    6,  8,  1170,    7,  7,  1170,    7,  8, 62369,   //  7, 8 
+  6,  8,  1767,    6,  9,  2532,    7,  8,  2464,    7,  9, 58773,   //  7, 9 
+  6,  9,  2710,    6, 10,  3938,    7,  9,  3726,    7, 10, 55162,   //  7,10 
+  6, 10,  3579,    6, 11,  5280,    7, 10,  4846,    7, 11, 51831,   //  7,11 
+  6, 11,  4372,    6, 12,  6552,    7, 11,  5827,    7, 12, 48785,   //  7,12 
+  6, 12,  5095,    6, 13,  7766,    7, 12,  6680,    7, 13, 45995,   //  7,13 
+  6, 13,  5756,    6, 14,  8929,    7, 13,  7418,    7, 14, 43433,   //  7,14 
+  6, 14,  6360,    6, 15, 10052,    7, 14,  8052,    7, 15, 41072,   //  7,15 
+  8,  0, 41072,    8,  1,  8052,    9,  0, 10052,    9,  1,  6360,   //  8, 0 
+  8,  1, 43433,    8,  2,  7418,    9,  1,  8929,    9,  2,  5756,   //  8, 1 
+  8,  2, 45995,    8,  3,  6680,    9,  2,  7766,    9,  3,  5095,   //  8, 2 
+  8,  3, 48785,    8,  4,  5827,    9,  3,  6552,    9,  4,  4372,   //  8, 3 
+  8,  4, 51832,    8,  5,  4846,    9,  4,  5280,    9,  5,  3578,   //  8, 4 
+  8,  5, 55162,    8,  6,  3726,    9,  5,  3938,    9,  6,  2710,   //  8, 5 
+  8,  6, 58773,    8,  7,  2464,    9,  6,  2532,    9,  7,  1767,   //  8, 6 
+  8,  7, 62369,    8,  8,  1170,    9,  7,  1170,    9,  8,   827,   //  8, 7 
+  7,  8,  1170,    7,  9,   827,    8,  8, 62369,    8,  9,  1170,   //  8, 8 
+  7,  9,  2533,    7, 10,  1766,    8,  9, 58775,    8, 10,  2462,   //  8, 9 
+  7, 10,  3940,    7, 11,  2708,    8, 10, 55168,    8, 11,  3720,   //  8,10 
+  7, 11,  5283,    7, 12,  3575,    8, 11, 51842,    8, 12,  4836,   //  8,11 
+  7, 12,  6558,    7, 13,  4366,    8, 12, 48801,    8, 13,  5811,   //  8,12 
+  7, 13,  7773,    7, 14,  5087,    8, 13, 46017,    8, 14,  6659,   //  8,13 
+  7, 14,  8939,    7, 15,  5745,    8, 14, 43461,    8, 15,  7391,   //  8,14 
+  7, 15, 10066,    7, 16,  6346,    8, 15, 41106,    8, 16,  8018,   //  8,15 
+  9,  0, 40618,    9,  1,  8316,   10,  0, 10100,   10,  1,  6502,   //  9, 0 
+  9,  1, 42913,    9,  2,  7699,   10,  1,  9014,   10,  2,  5910,   //  9, 1 
+  9,  2, 45383,    9,  3,  6986,   10,  2,  7899,   10,  3,  5268,   //  9, 2 
+  9,  3, 48037,    9,  4,  6173,   10,  3,  6750,   10,  4,  4576,   //  9, 3 
+  9,  4, 50865,    9,  5,  5261,   10,  4,  5573,   10,  5,  3837,   //  9, 4 
+  9,  5, 53813,    9,  6,  4269,   10,  5,  4388,   10,  6,  3066,   //  9, 5 
+  9,  6, 56673,    9,  7,  3275,   10,  6,  3271,   10,  7,  2317,   //  9, 6 
+  9,  7, 58775,    9,  8,  2533,   10,  7,  2462,   10,  8,  1766,   //  9, 7 
+  8,  8,  2464,    8,  9,  1767,    9,  8, 58773,    9,  9,  2532,   //  9, 8 
+  8,  9,  3275,    8, 10,  2316,    9,  9, 56673,    9, 10,  3272,   //  9, 9 
+  8, 10,  4394,    8, 11,  3064,    9, 10, 53816,    9, 11,  4262,   //  9,10 
+  8, 11,  5581,    8, 12,  3834,    9, 11, 50873,    9, 12,  5248,   //  9,11 
+  8, 12,  6761,    8, 13,  4572,    9, 12, 48049,    9, 13,  6154,   //  9,12 
+  8, 13,  7913,    8, 14,  5261,    9, 13, 45401,    9, 14,  6961,   //  9,13 
+  8, 14,  9032,    8, 15,  5900,    9, 14, 42936,    9, 15,  7668,   //  9,14 
+  8, 15, 10123,    8, 16,  6489,    9, 15, 40646,    9, 16,  8278,   //  9,15 
+ 10,  0, 39918,   10,  1,  8676,   11,  0, 10232,   11,  1,  6710,   // 10, 0 
+ 10,  1, 42087,   10,  2,  8098,   11,  1,  9206,   11,  2,  6145,   // 10, 1 
+ 10,  2, 44386,   10,  3,  7440,   11,  2,  8167,   11,  3,  5543,   // 10, 2 
+ 10,  3, 46798,   10,  4,  6707,   11,  3,  7121,   11,  4,  4910,   // 10, 3 
+ 10,  4, 49275,   10,  5,  5917,   11,  4,  6086,   11,  5,  4258,   // 10, 4 
+ 10,  5, 51700,   10,  6,  5113,   11,  5,  5103,   11,  6,  3620,   // 10, 5 
+ 10,  6, 53816,   10,  7,  4394,   11,  6,  4262,   11,  7,  3064,   // 10, 6 
+ 10,  7, 55168,   10,  8,  3940,   11,  7,  3720,   11,  8,  2708,   // 10, 7 
+  9,  8,  3726,    9,  9,  2710,   10,  8, 55162,   10,  9,  3938,   // 10, 8 
+  9,  9,  4269,    9, 10,  3065,   10,  9, 53813,   10, 10,  4389,   // 10, 9 
+  9, 10,  5113,    9, 11,  3621,   10, 10, 51700,   10, 11,  5102,   // 10,10 
+  9, 11,  6099,    9, 12,  4257,   10, 11, 49279,   10, 12,  5901,   // 10,11 
+  9, 12,  7138,    9, 13,  4906,   10, 12, 46806,   10, 13,  6686,   // 10,12 
+  9, 13,  8189,    9, 14,  5537,   10, 13, 44399,   10, 14,  7411,   // 10,13 
+  9, 14,  9233,    9, 15,  6137,   10, 14, 42105,   10, 15,  8061,   // 10,14 
+  9, 15, 10265,    9, 16,  6699,   10, 15, 39940,   10, 16,  8632,   // 10,15 
+ 11,  0, 39009,   11,  1,  9122,   12,  0, 10430,   12,  1,  6975,   // 11, 0 
+ 11,  1, 41013,   11,  2,  8599,   12,  1,  9478,   12,  2,  6446,   // 11, 1 
+ 11,  2, 43096,   11,  3,  8015,   12,  2,  8530,   12,  3,  5895,   // 11, 2 
+ 11,  3, 45224,   11,  4,  7382,   12,  3,  7598,   12,  4,  5332,   // 11, 3 
+ 11,  4, 47328,   11,  5,  6727,   12,  4,  6708,   12,  5,  4773,   // 11, 4 
+ 11,  5, 49279,   11,  6,  6099,   12,  5,  5901,   12,  6,  4257,   // 11, 5 
+ 11,  6, 50873,   11,  7,  5581,   12,  6,  5248,   12,  7,  3834,   // 11, 6 
+ 11,  7, 51842,   11,  8,  5283,   12,  7,  4835,   12,  8,  3576,   // 11, 7 
+ 10,  8,  4846,   10,  9,  3579,   11,  8, 51832,   11,  9,  5279,   // 11, 8 
+ 10,  9,  5261,   10, 10,  3837,   11,  9, 50865,   11, 10,  5573,   // 11, 9 
+ 10, 10,  5917,   10, 11,  4258,   11, 10, 49275,   11, 11,  6086,   // 11,10 
+ 10, 11,  6727,   10, 12,  4774,   11, 11, 47328,   11, 12,  6707,   // 11,11 
+ 10, 12,  7622,   10, 13,  5330,   11, 12, 45229,   11, 13,  7355,   // 11,12 
+ 10, 13,  8559,   10, 14,  5891,   11, 13, 43105,   11, 14,  7981,   // 11,13 
+ 10, 14,  9513,   10, 15,  6440,   11, 14, 41026,   11, 15,  8557,   // 11,14 
+ 10, 15, 10473,   10, 16,  6965,   11, 15, 39026,   11, 16,  9072,   // 11,15 
+ 12,  0, 37939,   12,  1,  9642,   13,  0, 10670,   13,  1,  7285,   // 12, 0 
+ 12,  1, 39759,   12,  2,  9184,   13,  1,  9796,   13,  2,  6797,   // 12, 1 
+ 12,  2, 41614,   12,  3,  8681,   13,  2,  8941,   13,  3,  6300,   // 12, 2 
+ 12,  3, 43461,   12,  4,  8151,   13,  3,  8120,   13,  4,  5804,   // 12, 3 
+ 12,  4, 45229,   12,  5,  7622,   13,  4,  7356,   13,  5,  5329,   // 12, 4 
+ 12,  5, 46806,   12,  6,  7138,   13,  5,  6685,   13,  6,  4907,   // 12, 5 
+ 12,  6, 48049,   12,  7,  6761,   13,  6,  6154,   13,  7,  4572,   // 12, 6 
+ 12,  7, 48801,   12,  8,  6558,   13,  7,  5811,   13,  8,  4366,   // 12, 7 
+ 11,  8,  5827,   11,  9,  4372,   12,  8, 48785,   12,  9,  6552,   // 12, 8 
+ 11,  9,  6173,   11, 10,  4576,   12,  9, 48037,   12, 10,  6750,   // 12, 9 
+ 11, 10,  6707,   11, 11,  4909,   12, 10, 46798,   12, 11,  7122,   // 12,10 
+ 11, 11,  7382,   11, 12,  5331,   12, 11, 45224,   12, 12,  7599,   // 12,11 
+ 11, 12,  8151,   11, 13,  5804,   12, 12, 43461,   12, 13,  8120,   // 12,12 
+ 11, 13,  8979,   11, 14,  6297,   12, 13, 41618,   12, 14,  8642,   // 12,13 
+ 11, 14,  9841,   11, 15,  6792,   12, 14, 39767,   12, 15,  9136,   // 12,14 
+ 11, 15, 10723,   11, 16,  7276,   12, 15, 37951,   12, 16,  9586,   // 12,15 
+ 13,  0, 36756,   13,  1, 10224,   14,  0, 10930,   14,  1,  7626,   // 13, 0 
+ 13,  1, 38390,   13,  2,  9834,   14,  1, 10133,   14,  2,  7179,   // 13, 1 
+ 13,  2, 40025,   13,  3,  9413,   14,  2,  9366,   14,  3,  6732,   // 13, 2 
+ 13,  3, 41618,   13,  4,  8979,   14,  3,  8641,   14,  4,  6298,   // 13, 3 
+ 13,  4, 43105,   13,  5,  8559,   14,  4,  7981,   14,  5,  5891,   // 13, 4 
+ 13,  5, 44399,   13,  6,  8189,   14,  5,  7411,   14,  6,  5537,   // 13, 5 
+ 13,  6, 45401,   13,  7,  7913,   14,  6,  6961,   14,  7,  5261,   // 13, 6 
+ 13,  7, 46017,   13,  8,  7773,   14,  7,  6658,   14,  8,  5088,   // 13, 7 
+ 12,  8,  6680,   12,  9,  5095,   13,  8, 45995,   13,  9,  7766,   // 13, 8 
+ 12,  9,  6986,   12, 10,  5268,   13,  9, 45383,   13, 10,  7899,   // 13, 9 
+ 12, 10,  7440,   12, 11,  5543,   13, 10, 44386,   13, 11,  8167,   // 13,10 
+ 12, 11,  8015,   12, 12,  5895,   13, 11, 43096,   13, 12,  8530,   // 13,11 
+ 12, 12,  8681,   12, 13,  6299,   13, 12, 41614,   13, 13,  8942,   // 13,12 
+ 12, 13,  9413,   12, 14,  6732,   13, 13, 40025,   13, 14,  9366,   // 13,13 
+ 12, 14, 10188,   12, 15,  7177,   13, 14, 38394,   13, 15,  9777,   // 13,14 
+ 12, 15, 10994,   12, 16,  7620,   13, 15, 36764,   13, 16, 10158,   // 13,15 
+ 14,  0, 35502,   14,  1, 10855,   15,  0, 11192,   15,  1,  7987,   // 14, 0 
+ 14,  1, 36959,   14,  2, 10532,   15,  1, 10467,   15,  2,  7578,   // 14, 1 
+ 14,  2, 38394,   14,  3, 10188,   15,  2,  9777,   15,  3,  7177,   // 14, 2 
+ 14,  3, 39767,   14,  4,  9841,   15,  3,  9135,   15,  4,  6793,   // 14, 3 
+ 14,  4, 41026,   14,  5,  9513,   15,  4,  8557,   15,  5,  6440,   // 14, 4 
+ 14,  5, 42105,   14,  6,  9233,   15,  5,  8061,   15,  6,  6137,   // 14, 5 
+ 14,  6, 42936,   14,  7,  9032,   15,  6,  7667,   15,  7,  5901,   // 14, 6 
+ 14,  7, 43461,   14,  8,  8939,   15,  7,  7390,   15,  8,  5746,   // 14, 7 
+ 13,  8,  7418,   13,  9,  5756,   14,  8, 43433,   14,  9,  8929,   // 14, 8 
+ 13,  9,  7699,   13, 10,  5910,   14,  9, 42913,   14, 10,  9014,   // 14, 9 
+ 13, 10,  8098,   13, 11,  6145,   14, 10, 42087,   14, 11,  9206,   // 14,10 
+ 13, 11,  8599,   13, 12,  6447,   14, 11, 41013,   14, 12,  9477,   // 14,11 
+ 13, 12,  9184,   13, 13,  6797,   14, 12, 39759,   14, 13,  9796,   // 14,12 
+ 13, 13,  9834,   13, 14,  7179,   14, 13, 38390,   14, 14, 10133,   // 14,13 
+ 13, 14, 10532,   13, 15,  7579,   14, 14, 36959,   14, 15, 10466,   // 14,14 
+ 13, 15, 11267,   13, 16,  7983,   14, 15, 35506,   14, 16, 10780,   // 14,15 
+ 15,  0, 34212,   15,  1, 11526,   16,  0, 11440,   16,  1,  8358,   // 15, 0 
+ 15,  1, 35506,   15,  2, 11267,   16,  1, 10780,   16,  2,  7983,   // 15, 1 
+ 15,  2, 36764,   15,  3, 10994,   16,  2, 10158,   16,  3,  7620,   // 15, 2 
+ 15,  3, 37951,   15,  4, 10723,   16,  3,  9585,   16,  4,  7277,   // 15, 3 
+ 15,  4, 39026,   15,  5, 10473,   16,  4,  9072,   16,  5,  6965,   // 15, 4 
+ 15,  5, 39940,   15,  6, 10265,   16,  5,  8632,   16,  6,  6699,   // 15, 5 
+ 15,  6, 40646,   15,  7, 10123,   16,  6,  8278,   16,  7,  6489,   // 15, 6 
+ 15,  7, 41106,   15,  8, 10066,   16,  7,  8018,   16,  8,  6346,   // 15, 7 
+ 14,  8,  8052,   14,  9,  6360,   15,  8, 41072,   15,  9, 10052,   // 15, 8 
+ 14,  9,  8316,   14, 10,  6502,   15,  9, 40618,   15, 10, 10100,   // 15, 9 
+ 14, 10,  8676,   14, 11,  6710,   15, 10, 39918,   15, 11, 10232,   // 15,10 
+ 14, 11,  9122,   14, 12,  6975,   15, 11, 39009,   15, 12, 10430,   // 15,11 
+ 14, 12,  9642,   14, 13,  7285,   15, 12, 37939,   15, 13, 10670,   // 15,12 
+ 14, 13, 10224,   14, 14,  7626,   15, 13, 36756,   15, 14, 10930,   // 15,13 
+ 14, 14, 10855,   14, 15,  7987,   15, 14, 35502,   15, 15, 11192,   // 15,14 
+ 14, 15, 11526,   14, 16,  8358,   15, 15, 34212,   15, 16, 11440,   // 15,15 
+ // angle of 2.0 degrees
+  0, -1, 13368,    0,  0, 28495,    1, -1, 10104,    1,  0, 13569,   //  0, 0 
+  0,  0, 13291,    0,  1, 29828,    1,  0,  9671,    1,  1, 12746,   //  0, 1 
+  0,  1, 13176,    0,  2, 31138,    1,  1,  9245,    1,  2, 11977,   //  0, 2 
+  0,  2, 13038,    0,  3, 32391,    1,  2,  8838,    1,  3, 11269,   //  0, 3 
+  0,  3, 12899,    0,  4, 33539,    1,  3,  8463,    1,  4, 10635,   //  0, 4 
+  0,  4, 12783,    0,  5, 34532,    1,  4,  8135,    1,  5, 10086,   //  0, 5 
+  0,  5, 12717,    0,  6, 35315,    1,  5,  7868,    1,  6,  9636,   //  0, 6 
+  0,  6, 12728,    0,  7, 35844,    1,  6,  7674,    1,  7,  9290,   //  0, 7 
+ -1,  7,  7643,   -1,  8,  9224,    0,  7, 12764,    0,  8, 35905,   //  0, 8 
+ -1,  8,  7839,   -1,  9,  9558,    0,  8, 12777,    0,  9, 35362,   //  0, 9 
+ -1,  9,  8107,   -1, 10,  9995,    0,  9, 12867,    0, 10, 34567,   //  0,10 
+ -1, 10,  8438,   -1, 11, 10528,    0, 10, 13007,    0, 11, 33563,   //  0,11 
+ -1, 11,  8816,   -1, 12, 11143,    0, 11, 13171,    0, 12, 32406,   //  0,12 
+ -1, 12,  9229,   -1, 13, 11829,    0, 12, 13332,    0, 13, 31146,   //  0,13 
+ -1, 13,  9662,   -1, 14, 12574,    0, 13, 13470,    0, 14, 29830,   //  0,14 
+ -1, 14, 10104,   -1, 15, 13368,    0, 14, 13569,    0, 15, 28495,   //  0,15 
+  1, -1, 12574,    1,  0, 29831,    2, -1,  9662,    2,  0, 13469,   //  1, 0 
+  1,  0, 12412,    1,  1, 31358,    2,  0,  9202,    2,  1, 12564,   //  1, 1 
+  1,  1, 12203,    1,  2, 32881,    2,  1,  8742,    2,  2, 11710,   //  1, 2 
+  1,  2, 11964,    1,  3, 34358,    2,  2,  8296,    2,  3, 10918,   //  1, 3 
+  1,  3, 11721,    1,  4, 35730,    2,  3,  7881,    2,  4, 10204,   //  1, 4 
+  1,  4, 11507,    1,  5, 36926,    2,  4,  7517,    2,  5,  9586,   //  1, 5 
+  1,  5, 11360,    1,  6, 37866,    2,  5,  7224,    2,  6,  9086,   //  1, 6 
+  1,  6, 11317,    1,  7, 38481,    2,  6,  7020,    2,  7,  8718,   //  1, 7 
+  0,  7,  6997,    0,  8,  8662,    1,  7, 11344,    1,  8, 38533,   //  1, 8 
+  0,  8,  7202,    0,  9,  9020,    1,  8, 11407,    1,  9, 37907,   //  1, 9 
+  0,  9,  7497,    0, 10,  9509,    1,  9, 11575,    1, 10, 36955,   //  1,10 
+  0, 10,  7865,    0, 11, 10111,    1, 10, 11810,    1, 11, 35750,   //  1,11 
+  0, 11,  8284,    0, 12, 10808,    1, 11, 12074,    1, 12, 34370,   //  1,12 
+  0, 12,  8735,    0, 13, 11580,    1, 12, 12334,    1, 13, 32887,   //  1,13 
+  0, 13,  9202,    0, 14, 12412,    1, 13, 12564,    1, 14, 31358,   //  1,14 
+  0, 14,  9671,    0, 15, 13291,    1, 14, 12746,    1, 15, 29828,   //  1,15 
+  2, -1, 11829,    2,  0, 31146,    3, -1,  9229,    3,  0, 13332,   //  2, 0 
+  2,  0, 11580,    2,  1, 32886,    3,  0,  8735,    3,  1, 12335,   //  2, 1 
+  2,  1, 11272,    2,  2, 34650,    3,  1,  8232,    3,  2, 11382,   //  2, 2 
+  2,  2, 10922,    2,  3, 36392,    3,  2,  7734,    3,  3, 10488,   //  2, 3 
+  2,  3, 10559,    2,  4, 38042,    3,  3,  7261,    3,  4,  9674,   //  2, 4 
+  2,  4, 10226,    2,  5, 39503,    3,  4,  6842,    3,  5,  8965,   //  2, 5 
+  2,  5,  9977,    2,  6, 40656,    3,  5,  6506,    3,  6,  8397,   //  2, 6 
+  2,  6,  9867,    2,  7, 41389,    3,  6,  6284,    3,  7,  7996,   //  2, 7 
+  1,  7,  6266,    1,  8,  7951,    2,  7,  9886,    2,  8, 41433,   //  2, 8 
+  1,  8,  6491,    1,  9,  8344,    2,  8, 10013,    2,  9, 40688,   //  2, 9 
+  1,  9,  6829,    1, 10,  8902,    2,  9, 10279,    2, 10, 39526,   //  2,10 
+  1, 10,  7252,    1, 11,  9597,    2, 10, 10630,    2, 11, 38057,   //  2,11 
+  1, 11,  7728,    1, 12, 10397,    2, 11, 11012,    2, 12, 36399,   //  2,12 
+  1, 12,  8232,    1, 13, 11272,    2, 12, 11382,    2, 13, 34650,   //  2,13 
+  1, 13,  8742,    1, 14, 12203,    2, 13, 11709,    2, 14, 32882,   //  2,14 
+  1, 14,  9245,    1, 15, 13176,    2, 14, 11977,    2, 15, 31138,   //  2,15 
+  3, -1, 11143,    3,  0, 32406,    4, -1,  8816,    4,  0, 13171,   //  3, 0 
+  3,  0, 10808,    3,  1, 34369,    4,  0,  8284,    4,  1, 12075,   //  3, 1 
+  3,  1, 10397,    3,  2, 36399,    4,  1,  7728,    4,  2, 11012,   //  3, 2 
+  3,  2,  9924,    3,  3, 38450,    4,  2,  7164,    4,  3,  9998,   //  3, 3 
+  3,  3,  9421,    3,  4, 40444,    4,  3,  6615,    4,  4,  9056,   //  3, 4 
+  3,  4,  8940,    3,  5, 42256,    4,  4,  6116,    4,  5,  8224,   //  3, 5 
+  3,  5,  8558,    3,  6, 43710,    4,  5,  5712,    4,  6,  7556,   //  3, 6 
+  3,  6,  8359,    3,  7, 44616,    4,  6,  5454,    4,  7,  7107,   //  3, 7 
+  2,  7,  5443,    2,  8,  7072,    3,  7,  8373,    3,  8, 44648,   //  3, 8 
+  2,  8,  5703,    2,  9,  7516,    3,  8,  8584,    3,  9, 43733,   //  3, 9 
+  2,  9,  6108,    2, 10,  8175,    3,  9,  8982,    3, 10, 42271,   //  3,10 
+  2, 10,  6611,    2, 11,  8995,    3, 10,  9478,    3, 11, 40452,   //  3,11 
+  2, 11,  7164,    2, 12,  9924,    3, 11,  9998,    3, 12, 38450,   //  3,12 
+  2, 12,  7734,    2, 13, 10922,    3, 12, 10488,    3, 13, 36392,   //  3,13 
+  2, 13,  8296,    2, 14, 11964,    3, 13, 10918,    3, 14, 34358,   //  3,14 
+  2, 14,  8838,    2, 15, 13038,    3, 14, 11269,    3, 15, 32391,   //  3,15 
+  4, -1, 10528,    4,  0, 33564,    5, -1,  8438,    5,  0, 13006,   //  4, 0 
+  4,  0, 10111,    4,  1, 35750,    5,  0,  7865,    5,  1, 11810,   //  4, 1 
+  4,  1,  9597,    4,  2, 38057,    5,  1,  7252,    5,  2, 10630,   //  4, 2 
+  4,  2,  8995,    4,  3, 40452,    5,  2,  6611,    5,  3,  9478,   //  4, 3 
+  4,  3,  8332,    4,  4, 42861,    5,  3,  5965,    5,  4,  8378,   //  4, 4 
+  4,  4,  7667,    4,  5, 45139,    5,  4,  5353,    5,  5,  7377,   //  4, 5 
+  4,  5,  7100,    4,  6, 47035,    5,  5,  4843,    5,  6,  6558,   //  4, 6 
+  4,  6,  6774,    4,  7, 48218,    5,  6,  4521,    5,  7,  6023,   //  4, 7 
+  3,  7,  4513,    3,  8,  6000,    4,  7,  6783,    4,  8, 48240,   //  4, 8 
+  3,  8,  4838,    3,  9,  6530,    4,  8,  7119,    4,  9, 47049,   //  4, 9 
+  3,  9,  5350,    3, 10,  7342,    4,  9,  7698,    4, 10, 45146,   //  4,10 
+  3, 10,  5965,    3, 11,  8332,    4, 10,  8378,    4, 11, 42861,   //  4,11 
+  3, 11,  6615,    3, 12,  9421,    4, 11,  9056,    4, 12, 40444,   //  4,12 
+  3, 12,  7261,    3, 13, 10559,    4, 12,  9674,    4, 13, 38042,   //  4,13 
+  3, 13,  7881,    3, 14, 11721,    4, 13, 10204,    4, 14, 35730,   //  4,14 
+  3, 14,  8463,    3, 15, 12899,    4, 14, 10635,    4, 15, 33539,   //  4,15 
+  5, -1,  9995,    5,  0, 34567,    6, -1,  8107,    6,  0, 12867,   //  5, 0 
+  5,  0,  9509,    5,  1, 36955,    6,  0,  7497,    6,  1, 11575,   //  5, 1 
+  5,  1,  8902,    5,  2, 39526,    6,  1,  6829,    6,  2, 10279,   //  5, 2 
+  5,  2,  8175,    5,  3, 42271,    6,  2,  6108,    6,  3,  8982,   //  5, 3 
+  5,  3,  7342,    5,  4, 45146,    6,  3,  5350,    6,  4,  7698,   //  5, 4 
+  5,  4,  6451,    5,  5, 48019,    6,  4,  4591,    6,  5,  6475,   //  5, 5 
+  5,  5,  5624,    5,  6, 50581,    6,  5,  3913,    6,  6,  5418,   //  5, 6 
+  5,  6,  5092,    5,  7, 52253,    6,  6,  3470,    6,  7,  4721,   //  5, 7 
+  4,  7,  3466,    4,  8,  4708,    5,  7,  5097,    5,  8, 52265,   //  5, 8 
+  4,  8,  3911,    4,  9,  5400,    5,  8,  5637,    5,  9, 50588,   //  5, 9 
+  4,  9,  4591,    4, 10,  6451,    5,  9,  6475,    5, 10, 48019,   //  5,10 
+  4, 10,  5353,    4, 11,  7667,    5, 10,  7377,    5, 11, 45139,   //  5,11 
+  4, 11,  6116,    4, 12,  8940,    5, 11,  8224,    5, 12, 42256,   //  5,12 
+  4, 12,  6842,    4, 13, 10226,    5, 12,  8966,    5, 13, 39502,   //  5,13 
+  4, 13,  7517,    4, 14, 11507,    5, 13,  9587,    5, 14, 36925,   //  5,14 
+  4, 14,  8135,    4, 15, 12783,    5, 14, 10086,    5, 15, 34532,   //  5,15 
+  6, -1,  9558,    6,  0, 35362,    7, -1,  7839,    7,  0, 12777,   //  6, 0 
+  6,  0,  9020,    6,  1, 37906,    7,  0,  7202,    7,  1, 11408,   //  6, 1 
+  6,  1,  8344,    6,  2, 40688,    7,  1,  6491,    7,  2, 10013,   //  6, 2 
+  6,  2,  7516,    6,  3, 43733,    7,  2,  5703,    7,  3,  8584,   //  6, 3 
+  6,  3,  6530,    6,  4, 47049,    7,  3,  4838,    7,  4,  7119,   //  6, 4 
+  6,  4,  5400,    6,  5, 50587,    7,  4,  3911,    7,  5,  5638,   //  6, 5 
+  6,  5,  4217,    6,  6, 54105,    7,  5,  2989,    7,  6,  4225,   //  6, 6 
+  6,  6,  3303,    6,  7, 56751,    7,  6,  2295,    7,  7,  3187,   //  6, 7 
+  5,  7,  2294,    5,  8,  3180,    6,  7,  3306,    6,  8, 56756,   //  6, 8 
+  5,  8,  2989,    5,  9,  4217,    6,  8,  4225,    6,  9, 54105,   //  6, 9 
+  5,  9,  3913,    5, 10,  5624,    6,  9,  5418,    6, 10, 50581,   //  6,10 
+  5, 10,  4843,    5, 11,  7100,    6, 10,  6558,    6, 11, 47035,   //  6,11 
+  5, 11,  5712,    5, 12,  8558,    6, 11,  7556,    6, 12, 43710,   //  6,12 
+  5, 12,  6506,    5, 13,  9977,    6, 12,  8397,    6, 13, 40656,   //  6,13 
+  5, 13,  7224,    5, 14, 11360,    6, 13,  9086,    6, 14, 37866,   //  6,14 
+  5, 14,  7868,    5, 15, 12717,    6, 14,  9635,    6, 15, 35316,   //  6,15 
+  7, -1,  9224,    7,  0, 35905,    8, -1,  7643,    8,  0, 12764,   //  7, 0 
+  7,  0,  8662,    7,  1, 38534,    8,  0,  6997,    8,  1, 11343,   //  7, 1 
+  7,  1,  7951,    7,  2, 41432,    8,  1,  6266,    8,  2,  9887,   //  7, 2 
+  7,  2,  7072,    7,  3, 44649,    8,  2,  5443,    8,  3,  8372,   //  7, 3 
+  7,  3,  6000,    7,  4, 48240,    8,  3,  4513,    8,  4,  6783,   //  7, 4 
+  7,  4,  4708,    7,  5, 52266,    8,  4,  3466,    8,  5,  5096,   //  7, 5 
+  7,  5,  3180,    7,  6, 56756,    8,  5,  2294,    8,  6,  3306,   //  7, 6 
+  7,  6,  1541,    7,  7, 61364,    8,  6,  1090,    8,  7,  1541,   //  7, 7 
+  6,  7,  1090,    6,  8,  1541,    7,  7,  1542,    7,  8, 61363,   //  7, 8 
+  6,  8,  2295,    6,  9,  3303,    7,  8,  3186,    7,  9, 56752,   //  7, 9 
+  6,  9,  3470,    6, 10,  5092,    7,  9,  4721,    7, 10, 52253,   //  7,10 
+  6, 10,  4521,    6, 11,  6774,    7, 10,  6023,    7, 11, 48218,   //  7,11 
+  6, 11,  5454,    6, 12,  8359,    7, 11,  7106,    7, 12, 44617,   //  7,12 
+  6, 12,  6284,    6, 13,  9867,    7, 12,  7996,    7, 13, 41389,   //  7,13 
+  6, 13,  7020,    6, 14, 11317,    7, 13,  8718,    7, 14, 38481,   //  7,14 
+  6, 14,  7674,    6, 15, 12728,    7, 14,  9290,    7, 15, 35844,   //  7,15 
+  8,  0, 35844,    8,  1,  9290,    9,  0, 12728,    9,  1,  7674,   //  8, 0 
+  8,  1, 38481,    8,  2,  8718,    9,  1, 11317,    9,  2,  7020,   //  8, 1 
+  8,  2, 41389,    8,  3,  7996,    9,  2,  9867,    9,  3,  6284,   //  8, 2 
+  8,  3, 44616,    8,  4,  7106,    9,  3,  8359,    9,  4,  5455,   //  8, 3 
+  8,  4, 48218,    8,  5,  6023,    9,  4,  6774,    9,  5,  4521,   //  8, 4 
+  8,  5, 52253,    8,  6,  4721,    9,  5,  5092,    9,  6,  3470,   //  8, 5 
+  8,  6, 56751,    8,  7,  3186,    9,  6,  3303,    9,  7,  2296,   //  8, 6 
+  8,  7, 61364,    8,  8,  1542,    9,  7,  1541,    9,  8,  1089,   //  8, 7 
+  7,  8,  1542,    7,  9,  1090,    8,  8, 61364,    8,  9,  1540,   //  8, 8 
+  7,  9,  3306,    7, 10,  2294,    8,  9, 56756,    8, 10,  3180,   //  8, 9 
+  7, 10,  5097,    7, 11,  3466,    8, 10, 52266,    8, 11,  4707,   //  8,10 
+  7, 11,  6783,    7, 12,  4513,    8, 11, 48240,    8, 12,  6000,   //  8,11 
+  7, 12,  8373,    7, 13,  5443,    8, 12, 44649,    8, 13,  7071,   //  8,12 
+  7, 13,  9886,    7, 14,  6266,    8, 13, 41432,    8, 14,  7952,   //  8,13 
+  7, 14, 11344,    7, 15,  6997,    8, 14, 38534,    8, 15,  8661,   //  8,14 
+  7, 15, 12764,    7, 16,  7643,    8, 15, 35905,    8, 16,  9224,   //  8,15 
+  9,  0, 35315,    9,  1,  9635,   10,  0, 12717,   10,  1,  7869,   //  9, 0 
+  9,  1, 37866,    9,  2,  9086,   10,  1, 11360,   10,  2,  7224,   //  9, 1 
+  9,  2, 40656,    9,  3,  8397,   10,  2,  9977,   10,  3,  6506,   //  9, 2 
+  9,  3, 43710,    9,  4,  7556,   10,  3,  8558,   10,  4,  5712,   //  9, 3 
+  9,  4, 47035,    9,  5,  6558,   10,  4,  7100,   10,  5,  4843,   //  9, 4 
+  9,  5, 50581,    9,  6,  5418,   10,  5,  5624,   10,  6,  3913,   //  9, 5 
+  9,  6, 54105,    9,  7,  4225,   10,  6,  4217,   10,  7,  2989,   //  9, 6 
+  9,  7, 56756,    9,  8,  3306,   10,  7,  3180,   10,  8,  2294,   //  9, 7 
+  8,  8,  3186,    8,  9,  2295,    9,  8, 56751,    9,  9,  3304,   //  9, 8 
+  8,  9,  4225,    8, 10,  2989,    9,  9, 54105,    9, 10,  4217,   //  9, 9 
+  8, 10,  5637,    8, 11,  3911,    9, 10, 50587,    9, 11,  5401,   //  9,10 
+  8, 11,  7119,    8, 12,  4838,    9, 11, 47049,    9, 12,  6530,   //  9,11 
+  8, 12,  8584,    8, 13,  5703,    9, 12, 43733,    9, 13,  7516,   //  9,12 
+  8, 13, 10013,    8, 14,  6491,    9, 13, 40688,    9, 14,  8344,   //  9,13 
+  8, 14, 11407,    8, 15,  7202,    9, 14, 37906,    9, 15,  9021,   //  9,14 
+  8, 15, 12777,    8, 16,  7839,    9, 15, 35362,    9, 16,  9558,   //  9,15 
+ 10,  0, 34532,   10,  1, 10086,   11,  0, 12783,   11,  1,  8135,   // 10, 0 
+ 10,  1, 36926,   10,  2,  9587,   11,  1, 11507,   11,  2,  7516,   // 10, 1 
+ 10,  2, 39503,   10,  3,  8966,   11,  2, 10226,   11,  3,  6841,   // 10, 2 
+ 10,  3, 42256,   10,  4,  8224,   11,  3,  8940,   11,  4,  6116,   // 10, 3 
+ 10,  4, 45139,   10,  5,  7377,   11,  4,  7667,   11,  5,  5353,   // 10, 4 
+ 10,  5, 48019,   10,  6,  6475,   11,  5,  6451,   11,  6,  4591,   // 10, 5 
+ 10,  6, 50587,   10,  7,  5637,   11,  6,  5400,   11,  7,  3912,   // 10, 6 
+ 10,  7, 52266,   10,  8,  5097,   11,  7,  4708,   11,  8,  3465,   // 10, 7 
+  9,  8,  4721,    9,  9,  3470,   10,  8, 52253,   10,  9,  5092,   // 10, 8 
+  9,  9,  5418,    9, 10,  3913,   10,  9, 50581,   10, 10,  5624,   // 10, 9 
+  9, 10,  6475,    9, 11,  4591,   10, 10, 48019,   10, 11,  6451,   // 10,10 
+  9, 11,  7698,    9, 12,  5350,   10, 11, 45146,   10, 12,  7342,   // 10,11 
+  9, 12,  8982,    9, 13,  6108,   10, 12, 42271,   10, 13,  8175,   // 10,12 
+  9, 13, 10279,    9, 14,  6829,   10, 13, 39526,   10, 14,  8902,   // 10,13 
+  9, 14, 11575,    9, 15,  7497,   10, 14, 36955,   10, 15,  9509,   // 10,14 
+  9, 15, 12867,    9, 16,  8107,   10, 15, 34567,   10, 16,  9995,   // 10,15 
+ 11,  0, 33539,   11,  1, 10635,   12,  0, 12899,   12,  1,  8463,   // 11, 0 
+ 11,  1, 35730,   11,  2, 10204,   12,  1, 11721,   12,  2,  7881,   // 11, 1 
+ 11,  2, 38042,   11,  3,  9674,   12,  2, 10559,   12,  3,  7261,   // 11, 2 
+ 11,  3, 40444,   11,  4,  9056,   12,  3,  9421,   12,  4,  6615,   // 11, 3 
+ 11,  4, 42861,   11,  5,  8378,   12,  4,  8332,   12,  5,  5965,   // 11, 4 
+ 11,  5, 45146,   11,  6,  7698,   12,  5,  7342,   12,  6,  5350,   // 11, 5 
+ 11,  6, 47049,   11,  7,  7119,   12,  6,  6530,   12,  7,  4838,   // 11, 6 
+ 11,  7, 48240,   11,  8,  6783,   12,  7,  6000,   12,  8,  4513,   // 11, 7 
+ 10,  8,  6023,   10,  9,  4521,   11,  8, 48218,   11,  9,  6774,   // 11, 8 
+ 10,  9,  6558,   10, 10,  4843,   11,  9, 47035,   11, 10,  7100,   // 11, 9 
+ 10, 10,  7377,   10, 11,  5353,   11, 10, 45139,   11, 11,  7667,   // 11,10 
+ 10, 11,  8378,   10, 12,  5965,   11, 11, 42861,   11, 12,  8332,   // 11,11 
+ 10, 12,  9478,   10, 13,  6611,   11, 12, 40452,   11, 13,  8995,   // 11,12 
+ 10, 13, 10630,   10, 14,  7252,   11, 13, 38057,   11, 14,  9597,   // 11,13 
+ 10, 14, 11810,   10, 15,  7865,   11, 14, 35750,   11, 15, 10111,   // 11,14 
+ 10, 15, 13007,   10, 16,  8438,   11, 15, 33564,   11, 16, 10527,   // 11,15 
+ 12,  0, 32391,   12,  1, 11269,   13,  0, 13038,   13,  1,  8838,   // 12, 0 
+ 12,  1, 34358,   12,  2, 10918,   13,  1, 11964,   13,  2,  8296,   // 12, 1 
+ 12,  2, 36392,   12,  3, 10488,   13,  2, 10922,   13,  3,  7734,   // 12, 2 
+ 12,  3, 38450,   12,  4,  9998,   13,  3,  9924,   13,  4,  7164,   // 12, 3 
+ 12,  4, 40452,   12,  5,  9478,   13,  4,  8995,   13,  5,  6611,   // 12, 4 
+ 12,  5, 42271,   12,  6,  8982,   13,  5,  8175,   13,  6,  6108,   // 12, 5 
+ 12,  6, 43733,   12,  7,  8584,   13,  6,  7516,   13,  7,  5703,   // 12, 6 
+ 12,  7, 44649,   12,  8,  8373,   13,  7,  7072,   13,  8,  5442,   // 12, 7 
+ 11,  8,  7106,   11,  9,  5454,   12,  8, 44616,   12,  9,  8360,   // 12, 8 
+ 11,  9,  7556,   11, 10,  5712,   12,  9, 43710,   12, 10,  8558,   // 12, 9 
+ 11, 10,  8224,   11, 11,  6116,   12, 10, 42256,   12, 11,  8940,   // 12,10 
+ 11, 11,  9056,   11, 12,  6615,   12, 11, 40444,   12, 12,  9421,   // 12,11 
+ 11, 12,  9998,   11, 13,  7164,   12, 12, 38450,   12, 13,  9924,   // 12,12 
+ 11, 13, 11012,   11, 14,  7728,   12, 13, 36399,   12, 14, 10397,   // 12,13 
+ 11, 14, 12074,   11, 15,  8284,   12, 14, 34369,   12, 15, 10809,   // 12,14 
+ 11, 15, 13171,   11, 16,  8816,   12, 15, 32406,   12, 16, 11143,   // 12,15 
+ 13,  0, 31138,   13,  1, 11977,   14,  0, 13176,   14,  1,  9245,   // 13, 0 
+ 13,  1, 32881,   13,  2, 11709,   14,  1, 12203,   14,  2,  8743,   // 13, 1 
+ 13,  2, 34650,   13,  3, 11382,   14,  2, 11272,   14,  3,  8232,   // 13, 2 
+ 13,  3, 36399,   13,  4, 11012,   14,  3, 10397,   14,  4,  7728,   // 13, 3 
+ 13,  4, 38057,   13,  5, 10630,   14,  4,  9597,   14,  5,  7252,   // 13, 4 
+ 13,  5, 39526,   13,  6, 10279,   14,  5,  8902,   14,  6,  6829,   // 13, 5 
+ 13,  6, 40688,   13,  7, 10013,   14,  6,  8344,   14,  7,  6491,   // 13, 6 
+ 13,  7, 41432,   13,  8,  9886,   14,  7,  7951,   14,  8,  6267,   // 13, 7 
+ 12,  8,  7996,   12,  9,  6284,   13,  8, 41389,   13,  9,  9867,   // 13, 8 
+ 12,  9,  8397,   12, 10,  6506,   13,  9, 40656,   13, 10,  9977,   // 13, 9 
+ 12, 10,  8966,   12, 11,  6842,   13, 10, 39503,   13, 11, 10225,   // 13,10 
+ 12, 11,  9674,   12, 12,  7261,   13, 11, 38042,   13, 12, 10559,   // 13,11 
+ 12, 12, 10488,   12, 13,  7734,   13, 12, 36392,   13, 13, 10922,   // 13,12 
+ 12, 13, 11382,   12, 14,  8232,   13, 13, 34650,   13, 14, 11272,   // 13,13 
+ 12, 14, 12334,   12, 15,  8735,   13, 14, 32886,   13, 15, 11581,   // 13,14 
+ 12, 15, 13332,   12, 16,  9229,   13, 15, 31146,   13, 16, 11829,   // 13,15 
+ 14,  0, 29828,   14,  1, 12746,   15,  0, 13291,   15,  1,  9671,   // 14, 0 
+ 14,  1, 31358,   14,  2, 12564,   15,  1, 12412,   15,  2,  9202,   // 14, 1 
+ 14,  2, 32886,   14,  3, 12334,   15,  2, 11580,   15,  3,  8736,   // 14, 2 
+ 14,  3, 34369,   14,  4, 12074,   15,  3, 10808,   15,  4,  8285,   // 14, 3 
+ 14,  4, 35750,   14,  5, 11810,   15,  4, 10111,   15,  5,  7865,   // 14, 4 
+ 14,  5, 36955,   14,  6, 11575,   15,  5,  9509,   15,  6,  7497,   // 14, 5 
+ 14,  6, 37906,   14,  7, 11407,   15,  6,  9020,   15,  7,  7203,   // 14, 6 
+ 14,  7, 38534,   14,  8, 11344,   15,  7,  8662,   15,  8,  6996,   // 14, 7 
+ 13,  8,  8718,   13,  9,  7020,   14,  8, 38481,   14,  9, 11317,   // 14, 8 
+ 13,  9,  9086,   13, 10,  7224,   14,  9, 37866,   14, 10, 11360,   // 14, 9 
+ 13, 10,  9587,   13, 11,  7517,   14, 10, 36926,   14, 11, 11506,   // 14,10 
+ 13, 11, 10204,   13, 12,  7881,   14, 11, 35730,   14, 12, 11721,   // 14,11 
+ 13, 12, 10918,   13, 13,  8296,   14, 12, 34358,   14, 13, 11964,   // 14,12 
+ 13, 13, 11709,   13, 14,  8742,   14, 13, 32881,   14, 14, 12204,   // 14,13 
+ 13, 14, 12564,   13, 15,  9202,   14, 14, 31358,   14, 15, 12412,   // 14,14 
+ 13, 15, 13470,   13, 16,  9662,   14, 15, 29831,   14, 16, 12573,   // 14,15 
+ 15,  0, 28495,   15,  1, 13569,   16,  0, 13368,   16,  1, 10104,   // 15, 0 
+ 15,  1, 29831,   15,  2, 13470,   16,  1, 12574,   16,  2,  9661,   // 15, 1 
+ 15,  2, 31146,   15,  3, 13332,   16,  2, 11829,   16,  3,  9229,   // 15, 2 
+ 15,  3, 32406,   15,  4, 13171,   16,  3, 11143,   16,  4,  8816,   // 15, 3 
+ 15,  4, 33564,   15,  5, 13007,   16,  4, 10528,   16,  5,  8437,   // 15, 4 
+ 15,  5, 34567,   15,  6, 12867,   16,  5,  9995,   16,  6,  8107,   // 15, 5 
+ 15,  6, 35362,   15,  7, 12777,   16,  6,  9558,   16,  7,  7839,   // 15, 6 
+ 15,  7, 35905,   15,  8, 12764,   16,  7,  9224,   16,  8,  7643,   // 15, 7 
+ 14,  8,  9290,   14,  9,  7674,   15,  8, 35844,   15,  9, 12728,   // 15, 8 
+ 14,  9,  9635,   14, 10,  7868,   15,  9, 35315,   15, 10, 12718,   // 15, 9 
+ 14, 10, 10086,   14, 11,  8135,   15, 10, 34532,   15, 11, 12783,   // 15,10 
+ 14, 11, 10635,   14, 12,  8463,   15, 11, 33539,   15, 12, 12899,   // 15,11 
+ 14, 12, 11269,   14, 13,  8838,   15, 12, 32391,   15, 13, 13038,   // 15,12 
+ 14, 13, 11977,   14, 14,  9245,   15, 13, 31138,   15, 14, 13176,   // 15,13 
+ 14, 14, 12746,   14, 15,  9671,   15, 14, 29828,   15, 15, 13291,   // 15,14 
+ 14, 15, 13569,   14, 16, 10104,   15, 15, 28495,   15, 16, 13368,   // 15,15 
+ // angle of 2.5 degrees
+  0, -1, 14696,    0,  0, 24063,    1, -1, 11702,    1,  0, 15075,   //  0, 0 
+  0,  0, 14872,    0,  1, 25368,    1,  0, 11187,    1,  1, 14109,   //  0, 1 
+  0,  1, 14990,    0,  2, 26660,    1,  1, 10676,    1,  2, 13210,   //  0, 2 
+  0,  2, 15060,    0,  3, 27903,    1,  2, 10185,    1,  3, 12388,   //  0, 3 
+  0,  3, 15100,    0,  4, 29055,    1,  3,  9728,    1,  4, 11653,   //  0, 4 
+  0,  4, 15135,    0,  5, 30064,    1,  4,  9323,    1,  5, 11014,   //  0, 5 
+  0,  5, 15193,    0,  6, 30876,    1,  5,  8986,    1,  6, 10481,   //  0, 6 
+  0,  6, 15301,    0,  7, 31444,    1,  6,  8727,    1,  7, 10064,   //  0, 7 
+ -1,  7,  8669,   -1,  8,  9959,    0,  7, 15376,    0,  8, 31532,   //  0, 8 
+ -1,  8,  8927,   -1,  9, 10351,    0,  8, 15319,    0,  9, 30939,   //  0, 9 
+ -1,  9,  9265,   -1, 10, 10855,    0,  9, 15311,    0, 10, 30105,   //  0,10 
+ -1, 10,  9673,   -1, 11, 11461,    0, 10, 15325,    0, 11, 29077,   //  0,11 
+ -1, 11, 10135,   -1, 12, 12159,    0, 11, 15330,    0, 12, 27912,   //  0,12 
+ -1, 12, 10637,   -1, 13, 12938,    0, 12, 15301,    0, 13, 26660,   //  0,13 
+ -1, 13, 11164,   -1, 14, 13787,    0, 13, 15220,    0, 14, 25365,   //  0,14 
+ -1, 14, 11702,   -1, 15, 14696,    0, 14, 15076,    0, 15, 24062,   //  0,15 
+  1, -1, 13787,    1,  0, 25366,    2, -1, 11164,    2,  0, 15219,   //  1, 0 
+  1,  0, 13853,    1,  1, 26893,    2,  0, 10644,    2,  1, 14146,   //  1, 1 
+  1,  1, 13850,    1,  2, 28427,    2,  1, 10119,    2,  2, 13140,   //  1, 2 
+  1,  2, 13789,    1,  3, 29928,    2,  2,  9603,    2,  3, 12216,   //  1, 3 
+  1,  3, 13694,    1,  4, 31339,    2,  3,  9118,    2,  4, 11385,   //  1, 4 
+  1,  4, 13600,    1,  5, 32586,    2,  4,  8685,    2,  5, 10665,   //  1, 5 
+  1,  5, 13548,    1,  6, 33585,    2,  5,  8329,    2,  6, 10074,   //  1, 6 
+  1,  6, 13582,    1,  7, 34261,    2,  6,  8068,    2,  7,  9625,   //  1, 7 
+  0,  7,  8024,    0,  8,  9534,    1,  7, 13638,    1,  8, 34340,   //  1, 8 
+  0,  8,  8286,    0,  9,  9961,    1,  8, 13647,    1,  9, 33642,   //  1, 9 
+  0,  9,  8645,    0, 10, 10528,    1,  9, 13740,    1, 10, 32623,   //  1,10 
+  0, 10,  9082,    0, 11, 11218,    1, 10, 13875,    1, 11, 31361,   //  1,11 
+  0, 11,  9575,    0, 12, 12014,    1, 11, 14009,    1, 12, 29938,   //  1,12 
+  0, 12, 10102,    0, 13, 12897,    1, 12, 14107,    1, 13, 28430,   //  1,13 
+  0, 13, 10644,    0, 14, 13853,    1, 13, 14145,    1, 14, 26894,   //  1,14 
+  0, 14, 11187,    0, 15, 14872,    1, 14, 14109,    1, 15, 25368,   //  1,15 
+  2, -1, 12938,    2,  0, 26660,    3, -1, 10637,    3,  0, 15301,   //  2, 0 
+  2,  0, 12897,    2,  1, 28430,    3,  0, 10102,    3,  1, 14107,   //  2, 1 
+  2,  1, 12769,    2,  2, 30239,    3,  1,  9546,    3,  2, 12982,   //  2, 2 
+  2,  2, 12569,    2,  3, 32045,    3,  2,  8988,    3,  3, 11934,   //  2, 3 
+  2,  3, 12323,    2,  4, 33777,    3,  3,  8452,    3,  4, 10984,   //  2, 4 
+  2,  4, 12079,    2,  5, 35332,    3,  4,  7969,    3,  5, 10156,   //  2, 5 
+  2,  5, 11897,    2,  6, 36582,    3,  5,  7573,    3,  6,  9484,   //  2, 6 
+  2,  6, 11842,    2,  7, 37402,    3,  6,  7298,    3,  7,  8994,   //  2, 7 
+  1,  7,  7266,    1,  8,  8918,    2,  7, 11883,    2,  8, 37469,   //  2, 8 
+  1,  8,  7543,    1,  9,  9390,    2,  8, 11972,    2,  9, 36631,   //  2, 9 
+  1,  9,  7943,    1, 10, 10041,    2,  9, 12188,    2, 10, 35364,   //  2,10 
+  1, 10,  8432,    1, 11, 10842,    2, 10, 12467,    2, 11, 33795,   //  2,11 
+  1, 11,  8976,    1, 12, 11760,    2, 11, 12747,    2, 12, 32053,   //  2,12 
+  1, 12,  9546,    1, 13, 12769,    2, 12, 12982,    2, 13, 30239,   //  2,13 
+  1, 13, 10119,    1, 14, 13850,    2, 13, 13141,    2, 14, 28426,   //  2,14 
+  1, 14, 10676,    1, 15, 14990,    2, 14, 13211,    2, 15, 26659,   //  2,15 
+  3, -1, 12159,    3,  0, 27912,    4, -1, 10135,    4,  0, 15330,   //  3, 0 
+  3,  0, 12014,    3,  1, 29938,    4,  0,  9575,    4,  1, 14009,   //  3, 1 
+  3,  1, 11760,    3,  2, 32052,    4,  1,  8976,    4,  2, 12748,   //  3, 2 
+  3,  2, 11411,    3,  3, 34213,    4,  2,  8358,    4,  3, 11554,   //  3, 3 
+  3,  3, 10995,    3,  4, 36343,    4,  3,  7746,    4,  4, 10452,   //  3, 4 
+  3,  4, 10569,    3,  5, 38307,    4,  4,  7180,    4,  5,  9480,   //  3, 5 
+  3,  5, 10221,    3,  6, 39912,    4,  5,  6714,    4,  6,  8689,   //  3, 6 
+  3,  6, 10051,    3,  7, 40940,    4,  6,  6403,    4,  7,  8142,   //  3, 7 
+  2,  7,  6381,    2,  8,  8082,    3,  7, 10079,    3,  8, 40994,   //  3, 8 
+  2,  8,  6695,    2,  9,  8617,    3,  8, 10275,    3,  9, 39949,   //  3, 9 
+  2,  9,  7165,    2, 10,  9388,    3,  9, 10653,    3, 10, 38330,   //  3,10 
+  2, 10,  7737,    2, 11, 10337,    3, 10, 11108,    3, 11, 36354,   //  3,11 
+  2, 11,  8358,    2, 12, 11411,    3, 11, 11554,    3, 12, 34213,   //  3,12 
+  2, 12,  8988,    2, 13, 12569,    3, 12, 11934,    3, 13, 32045,   //  3,13 
+  2, 13,  9603,    2, 14, 13789,    3, 13, 12216,    3, 14, 29928,   //  3,14 
+  2, 14, 10185,    2, 15, 15060,    3, 14, 12388,    3, 15, 27903,   //  3,15 
+  4, -1, 11461,    4,  0, 29078,    5, -1,  9673,    5,  0, 15324,   //  4, 0 
+  4,  0, 11218,    4,  1, 31361,    5,  0,  9082,    5,  1, 13875,   //  4, 1 
+  4,  1, 10842,    4,  2, 33795,    5,  1,  8432,    5,  2, 12467,   //  4, 2 
+  4,  2, 10337,    4,  3, 36354,    5,  2,  7737,    5,  3, 11108,   //  4, 3 
+  4,  3,  9730,    4,  4, 38966,    5,  3,  7022,    5,  4,  9818,   //  4, 4 
+  4,  4,  9081,    4,  5, 41475,    5,  4,  6334,    5,  5,  8646,   //  4, 5 
+  4,  5,  8507,    4,  6, 43602,    5,  5,  5749,    5,  6,  7678,   //  4, 6 
+  4,  6,  8177,    4,  7, 44962,    5,  6,  5368,    5,  7,  7029,   //  4, 7 
+  3,  7,  5354,    3,  8,  6987,    4,  7,  8195,    4,  8, 45000,   //  4, 8 
+  3,  8,  5739,    3,  9,  7626,    4,  8,  8545,    4,  9, 43626,   //  4, 9 
+  3,  9,  6328,    3, 10,  8578,    4,  9,  9143,    4, 10, 41487,   //  4,10 
+  3, 10,  7022,    3, 11,  9730,    4, 10,  9818,    4, 11, 38966,   //  4,11 
+  3, 11,  7746,    3, 12, 10995,    4, 11, 10452,    4, 12, 36343,   //  4,12 
+  3, 12,  8452,    3, 13, 12323,    4, 12, 10983,    4, 13, 33778,   //  4,13 
+  3, 13,  9118,    3, 14, 13694,    4, 13, 11385,    4, 14, 31339,   //  4,14 
+  3, 14,  9728,    3, 15, 15100,    4, 14, 11652,    4, 15, 29056,   //  4,15 
+  5, -1, 10855,    5,  0, 30105,    6, -1,  9265,    6,  0, 15311,   //  5, 0 
+  5,  0, 10528,    5,  1, 32624,    6,  0,  8645,    6,  1, 13739,   //  5, 1 
+  5,  1, 10041,    5,  2, 35364,    6,  1,  7943,    6,  2, 12188,   //  5, 2 
+  5,  2,  9388,    5,  3, 38330,    6,  2,  7165,    6,  3, 10653,   //  5, 3 
+  5,  3,  8578,    5,  4, 41487,    6,  3,  6328,    6,  4,  9143,   //  5, 4 
+  5,  4,  7659,    5,  5, 44700,    6,  4,  5472,    6,  5,  7705,   //  5, 5 
+  5,  5,  6768,    5,  6, 47619,    6,  5,  4694,    6,  6,  6455,   //  5, 6 
+  5,  6,  6183,    5,  7, 49566,    6,  6,  4172,    6,  7,  5615,   //  5, 7 
+  4,  7,  4164,    4,  8,  5590,    5,  7,  6193,    5,  8, 49589,   //  5, 8 
+  4,  8,  4690,    4,  9,  6422,    5,  8,  6794,    5,  9, 47630,   //  5, 9 
+  4,  9,  5472,    4, 10,  7659,    5,  9,  7705,    5, 10, 44700,   //  5,10 
+  4, 10,  6334,    4, 11,  9081,    5, 10,  8646,    5, 11, 41475,   //  5,11 
+  4, 11,  7180,    4, 12, 10569,    5, 11,  9479,    5, 12, 38308,   //  5,12 
+  4, 12,  7969,    4, 13, 12079,    5, 12, 10156,    5, 13, 35332,   //  5,13 
+  4, 13,  8685,    4, 14, 13600,    5, 13, 10665,    5, 14, 32586,   //  5,14 
+  4, 14,  9323,    4, 15, 15135,    5, 14, 11013,    5, 15, 30065,   //  5,15 
+  6, -1, 10351,    6,  0, 30939,    7, -1,  8927,    7,  0, 15319,   //  6, 0 
+  6,  0,  9961,    6,  1, 33642,    7,  0,  8286,    7,  1, 13647,   //  6, 1 
+  6,  1,  9390,    6,  2, 36631,    7,  1,  7543,    7,  2, 11972,   //  6, 2 
+  6,  2,  8617,    6,  3, 39949,    7,  2,  6695,    7,  3, 10275,   //  6, 3 
+  6,  3,  7626,    6,  4, 43626,    7,  3,  5739,    7,  4,  8545,   //  6, 4 
+  6,  4,  6422,    6,  5, 47630,    7,  4,  4690,    7,  5,  6794,   //  6, 5 
+  6,  5,  5099,    6,  6, 51701,    7,  5,  3620,    7,  6,  5116,   //  6, 6 
+  6,  6,  4044,    6,  7, 54831,    7,  6,  2797,    7,  7,  3864,   //  6, 7 
+  5,  7,  2795,    5,  8,  3853,    6,  7,  4049,    6,  8, 54839,   //  6, 8 
+  5,  8,  3620,    5,  9,  5099,    6,  8,  5116,    6,  9, 51701,   //  6, 9 
+  5,  9,  4694,    5, 10,  6768,    6,  9,  6455,    6, 10, 47619,   //  6,10 
+  5, 10,  5749,    5, 11,  8507,    6, 10,  7678,    6, 11, 43602,   //  6,11 
+  5, 11,  6714,    5, 12, 10221,    6, 11,  8690,    6, 12, 39911,   //  6,12 
+  5, 12,  7573,    5, 13, 11897,    6, 12,  9484,    6, 13, 36582,   //  6,13 
+  5, 13,  8329,    5, 14, 13548,    6, 13, 10074,    6, 14, 33585,   //  6,14 
+  5, 14,  8986,    5, 15, 15193,    6, 14, 10482,    6, 15, 30875,   //  6,15 
+  7, -1,  9959,    7,  0, 31532,    8, -1,  8669,    8,  0, 15376,   //  7, 0 
+  7,  0,  9534,    7,  1, 34340,    8,  0,  8024,    8,  1, 13638,   //  7, 1 
+  7,  1,  8918,    7,  2, 37470,    8,  1,  7266,    8,  2, 11882,   //  7, 2 
+  7,  2,  8082,    7,  3, 40994,    8,  2,  6381,    8,  3, 10079,   //  7, 3 
+  7,  3,  6987,    7,  4, 44999,    8,  3,  5354,    8,  4,  8196,   //  7, 4 
+  7,  4,  5590,    7,  5, 49588,    8,  4,  4164,    8,  5,  6194,   //  7, 5 
+  7,  5,  3853,    7,  6, 54839,    8,  5,  2795,    8,  6,  4049,   //  7, 6 
+  7,  6,  1903,    7,  7, 60382,    8,  6,  1347,    8,  7,  1904,   //  7, 7 
+  6,  7,  1347,    6,  8,  1903,    7,  7,  1905,    7,  8, 60381,   //  7, 8 
+  6,  8,  2797,    6,  9,  4044,    7,  8,  3864,    7,  9, 54831,   //  7, 9 
+  6,  9,  4172,    6, 10,  6183,    7,  9,  5615,    7, 10, 49566,   //  7,10 
+  6, 10,  5368,    6, 11,  8177,    7, 10,  7029,    7, 11, 44962,   //  7,11 
+  6, 11,  6403,    6, 12, 10051,    7, 11,  8141,    7, 12, 40941,   //  7,12 
+  6, 12,  7298,    6, 13, 11842,    7, 12,  8994,    7, 13, 37402,   //  7,13 
+  6, 13,  8068,    6, 14, 13582,    7, 13,  9626,    7, 14, 34260,   //  7,14 
+  6, 14,  8727,    6, 15, 15301,    7, 14, 10065,    7, 15, 31443,   //  7,15 
+  8,  0, 31444,    8,  1, 10065,    9,  0, 15301,    9,  1,  8726,   //  8, 0 
+  8,  1, 34261,    8,  2,  9626,    9,  1, 13582,    9,  2,  8067,   //  8, 1 
+  8,  2, 37402,    8,  3,  8994,    9,  2, 11842,    9,  3,  7298,   //  8, 2 
+  8,  3, 40940,    8,  4,  8141,    9,  3, 10051,    9,  4,  6404,   //  8, 3 
+  8,  4, 44962,    8,  5,  7029,    9,  4,  8177,    9,  5,  5368,   //  8, 4 
+  8,  5, 49566,    8,  6,  5615,    9,  5,  6183,    9,  6,  4172,   //  8, 5 
+  8,  6, 54831,    8,  7,  3864,    9,  6,  4044,    9,  7,  2797,   //  8, 6 
+  8,  7, 60382,    8,  8,  1905,    9,  7,  1903,    9,  8,  1346,   //  8, 7 
+  7,  8,  1905,    7,  9,  1347,    8,  8, 60382,    8,  9,  1902,   //  8, 8 
+  7,  9,  4049,    7, 10,  2795,    8,  9, 54839,    8, 10,  3853,   //  8, 9 
+  7, 10,  6193,    7, 11,  4164,    8, 10, 49588,    8, 11,  5591,   //  8,10 
+  7, 11,  8195,    7, 12,  5354,    8, 11, 44999,    8, 12,  6988,   //  8,11 
+  7, 12, 10079,    7, 13,  6381,    8, 12, 40994,    8, 13,  8082,   //  8,12 
+  7, 13, 11883,    7, 14,  7266,    8, 13, 37470,    8, 14,  8917,   //  8,13 
+  7, 14, 13638,    7, 15,  8024,    8, 14, 34340,    8, 15,  9534,   //  8,14 
+  7, 15, 15376,    7, 16,  8669,    8, 15, 31532,    8, 16,  9959,   //  8,15 
+  9,  0, 30876,    9,  1, 10482,   10,  0, 15193,   10,  1,  8985,   //  9, 0 
+  9,  1, 33585,    9,  2, 10074,   10,  1, 13548,   10,  2,  8329,   //  9, 1 
+  9,  2, 36582,    9,  3,  9484,   10,  2, 11897,   10,  3,  7573,   //  9, 2 
+  9,  3, 39912,    9,  4,  8690,   10,  3, 10221,   10,  4,  6713,   //  9, 3 
+  9,  4, 43602,    9,  5,  7678,   10,  4,  8507,   10,  5,  5749,   //  9, 4 
+  9,  5, 47619,    9,  6,  6455,   10,  5,  6768,   10,  6,  4694,   //  9, 5 
+  9,  6, 51701,    9,  7,  5116,   10,  6,  5099,   10,  7,  3620,   //  9, 6 
+  9,  7, 54839,    9,  8,  4049,   10,  7,  3853,   10,  8,  2795,   //  9, 7 
+  8,  8,  3864,    8,  9,  2797,    9,  8, 54831,    9,  9,  4044,   //  9, 8 
+  8,  9,  5116,    8, 10,  3620,    9,  9, 51701,    9, 10,  5099,   //  9, 9 
+  8, 10,  6794,    8, 11,  4690,    9, 10, 47630,    9, 11,  6422,   //  9,10 
+  8, 11,  8545,    8, 12,  5739,    9, 11, 43626,    9, 12,  7626,   //  9,11 
+  8, 12, 10275,    8, 13,  6695,    9, 12, 39949,    9, 13,  8617,   //  9,12 
+  8, 13, 11972,    8, 14,  7543,    9, 13, 36631,    9, 14,  9390,   //  9,13 
+  8, 14, 13647,    8, 15,  8286,    9, 14, 33642,    9, 15,  9961,   //  9,14 
+  8, 15, 15319,    8, 16,  8927,    9, 15, 30939,    9, 16, 10351,   //  9,15 
+ 10,  0, 30064,   10,  1, 11013,   11,  0, 15135,   11,  1,  9324,   // 10, 0 
+ 10,  1, 32586,   10,  2, 10665,   11,  1, 13600,   11,  2,  8685,   // 10, 1 
+ 10,  2, 35332,   10,  3, 10156,   11,  2, 12079,   11,  3,  7969,   // 10, 2 
+ 10,  3, 38307,   10,  4,  9479,   11,  3, 10569,   11,  4,  7181,   // 10, 3 
+ 10,  4, 41475,   10,  5,  8646,   11,  4,  9081,   11,  5,  6334,   // 10, 4 
+ 10,  5, 44700,   10,  6,  7705,   11,  5,  7659,   11,  6,  5472,   // 10, 5 
+ 10,  6, 47630,   10,  7,  6794,   11,  6,  6422,   11,  7,  4690,   // 10, 6 
+ 10,  7, 49588,   10,  8,  6193,   11,  7,  5590,   11,  8,  4165,   // 10, 7 
+  9,  8,  5615,    9,  9,  4172,   10,  8, 49566,   10,  9,  6183,   // 10, 8 
+  9,  9,  6455,    9, 10,  4694,   10,  9, 47619,   10, 10,  6768,   // 10, 9 
+  9, 10,  7705,    9, 11,  5472,   10, 10, 44700,   10, 11,  7659,   // 10,10 
+  9, 11,  9143,    9, 12,  6328,   10, 11, 41487,   10, 12,  8578,   // 10,11 
+  9, 12, 10653,    9, 13,  7165,   10, 12, 38330,   10, 13,  9388,   // 10,12 
+  9, 13, 12188,    9, 14,  7943,   10, 13, 35364,   10, 14, 10041,   // 10,13 
+  9, 14, 13740,    9, 15,  8645,   10, 14, 32624,   10, 15, 10527,   // 10,14 
+  9, 15, 15311,    9, 16,  9265,   10, 15, 30105,   10, 16, 10855,   // 10,15 
+ 11,  0, 29055,   11,  1, 11652,   12,  0, 15100,   12,  1,  9729,   // 11, 0 
+ 11,  1, 31339,   11,  2, 11385,   12,  1, 13694,   12,  2,  9118,   // 11, 1 
+ 11,  2, 33777,   11,  3, 10983,   12,  2, 12323,   12,  3,  8453,   // 11, 2 
+ 11,  3, 36343,   11,  4, 10452,   12,  3, 10995,   12,  4,  7746,   // 11, 3 
+ 11,  4, 38966,   11,  5,  9818,   12,  4,  9730,   12,  5,  7022,   // 11, 4 
+ 11,  5, 41487,   11,  6,  9143,   12,  5,  8578,   12,  6,  6328,   // 11, 5 
+ 11,  6, 43626,   11,  7,  8545,   12,  6,  7626,   12,  7,  5739,   // 11, 6 
+ 11,  7, 44999,   11,  8,  8195,   12,  7,  6987,   12,  8,  5355,   // 11, 7 
+ 10,  8,  7029,   10,  9,  5368,   11,  8, 44962,   11,  9,  8177,   // 11, 8 
+ 10,  9,  7678,   10, 10,  5749,   11,  9, 43602,   11, 10,  8507,   // 11, 9 
+ 10, 10,  8646,   10, 11,  6334,   11, 10, 41475,   11, 11,  9081,   // 11,10 
+ 10, 11,  9818,   10, 12,  7022,   11, 11, 38966,   11, 12,  9730,   // 11,11 
+ 10, 12, 11108,   10, 13,  7737,   11, 12, 36354,   11, 13, 10337,   // 11,12 
+ 10, 13, 12467,   10, 14,  8432,   11, 13, 33795,   11, 14, 10842,   // 11,13 
+ 10, 14, 13875,   10, 15,  9082,   11, 14, 31361,   11, 15, 11218,   // 11,14 
+ 10, 15, 15325,   10, 16,  9673,   11, 15, 29078,   11, 16, 11460,   // 11,15 
+ 12,  0, 27903,   12,  1, 12388,   13,  0, 15060,   13,  1, 10185,   // 12, 0 
+ 12,  1, 29928,   12,  2, 12216,   13,  1, 13789,   13,  2,  9603,   // 12, 1 
+ 12,  2, 32045,   12,  3, 11934,   13,  2, 12569,   13,  3,  8988,   // 12, 2 
+ 12,  3, 34213,   12,  4, 11554,   13,  3, 11411,   13,  4,  8358,   // 12, 3 
+ 12,  4, 36354,   12,  5, 11108,   13,  4, 10337,   13,  5,  7737,   // 12, 4 
+ 12,  5, 38330,   12,  6, 10653,   13,  5,  9388,   13,  6,  7165,   // 12, 5 
+ 12,  6, 39949,   12,  7, 10275,   13,  6,  8617,   13,  7,  6695,   // 12, 6 
+ 12,  7, 40994,   12,  8, 10079,   13,  7,  8082,   13,  8,  6381,   // 12, 7 
+ 11,  8,  8141,   11,  9,  6403,   12,  8, 40940,   12,  9, 10052,   // 12, 8 
+ 11,  9,  8690,   11, 10,  6714,   12,  9, 39912,   12, 10, 10220,   // 12, 9 
+ 11, 10,  9479,   11, 11,  7180,   12, 10, 38307,   12, 11, 10570,   // 12,10 
+ 11, 11, 10452,   11, 12,  7746,   12, 11, 36343,   12, 12, 10995,   // 12,11 
+ 11, 12, 11554,   11, 13,  8358,   12, 12, 34213,   12, 13, 11411,   // 12,12 
+ 11, 13, 12747,   11, 14,  8976,   12, 13, 32052,   12, 14, 11761,   // 12,13 
+ 11, 14, 14009,   11, 15,  9575,   12, 14, 29938,   12, 15, 12014,   // 12,14 
+ 11, 15, 15330,   11, 16, 10135,   12, 15, 27912,   12, 16, 12159,   // 12,15 
+ 13,  0, 26660,   13,  1, 13211,   14,  0, 14990,   14,  1, 10675,   // 13, 0 
+ 13,  1, 28427,   13,  2, 13141,   14,  1, 13850,   14,  2, 10118,   // 13, 1 
+ 13,  2, 30239,   13,  3, 12982,   14,  2, 12769,   14,  3,  9546,   // 13, 2 
+ 13,  3, 32052,   13,  4, 12747,   14,  3, 11760,   14,  4,  8977,   // 13, 3 
+ 13,  4, 33795,   13,  5, 12467,   14,  4, 10842,   14,  5,  8432,   // 13, 4 
+ 13,  5, 35364,   13,  6, 12188,   14,  5, 10041,   14,  6,  7943,   // 13, 5 
+ 13,  6, 36631,   13,  7, 11972,   14,  6,  9390,   14,  7,  7543,   // 13, 6 
+ 13,  7, 37470,   13,  8, 11883,   14,  7,  8918,   14,  8,  7265,   // 13, 7 
+ 12,  8,  8994,   12,  9,  7298,   13,  8, 37402,   13,  9, 11842,   // 13, 8 
+ 12,  9,  9484,   12, 10,  7573,   13,  9, 36582,   13, 10, 11897,   // 13, 9 
+ 12, 10, 10156,   12, 11,  7969,   13, 10, 35332,   13, 11, 12079,   // 13,10 
+ 12, 11, 10983,   12, 12,  8452,   13, 11, 33777,   13, 12, 12324,   // 13,11 
+ 12, 12, 11934,   12, 13,  8988,   13, 12, 32045,   13, 13, 12569,   // 13,12 
+ 12, 13, 12982,   12, 14,  9546,   13, 13, 30239,   13, 14, 12769,   // 13,13 
+ 12, 14, 14107,   12, 15, 10102,   13, 14, 28430,   13, 15, 12897,   // 13,14 
+ 12, 15, 15301,   12, 16, 10637,   13, 15, 26660,   13, 16, 12938,   // 13,15 
+ 14,  0, 25368,   14,  1, 14109,   15,  0, 14872,   15,  1, 11187,   // 14, 0 
+ 14,  1, 26893,   14,  2, 14145,   15,  1, 13853,   15,  2, 10645,   // 14, 1 
+ 14,  2, 28430,   14,  3, 14107,   15,  2, 12897,   15,  3, 10102,   // 14, 2 
+ 14,  3, 29938,   14,  4, 14009,   15,  3, 12014,   15,  4,  9575,   // 14, 3 
+ 14,  4, 31361,   14,  5, 13875,   15,  4, 11218,   15,  5,  9082,   // 14, 4 
+ 14,  5, 32624,   14,  6, 13740,   15,  5, 10528,   15,  6,  8644,   // 14, 5 
+ 14,  6, 33642,   14,  7, 13647,   15,  6,  9961,   15,  7,  8286,   // 14, 6 
+ 14,  7, 34340,   14,  8, 13638,   15,  7,  9534,   15,  8,  8024,   // 14, 7 
+ 13,  8,  9626,   13,  9,  8068,   14,  8, 34261,   14,  9, 13581,   // 14, 8 
+ 13,  9, 10074,   13, 10,  8329,   14,  9, 33585,   14, 10, 13548,   // 14, 9 
+ 13, 10, 10665,   13, 11,  8685,   14, 10, 32586,   14, 11, 13600,   // 14,10 
+ 13, 11, 11385,   13, 12,  9118,   14, 11, 31339,   14, 12, 13694,   // 14,11 
+ 13, 12, 12216,   13, 13,  9603,   14, 12, 29928,   14, 13, 13789,   // 14,12 
+ 13, 13, 13141,   13, 14, 10119,   14, 13, 28427,   14, 14, 13849,   // 14,13 
+ 13, 14, 14145,   13, 15, 10644,   14, 14, 26893,   14, 15, 13854,   // 14,14 
+ 13, 15, 15220,   13, 16, 11164,   14, 15, 25366,   14, 16, 13786,   // 14,15 
+ 15,  0, 24063,   15,  1, 15076,   16,  0, 14696,   16,  1, 11701,   // 15, 0 
+ 15,  1, 25366,   15,  2, 15220,   16,  1, 13787,   16,  2, 11163,   // 15, 1 
+ 15,  2, 26660,   15,  3, 15301,   16,  2, 12938,   16,  3, 10637,   // 15, 2 
+ 15,  3, 27912,   15,  4, 15330,   16,  3, 12159,   16,  4, 10135,   // 15, 3 
+ 15,  4, 29078,   15,  5, 15325,   16,  4, 11461,   16,  5,  9672,   // 15, 4 
+ 15,  5, 30105,   15,  6, 15311,   16,  5, 10855,   16,  6,  9265,   // 15, 5 
+ 15,  6, 30939,   15,  7, 15319,   16,  6, 10351,   16,  7,  8927,   // 15, 6 
+ 15,  7, 31532,   15,  8, 15376,   16,  7,  9959,   16,  8,  8669,   // 15, 7 
+ 14,  8, 10065,   14,  9,  8727,   15,  8, 31444,   15,  9, 15300,   // 15, 8 
+ 14,  9, 10482,   14, 10,  8986,   15,  9, 30876,   15, 10, 15192,   // 15, 9 
+ 14, 10, 11013,   14, 11,  9323,   15, 10, 30064,   15, 11, 15136,   // 15,10 
+ 14, 11, 11652,   14, 12,  9728,   15, 11, 29055,   15, 12, 15101,   // 15,11 
+ 14, 12, 12388,   14, 13, 10185,   15, 12, 27903,   15, 13, 15060,   // 15,12 
+ 14, 13, 13211,   14, 14, 10676,   15, 13, 26660,   15, 14, 14989,   // 15,13 
+ 14, 14, 14109,   14, 15, 11187,   15, 14, 25368,   15, 15, 14872,   // 15,14 
+ 14, 15, 15076,   14, 16, 11702,   15, 15, 24063,   15, 16, 14695,   // 15,15 
diff --git a/vp8/common/rotate2.h b/vp8/common/rotate2.h
new file mode 100644
index 0000000..580f552
--- /dev/null
+++ b/vp8/common/rotate2.h
@@ -0,0 +1,2827 @@
+ // angle of -2.5 degrees
+ -1,  0, 14696,   -1,  1, 11702,    0,  0, 24063,    0,  1, 15075,   //  0, 0 
+ -1,  1, 13787,   -1,  2, 11164,    0,  1, 25366,    0,  2, 15219,   //  0, 1 
+ -1,  2, 12938,   -1,  3, 10637,    0,  2, 26660,    0,  3, 15301,   //  0, 2 
+ -1,  3, 12159,   -1,  4, 10135,    0,  3, 27912,    0,  4, 15330,   //  0, 3 
+ -1,  4, 11461,   -1,  5,  9673,    0,  4, 29078,    0,  5, 15324,   //  0, 4 
+ -1,  5, 10855,   -1,  6,  9265,    0,  5, 30105,    0,  6, 15311,   //  0, 5 
+ -1,  6, 10351,   -1,  7,  8927,    0,  6, 30939,    0,  7, 15319,   //  0, 6 
+ -1,  7,  9959,   -1,  8,  8669,    0,  7, 31532,    0,  8, 15376,   //  0, 7 
+  0,  8, 31444,    0,  9, 15301,    1,  8, 10065,    1,  9,  8726,   //  0, 8 
+  0,  9, 30876,    0, 10, 15193,    1,  9, 10482,    1, 10,  8985,   //  0, 9 
+  0, 10, 30064,    0, 11, 15135,    1, 10, 11013,    1, 11,  9324,   //  0,10 
+  0, 11, 29055,    0, 12, 15100,    1, 11, 11652,    1, 12,  9729,   //  0,11 
+  0, 12, 27903,    0, 13, 15060,    1, 12, 12388,    1, 13, 10185,   //  0,12 
+  0, 13, 26660,    0, 14, 14990,    1, 13, 13211,    1, 14, 10675,   //  0,13 
+  0, 14, 25368,    0, 15, 14872,    1, 14, 14109,    1, 15, 11187,   //  0,14 
+  0, 15, 24063,    0, 16, 14696,    1, 15, 15076,    1, 16, 11701,   //  0,15 
+  0,  0, 14872,    0,  1, 11187,    1,  0, 25368,    1,  1, 14109,   //  1, 0 
+  0,  1, 13853,    0,  2, 10644,    1,  1, 26893,    1,  2, 14146,   //  1, 1 
+  0,  2, 12897,    0,  3, 10102,    1,  2, 28430,    1,  3, 14107,   //  1, 2 
+  0,  3, 12014,    0,  4,  9575,    1,  3, 29938,    1,  4, 14009,   //  1, 3 
+  0,  4, 11218,    0,  5,  9082,    1,  4, 31361,    1,  5, 13875,   //  1, 4 
+  0,  5, 10528,    0,  6,  8645,    1,  5, 32624,    1,  6, 13739,   //  1, 5 
+  0,  6,  9961,    0,  7,  8286,    1,  6, 33642,    1,  7, 13647,   //  1, 6 
+  0,  7,  9534,    0,  8,  8024,    1,  7, 34340,    1,  8, 13638,   //  1, 7 
+  1,  8, 34261,    1,  9, 13582,    2,  8,  9626,    2,  9,  8067,   //  1, 8 
+  1,  9, 33585,    1, 10, 13548,    2,  9, 10074,    2, 10,  8329,   //  1, 9 
+  1, 10, 32586,    1, 11, 13600,    2, 10, 10665,    2, 11,  8685,   //  1,10 
+  1, 11, 31339,    1, 12, 13694,    2, 11, 11385,    2, 12,  9118,   //  1,11 
+  1, 12, 29928,    1, 13, 13789,    2, 12, 12216,    2, 13,  9603,   //  1,12 
+  1, 13, 28427,    1, 14, 13850,    2, 13, 13141,    2, 14, 10118,   //  1,13 
+  1, 14, 26893,    1, 15, 13853,    2, 14, 14145,    2, 15, 10645,   //  1,14 
+  1, 15, 25366,    1, 16, 13787,    2, 15, 15220,    2, 16, 11163,   //  1,15 
+  1,  0, 14990,    1,  1, 10676,    2,  0, 26660,    2,  1, 13210,   //  2, 0 
+  1,  1, 13850,    1,  2, 10119,    2,  1, 28427,    2,  2, 13140,   //  2, 1 
+  1,  2, 12769,    1,  3,  9546,    2,  2, 30239,    2,  3, 12982,   //  2, 2 
+  1,  3, 11760,    1,  4,  8976,    2,  3, 32052,    2,  4, 12748,   //  2, 3 
+  1,  4, 10842,    1,  5,  8432,    2,  4, 33795,    2,  5, 12467,   //  2, 4 
+  1,  5, 10041,    1,  6,  7943,    2,  5, 35364,    2,  6, 12188,   //  2, 5 
+  1,  6,  9390,    1,  7,  7543,    2,  6, 36631,    2,  7, 11972,   //  2, 6 
+  1,  7,  8918,    1,  8,  7266,    2,  7, 37470,    2,  8, 11882,   //  2, 7 
+  2,  8, 37402,    2,  9, 11842,    3,  8,  8994,    3,  9,  7298,   //  2, 8 
+  2,  9, 36582,    2, 10, 11897,    3,  9,  9484,    3, 10,  7573,   //  2, 9 
+  2, 10, 35332,    2, 11, 12079,    3, 10, 10156,    3, 11,  7969,   //  2,10 
+  2, 11, 33777,    2, 12, 12323,    3, 11, 10983,    3, 12,  8453,   //  2,11 
+  2, 12, 32045,    2, 13, 12569,    3, 12, 11934,    3, 13,  8988,   //  2,12 
+  2, 13, 30239,    2, 14, 12769,    3, 13, 12982,    3, 14,  9546,   //  2,13 
+  2, 14, 28430,    2, 15, 12897,    3, 14, 14107,    3, 15, 10102,   //  2,14 
+  2, 15, 26660,    2, 16, 12938,    3, 15, 15301,    3, 16, 10637,   //  2,15 
+  2,  0, 15060,    2,  1, 10185,    3,  0, 27903,    3,  1, 12388,   //  3, 0 
+  2,  1, 13789,    2,  2,  9603,    3,  1, 29928,    3,  2, 12216,   //  3, 1 
+  2,  2, 12569,    2,  3,  8988,    3,  2, 32045,    3,  3, 11934,   //  3, 2 
+  2,  3, 11411,    2,  4,  8358,    3,  3, 34213,    3,  4, 11554,   //  3, 3 
+  2,  4, 10337,    2,  5,  7737,    3,  4, 36354,    3,  5, 11108,   //  3, 4 
+  2,  5,  9388,    2,  6,  7165,    3,  5, 38330,    3,  6, 10653,   //  3, 5 
+  2,  6,  8617,    2,  7,  6695,    3,  6, 39949,    3,  7, 10275,   //  3, 6 
+  2,  7,  8082,    2,  8,  6381,    3,  7, 40994,    3,  8, 10079,   //  3, 7 
+  3,  8, 40940,    3,  9, 10051,    4,  8,  8141,    4,  9,  6404,   //  3, 8 
+  3,  9, 39912,    3, 10, 10221,    4,  9,  8690,    4, 10,  6713,   //  3, 9 
+  3, 10, 38307,    3, 11, 10569,    4, 10,  9479,    4, 11,  7181,   //  3,10 
+  3, 11, 36343,    3, 12, 10995,    4, 11, 10452,    4, 12,  7746,   //  3,11 
+  3, 12, 34213,    3, 13, 11411,    4, 12, 11554,    4, 13,  8358,   //  3,12 
+  3, 13, 32052,    3, 14, 11760,    4, 13, 12747,    4, 14,  8977,   //  3,13 
+  3, 14, 29938,    3, 15, 12014,    4, 14, 14009,    4, 15,  9575,   //  3,14 
+  3, 15, 27912,    3, 16, 12159,    4, 15, 15330,    4, 16, 10135,   //  3,15 
+  3,  0, 15100,    3,  1,  9728,    4,  0, 29055,    4,  1, 11653,   //  4, 0 
+  3,  1, 13694,    3,  2,  9118,    4,  1, 31339,    4,  2, 11385,   //  4, 1 
+  3,  2, 12323,    3,  3,  8452,    4,  2, 33777,    4,  3, 10984,   //  4, 2 
+  3,  3, 10995,    3,  4,  7746,    4,  3, 36343,    4,  4, 10452,   //  4, 3 
+  3,  4,  9730,    3,  5,  7022,    4,  4, 38966,    4,  5,  9818,   //  4, 4 
+  3,  5,  8578,    3,  6,  6328,    4,  5, 41487,    4,  6,  9143,   //  4, 5 
+  3,  6,  7626,    3,  7,  5739,    4,  6, 43626,    4,  7,  8545,   //  4, 6 
+  3,  7,  6987,    3,  8,  5354,    4,  7, 44999,    4,  8,  8196,   //  4, 7 
+  4,  8, 44962,    4,  9,  8177,    5,  8,  7029,    5,  9,  5368,   //  4, 8 
+  4,  9, 43602,    4, 10,  8507,    5,  9,  7678,    5, 10,  5749,   //  4, 9 
+  4, 10, 41475,    4, 11,  9081,    5, 10,  8646,    5, 11,  6334,   //  4,10 
+  4, 11, 38966,    4, 12,  9730,    5, 11,  9818,    5, 12,  7022,   //  4,11 
+  4, 12, 36354,    4, 13, 10337,    5, 12, 11108,    5, 13,  7737,   //  4,12 
+  4, 13, 33795,    4, 14, 10842,    5, 13, 12467,    5, 14,  8432,   //  4,13 
+  4, 14, 31361,    4, 15, 11218,    5, 14, 13875,    5, 15,  9082,   //  4,14 
+  4, 15, 29078,    4, 16, 11461,    5, 15, 15325,    5, 16,  9672,   //  4,15 
+  4,  0, 15135,    4,  1,  9323,    5,  0, 30064,    5,  1, 11014,   //  5, 0 
+  4,  1, 13600,    4,  2,  8685,    5,  1, 32586,    5,  2, 10665,   //  5, 1 
+  4,  2, 12079,    4,  3,  7969,    5,  2, 35332,    5,  3, 10156,   //  5, 2 
+  4,  3, 10569,    4,  4,  7180,    5,  3, 38307,    5,  4,  9480,   //  5, 3 
+  4,  4,  9081,    4,  5,  6334,    5,  4, 41475,    5,  5,  8646,   //  5, 4 
+  4,  5,  7659,    4,  6,  5472,    5,  5, 44700,    5,  6,  7705,   //  5, 5 
+  4,  6,  6422,    4,  7,  4690,    5,  6, 47630,    5,  7,  6794,   //  5, 6 
+  4,  7,  5590,    4,  8,  4164,    5,  7, 49588,    5,  8,  6194,   //  5, 7 
+  5,  8, 49566,    5,  9,  6183,    6,  8,  5615,    6,  9,  4172,   //  5, 8 
+  5,  9, 47619,    5, 10,  6768,    6,  9,  6455,    6, 10,  4694,   //  5, 9 
+  5, 10, 44700,    5, 11,  7659,    6, 10,  7705,    6, 11,  5472,   //  5,10 
+  5, 11, 41487,    5, 12,  8578,    6, 11,  9143,    6, 12,  6328,   //  5,11 
+  5, 12, 38330,    5, 13,  9388,    6, 12, 10653,    6, 13,  7165,   //  5,12 
+  5, 13, 35364,    5, 14, 10041,    6, 13, 12188,    6, 14,  7943,   //  5,13 
+  5, 14, 32624,    5, 15, 10528,    6, 14, 13740,    6, 15,  8644,   //  5,14 
+  5, 15, 30105,    5, 16, 10855,    6, 15, 15311,    6, 16,  9265,   //  5,15 
+  5,  0, 15193,    5,  1,  8986,    6,  0, 30876,    6,  1, 10481,   //  6, 0 
+  5,  1, 13548,    5,  2,  8329,    6,  1, 33585,    6,  2, 10074,   //  6, 1 
+  5,  2, 11897,    5,  3,  7573,    6,  2, 36582,    6,  3,  9484,   //  6, 2 
+  5,  3, 10221,    5,  4,  6714,    6,  3, 39912,    6,  4,  8689,   //  6, 3 
+  5,  4,  8507,    5,  5,  5749,    6,  4, 43602,    6,  5,  7678,   //  6, 4 
+  5,  5,  6768,    5,  6,  4694,    6,  5, 47619,    6,  6,  6455,   //  6, 5 
+  5,  6,  5099,    5,  7,  3620,    6,  6, 51701,    6,  7,  5116,   //  6, 6 
+  5,  7,  3853,    5,  8,  2795,    6,  7, 54839,    6,  8,  4049,   //  6, 7 
+  6,  8, 54831,    6,  9,  4044,    7,  8,  3864,    7,  9,  2797,   //  6, 8 
+  6,  9, 51701,    6, 10,  5099,    7,  9,  5116,    7, 10,  3620,   //  6, 9 
+  6, 10, 47630,    6, 11,  6422,    7, 10,  6794,    7, 11,  4690,   //  6,10 
+  6, 11, 43626,    6, 12,  7626,    7, 11,  8545,    7, 12,  5739,   //  6,11 
+  6, 12, 39949,    6, 13,  8617,    7, 12, 10275,    7, 13,  6695,   //  6,12 
+  6, 13, 36631,    6, 14,  9390,    7, 13, 11972,    7, 14,  7543,   //  6,13 
+  6, 14, 33642,    6, 15,  9961,    7, 14, 13647,    7, 15,  8286,   //  6,14 
+  6, 15, 30939,    6, 16, 10351,    7, 15, 15319,    7, 16,  8927,   //  6,15 
+  6,  0, 15301,    6,  1,  8727,    7,  0, 31444,    7,  1, 10064,   //  7, 0 
+  6,  1, 13582,    6,  2,  8068,    7,  1, 34261,    7,  2,  9625,   //  7, 1 
+  6,  2, 11842,    6,  3,  7298,    7,  2, 37402,    7,  3,  8994,   //  7, 2 
+  6,  3, 10051,    6,  4,  6403,    7,  3, 40940,    7,  4,  8142,   //  7, 3 
+  6,  4,  8177,    6,  5,  5368,    7,  4, 44962,    7,  5,  7029,   //  7, 4 
+  6,  5,  6183,    6,  6,  4172,    7,  5, 49566,    7,  6,  5615,   //  7, 5 
+  6,  6,  4044,    6,  7,  2797,    7,  6, 54831,    7,  7,  3864,   //  7, 6 
+  6,  7,  1903,    6,  8,  1347,    7,  7, 60382,    7,  8,  1904,   //  7, 7 
+  7,  8, 60382,    7,  9,  1903,    8,  8,  1905,    8,  9,  1346,   //  7, 8 
+  7,  9, 54839,    7, 10,  3853,    8,  9,  4049,    8, 10,  2795,   //  7, 9 
+  7, 10, 49588,    7, 11,  5590,    8, 10,  6193,    8, 11,  4165,   //  7,10 
+  7, 11, 44999,    7, 12,  6987,    8, 11,  8195,    8, 12,  5355,   //  7,11 
+  7, 12, 40994,    7, 13,  8082,    8, 12, 10079,    8, 13,  6381,   //  7,12 
+  7, 13, 37470,    7, 14,  8918,    8, 13, 11883,    8, 14,  7265,   //  7,13 
+  7, 14, 34340,    7, 15,  9534,    8, 14, 13638,    8, 15,  8024,   //  7,14 
+  7, 15, 31532,    7, 16,  9959,    8, 15, 15376,    8, 16,  8669,   //  7,15 
+  7, -1,  8669,    7,  0, 15376,    8, -1,  9959,    8,  0, 31532,   //  8, 0 
+  7,  0,  8024,    7,  1, 13638,    8,  0,  9534,    8,  1, 34340,   //  8, 1 
+  7,  1,  7266,    7,  2, 11883,    8,  1,  8918,    8,  2, 37469,   //  8, 2 
+  7,  2,  6381,    7,  3, 10079,    8,  2,  8082,    8,  3, 40994,   //  8, 3 
+  7,  3,  5354,    7,  4,  8195,    8,  3,  6987,    8,  4, 45000,   //  8, 4 
+  7,  4,  4164,    7,  5,  6193,    8,  4,  5590,    8,  5, 49589,   //  8, 5 
+  7,  5,  2795,    7,  6,  4049,    8,  5,  3853,    8,  6, 54839,   //  8, 6 
+  7,  6,  1347,    7,  7,  1905,    8,  6,  1903,    8,  7, 60381,   //  8, 7 
+  8,  7,  1905,    8,  8, 60382,    9,  7,  1347,    9,  8,  1902,   //  8, 8 
+  8,  8,  3864,    8,  9, 54831,    9,  8,  2797,    9,  9,  4044,   //  8, 9 
+  8,  9,  5615,    8, 10, 49566,    9,  9,  4172,    9, 10,  6183,   //  8,10 
+  8, 10,  7029,    8, 11, 44962,    9, 10,  5368,    9, 11,  8177,   //  8,11 
+  8, 11,  8141,    8, 12, 40940,    9, 11,  6403,    9, 12, 10052,   //  8,12 
+  8, 12,  8994,    8, 13, 37402,    9, 12,  7298,    9, 13, 11842,   //  8,13 
+  8, 13,  9626,    8, 14, 34261,    9, 13,  8068,    9, 14, 13581,   //  8,14 
+  8, 14, 10065,    8, 15, 31444,    9, 14,  8727,    9, 15, 15300,   //  8,15 
+  8, -1,  8927,    8,  0, 15319,    9, -1, 10351,    9,  0, 30939,   //  9, 0 
+  8,  0,  8286,    8,  1, 13647,    9,  0,  9961,    9,  1, 33642,   //  9, 1 
+  8,  1,  7543,    8,  2, 11972,    9,  1,  9390,    9,  2, 36631,   //  9, 2 
+  8,  2,  6695,    8,  3, 10275,    9,  2,  8617,    9,  3, 39949,   //  9, 3 
+  8,  3,  5739,    8,  4,  8545,    9,  3,  7626,    9,  4, 43626,   //  9, 4 
+  8,  4,  4690,    8,  5,  6794,    9,  4,  6422,    9,  5, 47630,   //  9, 5 
+  8,  5,  3620,    8,  6,  5116,    9,  5,  5099,    9,  6, 51701,   //  9, 6 
+  8,  6,  2797,    8,  7,  3864,    9,  6,  4044,    9,  7, 54831,   //  9, 7 
+  9,  7,  4049,    9,  8, 54839,   10,  7,  2795,   10,  8,  3853,   //  9, 8 
+  9,  8,  5116,    9,  9, 51701,   10,  8,  3620,   10,  9,  5099,   //  9, 9 
+  9,  9,  6455,    9, 10, 47619,   10,  9,  4694,   10, 10,  6768,   //  9,10 
+  9, 10,  7678,    9, 11, 43602,   10, 10,  5749,   10, 11,  8507,   //  9,11 
+  9, 11,  8690,    9, 12, 39912,   10, 11,  6714,   10, 12, 10220,   //  9,12 
+  9, 12,  9484,    9, 13, 36582,   10, 12,  7573,   10, 13, 11897,   //  9,13 
+  9, 13, 10074,    9, 14, 33585,   10, 13,  8329,   10, 14, 13548,   //  9,14 
+  9, 14, 10482,    9, 15, 30876,   10, 14,  8986,   10, 15, 15192,   //  9,15 
+  9, -1,  9265,    9,  0, 15311,   10, -1, 10855,   10,  0, 30105,   // 10, 0 
+  9,  0,  8645,    9,  1, 13740,   10,  0, 10528,   10,  1, 32623,   // 10, 1 
+  9,  1,  7943,    9,  2, 12188,   10,  1, 10041,   10,  2, 35364,   // 10, 2 
+  9,  2,  7165,    9,  3, 10653,   10,  2,  9388,   10,  3, 38330,   // 10, 3 
+  9,  3,  6328,    9,  4,  9143,   10,  3,  8578,   10,  4, 41487,   // 10, 4 
+  9,  4,  5472,    9,  5,  7705,   10,  4,  7659,   10,  5, 44700,   // 10, 5 
+  9,  5,  4694,    9,  6,  6455,   10,  5,  6768,   10,  6, 47619,   // 10, 6 
+  9,  6,  4172,    9,  7,  5615,   10,  6,  6183,   10,  7, 49566,   // 10, 7 
+ 10,  7,  6193,   10,  8, 49588,   11,  7,  4164,   11,  8,  5591,   // 10, 8 
+ 10,  8,  6794,   10,  9, 47630,   11,  8,  4690,   11,  9,  6422,   // 10, 9 
+ 10,  9,  7705,   10, 10, 44700,   11,  9,  5472,   11, 10,  7659,   // 10,10 
+ 10, 10,  8646,   10, 11, 41475,   11, 10,  6334,   11, 11,  9081,   // 10,11 
+ 10, 11,  9479,   10, 12, 38307,   11, 11,  7180,   11, 12, 10570,   // 10,12 
+ 10, 12, 10156,   10, 13, 35332,   11, 12,  7969,   11, 13, 12079,   // 10,13 
+ 10, 13, 10665,   10, 14, 32586,   11, 13,  8685,   11, 14, 13600,   // 10,14 
+ 10, 14, 11013,   10, 15, 30064,   11, 14,  9323,   11, 15, 15136,   // 10,15 
+ 10, -1,  9673,   10,  0, 15325,   11, -1, 11461,   11,  0, 29077,   // 11, 0 
+ 10,  0,  9082,   10,  1, 13875,   11,  0, 11218,   11,  1, 31361,   // 11, 1 
+ 10,  1,  8432,   10,  2, 12467,   11,  1, 10842,   11,  2, 33795,   // 11, 2 
+ 10,  2,  7737,   10,  3, 11108,   11,  2, 10337,   11,  3, 36354,   // 11, 3 
+ 10,  3,  7022,   10,  4,  9818,   11,  3,  9730,   11,  4, 38966,   // 11, 4 
+ 10,  4,  6334,   10,  5,  8646,   11,  4,  9081,   11,  5, 41475,   // 11, 5 
+ 10,  5,  5749,   10,  6,  7678,   11,  5,  8507,   11,  6, 43602,   // 11, 6 
+ 10,  6,  5368,   10,  7,  7029,   11,  6,  8177,   11,  7, 44962,   // 11, 7 
+ 11,  7,  8195,   11,  8, 44999,   12,  7,  5354,   12,  8,  6988,   // 11, 8 
+ 11,  8,  8545,   11,  9, 43626,   12,  8,  5739,   12,  9,  7626,   // 11, 9 
+ 11,  9,  9143,   11, 10, 41487,   12,  9,  6328,   12, 10,  8578,   // 11,10 
+ 11, 10,  9818,   11, 11, 38966,   12, 10,  7022,   12, 11,  9730,   // 11,11 
+ 11, 11, 10452,   11, 12, 36343,   12, 11,  7746,   12, 12, 10995,   // 11,12 
+ 11, 12, 10983,   11, 13, 33777,   12, 12,  8452,   12, 13, 12324,   // 11,13 
+ 11, 13, 11385,   11, 14, 31339,   12, 13,  9118,   12, 14, 13694,   // 11,14 
+ 11, 14, 11652,   11, 15, 29055,   12, 14,  9728,   12, 15, 15101,   // 11,15 
+ 11, -1, 10135,   11,  0, 15330,   12, -1, 12159,   12,  0, 27912,   // 12, 0 
+ 11,  0,  9575,   11,  1, 14009,   12,  0, 12014,   12,  1, 29938,   // 12, 1 
+ 11,  1,  8976,   11,  2, 12747,   12,  1, 11760,   12,  2, 32053,   // 12, 2 
+ 11,  2,  8358,   11,  3, 11554,   12,  2, 11411,   12,  3, 34213,   // 12, 3 
+ 11,  3,  7746,   11,  4, 10452,   12,  3, 10995,   12,  4, 36343,   // 12, 4 
+ 11,  4,  7180,   11,  5,  9479,   12,  4, 10569,   12,  5, 38308,   // 12, 5 
+ 11,  5,  6714,   11,  6,  8690,   12,  5, 10221,   12,  6, 39911,   // 12, 6 
+ 11,  6,  6403,   11,  7,  8141,   12,  6, 10051,   12,  7, 40941,   // 12, 7 
+ 12,  7, 10079,   12,  8, 40994,   13,  7,  6381,   13,  8,  8082,   // 12, 8 
+ 12,  8, 10275,   12,  9, 39949,   13,  8,  6695,   13,  9,  8617,   // 12, 9 
+ 12,  9, 10653,   12, 10, 38330,   13,  9,  7165,   13, 10,  9388,   // 12,10 
+ 12, 10, 11108,   12, 11, 36354,   13, 10,  7737,   13, 11, 10337,   // 12,11 
+ 12, 11, 11554,   12, 12, 34213,   13, 11,  8358,   13, 12, 11411,   // 12,12 
+ 12, 12, 11934,   12, 13, 32045,   13, 12,  8988,   13, 13, 12569,   // 12,13 
+ 12, 13, 12216,   12, 14, 29928,   13, 13,  9603,   13, 14, 13789,   // 12,14 
+ 12, 14, 12388,   12, 15, 27903,   13, 14, 10185,   13, 15, 15060,   // 12,15 
+ 12, -1, 10637,   12,  0, 15301,   13, -1, 12938,   13,  0, 26660,   // 13, 0 
+ 12,  0, 10102,   12,  1, 14107,   13,  0, 12897,   13,  1, 28430,   // 13, 1 
+ 12,  1,  9546,   12,  2, 12982,   13,  1, 12769,   13,  2, 30239,   // 13, 2 
+ 12,  2,  8988,   12,  3, 11934,   13,  2, 12569,   13,  3, 32045,   // 13, 3 
+ 12,  3,  8452,   12,  4, 10983,   13,  3, 12323,   13,  4, 33778,   // 13, 4 
+ 12,  4,  7969,   12,  5, 10156,   13,  4, 12079,   13,  5, 35332,   // 13, 5 
+ 12,  5,  7573,   12,  6,  9484,   13,  5, 11897,   13,  6, 36582,   // 13, 6 
+ 12,  6,  7298,   12,  7,  8994,   13,  6, 11842,   13,  7, 37402,   // 13, 7 
+ 13,  7, 11883,   13,  8, 37470,   14,  7,  7266,   14,  8,  8917,   // 13, 8 
+ 13,  8, 11972,   13,  9, 36631,   14,  8,  7543,   14,  9,  9390,   // 13, 9 
+ 13,  9, 12188,   13, 10, 35364,   14,  9,  7943,   14, 10, 10041,   // 13,10 
+ 13, 10, 12467,   13, 11, 33795,   14, 10,  8432,   14, 11, 10842,   // 13,11 
+ 13, 11, 12747,   13, 12, 32052,   14, 11,  8976,   14, 12, 11761,   // 13,12 
+ 13, 12, 12982,   13, 13, 30239,   14, 12,  9546,   14, 13, 12769,   // 13,13 
+ 13, 13, 13141,   13, 14, 28427,   14, 13, 10119,   14, 14, 13849,   // 13,14 
+ 13, 14, 13211,   13, 15, 26660,   14, 14, 10676,   14, 15, 14989,   // 13,15 
+ 13, -1, 11164,   13,  0, 15220,   14, -1, 13787,   14,  0, 25365,   // 14, 0 
+ 13,  0, 10644,   13,  1, 14145,   14,  0, 13853,   14,  1, 26894,   // 14, 1 
+ 13,  1, 10119,   13,  2, 13141,   14,  1, 13850,   14,  2, 28426,   // 14, 2 
+ 13,  2,  9603,   13,  3, 12216,   14,  2, 13789,   14,  3, 29928,   // 14, 3 
+ 13,  3,  9118,   13,  4, 11385,   14,  3, 13694,   14,  4, 31339,   // 14, 4 
+ 13,  4,  8685,   13,  5, 10665,   14,  4, 13600,   14,  5, 32586,   // 14, 5 
+ 13,  5,  8329,   13,  6, 10074,   14,  5, 13548,   14,  6, 33585,   // 14, 6 
+ 13,  6,  8068,   13,  7,  9626,   14,  6, 13582,   14,  7, 34260,   // 14, 7 
+ 14,  7, 13638,   14,  8, 34340,   15,  7,  8024,   15,  8,  9534,   // 14, 8 
+ 14,  8, 13647,   14,  9, 33642,   15,  8,  8286,   15,  9,  9961,   // 14, 9 
+ 14,  9, 13740,   14, 10, 32624,   15,  9,  8645,   15, 10, 10527,   // 14,10 
+ 14, 10, 13875,   14, 11, 31361,   15, 10,  9082,   15, 11, 11218,   // 14,11 
+ 14, 11, 14009,   14, 12, 29938,   15, 11,  9575,   15, 12, 12014,   // 14,12 
+ 14, 12, 14107,   14, 13, 28430,   15, 12, 10102,   15, 13, 12897,   // 14,13 
+ 14, 13, 14145,   14, 14, 26893,   15, 13, 10644,   15, 14, 13854,   // 14,14 
+ 14, 14, 14109,   14, 15, 25368,   15, 14, 11187,   15, 15, 14872,   // 14,15 
+ 14, -1, 11702,   14,  0, 15076,   15, -1, 14696,   15,  0, 24062,   // 15, 0 
+ 14,  0, 11187,   14,  1, 14109,   15,  0, 14872,   15,  1, 25368,   // 15, 1 
+ 14,  1, 10676,   14,  2, 13211,   15,  1, 14990,   15,  2, 26659,   // 15, 2 
+ 14,  2, 10185,   14,  3, 12388,   15,  2, 15060,   15,  3, 27903,   // 15, 3 
+ 14,  3,  9728,   14,  4, 11652,   15,  3, 15100,   15,  4, 29056,   // 15, 4 
+ 14,  4,  9323,   14,  5, 11013,   15,  4, 15135,   15,  5, 30065,   // 15, 5 
+ 14,  5,  8986,   14,  6, 10482,   15,  5, 15193,   15,  6, 30875,   // 15, 6 
+ 14,  6,  8727,   14,  7, 10065,   15,  6, 15301,   15,  7, 31443,   // 15, 7 
+ 15,  7, 15376,   15,  8, 31532,   16,  7,  8669,   16,  8,  9959,   // 15, 8 
+ 15,  8, 15319,   15,  9, 30939,   16,  8,  8927,   16,  9, 10351,   // 15, 9 
+ 15,  9, 15311,   15, 10, 30105,   16,  9,  9265,   16, 10, 10855,   // 15,10 
+ 15, 10, 15325,   15, 11, 29078,   16, 10,  9673,   16, 11, 11460,   // 15,11 
+ 15, 11, 15330,   15, 12, 27912,   16, 11, 10135,   16, 12, 12159,   // 15,12 
+ 15, 12, 15301,   15, 13, 26660,   16, 12, 10637,   16, 13, 12938,   // 15,13 
+ 15, 13, 15220,   15, 14, 25366,   16, 13, 11164,   16, 14, 13786,   // 15,14 
+ 15, 14, 15076,   15, 15, 24063,   16, 14, 11702,   16, 15, 14695,   // 15,15 
+ // angle of -2.0 degrees
+ -1,  0, 13368,   -1,  1, 10104,    0,  0, 28495,    0,  1, 13569,   //  0, 0 
+ -1,  1, 12574,   -1,  2,  9662,    0,  1, 29831,    0,  2, 13469,   //  0, 1 
+ -1,  2, 11829,   -1,  3,  9229,    0,  2, 31146,    0,  3, 13332,   //  0, 2 
+ -1,  3, 11143,   -1,  4,  8816,    0,  3, 32406,    0,  4, 13171,   //  0, 3 
+ -1,  4, 10528,   -1,  5,  8438,    0,  4, 33564,    0,  5, 13006,   //  0, 4 
+ -1,  5,  9995,   -1,  6,  8107,    0,  5, 34567,    0,  6, 12867,   //  0, 5 
+ -1,  6,  9558,   -1,  7,  7839,    0,  6, 35362,    0,  7, 12777,   //  0, 6 
+ -1,  7,  9224,   -1,  8,  7643,    0,  7, 35905,    0,  8, 12764,   //  0, 7 
+  0,  8, 35844,    0,  9, 12728,    1,  8,  9290,    1,  9,  7674,   //  0, 8 
+  0,  9, 35315,    0, 10, 12717,    1,  9,  9635,    1, 10,  7869,   //  0, 9 
+  0, 10, 34532,    0, 11, 12783,    1, 10, 10086,    1, 11,  8135,   //  0,10 
+  0, 11, 33539,    0, 12, 12899,    1, 11, 10635,    1, 12,  8463,   //  0,11 
+  0, 12, 32391,    0, 13, 13038,    1, 12, 11269,    1, 13,  8838,   //  0,12 
+  0, 13, 31138,    0, 14, 13176,    1, 13, 11977,    1, 14,  9245,   //  0,13 
+  0, 14, 29828,    0, 15, 13291,    1, 14, 12746,    1, 15,  9671,   //  0,14 
+  0, 15, 28495,    0, 16, 13368,    1, 15, 13569,    1, 16, 10104,   //  0,15 
+  0,  0, 13291,    0,  1,  9671,    1,  0, 29828,    1,  1, 12746,   //  1, 0 
+  0,  1, 12412,    0,  2,  9202,    1,  1, 31358,    1,  2, 12564,   //  1, 1 
+  0,  2, 11580,    0,  3,  8735,    1,  2, 32886,    1,  3, 12335,   //  1, 2 
+  0,  3, 10808,    0,  4,  8284,    1,  3, 34369,    1,  4, 12075,   //  1, 3 
+  0,  4, 10111,    0,  5,  7865,    1,  4, 35750,    1,  5, 11810,   //  1, 4 
+  0,  5,  9509,    0,  6,  7497,    1,  5, 36955,    1,  6, 11575,   //  1, 5 
+  0,  6,  9020,    0,  7,  7202,    1,  6, 37906,    1,  7, 11408,   //  1, 6 
+  0,  7,  8662,    0,  8,  6997,    1,  7, 38534,    1,  8, 11343,   //  1, 7 
+  1,  8, 38481,    1,  9, 11317,    2,  8,  8718,    2,  9,  7020,   //  1, 8 
+  1,  9, 37866,    1, 10, 11360,    2,  9,  9086,    2, 10,  7224,   //  1, 9 
+  1, 10, 36926,    1, 11, 11507,    2, 10,  9587,    2, 11,  7516,   //  1,10 
+  1, 11, 35730,    1, 12, 11721,    2, 11, 10204,    2, 12,  7881,   //  1,11 
+  1, 12, 34358,    1, 13, 11964,    2, 12, 10918,    2, 13,  8296,   //  1,12 
+  1, 13, 32881,    1, 14, 12203,    2, 13, 11709,    2, 14,  8743,   //  1,13 
+  1, 14, 31358,    1, 15, 12412,    2, 14, 12564,    2, 15,  9202,   //  1,14 
+  1, 15, 29831,    1, 16, 12574,    2, 15, 13470,    2, 16,  9661,   //  1,15 
+  1,  0, 13176,    1,  1,  9245,    2,  0, 31138,    2,  1, 11977,   //  2, 0 
+  1,  1, 12203,    1,  2,  8742,    2,  1, 32881,    2,  2, 11710,   //  2, 1 
+  1,  2, 11272,    1,  3,  8232,    2,  2, 34650,    2,  3, 11382,   //  2, 2 
+  1,  3, 10397,    1,  4,  7728,    2,  3, 36399,    2,  4, 11012,   //  2, 3 
+  1,  4,  9597,    1,  5,  7252,    2,  4, 38057,    2,  5, 10630,   //  2, 4 
+  1,  5,  8902,    1,  6,  6829,    2,  5, 39526,    2,  6, 10279,   //  2, 5 
+  1,  6,  8344,    1,  7,  6491,    2,  6, 40688,    2,  7, 10013,   //  2, 6 
+  1,  7,  7951,    1,  8,  6266,    2,  7, 41432,    2,  8,  9887,   //  2, 7 
+  2,  8, 41389,    2,  9,  9867,    3,  8,  7996,    3,  9,  6284,   //  2, 8 
+  2,  9, 40656,    2, 10,  9977,    3,  9,  8397,    3, 10,  6506,   //  2, 9 
+  2, 10, 39503,    2, 11, 10226,    3, 10,  8966,    3, 11,  6841,   //  2,10 
+  2, 11, 38042,    2, 12, 10559,    3, 11,  9674,    3, 12,  7261,   //  2,11 
+  2, 12, 36392,    2, 13, 10922,    3, 12, 10488,    3, 13,  7734,   //  2,12 
+  2, 13, 34650,    2, 14, 11272,    3, 13, 11382,    3, 14,  8232,   //  2,13 
+  2, 14, 32886,    2, 15, 11580,    3, 14, 12334,    3, 15,  8736,   //  2,14 
+  2, 15, 31146,    2, 16, 11829,    3, 15, 13332,    3, 16,  9229,   //  2,15 
+  2,  0, 13038,    2,  1,  8838,    3,  0, 32391,    3,  1, 11269,   //  3, 0 
+  2,  1, 11964,    2,  2,  8296,    3,  1, 34358,    3,  2, 10918,   //  3, 1 
+  2,  2, 10922,    2,  3,  7734,    3,  2, 36392,    3,  3, 10488,   //  3, 2 
+  2,  3,  9924,    2,  4,  7164,    3,  3, 38450,    3,  4,  9998,   //  3, 3 
+  2,  4,  8995,    2,  5,  6611,    3,  4, 40452,    3,  5,  9478,   //  3, 4 
+  2,  5,  8175,    2,  6,  6108,    3,  5, 42271,    3,  6,  8982,   //  3, 5 
+  2,  6,  7516,    2,  7,  5703,    3,  6, 43733,    3,  7,  8584,   //  3, 6 
+  2,  7,  7072,    2,  8,  5443,    3,  7, 44649,    3,  8,  8372,   //  3, 7 
+  3,  8, 44616,    3,  9,  8359,    4,  8,  7106,    4,  9,  5455,   //  3, 8 
+  3,  9, 43710,    3, 10,  8558,    4,  9,  7556,    4, 10,  5712,   //  3, 9 
+  3, 10, 42256,    3, 11,  8940,    4, 10,  8224,    4, 11,  6116,   //  3,10 
+  3, 11, 40444,    3, 12,  9421,    4, 11,  9056,    4, 12,  6615,   //  3,11 
+  3, 12, 38450,    3, 13,  9924,    4, 12,  9998,    4, 13,  7164,   //  3,12 
+  3, 13, 36399,    3, 14, 10397,    4, 13, 11012,    4, 14,  7728,   //  3,13 
+  3, 14, 34369,    3, 15, 10808,    4, 14, 12074,    4, 15,  8285,   //  3,14 
+  3, 15, 32406,    3, 16, 11143,    4, 15, 13171,    4, 16,  8816,   //  3,15 
+  3,  0, 12899,    3,  1,  8463,    4,  0, 33539,    4,  1, 10635,   //  4, 0 
+  3,  1, 11721,    3,  2,  7881,    4,  1, 35730,    4,  2, 10204,   //  4, 1 
+  3,  2, 10559,    3,  3,  7261,    4,  2, 38042,    4,  3,  9674,   //  4, 2 
+  3,  3,  9421,    3,  4,  6615,    4,  3, 40444,    4,  4,  9056,   //  4, 3 
+  3,  4,  8332,    3,  5,  5965,    4,  4, 42861,    4,  5,  8378,   //  4, 4 
+  3,  5,  7342,    3,  6,  5350,    4,  5, 45146,    4,  6,  7698,   //  4, 5 
+  3,  6,  6530,    3,  7,  4838,    4,  6, 47049,    4,  7,  7119,   //  4, 6 
+  3,  7,  6000,    3,  8,  4513,    4,  7, 48240,    4,  8,  6783,   //  4, 7 
+  4,  8, 48218,    4,  9,  6774,    5,  8,  6023,    5,  9,  4521,   //  4, 8 
+  4,  9, 47035,    4, 10,  7100,    5,  9,  6558,    5, 10,  4843,   //  4, 9 
+  4, 10, 45139,    4, 11,  7667,    5, 10,  7377,    5, 11,  5353,   //  4,10 
+  4, 11, 42861,    4, 12,  8332,    5, 11,  8378,    5, 12,  5965,   //  4,11 
+  4, 12, 40452,    4, 13,  8995,    5, 12,  9478,    5, 13,  6611,   //  4,12 
+  4, 13, 38057,    4, 14,  9597,    5, 13, 10630,    5, 14,  7252,   //  4,13 
+  4, 14, 35750,    4, 15, 10111,    5, 14, 11810,    5, 15,  7865,   //  4,14 
+  4, 15, 33564,    4, 16, 10528,    5, 15, 13007,    5, 16,  8437,   //  4,15 
+  4,  0, 12783,    4,  1,  8135,    5,  0, 34532,    5,  1, 10086,   //  5, 0 
+  4,  1, 11507,    4,  2,  7517,    5,  1, 36926,    5,  2,  9586,   //  5, 1 
+  4,  2, 10226,    4,  3,  6842,    5,  2, 39503,    5,  3,  8965,   //  5, 2 
+  4,  3,  8940,    4,  4,  6116,    5,  3, 42256,    5,  4,  8224,   //  5, 3 
+  4,  4,  7667,    4,  5,  5353,    5,  4, 45139,    5,  5,  7377,   //  5, 4 
+  4,  5,  6451,    4,  6,  4591,    5,  5, 48019,    5,  6,  6475,   //  5, 5 
+  4,  6,  5400,    4,  7,  3911,    5,  6, 50587,    5,  7,  5638,   //  5, 6 
+  4,  7,  4708,    4,  8,  3466,    5,  7, 52266,    5,  8,  5096,   //  5, 7 
+  5,  8, 52253,    5,  9,  5092,    6,  8,  4721,    6,  9,  3470,   //  5, 8 
+  5,  9, 50581,    5, 10,  5624,    6,  9,  5418,    6, 10,  3913,   //  5, 9 
+  5, 10, 48019,    5, 11,  6451,    6, 10,  6475,    6, 11,  4591,   //  5,10 
+  5, 11, 45146,    5, 12,  7342,    6, 11,  7698,    6, 12,  5350,   //  5,11 
+  5, 12, 42271,    5, 13,  8175,    6, 12,  8982,    6, 13,  6108,   //  5,12 
+  5, 13, 39526,    5, 14,  8902,    6, 13, 10279,    6, 14,  6829,   //  5,13 
+  5, 14, 36955,    5, 15,  9509,    6, 14, 11575,    6, 15,  7497,   //  5,14 
+  5, 15, 34567,    5, 16,  9995,    6, 15, 12867,    6, 16,  8107,   //  5,15 
+  5,  0, 12717,    5,  1,  7868,    6,  0, 35315,    6,  1,  9636,   //  6, 0 
+  5,  1, 11360,    5,  2,  7224,    6,  1, 37866,    6,  2,  9086,   //  6, 1 
+  5,  2,  9977,    5,  3,  6506,    6,  2, 40656,    6,  3,  8397,   //  6, 2 
+  5,  3,  8558,    5,  4,  5712,    6,  3, 43710,    6,  4,  7556,   //  6, 3 
+  5,  4,  7100,    5,  5,  4843,    6,  4, 47035,    6,  5,  6558,   //  6, 4 
+  5,  5,  5624,    5,  6,  3913,    6,  5, 50581,    6,  6,  5418,   //  6, 5 
+  5,  6,  4217,    5,  7,  2989,    6,  6, 54105,    6,  7,  4225,   //  6, 6 
+  5,  7,  3180,    5,  8,  2294,    6,  7, 56756,    6,  8,  3306,   //  6, 7 
+  6,  8, 56751,    6,  9,  3303,    7,  8,  3186,    7,  9,  2296,   //  6, 8 
+  6,  9, 54105,    6, 10,  4217,    7,  9,  4225,    7, 10,  2989,   //  6, 9 
+  6, 10, 50587,    6, 11,  5400,    7, 10,  5637,    7, 11,  3912,   //  6,10 
+  6, 11, 47049,    6, 12,  6530,    7, 11,  7119,    7, 12,  4838,   //  6,11 
+  6, 12, 43733,    6, 13,  7516,    7, 12,  8584,    7, 13,  5703,   //  6,12 
+  6, 13, 40688,    6, 14,  8344,    7, 13, 10013,    7, 14,  6491,   //  6,13 
+  6, 14, 37906,    6, 15,  9020,    7, 14, 11407,    7, 15,  7203,   //  6,14 
+  6, 15, 35362,    6, 16,  9558,    7, 15, 12777,    7, 16,  7839,   //  6,15 
+  6,  0, 12728,    6,  1,  7674,    7,  0, 35844,    7,  1,  9290,   //  7, 0 
+  6,  1, 11317,    6,  2,  7020,    7,  1, 38481,    7,  2,  8718,   //  7, 1 
+  6,  2,  9867,    6,  3,  6284,    7,  2, 41389,    7,  3,  7996,   //  7, 2 
+  6,  3,  8359,    6,  4,  5454,    7,  3, 44616,    7,  4,  7107,   //  7, 3 
+  6,  4,  6774,    6,  5,  4521,    7,  4, 48218,    7,  5,  6023,   //  7, 4 
+  6,  5,  5092,    6,  6,  3470,    7,  5, 52253,    7,  6,  4721,   //  7, 5 
+  6,  6,  3303,    6,  7,  2295,    7,  6, 56751,    7,  7,  3187,   //  7, 6 
+  6,  7,  1541,    6,  8,  1090,    7,  7, 61364,    7,  8,  1541,   //  7, 7 
+  7,  8, 61364,    7,  9,  1541,    8,  8,  1542,    8,  9,  1089,   //  7, 8 
+  7,  9, 56756,    7, 10,  3180,    8,  9,  3306,    8, 10,  2294,   //  7, 9 
+  7, 10, 52266,    7, 11,  4708,    8, 10,  5097,    8, 11,  3465,   //  7,10 
+  7, 11, 48240,    7, 12,  6000,    8, 11,  6783,    8, 12,  4513,   //  7,11 
+  7, 12, 44649,    7, 13,  7072,    8, 12,  8373,    8, 13,  5442,   //  7,12 
+  7, 13, 41432,    7, 14,  7951,    8, 13,  9886,    8, 14,  6267,   //  7,13 
+  7, 14, 38534,    7, 15,  8662,    8, 14, 11344,    8, 15,  6996,   //  7,14 
+  7, 15, 35905,    7, 16,  9224,    8, 15, 12764,    8, 16,  7643,   //  7,15 
+  7, -1,  7643,    7,  0, 12764,    8, -1,  9224,    8,  0, 35905,   //  8, 0 
+  7,  0,  6997,    7,  1, 11344,    8,  0,  8662,    8,  1, 38533,   //  8, 1 
+  7,  1,  6266,    7,  2,  9886,    8,  1,  7951,    8,  2, 41433,   //  8, 2 
+  7,  2,  5443,    7,  3,  8373,    8,  2,  7072,    8,  3, 44648,   //  8, 3 
+  7,  3,  4513,    7,  4,  6783,    8,  3,  6000,    8,  4, 48240,   //  8, 4 
+  7,  4,  3466,    7,  5,  5097,    8,  4,  4708,    8,  5, 52265,   //  8, 5 
+  7,  5,  2294,    7,  6,  3306,    8,  5,  3180,    8,  6, 56756,   //  8, 6 
+  7,  6,  1090,    7,  7,  1542,    8,  6,  1541,    8,  7, 61363,   //  8, 7 
+  8,  7,  1542,    8,  8, 61364,    9,  7,  1090,    9,  8,  1540,   //  8, 8 
+  8,  8,  3186,    8,  9, 56751,    9,  8,  2295,    9,  9,  3304,   //  8, 9 
+  8,  9,  4721,    8, 10, 52253,    9,  9,  3470,    9, 10,  5092,   //  8,10 
+  8, 10,  6023,    8, 11, 48218,    9, 10,  4521,    9, 11,  6774,   //  8,11 
+  8, 11,  7106,    8, 12, 44616,    9, 11,  5454,    9, 12,  8360,   //  8,12 
+  8, 12,  7996,    8, 13, 41389,    9, 12,  6284,    9, 13,  9867,   //  8,13 
+  8, 13,  8718,    8, 14, 38481,    9, 13,  7020,    9, 14, 11317,   //  8,14 
+  8, 14,  9290,    8, 15, 35844,    9, 14,  7674,    9, 15, 12728,   //  8,15 
+  8, -1,  7839,    8,  0, 12777,    9, -1,  9558,    9,  0, 35362,   //  9, 0 
+  8,  0,  7202,    8,  1, 11407,    9,  0,  9020,    9,  1, 37907,   //  9, 1 
+  8,  1,  6491,    8,  2, 10013,    9,  1,  8344,    9,  2, 40688,   //  9, 2 
+  8,  2,  5703,    8,  3,  8584,    9,  2,  7516,    9,  3, 43733,   //  9, 3 
+  8,  3,  4838,    8,  4,  7119,    9,  3,  6530,    9,  4, 47049,   //  9, 4 
+  8,  4,  3911,    8,  5,  5637,    9,  4,  5400,    9,  5, 50588,   //  9, 5 
+  8,  5,  2989,    8,  6,  4225,    9,  5,  4217,    9,  6, 54105,   //  9, 6 
+  8,  6,  2295,    8,  7,  3186,    9,  6,  3303,    9,  7, 56752,   //  9, 7 
+  9,  7,  3306,    9,  8, 56756,   10,  7,  2294,   10,  8,  3180,   //  9, 8 
+  9,  8,  4225,    9,  9, 54105,   10,  8,  2989,   10,  9,  4217,   //  9, 9 
+  9,  9,  5418,    9, 10, 50581,   10,  9,  3913,   10, 10,  5624,   //  9,10 
+  9, 10,  6558,    9, 11, 47035,   10, 10,  4843,   10, 11,  7100,   //  9,11 
+  9, 11,  7556,    9, 12, 43710,   10, 11,  5712,   10, 12,  8558,   //  9,12 
+  9, 12,  8397,    9, 13, 40656,   10, 12,  6506,   10, 13,  9977,   //  9,13 
+  9, 13,  9086,    9, 14, 37866,   10, 13,  7224,   10, 14, 11360,   //  9,14 
+  9, 14,  9635,    9, 15, 35315,   10, 14,  7868,   10, 15, 12718,   //  9,15 
+  9, -1,  8107,    9,  0, 12867,   10, -1,  9995,   10,  0, 34567,   // 10, 0 
+  9,  0,  7497,    9,  1, 11575,   10,  0,  9509,   10,  1, 36955,   // 10, 1 
+  9,  1,  6829,    9,  2, 10279,   10,  1,  8902,   10,  2, 39526,   // 10, 2 
+  9,  2,  6108,    9,  3,  8982,   10,  2,  8175,   10,  3, 42271,   // 10, 3 
+  9,  3,  5350,    9,  4,  7698,   10,  3,  7342,   10,  4, 45146,   // 10, 4 
+  9,  4,  4591,    9,  5,  6475,   10,  4,  6451,   10,  5, 48019,   // 10, 5 
+  9,  5,  3913,    9,  6,  5418,   10,  5,  5624,   10,  6, 50581,   // 10, 6 
+  9,  6,  3470,    9,  7,  4721,   10,  6,  5092,   10,  7, 52253,   // 10, 7 
+ 10,  7,  5097,   10,  8, 52266,   11,  7,  3466,   11,  8,  4707,   // 10, 8 
+ 10,  8,  5637,   10,  9, 50587,   11,  8,  3911,   11,  9,  5401,   // 10, 9 
+ 10,  9,  6475,   10, 10, 48019,   11,  9,  4591,   11, 10,  6451,   // 10,10 
+ 10, 10,  7377,   10, 11, 45139,   11, 10,  5353,   11, 11,  7667,   // 10,11 
+ 10, 11,  8224,   10, 12, 42256,   11, 11,  6116,   11, 12,  8940,   // 10,12 
+ 10, 12,  8966,   10, 13, 39503,   11, 12,  6842,   11, 13, 10225,   // 10,13 
+ 10, 13,  9587,   10, 14, 36926,   11, 13,  7517,   11, 14, 11506,   // 10,14 
+ 10, 14, 10086,   10, 15, 34532,   11, 14,  8135,   11, 15, 12783,   // 10,15 
+ 10, -1,  8438,   10,  0, 13007,   11, -1, 10528,   11,  0, 33563,   // 11, 0 
+ 10,  0,  7865,   10,  1, 11810,   11,  0, 10111,   11,  1, 35750,   // 11, 1 
+ 10,  1,  7252,   10,  2, 10630,   11,  1,  9597,   11,  2, 38057,   // 11, 2 
+ 10,  2,  6611,   10,  3,  9478,   11,  2,  8995,   11,  3, 40452,   // 11, 3 
+ 10,  3,  5965,   10,  4,  8378,   11,  3,  8332,   11,  4, 42861,   // 11, 4 
+ 10,  4,  5353,   10,  5,  7377,   11,  4,  7667,   11,  5, 45139,   // 11, 5 
+ 10,  5,  4843,   10,  6,  6558,   11,  5,  7100,   11,  6, 47035,   // 11, 6 
+ 10,  6,  4521,   10,  7,  6023,   11,  6,  6774,   11,  7, 48218,   // 11, 7 
+ 11,  7,  6783,   11,  8, 48240,   12,  7,  4513,   12,  8,  6000,   // 11, 8 
+ 11,  8,  7119,   11,  9, 47049,   12,  8,  4838,   12,  9,  6530,   // 11, 9 
+ 11,  9,  7698,   11, 10, 45146,   12,  9,  5350,   12, 10,  7342,   // 11,10 
+ 11, 10,  8378,   11, 11, 42861,   12, 10,  5965,   12, 11,  8332,   // 11,11 
+ 11, 11,  9056,   11, 12, 40444,   12, 11,  6615,   12, 12,  9421,   // 11,12 
+ 11, 12,  9674,   11, 13, 38042,   12, 12,  7261,   12, 13, 10559,   // 11,13 
+ 11, 13, 10204,   11, 14, 35730,   12, 13,  7881,   12, 14, 11721,   // 11,14 
+ 11, 14, 10635,   11, 15, 33539,   12, 14,  8463,   12, 15, 12899,   // 11,15 
+ 11, -1,  8816,   11,  0, 13171,   12, -1, 11143,   12,  0, 32406,   // 12, 0 
+ 11,  0,  8284,   11,  1, 12074,   12,  0, 10808,   12,  1, 34370,   // 12, 1 
+ 11,  1,  7728,   11,  2, 11012,   12,  1, 10397,   12,  2, 36399,   // 12, 2 
+ 11,  2,  7164,   11,  3,  9998,   12,  2,  9924,   12,  3, 38450,   // 12, 3 
+ 11,  3,  6615,   11,  4,  9056,   12,  3,  9421,   12,  4, 40444,   // 12, 4 
+ 11,  4,  6116,   11,  5,  8224,   12,  4,  8940,   12,  5, 42256,   // 12, 5 
+ 11,  5,  5712,   11,  6,  7556,   12,  5,  8558,   12,  6, 43710,   // 12, 6 
+ 11,  6,  5454,   11,  7,  7106,   12,  6,  8359,   12,  7, 44617,   // 12, 7 
+ 12,  7,  8373,   12,  8, 44649,   13,  7,  5443,   13,  8,  7071,   // 12, 8 
+ 12,  8,  8584,   12,  9, 43733,   13,  8,  5703,   13,  9,  7516,   // 12, 9 
+ 12,  9,  8982,   12, 10, 42271,   13,  9,  6108,   13, 10,  8175,   // 12,10 
+ 12, 10,  9478,   12, 11, 40452,   13, 10,  6611,   13, 11,  8995,   // 12,11 
+ 12, 11,  9998,   12, 12, 38450,   13, 11,  7164,   13, 12,  9924,   // 12,12 
+ 12, 12, 10488,   12, 13, 36392,   13, 12,  7734,   13, 13, 10922,   // 12,13 
+ 12, 13, 10918,   12, 14, 34358,   13, 13,  8296,   13, 14, 11964,   // 12,14 
+ 12, 14, 11269,   12, 15, 32391,   13, 14,  8838,   13, 15, 13038,   // 12,15 
+ 12, -1,  9229,   12,  0, 13332,   13, -1, 11829,   13,  0, 31146,   // 13, 0 
+ 12,  0,  8735,   12,  1, 12334,   13,  0, 11580,   13,  1, 32887,   // 13, 1 
+ 12,  1,  8232,   12,  2, 11382,   13,  1, 11272,   13,  2, 34650,   // 13, 2 
+ 12,  2,  7734,   12,  3, 10488,   13,  2, 10922,   13,  3, 36392,   // 13, 3 
+ 12,  3,  7261,   12,  4,  9674,   13,  3, 10559,   13,  4, 38042,   // 13, 4 
+ 12,  4,  6842,   12,  5,  8966,   13,  4, 10226,   13,  5, 39502,   // 13, 5 
+ 12,  5,  6506,   12,  6,  8397,   13,  5,  9977,   13,  6, 40656,   // 13, 6 
+ 12,  6,  6284,   12,  7,  7996,   13,  6,  9867,   13,  7, 41389,   // 13, 7 
+ 13,  7,  9886,   13,  8, 41432,   14,  7,  6266,   14,  8,  7952,   // 13, 8 
+ 13,  8, 10013,   13,  9, 40688,   14,  8,  6491,   14,  9,  8344,   // 13, 9 
+ 13,  9, 10279,   13, 10, 39526,   14,  9,  6829,   14, 10,  8902,   // 13,10 
+ 13, 10, 10630,   13, 11, 38057,   14, 10,  7252,   14, 11,  9597,   // 13,11 
+ 13, 11, 11012,   13, 12, 36399,   14, 11,  7728,   14, 12, 10397,   // 13,12 
+ 13, 12, 11382,   13, 13, 34650,   14, 12,  8232,   14, 13, 11272,   // 13,13 
+ 13, 13, 11709,   13, 14, 32881,   14, 13,  8742,   14, 14, 12204,   // 13,14 
+ 13, 14, 11977,   13, 15, 31138,   14, 14,  9245,   14, 15, 13176,   // 13,15 
+ 13, -1,  9662,   13,  0, 13470,   14, -1, 12574,   14,  0, 29830,   // 14, 0 
+ 13,  0,  9202,   13,  1, 12564,   14,  0, 12412,   14,  1, 31358,   // 14, 1 
+ 13,  1,  8742,   13,  2, 11709,   14,  1, 12203,   14,  2, 32882,   // 14, 2 
+ 13,  2,  8296,   13,  3, 10918,   14,  2, 11964,   14,  3, 34358,   // 14, 3 
+ 13,  3,  7881,   13,  4, 10204,   14,  3, 11721,   14,  4, 35730,   // 14, 4 
+ 13,  4,  7517,   13,  5,  9587,   14,  4, 11507,   14,  5, 36925,   // 14, 5 
+ 13,  5,  7224,   13,  6,  9086,   14,  5, 11360,   14,  6, 37866,   // 14, 6 
+ 13,  6,  7020,   13,  7,  8718,   14,  6, 11317,   14,  7, 38481,   // 14, 7 
+ 14,  7, 11344,   14,  8, 38534,   15,  7,  6997,   15,  8,  8661,   // 14, 8 
+ 14,  8, 11407,   14,  9, 37906,   15,  8,  7202,   15,  9,  9021,   // 14, 9 
+ 14,  9, 11575,   14, 10, 36955,   15,  9,  7497,   15, 10,  9509,   // 14,10 
+ 14, 10, 11810,   14, 11, 35750,   15, 10,  7865,   15, 11, 10111,   // 14,11 
+ 14, 11, 12074,   14, 12, 34369,   15, 11,  8284,   15, 12, 10809,   // 14,12 
+ 14, 12, 12334,   14, 13, 32886,   15, 12,  8735,   15, 13, 11581,   // 14,13 
+ 14, 13, 12564,   14, 14, 31358,   15, 13,  9202,   15, 14, 12412,   // 14,14 
+ 14, 14, 12746,   14, 15, 29828,   15, 14,  9671,   15, 15, 13291,   // 14,15 
+ 14, -1, 10104,   14,  0, 13569,   15, -1, 13368,   15,  0, 28495,   // 15, 0 
+ 14,  0,  9671,   14,  1, 12746,   15,  0, 13291,   15,  1, 29828,   // 15, 1 
+ 14,  1,  9245,   14,  2, 11977,   15,  1, 13176,   15,  2, 31138,   // 15, 2 
+ 14,  2,  8838,   14,  3, 11269,   15,  2, 13038,   15,  3, 32391,   // 15, 3 
+ 14,  3,  8463,   14,  4, 10635,   15,  3, 12899,   15,  4, 33539,   // 15, 4 
+ 14,  4,  8135,   14,  5, 10086,   15,  4, 12783,   15,  5, 34532,   // 15, 5 
+ 14,  5,  7868,   14,  6,  9635,   15,  5, 12717,   15,  6, 35316,   // 15, 6 
+ 14,  6,  7674,   14,  7,  9290,   15,  6, 12728,   15,  7, 35844,   // 15, 7 
+ 15,  7, 12764,   15,  8, 35905,   16,  7,  7643,   16,  8,  9224,   // 15, 8 
+ 15,  8, 12777,   15,  9, 35362,   16,  8,  7839,   16,  9,  9558,   // 15, 9 
+ 15,  9, 12867,   15, 10, 34567,   16,  9,  8107,   16, 10,  9995,   // 15,10 
+ 15, 10, 13007,   15, 11, 33564,   16, 10,  8438,   16, 11, 10527,   // 15,11 
+ 15, 11, 13171,   15, 12, 32406,   16, 11,  8816,   16, 12, 11143,   // 15,12 
+ 15, 12, 13332,   15, 13, 31146,   16, 12,  9229,   16, 13, 11829,   // 15,13 
+ 15, 13, 13470,   15, 14, 29831,   16, 13,  9662,   16, 14, 12573,   // 15,14 
+ 15, 14, 13569,   15, 15, 28495,   16, 14, 10104,   16, 15, 13368,   // 15,15 
+ // angle of -1.5 degrees
+ -1,  0, 11440,   -1,  1,  8358,    0,  0, 34212,    0,  1, 11526,   //  0, 0 
+ -1,  1, 10780,   -1,  2,  7983,    0,  1, 35506,    0,  2, 11267,   //  0, 1 
+ -1,  2, 10158,   -1,  3,  7620,    0,  2, 36764,    0,  3, 10994,   //  0, 2 
+ -1,  3,  9585,   -1,  4,  7276,    0,  3, 37951,    0,  4, 10724,   //  0, 3 
+ -1,  4,  9072,   -1,  5,  6965,    0,  4, 39026,    0,  5, 10473,   //  0, 4 
+ -1,  5,  8632,   -1,  6,  6699,    0,  5, 39940,    0,  6, 10265,   //  0, 5 
+ -1,  6,  8278,   -1,  7,  6489,    0,  6, 40646,    0,  7, 10123,   //  0, 6 
+ -1,  7,  8018,   -1,  8,  6346,    0,  7, 41106,    0,  8, 10066,   //  0, 7 
+  0,  8, 41072,    0,  9, 10052,    1,  8,  8052,    1,  9,  6360,   //  0, 8 
+  0,  9, 40618,    0, 10, 10100,    1,  9,  8316,    1, 10,  6502,   //  0, 9 
+  0, 10, 39918,    0, 11, 10232,    1, 10,  8676,    1, 11,  6710,   //  0,10 
+  0, 11, 39009,    0, 12, 10430,    1, 11,  9122,    1, 12,  6975,   //  0,11 
+  0, 12, 37939,    0, 13, 10670,    1, 12,  9642,    1, 13,  7285,   //  0,12 
+  0, 13, 36756,    0, 14, 10930,    1, 13, 10224,    1, 14,  7626,   //  0,13 
+  0, 14, 35502,    0, 15, 11192,    1, 14, 10855,    1, 15,  7987,   //  0,14 
+  0, 15, 34212,    0, 16, 11440,    1, 15, 11526,    1, 16,  8358,   //  0,15 
+  0,  0, 11192,    0,  1,  7987,    1,  0, 35502,    1,  1, 10855,   //  1, 0 
+  0,  1, 10467,    0,  2,  7579,    1,  1, 36959,    1,  2, 10531,   //  1, 1 
+  0,  2,  9777,    0,  3,  7177,    1,  2, 38394,    1,  3, 10188,   //  1, 2 
+  0,  3,  9135,    0,  4,  6792,    1,  3, 39767,    1,  4,  9842,   //  1, 3 
+  0,  4,  8557,    0,  5,  6440,    1,  4, 41026,    1,  5,  9513,   //  1, 4 
+  0,  5,  8061,    0,  6,  6137,    1,  5, 42105,    1,  6,  9233,   //  1, 5 
+  0,  6,  7667,    0,  7,  5900,    1,  6, 42936,    1,  7,  9033,   //  1, 6 
+  0,  7,  7390,    0,  8,  5745,    1,  7, 43461,    1,  8,  8940,   //  1, 7 
+  1,  8, 43433,    1,  9,  8929,    2,  8,  7418,    2,  9,  5756,   //  1, 8 
+  1,  9, 42913,    1, 10,  9014,    2,  9,  7699,    2, 10,  5910,   //  1, 9 
+  1, 10, 42087,    1, 11,  9206,    2, 10,  8098,    2, 11,  6145,   //  1,10 
+  1, 11, 41013,    1, 12,  9478,    2, 11,  8599,    2, 12,  6446,   //  1,11 
+  1, 12, 39759,    1, 13,  9796,    2, 12,  9184,    2, 13,  6797,   //  1,12 
+  1, 13, 38390,    1, 14, 10133,    2, 13,  9834,    2, 14,  7179,   //  1,13 
+  1, 14, 36959,    1, 15, 10467,    2, 14, 10532,    2, 15,  7578,   //  1,14 
+  1, 15, 35506,    1, 16, 10780,    2, 15, 11267,    2, 16,  7983,   //  1,15 
+  1,  0, 10930,    1,  1,  7626,    2,  0, 36756,    2,  1, 10224,   //  2, 0 
+  1,  1, 10133,    1,  2,  7179,    2,  1, 38390,    2,  2,  9834,   //  2, 1 
+  1,  2,  9366,    1,  3,  6732,    2,  2, 40025,    2,  3,  9413,   //  2, 2 
+  1,  3,  8641,    1,  4,  6297,    2,  3, 41618,    2,  4,  8980,   //  2, 3 
+  1,  4,  7981,    1,  5,  5891,    2,  4, 43105,    2,  5,  8559,   //  2, 4 
+  1,  5,  7411,    1,  6,  5537,    2,  5, 44399,    2,  6,  8189,   //  2, 5 
+  1,  6,  6961,    1,  7,  5261,    2,  6, 45401,    2,  7,  7913,   //  2, 6 
+  1,  7,  6658,    1,  8,  5087,    2,  7, 46017,    2,  8,  7774,   //  2, 7 
+  2,  8, 45995,    2,  9,  7766,    3,  8,  6680,    3,  9,  5095,   //  2, 8 
+  2,  9, 45383,    2, 10,  7899,    3,  9,  6986,    3, 10,  5268,   //  2, 9 
+  2, 10, 44386,    2, 11,  8167,    3, 10,  7440,    3, 11,  5543,   //  2,10 
+  2, 11, 43096,    2, 12,  8530,    3, 11,  8015,    3, 12,  5895,   //  2,11 
+  2, 12, 41614,    2, 13,  8941,    3, 12,  8681,    3, 13,  6300,   //  2,12 
+  2, 13, 40025,    2, 14,  9366,    3, 13,  9413,    3, 14,  6732,   //  2,13 
+  2, 14, 38394,    2, 15,  9777,    3, 14, 10188,    3, 15,  7177,   //  2,14 
+  2, 15, 36764,    2, 16, 10158,    3, 15, 10994,    3, 16,  7620,   //  2,15 
+  2,  0, 10670,    2,  1,  7285,    3,  0, 37939,    3,  1,  9642,   //  3, 0 
+  2,  1,  9796,    2,  2,  6797,    3,  1, 39759,    3,  2,  9184,   //  3, 1 
+  2,  2,  8941,    2,  3,  6299,    3,  2, 41614,    3,  3,  8682,   //  3, 2 
+  2,  3,  8120,    2,  4,  5804,    3,  3, 43461,    3,  4,  8151,   //  3, 3 
+  2,  4,  7356,    2,  5,  5330,    3,  4, 45229,    3,  5,  7621,   //  3, 4 
+  2,  5,  6685,    2,  6,  4906,    3,  5, 46806,    3,  6,  7139,   //  3, 5 
+  2,  6,  6154,    2,  7,  4572,    3,  6, 48049,    3,  7,  6761,   //  3, 6 
+  2,  7,  5811,    2,  8,  4366,    3,  7, 48801,    3,  8,  6558,   //  3, 7 
+  3,  8, 48785,    3,  9,  6552,    4,  8,  5827,    4,  9,  4372,   //  3, 8 
+  3,  9, 48037,    3, 10,  6750,    4,  9,  6173,    4, 10,  4576,   //  3, 9 
+  3, 10, 46798,    3, 11,  7121,    4, 10,  6707,    4, 11,  4910,   //  3,10 
+  3, 11, 45224,    3, 12,  7598,    4, 11,  7382,    4, 12,  5332,   //  3,11 
+  3, 12, 43461,    3, 13,  8120,    4, 12,  8151,    4, 13,  5804,   //  3,12 
+  3, 13, 41618,    3, 14,  8641,    4, 13,  8979,    4, 14,  6298,   //  3,13 
+  3, 14, 39767,    3, 15,  9135,    4, 14,  9841,    4, 15,  6793,   //  3,14 
+  3, 15, 37951,    3, 16,  9585,    4, 15, 10723,    4, 16,  7277,   //  3,15 
+  3,  0, 10430,    3,  1,  6975,    4,  0, 39009,    4,  1,  9122,   //  4, 0 
+  3,  1,  9478,    3,  2,  6447,    4,  1, 41013,    4,  2,  8598,   //  4, 1 
+  3,  2,  8530,    3,  3,  5895,    4,  2, 43096,    4,  3,  8015,   //  4, 2 
+  3,  3,  7598,    3,  4,  5331,    4,  3, 45224,    4,  4,  7383,   //  4, 3 
+  3,  4,  6708,    3,  5,  4774,    4,  4, 47328,    4,  5,  6726,   //  4, 4 
+  3,  5,  5901,    3,  6,  4257,    4,  5, 49279,    4,  6,  6099,   //  4, 5 
+  3,  6,  5248,    3,  7,  3834,    4,  6, 50873,    4,  7,  5581,   //  4, 6 
+  3,  7,  4835,    3,  8,  3575,    4,  7, 51842,    4,  8,  5284,   //  4, 7 
+  4,  8, 51832,    4,  9,  5280,    5,  8,  4846,    5,  9,  3578,   //  4, 8 
+  4,  9, 50865,    4, 10,  5573,    5,  9,  5261,    5, 10,  3837,   //  4, 9 
+  4, 10, 49275,    4, 11,  6086,    5, 10,  5917,    5, 11,  4258,   //  4,10 
+  4, 11, 47328,    4, 12,  6708,    5, 11,  6727,    5, 12,  4773,   //  4,11 
+  4, 12, 45229,    4, 13,  7356,    5, 12,  7622,    5, 13,  5329,   //  4,12 
+  4, 13, 43105,    4, 14,  7981,    5, 13,  8559,    5, 14,  5891,   //  4,13 
+  4, 14, 41026,    4, 15,  8557,    5, 14,  9513,    5, 15,  6440,   //  4,14 
+  4, 15, 39026,    4, 16,  9072,    5, 15, 10473,    5, 16,  6965,   //  4,15 
+  4,  0, 10232,    4,  1,  6710,    5,  0, 39918,    5,  1,  8676,   //  5, 0 
+  4,  1,  9206,    4,  2,  6145,    5,  1, 42087,    5,  2,  8098,   //  5, 1 
+  4,  2,  8167,    4,  3,  5543,    5,  2, 44386,    5,  3,  7440,   //  5, 2 
+  4,  3,  7121,    4,  4,  4909,    5,  3, 46798,    5,  4,  6708,   //  5, 3 
+  4,  4,  6086,    4,  5,  4258,    5,  4, 49275,    5,  5,  5917,   //  5, 4 
+  4,  5,  5103,    4,  6,  3621,    5,  5, 51700,    5,  6,  5112,   //  5, 5 
+  4,  6,  4262,    4,  7,  3064,    5,  6, 53816,    5,  7,  4394,   //  5, 6 
+  4,  7,  3720,    4,  8,  2708,    5,  7, 55168,    5,  8,  3940,   //  5, 7 
+  5,  8, 55162,    5,  9,  3938,    6,  8,  3726,    6,  9,  2710,   //  5, 8 
+  5,  9, 53813,    5, 10,  4388,    6,  9,  4269,    6, 10,  3066,   //  5, 9 
+  5, 10, 51700,    5, 11,  5103,    6, 10,  5113,    6, 11,  3620,   //  5,10 
+  5, 11, 49279,    5, 12,  5901,    6, 11,  6099,    6, 12,  4257,   //  5,11 
+  5, 12, 46806,    5, 13,  6685,    6, 12,  7138,    6, 13,  4907,   //  5,12 
+  5, 13, 44399,    5, 14,  7411,    6, 13,  8189,    6, 14,  5537,   //  5,13 
+  5, 14, 42105,    5, 15,  8061,    6, 14,  9233,    6, 15,  6137,   //  5,14 
+  5, 15, 39940,    5, 16,  8632,    6, 15, 10265,    6, 16,  6699,   //  5,15 
+  5,  0, 10100,    5,  1,  6502,    6,  0, 40618,    6,  1,  8316,   //  6, 0 
+  5,  1,  9014,    5,  2,  5910,    6,  1, 42913,    6,  2,  7699,   //  6, 1 
+  5,  2,  7899,    5,  3,  5268,    6,  2, 45383,    6,  3,  6986,   //  6, 2 
+  5,  3,  6750,    5,  4,  4576,    6,  3, 48037,    6,  4,  6173,   //  6, 3 
+  5,  4,  5573,    5,  5,  3837,    6,  4, 50865,    6,  5,  5261,   //  6, 4 
+  5,  5,  4388,    5,  6,  3065,    6,  5, 53813,    6,  6,  4270,   //  6, 5 
+  5,  6,  3271,    5,  7,  2316,    6,  6, 56673,    6,  7,  3276,   //  6, 6 
+  5,  7,  2462,    5,  8,  1766,    6,  7, 58775,    6,  8,  2533,   //  6, 7 
+  6,  8, 58773,    6,  9,  2532,    7,  8,  2464,    7,  9,  1767,   //  6, 8 
+  6,  9, 56673,    6, 10,  3271,    7,  9,  3275,    7, 10,  2317,   //  6, 9 
+  6, 10, 53816,    6, 11,  4262,    7, 10,  4394,    7, 11,  3064,   //  6,10 
+  6, 11, 50873,    6, 12,  5248,    7, 11,  5581,    7, 12,  3834,   //  6,11 
+  6, 12, 48049,    6, 13,  6154,    7, 12,  6761,    7, 13,  4572,   //  6,12 
+  6, 13, 45401,    6, 14,  6961,    7, 13,  7913,    7, 14,  5261,   //  6,13 
+  6, 14, 42936,    6, 15,  7667,    7, 14,  9032,    7, 15,  5901,   //  6,14 
+  6, 15, 40646,    6, 16,  8278,    7, 15, 10123,    7, 16,  6489,   //  6,15 
+  6,  0, 10052,    6,  1,  6360,    7,  0, 41072,    7,  1,  8052,   //  7, 0 
+  6,  1,  8929,    6,  2,  5756,    7,  1, 43433,    7,  2,  7418,   //  7, 1 
+  6,  2,  7766,    6,  3,  5095,    7,  2, 45995,    7,  3,  6680,   //  7, 2 
+  6,  3,  6552,    6,  4,  4372,    7,  3, 48785,    7,  4,  5827,   //  7, 3 
+  6,  4,  5280,    6,  5,  3579,    7,  4, 51832,    7,  5,  4845,   //  7, 4 
+  6,  5,  3938,    6,  6,  2710,    7,  5, 55162,    7,  6,  3726,   //  7, 5 
+  6,  6,  2532,    6,  7,  1767,    7,  6, 58773,    7,  7,  2464,   //  7, 6 
+  6,  7,  1170,    6,  8,   827,    7,  7, 62369,    7,  8,  1170,   //  7, 7 
+  7,  8, 62369,    7,  9,  1170,    8,  8,  1170,    8,  9,   827,   //  7, 8 
+  7,  9, 58775,    7, 10,  2462,    8,  9,  2533,    8, 10,  1766,   //  7, 9 
+  7, 10, 55168,    7, 11,  3720,    8, 10,  3940,    8, 11,  2708,   //  7,10 
+  7, 11, 51842,    7, 12,  4835,    8, 11,  5283,    8, 12,  3576,   //  7,11 
+  7, 12, 48801,    7, 13,  5811,    8, 12,  6558,    8, 13,  4366,   //  7,12 
+  7, 13, 46017,    7, 14,  6658,    8, 13,  7773,    8, 14,  5088,   //  7,13 
+  7, 14, 43461,    7, 15,  7390,    8, 14,  8939,    8, 15,  5746,   //  7,14 
+  7, 15, 41106,    7, 16,  8018,    8, 15, 10066,    8, 16,  6346,   //  7,15 
+  7, -1,  6346,    7,  0, 10066,    8, -1,  8018,    8,  0, 41106,   //  8, 0 
+  7,  0,  5745,    7,  1,  8939,    8,  0,  7390,    8,  1, 43462,   //  8, 1 
+  7,  1,  5087,    7,  2,  7773,    8,  1,  6658,    8,  2, 46018,   //  8, 2 
+  7,  2,  4366,    7,  3,  6558,    8,  2,  5811,    8,  3, 48801,   //  8, 3 
+  7,  3,  3575,    7,  4,  5283,    8,  3,  4835,    8,  4, 51843,   //  8, 4 
+  7,  4,  2708,    7,  5,  3940,    8,  4,  3720,    8,  5, 55168,   //  8, 5 
+  7,  5,  1766,    7,  6,  2533,    8,  5,  2462,    8,  6, 58775,   //  8, 6 
+  7,  6,   827,    7,  7,  1170,    8,  6,  1170,    8,  7, 62369,   //  8, 7 
+  8,  7,  1170,    8,  8, 62369,    9,  7,   827,    9,  8,  1170,   //  8, 8 
+  8,  8,  2464,    8,  9, 58773,    9,  8,  1767,    9,  9,  2532,   //  8, 9 
+  8,  9,  3726,    8, 10, 55162,    9,  9,  2710,    9, 10,  3938,   //  8,10 
+  8, 10,  4846,    8, 11, 51832,    9, 10,  3579,    9, 11,  5279,   //  8,11 
+  8, 11,  5827,    8, 12, 48785,    9, 11,  4372,    9, 12,  6552,   //  8,12 
+  8, 12,  6680,    8, 13, 45995,    9, 12,  5095,    9, 13,  7766,   //  8,13 
+  8, 13,  7418,    8, 14, 43433,    9, 13,  5756,    9, 14,  8929,   //  8,14 
+  8, 14,  8052,    8, 15, 41072,    9, 14,  6360,    9, 15, 10052,   //  8,15 
+  8, -1,  6489,    8,  0, 10123,    9, -1,  8278,    9,  0, 40646,   //  9, 0 
+  8,  0,  5900,    8,  1,  9032,    9,  0,  7667,    9,  1, 42937,   //  9, 1 
+  8,  1,  5261,    8,  2,  7913,    9,  1,  6961,    9,  2, 45401,   //  9, 2 
+  8,  2,  4572,    8,  3,  6761,    9,  2,  6154,    9,  3, 48049,   //  9, 3 
+  8,  3,  3834,    8,  4,  5581,    9,  3,  5248,    9,  4, 50873,   //  9, 4 
+  8,  4,  3064,    8,  5,  4394,    9,  4,  4262,    9,  5, 53816,   //  9, 5 
+  8,  5,  2316,    8,  6,  3275,    9,  5,  3271,    9,  6, 56674,   //  9, 6 
+  8,  6,  1767,    8,  7,  2464,    9,  6,  2532,    9,  7, 58773,   //  9, 7 
+  9,  7,  2533,    9,  8, 58775,   10,  7,  1766,   10,  8,  2462,   //  9, 8 
+  9,  8,  3275,    9,  9, 56673,   10,  8,  2316,   10,  9,  3272,   //  9, 9 
+  9,  9,  4269,    9, 10, 53813,   10,  9,  3065,   10, 10,  4389,   //  9,10 
+  9, 10,  5261,    9, 11, 50865,   10, 10,  3837,   10, 11,  5573,   //  9,11 
+  9, 11,  6173,    9, 12, 48037,   10, 11,  4576,   10, 12,  6750,   //  9,12 
+  9, 12,  6986,    9, 13, 45383,   10, 12,  5268,   10, 13,  7899,   //  9,13 
+  9, 13,  7699,    9, 14, 42913,   10, 13,  5910,   10, 14,  9014,   //  9,14 
+  9, 14,  8316,    9, 15, 40618,   10, 14,  6502,   10, 15, 10100,   //  9,15 
+  9, -1,  6699,    9,  0, 10265,   10, -1,  8632,   10,  0, 39940,   // 10, 0 
+  9,  0,  6137,    9,  1,  9233,   10,  0,  8061,   10,  1, 42105,   // 10, 1 
+  9,  1,  5537,    9,  2,  8189,   10,  1,  7411,   10,  2, 44399,   // 10, 2 
+  9,  2,  4906,    9,  3,  7138,   10,  2,  6685,   10,  3, 46807,   // 10, 3 
+  9,  3,  4257,    9,  4,  6099,   10,  3,  5901,   10,  4, 49279,   // 10, 4 
+  9,  4,  3621,    9,  5,  5113,   10,  4,  5103,   10,  5, 51699,   // 10, 5 
+  9,  5,  3065,    9,  6,  4269,   10,  5,  4388,   10,  6, 53814,   // 10, 6 
+  9,  6,  2710,    9,  7,  3726,   10,  6,  3938,   10,  7, 55162,   // 10, 7 
+ 10,  7,  3940,   10,  8, 55168,   11,  7,  2708,   11,  8,  3720,   // 10, 8 
+ 10,  8,  4394,   10,  9, 53816,   11,  8,  3064,   11,  9,  4262,   // 10, 9 
+ 10,  9,  5113,   10, 10, 51700,   11,  9,  3621,   11, 10,  5102,   // 10,10 
+ 10, 10,  5917,   10, 11, 49275,   11, 10,  4258,   11, 11,  6086,   // 10,11 
+ 10, 11,  6707,   10, 12, 46798,   11, 11,  4909,   11, 12,  7122,   // 10,12 
+ 10, 12,  7440,   10, 13, 44386,   11, 12,  5543,   11, 13,  8167,   // 10,13 
+ 10, 13,  8098,   10, 14, 42087,   11, 13,  6145,   11, 14,  9206,   // 10,14 
+ 10, 14,  8676,   10, 15, 39918,   11, 14,  6710,   11, 15, 10232,   // 10,15 
+ 10, -1,  6965,   10,  0, 10473,   11, -1,  9072,   11,  0, 39026,   // 11, 0 
+ 10,  0,  6440,   10,  1,  9513,   11,  0,  8557,   11,  1, 41026,   // 11, 1 
+ 10,  1,  5891,   10,  2,  8559,   11,  1,  7981,   11,  2, 43105,   // 11, 2 
+ 10,  2,  5330,   10,  3,  7622,   11,  2,  7356,   11,  3, 45228,   // 11, 3 
+ 10,  3,  4774,   10,  4,  6727,   11,  3,  6708,   11,  4, 47327,   // 11, 4 
+ 10,  4,  4258,   10,  5,  5917,   11,  4,  6086,   11,  5, 49275,   // 11, 5 
+ 10,  5,  3837,   10,  6,  5261,   11,  5,  5573,   11,  6, 50865,   // 11, 6 
+ 10,  6,  3579,   10,  7,  4846,   11,  6,  5280,   11,  7, 51831,   // 11, 7 
+ 11,  7,  5283,   11,  8, 51842,   12,  7,  3575,   12,  8,  4836,   // 11, 8 
+ 11,  8,  5581,   11,  9, 50873,   12,  8,  3834,   12,  9,  5248,   // 11, 9 
+ 11,  9,  6099,   11, 10, 49279,   12,  9,  4257,   12, 10,  5901,   // 11,10 
+ 11, 10,  6727,   11, 11, 47328,   12, 10,  4774,   12, 11,  6707,   // 11,11 
+ 11, 11,  7382,   11, 12, 45224,   12, 11,  5331,   12, 12,  7599,   // 11,12 
+ 11, 12,  8015,   11, 13, 43096,   12, 12,  5895,   12, 13,  8530,   // 11,13 
+ 11, 13,  8599,   11, 14, 41013,   12, 13,  6447,   12, 14,  9477,   // 11,14 
+ 11, 14,  9122,   11, 15, 39009,   12, 14,  6975,   12, 15, 10430,   // 11,15 
+ 11, -1,  7276,   11,  0, 10723,   12, -1,  9585,   12,  0, 37952,   // 12, 0 
+ 11,  0,  6792,   11,  1,  9841,   12,  0,  9135,   12,  1, 39768,   // 12, 1 
+ 11,  1,  6297,   11,  2,  8979,   12,  1,  8641,   12,  2, 41619,   // 12, 2 
+ 11,  2,  5804,   11,  3,  8151,   12,  2,  8120,   12,  3, 43461,   // 12, 3 
+ 11,  3,  5331,   11,  4,  7382,   12,  3,  7598,   12,  4, 45225,   // 12, 4 
+ 11,  4,  4909,   11,  5,  6707,   12,  4,  7121,   12,  5, 46799,   // 12, 5 
+ 11,  5,  4576,   11,  6,  6173,   12,  5,  6750,   12,  6, 48037,   // 12, 6 
+ 11,  6,  4372,   11,  7,  5827,   12,  6,  6552,   12,  7, 48785,   // 12, 7 
+ 12,  7,  6558,   12,  8, 48801,   13,  7,  4366,   13,  8,  5811,   // 12, 8 
+ 12,  8,  6761,   12,  9, 48049,   13,  8,  4572,   13,  9,  6154,   // 12, 9 
+ 12,  9,  7138,   12, 10, 46806,   13,  9,  4906,   13, 10,  6686,   // 12,10 
+ 12, 10,  7622,   12, 11, 45229,   13, 10,  5330,   13, 11,  7355,   // 12,11 
+ 12, 11,  8151,   12, 12, 43461,   13, 11,  5804,   13, 12,  8120,   // 12,12 
+ 12, 12,  8681,   12, 13, 41614,   13, 12,  6299,   13, 13,  8942,   // 12,13 
+ 12, 13,  9184,   12, 14, 39759,   13, 13,  6797,   13, 14,  9796,   // 12,14 
+ 12, 14,  9642,   12, 15, 37939,   13, 14,  7285,   13, 15, 10670,   // 12,15 
+ 12, -1,  7620,   12,  0, 10994,   13, -1, 10158,   13,  0, 36764,   // 13, 0 
+ 12,  0,  7177,   12,  1, 10188,   13,  0,  9777,   13,  1, 38394,   // 13, 1 
+ 12,  1,  6732,   12,  2,  9413,   13,  1,  9366,   13,  2, 40025,   // 13, 2 
+ 12,  2,  6299,   12,  3,  8681,   13,  2,  8941,   13,  3, 41615,   // 13, 3 
+ 12,  3,  5895,   12,  4,  8015,   13,  3,  8530,   13,  4, 43096,   // 13, 4 
+ 12,  4,  5543,   12,  5,  7440,   13,  4,  8167,   13,  5, 44386,   // 13, 5 
+ 12,  5,  5268,   12,  6,  6986,   13,  5,  7899,   13,  6, 45383,   // 13, 6 
+ 12,  6,  5095,   12,  7,  6680,   13,  6,  7766,   13,  7, 45995,   // 13, 7 
+ 13,  7,  7773,   13,  8, 46017,   14,  7,  5087,   14,  8,  6659,   // 13, 8 
+ 13,  8,  7913,   13,  9, 45401,   14,  8,  5261,   14,  9,  6961,   // 13, 9 
+ 13,  9,  8189,   13, 10, 44399,   14,  9,  5537,   14, 10,  7411,   // 13,10 
+ 13, 10,  8559,   13, 11, 43105,   14, 10,  5891,   14, 11,  7981,   // 13,11 
+ 13, 11,  8979,   13, 12, 41618,   14, 11,  6297,   14, 12,  8642,   // 13,12 
+ 13, 12,  9413,   13, 13, 40025,   14, 12,  6732,   14, 13,  9366,   // 13,13 
+ 13, 13,  9834,   13, 14, 38390,   14, 13,  7179,   14, 14, 10133,   // 13,14 
+ 13, 14, 10224,   13, 15, 36756,   14, 14,  7626,   14, 15, 10930,   // 13,15 
+ 13, -1,  7983,   13,  0, 11267,   14, -1, 10780,   14,  0, 35506,   // 14, 0 
+ 13,  0,  7579,   13,  1, 10532,   14,  0, 10467,   14,  1, 36958,   // 14, 1 
+ 13,  1,  7179,   13,  2,  9834,   14,  1, 10133,   14,  2, 38390,   // 14, 2 
+ 13,  2,  6797,   13,  3,  9184,   14,  2,  9796,   14,  3, 39759,   // 14, 3 
+ 13,  3,  6447,   13,  4,  8599,   14,  3,  9478,   14,  4, 41012,   // 14, 4 
+ 13,  4,  6145,   13,  5,  8098,   14,  4,  9206,   14,  5, 42087,   // 14, 5 
+ 13,  5,  5910,   13,  6,  7699,   14,  5,  9014,   14,  6, 42913,   // 14, 6 
+ 13,  6,  5756,   13,  7,  7418,   14,  6,  8929,   14,  7, 43433,   // 14, 7 
+ 14,  7,  8939,   14,  8, 43461,   15,  7,  5745,   15,  8,  7391,   // 14, 8 
+ 14,  8,  9032,   14,  9, 42936,   15,  8,  5900,   15,  9,  7668,   // 14, 9 
+ 14,  9,  9233,   14, 10, 42105,   15,  9,  6137,   15, 10,  8061,   // 14,10 
+ 14, 10,  9513,   14, 11, 41026,   15, 10,  6440,   15, 11,  8557,   // 14,11 
+ 14, 11,  9841,   14, 12, 39767,   15, 11,  6792,   15, 12,  9136,   // 14,12 
+ 14, 12, 10188,   14, 13, 38394,   15, 12,  7177,   15, 13,  9777,   // 14,13 
+ 14, 13, 10532,   14, 14, 36959,   15, 13,  7579,   15, 14, 10466,   // 14,14 
+ 14, 14, 10855,   14, 15, 35502,   15, 14,  7987,   15, 15, 11192,   // 14,15 
+ 14, -1,  8358,   14,  0, 11526,   15, -1, 11440,   15,  0, 34212,   // 15, 0 
+ 14,  0,  7987,   14,  1, 10855,   15,  0, 11192,   15,  1, 35502,   // 15, 1 
+ 14,  1,  7626,   14,  2, 10224,   15,  1, 10930,   15,  2, 36756,   // 15, 2 
+ 14,  2,  7285,   14,  3,  9642,   15,  2, 10670,   15,  3, 37939,   // 15, 3 
+ 14,  3,  6975,   14,  4,  9122,   15,  3, 10430,   15,  4, 39009,   // 15, 4 
+ 14,  4,  6710,   14,  5,  8676,   15,  4, 10232,   15,  5, 39918,   // 15, 5 
+ 14,  5,  6502,   14,  6,  8316,   15,  5, 10100,   15,  6, 40618,   // 15, 6 
+ 14,  6,  6360,   14,  7,  8052,   15,  6, 10052,   15,  7, 41072,   // 15, 7 
+ 15,  7, 10066,   15,  8, 41106,   16,  7,  6346,   16,  8,  8018,   // 15, 8 
+ 15,  8, 10123,   15,  9, 40646,   16,  8,  6489,   16,  9,  8278,   // 15, 9 
+ 15,  9, 10265,   15, 10, 39940,   16,  9,  6699,   16, 10,  8632,   // 15,10 
+ 15, 10, 10473,   15, 11, 39026,   16, 10,  6965,   16, 11,  9072,   // 15,11 
+ 15, 11, 10723,   15, 12, 37951,   16, 11,  7276,   16, 12,  9586,   // 15,12 
+ 15, 12, 10994,   15, 13, 36764,   16, 12,  7620,   16, 13, 10158,   // 15,13 
+ 15, 13, 11267,   15, 14, 35506,   16, 13,  7983,   16, 14, 10780,   // 15,14 
+ 15, 14, 11526,   15, 15, 34212,   16, 14,  8358,   16, 15, 11440,   // 15,15 
+ // angle of -1.0 degrees
+ -1,  0,  8769,   -1,  1,  6280,    0,  0, 41693,    0,  1,  8794,   //  0, 0 
+ -1,  1,  8265,   -1,  2,  5974,    0,  1, 42823,    0,  2,  8474,   //  0, 1 
+ -1,  2,  7791,   -1,  3,  5682,    0,  2, 43904,    0,  3,  8159,   //  0, 2 
+ -1,  3,  7356,   -1,  4,  5410,    0,  3, 44907,    0,  4,  7863,   //  0, 3 
+ -1,  4,  6970,   -1,  5,  5169,    0,  4, 45799,    0,  5,  7598,   //  0, 4 
+ -1,  5,  6644,   -1,  6,  4967,    0,  5, 46541,    0,  6,  7384,   //  0, 5 
+ -1,  6,  6391,   -1,  7,  4814,    0,  6, 47098,    0,  7,  7233,   //  0, 6 
+ -1,  7,  6217,   -1,  8,  4718,    0,  7, 47440,    0,  8,  7161,   //  0, 7 
+  0,  8, 47426,    0,  9,  7158,    1,  8,  6230,    1,  9,  4722,   //  0, 8 
+  0,  9, 47086,    0, 10,  7227,    1,  9,  6405,    1, 10,  4818,   //  0, 9 
+  0, 10, 46532,    0, 11,  7374,    1, 10,  6659,    1, 11,  4971,   //  0,10 
+  0, 11, 45791,    0, 12,  7587,    1, 11,  6986,    1, 12,  5172,   //  0,11 
+  0, 12, 44901,    0, 13,  7848,    1, 12,  7374,    1, 13,  5413,   //  0,12 
+  0, 13, 43900,    0, 14,  8141,    1, 13,  7812,    1, 14,  5683,   //  0,13 
+  0, 14, 42821,    0, 15,  8452,    1, 14,  8288,    1, 15,  5975,   //  0,14 
+  0, 15, 41693,    0, 16,  8769,    1, 15,  8795,    1, 16,  6279,   //  0,15 
+  0,  0,  8452,    0,  1,  5975,    1,  0, 42821,    1,  1,  8288,   //  1, 0 
+  0,  1,  7901,    0,  2,  5640,    1,  1, 44074,    1,  2,  7921,   //  1, 1 
+  0,  2,  7378,    0,  3,  5315,    1,  2, 45288,    1,  3,  7555,   //  1, 2 
+  0,  3,  6892,    0,  4,  5009,    1,  3, 46430,    1,  4,  7205,   //  1, 3 
+  0,  4,  6458,    0,  5,  4734,    1,  4, 47458,    1,  5,  6886,   //  1, 4 
+  0,  5,  6092,    0,  6,  4502,    1,  5, 48322,    1,  6,  6620,   //  1, 5 
+  0,  6,  5809,    0,  7,  4327,    1,  6, 48969,    1,  7,  6431,   //  1, 6 
+  0,  7,  5623,    0,  8,  4221,    1,  7, 49358,    1,  8,  6334,   //  1, 7 
+  1,  8, 49347,    1,  9,  6332,    2,  8,  5633,    2,  9,  4224,   //  1, 8 
+  1,  9, 48960,    1, 10,  6425,    2,  9,  5820,    2, 10,  4331,   //  1, 9 
+  1, 10, 48314,    1, 11,  6613,    2, 10,  6104,    2, 11,  4505,   //  1,10 
+  1, 11, 47453,    1, 12,  6875,    2, 11,  6472,    2, 12,  4736,   //  1,11 
+  1, 12, 46427,    1, 13,  7191,    2, 12,  6908,    2, 13,  5010,   //  1,12 
+  1, 13, 45286,    1, 14,  7539,    2, 13,  7395,    2, 14,  5316,   //  1,13 
+  1, 14, 44074,    1, 15,  7901,    2, 14,  7921,    2, 15,  5640,   //  1,14 
+  1, 15, 42823,    1, 16,  8265,    2, 15,  8474,    2, 16,  5974,   //  1,15 
+  1,  0,  8141,    1,  1,  5684,    2,  0, 43900,    2,  1,  7811,   //  2, 0 
+  1,  1,  7539,    1,  2,  5316,    2,  1, 45286,    2,  2,  7395,   //  2, 1 
+  1,  2,  6959,    1,  3,  4954,    2,  2, 46650,    2,  3,  6973,   //  2, 2 
+  1,  3,  6414,    1,  4,  4607,    2,  3, 47955,    2,  4,  6560,   //  2, 3 
+  1,  4,  5920,    1,  5,  4290,    2,  4, 49150,    2,  5,  6176,   //  2, 4 
+  1,  5,  5499,    1,  6,  4019,    2,  5, 50171,    2,  6,  5847,   //  2, 5 
+  1,  6,  5175,    1,  7,  3813,    2,  6, 50942,    2,  7,  5606,   //  2, 6 
+  1,  7,  4970,    1,  8,  3691,    2,  7, 51395,    2,  8,  5480,   //  2, 7 
+  2,  8, 51387,    2,  9,  5478,    3,  8,  4978,    3,  9,  3693,   //  2, 8 
+  2,  9, 50935,    2, 10,  5602,    3,  9,  5184,    3, 10,  3815,   //  2, 9 
+  2, 10, 50165,    2, 11,  5842,    3, 10,  5508,    3, 11,  4021,   //  2,10 
+  2, 11, 49147,    2, 12,  6168,    3, 11,  5930,    3, 12,  4291,   //  2,11 
+  2, 12, 47953,    2, 13,  6549,    3, 12,  6426,    3, 13,  4608,   //  2,12 
+  2, 13, 46650,    2, 14,  6959,    3, 13,  6973,    3, 14,  4954,   //  2,13 
+  2, 14, 45288,    2, 15,  7378,    3, 14,  7555,    3, 15,  5315,   //  2,14 
+  2, 15, 43904,    2, 16,  7791,    3, 15,  8159,    3, 16,  5682,   //  2,15 
+  2,  0,  7848,    2,  1,  5413,    3,  0, 44901,    3,  1,  7374,   //  3, 0 
+  2,  1,  7191,    2,  2,  5011,    3,  1, 46427,    3,  2,  6907,   //  3, 1 
+  2,  2,  6549,    2,  3,  4608,    3,  2, 47953,    3,  3,  6426,   //  3, 2 
+  2,  3,  5934,    2,  4,  4214,    3,  3, 49445,    3,  4,  5943,   //  3, 3 
+  2,  4,  5365,    2,  5,  3845,    3,  4, 50844,    3,  5,  5482,   //  3, 4 
+  2,  5,  4872,    2,  6,  3522,    3,  5, 52069,    3,  6,  5073,   //  3, 5 
+  2,  6,  4489,    2,  7,  3273,    3,  6, 53012,    3,  7,  4762,   //  3, 6 
+  2,  7,  4254,    2,  8,  3126,    3,  7, 53562,    3,  8,  4594,   //  3, 7 
+  3,  8, 53557,    3,  9,  4592,    4,  8,  4259,    4,  9,  3128,   //  3, 8 
+  3,  9, 53008,    3, 10,  4759,    4,  9,  4495,    4, 10,  3274,   //  3, 9 
+  3, 10, 52066,    3, 11,  5069,    4, 10,  4879,    4, 11,  3522,   //  3,10 
+  3, 11, 50843,    3, 12,  5474,    4, 11,  5373,    4, 12,  3846,   //  3,11 
+  3, 12, 49445,    3, 13,  5934,    4, 12,  5943,    4, 13,  4214,   //  3,12 
+  3, 13, 47955,    3, 14,  6414,    4, 13,  6560,    4, 14,  4607,   //  3,13 
+  3, 14, 46430,    3, 15,  6892,    4, 14,  7204,    4, 15,  5010,   //  3,14 
+  3, 15, 44907,    3, 16,  7356,    4, 15,  7863,    4, 16,  5410,   //  3,15 
+  3,  0,  7587,    3,  1,  5172,    4,  0, 45791,    4,  1,  6986,   //  4, 0 
+  3,  1,  6875,    3,  2,  4736,    4,  1, 47453,    4,  2,  6472,   //  4, 1 
+  3,  2,  6168,    3,  3,  4291,    4,  2, 49147,    4,  3,  5930,   //  4, 2 
+  3,  3,  5474,    3,  4,  3846,    4,  3, 50843,    4,  4,  5373,   //  4, 3 
+  3,  4,  4816,    3,  5,  3415,    4,  4, 52484,    4,  5,  4821,   //  4, 4 
+  3,  5,  4226,    3,  6,  3023,    4,  5, 53975,    4,  6,  4312,   //  4, 5 
+  3,  6,  3755,    3,  7,  2710,    4,  6, 55166,    4,  7,  3905,   //  4, 6 
+  3,  7,  3469,    3,  8,  2524,    4,  7, 55870,    4,  8,  3673,   //  4, 7 
+  4,  8, 55867,    4,  9,  3671,    5,  8,  3473,    5,  9,  2525,   //  4, 8 
+  4,  9, 55164,    4, 10,  3902,    5,  9,  3759,    5, 10,  2711,   //  4, 9 
+  4, 10, 53973,    4, 11,  4309,    5, 10,  4230,    5, 11,  3024,   //  4,10 
+  4, 11, 52484,    4, 12,  4816,    5, 11,  4822,    5, 12,  3414,   //  4,11 
+  4, 12, 50844,    4, 13,  5365,    5, 12,  5481,    5, 13,  3846,   //  4,12 
+  4, 13, 49150,    4, 14,  5920,    5, 13,  6176,    5, 14,  4290,   //  4,13 
+  4, 14, 47458,    4, 15,  6458,    5, 14,  6886,    5, 15,  4734,   //  4,14 
+  4, 15, 45799,    4, 16,  6970,    5, 15,  7599,    5, 16,  5168,   //  4,15 
+  4,  0,  7374,    4,  1,  4971,    5,  0, 46532,    5,  1,  6659,   //  5, 0 
+  4,  1,  6613,    4,  2,  4505,    5,  1, 48314,    5,  2,  6104,   //  5, 1 
+  4,  2,  5842,    4,  3,  4020,    5,  2, 50165,    5,  3,  5509,   //  5, 2 
+  4,  3,  5069,    4,  4,  3523,    5,  3, 52066,    5,  4,  4878,   //  5, 3 
+  4,  4,  4309,    4,  5,  3023,    5,  4, 53973,    5,  5,  4231,   //  5, 4 
+  4,  5,  3595,    4,  6,  2546,    5,  5, 55798,    5,  6,  3597,   //  5, 5 
+  4,  6,  2993,    4,  7,  2138,    5,  6, 57354,    5,  7,  3051,   //  5, 6 
+  4,  7,  2615,    4,  8,  1884,    5,  7, 58324,    5,  8,  2713,   //  5, 7 
+  5,  8, 58322,    5,  9,  2713,    6,  8,  2616,    6,  9,  1885,   //  5, 8 
+  5,  9, 57353,    5, 10,  3050,    6,  9,  2995,    6, 10,  2138,   //  5, 9 
+  5, 10, 55798,    5, 11,  3595,    6, 10,  3598,    6, 11,  2545,   //  5,10 
+  5, 11, 53975,    5, 12,  4226,    6, 11,  4313,    6, 12,  3022,   //  5,11 
+  5, 12, 52069,    5, 13,  4872,    6, 12,  5073,    6, 13,  3522,   //  5,12 
+  5, 13, 50171,    5, 14,  5499,    6, 13,  5848,    6, 14,  4018,   //  5,13 
+  5, 14, 48322,    5, 15,  6092,    6, 14,  6620,    6, 15,  4502,   //  5,14 
+  5, 15, 46541,    5, 16,  6644,    6, 15,  7383,    6, 16,  4968,   //  5,15 
+  5,  0,  7227,    5,  1,  4818,    6,  0, 47086,    6,  1,  6405,   //  6, 0 
+  5,  1,  6425,    5,  2,  4330,    6,  1, 48960,    6,  2,  5821,   //  6, 1 
+  5,  2,  5602,    5,  3,  3815,    6,  2, 50935,    6,  3,  5184,   //  6, 2 
+  5,  3,  4759,    5,  4,  3274,    6,  3, 53008,    6,  4,  4495,   //  6, 3 
+  5,  4,  3902,    5,  5,  2711,    6,  4, 55164,    6,  5,  3759,   //  6, 4 
+  5,  5,  3050,    5,  6,  2138,    6,  5, 57353,    6,  6,  2995,   //  6, 5 
+  5,  6,  2258,    5,  7,  1597,    6,  6, 59422,    6,  7,  2259,   //  6, 6 
+  5,  7,  1695,    5,  8,  1209,    6,  7, 60906,    6,  8,  1726,   //  6, 7 
+  6,  8, 60905,    6,  9,  1726,    7,  8,  1695,    7,  9,  1210,   //  6, 8 
+  6,  9, 59422,    6, 10,  2258,    7,  9,  2259,    7, 10,  1597,   //  6, 9 
+  6, 10, 57354,    6, 11,  2993,    7, 10,  3051,    7, 11,  2138,   //  6,10 
+  6, 11, 55166,    6, 12,  3755,    7, 11,  3904,    7, 12,  2711,   //  6,11 
+  6, 12, 53012,    6, 13,  4489,    7, 12,  4762,    7, 13,  3273,   //  6,12 
+  6, 13, 50942,    6, 14,  5175,    7, 13,  5606,    7, 14,  3813,   //  6,13 
+  6, 14, 48969,    6, 15,  5809,    7, 14,  6430,    7, 15,  4328,   //  6,14 
+  6, 15, 47098,    6, 16,  6391,    7, 15,  7233,    7, 16,  4814,   //  6,15 
+  6,  0,  7158,    6,  1,  4722,    7,  0, 47426,    7,  1,  6230,   //  7, 0 
+  6,  1,  6332,    6,  2,  4224,    7,  1, 49347,    7,  2,  5633,   //  7, 1 
+  6,  2,  5478,    6,  3,  3693,    7,  2, 51387,    7,  3,  4978,   //  7, 2 
+  6,  3,  4592,    6,  4,  3128,    7,  3, 53557,    7,  4,  4259,   //  7, 3 
+  6,  4,  3671,    6,  5,  2525,    7,  4, 55867,    7,  5,  3473,   //  7, 4 
+  6,  5,  2713,    6,  6,  1884,    7,  5, 58322,    7,  6,  2617,   //  7, 5 
+  6,  6,  1726,    6,  7,  1210,    7,  6, 60905,    7,  7,  1695,   //  7, 6 
+  6,  7,   789,    6,  8,   558,    7,  7, 63399,    7,  8,   790,   //  7, 7 
+  7,  8, 63399,    7,  9,   789,    8,  8,   789,    8,  9,   559,   //  7, 8 
+  7,  9, 60906,    7, 10,  1695,    8,  9,  1726,    8, 10,  1209,   //  7, 9 
+  7, 10, 58324,    7, 11,  2615,    8, 10,  2714,    8, 11,  1883,   //  7,10 
+  7, 11, 55870,    7, 12,  3469,    8, 11,  3672,    8, 12,  2525,   //  7,11 
+  7, 12, 53562,    7, 13,  4254,    8, 12,  4594,    8, 13,  3126,   //  7,12 
+  7, 13, 51395,    7, 14,  4970,    8, 13,  5480,    8, 14,  3691,   //  7,13 
+  7, 14, 49358,    7, 15,  5623,    8, 14,  6335,    8, 15,  4220,   //  7,14 
+  7, 15, 47440,    7, 16,  6217,    8, 15,  7161,    8, 16,  4718,   //  7,15 
+  7, -1,  4718,    7,  0,  7161,    8, -1,  6217,    8,  0, 47440,   //  8, 0 
+  7,  0,  4221,    7,  1,  6335,    8,  0,  5623,    8,  1, 49357,   //  8, 1 
+  7,  1,  3691,    7,  2,  5480,    8,  1,  4970,    8,  2, 51395,   //  8, 2 
+  7,  2,  3126,    7,  3,  4594,    8,  2,  4254,    8,  3, 53562,   //  8, 3 
+  7,  3,  2524,    7,  4,  3672,    8,  3,  3469,    8,  4, 55871,   //  8, 4 
+  7,  4,  1884,    7,  5,  2714,    8,  4,  2615,    8,  5, 58323,   //  8, 5 
+  7,  5,  1209,    7,  6,  1726,    8,  5,  1695,    8,  6, 60906,   //  8, 6 
+  7,  6,   558,    7,  7,   789,    8,  6,   789,    8,  7, 63400,   //  8, 7 
+  8,  7,   789,    8,  8, 63399,    9,  7,   558,    9,  8,   790,   //  8, 8 
+  8,  8,  1695,    8,  9, 60905,    9,  8,  1210,    9,  9,  1726,   //  8, 9 
+  8,  9,  2616,    8, 10, 58322,    9,  9,  1884,    9, 10,  2714,   //  8,10 
+  8, 10,  3473,    8, 11, 55867,    9, 10,  2525,    9, 11,  3671,   //  8,11 
+  8, 11,  4259,    8, 12, 53557,    9, 11,  3128,    9, 12,  4592,   //  8,12 
+  8, 12,  4978,    8, 13, 51387,    9, 12,  3693,    9, 13,  5478,   //  8,13 
+  8, 13,  5633,    8, 14, 49347,    9, 13,  4224,    9, 14,  6332,   //  8,14 
+  8, 14,  6230,    8, 15, 47426,    9, 14,  4722,    9, 15,  7158,   //  8,15 
+  8, -1,  4814,    8,  0,  7233,    9, -1,  6391,    9,  0, 47098,   //  9, 0 
+  8,  0,  4327,    8,  1,  6430,    9,  0,  5809,    9,  1, 48970,   //  9, 1 
+  8,  1,  3813,    8,  2,  5606,    9,  1,  5175,    9,  2, 50942,   //  9, 2 
+  8,  2,  3273,    8,  3,  4762,    9,  2,  4489,    9,  3, 53012,   //  9, 3 
+  8,  3,  2710,    8,  4,  3904,    9,  3,  3755,    9,  4, 55167,   //  9, 4 
+  8,  4,  2138,    8,  5,  3051,    9,  4,  2993,    9,  5, 57354,   //  9, 5 
+  8,  5,  1597,    8,  6,  2259,    9,  5,  2258,    9,  6, 59422,   //  9, 6 
+  8,  6,  1210,    8,  7,  1695,    9,  6,  1726,    9,  7, 60905,   //  9, 7 
+  9,  7,  1726,    9,  8, 60906,   10,  7,  1209,   10,  8,  1695,   //  9, 8 
+  9,  8,  2259,    9,  9, 59422,   10,  8,  1597,   10,  9,  2258,   //  9, 9 
+  9,  9,  2995,    9, 10, 57353,   10,  9,  2138,   10, 10,  3050,   //  9,10 
+  9, 10,  3759,    9, 11, 55164,   10, 10,  2711,   10, 11,  3902,   //  9,11 
+  9, 11,  4495,    9, 12, 53008,   10, 11,  3274,   10, 12,  4759,   //  9,12 
+  9, 12,  5184,    9, 13, 50935,   10, 12,  3815,   10, 13,  5602,   //  9,13 
+  9, 13,  5820,    9, 14, 48960,   10, 13,  4330,   10, 14,  6426,   //  9,14 
+  9, 14,  6405,    9, 15, 47086,   10, 14,  4818,   10, 15,  7227,   //  9,15 
+  9, -1,  4967,    9,  0,  7383,   10, -1,  6644,   10,  0, 46542,   // 10, 0 
+  9,  0,  4502,    9,  1,  6620,   10,  0,  6092,   10,  1, 48322,   // 10, 1 
+  9,  1,  4019,    9,  2,  5848,   10,  1,  5499,   10,  2, 50170,   // 10, 2 
+  9,  2,  3522,    9,  3,  5073,   10,  2,  4872,   10,  3, 52069,   // 10, 3 
+  9,  3,  3023,    9,  4,  4313,   10,  3,  4226,   10,  4, 53974,   // 10, 4 
+  9,  4,  2546,    9,  5,  3598,   10,  4,  3595,   10,  5, 55797,   // 10, 5 
+  9,  5,  2138,    9,  6,  2995,   10,  5,  3050,   10,  6, 57353,   // 10, 6 
+  9,  6,  1884,    9,  7,  2616,   10,  6,  2713,   10,  7, 58323,   // 10, 7 
+ 10,  7,  2714,   10,  8, 58324,   11,  7,  1884,   11,  8,  2614,   // 10, 8 
+ 10,  8,  3051,   10,  9, 57354,   11,  8,  2138,   11,  9,  2993,   // 10, 9 
+ 10,  9,  3598,   10, 10, 55798,   11,  9,  2546,   11, 10,  3594,   // 10,10 
+ 10, 10,  4230,   10, 11, 53973,   11, 10,  3023,   11, 11,  4310,   // 10,11 
+ 10, 11,  4879,   10, 12, 52066,   11, 11,  3523,   11, 12,  5068,   // 10,12 
+ 10, 12,  5508,   10, 13, 50165,   11, 12,  4020,   11, 13,  5843,   // 10,13 
+ 10, 13,  6104,   10, 14, 48314,   11, 13,  4505,   11, 14,  6613,   // 10,14 
+ 10, 14,  6659,   10, 15, 46532,   11, 14,  4971,   11, 15,  7374,   // 10,15 
+ 10, -1,  5169,   10,  0,  7599,   11, -1,  6970,   11,  0, 45798,   // 11, 0 
+ 10,  0,  4734,   10,  1,  6886,   11,  0,  6458,   11,  1, 47458,   // 11, 1 
+ 10,  1,  4290,   10,  2,  6176,   11,  1,  5920,   11,  2, 49150,   // 11, 2 
+ 10,  2,  3845,   10,  3,  5481,   11,  2,  5365,   11,  3, 50845,   // 11, 3 
+ 10,  3,  3415,   10,  4,  4822,   11,  3,  4816,   11,  4, 52483,   // 11, 4 
+ 10,  4,  3023,   10,  5,  4230,   11,  4,  4309,   11,  5, 53974,   // 11, 5 
+ 10,  5,  2711,   10,  6,  3759,   11,  5,  3902,   11,  6, 55164,   // 11, 6 
+ 10,  6,  2525,   10,  7,  3473,   11,  6,  3671,   11,  7, 55867,   // 11, 7 
+ 11,  7,  3672,   11,  8, 55870,   12,  7,  2524,   12,  8,  3470,   // 11, 8 
+ 11,  8,  3904,   11,  9, 55166,   12,  8,  2710,   12,  9,  3756,   // 11, 9 
+ 11,  9,  4313,   11, 10, 53975,   12,  9,  3023,   12, 10,  4225,   // 11,10 
+ 11, 10,  4822,   11, 11, 52484,   12, 10,  3415,   12, 11,  4815,   // 11,11 
+ 11, 11,  5373,   11, 12, 50843,   12, 11,  3846,   12, 12,  5474,   // 11,12 
+ 11, 12,  5930,   11, 13, 49147,   12, 12,  4291,   12, 13,  6168,   // 11,13 
+ 11, 13,  6472,   11, 14, 47453,   12, 13,  4736,   12, 14,  6875,   // 11,14 
+ 11, 14,  6986,   11, 15, 45791,   12, 14,  5172,   12, 15,  7587,   // 11,15 
+ 11, -1,  5410,   11,  0,  7863,   12, -1,  7356,   12,  0, 44907,   // 12, 0 
+ 11,  0,  5009,   11,  1,  7204,   12,  0,  6892,   12,  1, 46431,   // 12, 1 
+ 11,  1,  4607,   11,  2,  6560,   12,  1,  6414,   12,  2, 47955,   // 12, 2 
+ 11,  2,  4214,   11,  3,  5943,   12,  2,  5934,   12,  3, 49445,   // 12, 3 
+ 11,  3,  3846,   11,  4,  5373,   12,  3,  5474,   12,  4, 50843,   // 12, 4 
+ 11,  4,  3523,   11,  5,  4879,   12,  4,  5069,   12,  5, 52065,   // 12, 5 
+ 11,  5,  3274,   11,  6,  4495,   12,  5,  4759,   12,  6, 53008,   // 12, 6 
+ 11,  6,  3128,   11,  7,  4259,   12,  6,  4592,   12,  7, 53557,   // 12, 7 
+ 12,  7,  4594,   12,  8, 53562,   13,  7,  3126,   13,  8,  4254,   // 12, 8 
+ 12,  8,  4762,   12,  9, 53012,   13,  8,  3273,   13,  9,  4489,   // 12, 9 
+ 12,  9,  5073,   12, 10, 52069,   13,  9,  3522,   13, 10,  4872,   // 12,10 
+ 12, 10,  5481,   12, 11, 50844,   13, 10,  3845,   13, 11,  5366,   // 12,11 
+ 12, 11,  5943,   12, 12, 49445,   13, 11,  4214,   13, 12,  5934,   // 12,12 
+ 12, 12,  6426,   12, 13, 47953,   13, 12,  4608,   13, 13,  6549,   // 12,13 
+ 12, 13,  6908,   12, 14, 46427,   13, 13,  5011,   13, 14,  7190,   // 12,14 
+ 12, 14,  7374,   12, 15, 44901,   13, 14,  5413,   13, 15,  7848,   // 12,15 
+ 12, -1,  5682,   12,  0,  8159,   13, -1,  7791,   13,  0, 43904,   // 13, 0 
+ 12,  0,  5315,   12,  1,  7555,   13,  0,  7378,   13,  1, 45288,   // 13, 1 
+ 12,  1,  4954,   12,  2,  6973,   13,  1,  6959,   13,  2, 46650,   // 13, 2 
+ 12,  2,  4608,   12,  3,  6426,   13,  2,  6549,   13,  3, 47953,   // 13, 3 
+ 12,  3,  4291,   12,  4,  5930,   13,  3,  6168,   13,  4, 49147,   // 13, 4 
+ 12,  4,  4020,   12,  5,  5508,   13,  4,  5842,   13,  5, 50166,   // 13, 5 
+ 12,  5,  3815,   12,  6,  5184,   13,  5,  5602,   13,  6, 50935,   // 13, 6 
+ 12,  6,  3693,   12,  7,  4978,   13,  6,  5478,   13,  7, 51387,   // 13, 7 
+ 13,  7,  5480,   13,  8, 51395,   14,  7,  3691,   14,  8,  4970,   // 13, 8 
+ 13,  8,  5606,   13,  9, 50942,   14,  8,  3813,   14,  9,  5175,   // 13, 9 
+ 13,  9,  5848,   13, 10, 50171,   14,  9,  4019,   14, 10,  5498,   // 13,10 
+ 13, 10,  6176,   13, 11, 49150,   14, 10,  4290,   14, 11,  5920,   // 13,11 
+ 13, 11,  6560,   13, 12, 47955,   14, 11,  4607,   14, 12,  6414,   // 13,12 
+ 13, 12,  6973,   13, 13, 46650,   14, 12,  4954,   14, 13,  6959,   // 13,13 
+ 13, 13,  7395,   13, 14, 45286,   14, 13,  5316,   14, 14,  7539,   // 13,14 
+ 13, 14,  7812,   13, 15, 43900,   14, 14,  5684,   14, 15,  8140,   // 13,15 
+ 13, -1,  5974,   13,  0,  8474,   14, -1,  8265,   14,  0, 42823,   // 14, 0 
+ 13,  0,  5640,   13,  1,  7921,   14,  0,  7901,   14,  1, 44074,   // 14, 1 
+ 13,  1,  5316,   13,  2,  7395,   14,  1,  7539,   14,  2, 45286,   // 14, 2 
+ 13,  2,  5011,   13,  3,  6908,   14,  2,  7191,   14,  3, 46426,   // 14, 3 
+ 13,  3,  4736,   13,  4,  6472,   14,  3,  6875,   14,  4, 47453,   // 14, 4 
+ 13,  4,  4505,   13,  5,  6104,   14,  4,  6613,   14,  5, 48314,   // 14, 5 
+ 13,  5,  4330,   13,  6,  5820,   14,  5,  6425,   14,  6, 48961,   // 14, 6 
+ 13,  6,  4224,   13,  7,  5633,   14,  6,  6332,   14,  7, 49347,   // 14, 7 
+ 14,  7,  6335,   14,  8, 49358,   15,  7,  4221,   15,  8,  5622,   // 14, 8 
+ 14,  8,  6430,   14,  9, 48969,   15,  8,  4327,   15,  9,  5810,   // 14, 9 
+ 14,  9,  6620,   14, 10, 48322,   15,  9,  4502,   15, 10,  6092,   // 14,10 
+ 14, 10,  6886,   14, 11, 47458,   15, 10,  4734,   15, 11,  6458,   // 14,11 
+ 14, 11,  7204,   14, 12, 46430,   15, 11,  5009,   15, 12,  6893,   // 14,12 
+ 14, 12,  7555,   14, 13, 45288,   15, 12,  5315,   15, 13,  7378,   // 14,13 
+ 14, 13,  7921,   14, 14, 44074,   15, 13,  5640,   15, 14,  7901,   // 14,14 
+ 14, 14,  8288,   14, 15, 42821,   15, 14,  5975,   15, 15,  8452,   // 14,15 
+ 14, -1,  6280,   14,  0,  8795,   15, -1,  8769,   15,  0, 41692,   // 15, 0 
+ 14,  0,  5975,   14,  1,  8288,   15,  0,  8452,   15,  1, 42821,   // 15, 1 
+ 14,  1,  5684,   14,  2,  7812,   15,  1,  8141,   15,  2, 43899,   // 15, 2 
+ 14,  2,  5413,   14,  3,  7374,   15,  2,  7848,   15,  3, 44901,   // 15, 3 
+ 14,  3,  5172,   14,  4,  6986,   15,  3,  7587,   15,  4, 45791,   // 15, 4 
+ 14,  4,  4971,   14,  5,  6659,   15,  4,  7374,   15,  5, 46532,   // 15, 5 
+ 14,  5,  4818,   14,  6,  6405,   15,  5,  7227,   15,  6, 47086,   // 15, 6 
+ 14,  6,  4722,   14,  7,  6230,   15,  6,  7158,   15,  7, 47426,   // 15, 7 
+ 15,  7,  7161,   15,  8, 47440,   16,  7,  4718,   16,  8,  6217,   // 15, 8 
+ 15,  8,  7233,   15,  9, 47098,   16,  8,  4814,   16,  9,  6391,   // 15, 9 
+ 15,  9,  7383,   15, 10, 46541,   16,  9,  4967,   16, 10,  6645,   // 15,10 
+ 15, 10,  7599,   15, 11, 45799,   16, 10,  5169,   16, 11,  6969,   // 15,11 
+ 15, 11,  7863,   15, 12, 44907,   16, 11,  5410,   16, 12,  7356,   // 15,12 
+ 15, 12,  8159,   15, 13, 43904,   16, 12,  5682,   16, 13,  7791,   // 15,13 
+ 15, 13,  8474,   15, 14, 42823,   16, 13,  5974,   16, 14,  8265,   // 15,14 
+ 15, 14,  8795,   15, 15, 41693,   16, 14,  6280,   16, 15,  8768,   // 15,15 
+ // angle of -0.5 degrees
+ -1,  0,  5106,   -1,  1,  3621,    0,  0, 51699,    0,  1,  5110,   //  0, 0 
+ -1,  1,  4803,   -1,  2,  3421,    0,  1, 52457,    0,  2,  4855,   //  0, 1 
+ -1,  2,  4521,   -1,  3,  3235,    0,  2, 53168,    0,  3,  4612,   //  0, 2 
+ -1,  3,  4264,   -1,  4,  3064,    0,  3, 53815,    0,  4,  4393,   //  0, 3 
+ -1,  4,  4041,   -1,  5,  2916,    0,  4, 54378,    0,  5,  4201,   //  0, 4 
+ -1,  5,  3858,   -1,  6,  2796,    0,  5, 54835,    0,  6,  4047,   //  0, 5 
+ -1,  6,  3722,   -1,  7,  2709,    0,  6, 55166,    0,  7,  3939,   //  0, 6 
+ -1,  7,  3638,   -1,  8,  2659,    0,  7, 55354,    0,  8,  3885,   //  0, 7 
+  0,  8, 55352,    0,  9,  3885,    1,  8,  3640,    1,  9,  2659,   //  0, 8 
+  0,  9, 55164,    0, 10,  3939,    1,  9,  3724,    1, 10,  2709,   //  0, 9 
+  0, 10, 54833,    0, 11,  4046,    1, 10,  3860,    1, 11,  2797,   //  0,10 
+  0, 11, 54376,    0, 12,  4200,    1, 11,  4043,    1, 12,  2917,   //  0,11 
+  0, 12, 53814,    0, 13,  4390,    1, 12,  4267,    1, 13,  3065,   //  0,12 
+  0, 13, 53168,    0, 14,  4610,    1, 13,  4523,    1, 14,  3235,   //  0,13 
+  0, 14, 52457,    0, 15,  4851,    1, 14,  4806,    1, 15,  3422,   //  0,14 
+  0, 15, 51699,    0, 16,  5106,    1, 15,  5110,    1, 16,  3621,   //  0,15 
+  0,  0,  4851,    0,  1,  3422,    1,  0, 52457,    1,  1,  4806,   //  1, 0 
+  0,  1,  4522,    0,  2,  3204,    1,  1, 53285,    1,  2,  4525,   //  1, 1 
+  0,  2,  4212,    0,  3,  2998,    1,  2, 54072,    1,  3,  4254,   //  1, 2 
+  0,  3,  3927,    0,  4,  2808,    1,  3, 54796,    1,  4,  4005,   //  1, 3 
+  0,  4,  3677,    0,  5,  2640,    1,  4, 55435,    1,  5,  3784,   //  1, 4 
+  0,  5,  3470,    0,  6,  2502,    1,  5, 55959,    1,  6,  3605,   //  1, 5 
+  0,  6,  3317,    0,  7,  2402,    1,  6, 56340,    1,  7,  3477,   //  1, 6 
+  0,  7,  3225,    0,  8,  2346,    1,  7, 56554,    1,  8,  3411,   //  1, 7 
+  1,  8, 56552,    1,  9,  3411,    2,  8,  3227,    2,  9,  2346,   //  1, 8 
+  1,  9, 56339,    1, 10,  3476,    2,  9,  3319,    2, 10,  2402,   //  1, 9 
+  1, 10, 55958,    1, 11,  3604,    2, 10,  3472,    2, 11,  2502,   //  1,10 
+  1, 11, 55434,    1, 12,  3783,    2, 11,  3678,    2, 12,  2641,   //  1,11 
+  1, 12, 54796,    1, 13,  4003,    2, 12,  3929,    2, 13,  2808,   //  1,12 
+  1, 13, 54071,    1, 14,  4253,    2, 13,  4214,    2, 14,  2998,   //  1,13 
+  1, 14, 53285,    1, 15,  4522,    2, 14,  4525,    2, 15,  3204,   //  1,14 
+  1, 15, 52457,    1, 16,  4803,    2, 15,  4854,    2, 16,  3422,   //  1,15 
+  1,  0,  4610,    1,  1,  3235,    2,  0, 53168,    2,  1,  4523,   //  2, 0 
+  1,  1,  4253,    1,  2,  2998,    2,  1, 54071,    2,  2,  4214,   //  2, 1 
+  1,  2,  3911,    1,  3,  2770,    2,  2, 54941,    2,  3,  3914,   //  2, 2 
+  1,  3,  3594,    1,  4,  2556,    2,  3, 55756,    2,  4,  3630,   //  2, 3 
+  1,  4,  3310,    1,  5,  2365,    2,  4, 56487,    2,  5,  3374,   //  2, 4 
+  1,  5,  3073,    1,  6,  2205,    2,  5, 57096,    2,  6,  3162,   //  2, 5 
+  1,  6,  2897,    1,  7,  2088,    2,  6, 57545,    2,  7,  3006,   //  2, 6 
+  1,  7,  2794,    1,  8,  2022,    2,  7, 57795,    2,  8,  2925,   //  2, 7 
+  2,  8, 57793,    2,  9,  2926,    3,  8,  2795,    3,  9,  2022,   //  2, 8 
+  2,  9, 57544,    2, 10,  3007,    3,  9,  2898,    3, 10,  2087,   //  2, 9 
+  2, 10, 57095,    2, 11,  3161,    3, 10,  3074,    3, 11,  2206,   //  2,10 
+  2, 11, 56486,    2, 12,  3373,    3, 11,  3311,    3, 12,  2366,   //  2,11 
+  2, 12, 55756,    2, 13,  3628,    3, 12,  3595,    3, 13,  2557,   //  2,12 
+  2, 13, 54941,    2, 14,  3911,    3, 13,  3913,    3, 14,  2771,   //  2,13 
+  2, 14, 54072,    2, 15,  4212,    3, 14,  4255,    3, 15,  2997,   //  2,14 
+  2, 15, 53168,    2, 16,  4521,    3, 15,  4612,    3, 16,  3235,   //  2,15 
+  2,  0,  4390,    2,  1,  3065,    3,  0, 53814,    3,  1,  4267,   //  3, 0 
+  2,  1,  4003,    2,  2,  2808,    3,  1, 54796,    3,  2,  3929,   //  3, 1 
+  2,  2,  3628,    2,  3,  2557,    3,  2, 55756,    3,  3,  3595,   //  3, 2 
+  2,  3,  3273,    2,  4,  2317,    3,  3, 56673,    3,  4,  3273,   //  3, 3 
+  2,  4,  2948,    2,  5,  2096,    3,  4, 57514,    3,  5,  2978,   //  3, 4 
+  2,  5,  2672,    2,  6,  1908,    3,  5, 58234,    3,  6,  2722,   //  3, 5 
+  2,  6,  2463,    2,  7,  1766,    3,  6, 58775,    3,  7,  2532,   //  3, 6 
+  2,  7,  2342,    2,  8,  1687,    3,  7, 59077,    3,  8,  2430,   //  3, 7 
+  3,  8, 59076,    3,  9,  2430,    4,  8,  2343,    4,  9,  1687,   //  3, 8 
+  3,  9, 58774,    3, 10,  2532,    4,  9,  2464,    4, 10,  1766,   //  3, 9 
+  3, 10, 58233,    3, 11,  2722,    4, 10,  2673,    4, 11,  1908,   //  3,10 
+  3, 11, 57514,    3, 12,  2976,    4, 11,  2950,    4, 12,  2096,   //  3,11 
+  3, 12, 56673,    3, 13,  3273,    4, 12,  3274,    4, 13,  2316,   //  3,12 
+  3, 13, 55756,    3, 14,  3594,    4, 13,  3630,    4, 14,  2556,   //  3,13 
+  3, 14, 54796,    3, 15,  3927,    4, 14,  4005,    4, 15,  2808,   //  3,14 
+  3, 15, 53815,    3, 16,  4264,    4, 15,  4392,    4, 16,  3065,   //  3,15 
+  3,  0,  4200,    3,  1,  2917,    4,  0, 54376,    4,  1,  4043,   //  4, 0 
+  3,  1,  3783,    3,  2,  2640,    4,  1, 55434,    4,  2,  3679,   //  4, 1 
+  3,  2,  3373,    3,  3,  2365,    4,  2, 56486,    4,  3,  3312,   //  4, 2 
+  3,  3,  2976,    3,  4,  2096,    4,  3, 57514,    4,  4,  2950,   //  4, 3 
+  3,  4,  2604,    3,  5,  1843,    4,  4, 58484,    4,  5,  2605,   //  4, 4 
+  3,  5,  2276,    3,  6,  1617,    4,  5, 59346,    4,  6,  2297,   //  4, 5 
+  3,  6,  2020,    3,  7,  1442,    4,  6, 60018,    4,  7,  2056,   //  4, 6 
+  3,  7,  1871,    3,  8,  1341,    4,  7, 60402,    4,  8,  1922,   //  4, 7 
+  4,  8, 60402,    4,  9,  1922,    5,  8,  1871,    5,  9,  1341,   //  4, 8 
+  4,  9, 60017,    4, 10,  2057,    5,  9,  2020,    5, 10,  1442,   //  4, 9 
+  4, 10, 59345,    4, 11,  2297,    5, 10,  2276,    5, 11,  1618,   //  4,10 
+  4, 11, 58484,    4, 12,  2604,    5, 11,  2605,    5, 12,  1843,   //  4,11 
+  4, 12, 57514,    4, 13,  2948,    5, 12,  2977,    5, 13,  2097,   //  4,12 
+  4, 13, 56487,    4, 14,  3310,    5, 13,  3374,    5, 14,  2365,   //  4,13 
+  4, 14, 55435,    4, 15,  3677,    5, 14,  3785,    5, 15,  2639,   //  4,14 
+  4, 15, 54378,    4, 16,  4041,    5, 15,  4201,    5, 16,  2916,   //  4,15 
+  4,  0,  4046,    4,  1,  2797,    5,  0, 54833,    5,  1,  3860,   //  5, 0 
+  4,  1,  3604,    4,  2,  2503,    5,  1, 55958,    5,  2,  3471,   //  5, 1 
+  4,  2,  3161,    4,  3,  2205,    5,  2, 57095,    5,  3,  3075,   //  5, 2 
+  4,  3,  2722,    4,  4,  1908,    5,  3, 58233,    5,  4,  2673,   //  5, 3 
+  4,  4,  2297,    4,  5,  1617,    5,  4, 59345,    5,  5,  2277,   //  5, 4 
+  4,  5,  1904,    4,  6,  1347,    5,  5, 60381,    5,  6,  1904,   //  5, 5 
+  4,  6,  1578,    4,  7,  1121,    5,  6, 61243,    5,  7,  1594,   //  5, 6 
+  4,  7,  1380,    4,  8,   985,    5,  7, 61767,    5,  8,  1404,   //  5, 7 
+  5,  8, 61767,    5,  9,  1405,    6,  8,  1380,    6,  9,   984,   //  5, 8 
+  5,  9, 61243,    5, 10,  1593,    6,  9,  1579,    6, 10,  1121,   //  5, 9 
+  5, 10, 60381,    5, 11,  1904,    6, 10,  1904,    6, 11,  1347,   //  5,10 
+  5, 11, 59346,    5, 12,  2276,    6, 11,  2297,    6, 12,  1617,   //  5,11 
+  5, 12, 58234,    5, 13,  2672,    6, 12,  2723,    6, 13,  1907,   //  5,12 
+  5, 13, 57096,    5, 14,  3073,    6, 13,  3161,    6, 14,  2206,   //  5,13 
+  5, 14, 55959,    5, 15,  3470,    6, 14,  3605,    6, 15,  2502,   //  5,14 
+  5, 15, 54835,    5, 16,  3858,    6, 15,  4047,    6, 16,  2796,   //  5,15 
+  5,  0,  3939,    5,  1,  2709,    6,  0, 55164,    6,  1,  3724,   //  6, 0 
+  5,  1,  3476,    5,  2,  2403,    6,  1, 56339,    6,  2,  3318,   //  6, 1 
+  5,  2,  3007,    5,  3,  2088,    6,  2, 57544,    6,  3,  2897,   //  6, 2 
+  5,  3,  2532,    5,  4,  1767,    6,  3, 58774,    6,  4,  2463,   //  6, 3 
+  5,  4,  2057,    5,  5,  1442,    6,  4, 60017,    6,  5,  2020,   //  6, 4 
+  5,  5,  1593,    5,  6,  1121,    6,  5, 61243,    6,  6,  1579,   //  6, 5 
+  5,  6,  1170,    5,  7,   827,    6,  6, 62369,    6,  7,  1170,   //  6, 6 
+  5,  7,   875,    5,  8,   622,    6,  7, 63156,    6,  8,   883,   //  6, 7 
+  6,  8, 63156,    6,  9,   883,    7,  8,   875,    7,  9,   622,   //  6, 8 
+  6,  9, 62369,    6, 10,  1170,    7,  9,  1170,    7, 10,   827,   //  6, 9 
+  6, 10, 61243,    6, 11,  1578,    7, 10,  1593,    7, 11,  1122,   //  6,10 
+  6, 11, 60018,    6, 12,  2020,    7, 11,  2057,    7, 12,  1441,   //  6,11 
+  6, 12, 58775,    6, 13,  2463,    7, 12,  2532,    7, 13,  1766,   //  6,12 
+  6, 13, 57545,    6, 14,  2897,    7, 13,  3007,    7, 14,  2087,   //  6,13 
+  6, 14, 56340,    6, 15,  3317,    7, 14,  3477,    7, 15,  2402,   //  6,14 
+  6, 15, 55166,    6, 16,  3722,    7, 15,  3940,    7, 16,  2708,   //  6,15 
+  6,  0,  3885,    6,  1,  2659,    7,  0, 55352,    7,  1,  3640,   //  7, 0 
+  6,  1,  3411,    6,  2,  2346,    7,  1, 56552,    7,  2,  3227,   //  7, 1 
+  6,  2,  2926,    6,  3,  2022,    7,  2, 57793,    7,  3,  2795,   //  7, 2 
+  6,  3,  2430,    6,  4,  1687,    7,  3, 59076,    7,  4,  2343,   //  7, 3 
+  6,  4,  1922,    6,  5,  1341,    7,  4, 60402,    7,  5,  1871,   //  7, 4 
+  6,  5,  1405,    6,  6,   985,    7,  5, 61767,    7,  6,  1379,   //  7, 5 
+  6,  6,   883,    6,  7,   622,    7,  6, 63156,    7,  7,   875,   //  7, 6 
+  6,  7,   399,    6,  8,   282,    7,  7, 64455,    7,  8,   400,   //  7, 7 
+  7,  8, 64455,    7,  9,   399,    8,  8,   399,    8,  9,   283,   //  7, 8 
+  7,  9, 63156,    7, 10,   875,    8,  9,   883,    8, 10,   622,   //  7, 9 
+  7, 10, 61767,    7, 11,  1380,    8, 10,  1405,    8, 11,   984,   //  7,10 
+  7, 11, 60402,    7, 12,  1871,    8, 11,  1922,    8, 12,  1341,   //  7,11 
+  7, 12, 59077,    7, 13,  2342,    8, 12,  2430,    8, 13,  1687,   //  7,12 
+  7, 13, 57795,    7, 14,  2794,    8, 13,  2926,    8, 14,  2021,   //  7,13 
+  7, 14, 56554,    7, 15,  3225,    8, 14,  3411,    8, 15,  2346,   //  7,14 
+  7, 15, 55354,    7, 16,  3638,    8, 15,  3885,    8, 16,  2659,   //  7,15 
+  7, -1,  2659,    7,  0,  3885,    8, -1,  3638,    8,  0, 55354,   //  8, 0 
+  7,  0,  2346,    7,  1,  3411,    8,  0,  3225,    8,  1, 56554,   //  8, 1 
+  7,  1,  2022,    7,  2,  2926,    8,  1,  2794,    8,  2, 57794,   //  8, 2 
+  7,  2,  1687,    7,  3,  2430,    8,  2,  2342,    8,  3, 59077,   //  8, 3 
+  7,  3,  1341,    7,  4,  1922,    8,  3,  1871,    8,  4, 60402,   //  8, 4 
+  7,  4,   985,    7,  5,  1405,    8,  4,  1380,    8,  5, 61766,   //  8, 5 
+  7,  5,   622,    7,  6,   883,    8,  5,   875,    8,  6, 63156,   //  8, 6 
+  7,  6,   282,    7,  7,   399,    8,  6,   399,    8,  7, 64456,   //  8, 7 
+  8,  7,   399,    8,  8, 64455,    9,  7,   282,    9,  8,   400,   //  8, 8 
+  8,  8,   875,    8,  9, 63156,    9,  8,   622,    9,  9,   883,   //  8, 9 
+  8,  9,  1380,    8, 10, 61767,    9,  9,   985,    9, 10,  1404,   //  8,10 
+  8, 10,  1871,    8, 11, 60402,    9, 10,  1341,    9, 11,  1922,   //  8,11 
+  8, 11,  2343,    8, 12, 59076,    9, 11,  1687,    9, 12,  2430,   //  8,12 
+  8, 12,  2795,    8, 13, 57793,    9, 12,  2022,    9, 13,  2926,   //  8,13 
+  8, 13,  3227,    8, 14, 56552,    9, 13,  2346,    9, 14,  3411,   //  8,14 
+  8, 14,  3640,    8, 15, 55352,    9, 14,  2659,    9, 15,  3885,   //  8,15 
+  8, -1,  2709,    8,  0,  3940,    9, -1,  3722,    9,  0, 55165,   //  9, 0 
+  8,  0,  2402,    8,  1,  3477,    9,  0,  3317,    9,  1, 56340,   //  9, 1 
+  8,  1,  2088,    8,  2,  3007,    9,  1,  2897,    9,  2, 57544,   //  9, 2 
+  8,  2,  1766,    8,  3,  2532,    9,  2,  2463,    9,  3, 58775,   //  9, 3 
+  8,  3,  1442,    8,  4,  2057,    9,  3,  2020,    9,  4, 60017,   //  9, 4 
+  8,  4,  1121,    8,  5,  1593,    9,  4,  1578,    9,  5, 61244,   //  9, 5 
+  8,  5,   827,    8,  6,  1170,    9,  5,  1170,    9,  6, 62369,   //  9, 6 
+  8,  6,   622,    8,  7,   875,    9,  6,   883,    9,  7, 63156,   //  9, 7 
+  9,  7,   883,    9,  8, 63156,   10,  7,   622,   10,  8,   875,   //  9, 8 
+  9,  8,  1170,    9,  9, 62369,   10,  8,   827,   10,  9,  1170,   //  9, 9 
+  9,  9,  1579,    9, 10, 61243,   10,  9,  1121,   10, 10,  1593,   //  9,10 
+  9, 10,  2020,    9, 11, 60017,   10, 10,  1442,   10, 11,  2057,   //  9,11 
+  9, 11,  2464,    9, 12, 58774,   10, 11,  1767,   10, 12,  2531,   //  9,12 
+  9, 12,  2898,    9, 13, 57544,   10, 12,  2088,   10, 13,  3006,   //  9,13 
+  9, 13,  3319,    9, 14, 56339,   10, 13,  2403,   10, 14,  3475,   //  9,14 
+  9, 14,  3724,    9, 15, 55164,   10, 14,  2709,   10, 15,  3939,   //  9,15 
+  9, -1,  2796,    9,  0,  4047,   10, -1,  3858,   10,  0, 54835,   // 10, 0 
+  9,  0,  2502,    9,  1,  3605,   10,  0,  3470,   10,  1, 55959,   // 10, 1 
+  9,  1,  2205,    9,  2,  3161,   10,  1,  3073,   10,  2, 57097,   // 10, 2 
+  9,  2,  1908,    9,  3,  2723,   10,  2,  2672,   10,  3, 58233,   // 10, 3 
+  9,  3,  1617,    9,  4,  2297,   10,  3,  2276,   10,  4, 59346,   // 10, 4 
+  9,  4,  1347,    9,  5,  1904,   10,  4,  1904,   10,  5, 60381,   // 10, 5 
+  9,  5,  1121,    9,  6,  1579,   10,  5,  1593,   10,  6, 61243,   // 10, 6 
+  9,  6,   985,    9,  7,  1380,   10,  6,  1405,   10,  7, 61766,   // 10, 7 
+ 10,  7,  1405,   10,  8, 61767,   11,  7,   985,   11,  8,  1379,   // 10, 8 
+ 10,  8,  1593,   10,  9, 61243,   11,  8,  1121,   11,  9,  1579,   // 10, 9 
+ 10,  9,  1904,   10, 10, 60381,   11,  9,  1347,   11, 10,  1904,   // 10,10 
+ 10, 10,  2276,   10, 11, 59345,   11, 10,  1617,   11, 11,  2298,   // 10,11 
+ 10, 11,  2673,   10, 12, 58233,   11, 11,  1908,   11, 12,  2722,   // 10,12 
+ 10, 12,  3074,   10, 13, 57095,   11, 12,  2205,   11, 13,  3162,   // 10,13 
+ 10, 13,  3472,   10, 14, 55958,   11, 13,  2503,   11, 14,  3603,   // 10,14 
+ 10, 14,  3860,   10, 15, 54833,   11, 14,  2797,   11, 15,  4046,   // 10,15 
+ 10, -1,  2916,   10,  0,  4201,   11, -1,  4041,   11,  0, 54378,   // 11, 0 
+ 10,  0,  2640,   10,  1,  3785,   11,  0,  3677,   11,  1, 55434,   // 11, 1 
+ 10,  1,  2365,   10,  2,  3374,   11,  1,  3310,   11,  2, 56487,   // 11, 2 
+ 10,  2,  2096,   10,  3,  2977,   11,  2,  2948,   11,  3, 57515,   // 11, 3 
+ 10,  3,  1843,   10,  4,  2605,   11,  3,  2604,   11,  4, 58484,   // 11, 4 
+ 10,  4,  1617,   10,  5,  2276,   11,  4,  2297,   11,  5, 59346,   // 11, 5 
+ 10,  5,  1442,   10,  6,  2020,   11,  5,  2057,   11,  6, 60017,   // 11, 6 
+ 10,  6,  1341,   10,  7,  1871,   11,  6,  1922,   11,  7, 60402,   // 11, 7 
+ 11,  7,  1922,   11,  8, 60402,   12,  7,  1341,   12,  8,  1871,   // 11, 8 
+ 11,  8,  2057,   11,  9, 60018,   12,  8,  1442,   12,  9,  2019,   // 11, 9 
+ 11,  9,  2297,   11, 10, 59346,   12,  9,  1617,   12, 10,  2276,   // 11,10 
+ 11, 10,  2605,   11, 11, 58484,   12, 10,  1843,   12, 11,  2604,   // 11,11 
+ 11, 11,  2950,   11, 12, 57514,   12, 11,  2096,   12, 12,  2976,   // 11,12 
+ 11, 12,  3311,   11, 13, 56486,   12, 12,  2365,   12, 13,  3374,   // 11,13 
+ 11, 13,  3678,   11, 14, 55434,   12, 13,  2640,   12, 14,  3784,   // 11,14 
+ 11, 14,  4043,   11, 15, 54376,   12, 14,  2917,   12, 15,  4200,   // 11,15 
+ 11, -1,  3064,   11,  0,  4392,   12, -1,  4264,   12,  0, 53816,   // 12, 0 
+ 11,  0,  2808,   11,  1,  4005,   12,  0,  3927,   12,  1, 54796,   // 12, 1 
+ 11,  1,  2556,   11,  2,  3630,   12,  1,  3594,   12,  2, 55756,   // 12, 2 
+ 11,  2,  2317,   11,  3,  3274,   12,  2,  3273,   12,  3, 56672,   // 12, 3 
+ 11,  3,  2096,   11,  4,  2950,   12,  3,  2976,   12,  4, 57514,   // 12, 4 
+ 11,  4,  1908,   11,  5,  2673,   12,  4,  2722,   12,  5, 58233,   // 12, 5 
+ 11,  5,  1767,   11,  6,  2464,   12,  5,  2532,   12,  6, 58773,   // 12, 6 
+ 11,  6,  1687,   11,  7,  2343,   12,  6,  2430,   12,  7, 59076,   // 12, 7 
+ 12,  7,  2430,   12,  8, 59077,   13,  7,  1687,   13,  8,  2342,   // 12, 8 
+ 12,  8,  2532,   12,  9, 58775,   13,  8,  1766,   13,  9,  2463,   // 12, 9 
+ 12,  9,  2723,   12, 10, 58234,   13,  9,  1908,   13, 10,  2671,   // 12,10 
+ 12, 10,  2977,   12, 11, 57514,   13, 10,  2096,   13, 11,  2949,   // 12,11 
+ 12, 11,  3274,   12, 12, 56673,   13, 11,  2317,   13, 12,  3272,   // 12,12 
+ 12, 12,  3595,   12, 13, 55756,   13, 12,  2557,   13, 13,  3628,   // 12,13 
+ 12, 13,  3929,   12, 14, 54796,   13, 13,  2808,   13, 14,  4003,   // 12,14 
+ 12, 14,  4267,   12, 15, 53814,   13, 14,  3065,   13, 15,  4390,   // 12,15 
+ 12, -1,  3235,   12,  0,  4612,   13, -1,  4521,   13,  0, 53168,   // 13, 0 
+ 12,  0,  2998,   12,  1,  4255,   13,  0,  4212,   13,  1, 54071,   // 13, 1 
+ 12,  1,  2770,   12,  2,  3913,   13,  1,  3911,   13,  2, 54942,   // 13, 2 
+ 12,  2,  2557,   12,  3,  3595,   13,  2,  3628,   13,  3, 55756,   // 13, 3 
+ 12,  3,  2365,   12,  4,  3311,   13,  3,  3373,   13,  4, 56487,   // 13, 4 
+ 12,  4,  2205,   12,  5,  3074,   13,  4,  3161,   13,  5, 57096,   // 13, 5 
+ 12,  5,  2088,   12,  6,  2898,   13,  5,  3007,   13,  6, 57543,   // 13, 6 
+ 12,  6,  2022,   12,  7,  2795,   13,  6,  2926,   13,  7, 57793,   // 13, 7 
+ 13,  7,  2926,   13,  8, 57795,   14,  7,  2022,   14,  8,  2793,   // 13, 8 
+ 13,  8,  3007,   13,  9, 57545,   14,  8,  2088,   14,  9,  2896,   // 13, 9 
+ 13,  9,  3161,   13, 10, 57096,   14,  9,  2205,   14, 10,  3074,   // 13,10 
+ 13, 10,  3374,   13, 11, 56487,   14, 10,  2365,   14, 11,  3310,   // 13,11 
+ 13, 11,  3630,   13, 12, 55756,   14, 11,  2556,   14, 12,  3594,   // 13,12 
+ 13, 12,  3913,   13, 13, 54941,   14, 12,  2770,   14, 13,  3912,   // 13,13 
+ 13, 13,  4214,   13, 14, 54071,   14, 13,  2998,   14, 14,  4253,   // 13,14 
+ 13, 14,  4523,   13, 15, 53168,   14, 14,  3235,   14, 15,  4610,   // 13,15 
+ 13, -1,  3421,   13,  0,  4854,   14, -1,  4803,   14,  0, 52458,   // 14, 0 
+ 13,  0,  3204,   13,  1,  4525,   14,  0,  4522,   14,  1, 53285,   // 14, 1 
+ 13,  1,  2998,   13,  2,  4214,   14,  1,  4253,   14,  2, 54071,   // 14, 2 
+ 13,  2,  2808,   13,  3,  3929,   14,  2,  4003,   14,  3, 54796,   // 14, 3 
+ 13,  3,  2640,   13,  4,  3678,   14,  3,  3783,   14,  4, 55435,   // 14, 4 
+ 13,  4,  2503,   13,  5,  3472,   14,  4,  3604,   14,  5, 55957,   // 14, 5 
+ 13,  5,  2403,   13,  6,  3319,   14,  5,  3476,   14,  6, 56338,   // 14, 6 
+ 13,  6,  2346,   13,  7,  3227,   14,  6,  3411,   14,  7, 56552,   // 14, 7 
+ 14,  7,  3411,   14,  8, 56554,   15,  7,  2346,   15,  8,  3225,   // 14, 8 
+ 14,  8,  3477,   14,  9, 56340,   15,  8,  2402,   15,  9,  3317,   // 14, 9 
+ 14,  9,  3605,   14, 10, 55959,   15,  9,  2502,   15, 10,  3470,   // 14,10 
+ 14, 10,  3785,   14, 11, 55435,   15, 10,  2640,   15, 11,  3676,   // 14,11 
+ 14, 11,  4005,   14, 12, 54796,   15, 11,  2808,   15, 12,  3927,   // 14,12 
+ 14, 12,  4255,   14, 13, 54072,   15, 12,  2998,   15, 13,  4211,   // 14,13 
+ 14, 13,  4525,   14, 14, 53285,   15, 13,  3204,   15, 14,  4522,   // 14,14 
+ 14, 14,  4806,   14, 15, 52457,   15, 14,  3422,   15, 15,  4851,   // 14,15 
+ 14, -1,  3621,   14,  0,  5110,   15, -1,  5106,   15,  0, 51699,   // 15, 0 
+ 14,  0,  3422,   14,  1,  4806,   15,  0,  4851,   15,  1, 52457,   // 15, 1 
+ 14,  1,  3235,   14,  2,  4523,   15,  1,  4610,   15,  2, 53168,   // 15, 2 
+ 14,  2,  3065,   14,  3,  4267,   15,  2,  4390,   15,  3, 53814,   // 15, 3 
+ 14,  3,  2917,   14,  4,  4043,   15,  3,  4200,   15,  4, 54376,   // 15, 4 
+ 14,  4,  2797,   14,  5,  3860,   15,  4,  4046,   15,  5, 54833,   // 15, 5 
+ 14,  5,  2709,   14,  6,  3724,   15,  5,  3939,   15,  6, 55164,   // 15, 6 
+ 14,  6,  2659,   14,  7,  3640,   15,  6,  3885,   15,  7, 55352,   // 15, 7 
+ 15,  7,  3885,   15,  8, 55354,   16,  7,  2659,   16,  8,  3638,   // 15, 8 
+ 15,  8,  3940,   15,  9, 55166,   16,  8,  2709,   16,  9,  3721,   // 15, 9 
+ 15,  9,  4047,   15, 10, 54835,   16,  9,  2796,   16, 10,  3858,   // 15,10 
+ 15, 10,  4201,   15, 11, 54378,   16, 10,  2916,   16, 11,  4041,   // 15,11 
+ 15, 11,  4392,   15, 12, 53815,   16, 11,  3064,   16, 12,  4265,   // 15,12 
+ 15, 12,  4612,   15, 13, 53168,   16, 12,  3235,   16, 13,  4521,   // 15,13 
+ 15, 13,  4854,   15, 14, 52457,   16, 13,  3421,   16, 14,  4804,   // 15,14 
+ 15, 14,  5110,   15, 15, 51699,   16, 14,  3621,   16, 15,  5106,   // 15,15 
+ // angle of 0.0 degrees
+  0,  0, 16384,    0,  0, 16384,    0,  0, 16384,    0,  0, 16384,   //  0, 0 
+  0,  1, 16384,    0,  1, 16384,    0,  1, 16384,    0,  1, 16384,   //  0, 1 
+  0,  2, 16384,    0,  2, 16384,    0,  2, 16384,    0,  2, 16384,   //  0, 2 
+  0,  3, 16384,    0,  3, 16384,    0,  3, 16384,    0,  3, 16384,   //  0, 3 
+  0,  4, 16384,    0,  4, 16384,    0,  4, 16384,    0,  4, 16384,   //  0, 4 
+  0,  5, 16384,    0,  5, 16384,    0,  5, 16384,    0,  5, 16384,   //  0, 5 
+  0,  6, 16384,    0,  6, 16384,    0,  6, 16384,    0,  6, 16384,   //  0, 6 
+  0,  7, 16384,    0,  7, 16384,    0,  7, 16384,    0,  7, 16384,   //  0, 7 
+  0,  8, 16384,    0,  8, 16384,    0,  8, 16384,    0,  8, 16384,   //  0, 8 
+  0,  9, 16384,    0,  9, 16384,    0,  9, 16384,    0,  9, 16384,   //  0, 9 
+  0, 10, 16384,    0, 10, 16384,    0, 10, 16384,    0, 10, 16384,   //  0,10 
+  0, 11, 16384,    0, 11, 16384,    0, 11, 16384,    0, 11, 16384,   //  0,11 
+  0, 12, 16384,    0, 12, 16384,    0, 12, 16384,    0, 12, 16384,   //  0,12 
+  0, 13, 16384,    0, 13, 16384,    0, 13, 16384,    0, 13, 16384,   //  0,13 
+  0, 14, 16384,    0, 14, 16384,    0, 14, 16384,    0, 14, 16384,   //  0,14 
+  0, 15, 16384,    0, 15, 16384,    0, 15, 16384,    0, 15, 16384,   //  0,15 
+  1,  0, 16384,    1,  0, 16384,    1,  0, 16384,    1,  0, 16384,   //  1, 0 
+  1,  1, 16384,    1,  1, 16384,    1,  1, 16384,    1,  1, 16384,   //  1, 1 
+  1,  2, 16384,    1,  2, 16384,    1,  2, 16384,    1,  2, 16384,   //  1, 2 
+  1,  3, 16384,    1,  3, 16384,    1,  3, 16384,    1,  3, 16384,   //  1, 3 
+  1,  4, 16384,    1,  4, 16384,    1,  4, 16384,    1,  4, 16384,   //  1, 4 
+  1,  5, 16384,    1,  5, 16384,    1,  5, 16384,    1,  5, 16384,   //  1, 5 
+  1,  6, 16384,    1,  6, 16384,    1,  6, 16384,    1,  6, 16384,   //  1, 6 
+  1,  7, 16384,    1,  7, 16384,    1,  7, 16384,    1,  7, 16384,   //  1, 7 
+  1,  8, 16384,    1,  8, 16384,    1,  8, 16384,    1,  8, 16384,   //  1, 8 
+  1,  9, 16384,    1,  9, 16384,    1,  9, 16384,    1,  9, 16384,   //  1, 9 
+  1, 10, 16384,    1, 10, 16384,    1, 10, 16384,    1, 10, 16384,   //  1,10 
+  1, 11, 16384,    1, 11, 16384,    1, 11, 16384,    1, 11, 16384,   //  1,11 
+  1, 12, 16384,    1, 12, 16384,    1, 12, 16384,    1, 12, 16384,   //  1,12 
+  1, 13, 16384,    1, 13, 16384,    1, 13, 16384,    1, 13, 16384,   //  1,13 
+  1, 14, 16384,    1, 14, 16384,    1, 14, 16384,    1, 14, 16384,   //  1,14 
+  1, 15, 16384,    1, 15, 16384,    1, 15, 16384,    1, 15, 16384,   //  1,15 
+  2,  0, 16384,    2,  0, 16384,    2,  0, 16384,    2,  0, 16384,   //  2, 0 
+  2,  1, 16384,    2,  1, 16384,    2,  1, 16384,    2,  1, 16384,   //  2, 1 
+  2,  2, 16384,    2,  2, 16384,    2,  2, 16384,    2,  2, 16384,   //  2, 2 
+  2,  3, 16384,    2,  3, 16384,    2,  3, 16384,    2,  3, 16384,   //  2, 3 
+  2,  4, 16384,    2,  4, 16384,    2,  4, 16384,    2,  4, 16384,   //  2, 4 
+  2,  5, 16384,    2,  5, 16384,    2,  5, 16384,    2,  5, 16384,   //  2, 5 
+  2,  6, 16384,    2,  6, 16384,    2,  6, 16384,    2,  6, 16384,   //  2, 6 
+  2,  7, 16384,    2,  7, 16384,    2,  7, 16384,    2,  7, 16384,   //  2, 7 
+  2,  8, 16384,    2,  8, 16384,    2,  8, 16384,    2,  8, 16384,   //  2, 8 
+  2,  9, 16384,    2,  9, 16384,    2,  9, 16384,    2,  9, 16384,   //  2, 9 
+  2, 10, 16384,    2, 10, 16384,    2, 10, 16384,    2, 10, 16384,   //  2,10 
+  2, 11, 16384,    2, 11, 16384,    2, 11, 16384,    2, 11, 16384,   //  2,11 
+  2, 12, 16384,    2, 12, 16384,    2, 12, 16384,    2, 12, 16384,   //  2,12 
+  2, 13, 16384,    2, 13, 16384,    2, 13, 16384,    2, 13, 16384,   //  2,13 
+  2, 14, 16384,    2, 14, 16384,    2, 14, 16384,    2, 14, 16384,   //  2,14 
+  2, 15, 16384,    2, 15, 16384,    2, 15, 16384,    2, 15, 16384,   //  2,15 
+  3,  0, 16384,    3,  0, 16384,    3,  0, 16384,    3,  0, 16384,   //  3, 0 
+  3,  1, 16384,    3,  1, 16384,    3,  1, 16384,    3,  1, 16384,   //  3, 1 
+  3,  2, 16384,    3,  2, 16384,    3,  2, 16384,    3,  2, 16384,   //  3, 2 
+  3,  3, 16384,    3,  3, 16384,    3,  3, 16384,    3,  3, 16384,   //  3, 3 
+  3,  4, 16384,    3,  4, 16384,    3,  4, 16384,    3,  4, 16384,   //  3, 4 
+  3,  5, 16384,    3,  5, 16384,    3,  5, 16384,    3,  5, 16384,   //  3, 5 
+  3,  6, 16384,    3,  6, 16384,    3,  6, 16384,    3,  6, 16384,   //  3, 6 
+  3,  7, 16384,    3,  7, 16384,    3,  7, 16384,    3,  7, 16384,   //  3, 7 
+  3,  8, 16384,    3,  8, 16384,    3,  8, 16384,    3,  8, 16384,   //  3, 8 
+  3,  9, 16384,    3,  9, 16384,    3,  9, 16384,    3,  9, 16384,   //  3, 9 
+  3, 10, 16384,    3, 10, 16384,    3, 10, 16384,    3, 10, 16384,   //  3,10 
+  3, 11, 16384,    3, 11, 16384,    3, 11, 16384,    3, 11, 16384,   //  3,11 
+  3, 12, 16384,    3, 12, 16384,    3, 12, 16384,    3, 12, 16384,   //  3,12 
+  3, 13, 16384,    3, 13, 16384,    3, 13, 16384,    3, 13, 16384,   //  3,13 
+  3, 14, 16384,    3, 14, 16384,    3, 14, 16384,    3, 14, 16384,   //  3,14 
+  3, 15, 16384,    3, 15, 16384,    3, 15, 16384,    3, 15, 16384,   //  3,15 
+  4,  0, 16384,    4,  0, 16384,    4,  0, 16384,    4,  0, 16384,   //  4, 0 
+  4,  1, 16384,    4,  1, 16384,    4,  1, 16384,    4,  1, 16384,   //  4, 1 
+  4,  2, 16384,    4,  2, 16384,    4,  2, 16384,    4,  2, 16384,   //  4, 2 
+  4,  3, 16384,    4,  3, 16384,    4,  3, 16384,    4,  3, 16384,   //  4, 3 
+  4,  4, 16384,    4,  4, 16384,    4,  4, 16384,    4,  4, 16384,   //  4, 4 
+  4,  5, 16384,    4,  5, 16384,    4,  5, 16384,    4,  5, 16384,   //  4, 5 
+  4,  6, 16384,    4,  6, 16384,    4,  6, 16384,    4,  6, 16384,   //  4, 6 
+  4,  7, 16384,    4,  7, 16384,    4,  7, 16384,    4,  7, 16384,   //  4, 7 
+  4,  8, 16384,    4,  8, 16384,    4,  8, 16384,    4,  8, 16384,   //  4, 8 
+  4,  9, 16384,    4,  9, 16384,    4,  9, 16384,    4,  9, 16384,   //  4, 9 
+  4, 10, 16384,    4, 10, 16384,    4, 10, 16384,    4, 10, 16384,   //  4,10 
+  4, 11, 16384,    4, 11, 16384,    4, 11, 16384,    4, 11, 16384,   //  4,11 
+  4, 12, 16384,    4, 12, 16384,    4, 12, 16384,    4, 12, 16384,   //  4,12 
+  4, 13, 16384,    4, 13, 16384,    4, 13, 16384,    4, 13, 16384,   //  4,13 
+  4, 14, 16384,    4, 14, 16384,    4, 14, 16384,    4, 14, 16384,   //  4,14 
+  4, 15, 16384,    4, 15, 16384,    4, 15, 16384,    4, 15, 16384,   //  4,15 
+  5,  0, 16384,    5,  0, 16384,    5,  0, 16384,    5,  0, 16384,   //  5, 0 
+  5,  1, 16384,    5,  1, 16384,    5,  1, 16384,    5,  1, 16384,   //  5, 1 
+  5,  2, 16384,    5,  2, 16384,    5,  2, 16384,    5,  2, 16384,   //  5, 2 
+  5,  3, 16384,    5,  3, 16384,    5,  3, 16384,    5,  3, 16384,   //  5, 3 
+  5,  4, 16384,    5,  4, 16384,    5,  4, 16384,    5,  4, 16384,   //  5, 4 
+  5,  5, 16384,    5,  5, 16384,    5,  5, 16384,    5,  5, 16384,   //  5, 5 
+  5,  6, 16384,    5,  6, 16384,    5,  6, 16384,    5,  6, 16384,   //  5, 6 
+  5,  7, 16384,    5,  7, 16384,    5,  7, 16384,    5,  7, 16384,   //  5, 7 
+  5,  8, 16384,    5,  8, 16384,    5,  8, 16384,    5,  8, 16384,   //  5, 8 
+  5,  9, 16384,    5,  9, 16384,    5,  9, 16384,    5,  9, 16384,   //  5, 9 
+  5, 10, 16384,    5, 10, 16384,    5, 10, 16384,    5, 10, 16384,   //  5,10 
+  5, 11, 16384,    5, 11, 16384,    5, 11, 16384,    5, 11, 16384,   //  5,11 
+  5, 12, 16384,    5, 12, 16384,    5, 12, 16384,    5, 12, 16384,   //  5,12 
+  5, 13, 16384,    5, 13, 16384,    5, 13, 16384,    5, 13, 16384,   //  5,13 
+  5, 14, 16384,    5, 14, 16384,    5, 14, 16384,    5, 14, 16384,   //  5,14 
+  5, 15, 16384,    5, 15, 16384,    5, 15, 16384,    5, 15, 16384,   //  5,15 
+  6,  0, 16384,    6,  0, 16384,    6,  0, 16384,    6,  0, 16384,   //  6, 0 
+  6,  1, 16384,    6,  1, 16384,    6,  1, 16384,    6,  1, 16384,   //  6, 1 
+  6,  2, 16384,    6,  2, 16384,    6,  2, 16384,    6,  2, 16384,   //  6, 2 
+  6,  3, 16384,    6,  3, 16384,    6,  3, 16384,    6,  3, 16384,   //  6, 3 
+  6,  4, 16384,    6,  4, 16384,    6,  4, 16384,    6,  4, 16384,   //  6, 4 
+  6,  5, 16384,    6,  5, 16384,    6,  5, 16384,    6,  5, 16384,   //  6, 5 
+  6,  6, 16384,    6,  6, 16384,    6,  6, 16384,    6,  6, 16384,   //  6, 6 
+  6,  7, 16384,    6,  7, 16384,    6,  7, 16384,    6,  7, 16384,   //  6, 7 
+  6,  8, 16384,    6,  8, 16384,    6,  8, 16384,    6,  8, 16384,   //  6, 8 
+  6,  9, 16384,    6,  9, 16384,    6,  9, 16384,    6,  9, 16384,   //  6, 9 
+  6, 10, 16384,    6, 10, 16384,    6, 10, 16384,    6, 10, 16384,   //  6,10 
+  6, 11, 16384,    6, 11, 16384,    6, 11, 16384,    6, 11, 16384,   //  6,11 
+  6, 12, 16384,    6, 12, 16384,    6, 12, 16384,    6, 12, 16384,   //  6,12 
+  6, 13, 16384,    6, 13, 16384,    6, 13, 16384,    6, 13, 16384,   //  6,13 
+  6, 14, 16384,    6, 14, 16384,    6, 14, 16384,    6, 14, 16384,   //  6,14 
+  6, 15, 16384,    6, 15, 16384,    6, 15, 16384,    6, 15, 16384,   //  6,15 
+  7,  0, 16384,    7,  0, 16384,    7,  0, 16384,    7,  0, 16384,   //  7, 0 
+  7,  1, 16384,    7,  1, 16384,    7,  1, 16384,    7,  1, 16384,   //  7, 1 
+  7,  2, 16384,    7,  2, 16384,    7,  2, 16384,    7,  2, 16384,   //  7, 2 
+  7,  3, 16384,    7,  3, 16384,    7,  3, 16384,    7,  3, 16384,   //  7, 3 
+  7,  4, 16384,    7,  4, 16384,    7,  4, 16384,    7,  4, 16384,   //  7, 4 
+  7,  5, 16384,    7,  5, 16384,    7,  5, 16384,    7,  5, 16384,   //  7, 5 
+  7,  6, 16384,    7,  6, 16384,    7,  6, 16384,    7,  6, 16384,   //  7, 6 
+  7,  7, 16384,    7,  7, 16384,    7,  7, 16384,    7,  7, 16384,   //  7, 7 
+  7,  8, 16384,    7,  8, 16384,    7,  8, 16384,    7,  8, 16384,   //  7, 8 
+  7,  9, 16384,    7,  9, 16384,    7,  9, 16384,    7,  9, 16384,   //  7, 9 
+  7, 10, 16384,    7, 10, 16384,    7, 10, 16384,    7, 10, 16384,   //  7,10 
+  7, 11, 16384,    7, 11, 16384,    7, 11, 16384,    7, 11, 16384,   //  7,11 
+  7, 12, 16384,    7, 12, 16384,    7, 12, 16384,    7, 12, 16384,   //  7,12 
+  7, 13, 16384,    7, 13, 16384,    7, 13, 16384,    7, 13, 16384,   //  7,13 
+  7, 14, 16384,    7, 14, 16384,    7, 14, 16384,    7, 14, 16384,   //  7,14 
+  7, 15, 16384,    7, 15, 16384,    7, 15, 16384,    7, 15, 16384,   //  7,15 
+  8,  0, 16384,    8,  0, 16384,    8,  0, 16384,    8,  0, 16384,   //  8, 0 
+  8,  1, 16384,    8,  1, 16384,    8,  1, 16384,    8,  1, 16384,   //  8, 1 
+  8,  2, 16384,    8,  2, 16384,    8,  2, 16384,    8,  2, 16384,   //  8, 2 
+  8,  3, 16384,    8,  3, 16384,    8,  3, 16384,    8,  3, 16384,   //  8, 3 
+  8,  4, 16384,    8,  4, 16384,    8,  4, 16384,    8,  4, 16384,   //  8, 4 
+  8,  5, 16384,    8,  5, 16384,    8,  5, 16384,    8,  5, 16384,   //  8, 5 
+  8,  6, 16384,    8,  6, 16384,    8,  6, 16384,    8,  6, 16384,   //  8, 6 
+  8,  7, 16384,    8,  7, 16384,    8,  7, 16384,    8,  7, 16384,   //  8, 7 
+  8,  8, 16384,    8,  8, 16384,    8,  8, 16384,    8,  8, 16384,   //  8, 8 
+  8,  9, 16384,    8,  9, 16384,    8,  9, 16384,    8,  9, 16384,   //  8, 9 
+  8, 10, 16384,    8, 10, 16384,    8, 10, 16384,    8, 10, 16384,   //  8,10 
+  8, 11, 16384,    8, 11, 16384,    8, 11, 16384,    8, 11, 16384,   //  8,11 
+  8, 12, 16384,    8, 12, 16384,    8, 12, 16384,    8, 12, 16384,   //  8,12 
+  8, 13, 16384,    8, 13, 16384,    8, 13, 16384,    8, 13, 16384,   //  8,13 
+  8, 14, 16384,    8, 14, 16384,    8, 14, 16384,    8, 14, 16384,   //  8,14 
+  8, 15, 16384,    8, 15, 16384,    8, 15, 16384,    8, 15, 16384,   //  8,15 
+  9,  0, 16384,    9,  0, 16384,    9,  0, 16384,    9,  0, 16384,   //  9, 0 
+  9,  1, 16384,    9,  1, 16384,    9,  1, 16384,    9,  1, 16384,   //  9, 1 
+  9,  2, 16384,    9,  2, 16384,    9,  2, 16384,    9,  2, 16384,   //  9, 2 
+  9,  3, 16384,    9,  3, 16384,    9,  3, 16384,    9,  3, 16384,   //  9, 3 
+  9,  4, 16384,    9,  4, 16384,    9,  4, 16384,    9,  4, 16384,   //  9, 4 
+  9,  5, 16384,    9,  5, 16384,    9,  5, 16384,    9,  5, 16384,   //  9, 5 
+  9,  6, 16384,    9,  6, 16384,    9,  6, 16384,    9,  6, 16384,   //  9, 6 
+  9,  7, 16384,    9,  7, 16384,    9,  7, 16384,    9,  7, 16384,   //  9, 7 
+  9,  8, 16384,    9,  8, 16384,    9,  8, 16384,    9,  8, 16384,   //  9, 8 
+  9,  9, 16384,    9,  9, 16384,    9,  9, 16384,    9,  9, 16384,   //  9, 9 
+  9, 10, 16384,    9, 10, 16384,    9, 10, 16384,    9, 10, 16384,   //  9,10 
+  9, 11, 16384,    9, 11, 16384,    9, 11, 16384,    9, 11, 16384,   //  9,11 
+  9, 12, 16384,    9, 12, 16384,    9, 12, 16384,    9, 12, 16384,   //  9,12 
+  9, 13, 16384,    9, 13, 16384,    9, 13, 16384,    9, 13, 16384,   //  9,13 
+  9, 14, 16384,    9, 14, 16384,    9, 14, 16384,    9, 14, 16384,   //  9,14 
+  9, 15, 16384,    9, 15, 16384,    9, 15, 16384,    9, 15, 16384,   //  9,15 
+ 10,  0, 16384,   10,  0, 16384,   10,  0, 16384,   10,  0, 16384,   // 10, 0 
+ 10,  1, 16384,   10,  1, 16384,   10,  1, 16384,   10,  1, 16384,   // 10, 1 
+ 10,  2, 16384,   10,  2, 16384,   10,  2, 16384,   10,  2, 16384,   // 10, 2 
+ 10,  3, 16384,   10,  3, 16384,   10,  3, 16384,   10,  3, 16384,   // 10, 3 
+ 10,  4, 16384,   10,  4, 16384,   10,  4, 16384,   10,  4, 16384,   // 10, 4 
+ 10,  5, 16384,   10,  5, 16384,   10,  5, 16384,   10,  5, 16384,   // 10, 5 
+ 10,  6, 16384,   10,  6, 16384,   10,  6, 16384,   10,  6, 16384,   // 10, 6 
+ 10,  7, 16384,   10,  7, 16384,   10,  7, 16384,   10,  7, 16384,   // 10, 7 
+ 10,  8, 16384,   10,  8, 16384,   10,  8, 16384,   10,  8, 16384,   // 10, 8 
+ 10,  9, 16384,   10,  9, 16384,   10,  9, 16384,   10,  9, 16384,   // 10, 9 
+ 10, 10, 16384,   10, 10, 16384,   10, 10, 16384,   10, 10, 16384,   // 10,10 
+ 10, 11, 16384,   10, 11, 16384,   10, 11, 16384,   10, 11, 16384,   // 10,11 
+ 10, 12, 16384,   10, 12, 16384,   10, 12, 16384,   10, 12, 16384,   // 10,12 
+ 10, 13, 16384,   10, 13, 16384,   10, 13, 16384,   10, 13, 16384,   // 10,13 
+ 10, 14, 16384,   10, 14, 16384,   10, 14, 16384,   10, 14, 16384,   // 10,14 
+ 10, 15, 16384,   10, 15, 16384,   10, 15, 16384,   10, 15, 16384,   // 10,15 
+ 11,  0, 16384,   11,  0, 16384,   11,  0, 16384,   11,  0, 16384,   // 11, 0 
+ 11,  1, 16384,   11,  1, 16384,   11,  1, 16384,   11,  1, 16384,   // 11, 1 
+ 11,  2, 16384,   11,  2, 16384,   11,  2, 16384,   11,  2, 16384,   // 11, 2 
+ 11,  3, 16384,   11,  3, 16384,   11,  3, 16384,   11,  3, 16384,   // 11, 3 
+ 11,  4, 16384,   11,  4, 16384,   11,  4, 16384,   11,  4, 16384,   // 11, 4 
+ 11,  5, 16384,   11,  5, 16384,   11,  5, 16384,   11,  5, 16384,   // 11, 5 
+ 11,  6, 16384,   11,  6, 16384,   11,  6, 16384,   11,  6, 16384,   // 11, 6 
+ 11,  7, 16384,   11,  7, 16384,   11,  7, 16384,   11,  7, 16384,   // 11, 7 
+ 11,  8, 16384,   11,  8, 16384,   11,  8, 16384,   11,  8, 16384,   // 11, 8 
+ 11,  9, 16384,   11,  9, 16384,   11,  9, 16384,   11,  9, 16384,   // 11, 9 
+ 11, 10, 16384,   11, 10, 16384,   11, 10, 16384,   11, 10, 16384,   // 11,10 
+ 11, 11, 16384,   11, 11, 16384,   11, 11, 16384,   11, 11, 16384,   // 11,11 
+ 11, 12, 16384,   11, 12, 16384,   11, 12, 16384,   11, 12, 16384,   // 11,12 
+ 11, 13, 16384,   11, 13, 16384,   11, 13, 16384,   11, 13, 16384,   // 11,13 
+ 11, 14, 16384,   11, 14, 16384,   11, 14, 16384,   11, 14, 16384,   // 11,14 
+ 11, 15, 16384,   11, 15, 16384,   11, 15, 16384,   11, 15, 16384,   // 11,15 
+ 12,  0, 16384,   12,  0, 16384,   12,  0, 16384,   12,  0, 16384,   // 12, 0 
+ 12,  1, 16384,   12,  1, 16384,   12,  1, 16384,   12,  1, 16384,   // 12, 1 
+ 12,  2, 16384,   12,  2, 16384,   12,  2, 16384,   12,  2, 16384,   // 12, 2 
+ 12,  3, 16384,   12,  3, 16384,   12,  3, 16384,   12,  3, 16384,   // 12, 3 
+ 12,  4, 16384,   12,  4, 16384,   12,  4, 16384,   12,  4, 16384,   // 12, 4 
+ 12,  5, 16384,   12,  5, 16384,   12,  5, 16384,   12,  5, 16384,   // 12, 5 
+ 12,  6, 16384,   12,  6, 16384,   12,  6, 16384,   12,  6, 16384,   // 12, 6 
+ 12,  7, 16384,   12,  7, 16384,   12,  7, 16384,   12,  7, 16384,   // 12, 7 
+ 12,  8, 16384,   12,  8, 16384,   12,  8, 16384,   12,  8, 16384,   // 12, 8 
+ 12,  9, 16384,   12,  9, 16384,   12,  9, 16384,   12,  9, 16384,   // 12, 9 
+ 12, 10, 16384,   12, 10, 16384,   12, 10, 16384,   12, 10, 16384,   // 12,10 
+ 12, 11, 16384,   12, 11, 16384,   12, 11, 16384,   12, 11, 16384,   // 12,11 
+ 12, 12, 16384,   12, 12, 16384,   12, 12, 16384,   12, 12, 16384,   // 12,12 
+ 12, 13, 16384,   12, 13, 16384,   12, 13, 16384,   12, 13, 16384,   // 12,13 
+ 12, 14, 16384,   12, 14, 16384,   12, 14, 16384,   12, 14, 16384,   // 12,14 
+ 12, 15, 16384,   12, 15, 16384,   12, 15, 16384,   12, 15, 16384,   // 12,15 
+ 13,  0, 16384,   13,  0, 16384,   13,  0, 16384,   13,  0, 16384,   // 13, 0 
+ 13,  1, 16384,   13,  1, 16384,   13,  1, 16384,   13,  1, 16384,   // 13, 1 
+ 13,  2, 16384,   13,  2, 16384,   13,  2, 16384,   13,  2, 16384,   // 13, 2 
+ 13,  3, 16384,   13,  3, 16384,   13,  3, 16384,   13,  3, 16384,   // 13, 3 
+ 13,  4, 16384,   13,  4, 16384,   13,  4, 16384,   13,  4, 16384,   // 13, 4 
+ 13,  5, 16384,   13,  5, 16384,   13,  5, 16384,   13,  5, 16384,   // 13, 5 
+ 13,  6, 16384,   13,  6, 16384,   13,  6, 16384,   13,  6, 16384,   // 13, 6 
+ 13,  7, 16384,   13,  7, 16384,   13,  7, 16384,   13,  7, 16384,   // 13, 7 
+ 13,  8, 16384,   13,  8, 16384,   13,  8, 16384,   13,  8, 16384,   // 13, 8 
+ 13,  9, 16384,   13,  9, 16384,   13,  9, 16384,   13,  9, 16384,   // 13, 9 
+ 13, 10, 16384,   13, 10, 16384,   13, 10, 16384,   13, 10, 16384,   // 13,10 
+ 13, 11, 16384,   13, 11, 16384,   13, 11, 16384,   13, 11, 16384,   // 13,11 
+ 13, 12, 16384,   13, 12, 16384,   13, 12, 16384,   13, 12, 16384,   // 13,12 
+ 13, 13, 16384,   13, 13, 16384,   13, 13, 16384,   13, 13, 16384,   // 13,13 
+ 13, 14, 16384,   13, 14, 16384,   13, 14, 16384,   13, 14, 16384,   // 13,14 
+ 13, 15, 16384,   13, 15, 16384,   13, 15, 16384,   13, 15, 16384,   // 13,15 
+ 14,  0, 16384,   14,  0, 16384,   14,  0, 16384,   14,  0, 16384,   // 14, 0 
+ 14,  1, 16384,   14,  1, 16384,   14,  1, 16384,   14,  1, 16384,   // 14, 1 
+ 14,  2, 16384,   14,  2, 16384,   14,  2, 16384,   14,  2, 16384,   // 14, 2 
+ 14,  3, 16384,   14,  3, 16384,   14,  3, 16384,   14,  3, 16384,   // 14, 3 
+ 14,  4, 16384,   14,  4, 16384,   14,  4, 16384,   14,  4, 16384,   // 14, 4 
+ 14,  5, 16384,   14,  5, 16384,   14,  5, 16384,   14,  5, 16384,   // 14, 5 
+ 14,  6, 16384,   14,  6, 16384,   14,  6, 16384,   14,  6, 16384,   // 14, 6 
+ 14,  7, 16384,   14,  7, 16384,   14,  7, 16384,   14,  7, 16384,   // 14, 7 
+ 14,  8, 16384,   14,  8, 16384,   14,  8, 16384,   14,  8, 16384,   // 14, 8 
+ 14,  9, 16384,   14,  9, 16384,   14,  9, 16384,   14,  9, 16384,   // 14, 9 
+ 14, 10, 16384,   14, 10, 16384,   14, 10, 16384,   14, 10, 16384,   // 14,10 
+ 14, 11, 16384,   14, 11, 16384,   14, 11, 16384,   14, 11, 16384,   // 14,11 
+ 14, 12, 16384,   14, 12, 16384,   14, 12, 16384,   14, 12, 16384,   // 14,12 
+ 14, 13, 16384,   14, 13, 16384,   14, 13, 16384,   14, 13, 16384,   // 14,13 
+ 14, 14, 16384,   14, 14, 16384,   14, 14, 16384,   14, 14, 16384,   // 14,14 
+ 14, 15, 16384,   14, 15, 16384,   14, 15, 16384,   14, 15, 16384,   // 14,15 
+ 15,  0, 16384,   15,  0, 16384,   15,  0, 16384,   15,  0, 16384,   // 15, 0 
+ 15,  1, 16384,   15,  1, 16384,   15,  1, 16384,   15,  1, 16384,   // 15, 1 
+ 15,  2, 16384,   15,  2, 16384,   15,  2, 16384,   15,  2, 16384,   // 15, 2 
+ 15,  3, 16384,   15,  3, 16384,   15,  3, 16384,   15,  3, 16384,   // 15, 3 
+ 15,  4, 16384,   15,  4, 16384,   15,  4, 16384,   15,  4, 16384,   // 15, 4 
+ 15,  5, 16384,   15,  5, 16384,   15,  5, 16384,   15,  5, 16384,   // 15, 5 
+ 15,  6, 16384,   15,  6, 16384,   15,  6, 16384,   15,  6, 16384,   // 15, 6 
+ 15,  7, 16384,   15,  7, 16384,   15,  7, 16384,   15,  7, 16384,   // 15, 7 
+ 15,  8, 16384,   15,  8, 16384,   15,  8, 16384,   15,  8, 16384,   // 15, 8 
+ 15,  9, 16384,   15,  9, 16384,   15,  9, 16384,   15,  9, 16384,   // 15, 9 
+ 15, 10, 16384,   15, 10, 16384,   15, 10, 16384,   15, 10, 16384,   // 15,10 
+ 15, 11, 16384,   15, 11, 16384,   15, 11, 16384,   15, 11, 16384,   // 15,11 
+ 15, 12, 16384,   15, 12, 16384,   15, 12, 16384,   15, 12, 16384,   // 15,12 
+ 15, 13, 16384,   15, 13, 16384,   15, 13, 16384,   15, 13, 16384,   // 15,13 
+ 15, 14, 16384,   15, 14, 16384,   15, 14, 16384,   15, 14, 16384,   // 15,14 
+ 15, 15, 16384,   15, 15, 16384,   15, 15, 16384,   15, 15, 16384,   // 15,15 
+ // angle of 0.5 degrees
+  0, -1,  5106,    0,  0, 51699,    1, -1,  3621,    1,  0,  5110,   //  0, 0 
+  0,  0,  4851,    0,  1, 52457,    1,  0,  3422,    1,  1,  4806,   //  0, 1 
+  0,  1,  4610,    0,  2, 53168,    1,  1,  3235,    1,  2,  4523,   //  0, 2 
+  0,  2,  4390,    0,  3, 53814,    1,  2,  3065,    1,  3,  4267,   //  0, 3 
+  0,  3,  4200,    0,  4, 54376,    1,  3,  2917,    1,  4,  4043,   //  0, 4 
+  0,  4,  4046,    0,  5, 54833,    1,  4,  2797,    1,  5,  3860,   //  0, 5 
+  0,  5,  3939,    0,  6, 55164,    1,  5,  2709,    1,  6,  3724,   //  0, 6 
+  0,  6,  3885,    0,  7, 55352,    1,  6,  2659,    1,  7,  3640,   //  0, 7 
+ -1,  7,  2659,   -1,  8,  3638,    0,  7,  3885,    0,  8, 55354,   //  0, 8 
+ -1,  8,  2709,   -1,  9,  3722,    0,  8,  3940,    0,  9, 55165,   //  0, 9 
+ -1,  9,  2796,   -1, 10,  3858,    0,  9,  4047,    0, 10, 54835,   //  0,10 
+ -1, 10,  2916,   -1, 11,  4041,    0, 10,  4201,    0, 11, 54378,   //  0,11 
+ -1, 11,  3064,   -1, 12,  4264,    0, 11,  4392,    0, 12, 53816,   //  0,12 
+ -1, 12,  3235,   -1, 13,  4521,    0, 12,  4612,    0, 13, 53168,   //  0,13 
+ -1, 13,  3421,   -1, 14,  4803,    0, 13,  4854,    0, 14, 52458,   //  0,14 
+ -1, 14,  3621,   -1, 15,  5106,    0, 14,  5110,    0, 15, 51699,   //  0,15 
+  1, -1,  4803,    1,  0, 52457,    2, -1,  3421,    2,  0,  4855,   //  1, 0 
+  1,  0,  4522,    1,  1, 53285,    2,  0,  3204,    2,  1,  4525,   //  1, 1 
+  1,  1,  4253,    1,  2, 54071,    2,  1,  2998,    2,  2,  4214,   //  1, 2 
+  1,  2,  4003,    1,  3, 54796,    2,  2,  2808,    2,  3,  3929,   //  1, 3 
+  1,  3,  3783,    1,  4, 55434,    2,  3,  2640,    2,  4,  3679,   //  1, 4 
+  1,  4,  3604,    1,  5, 55958,    2,  4,  2503,    2,  5,  3471,   //  1, 5 
+  1,  5,  3476,    1,  6, 56339,    2,  5,  2403,    2,  6,  3318,   //  1, 6 
+  1,  6,  3411,    1,  7, 56552,    2,  6,  2346,    2,  7,  3227,   //  1, 7 
+  0,  7,  2346,    0,  8,  3225,    1,  7,  3411,    1,  8, 56554,   //  1, 8 
+  0,  8,  2402,    0,  9,  3317,    1,  8,  3477,    1,  9, 56340,   //  1, 9 
+  0,  9,  2502,    0, 10,  3470,    1,  9,  3605,    1, 10, 55959,   //  1,10 
+  0, 10,  2640,    0, 11,  3677,    1, 10,  3785,    1, 11, 55434,   //  1,11 
+  0, 11,  2808,    0, 12,  3927,    1, 11,  4005,    1, 12, 54796,   //  1,12 
+  0, 12,  2998,    0, 13,  4212,    1, 12,  4255,    1, 13, 54071,   //  1,13 
+  0, 13,  3204,    0, 14,  4522,    1, 13,  4525,    1, 14, 53285,   //  1,14 
+  0, 14,  3422,    0, 15,  4851,    1, 14,  4806,    1, 15, 52457,   //  1,15 
+  2, -1,  4521,    2,  0, 53168,    3, -1,  3235,    3,  0,  4612,   //  2, 0 
+  2,  0,  4212,    2,  1, 54072,    3,  0,  2998,    3,  1,  4254,   //  2, 1 
+  2,  1,  3911,    2,  2, 54941,    3,  1,  2770,    3,  2,  3914,   //  2, 2 
+  2,  2,  3628,    2,  3, 55756,    3,  2,  2557,    3,  3,  3595,   //  2, 3 
+  2,  3,  3373,    2,  4, 56486,    3,  3,  2365,    3,  4,  3312,   //  2, 4 
+  2,  4,  3161,    2,  5, 57095,    3,  4,  2205,    3,  5,  3075,   //  2, 5 
+  2,  5,  3007,    2,  6, 57544,    3,  5,  2088,    3,  6,  2897,   //  2, 6 
+  2,  6,  2926,    2,  7, 57793,    3,  6,  2022,    3,  7,  2795,   //  2, 7 
+  1,  7,  2022,    1,  8,  2794,    2,  7,  2926,    2,  8, 57794,   //  2, 8 
+  1,  8,  2088,    1,  9,  2897,    2,  8,  3007,    2,  9, 57544,   //  2, 9 
+  1,  9,  2205,    1, 10,  3073,    2,  9,  3161,    2, 10, 57097,   //  2,10 
+  1, 10,  2365,    1, 11,  3310,    2, 10,  3374,    2, 11, 56487,   //  2,11 
+  1, 11,  2556,    1, 12,  3594,    2, 11,  3630,    2, 12, 55756,   //  2,12 
+  1, 12,  2770,    1, 13,  3911,    2, 12,  3913,    2, 13, 54942,   //  2,13 
+  1, 13,  2998,    1, 14,  4253,    2, 13,  4214,    2, 14, 54071,   //  2,14 
+  1, 14,  3235,    1, 15,  4610,    2, 14,  4523,    2, 15, 53168,   //  2,15 
+  3, -1,  4264,    3,  0, 53815,    4, -1,  3064,    4,  0,  4393,   //  3, 0 
+  3,  0,  3927,    3,  1, 54796,    4,  0,  2808,    4,  1,  4005,   //  3, 1 
+  3,  1,  3594,    3,  2, 55756,    4,  1,  2556,    4,  2,  3630,   //  3, 2 
+  3,  2,  3273,    3,  3, 56673,    4,  2,  2317,    4,  3,  3273,   //  3, 3 
+  3,  3,  2976,    3,  4, 57514,    4,  3,  2096,    4,  4,  2950,   //  3, 4 
+  3,  4,  2722,    3,  5, 58233,    4,  4,  1908,    4,  5,  2673,   //  3, 5 
+  3,  5,  2532,    3,  6, 58774,    4,  5,  1767,    4,  6,  2463,   //  3, 6 
+  3,  6,  2430,    3,  7, 59076,    4,  6,  1687,    4,  7,  2343,   //  3, 7 
+  2,  7,  1687,    2,  8,  2342,    3,  7,  2430,    3,  8, 59077,   //  3, 8 
+  2,  8,  1766,    2,  9,  2463,    3,  8,  2532,    3,  9, 58775,   //  3, 9 
+  2,  9,  1908,    2, 10,  2672,    3,  9,  2723,    3, 10, 58233,   //  3,10 
+  2, 10,  2096,    2, 11,  2948,    3, 10,  2977,    3, 11, 57515,   //  3,11 
+  2, 11,  2317,    2, 12,  3273,    3, 11,  3274,    3, 12, 56672,   //  3,12 
+  2, 12,  2557,    2, 13,  3628,    3, 12,  3595,    3, 13, 55756,   //  3,13 
+  2, 13,  2808,    2, 14,  4003,    3, 13,  3929,    3, 14, 54796,   //  3,14 
+  2, 14,  3065,    2, 15,  4390,    3, 14,  4267,    3, 15, 53814,   //  3,15 
+  4, -1,  4041,    4,  0, 54378,    5, -1,  2916,    5,  0,  4201,   //  4, 0 
+  4,  0,  3677,    4,  1, 55435,    5,  0,  2640,    5,  1,  3784,   //  4, 1 
+  4,  1,  3310,    4,  2, 56487,    5,  1,  2365,    5,  2,  3374,   //  4, 2 
+  4,  2,  2948,    4,  3, 57514,    5,  2,  2096,    5,  3,  2978,   //  4, 3 
+  4,  3,  2604,    4,  4, 58484,    5,  3,  1843,    5,  4,  2605,   //  4, 4 
+  4,  4,  2297,    4,  5, 59345,    5,  4,  1617,    5,  5,  2277,   //  4, 5 
+  4,  5,  2057,    4,  6, 60017,    5,  5,  1442,    5,  6,  2020,   //  4, 6 
+  4,  6,  1922,    4,  7, 60402,    5,  6,  1341,    5,  7,  1871,   //  4, 7 
+  3,  7,  1341,    3,  8,  1871,    4,  7,  1922,    4,  8, 60402,   //  4, 8 
+  3,  8,  1442,    3,  9,  2020,    4,  8,  2057,    4,  9, 60017,   //  4, 9 
+  3,  9,  1617,    3, 10,  2276,    4,  9,  2297,    4, 10, 59346,   //  4,10 
+  3, 10,  1843,    3, 11,  2604,    4, 10,  2605,    4, 11, 58484,   //  4,11 
+  3, 11,  2096,    3, 12,  2976,    4, 11,  2950,    4, 12, 57514,   //  4,12 
+  3, 12,  2365,    3, 13,  3373,    4, 12,  3311,    4, 13, 56487,   //  4,13 
+  3, 13,  2640,    3, 14,  3783,    4, 13,  3678,    4, 14, 55435,   //  4,14 
+  3, 14,  2917,    3, 15,  4200,    4, 14,  4043,    4, 15, 54376,   //  4,15 
+  5, -1,  3858,    5,  0, 54835,    6, -1,  2796,    6,  0,  4047,   //  5, 0 
+  5,  0,  3470,    5,  1, 55959,    6,  0,  2502,    6,  1,  3605,   //  5, 1 
+  5,  1,  3073,    5,  2, 57096,    6,  1,  2205,    6,  2,  3162,   //  5, 2 
+  5,  2,  2672,    5,  3, 58234,    6,  2,  1908,    6,  3,  2722,   //  5, 3 
+  5,  3,  2276,    5,  4, 59346,    6,  3,  1617,    6,  4,  2297,   //  5, 4 
+  5,  4,  1904,    5,  5, 60381,    6,  4,  1347,    6,  5,  1904,   //  5, 5 
+  5,  5,  1593,    5,  6, 61243,    6,  5,  1121,    6,  6,  1579,   //  5, 6 
+  5,  6,  1405,    5,  7, 61767,    6,  6,   985,    6,  7,  1379,   //  5, 7 
+  4,  7,   985,    4,  8,  1380,    5,  7,  1405,    5,  8, 61766,   //  5, 8 
+  4,  8,  1121,    4,  9,  1578,    5,  8,  1593,    5,  9, 61244,   //  5, 9 
+  4,  9,  1347,    4, 10,  1904,    5,  9,  1904,    5, 10, 60381,   //  5,10 
+  4, 10,  1617,    4, 11,  2297,    5, 10,  2276,    5, 11, 59346,   //  5,11 
+  4, 11,  1908,    4, 12,  2722,    5, 11,  2673,    5, 12, 58233,   //  5,12 
+  4, 12,  2205,    4, 13,  3161,    5, 12,  3074,    5, 13, 57096,   //  5,13 
+  4, 13,  2503,    4, 14,  3604,    5, 13,  3472,    5, 14, 55957,   //  5,14 
+  4, 14,  2797,    4, 15,  4046,    5, 14,  3860,    5, 15, 54833,   //  5,15 
+  6, -1,  3722,    6,  0, 55166,    7, -1,  2709,    7,  0,  3939,   //  6, 0 
+  6,  0,  3317,    6,  1, 56340,    7,  0,  2402,    7,  1,  3477,   //  6, 1 
+  6,  1,  2897,    6,  2, 57545,    7,  1,  2088,    7,  2,  3006,   //  6, 2 
+  6,  2,  2463,    6,  3, 58775,    7,  2,  1766,    7,  3,  2532,   //  6, 3 
+  6,  3,  2020,    6,  4, 60018,    7,  3,  1442,    7,  4,  2056,   //  6, 4 
+  6,  4,  1578,    6,  5, 61243,    7,  4,  1121,    7,  5,  1594,   //  6, 5 
+  6,  5,  1170,    6,  6, 62369,    7,  5,   827,    7,  6,  1170,   //  6, 6 
+  6,  6,   883,    6,  7, 63156,    7,  6,   622,    7,  7,   875,   //  6, 7 
+  5,  7,   622,    5,  8,   875,    6,  7,   883,    6,  8, 63156,   //  6, 8 
+  5,  8,   827,    5,  9,  1170,    6,  8,  1170,    6,  9, 62369,   //  6, 9 
+  5,  9,  1121,    5, 10,  1593,    6,  9,  1579,    6, 10, 61243,   //  6,10 
+  5, 10,  1442,    5, 11,  2057,    6, 10,  2020,    6, 11, 60017,   //  6,11 
+  5, 11,  1767,    5, 12,  2532,    6, 11,  2464,    6, 12, 58773,   //  6,12 
+  5, 12,  2088,    5, 13,  3007,    6, 12,  2898,    6, 13, 57543,   //  6,13 
+  5, 13,  2403,    5, 14,  3476,    6, 13,  3319,    6, 14, 56338,   //  6,14 
+  5, 14,  2709,    5, 15,  3939,    6, 14,  3724,    6, 15, 55164,   //  6,15 
+  7, -1,  3638,    7,  0, 55354,    8, -1,  2659,    8,  0,  3885,   //  7, 0 
+  7,  0,  3225,    7,  1, 56554,    8,  0,  2346,    8,  1,  3411,   //  7, 1 
+  7,  1,  2794,    7,  2, 57795,    8,  1,  2022,    8,  2,  2925,   //  7, 2 
+  7,  2,  2342,    7,  3, 59077,    8,  2,  1687,    8,  3,  2430,   //  7, 3 
+  7,  3,  1871,    7,  4, 60402,    8,  3,  1341,    8,  4,  1922,   //  7, 4 
+  7,  4,  1380,    7,  5, 61767,    8,  4,   985,    8,  5,  1404,   //  7, 5 
+  7,  5,   875,    7,  6, 63156,    8,  5,   622,    8,  6,   883,   //  7, 6 
+  7,  6,   399,    7,  7, 64455,    8,  6,   282,    8,  7,   400,   //  7, 7 
+  6,  7,   282,    6,  8,   399,    7,  7,   399,    7,  8, 64456,   //  7, 8 
+  6,  8,   622,    6,  9,   883,    7,  8,   875,    7,  9, 63156,   //  7, 9 
+  6,  9,   985,    6, 10,  1405,    7,  9,  1380,    7, 10, 61766,   //  7,10 
+  6, 10,  1341,    6, 11,  1922,    7, 10,  1871,    7, 11, 60402,   //  7,11 
+  6, 11,  1687,    6, 12,  2430,    7, 11,  2343,    7, 12, 59076,   //  7,12 
+  6, 12,  2022,    6, 13,  2926,    7, 12,  2795,    7, 13, 57793,   //  7,13 
+  6, 13,  2346,    6, 14,  3411,    7, 13,  3227,    7, 14, 56552,   //  7,14 
+  6, 14,  2659,    6, 15,  3885,    7, 14,  3640,    7, 15, 55352,   //  7,15 
+  8,  0, 55352,    8,  1,  3640,    9,  0,  3885,    9,  1,  2659,   //  8, 0 
+  8,  1, 56552,    8,  2,  3227,    9,  1,  3411,    9,  2,  2346,   //  8, 1 
+  8,  2, 57793,    8,  3,  2795,    9,  2,  2926,    9,  3,  2022,   //  8, 2 
+  8,  3, 59076,    8,  4,  2343,    9,  3,  2430,    9,  4,  1687,   //  8, 3 
+  8,  4, 60402,    8,  5,  1871,    9,  4,  1922,    9,  5,  1341,   //  8, 4 
+  8,  5, 61767,    8,  6,  1380,    9,  5,  1405,    9,  6,   984,   //  8, 5 
+  8,  6, 63156,    8,  7,   875,    9,  6,   883,    9,  7,   622,   //  8, 6 
+  8,  7, 64455,    8,  8,   399,    9,  7,   399,    9,  8,   283,   //  8, 7 
+  7,  8,   399,    7,  9,   282,    8,  8, 64455,    8,  9,   400,   //  8, 8 
+  7,  9,   883,    7, 10,   622,    8,  9, 63156,    8, 10,   875,   //  8, 9 
+  7, 10,  1405,    7, 11,   985,    8, 10, 61767,    8, 11,  1379,   //  8,10 
+  7, 11,  1922,    7, 12,  1341,    8, 11, 60402,    8, 12,  1871,   //  8,11 
+  7, 12,  2430,    7, 13,  1687,    8, 12, 59077,    8, 13,  2342,   //  8,12 
+  7, 13,  2926,    7, 14,  2022,    8, 13, 57795,    8, 14,  2793,   //  8,13 
+  7, 14,  3411,    7, 15,  2346,    8, 14, 56554,    8, 15,  3225,   //  8,14 
+  7, 15,  3885,    7, 16,  2659,    8, 15, 55354,    8, 16,  3638,   //  8,15 
+  9,  0, 55164,    9,  1,  3724,   10,  0,  3939,   10,  1,  2709,   //  9, 0 
+  9,  1, 56339,    9,  2,  3319,   10,  1,  3476,   10,  2,  2402,   //  9, 1 
+  9,  2, 57544,    9,  3,  2898,   10,  2,  3007,   10,  3,  2087,   //  9, 2 
+  9,  3, 58774,    9,  4,  2464,   10,  3,  2532,   10,  4,  1766,   //  9, 3 
+  9,  4, 60017,    9,  5,  2020,   10,  4,  2057,   10,  5,  1442,   //  9, 4 
+  9,  5, 61243,    9,  6,  1579,   10,  5,  1593,   10,  6,  1121,   //  9, 5 
+  9,  6, 62369,    9,  7,  1170,   10,  6,  1170,   10,  7,   827,   //  9, 6 
+  9,  7, 63156,    9,  8,   883,   10,  7,   875,   10,  8,   622,   //  9, 7 
+  8,  8,   875,    8,  9,   622,    9,  8, 63156,    9,  9,   883,   //  9, 8 
+  8,  9,  1170,    8, 10,   827,    9,  9, 62369,    9, 10,  1170,   //  9, 9 
+  8, 10,  1593,    8, 11,  1121,    9, 10, 61243,    9, 11,  1579,   //  9,10 
+  8, 11,  2057,    8, 12,  1442,    9, 11, 60018,    9, 12,  2019,   //  9,11 
+  8, 12,  2532,    8, 13,  1766,    9, 12, 58775,    9, 13,  2463,   //  9,12 
+  8, 13,  3007,    8, 14,  2088,    9, 13, 57545,    9, 14,  2896,   //  9,13 
+  8, 14,  3477,    8, 15,  2402,    9, 14, 56340,    9, 15,  3317,   //  9,14 
+  8, 15,  3940,    8, 16,  2709,    9, 15, 55166,    9, 16,  3721,   //  9,15 
+ 10,  0, 54833,   10,  1,  3860,   11,  0,  4046,   11,  1,  2797,   // 10, 0 
+ 10,  1, 55958,   10,  2,  3472,   11,  1,  3604,   11,  2,  2502,   // 10, 1 
+ 10,  2, 57095,   10,  3,  3074,   11,  2,  3161,   11,  3,  2206,   // 10, 2 
+ 10,  3, 58233,   10,  4,  2673,   11,  3,  2722,   11,  4,  1908,   // 10, 3 
+ 10,  4, 59345,   10,  5,  2276,   11,  4,  2297,   11,  5,  1618,   // 10, 4 
+ 10,  5, 60381,   10,  6,  1904,   11,  5,  1904,   11,  6,  1347,   // 10, 5 
+ 10,  6, 61243,   10,  7,  1593,   11,  6,  1578,   11,  7,  1122,   // 10, 6 
+ 10,  7, 61767,   10,  8,  1405,   11,  7,  1380,   11,  8,   984,   // 10, 7 
+  9,  8,  1380,    9,  9,   985,   10,  8, 61767,   10,  9,  1404,   // 10, 8 
+  9,  9,  1579,    9, 10,  1121,   10,  9, 61243,   10, 10,  1593,   // 10, 9 
+  9, 10,  1904,    9, 11,  1347,   10, 10, 60381,   10, 11,  1904,   // 10,10 
+  9, 11,  2297,    9, 12,  1617,   10, 11, 59346,   10, 12,  2276,   // 10,11 
+  9, 12,  2723,    9, 13,  1908,   10, 12, 58234,   10, 13,  2671,   // 10,12 
+  9, 13,  3161,    9, 14,  2205,   10, 13, 57096,   10, 14,  3074,   // 10,13 
+  9, 14,  3605,    9, 15,  2502,   10, 14, 55959,   10, 15,  3470,   // 10,14 
+  9, 15,  4047,    9, 16,  2796,   10, 15, 54835,   10, 16,  3858,   // 10,15 
+ 11,  0, 54376,   11,  1,  4043,   12,  0,  4200,   12,  1,  2917,   // 11, 0 
+ 11,  1, 55434,   11,  2,  3678,   12,  1,  3783,   12,  2,  2641,   // 11, 1 
+ 11,  2, 56486,   11,  3,  3311,   12,  2,  3373,   12,  3,  2366,   // 11, 2 
+ 11,  3, 57514,   11,  4,  2950,   12,  3,  2976,   12,  4,  2096,   // 11, 3 
+ 11,  4, 58484,   11,  5,  2605,   12,  4,  2604,   12,  5,  1843,   // 11, 4 
+ 11,  5, 59346,   11,  6,  2297,   12,  5,  2276,   12,  6,  1617,   // 11, 5 
+ 11,  6, 60018,   11,  7,  2057,   12,  6,  2020,   12,  7,  1441,   // 11, 6 
+ 11,  7, 60402,   11,  8,  1922,   12,  7,  1871,   12,  8,  1341,   // 11, 7 
+ 10,  8,  1871,   10,  9,  1341,   11,  8, 60402,   11,  9,  1922,   // 11, 8 
+ 10,  9,  2020,   10, 10,  1442,   11,  9, 60017,   11, 10,  2057,   // 11, 9 
+ 10, 10,  2276,   10, 11,  1617,   11, 10, 59345,   11, 11,  2298,   // 11,10 
+ 10, 11,  2605,   10, 12,  1843,   11, 11, 58484,   11, 12,  2604,   // 11,11 
+ 10, 12,  2977,   10, 13,  2096,   11, 12, 57514,   11, 13,  2949,   // 11,12 
+ 10, 13,  3374,   10, 14,  2365,   11, 13, 56487,   11, 14,  3310,   // 11,13 
+ 10, 14,  3785,   10, 15,  2640,   11, 14, 55435,   11, 15,  3676,   // 11,14 
+ 10, 15,  4201,   10, 16,  2916,   11, 15, 54378,   11, 16,  4041,   // 11,15 
+ 12,  0, 53814,   12,  1,  4267,   13,  0,  4390,   13,  1,  3065,   // 12, 0 
+ 12,  1, 54796,   12,  2,  3929,   13,  1,  4003,   13,  2,  2808,   // 12, 1 
+ 12,  2, 55756,   12,  3,  3595,   13,  2,  3628,   13,  3,  2557,   // 12, 2 
+ 12,  3, 56673,   12,  4,  3274,   13,  3,  3273,   13,  4,  2316,   // 12, 3 
+ 12,  4, 57514,   12,  5,  2977,   13,  4,  2948,   13,  5,  2097,   // 12, 4 
+ 12,  5, 58234,   12,  6,  2723,   13,  5,  2672,   13,  6,  1907,   // 12, 5 
+ 12,  6, 58775,   12,  7,  2532,   13,  6,  2463,   13,  7,  1766,   // 12, 6 
+ 12,  7, 59077,   12,  8,  2430,   13,  7,  2342,   13,  8,  1687,   // 12, 7 
+ 11,  8,  2343,   11,  9,  1687,   12,  8, 59076,   12,  9,  2430,   // 12, 8 
+ 11,  9,  2464,   11, 10,  1767,   12,  9, 58774,   12, 10,  2531,   // 12, 9 
+ 11, 10,  2673,   11, 11,  1908,   12, 10, 58233,   12, 11,  2722,   // 12,10 
+ 11, 11,  2950,   11, 12,  2096,   12, 11, 57514,   12, 12,  2976,   // 12,11 
+ 11, 12,  3274,   11, 13,  2317,   12, 12, 56673,   12, 13,  3272,   // 12,12 
+ 11, 13,  3630,   11, 14,  2556,   12, 13, 55756,   12, 14,  3594,   // 12,13 
+ 11, 14,  4005,   11, 15,  2808,   12, 14, 54796,   12, 15,  3927,   // 12,14 
+ 11, 15,  4392,   11, 16,  3064,   12, 15, 53815,   12, 16,  4265,   // 12,15 
+ 13,  0, 53168,   13,  1,  4523,   14,  0,  4610,   14,  1,  3235,   // 13, 0 
+ 13,  1, 54071,   13,  2,  4214,   14,  1,  4253,   14,  2,  2998,   // 13, 1 
+ 13,  2, 54941,   13,  3,  3913,   14,  2,  3911,   14,  3,  2771,   // 13, 2 
+ 13,  3, 55756,   13,  4,  3630,   14,  3,  3594,   14,  4,  2556,   // 13, 3 
+ 13,  4, 56487,   13,  5,  3374,   14,  4,  3310,   14,  5,  2365,   // 13, 4 
+ 13,  5, 57096,   13,  6,  3161,   14,  5,  3073,   14,  6,  2206,   // 13, 5 
+ 13,  6, 57545,   13,  7,  3007,   14,  6,  2897,   14,  7,  2087,   // 13, 6 
+ 13,  7, 57795,   13,  8,  2926,   14,  7,  2794,   14,  8,  2021,   // 13, 7 
+ 12,  8,  2795,   12,  9,  2022,   13,  8, 57793,   13,  9,  2926,   // 13, 8 
+ 12,  9,  2898,   12, 10,  2088,   13,  9, 57544,   13, 10,  3006,   // 13, 9 
+ 12, 10,  3074,   12, 11,  2205,   13, 10, 57095,   13, 11,  3162,   // 13,10 
+ 12, 11,  3311,   12, 12,  2365,   13, 11, 56486,   13, 12,  3374,   // 13,11 
+ 12, 12,  3595,   12, 13,  2557,   13, 12, 55756,   13, 13,  3628,   // 13,12 
+ 12, 13,  3913,   12, 14,  2770,   13, 13, 54941,   13, 14,  3912,   // 13,13 
+ 12, 14,  4255,   12, 15,  2998,   13, 14, 54072,   13, 15,  4211,   // 13,14 
+ 12, 15,  4612,   12, 16,  3235,   13, 15, 53168,   13, 16,  4521,   // 13,15 
+ 14,  0, 52457,   14,  1,  4806,   15,  0,  4851,   15,  1,  3422,   // 14, 0 
+ 14,  1, 53285,   14,  2,  4525,   15,  1,  4522,   15,  2,  3204,   // 14, 1 
+ 14,  2, 54072,   14,  3,  4255,   15,  2,  4212,   15,  3,  2997,   // 14, 2 
+ 14,  3, 54796,   14,  4,  4005,   15,  3,  3927,   15,  4,  2808,   // 14, 3 
+ 14,  4, 55435,   14,  5,  3785,   15,  4,  3677,   15,  5,  2639,   // 14, 4 
+ 14,  5, 55959,   14,  6,  3605,   15,  5,  3470,   15,  6,  2502,   // 14, 5 
+ 14,  6, 56340,   14,  7,  3477,   15,  6,  3317,   15,  7,  2402,   // 14, 6 
+ 14,  7, 56554,   14,  8,  3411,   15,  7,  3225,   15,  8,  2346,   // 14, 7 
+ 13,  8,  3227,   13,  9,  2346,   14,  8, 56552,   14,  9,  3411,   // 14, 8 
+ 13,  9,  3319,   13, 10,  2403,   14,  9, 56339,   14, 10,  3475,   // 14, 9 
+ 13, 10,  3472,   13, 11,  2503,   14, 10, 55958,   14, 11,  3603,   // 14,10 
+ 13, 11,  3678,   13, 12,  2640,   14, 11, 55434,   14, 12,  3784,   // 14,11 
+ 13, 12,  3929,   13, 13,  2808,   14, 12, 54796,   14, 13,  4003,   // 14,12 
+ 13, 13,  4214,   13, 14,  2998,   14, 13, 54071,   14, 14,  4253,   // 14,13 
+ 13, 14,  4525,   13, 15,  3204,   14, 14, 53285,   14, 15,  4522,   // 14,14 
+ 13, 15,  4854,   13, 16,  3421,   14, 15, 52457,   14, 16,  4804,   // 14,15 
+ 15,  0, 51699,   15,  1,  5110,   16,  0,  5106,   16,  1,  3621,   // 15, 0 
+ 15,  1, 52457,   15,  2,  4854,   16,  1,  4803,   16,  2,  3422,   // 15, 1 
+ 15,  2, 53168,   15,  3,  4612,   16,  2,  4521,   16,  3,  3235,   // 15, 2 
+ 15,  3, 53815,   15,  4,  4392,   16,  3,  4264,   16,  4,  3065,   // 15, 3 
+ 15,  4, 54378,   15,  5,  4201,   16,  4,  4041,   16,  5,  2916,   // 15, 4 
+ 15,  5, 54835,   15,  6,  4047,   16,  5,  3858,   16,  6,  2796,   // 15, 5 
+ 15,  6, 55166,   15,  7,  3940,   16,  6,  3722,   16,  7,  2708,   // 15, 6 
+ 15,  7, 55354,   15,  8,  3885,   16,  7,  3638,   16,  8,  2659,   // 15, 7 
+ 14,  8,  3640,   14,  9,  2659,   15,  8, 55352,   15,  9,  3885,   // 15, 8 
+ 14,  9,  3724,   14, 10,  2709,   15,  9, 55164,   15, 10,  3939,   // 15, 9 
+ 14, 10,  3860,   14, 11,  2797,   15, 10, 54833,   15, 11,  4046,   // 15,10 
+ 14, 11,  4043,   14, 12,  2917,   15, 11, 54376,   15, 12,  4200,   // 15,11 
+ 14, 12,  4267,   14, 13,  3065,   15, 12, 53814,   15, 13,  4390,   // 15,12 
+ 14, 13,  4523,   14, 14,  3235,   15, 13, 53168,   15, 14,  4610,   // 15,13 
+ 14, 14,  4806,   14, 15,  3422,   15, 14, 52457,   15, 15,  4851,   // 15,14 
+ 14, 15,  5110,   14, 16,  3621,   15, 15, 51699,   15, 16,  5106,   // 15,15 
+ // angle of 1.0 degrees
+  0, -1,  8769,    0,  0, 41693,    1, -1,  6280,    1,  0,  8794,   //  0, 0 
+  0,  0,  8452,    0,  1, 42821,    1,  0,  5975,    1,  1,  8288,   //  0, 1 
+  0,  1,  8141,    0,  2, 43900,    1,  1,  5684,    1,  2,  7811,   //  0, 2 
+  0,  2,  7848,    0,  3, 44901,    1,  2,  5413,    1,  3,  7374,   //  0, 3 
+  0,  3,  7587,    0,  4, 45791,    1,  3,  5172,    1,  4,  6986,   //  0, 4 
+  0,  4,  7374,    0,  5, 46532,    1,  4,  4971,    1,  5,  6659,   //  0, 5 
+  0,  5,  7227,    0,  6, 47086,    1,  5,  4818,    1,  6,  6405,   //  0, 6 
+  0,  6,  7158,    0,  7, 47426,    1,  6,  4722,    1,  7,  6230,   //  0, 7 
+ -1,  7,  4718,   -1,  8,  6217,    0,  7,  7161,    0,  8, 47440,   //  0, 8 
+ -1,  8,  4814,   -1,  9,  6391,    0,  8,  7233,    0,  9, 47098,   //  0, 9 
+ -1,  9,  4967,   -1, 10,  6644,    0,  9,  7383,    0, 10, 46542,   //  0,10 
+ -1, 10,  5169,   -1, 11,  6970,    0, 10,  7599,    0, 11, 45798,   //  0,11 
+ -1, 11,  5410,   -1, 12,  7356,    0, 11,  7863,    0, 12, 44907,   //  0,12 
+ -1, 12,  5682,   -1, 13,  7791,    0, 12,  8159,    0, 13, 43904,   //  0,13 
+ -1, 13,  5974,   -1, 14,  8265,    0, 13,  8474,    0, 14, 42823,   //  0,14 
+ -1, 14,  6280,   -1, 15,  8769,    0, 14,  8795,    0, 15, 41692,   //  0,15 
+  1, -1,  8265,    1,  0, 42823,    2, -1,  5974,    2,  0,  8474,   //  1, 0 
+  1,  0,  7901,    1,  1, 44074,    2,  0,  5640,    2,  1,  7921,   //  1, 1 
+  1,  1,  7539,    1,  2, 45286,    2,  1,  5316,    2,  2,  7395,   //  1, 2 
+  1,  2,  7191,    1,  3, 46427,    2,  2,  5011,    2,  3,  6907,   //  1, 3 
+  1,  3,  6875,    1,  4, 47453,    2,  3,  4736,    2,  4,  6472,   //  1, 4 
+  1,  4,  6613,    1,  5, 48314,    2,  4,  4505,    2,  5,  6104,   //  1, 5 
+  1,  5,  6425,    1,  6, 48960,    2,  5,  4330,    2,  6,  5821,   //  1, 6 
+  1,  6,  6332,    1,  7, 49347,    2,  6,  4224,    2,  7,  5633,   //  1, 7 
+  0,  7,  4221,    0,  8,  5623,    1,  7,  6335,    1,  8, 49357,   //  1, 8 
+  0,  8,  4327,    0,  9,  5809,    1,  8,  6430,    1,  9, 48970,   //  1, 9 
+  0,  9,  4502,    0, 10,  6092,    1,  9,  6620,    1, 10, 48322,   //  1,10 
+  0, 10,  4734,    0, 11,  6458,    1, 10,  6886,    1, 11, 47458,   //  1,11 
+  0, 11,  5009,    0, 12,  6892,    1, 11,  7204,    1, 12, 46431,   //  1,12 
+  0, 12,  5315,    0, 13,  7378,    1, 12,  7555,    1, 13, 45288,   //  1,13 
+  0, 13,  5640,    0, 14,  7901,    1, 13,  7921,    1, 14, 44074,   //  1,14 
+  0, 14,  5975,    0, 15,  8452,    1, 14,  8288,    1, 15, 42821,   //  1,15 
+  2, -1,  7791,    2,  0, 43904,    3, -1,  5682,    3,  0,  8159,   //  2, 0 
+  2,  0,  7378,    2,  1, 45288,    3,  0,  5315,    3,  1,  7555,   //  2, 1 
+  2,  1,  6959,    2,  2, 46650,    3,  1,  4954,    3,  2,  6973,   //  2, 2 
+  2,  2,  6549,    2,  3, 47953,    3,  2,  4608,    3,  3,  6426,   //  2, 3 
+  2,  3,  6168,    2,  4, 49147,    3,  3,  4291,    3,  4,  5930,   //  2, 4 
+  2,  4,  5842,    2,  5, 50165,    3,  4,  4020,    3,  5,  5509,   //  2, 5 
+  2,  5,  5602,    2,  6, 50935,    3,  5,  3815,    3,  6,  5184,   //  2, 6 
+  2,  6,  5478,    2,  7, 51387,    3,  6,  3693,    3,  7,  4978,   //  2, 7 
+  1,  7,  3691,    1,  8,  4970,    2,  7,  5480,    2,  8, 51395,   //  2, 8 
+  1,  8,  3813,    1,  9,  5175,    2,  8,  5606,    2,  9, 50942,   //  2, 9 
+  1,  9,  4019,    1, 10,  5499,    2,  9,  5848,    2, 10, 50170,   //  2,10 
+  1, 10,  4290,    1, 11,  5920,    2, 10,  6176,    2, 11, 49150,   //  2,11 
+  1, 11,  4607,    1, 12,  6414,    2, 11,  6560,    2, 12, 47955,   //  2,12 
+  1, 12,  4954,    1, 13,  6959,    2, 12,  6973,    2, 13, 46650,   //  2,13 
+  1, 13,  5316,    1, 14,  7539,    2, 13,  7395,    2, 14, 45286,   //  2,14 
+  1, 14,  5684,    1, 15,  8141,    2, 14,  7812,    2, 15, 43899,   //  2,15 
+  3, -1,  7356,    3,  0, 44907,    4, -1,  5410,    4,  0,  7863,   //  3, 0 
+  3,  0,  6892,    3,  1, 46430,    4,  0,  5009,    4,  1,  7205,   //  3, 1 
+  3,  1,  6414,    3,  2, 47955,    4,  1,  4607,    4,  2,  6560,   //  3, 2 
+  3,  2,  5934,    3,  3, 49445,    4,  2,  4214,    4,  3,  5943,   //  3, 3 
+  3,  3,  5474,    3,  4, 50843,    4,  3,  3846,    4,  4,  5373,   //  3, 4 
+  3,  4,  5069,    3,  5, 52066,    4,  4,  3523,    4,  5,  4878,   //  3, 5 
+  3,  5,  4759,    3,  6, 53008,    4,  5,  3274,    4,  6,  4495,   //  3, 6 
+  3,  6,  4592,    3,  7, 53557,    4,  6,  3128,    4,  7,  4259,   //  3, 7 
+  2,  7,  3126,    2,  8,  4254,    3,  7,  4594,    3,  8, 53562,   //  3, 8 
+  2,  8,  3273,    2,  9,  4489,    3,  8,  4762,    3,  9, 53012,   //  3, 9 
+  2,  9,  3522,    2, 10,  4872,    3,  9,  5073,    3, 10, 52069,   //  3,10 
+  2, 10,  3845,    2, 11,  5365,    3, 10,  5481,    3, 11, 50845,   //  3,11 
+  2, 11,  4214,    2, 12,  5934,    3, 11,  5943,    3, 12, 49445,   //  3,12 
+  2, 12,  4608,    2, 13,  6549,    3, 12,  6426,    3, 13, 47953,   //  3,13 
+  2, 13,  5011,    2, 14,  7191,    3, 13,  6908,    3, 14, 46426,   //  3,14 
+  2, 14,  5413,    2, 15,  7848,    3, 14,  7374,    3, 15, 44901,   //  3,15 
+  4, -1,  6970,    4,  0, 45799,    5, -1,  5169,    5,  0,  7598,   //  4, 0 
+  4,  0,  6458,    4,  1, 47458,    5,  0,  4734,    5,  1,  6886,   //  4, 1 
+  4,  1,  5920,    4,  2, 49150,    5,  1,  4290,    5,  2,  6176,   //  4, 2 
+  4,  2,  5365,    4,  3, 50844,    5,  2,  3845,    5,  3,  5482,   //  4, 3 
+  4,  3,  4816,    4,  4, 52484,    5,  3,  3415,    5,  4,  4821,   //  4, 4 
+  4,  4,  4309,    4,  5, 53973,    5,  4,  3023,    5,  5,  4231,   //  4, 5 
+  4,  5,  3902,    4,  6, 55164,    5,  5,  2711,    5,  6,  3759,   //  4, 6 
+  4,  6,  3671,    4,  7, 55867,    5,  6,  2525,    5,  7,  3473,   //  4, 7 
+  3,  7,  2524,    3,  8,  3469,    4,  7,  3672,    4,  8, 55871,   //  4, 8 
+  3,  8,  2710,    3,  9,  3755,    4,  8,  3904,    4,  9, 55167,   //  4, 9 
+  3,  9,  3023,    3, 10,  4226,    4,  9,  4313,    4, 10, 53974,   //  4,10 
+  3, 10,  3415,    3, 11,  4816,    4, 10,  4822,    4, 11, 52483,   //  4,11 
+  3, 11,  3846,    3, 12,  5474,    4, 11,  5373,    4, 12, 50843,   //  4,12 
+  3, 12,  4291,    3, 13,  6168,    4, 12,  5930,    4, 13, 49147,   //  4,13 
+  3, 13,  4736,    3, 14,  6875,    4, 13,  6472,    4, 14, 47453,   //  4,14 
+  3, 14,  5172,    3, 15,  7587,    4, 14,  6986,    4, 15, 45791,   //  4,15 
+  5, -1,  6644,    5,  0, 46541,    6, -1,  4967,    6,  0,  7384,   //  5, 0 
+  5,  0,  6092,    5,  1, 48322,    6,  0,  4502,    6,  1,  6620,   //  5, 1 
+  5,  1,  5499,    5,  2, 50171,    6,  1,  4019,    6,  2,  5847,   //  5, 2 
+  5,  2,  4872,    5,  3, 52069,    6,  2,  3522,    6,  3,  5073,   //  5, 3 
+  5,  3,  4226,    5,  4, 53975,    6,  3,  3023,    6,  4,  4312,   //  5, 4 
+  5,  4,  3595,    5,  5, 55798,    6,  4,  2546,    6,  5,  3597,   //  5, 5 
+  5,  5,  3050,    5,  6, 57353,    6,  5,  2138,    6,  6,  2995,   //  5, 6 
+  5,  6,  2713,    5,  7, 58322,    6,  6,  1884,    6,  7,  2617,   //  5, 7 
+  4,  7,  1884,    4,  8,  2615,    5,  7,  2714,    5,  8, 58323,   //  5, 8 
+  4,  8,  2138,    4,  9,  2993,    5,  8,  3051,    5,  9, 57354,   //  5, 9 
+  4,  9,  2546,    4, 10,  3595,    5,  9,  3598,    5, 10, 55797,   //  5,10 
+  4, 10,  3023,    4, 11,  4309,    5, 10,  4230,    5, 11, 53974,   //  5,11 
+  4, 11,  3523,    4, 12,  5069,    5, 11,  4879,    5, 12, 52065,   //  5,12 
+  4, 12,  4020,    4, 13,  5842,    5, 12,  5508,    5, 13, 50166,   //  5,13 
+  4, 13,  4505,    4, 14,  6613,    5, 13,  6104,    5, 14, 48314,   //  5,14 
+  4, 14,  4971,    4, 15,  7374,    5, 14,  6659,    5, 15, 46532,   //  5,15 
+  6, -1,  6391,    6,  0, 47098,    7, -1,  4814,    7,  0,  7233,   //  6, 0 
+  6,  0,  5809,    6,  1, 48969,    7,  0,  4327,    7,  1,  6431,   //  6, 1 
+  6,  1,  5175,    6,  2, 50942,    7,  1,  3813,    7,  2,  5606,   //  6, 2 
+  6,  2,  4489,    6,  3, 53012,    7,  2,  3273,    7,  3,  4762,   //  6, 3 
+  6,  3,  3755,    6,  4, 55166,    7,  3,  2710,    7,  4,  3905,   //  6, 4 
+  6,  4,  2993,    6,  5, 57354,    7,  4,  2138,    7,  5,  3051,   //  6, 5 
+  6,  5,  2258,    6,  6, 59422,    7,  5,  1597,    7,  6,  2259,   //  6, 6 
+  6,  6,  1726,    6,  7, 60905,    7,  6,  1210,    7,  7,  1695,   //  6, 7 
+  5,  7,  1209,    5,  8,  1695,    6,  7,  1726,    6,  8, 60906,   //  6, 8 
+  5,  8,  1597,    5,  9,  2258,    6,  8,  2259,    6,  9, 59422,   //  6, 9 
+  5,  9,  2138,    5, 10,  3050,    6,  9,  2995,    6, 10, 57353,   //  6,10 
+  5, 10,  2711,    5, 11,  3902,    6, 10,  3759,    6, 11, 55164,   //  6,11 
+  5, 11,  3274,    5, 12,  4759,    6, 11,  4495,    6, 12, 53008,   //  6,12 
+  5, 12,  3815,    5, 13,  5602,    6, 12,  5184,    6, 13, 50935,   //  6,13 
+  5, 13,  4330,    5, 14,  6425,    6, 13,  5820,    6, 14, 48961,   //  6,14 
+  5, 14,  4818,    5, 15,  7227,    6, 14,  6405,    6, 15, 47086,   //  6,15 
+  7, -1,  6217,    7,  0, 47440,    8, -1,  4718,    8,  0,  7161,   //  7, 0 
+  7,  0,  5623,    7,  1, 49358,    8,  0,  4221,    8,  1,  6334,   //  7, 1 
+  7,  1,  4970,    7,  2, 51395,    8,  1,  3691,    8,  2,  5480,   //  7, 2 
+  7,  2,  4254,    7,  3, 53562,    8,  2,  3126,    8,  3,  4594,   //  7, 3 
+  7,  3,  3469,    7,  4, 55870,    8,  3,  2524,    8,  4,  3673,   //  7, 4 
+  7,  4,  2615,    7,  5, 58324,    8,  4,  1884,    8,  5,  2713,   //  7, 5 
+  7,  5,  1695,    7,  6, 60906,    8,  5,  1209,    8,  6,  1726,   //  7, 6 
+  7,  6,   789,    7,  7, 63399,    8,  6,   558,    8,  7,   790,   //  7, 7 
+  6,  7,   558,    6,  8,   789,    7,  7,   789,    7,  8, 63400,   //  7, 8 
+  6,  8,  1210,    6,  9,  1726,    7,  8,  1695,    7,  9, 60905,   //  7, 9 
+  6,  9,  1884,    6, 10,  2713,    7,  9,  2616,    7, 10, 58323,   //  7,10 
+  6, 10,  2525,    6, 11,  3671,    7, 10,  3473,    7, 11, 55867,   //  7,11 
+  6, 11,  3128,    6, 12,  4592,    7, 11,  4259,    7, 12, 53557,   //  7,12 
+  6, 12,  3693,    6, 13,  5478,    7, 12,  4978,    7, 13, 51387,   //  7,13 
+  6, 13,  4224,    6, 14,  6332,    7, 13,  5633,    7, 14, 49347,   //  7,14 
+  6, 14,  4722,    6, 15,  7158,    7, 14,  6230,    7, 15, 47426,   //  7,15 
+  8,  0, 47426,    8,  1,  6230,    9,  0,  7158,    9,  1,  4722,   //  8, 0 
+  8,  1, 49347,    8,  2,  5633,    9,  1,  6332,    9,  2,  4224,   //  8, 1 
+  8,  2, 51387,    8,  3,  4978,    9,  2,  5478,    9,  3,  3693,   //  8, 2 
+  8,  3, 53557,    8,  4,  4259,    9,  3,  4592,    9,  4,  3128,   //  8, 3 
+  8,  4, 55867,    8,  5,  3473,    9,  4,  3671,    9,  5,  2525,   //  8, 4 
+  8,  5, 58322,    8,  6,  2616,    9,  5,  2713,    9,  6,  1885,   //  8, 5 
+  8,  6, 60905,    8,  7,  1695,    9,  6,  1726,    9,  7,  1210,   //  8, 6 
+  8,  7, 63399,    8,  8,   789,    9,  7,   789,    9,  8,   559,   //  8, 7 
+  7,  8,   789,    7,  9,   558,    8,  8, 63399,    8,  9,   790,   //  8, 8 
+  7,  9,  1726,    7, 10,  1209,    8,  9, 60906,    8, 10,  1695,   //  8, 9 
+  7, 10,  2714,    7, 11,  1884,    8, 10, 58324,    8, 11,  2614,   //  8,10 
+  7, 11,  3672,    7, 12,  2524,    8, 11, 55870,    8, 12,  3470,   //  8,11 
+  7, 12,  4594,    7, 13,  3126,    8, 12, 53562,    8, 13,  4254,   //  8,12 
+  7, 13,  5480,    7, 14,  3691,    8, 13, 51395,    8, 14,  4970,   //  8,13 
+  7, 14,  6335,    7, 15,  4221,    8, 14, 49358,    8, 15,  5622,   //  8,14 
+  7, 15,  7161,    7, 16,  4718,    8, 15, 47440,    8, 16,  6217,   //  8,15 
+  9,  0, 47086,    9,  1,  6405,   10,  0,  7227,   10,  1,  4818,   //  9, 0 
+  9,  1, 48960,    9,  2,  5820,   10,  1,  6425,   10,  2,  4331,   //  9, 1 
+  9,  2, 50935,    9,  3,  5184,   10,  2,  5602,   10,  3,  3815,   //  9, 2 
+  9,  3, 53008,    9,  4,  4495,   10,  3,  4759,   10,  4,  3274,   //  9, 3 
+  9,  4, 55164,    9,  5,  3759,   10,  4,  3902,   10,  5,  2711,   //  9, 4 
+  9,  5, 57353,    9,  6,  2995,   10,  5,  3050,   10,  6,  2138,   //  9, 5 
+  9,  6, 59422,    9,  7,  2259,   10,  6,  2258,   10,  7,  1597,   //  9, 6 
+  9,  7, 60906,    9,  8,  1726,   10,  7,  1695,   10,  8,  1209,   //  9, 7 
+  8,  8,  1695,    8,  9,  1210,    9,  8, 60905,    9,  9,  1726,   //  9, 8 
+  8,  9,  2259,    8, 10,  1597,    9,  9, 59422,    9, 10,  2258,   //  9, 9 
+  8, 10,  3051,    8, 11,  2138,    9, 10, 57354,    9, 11,  2993,   //  9,10 
+  8, 11,  3904,    8, 12,  2710,    9, 11, 55166,    9, 12,  3756,   //  9,11 
+  8, 12,  4762,    8, 13,  3273,    9, 12, 53012,    9, 13,  4489,   //  9,12 
+  8, 13,  5606,    8, 14,  3813,    9, 13, 50942,    9, 14,  5175,   //  9,13 
+  8, 14,  6430,    8, 15,  4327,    9, 14, 48969,    9, 15,  5810,   //  9,14 
+  8, 15,  7233,    8, 16,  4814,    9, 15, 47098,    9, 16,  6391,   //  9,15 
+ 10,  0, 46532,   10,  1,  6659,   11,  0,  7374,   11,  1,  4971,   // 10, 0 
+ 10,  1, 48314,   10,  2,  6104,   11,  1,  6613,   11,  2,  4505,   // 10, 1 
+ 10,  2, 50165,   10,  3,  5508,   11,  2,  5842,   11,  3,  4021,   // 10, 2 
+ 10,  3, 52066,   10,  4,  4879,   11,  3,  5069,   11,  4,  3522,   // 10, 3 
+ 10,  4, 53973,   10,  5,  4230,   11,  4,  4309,   11,  5,  3024,   // 10, 4 
+ 10,  5, 55798,   10,  6,  3598,   11,  5,  3595,   11,  6,  2545,   // 10, 5 
+ 10,  6, 57354,   10,  7,  3051,   11,  6,  2993,   11,  7,  2138,   // 10, 6 
+ 10,  7, 58324,   10,  8,  2714,   11,  7,  2615,   11,  8,  1883,   // 10, 7 
+  9,  8,  2616,    9,  9,  1884,   10,  8, 58322,   10,  9,  2714,   // 10, 8 
+  9,  9,  2995,    9, 10,  2138,   10,  9, 57353,   10, 10,  3050,   // 10, 9 
+  9, 10,  3598,    9, 11,  2546,   10, 10, 55798,   10, 11,  3594,   // 10,10 
+  9, 11,  4313,    9, 12,  3023,   10, 11, 53975,   10, 12,  4225,   // 10,11 
+  9, 12,  5073,    9, 13,  3522,   10, 12, 52069,   10, 13,  4872,   // 10,12 
+  9, 13,  5848,    9, 14,  4019,   10, 13, 50171,   10, 14,  5498,   // 10,13 
+  9, 14,  6620,    9, 15,  4502,   10, 14, 48322,   10, 15,  6092,   // 10,14 
+  9, 15,  7383,    9, 16,  4967,   10, 15, 46541,   10, 16,  6645,   // 10,15 
+ 11,  0, 45791,   11,  1,  6986,   12,  0,  7587,   12,  1,  5172,   // 11, 0 
+ 11,  1, 47453,   11,  2,  6472,   12,  1,  6875,   12,  2,  4736,   // 11, 1 
+ 11,  2, 49147,   11,  3,  5930,   12,  2,  6168,   12,  3,  4291,   // 11, 2 
+ 11,  3, 50843,   11,  4,  5373,   12,  3,  5474,   12,  4,  3846,   // 11, 3 
+ 11,  4, 52484,   11,  5,  4822,   12,  4,  4816,   12,  5,  3414,   // 11, 4 
+ 11,  5, 53975,   11,  6,  4313,   12,  5,  4226,   12,  6,  3022,   // 11, 5 
+ 11,  6, 55166,   11,  7,  3904,   12,  6,  3755,   12,  7,  2711,   // 11, 6 
+ 11,  7, 55870,   11,  8,  3672,   12,  7,  3469,   12,  8,  2525,   // 11, 7 
+ 10,  8,  3473,   10,  9,  2525,   11,  8, 55867,   11,  9,  3671,   // 11, 8 
+ 10,  9,  3759,   10, 10,  2711,   11,  9, 55164,   11, 10,  3902,   // 11, 9 
+ 10, 10,  4230,   10, 11,  3023,   11, 10, 53973,   11, 11,  4310,   // 11,10 
+ 10, 11,  4822,   10, 12,  3415,   11, 11, 52484,   11, 12,  4815,   // 11,11 
+ 10, 12,  5481,   10, 13,  3845,   11, 12, 50844,   11, 13,  5366,   // 11,12 
+ 10, 13,  6176,   10, 14,  4290,   11, 13, 49150,   11, 14,  5920,   // 11,13 
+ 10, 14,  6886,   10, 15,  4734,   11, 14, 47458,   11, 15,  6458,   // 11,14 
+ 10, 15,  7599,   10, 16,  5169,   11, 15, 45799,   11, 16,  6969,   // 11,15 
+ 12,  0, 44901,   12,  1,  7374,   13,  0,  7848,   13,  1,  5413,   // 12, 0 
+ 12,  1, 46427,   12,  2,  6908,   13,  1,  7191,   13,  2,  5010,   // 12, 1 
+ 12,  2, 47953,   12,  3,  6426,   13,  2,  6549,   13,  3,  4608,   // 12, 2 
+ 12,  3, 49445,   12,  4,  5943,   13,  3,  5934,   13,  4,  4214,   // 12, 3 
+ 12,  4, 50844,   12,  5,  5481,   13,  4,  5365,   13,  5,  3846,   // 12, 4 
+ 12,  5, 52069,   12,  6,  5073,   13,  5,  4872,   13,  6,  3522,   // 12, 5 
+ 12,  6, 53012,   12,  7,  4762,   13,  6,  4489,   13,  7,  3273,   // 12, 6 
+ 12,  7, 53562,   12,  8,  4594,   13,  7,  4254,   13,  8,  3126,   // 12, 7 
+ 11,  8,  4259,   11,  9,  3128,   12,  8, 53557,   12,  9,  4592,   // 12, 8 
+ 11,  9,  4495,   11, 10,  3274,   12,  9, 53008,   12, 10,  4759,   // 12, 9 
+ 11, 10,  4879,   11, 11,  3523,   12, 10, 52066,   12, 11,  5068,   // 12,10 
+ 11, 11,  5373,   11, 12,  3846,   12, 11, 50843,   12, 12,  5474,   // 12,11 
+ 11, 12,  5943,   11, 13,  4214,   12, 12, 49445,   12, 13,  5934,   // 12,12 
+ 11, 13,  6560,   11, 14,  4607,   12, 13, 47955,   12, 14,  6414,   // 12,13 
+ 11, 14,  7204,   11, 15,  5009,   12, 14, 46430,   12, 15,  6893,   // 12,14 
+ 11, 15,  7863,   11, 16,  5410,   12, 15, 44907,   12, 16,  7356,   // 12,15 
+ 13,  0, 43900,   13,  1,  7812,   14,  0,  8141,   14,  1,  5683,   // 13, 0 
+ 13,  1, 45286,   13,  2,  7395,   14,  1,  7539,   14,  2,  5316,   // 13, 1 
+ 13,  2, 46650,   13,  3,  6973,   14,  2,  6959,   14,  3,  4954,   // 13, 2 
+ 13,  3, 47955,   13,  4,  6560,   14,  3,  6414,   14,  4,  4607,   // 13, 3 
+ 13,  4, 49150,   13,  5,  6176,   14,  4,  5920,   14,  5,  4290,   // 13, 4 
+ 13,  5, 50171,   13,  6,  5848,   14,  5,  5499,   14,  6,  4018,   // 13, 5 
+ 13,  6, 50942,   13,  7,  5606,   14,  6,  5175,   14,  7,  3813,   // 13, 6 
+ 13,  7, 51395,   13,  8,  5480,   14,  7,  4970,   14,  8,  3691,   // 13, 7 
+ 12,  8,  4978,   12,  9,  3693,   13,  8, 51387,   13,  9,  5478,   // 13, 8 
+ 12,  9,  5184,   12, 10,  3815,   13,  9, 50935,   13, 10,  5602,   // 13, 9 
+ 12, 10,  5508,   12, 11,  4020,   13, 10, 50165,   13, 11,  5843,   // 13,10 
+ 12, 11,  5930,   12, 12,  4291,   13, 11, 49147,   13, 12,  6168,   // 13,11 
+ 12, 12,  6426,   12, 13,  4608,   13, 12, 47953,   13, 13,  6549,   // 13,12 
+ 12, 13,  6973,   12, 14,  4954,   13, 13, 46650,   13, 14,  6959,   // 13,13 
+ 12, 14,  7555,   12, 15,  5315,   13, 14, 45288,   13, 15,  7378,   // 13,14 
+ 12, 15,  8159,   12, 16,  5682,   13, 15, 43904,   13, 16,  7791,   // 13,15 
+ 14,  0, 42821,   14,  1,  8288,   15,  0,  8452,   15,  1,  5975,   // 14, 0 
+ 14,  1, 44074,   14,  2,  7921,   15,  1,  7901,   15,  2,  5640,   // 14, 1 
+ 14,  2, 45288,   14,  3,  7555,   15,  2,  7378,   15,  3,  5315,   // 14, 2 
+ 14,  3, 46430,   14,  4,  7204,   15,  3,  6892,   15,  4,  5010,   // 14, 3 
+ 14,  4, 47458,   14,  5,  6886,   15,  4,  6458,   15,  5,  4734,   // 14, 4 
+ 14,  5, 48322,   14,  6,  6620,   15,  5,  6092,   15,  6,  4502,   // 14, 5 
+ 14,  6, 48969,   14,  7,  6430,   15,  6,  5809,   15,  7,  4328,   // 14, 6 
+ 14,  7, 49358,   14,  8,  6335,   15,  7,  5623,   15,  8,  4220,   // 14, 7 
+ 13,  8,  5633,   13,  9,  4224,   14,  8, 49347,   14,  9,  6332,   // 14, 8 
+ 13,  9,  5820,   13, 10,  4330,   14,  9, 48960,   14, 10,  6426,   // 14, 9 
+ 13, 10,  6104,   13, 11,  4505,   14, 10, 48314,   14, 11,  6613,   // 14,10 
+ 13, 11,  6472,   13, 12,  4736,   14, 11, 47453,   14, 12,  6875,   // 14,11 
+ 13, 12,  6908,   13, 13,  5011,   14, 12, 46427,   14, 13,  7190,   // 14,12 
+ 13, 13,  7395,   13, 14,  5316,   14, 13, 45286,   14, 14,  7539,   // 14,13 
+ 13, 14,  7921,   13, 15,  5640,   14, 14, 44074,   14, 15,  7901,   // 14,14 
+ 13, 15,  8474,   13, 16,  5974,   14, 15, 42823,   14, 16,  8265,   // 14,15 
+ 15,  0, 41693,   15,  1,  8795,   16,  0,  8769,   16,  1,  6279,   // 15, 0 
+ 15,  1, 42823,   15,  2,  8474,   16,  1,  8265,   16,  2,  5974,   // 15, 1 
+ 15,  2, 43904,   15,  3,  8159,   16,  2,  7791,   16,  3,  5682,   // 15, 2 
+ 15,  3, 44907,   15,  4,  7863,   16,  3,  7356,   16,  4,  5410,   // 15, 3 
+ 15,  4, 45799,   15,  5,  7599,   16,  4,  6970,   16,  5,  5168,   // 15, 4 
+ 15,  5, 46541,   15,  6,  7383,   16,  5,  6644,   16,  6,  4968,   // 15, 5 
+ 15,  6, 47098,   15,  7,  7233,   16,  6,  6391,   16,  7,  4814,   // 15, 6 
+ 15,  7, 47440,   15,  8,  7161,   16,  7,  6217,   16,  8,  4718,   // 15, 7 
+ 14,  8,  6230,   14,  9,  4722,   15,  8, 47426,   15,  9,  7158,   // 15, 8 
+ 14,  9,  6405,   14, 10,  4818,   15,  9, 47086,   15, 10,  7227,   // 15, 9 
+ 14, 10,  6659,   14, 11,  4971,   15, 10, 46532,   15, 11,  7374,   // 15,10 
+ 14, 11,  6986,   14, 12,  5172,   15, 11, 45791,   15, 12,  7587,   // 15,11 
+ 14, 12,  7374,   14, 13,  5413,   15, 12, 44901,   15, 13,  7848,   // 15,12 
+ 14, 13,  7812,   14, 14,  5684,   15, 13, 43900,   15, 14,  8140,   // 15,13 
+ 14, 14,  8288,   14, 15,  5975,   15, 14, 42821,   15, 15,  8452,   // 15,14 
+ 14, 15,  8795,   14, 16,  6280,   15, 15, 41693,   15, 16,  8768,   // 15,15 
+ // angle of 1.5 degrees
+  0, -1, 11440,    0,  0, 34212,    1, -1,  8358,    1,  0, 11526,   //  0, 0 
+  0,  0, 11192,    0,  1, 35502,    1,  0,  7987,    1,  1, 10855,   //  0, 1 
+  0,  1, 10930,    0,  2, 36756,    1,  1,  7626,    1,  2, 10224,   //  0, 2 
+  0,  2, 10670,    0,  3, 37939,    1,  2,  7285,    1,  3,  9642,   //  0, 3 
+  0,  3, 10430,    0,  4, 39009,    1,  3,  6975,    1,  4,  9122,   //  0, 4 
+  0,  4, 10232,    0,  5, 39918,    1,  4,  6710,    1,  5,  8676,   //  0, 5 
+  0,  5, 10100,    0,  6, 40618,    1,  5,  6502,    1,  6,  8316,   //  0, 6 
+  0,  6, 10052,    0,  7, 41072,    1,  6,  6360,    1,  7,  8052,   //  0, 7 
+ -1,  7,  6346,   -1,  8,  8018,    0,  7, 10066,    0,  8, 41106,   //  0, 8 
+ -1,  8,  6489,   -1,  9,  8278,    0,  8, 10123,    0,  9, 40646,   //  0, 9 
+ -1,  9,  6699,   -1, 10,  8632,    0,  9, 10265,    0, 10, 39940,   //  0,10 
+ -1, 10,  6965,   -1, 11,  9072,    0, 10, 10473,    0, 11, 39026,   //  0,11 
+ -1, 11,  7276,   -1, 12,  9585,    0, 11, 10723,    0, 12, 37952,   //  0,12 
+ -1, 12,  7620,   -1, 13, 10158,    0, 12, 10994,    0, 13, 36764,   //  0,13 
+ -1, 13,  7983,   -1, 14, 10780,    0, 13, 11267,    0, 14, 35506,   //  0,14 
+ -1, 14,  8358,   -1, 15, 11440,    0, 14, 11526,    0, 15, 34212,   //  0,15 
+  1, -1, 10780,    1,  0, 35506,    2, -1,  7983,    2,  0, 11267,   //  1, 0 
+  1,  0, 10467,    1,  1, 36959,    2,  0,  7579,    2,  1, 10531,   //  1, 1 
+  1,  1, 10133,    1,  2, 38390,    2,  1,  7179,    2,  2,  9834,   //  1, 2 
+  1,  2,  9796,    1,  3, 39759,    2,  2,  6797,    2,  3,  9184,   //  1, 3 
+  1,  3,  9478,    1,  4, 41013,    2,  3,  6447,    2,  4,  8598,   //  1, 4 
+  1,  4,  9206,    1,  5, 42087,    2,  4,  6145,    2,  5,  8098,   //  1, 5 
+  1,  5,  9014,    1,  6, 42913,    2,  5,  5910,    2,  6,  7699,   //  1, 6 
+  1,  6,  8929,    1,  7, 43433,    2,  6,  5756,    2,  7,  7418,   //  1, 7 
+  0,  7,  5745,    0,  8,  7390,    1,  7,  8939,    1,  8, 43462,   //  1, 8 
+  0,  8,  5900,    0,  9,  7667,    1,  8,  9032,    1,  9, 42937,   //  1, 9 
+  0,  9,  6137,    0, 10,  8061,    1,  9,  9233,    1, 10, 42105,   //  1,10 
+  0, 10,  6440,    0, 11,  8557,    1, 10,  9513,    1, 11, 41026,   //  1,11 
+  0, 11,  6792,    0, 12,  9135,    1, 11,  9841,    1, 12, 39768,   //  1,12 
+  0, 12,  7177,    0, 13,  9777,    1, 12, 10188,    1, 13, 38394,   //  1,13 
+  0, 13,  7579,    0, 14, 10467,    1, 13, 10532,    1, 14, 36958,   //  1,14 
+  0, 14,  7987,    0, 15, 11192,    1, 14, 10855,    1, 15, 35502,   //  1,15 
+  2, -1, 10158,    2,  0, 36764,    3, -1,  7620,    3,  0, 10994,   //  2, 0 
+  2,  0,  9777,    2,  1, 38394,    3,  0,  7177,    3,  1, 10188,   //  2, 1 
+  2,  1,  9366,    2,  2, 40025,    3,  1,  6732,    3,  2,  9413,   //  2, 2 
+  2,  2,  8941,    2,  3, 41614,    3,  2,  6299,    3,  3,  8682,   //  2, 3 
+  2,  3,  8530,    2,  4, 43096,    3,  3,  5895,    3,  4,  8015,   //  2, 4 
+  2,  4,  8167,    2,  5, 44386,    3,  4,  5543,    3,  5,  7440,   //  2, 5 
+  2,  5,  7899,    2,  6, 45383,    3,  5,  5268,    3,  6,  6986,   //  2, 6 
+  2,  6,  7766,    2,  7, 45995,    3,  6,  5095,    3,  7,  6680,   //  2, 7 
+  1,  7,  5087,    1,  8,  6658,    2,  7,  7773,    2,  8, 46018,   //  2, 8 
+  1,  8,  5261,    1,  9,  6961,    2,  8,  7913,    2,  9, 45401,   //  2, 9 
+  1,  9,  5537,    1, 10,  7411,    2,  9,  8189,    2, 10, 44399,   //  2,10 
+  1, 10,  5891,    1, 11,  7981,    2, 10,  8559,    2, 11, 43105,   //  2,11 
+  1, 11,  6297,    1, 12,  8641,    2, 11,  8979,    2, 12, 41619,   //  2,12 
+  1, 12,  6732,    1, 13,  9366,    2, 12,  9413,    2, 13, 40025,   //  2,13 
+  1, 13,  7179,    1, 14, 10133,    2, 13,  9834,    2, 14, 38390,   //  2,14 
+  1, 14,  7626,    1, 15, 10930,    2, 14, 10224,    2, 15, 36756,   //  2,15 
+  3, -1,  9585,    3,  0, 37951,    4, -1,  7276,    4,  0, 10724,   //  3, 0 
+  3,  0,  9135,    3,  1, 39767,    4,  0,  6792,    4,  1,  9842,   //  3, 1 
+  3,  1,  8641,    3,  2, 41618,    4,  1,  6297,    4,  2,  8980,   //  3, 2 
+  3,  2,  8120,    3,  3, 43461,    4,  2,  5804,    4,  3,  8151,   //  3, 3 
+  3,  3,  7598,    3,  4, 45224,    4,  3,  5331,    4,  4,  7383,   //  3, 4 
+  3,  4,  7121,    3,  5, 46798,    4,  4,  4909,    4,  5,  6708,   //  3, 5 
+  3,  5,  6750,    3,  6, 48037,    4,  5,  4576,    4,  6,  6173,   //  3, 6 
+  3,  6,  6552,    3,  7, 48785,    4,  6,  4372,    4,  7,  5827,   //  3, 7 
+  2,  7,  4366,    2,  8,  5811,    3,  7,  6558,    3,  8, 48801,   //  3, 8 
+  2,  8,  4572,    2,  9,  6154,    3,  8,  6761,    3,  9, 48049,   //  3, 9 
+  2,  9,  4906,    2, 10,  6685,    3,  9,  7138,    3, 10, 46807,   //  3,10 
+  2, 10,  5330,    2, 11,  7356,    3, 10,  7622,    3, 11, 45228,   //  3,11 
+  2, 11,  5804,    2, 12,  8120,    3, 11,  8151,    3, 12, 43461,   //  3,12 
+  2, 12,  6299,    2, 13,  8941,    3, 12,  8681,    3, 13, 41615,   //  3,13 
+  2, 13,  6797,    2, 14,  9796,    3, 13,  9184,    3, 14, 39759,   //  3,14 
+  2, 14,  7285,    2, 15, 10670,    3, 14,  9642,    3, 15, 37939,   //  3,15 
+  4, -1,  9072,    4,  0, 39026,    5, -1,  6965,    5,  0, 10473,   //  4, 0 
+  4,  0,  8557,    4,  1, 41026,    5,  0,  6440,    5,  1,  9513,   //  4, 1 
+  4,  1,  7981,    4,  2, 43105,    5,  1,  5891,    5,  2,  8559,   //  4, 2 
+  4,  2,  7356,    4,  3, 45229,    5,  2,  5330,    5,  3,  7621,   //  4, 3 
+  4,  3,  6708,    4,  4, 47328,    5,  3,  4774,    5,  4,  6726,   //  4, 4 
+  4,  4,  6086,    4,  5, 49275,    5,  4,  4258,    5,  5,  5917,   //  4, 5 
+  4,  5,  5573,    4,  6, 50865,    5,  5,  3837,    5,  6,  5261,   //  4, 6 
+  4,  6,  5280,    4,  7, 51832,    5,  6,  3579,    5,  7,  4845,   //  4, 7 
+  3,  7,  3575,    3,  8,  4835,    4,  7,  5283,    4,  8, 51843,   //  4, 8 
+  3,  8,  3834,    3,  9,  5248,    4,  8,  5581,    4,  9, 50873,   //  4, 9 
+  3,  9,  4257,    3, 10,  5901,    4,  9,  6099,    4, 10, 49279,   //  4,10 
+  3, 10,  4774,    3, 11,  6708,    4, 10,  6727,    4, 11, 47327,   //  4,11 
+  3, 11,  5331,    3, 12,  7598,    4, 11,  7382,    4, 12, 45225,   //  4,12 
+  3, 12,  5895,    3, 13,  8530,    4, 12,  8015,    4, 13, 43096,   //  4,13 
+  3, 13,  6447,    3, 14,  9478,    4, 13,  8599,    4, 14, 41012,   //  4,14 
+  3, 14,  6975,    3, 15, 10430,    4, 14,  9122,    4, 15, 39009,   //  4,15 
+  5, -1,  8632,    5,  0, 39940,    6, -1,  6699,    6,  0, 10265,   //  5, 0 
+  5,  0,  8061,    5,  1, 42105,    6,  0,  6137,    6,  1,  9233,   //  5, 1 
+  5,  1,  7411,    5,  2, 44399,    6,  1,  5537,    6,  2,  8189,   //  5, 2 
+  5,  2,  6685,    5,  3, 46806,    6,  2,  4906,    6,  3,  7139,   //  5, 3 
+  5,  3,  5901,    5,  4, 49279,    6,  3,  4257,    6,  4,  6099,   //  5, 4 
+  5,  4,  5103,    5,  5, 51700,    6,  4,  3621,    6,  5,  5112,   //  5, 5 
+  5,  5,  4388,    5,  6, 53813,    6,  5,  3065,    6,  6,  4270,   //  5, 6 
+  5,  6,  3938,    5,  7, 55162,    6,  6,  2710,    6,  7,  3726,   //  5, 7 
+  4,  7,  2708,    4,  8,  3720,    5,  7,  3940,    5,  8, 55168,   //  5, 8 
+  4,  8,  3064,    4,  9,  4262,    5,  8,  4394,    5,  9, 53816,   //  5, 9 
+  4,  9,  3621,    4, 10,  5103,    5,  9,  5113,    5, 10, 51699,   //  5,10 
+  4, 10,  4258,    4, 11,  6086,    5, 10,  5917,    5, 11, 49275,   //  5,11 
+  4, 11,  4909,    4, 12,  7121,    5, 11,  6707,    5, 12, 46799,   //  5,12 
+  4, 12,  5543,    4, 13,  8167,    5, 12,  7440,    5, 13, 44386,   //  5,13 
+  4, 13,  6145,    4, 14,  9206,    5, 13,  8098,    5, 14, 42087,   //  5,14 
+  4, 14,  6710,    4, 15, 10232,    5, 14,  8676,    5, 15, 39918,   //  5,15 
+  6, -1,  8278,    6,  0, 40646,    7, -1,  6489,    7,  0, 10123,   //  6, 0 
+  6,  0,  7667,    6,  1, 42936,    7,  0,  5900,    7,  1,  9033,   //  6, 1 
+  6,  1,  6961,    6,  2, 45401,    7,  1,  5261,    7,  2,  7913,   //  6, 2 
+  6,  2,  6154,    6,  3, 48049,    7,  2,  4572,    7,  3,  6761,   //  6, 3 
+  6,  3,  5248,    6,  4, 50873,    7,  3,  3834,    7,  4,  5581,   //  6, 4 
+  6,  4,  4262,    6,  5, 53816,    7,  4,  3064,    7,  5,  4394,   //  6, 5 
+  6,  5,  3271,    6,  6, 56673,    7,  5,  2316,    7,  6,  3276,   //  6, 6 
+  6,  6,  2532,    6,  7, 58773,    7,  6,  1767,    7,  7,  2464,   //  6, 7 
+  5,  7,  1766,    5,  8,  2462,    6,  7,  2533,    6,  8, 58775,   //  6, 8 
+  5,  8,  2316,    5,  9,  3271,    6,  8,  3275,    6,  9, 56674,   //  6, 9 
+  5,  9,  3065,    5, 10,  4388,    6,  9,  4269,    6, 10, 53814,   //  6,10 
+  5, 10,  3837,    5, 11,  5573,    6, 10,  5261,    6, 11, 50865,   //  6,11 
+  5, 11,  4576,    5, 12,  6750,    6, 11,  6173,    6, 12, 48037,   //  6,12 
+  5, 12,  5268,    5, 13,  7899,    6, 12,  6986,    6, 13, 45383,   //  6,13 
+  5, 13,  5910,    5, 14,  9014,    6, 13,  7699,    6, 14, 42913,   //  6,14 
+  5, 14,  6502,    5, 15, 10100,    6, 14,  8316,    6, 15, 40618,   //  6,15 
+  7, -1,  8018,    7,  0, 41106,    8, -1,  6346,    8,  0, 10066,   //  7, 0 
+  7,  0,  7390,    7,  1, 43461,    8,  0,  5745,    8,  1,  8940,   //  7, 1 
+  7,  1,  6658,    7,  2, 46017,    8,  1,  5087,    8,  2,  7774,   //  7, 2 
+  7,  2,  5811,    7,  3, 48801,    8,  2,  4366,    8,  3,  6558,   //  7, 3 
+  7,  3,  4835,    7,  4, 51842,    8,  3,  3575,    8,  4,  5284,   //  7, 4 
+  7,  4,  3720,    7,  5, 55168,    8,  4,  2708,    8,  5,  3940,   //  7, 5 
+  7,  5,  2462,    7,  6, 58775,    8,  5,  1766,    8,  6,  2533,   //  7, 6 
+  7,  6,  1170,    7,  7, 62369,    8,  6,   827,    8,  7,  1170,   //  7, 7 
+  6,  7,   827,    6,  8,  1170,    7,  7,  1170,    7,  8, 62369,   //  7, 8 
+  6,  8,  1767,    6,  9,  2532,    7,  8,  2464,    7,  9, 58773,   //  7, 9 
+  6,  9,  2710,    6, 10,  3938,    7,  9,  3726,    7, 10, 55162,   //  7,10 
+  6, 10,  3579,    6, 11,  5280,    7, 10,  4846,    7, 11, 51831,   //  7,11 
+  6, 11,  4372,    6, 12,  6552,    7, 11,  5827,    7, 12, 48785,   //  7,12 
+  6, 12,  5095,    6, 13,  7766,    7, 12,  6680,    7, 13, 45995,   //  7,13 
+  6, 13,  5756,    6, 14,  8929,    7, 13,  7418,    7, 14, 43433,   //  7,14 
+  6, 14,  6360,    6, 15, 10052,    7, 14,  8052,    7, 15, 41072,   //  7,15 
+  8,  0, 41072,    8,  1,  8052,    9,  0, 10052,    9,  1,  6360,   //  8, 0 
+  8,  1, 43433,    8,  2,  7418,    9,  1,  8929,    9,  2,  5756,   //  8, 1 
+  8,  2, 45995,    8,  3,  6680,    9,  2,  7766,    9,  3,  5095,   //  8, 2 
+  8,  3, 48785,    8,  4,  5827,    9,  3,  6552,    9,  4,  4372,   //  8, 3 
+  8,  4, 51832,    8,  5,  4846,    9,  4,  5280,    9,  5,  3578,   //  8, 4 
+  8,  5, 55162,    8,  6,  3726,    9,  5,  3938,    9,  6,  2710,   //  8, 5 
+  8,  6, 58773,    8,  7,  2464,    9,  6,  2532,    9,  7,  1767,   //  8, 6 
+  8,  7, 62369,    8,  8,  1170,    9,  7,  1170,    9,  8,   827,   //  8, 7 
+  7,  8,  1170,    7,  9,   827,    8,  8, 62369,    8,  9,  1170,   //  8, 8 
+  7,  9,  2533,    7, 10,  1766,    8,  9, 58775,    8, 10,  2462,   //  8, 9 
+  7, 10,  3940,    7, 11,  2708,    8, 10, 55168,    8, 11,  3720,   //  8,10 
+  7, 11,  5283,    7, 12,  3575,    8, 11, 51842,    8, 12,  4836,   //  8,11 
+  7, 12,  6558,    7, 13,  4366,    8, 12, 48801,    8, 13,  5811,   //  8,12 
+  7, 13,  7773,    7, 14,  5087,    8, 13, 46017,    8, 14,  6659,   //  8,13 
+  7, 14,  8939,    7, 15,  5745,    8, 14, 43461,    8, 15,  7391,   //  8,14 
+  7, 15, 10066,    7, 16,  6346,    8, 15, 41106,    8, 16,  8018,   //  8,15 
+  9,  0, 40618,    9,  1,  8316,   10,  0, 10100,   10,  1,  6502,   //  9, 0 
+  9,  1, 42913,    9,  2,  7699,   10,  1,  9014,   10,  2,  5910,   //  9, 1 
+  9,  2, 45383,    9,  3,  6986,   10,  2,  7899,   10,  3,  5268,   //  9, 2 
+  9,  3, 48037,    9,  4,  6173,   10,  3,  6750,   10,  4,  4576,   //  9, 3 
+  9,  4, 50865,    9,  5,  5261,   10,  4,  5573,   10,  5,  3837,   //  9, 4 
+  9,  5, 53813,    9,  6,  4269,   10,  5,  4388,   10,  6,  3066,   //  9, 5 
+  9,  6, 56673,    9,  7,  3275,   10,  6,  3271,   10,  7,  2317,   //  9, 6 
+  9,  7, 58775,    9,  8,  2533,   10,  7,  2462,   10,  8,  1766,   //  9, 7 
+  8,  8,  2464,    8,  9,  1767,    9,  8, 58773,    9,  9,  2532,   //  9, 8 
+  8,  9,  3275,    8, 10,  2316,    9,  9, 56673,    9, 10,  3272,   //  9, 9 
+  8, 10,  4394,    8, 11,  3064,    9, 10, 53816,    9, 11,  4262,   //  9,10 
+  8, 11,  5581,    8, 12,  3834,    9, 11, 50873,    9, 12,  5248,   //  9,11 
+  8, 12,  6761,    8, 13,  4572,    9, 12, 48049,    9, 13,  6154,   //  9,12 
+  8, 13,  7913,    8, 14,  5261,    9, 13, 45401,    9, 14,  6961,   //  9,13 
+  8, 14,  9032,    8, 15,  5900,    9, 14, 42936,    9, 15,  7668,   //  9,14 
+  8, 15, 10123,    8, 16,  6489,    9, 15, 40646,    9, 16,  8278,   //  9,15 
+ 10,  0, 39918,   10,  1,  8676,   11,  0, 10232,   11,  1,  6710,   // 10, 0 
+ 10,  1, 42087,   10,  2,  8098,   11,  1,  9206,   11,  2,  6145,   // 10, 1 
+ 10,  2, 44386,   10,  3,  7440,   11,  2,  8167,   11,  3,  5543,   // 10, 2 
+ 10,  3, 46798,   10,  4,  6707,   11,  3,  7121,   11,  4,  4910,   // 10, 3 
+ 10,  4, 49275,   10,  5,  5917,   11,  4,  6086,   11,  5,  4258,   // 10, 4 
+ 10,  5, 51700,   10,  6,  5113,   11,  5,  5103,   11,  6,  3620,   // 10, 5 
+ 10,  6, 53816,   10,  7,  4394,   11,  6,  4262,   11,  7,  3064,   // 10, 6 
+ 10,  7, 55168,   10,  8,  3940,   11,  7,  3720,   11,  8,  2708,   // 10, 7 
+  9,  8,  3726,    9,  9,  2710,   10,  8, 55162,   10,  9,  3938,   // 10, 8 
+  9,  9,  4269,    9, 10,  3065,   10,  9, 53813,   10, 10,  4389,   // 10, 9 
+  9, 10,  5113,    9, 11,  3621,   10, 10, 51700,   10, 11,  5102,   // 10,10 
+  9, 11,  6099,    9, 12,  4257,   10, 11, 49279,   10, 12,  5901,   // 10,11 
+  9, 12,  7138,    9, 13,  4906,   10, 12, 46806,   10, 13,  6686,   // 10,12 
+  9, 13,  8189,    9, 14,  5537,   10, 13, 44399,   10, 14,  7411,   // 10,13 
+  9, 14,  9233,    9, 15,  6137,   10, 14, 42105,   10, 15,  8061,   // 10,14 
+  9, 15, 10265,    9, 16,  6699,   10, 15, 39940,   10, 16,  8632,   // 10,15 
+ 11,  0, 39009,   11,  1,  9122,   12,  0, 10430,   12,  1,  6975,   // 11, 0 
+ 11,  1, 41013,   11,  2,  8599,   12,  1,  9478,   12,  2,  6446,   // 11, 1 
+ 11,  2, 43096,   11,  3,  8015,   12,  2,  8530,   12,  3,  5895,   // 11, 2 
+ 11,  3, 45224,   11,  4,  7382,   12,  3,  7598,   12,  4,  5332,   // 11, 3 
+ 11,  4, 47328,   11,  5,  6727,   12,  4,  6708,   12,  5,  4773,   // 11, 4 
+ 11,  5, 49279,   11,  6,  6099,   12,  5,  5901,   12,  6,  4257,   // 11, 5 
+ 11,  6, 50873,   11,  7,  5581,   12,  6,  5248,   12,  7,  3834,   // 11, 6 
+ 11,  7, 51842,   11,  8,  5283,   12,  7,  4835,   12,  8,  3576,   // 11, 7 
+ 10,  8,  4846,   10,  9,  3579,   11,  8, 51832,   11,  9,  5279,   // 11, 8 
+ 10,  9,  5261,   10, 10,  3837,   11,  9, 50865,   11, 10,  5573,   // 11, 9 
+ 10, 10,  5917,   10, 11,  4258,   11, 10, 49275,   11, 11,  6086,   // 11,10 
+ 10, 11,  6727,   10, 12,  4774,   11, 11, 47328,   11, 12,  6707,   // 11,11 
+ 10, 12,  7622,   10, 13,  5330,   11, 12, 45229,   11, 13,  7355,   // 11,12 
+ 10, 13,  8559,   10, 14,  5891,   11, 13, 43105,   11, 14,  7981,   // 11,13 
+ 10, 14,  9513,   10, 15,  6440,   11, 14, 41026,   11, 15,  8557,   // 11,14 
+ 10, 15, 10473,   10, 16,  6965,   11, 15, 39026,   11, 16,  9072,   // 11,15 
+ 12,  0, 37939,   12,  1,  9642,   13,  0, 10670,   13,  1,  7285,   // 12, 0 
+ 12,  1, 39759,   12,  2,  9184,   13,  1,  9796,   13,  2,  6797,   // 12, 1 
+ 12,  2, 41614,   12,  3,  8681,   13,  2,  8941,   13,  3,  6300,   // 12, 2 
+ 12,  3, 43461,   12,  4,  8151,   13,  3,  8120,   13,  4,  5804,   // 12, 3 
+ 12,  4, 45229,   12,  5,  7622,   13,  4,  7356,   13,  5,  5329,   // 12, 4 
+ 12,  5, 46806,   12,  6,  7138,   13,  5,  6685,   13,  6,  4907,   // 12, 5 
+ 12,  6, 48049,   12,  7,  6761,   13,  6,  6154,   13,  7,  4572,   // 12, 6 
+ 12,  7, 48801,   12,  8,  6558,   13,  7,  5811,   13,  8,  4366,   // 12, 7 
+ 11,  8,  5827,   11,  9,  4372,   12,  8, 48785,   12,  9,  6552,   // 12, 8 
+ 11,  9,  6173,   11, 10,  4576,   12,  9, 48037,   12, 10,  6750,   // 12, 9 
+ 11, 10,  6707,   11, 11,  4909,   12, 10, 46798,   12, 11,  7122,   // 12,10 
+ 11, 11,  7382,   11, 12,  5331,   12, 11, 45224,   12, 12,  7599,   // 12,11 
+ 11, 12,  8151,   11, 13,  5804,   12, 12, 43461,   12, 13,  8120,   // 12,12 
+ 11, 13,  8979,   11, 14,  6297,   12, 13, 41618,   12, 14,  8642,   // 12,13 
+ 11, 14,  9841,   11, 15,  6792,   12, 14, 39767,   12, 15,  9136,   // 12,14 
+ 11, 15, 10723,   11, 16,  7276,   12, 15, 37951,   12, 16,  9586,   // 12,15 
+ 13,  0, 36756,   13,  1, 10224,   14,  0, 10930,   14,  1,  7626,   // 13, 0 
+ 13,  1, 38390,   13,  2,  9834,   14,  1, 10133,   14,  2,  7179,   // 13, 1 
+ 13,  2, 40025,   13,  3,  9413,   14,  2,  9366,   14,  3,  6732,   // 13, 2 
+ 13,  3, 41618,   13,  4,  8979,   14,  3,  8641,   14,  4,  6298,   // 13, 3 
+ 13,  4, 43105,   13,  5,  8559,   14,  4,  7981,   14,  5,  5891,   // 13, 4 
+ 13,  5, 44399,   13,  6,  8189,   14,  5,  7411,   14,  6,  5537,   // 13, 5 
+ 13,  6, 45401,   13,  7,  7913,   14,  6,  6961,   14,  7,  5261,   // 13, 6 
+ 13,  7, 46017,   13,  8,  7773,   14,  7,  6658,   14,  8,  5088,   // 13, 7 
+ 12,  8,  6680,   12,  9,  5095,   13,  8, 45995,   13,  9,  7766,   // 13, 8 
+ 12,  9,  6986,   12, 10,  5268,   13,  9, 45383,   13, 10,  7899,   // 13, 9 
+ 12, 10,  7440,   12, 11,  5543,   13, 10, 44386,   13, 11,  8167,   // 13,10 
+ 12, 11,  8015,   12, 12,  5895,   13, 11, 43096,   13, 12,  8530,   // 13,11 
+ 12, 12,  8681,   12, 13,  6299,   13, 12, 41614,   13, 13,  8942,   // 13,12 
+ 12, 13,  9413,   12, 14,  6732,   13, 13, 40025,   13, 14,  9366,   // 13,13 
+ 12, 14, 10188,   12, 15,  7177,   13, 14, 38394,   13, 15,  9777,   // 13,14 
+ 12, 15, 10994,   12, 16,  7620,   13, 15, 36764,   13, 16, 10158,   // 13,15 
+ 14,  0, 35502,   14,  1, 10855,   15,  0, 11192,   15,  1,  7987,   // 14, 0 
+ 14,  1, 36959,   14,  2, 10532,   15,  1, 10467,   15,  2,  7578,   // 14, 1 
+ 14,  2, 38394,   14,  3, 10188,   15,  2,  9777,   15,  3,  7177,   // 14, 2 
+ 14,  3, 39767,   14,  4,  9841,   15,  3,  9135,   15,  4,  6793,   // 14, 3 
+ 14,  4, 41026,   14,  5,  9513,   15,  4,  8557,   15,  5,  6440,   // 14, 4 
+ 14,  5, 42105,   14,  6,  9233,   15,  5,  8061,   15,  6,  6137,   // 14, 5 
+ 14,  6, 42936,   14,  7,  9032,   15,  6,  7667,   15,  7,  5901,   // 14, 6 
+ 14,  7, 43461,   14,  8,  8939,   15,  7,  7390,   15,  8,  5746,   // 14, 7 
+ 13,  8,  7418,   13,  9,  5756,   14,  8, 43433,   14,  9,  8929,   // 14, 8 
+ 13,  9,  7699,   13, 10,  5910,   14,  9, 42913,   14, 10,  9014,   // 14, 9 
+ 13, 10,  8098,   13, 11,  6145,   14, 10, 42087,   14, 11,  9206,   // 14,10 
+ 13, 11,  8599,   13, 12,  6447,   14, 11, 41013,   14, 12,  9477,   // 14,11 
+ 13, 12,  9184,   13, 13,  6797,   14, 12, 39759,   14, 13,  9796,   // 14,12 
+ 13, 13,  9834,   13, 14,  7179,   14, 13, 38390,   14, 14, 10133,   // 14,13 
+ 13, 14, 10532,   13, 15,  7579,   14, 14, 36959,   14, 15, 10466,   // 14,14 
+ 13, 15, 11267,   13, 16,  7983,   14, 15, 35506,   14, 16, 10780,   // 14,15 
+ 15,  0, 34212,   15,  1, 11526,   16,  0, 11440,   16,  1,  8358,   // 15, 0 
+ 15,  1, 35506,   15,  2, 11267,   16,  1, 10780,   16,  2,  7983,   // 15, 1 
+ 15,  2, 36764,   15,  3, 10994,   16,  2, 10158,   16,  3,  7620,   // 15, 2 
+ 15,  3, 37951,   15,  4, 10723,   16,  3,  9585,   16,  4,  7277,   // 15, 3 
+ 15,  4, 39026,   15,  5, 10473,   16,  4,  9072,   16,  5,  6965,   // 15, 4 
+ 15,  5, 39940,   15,  6, 10265,   16,  5,  8632,   16,  6,  6699,   // 15, 5 
+ 15,  6, 40646,   15,  7, 10123,   16,  6,  8278,   16,  7,  6489,   // 15, 6 
+ 15,  7, 41106,   15,  8, 10066,   16,  7,  8018,   16,  8,  6346,   // 15, 7 
+ 14,  8,  8052,   14,  9,  6360,   15,  8, 41072,   15,  9, 10052,   // 15, 8 
+ 14,  9,  8316,   14, 10,  6502,   15,  9, 40618,   15, 10, 10100,   // 15, 9 
+ 14, 10,  8676,   14, 11,  6710,   15, 10, 39918,   15, 11, 10232,   // 15,10 
+ 14, 11,  9122,   14, 12,  6975,   15, 11, 39009,   15, 12, 10430,   // 15,11 
+ 14, 12,  9642,   14, 13,  7285,   15, 12, 37939,   15, 13, 10670,   // 15,12 
+ 14, 13, 10224,   14, 14,  7626,   15, 13, 36756,   15, 14, 10930,   // 15,13 
+ 14, 14, 10855,   14, 15,  7987,   15, 14, 35502,   15, 15, 11192,   // 15,14 
+ 14, 15, 11526,   14, 16,  8358,   15, 15, 34212,   15, 16, 11440,   // 15,15 
+ // angle of 2.0 degrees
+  0, -1, 13368,    0,  0, 28495,    1, -1, 10104,    1,  0, 13569,   //  0, 0 
+  0,  0, 13291,    0,  1, 29828,    1,  0,  9671,    1,  1, 12746,   //  0, 1 
+  0,  1, 13176,    0,  2, 31138,    1,  1,  9245,    1,  2, 11977,   //  0, 2 
+  0,  2, 13038,    0,  3, 32391,    1,  2,  8838,    1,  3, 11269,   //  0, 3 
+  0,  3, 12899,    0,  4, 33539,    1,  3,  8463,    1,  4, 10635,   //  0, 4 
+  0,  4, 12783,    0,  5, 34532,    1,  4,  8135,    1,  5, 10086,   //  0, 5 
+  0,  5, 12717,    0,  6, 35315,    1,  5,  7868,    1,  6,  9636,   //  0, 6 
+  0,  6, 12728,    0,  7, 35844,    1,  6,  7674,    1,  7,  9290,   //  0, 7 
+ -1,  7,  7643,   -1,  8,  9224,    0,  7, 12764,    0,  8, 35905,   //  0, 8 
+ -1,  8,  7839,   -1,  9,  9558,    0,  8, 12777,    0,  9, 35362,   //  0, 9 
+ -1,  9,  8107,   -1, 10,  9995,    0,  9, 12867,    0, 10, 34567,   //  0,10 
+ -1, 10,  8438,   -1, 11, 10528,    0, 10, 13007,    0, 11, 33563,   //  0,11 
+ -1, 11,  8816,   -1, 12, 11143,    0, 11, 13171,    0, 12, 32406,   //  0,12 
+ -1, 12,  9229,   -1, 13, 11829,    0, 12, 13332,    0, 13, 31146,   //  0,13 
+ -1, 13,  9662,   -1, 14, 12574,    0, 13, 13470,    0, 14, 29830,   //  0,14 
+ -1, 14, 10104,   -1, 15, 13368,    0, 14, 13569,    0, 15, 28495,   //  0,15 
+  1, -1, 12574,    1,  0, 29831,    2, -1,  9662,    2,  0, 13469,   //  1, 0 
+  1,  0, 12412,    1,  1, 31358,    2,  0,  9202,    2,  1, 12564,   //  1, 1 
+  1,  1, 12203,    1,  2, 32881,    2,  1,  8742,    2,  2, 11710,   //  1, 2 
+  1,  2, 11964,    1,  3, 34358,    2,  2,  8296,    2,  3, 10918,   //  1, 3 
+  1,  3, 11721,    1,  4, 35730,    2,  3,  7881,    2,  4, 10204,   //  1, 4 
+  1,  4, 11507,    1,  5, 36926,    2,  4,  7517,    2,  5,  9586,   //  1, 5 
+  1,  5, 11360,    1,  6, 37866,    2,  5,  7224,    2,  6,  9086,   //  1, 6 
+  1,  6, 11317,    1,  7, 38481,    2,  6,  7020,    2,  7,  8718,   //  1, 7 
+  0,  7,  6997,    0,  8,  8662,    1,  7, 11344,    1,  8, 38533,   //  1, 8 
+  0,  8,  7202,    0,  9,  9020,    1,  8, 11407,    1,  9, 37907,   //  1, 9 
+  0,  9,  7497,    0, 10,  9509,    1,  9, 11575,    1, 10, 36955,   //  1,10 
+  0, 10,  7865,    0, 11, 10111,    1, 10, 11810,    1, 11, 35750,   //  1,11 
+  0, 11,  8284,    0, 12, 10808,    1, 11, 12074,    1, 12, 34370,   //  1,12 
+  0, 12,  8735,    0, 13, 11580,    1, 12, 12334,    1, 13, 32887,   //  1,13 
+  0, 13,  9202,    0, 14, 12412,    1, 13, 12564,    1, 14, 31358,   //  1,14 
+  0, 14,  9671,    0, 15, 13291,    1, 14, 12746,    1, 15, 29828,   //  1,15 
+  2, -1, 11829,    2,  0, 31146,    3, -1,  9229,    3,  0, 13332,   //  2, 0 
+  2,  0, 11580,    2,  1, 32886,    3,  0,  8735,    3,  1, 12335,   //  2, 1 
+  2,  1, 11272,    2,  2, 34650,    3,  1,  8232,    3,  2, 11382,   //  2, 2 
+  2,  2, 10922,    2,  3, 36392,    3,  2,  7734,    3,  3, 10488,   //  2, 3 
+  2,  3, 10559,    2,  4, 38042,    3,  3,  7261,    3,  4,  9674,   //  2, 4 
+  2,  4, 10226,    2,  5, 39503,    3,  4,  6842,    3,  5,  8965,   //  2, 5 
+  2,  5,  9977,    2,  6, 40656,    3,  5,  6506,    3,  6,  8397,   //  2, 6 
+  2,  6,  9867,    2,  7, 41389,    3,  6,  6284,    3,  7,  7996,   //  2, 7 
+  1,  7,  6266,    1,  8,  7951,    2,  7,  9886,    2,  8, 41433,   //  2, 8 
+  1,  8,  6491,    1,  9,  8344,    2,  8, 10013,    2,  9, 40688,   //  2, 9 
+  1,  9,  6829,    1, 10,  8902,    2,  9, 10279,    2, 10, 39526,   //  2,10 
+  1, 10,  7252,    1, 11,  9597,    2, 10, 10630,    2, 11, 38057,   //  2,11 
+  1, 11,  7728,    1, 12, 10397,    2, 11, 11012,    2, 12, 36399,   //  2,12 
+  1, 12,  8232,    1, 13, 11272,    2, 12, 11382,    2, 13, 34650,   //  2,13 
+  1, 13,  8742,    1, 14, 12203,    2, 13, 11709,    2, 14, 32882,   //  2,14 
+  1, 14,  9245,    1, 15, 13176,    2, 14, 11977,    2, 15, 31138,   //  2,15 
+  3, -1, 11143,    3,  0, 32406,    4, -1,  8816,    4,  0, 13171,   //  3, 0 
+  3,  0, 10808,    3,  1, 34369,    4,  0,  8284,    4,  1, 12075,   //  3, 1 
+  3,  1, 10397,    3,  2, 36399,    4,  1,  7728,    4,  2, 11012,   //  3, 2 
+  3,  2,  9924,    3,  3, 38450,    4,  2,  7164,    4,  3,  9998,   //  3, 3 
+  3,  3,  9421,    3,  4, 40444,    4,  3,  6615,    4,  4,  9056,   //  3, 4 
+  3,  4,  8940,    3,  5, 42256,    4,  4,  6116,    4,  5,  8224,   //  3, 5 
+  3,  5,  8558,    3,  6, 43710,    4,  5,  5712,    4,  6,  7556,   //  3, 6 
+  3,  6,  8359,    3,  7, 44616,    4,  6,  5454,    4,  7,  7107,   //  3, 7 
+  2,  7,  5443,    2,  8,  7072,    3,  7,  8373,    3,  8, 44648,   //  3, 8 
+  2,  8,  5703,    2,  9,  7516,    3,  8,  8584,    3,  9, 43733,   //  3, 9 
+  2,  9,  6108,    2, 10,  8175,    3,  9,  8982,    3, 10, 42271,   //  3,10 
+  2, 10,  6611,    2, 11,  8995,    3, 10,  9478,    3, 11, 40452,   //  3,11 
+  2, 11,  7164,    2, 12,  9924,    3, 11,  9998,    3, 12, 38450,   //  3,12 
+  2, 12,  7734,    2, 13, 10922,    3, 12, 10488,    3, 13, 36392,   //  3,13 
+  2, 13,  8296,    2, 14, 11964,    3, 13, 10918,    3, 14, 34358,   //  3,14 
+  2, 14,  8838,    2, 15, 13038,    3, 14, 11269,    3, 15, 32391,   //  3,15 
+  4, -1, 10528,    4,  0, 33564,    5, -1,  8438,    5,  0, 13006,   //  4, 0 
+  4,  0, 10111,    4,  1, 35750,    5,  0,  7865,    5,  1, 11810,   //  4, 1 
+  4,  1,  9597,    4,  2, 38057,    5,  1,  7252,    5,  2, 10630,   //  4, 2 
+  4,  2,  8995,    4,  3, 40452,    5,  2,  6611,    5,  3,  9478,   //  4, 3 
+  4,  3,  8332,    4,  4, 42861,    5,  3,  5965,    5,  4,  8378,   //  4, 4 
+  4,  4,  7667,    4,  5, 45139,    5,  4,  5353,    5,  5,  7377,   //  4, 5 
+  4,  5,  7100,    4,  6, 47035,    5,  5,  4843,    5,  6,  6558,   //  4, 6 
+  4,  6,  6774,    4,  7, 48218,    5,  6,  4521,    5,  7,  6023,   //  4, 7 
+  3,  7,  4513,    3,  8,  6000,    4,  7,  6783,    4,  8, 48240,   //  4, 8 
+  3,  8,  4838,    3,  9,  6530,    4,  8,  7119,    4,  9, 47049,   //  4, 9 
+  3,  9,  5350,    3, 10,  7342,    4,  9,  7698,    4, 10, 45146,   //  4,10 
+  3, 10,  5965,    3, 11,  8332,    4, 10,  8378,    4, 11, 42861,   //  4,11 
+  3, 11,  6615,    3, 12,  9421,    4, 11,  9056,    4, 12, 40444,   //  4,12 
+  3, 12,  7261,    3, 13, 10559,    4, 12,  9674,    4, 13, 38042,   //  4,13 
+  3, 13,  7881,    3, 14, 11721,    4, 13, 10204,    4, 14, 35730,   //  4,14 
+  3, 14,  8463,    3, 15, 12899,    4, 14, 10635,    4, 15, 33539,   //  4,15 
+  5, -1,  9995,    5,  0, 34567,    6, -1,  8107,    6,  0, 12867,   //  5, 0 
+  5,  0,  9509,    5,  1, 36955,    6,  0,  7497,    6,  1, 11575,   //  5, 1 
+  5,  1,  8902,    5,  2, 39526,    6,  1,  6829,    6,  2, 10279,   //  5, 2 
+  5,  2,  8175,    5,  3, 42271,    6,  2,  6108,    6,  3,  8982,   //  5, 3 
+  5,  3,  7342,    5,  4, 45146,    6,  3,  5350,    6,  4,  7698,   //  5, 4 
+  5,  4,  6451,    5,  5, 48019,    6,  4,  4591,    6,  5,  6475,   //  5, 5 
+  5,  5,  5624,    5,  6, 50581,    6,  5,  3913,    6,  6,  5418,   //  5, 6 
+  5,  6,  5092,    5,  7, 52253,    6,  6,  3470,    6,  7,  4721,   //  5, 7 
+  4,  7,  3466,    4,  8,  4708,    5,  7,  5097,    5,  8, 52265,   //  5, 8 
+  4,  8,  3911,    4,  9,  5400,    5,  8,  5637,    5,  9, 50588,   //  5, 9 
+  4,  9,  4591,    4, 10,  6451,    5,  9,  6475,    5, 10, 48019,   //  5,10 
+  4, 10,  5353,    4, 11,  7667,    5, 10,  7377,    5, 11, 45139,   //  5,11 
+  4, 11,  6116,    4, 12,  8940,    5, 11,  8224,    5, 12, 42256,   //  5,12 
+  4, 12,  6842,    4, 13, 10226,    5, 12,  8966,    5, 13, 39502,   //  5,13 
+  4, 13,  7517,    4, 14, 11507,    5, 13,  9587,    5, 14, 36925,   //  5,14 
+  4, 14,  8135,    4, 15, 12783,    5, 14, 10086,    5, 15, 34532,   //  5,15 
+  6, -1,  9558,    6,  0, 35362,    7, -1,  7839,    7,  0, 12777,   //  6, 0 
+  6,  0,  9020,    6,  1, 37906,    7,  0,  7202,    7,  1, 11408,   //  6, 1 
+  6,  1,  8344,    6,  2, 40688,    7,  1,  6491,    7,  2, 10013,   //  6, 2 
+  6,  2,  7516,    6,  3, 43733,    7,  2,  5703,    7,  3,  8584,   //  6, 3 
+  6,  3,  6530,    6,  4, 47049,    7,  3,  4838,    7,  4,  7119,   //  6, 4 
+  6,  4,  5400,    6,  5, 50587,    7,  4,  3911,    7,  5,  5638,   //  6, 5 
+  6,  5,  4217,    6,  6, 54105,    7,  5,  2989,    7,  6,  4225,   //  6, 6 
+  6,  6,  3303,    6,  7, 56751,    7,  6,  2295,    7,  7,  3187,   //  6, 7 
+  5,  7,  2294,    5,  8,  3180,    6,  7,  3306,    6,  8, 56756,   //  6, 8 
+  5,  8,  2989,    5,  9,  4217,    6,  8,  4225,    6,  9, 54105,   //  6, 9 
+  5,  9,  3913,    5, 10,  5624,    6,  9,  5418,    6, 10, 50581,   //  6,10 
+  5, 10,  4843,    5, 11,  7100,    6, 10,  6558,    6, 11, 47035,   //  6,11 
+  5, 11,  5712,    5, 12,  8558,    6, 11,  7556,    6, 12, 43710,   //  6,12 
+  5, 12,  6506,    5, 13,  9977,    6, 12,  8397,    6, 13, 40656,   //  6,13 
+  5, 13,  7224,    5, 14, 11360,    6, 13,  9086,    6, 14, 37866,   //  6,14 
+  5, 14,  7868,    5, 15, 12717,    6, 14,  9635,    6, 15, 35316,   //  6,15 
+  7, -1,  9224,    7,  0, 35905,    8, -1,  7643,    8,  0, 12764,   //  7, 0 
+  7,  0,  8662,    7,  1, 38534,    8,  0,  6997,    8,  1, 11343,   //  7, 1 
+  7,  1,  7951,    7,  2, 41432,    8,  1,  6266,    8,  2,  9887,   //  7, 2 
+  7,  2,  7072,    7,  3, 44649,    8,  2,  5443,    8,  3,  8372,   //  7, 3 
+  7,  3,  6000,    7,  4, 48240,    8,  3,  4513,    8,  4,  6783,   //  7, 4 
+  7,  4,  4708,    7,  5, 52266,    8,  4,  3466,    8,  5,  5096,   //  7, 5 
+  7,  5,  3180,    7,  6, 56756,    8,  5,  2294,    8,  6,  3306,   //  7, 6 
+  7,  6,  1541,    7,  7, 61364,    8,  6,  1090,    8,  7,  1541,   //  7, 7 
+  6,  7,  1090,    6,  8,  1541,    7,  7,  1542,    7,  8, 61363,   //  7, 8 
+  6,  8,  2295,    6,  9,  3303,    7,  8,  3186,    7,  9, 56752,   //  7, 9 
+  6,  9,  3470,    6, 10,  5092,    7,  9,  4721,    7, 10, 52253,   //  7,10 
+  6, 10,  4521,    6, 11,  6774,    7, 10,  6023,    7, 11, 48218,   //  7,11 
+  6, 11,  5454,    6, 12,  8359,    7, 11,  7106,    7, 12, 44617,   //  7,12 
+  6, 12,  6284,    6, 13,  9867,    7, 12,  7996,    7, 13, 41389,   //  7,13 
+  6, 13,  7020,    6, 14, 11317,    7, 13,  8718,    7, 14, 38481,   //  7,14 
+  6, 14,  7674,    6, 15, 12728,    7, 14,  9290,    7, 15, 35844,   //  7,15 
+  8,  0, 35844,    8,  1,  9290,    9,  0, 12728,    9,  1,  7674,   //  8, 0 
+  8,  1, 38481,    8,  2,  8718,    9,  1, 11317,    9,  2,  7020,   //  8, 1 
+  8,  2, 41389,    8,  3,  7996,    9,  2,  9867,    9,  3,  6284,   //  8, 2 
+  8,  3, 44616,    8,  4,  7106,    9,  3,  8359,    9,  4,  5455,   //  8, 3 
+  8,  4, 48218,    8,  5,  6023,    9,  4,  6774,    9,  5,  4521,   //  8, 4 
+  8,  5, 52253,    8,  6,  4721,    9,  5,  5092,    9,  6,  3470,   //  8, 5 
+  8,  6, 56751,    8,  7,  3186,    9,  6,  3303,    9,  7,  2296,   //  8, 6 
+  8,  7, 61364,    8,  8,  1542,    9,  7,  1541,    9,  8,  1089,   //  8, 7 
+  7,  8,  1542,    7,  9,  1090,    8,  8, 61364,    8,  9,  1540,   //  8, 8 
+  7,  9,  3306,    7, 10,  2294,    8,  9, 56756,    8, 10,  3180,   //  8, 9 
+  7, 10,  5097,    7, 11,  3466,    8, 10, 52266,    8, 11,  4707,   //  8,10 
+  7, 11,  6783,    7, 12,  4513,    8, 11, 48240,    8, 12,  6000,   //  8,11 
+  7, 12,  8373,    7, 13,  5443,    8, 12, 44649,    8, 13,  7071,   //  8,12 
+  7, 13,  9886,    7, 14,  6266,    8, 13, 41432,    8, 14,  7952,   //  8,13 
+  7, 14, 11344,    7, 15,  6997,    8, 14, 38534,    8, 15,  8661,   //  8,14 
+  7, 15, 12764,    7, 16,  7643,    8, 15, 35905,    8, 16,  9224,   //  8,15 
+  9,  0, 35315,    9,  1,  9635,   10,  0, 12717,   10,  1,  7869,   //  9, 0 
+  9,  1, 37866,    9,  2,  9086,   10,  1, 11360,   10,  2,  7224,   //  9, 1 
+  9,  2, 40656,    9,  3,  8397,   10,  2,  9977,   10,  3,  6506,   //  9, 2 
+  9,  3, 43710,    9,  4,  7556,   10,  3,  8558,   10,  4,  5712,   //  9, 3 
+  9,  4, 47035,    9,  5,  6558,   10,  4,  7100,   10,  5,  4843,   //  9, 4 
+  9,  5, 50581,    9,  6,  5418,   10,  5,  5624,   10,  6,  3913,   //  9, 5 
+  9,  6, 54105,    9,  7,  4225,   10,  6,  4217,   10,  7,  2989,   //  9, 6 
+  9,  7, 56756,    9,  8,  3306,   10,  7,  3180,   10,  8,  2294,   //  9, 7 
+  8,  8,  3186,    8,  9,  2295,    9,  8, 56751,    9,  9,  3304,   //  9, 8 
+  8,  9,  4225,    8, 10,  2989,    9,  9, 54105,    9, 10,  4217,   //  9, 9 
+  8, 10,  5637,    8, 11,  3911,    9, 10, 50587,    9, 11,  5401,   //  9,10 
+  8, 11,  7119,    8, 12,  4838,    9, 11, 47049,    9, 12,  6530,   //  9,11 
+  8, 12,  8584,    8, 13,  5703,    9, 12, 43733,    9, 13,  7516,   //  9,12 
+  8, 13, 10013,    8, 14,  6491,    9, 13, 40688,    9, 14,  8344,   //  9,13 
+  8, 14, 11407,    8, 15,  7202,    9, 14, 37906,    9, 15,  9021,   //  9,14 
+  8, 15, 12777,    8, 16,  7839,    9, 15, 35362,    9, 16,  9558,   //  9,15 
+ 10,  0, 34532,   10,  1, 10086,   11,  0, 12783,   11,  1,  8135,   // 10, 0 
+ 10,  1, 36926,   10,  2,  9587,   11,  1, 11507,   11,  2,  7516,   // 10, 1 
+ 10,  2, 39503,   10,  3,  8966,   11,  2, 10226,   11,  3,  6841,   // 10, 2 
+ 10,  3, 42256,   10,  4,  8224,   11,  3,  8940,   11,  4,  6116,   // 10, 3 
+ 10,  4, 45139,   10,  5,  7377,   11,  4,  7667,   11,  5,  5353,   // 10, 4 
+ 10,  5, 48019,   10,  6,  6475,   11,  5,  6451,   11,  6,  4591,   // 10, 5 
+ 10,  6, 50587,   10,  7,  5637,   11,  6,  5400,   11,  7,  3912,   // 10, 6 
+ 10,  7, 52266,   10,  8,  5097,   11,  7,  4708,   11,  8,  3465,   // 10, 7 
+  9,  8,  4721,    9,  9,  3470,   10,  8, 52253,   10,  9,  5092,   // 10, 8 
+  9,  9,  5418,    9, 10,  3913,   10,  9, 50581,   10, 10,  5624,   // 10, 9 
+  9, 10,  6475,    9, 11,  4591,   10, 10, 48019,   10, 11,  6451,   // 10,10 
+  9, 11,  7698,    9, 12,  5350,   10, 11, 45146,   10, 12,  7342,   // 10,11 
+  9, 12,  8982,    9, 13,  6108,   10, 12, 42271,   10, 13,  8175,   // 10,12 
+  9, 13, 10279,    9, 14,  6829,   10, 13, 39526,   10, 14,  8902,   // 10,13 
+  9, 14, 11575,    9, 15,  7497,   10, 14, 36955,   10, 15,  9509,   // 10,14 
+  9, 15, 12867,    9, 16,  8107,   10, 15, 34567,   10, 16,  9995,   // 10,15 
+ 11,  0, 33539,   11,  1, 10635,   12,  0, 12899,   12,  1,  8463,   // 11, 0 
+ 11,  1, 35730,   11,  2, 10204,   12,  1, 11721,   12,  2,  7881,   // 11, 1 
+ 11,  2, 38042,   11,  3,  9674,   12,  2, 10559,   12,  3,  7261,   // 11, 2 
+ 11,  3, 40444,   11,  4,  9056,   12,  3,  9421,   12,  4,  6615,   // 11, 3 
+ 11,  4, 42861,   11,  5,  8378,   12,  4,  8332,   12,  5,  5965,   // 11, 4 
+ 11,  5, 45146,   11,  6,  7698,   12,  5,  7342,   12,  6,  5350,   // 11, 5 
+ 11,  6, 47049,   11,  7,  7119,   12,  6,  6530,   12,  7,  4838,   // 11, 6 
+ 11,  7, 48240,   11,  8,  6783,   12,  7,  6000,   12,  8,  4513,   // 11, 7 
+ 10,  8,  6023,   10,  9,  4521,   11,  8, 48218,   11,  9,  6774,   // 11, 8 
+ 10,  9,  6558,   10, 10,  4843,   11,  9, 47035,   11, 10,  7100,   // 11, 9 
+ 10, 10,  7377,   10, 11,  5353,   11, 10, 45139,   11, 11,  7667,   // 11,10 
+ 10, 11,  8378,   10, 12,  5965,   11, 11, 42861,   11, 12,  8332,   // 11,11 
+ 10, 12,  9478,   10, 13,  6611,   11, 12, 40452,   11, 13,  8995,   // 11,12 
+ 10, 13, 10630,   10, 14,  7252,   11, 13, 38057,   11, 14,  9597,   // 11,13 
+ 10, 14, 11810,   10, 15,  7865,   11, 14, 35750,   11, 15, 10111,   // 11,14 
+ 10, 15, 13007,   10, 16,  8438,   11, 15, 33564,   11, 16, 10527,   // 11,15 
+ 12,  0, 32391,   12,  1, 11269,   13,  0, 13038,   13,  1,  8838,   // 12, 0 
+ 12,  1, 34358,   12,  2, 10918,   13,  1, 11964,   13,  2,  8296,   // 12, 1 
+ 12,  2, 36392,   12,  3, 10488,   13,  2, 10922,   13,  3,  7734,   // 12, 2 
+ 12,  3, 38450,   12,  4,  9998,   13,  3,  9924,   13,  4,  7164,   // 12, 3 
+ 12,  4, 40452,   12,  5,  9478,   13,  4,  8995,   13,  5,  6611,   // 12, 4 
+ 12,  5, 42271,   12,  6,  8982,   13,  5,  8175,   13,  6,  6108,   // 12, 5 
+ 12,  6, 43733,   12,  7,  8584,   13,  6,  7516,   13,  7,  5703,   // 12, 6 
+ 12,  7, 44649,   12,  8,  8373,   13,  7,  7072,   13,  8,  5442,   // 12, 7 
+ 11,  8,  7106,   11,  9,  5454,   12,  8, 44616,   12,  9,  8360,   // 12, 8 
+ 11,  9,  7556,   11, 10,  5712,   12,  9, 43710,   12, 10,  8558,   // 12, 9 
+ 11, 10,  8224,   11, 11,  6116,   12, 10, 42256,   12, 11,  8940,   // 12,10 
+ 11, 11,  9056,   11, 12,  6615,   12, 11, 40444,   12, 12,  9421,   // 12,11 
+ 11, 12,  9998,   11, 13,  7164,   12, 12, 38450,   12, 13,  9924,   // 12,12 
+ 11, 13, 11012,   11, 14,  7728,   12, 13, 36399,   12, 14, 10397,   // 12,13 
+ 11, 14, 12074,   11, 15,  8284,   12, 14, 34369,   12, 15, 10809,   // 12,14 
+ 11, 15, 13171,   11, 16,  8816,   12, 15, 32406,   12, 16, 11143,   // 12,15 
+ 13,  0, 31138,   13,  1, 11977,   14,  0, 13176,   14,  1,  9245,   // 13, 0 
+ 13,  1, 32881,   13,  2, 11709,   14,  1, 12203,   14,  2,  8743,   // 13, 1 
+ 13,  2, 34650,   13,  3, 11382,   14,  2, 11272,   14,  3,  8232,   // 13, 2 
+ 13,  3, 36399,   13,  4, 11012,   14,  3, 10397,   14,  4,  7728,   // 13, 3 
+ 13,  4, 38057,   13,  5, 10630,   14,  4,  9597,   14,  5,  7252,   // 13, 4 
+ 13,  5, 39526,   13,  6, 10279,   14,  5,  8902,   14,  6,  6829,   // 13, 5 
+ 13,  6, 40688,   13,  7, 10013,   14,  6,  8344,   14,  7,  6491,   // 13, 6 
+ 13,  7, 41432,   13,  8,  9886,   14,  7,  7951,   14,  8,  6267,   // 13, 7 
+ 12,  8,  7996,   12,  9,  6284,   13,  8, 41389,   13,  9,  9867,   // 13, 8 
+ 12,  9,  8397,   12, 10,  6506,   13,  9, 40656,   13, 10,  9977,   // 13, 9 
+ 12, 10,  8966,   12, 11,  6842,   13, 10, 39503,   13, 11, 10225,   // 13,10 
+ 12, 11,  9674,   12, 12,  7261,   13, 11, 38042,   13, 12, 10559,   // 13,11 
+ 12, 12, 10488,   12, 13,  7734,   13, 12, 36392,   13, 13, 10922,   // 13,12 
+ 12, 13, 11382,   12, 14,  8232,   13, 13, 34650,   13, 14, 11272,   // 13,13 
+ 12, 14, 12334,   12, 15,  8735,   13, 14, 32886,   13, 15, 11581,   // 13,14 
+ 12, 15, 13332,   12, 16,  9229,   13, 15, 31146,   13, 16, 11829,   // 13,15 
+ 14,  0, 29828,   14,  1, 12746,   15,  0, 13291,   15,  1,  9671,   // 14, 0 
+ 14,  1, 31358,   14,  2, 12564,   15,  1, 12412,   15,  2,  9202,   // 14, 1 
+ 14,  2, 32886,   14,  3, 12334,   15,  2, 11580,   15,  3,  8736,   // 14, 2 
+ 14,  3, 34369,   14,  4, 12074,   15,  3, 10808,   15,  4,  8285,   // 14, 3 
+ 14,  4, 35750,   14,  5, 11810,   15,  4, 10111,   15,  5,  7865,   // 14, 4 
+ 14,  5, 36955,   14,  6, 11575,   15,  5,  9509,   15,  6,  7497,   // 14, 5 
+ 14,  6, 37906,   14,  7, 11407,   15,  6,  9020,   15,  7,  7203,   // 14, 6 
+ 14,  7, 38534,   14,  8, 11344,   15,  7,  8662,   15,  8,  6996,   // 14, 7 
+ 13,  8,  8718,   13,  9,  7020,   14,  8, 38481,   14,  9, 11317,   // 14, 8 
+ 13,  9,  9086,   13, 10,  7224,   14,  9, 37866,   14, 10, 11360,   // 14, 9 
+ 13, 10,  9587,   13, 11,  7517,   14, 10, 36926,   14, 11, 11506,   // 14,10 
+ 13, 11, 10204,   13, 12,  7881,   14, 11, 35730,   14, 12, 11721,   // 14,11 
+ 13, 12, 10918,   13, 13,  8296,   14, 12, 34358,   14, 13, 11964,   // 14,12 
+ 13, 13, 11709,   13, 14,  8742,   14, 13, 32881,   14, 14, 12204,   // 14,13 
+ 13, 14, 12564,   13, 15,  9202,   14, 14, 31358,   14, 15, 12412,   // 14,14 
+ 13, 15, 13470,   13, 16,  9662,   14, 15, 29831,   14, 16, 12573,   // 14,15 
+ 15,  0, 28495,   15,  1, 13569,   16,  0, 13368,   16,  1, 10104,   // 15, 0 
+ 15,  1, 29831,   15,  2, 13470,   16,  1, 12574,   16,  2,  9661,   // 15, 1 
+ 15,  2, 31146,   15,  3, 13332,   16,  2, 11829,   16,  3,  9229,   // 15, 2 
+ 15,  3, 32406,   15,  4, 13171,   16,  3, 11143,   16,  4,  8816,   // 15, 3 
+ 15,  4, 33564,   15,  5, 13007,   16,  4, 10528,   16,  5,  8437,   // 15, 4 
+ 15,  5, 34567,   15,  6, 12867,   16,  5,  9995,   16,  6,  8107,   // 15, 5 
+ 15,  6, 35362,   15,  7, 12777,   16,  6,  9558,   16,  7,  7839,   // 15, 6 
+ 15,  7, 35905,   15,  8, 12764,   16,  7,  9224,   16,  8,  7643,   // 15, 7 
+ 14,  8,  9290,   14,  9,  7674,   15,  8, 35844,   15,  9, 12728,   // 15, 8 
+ 14,  9,  9635,   14, 10,  7868,   15,  9, 35315,   15, 10, 12718,   // 15, 9 
+ 14, 10, 10086,   14, 11,  8135,   15, 10, 34532,   15, 11, 12783,   // 15,10 
+ 14, 11, 10635,   14, 12,  8463,   15, 11, 33539,   15, 12, 12899,   // 15,11 
+ 14, 12, 11269,   14, 13,  8838,   15, 12, 32391,   15, 13, 13038,   // 15,12 
+ 14, 13, 11977,   14, 14,  9245,   15, 13, 31138,   15, 14, 13176,   // 15,13 
+ 14, 14, 12746,   14, 15,  9671,   15, 14, 29828,   15, 15, 13291,   // 15,14 
+ 14, 15, 13569,   14, 16, 10104,   15, 15, 28495,   15, 16, 13368,   // 15,15 
+ // angle of 2.5 degrees
+  0, -1, 14696,    0,  0, 24063,    1, -1, 11702,    1,  0, 15075,   //  0, 0 
+  0,  0, 14872,    0,  1, 25368,    1,  0, 11187,    1,  1, 14109,   //  0, 1 
+  0,  1, 14990,    0,  2, 26660,    1,  1, 10676,    1,  2, 13210,   //  0, 2 
+  0,  2, 15060,    0,  3, 27903,    1,  2, 10185,    1,  3, 12388,   //  0, 3 
+  0,  3, 15100,    0,  4, 29055,    1,  3,  9728,    1,  4, 11653,   //  0, 4 
+  0,  4, 15135,    0,  5, 30064,    1,  4,  9323,    1,  5, 11014,   //  0, 5 
+  0,  5, 15193,    0,  6, 30876,    1,  5,  8986,    1,  6, 10481,   //  0, 6 
+  0,  6, 15301,    0,  7, 31444,    1,  6,  8727,    1,  7, 10064,   //  0, 7 
+ -1,  7,  8669,   -1,  8,  9959,    0,  7, 15376,    0,  8, 31532,   //  0, 8 
+ -1,  8,  8927,   -1,  9, 10351,    0,  8, 15319,    0,  9, 30939,   //  0, 9 
+ -1,  9,  9265,   -1, 10, 10855,    0,  9, 15311,    0, 10, 30105,   //  0,10 
+ -1, 10,  9673,   -1, 11, 11461,    0, 10, 15325,    0, 11, 29077,   //  0,11 
+ -1, 11, 10135,   -1, 12, 12159,    0, 11, 15330,    0, 12, 27912,   //  0,12 
+ -1, 12, 10637,   -1, 13, 12938,    0, 12, 15301,    0, 13, 26660,   //  0,13 
+ -1, 13, 11164,   -1, 14, 13787,    0, 13, 15220,    0, 14, 25365,   //  0,14 
+ -1, 14, 11702,   -1, 15, 14696,    0, 14, 15076,    0, 15, 24062,   //  0,15 
+  1, -1, 13787,    1,  0, 25366,    2, -1, 11164,    2,  0, 15219,   //  1, 0 
+  1,  0, 13853,    1,  1, 26893,    2,  0, 10644,    2,  1, 14146,   //  1, 1 
+  1,  1, 13850,    1,  2, 28427,    2,  1, 10119,    2,  2, 13140,   //  1, 2 
+  1,  2, 13789,    1,  3, 29928,    2,  2,  9603,    2,  3, 12216,   //  1, 3 
+  1,  3, 13694,    1,  4, 31339,    2,  3,  9118,    2,  4, 11385,   //  1, 4 
+  1,  4, 13600,    1,  5, 32586,    2,  4,  8685,    2,  5, 10665,   //  1, 5 
+  1,  5, 13548,    1,  6, 33585,    2,  5,  8329,    2,  6, 10074,   //  1, 6 
+  1,  6, 13582,    1,  7, 34261,    2,  6,  8068,    2,  7,  9625,   //  1, 7 
+  0,  7,  8024,    0,  8,  9534,    1,  7, 13638,    1,  8, 34340,   //  1, 8 
+  0,  8,  8286,    0,  9,  9961,    1,  8, 13647,    1,  9, 33642,   //  1, 9 
+  0,  9,  8645,    0, 10, 10528,    1,  9, 13740,    1, 10, 32623,   //  1,10 
+  0, 10,  9082,    0, 11, 11218,    1, 10, 13875,    1, 11, 31361,   //  1,11 
+  0, 11,  9575,    0, 12, 12014,    1, 11, 14009,    1, 12, 29938,   //  1,12 
+  0, 12, 10102,    0, 13, 12897,    1, 12, 14107,    1, 13, 28430,   //  1,13 
+  0, 13, 10644,    0, 14, 13853,    1, 13, 14145,    1, 14, 26894,   //  1,14 
+  0, 14, 11187,    0, 15, 14872,    1, 14, 14109,    1, 15, 25368,   //  1,15 
+  2, -1, 12938,    2,  0, 26660,    3, -1, 10637,    3,  0, 15301,   //  2, 0 
+  2,  0, 12897,    2,  1, 28430,    3,  0, 10102,    3,  1, 14107,   //  2, 1 
+  2,  1, 12769,    2,  2, 30239,    3,  1,  9546,    3,  2, 12982,   //  2, 2 
+  2,  2, 12569,    2,  3, 32045,    3,  2,  8988,    3,  3, 11934,   //  2, 3 
+  2,  3, 12323,    2,  4, 33777,    3,  3,  8452,    3,  4, 10984,   //  2, 4 
+  2,  4, 12079,    2,  5, 35332,    3,  4,  7969,    3,  5, 10156,   //  2, 5 
+  2,  5, 11897,    2,  6, 36582,    3,  5,  7573,    3,  6,  9484,   //  2, 6 
+  2,  6, 11842,    2,  7, 37402,    3,  6,  7298,    3,  7,  8994,   //  2, 7 
+  1,  7,  7266,    1,  8,  8918,    2,  7, 11883,    2,  8, 37469,   //  2, 8 
+  1,  8,  7543,    1,  9,  9390,    2,  8, 11972,    2,  9, 36631,   //  2, 9 
+  1,  9,  7943,    1, 10, 10041,    2,  9, 12188,    2, 10, 35364,   //  2,10 
+  1, 10,  8432,    1, 11, 10842,    2, 10, 12467,    2, 11, 33795,   //  2,11 
+  1, 11,  8976,    1, 12, 11760,    2, 11, 12747,    2, 12, 32053,   //  2,12 
+  1, 12,  9546,    1, 13, 12769,    2, 12, 12982,    2, 13, 30239,   //  2,13 
+  1, 13, 10119,    1, 14, 13850,    2, 13, 13141,    2, 14, 28426,   //  2,14 
+  1, 14, 10676,    1, 15, 14990,    2, 14, 13211,    2, 15, 26659,   //  2,15 
+  3, -1, 12159,    3,  0, 27912,    4, -1, 10135,    4,  0, 15330,   //  3, 0 
+  3,  0, 12014,    3,  1, 29938,    4,  0,  9575,    4,  1, 14009,   //  3, 1 
+  3,  1, 11760,    3,  2, 32052,    4,  1,  8976,    4,  2, 12748,   //  3, 2 
+  3,  2, 11411,    3,  3, 34213,    4,  2,  8358,    4,  3, 11554,   //  3, 3 
+  3,  3, 10995,    3,  4, 36343,    4,  3,  7746,    4,  4, 10452,   //  3, 4 
+  3,  4, 10569,    3,  5, 38307,    4,  4,  7180,    4,  5,  9480,   //  3, 5 
+  3,  5, 10221,    3,  6, 39912,    4,  5,  6714,    4,  6,  8689,   //  3, 6 
+  3,  6, 10051,    3,  7, 40940,    4,  6,  6403,    4,  7,  8142,   //  3, 7 
+  2,  7,  6381,    2,  8,  8082,    3,  7, 10079,    3,  8, 40994,   //  3, 8 
+  2,  8,  6695,    2,  9,  8617,    3,  8, 10275,    3,  9, 39949,   //  3, 9 
+  2,  9,  7165,    2, 10,  9388,    3,  9, 10653,    3, 10, 38330,   //  3,10 
+  2, 10,  7737,    2, 11, 10337,    3, 10, 11108,    3, 11, 36354,   //  3,11 
+  2, 11,  8358,    2, 12, 11411,    3, 11, 11554,    3, 12, 34213,   //  3,12 
+  2, 12,  8988,    2, 13, 12569,    3, 12, 11934,    3, 13, 32045,   //  3,13 
+  2, 13,  9603,    2, 14, 13789,    3, 13, 12216,    3, 14, 29928,   //  3,14 
+  2, 14, 10185,    2, 15, 15060,    3, 14, 12388,    3, 15, 27903,   //  3,15 
+  4, -1, 11461,    4,  0, 29078,    5, -1,  9673,    5,  0, 15324,   //  4, 0 
+  4,  0, 11218,    4,  1, 31361,    5,  0,  9082,    5,  1, 13875,   //  4, 1 
+  4,  1, 10842,    4,  2, 33795,    5,  1,  8432,    5,  2, 12467,   //  4, 2 
+  4,  2, 10337,    4,  3, 36354,    5,  2,  7737,    5,  3, 11108,   //  4, 3 
+  4,  3,  9730,    4,  4, 38966,    5,  3,  7022,    5,  4,  9818,   //  4, 4 
+  4,  4,  9081,    4,  5, 41475,    5,  4,  6334,    5,  5,  8646,   //  4, 5 
+  4,  5,  8507,    4,  6, 43602,    5,  5,  5749,    5,  6,  7678,   //  4, 6 
+  4,  6,  8177,    4,  7, 44962,    5,  6,  5368,    5,  7,  7029,   //  4, 7 
+  3,  7,  5354,    3,  8,  6987,    4,  7,  8195,    4,  8, 45000,   //  4, 8 
+  3,  8,  5739,    3,  9,  7626,    4,  8,  8545,    4,  9, 43626,   //  4, 9 
+  3,  9,  6328,    3, 10,  8578,    4,  9,  9143,    4, 10, 41487,   //  4,10 
+  3, 10,  7022,    3, 11,  9730,    4, 10,  9818,    4, 11, 38966,   //  4,11 
+  3, 11,  7746,    3, 12, 10995,    4, 11, 10452,    4, 12, 36343,   //  4,12 
+  3, 12,  8452,    3, 13, 12323,    4, 12, 10983,    4, 13, 33778,   //  4,13 
+  3, 13,  9118,    3, 14, 13694,    4, 13, 11385,    4, 14, 31339,   //  4,14 
+  3, 14,  9728,    3, 15, 15100,    4, 14, 11652,    4, 15, 29056,   //  4,15 
+  5, -1, 10855,    5,  0, 30105,    6, -1,  9265,    6,  0, 15311,   //  5, 0 
+  5,  0, 10528,    5,  1, 32624,    6,  0,  8645,    6,  1, 13739,   //  5, 1 
+  5,  1, 10041,    5,  2, 35364,    6,  1,  7943,    6,  2, 12188,   //  5, 2 
+  5,  2,  9388,    5,  3, 38330,    6,  2,  7165,    6,  3, 10653,   //  5, 3 
+  5,  3,  8578,    5,  4, 41487,    6,  3,  6328,    6,  4,  9143,   //  5, 4 
+  5,  4,  7659,    5,  5, 44700,    6,  4,  5472,    6,  5,  7705,   //  5, 5 
+  5,  5,  6768,    5,  6, 47619,    6,  5,  4694,    6,  6,  6455,   //  5, 6 
+  5,  6,  6183,    5,  7, 49566,    6,  6,  4172,    6,  7,  5615,   //  5, 7 
+  4,  7,  4164,    4,  8,  5590,    5,  7,  6193,    5,  8, 49589,   //  5, 8 
+  4,  8,  4690,    4,  9,  6422,    5,  8,  6794,    5,  9, 47630,   //  5, 9 
+  4,  9,  5472,    4, 10,  7659,    5,  9,  7705,    5, 10, 44700,   //  5,10 
+  4, 10,  6334,    4, 11,  9081,    5, 10,  8646,    5, 11, 41475,   //  5,11 
+  4, 11,  7180,    4, 12, 10569,    5, 11,  9479,    5, 12, 38308,   //  5,12 
+  4, 12,  7969,    4, 13, 12079,    5, 12, 10156,    5, 13, 35332,   //  5,13 
+  4, 13,  8685,    4, 14, 13600,    5, 13, 10665,    5, 14, 32586,   //  5,14 
+  4, 14,  9323,    4, 15, 15135,    5, 14, 11013,    5, 15, 30065,   //  5,15 
+  6, -1, 10351,    6,  0, 30939,    7, -1,  8927,    7,  0, 15319,   //  6, 0 
+  6,  0,  9961,    6,  1, 33642,    7,  0,  8286,    7,  1, 13647,   //  6, 1 
+  6,  1,  9390,    6,  2, 36631,    7,  1,  7543,    7,  2, 11972,   //  6, 2 
+  6,  2,  8617,    6,  3, 39949,    7,  2,  6695,    7,  3, 10275,   //  6, 3 
+  6,  3,  7626,    6,  4, 43626,    7,  3,  5739,    7,  4,  8545,   //  6, 4 
+  6,  4,  6422,    6,  5, 47630,    7,  4,  4690,    7,  5,  6794,   //  6, 5 
+  6,  5,  5099,    6,  6, 51701,    7,  5,  3620,    7,  6,  5116,   //  6, 6 
+  6,  6,  4044,    6,  7, 54831,    7,  6,  2797,    7,  7,  3864,   //  6, 7 
+  5,  7,  2795,    5,  8,  3853,    6,  7,  4049,    6,  8, 54839,   //  6, 8 
+  5,  8,  3620,    5,  9,  5099,    6,  8,  5116,    6,  9, 51701,   //  6, 9 
+  5,  9,  4694,    5, 10,  6768,    6,  9,  6455,    6, 10, 47619,   //  6,10 
+  5, 10,  5749,    5, 11,  8507,    6, 10,  7678,    6, 11, 43602,   //  6,11 
+  5, 11,  6714,    5, 12, 10221,    6, 11,  8690,    6, 12, 39911,   //  6,12 
+  5, 12,  7573,    5, 13, 11897,    6, 12,  9484,    6, 13, 36582,   //  6,13 
+  5, 13,  8329,    5, 14, 13548,    6, 13, 10074,    6, 14, 33585,   //  6,14 
+  5, 14,  8986,    5, 15, 15193,    6, 14, 10482,    6, 15, 30875,   //  6,15 
+  7, -1,  9959,    7,  0, 31532,    8, -1,  8669,    8,  0, 15376,   //  7, 0 
+  7,  0,  9534,    7,  1, 34340,    8,  0,  8024,    8,  1, 13638,   //  7, 1 
+  7,  1,  8918,    7,  2, 37470,    8,  1,  7266,    8,  2, 11882,   //  7, 2 
+  7,  2,  8082,    7,  3, 40994,    8,  2,  6381,    8,  3, 10079,   //  7, 3 
+  7,  3,  6987,    7,  4, 44999,    8,  3,  5354,    8,  4,  8196,   //  7, 4 
+  7,  4,  5590,    7,  5, 49588,    8,  4,  4164,    8,  5,  6194,   //  7, 5 
+  7,  5,  3853,    7,  6, 54839,    8,  5,  2795,    8,  6,  4049,   //  7, 6 
+  7,  6,  1903,    7,  7, 60382,    8,  6,  1347,    8,  7,  1904,   //  7, 7 
+  6,  7,  1347,    6,  8,  1903,    7,  7,  1905,    7,  8, 60381,   //  7, 8 
+  6,  8,  2797,    6,  9,  4044,    7,  8,  3864,    7,  9, 54831,   //  7, 9 
+  6,  9,  4172,    6, 10,  6183,    7,  9,  5615,    7, 10, 49566,   //  7,10 
+  6, 10,  5368,    6, 11,  8177,    7, 10,  7029,    7, 11, 44962,   //  7,11 
+  6, 11,  6403,    6, 12, 10051,    7, 11,  8141,    7, 12, 40941,   //  7,12 
+  6, 12,  7298,    6, 13, 11842,    7, 12,  8994,    7, 13, 37402,   //  7,13 
+  6, 13,  8068,    6, 14, 13582,    7, 13,  9626,    7, 14, 34260,   //  7,14 
+  6, 14,  8727,    6, 15, 15301,    7, 14, 10065,    7, 15, 31443,   //  7,15 
+  8,  0, 31444,    8,  1, 10065,    9,  0, 15301,    9,  1,  8726,   //  8, 0 
+  8,  1, 34261,    8,  2,  9626,    9,  1, 13582,    9,  2,  8067,   //  8, 1 
+  8,  2, 37402,    8,  3,  8994,    9,  2, 11842,    9,  3,  7298,   //  8, 2 
+  8,  3, 40940,    8,  4,  8141,    9,  3, 10051,    9,  4,  6404,   //  8, 3 
+  8,  4, 44962,    8,  5,  7029,    9,  4,  8177,    9,  5,  5368,   //  8, 4 
+  8,  5, 49566,    8,  6,  5615,    9,  5,  6183,    9,  6,  4172,   //  8, 5 
+  8,  6, 54831,    8,  7,  3864,    9,  6,  4044,    9,  7,  2797,   //  8, 6 
+  8,  7, 60382,    8,  8,  1905,    9,  7,  1903,    9,  8,  1346,   //  8, 7 
+  7,  8,  1905,    7,  9,  1347,    8,  8, 60382,    8,  9,  1902,   //  8, 8 
+  7,  9,  4049,    7, 10,  2795,    8,  9, 54839,    8, 10,  3853,   //  8, 9 
+  7, 10,  6193,    7, 11,  4164,    8, 10, 49588,    8, 11,  5591,   //  8,10 
+  7, 11,  8195,    7, 12,  5354,    8, 11, 44999,    8, 12,  6988,   //  8,11 
+  7, 12, 10079,    7, 13,  6381,    8, 12, 40994,    8, 13,  8082,   //  8,12 
+  7, 13, 11883,    7, 14,  7266,    8, 13, 37470,    8, 14,  8917,   //  8,13 
+  7, 14, 13638,    7, 15,  8024,    8, 14, 34340,    8, 15,  9534,   //  8,14 
+  7, 15, 15376,    7, 16,  8669,    8, 15, 31532,    8, 16,  9959,   //  8,15 
+  9,  0, 30876,    9,  1, 10482,   10,  0, 15193,   10,  1,  8985,   //  9, 0 
+  9,  1, 33585,    9,  2, 10074,   10,  1, 13548,   10,  2,  8329,   //  9, 1 
+  9,  2, 36582,    9,  3,  9484,   10,  2, 11897,   10,  3,  7573,   //  9, 2 
+  9,  3, 39912,    9,  4,  8690,   10,  3, 10221,   10,  4,  6713,   //  9, 3 
+  9,  4, 43602,    9,  5,  7678,   10,  4,  8507,   10,  5,  5749,   //  9, 4 
+  9,  5, 47619,    9,  6,  6455,   10,  5,  6768,   10,  6,  4694,   //  9, 5 
+  9,  6, 51701,    9,  7,  5116,   10,  6,  5099,   10,  7,  3620,   //  9, 6 
+  9,  7, 54839,    9,  8,  4049,   10,  7,  3853,   10,  8,  2795,   //  9, 7 
+  8,  8,  3864,    8,  9,  2797,    9,  8, 54831,    9,  9,  4044,   //  9, 8 
+  8,  9,  5116,    8, 10,  3620,    9,  9, 51701,    9, 10,  5099,   //  9, 9 
+  8, 10,  6794,    8, 11,  4690,    9, 10, 47630,    9, 11,  6422,   //  9,10 
+  8, 11,  8545,    8, 12,  5739,    9, 11, 43626,    9, 12,  7626,   //  9,11 
+  8, 12, 10275,    8, 13,  6695,    9, 12, 39949,    9, 13,  8617,   //  9,12 
+  8, 13, 11972,    8, 14,  7543,    9, 13, 36631,    9, 14,  9390,   //  9,13 
+  8, 14, 13647,    8, 15,  8286,    9, 14, 33642,    9, 15,  9961,   //  9,14 
+  8, 15, 15319,    8, 16,  8927,    9, 15, 30939,    9, 16, 10351,   //  9,15 
+ 10,  0, 30064,   10,  1, 11013,   11,  0, 15135,   11,  1,  9324,   // 10, 0 
+ 10,  1, 32586,   10,  2, 10665,   11,  1, 13600,   11,  2,  8685,   // 10, 1 
+ 10,  2, 35332,   10,  3, 10156,   11,  2, 12079,   11,  3,  7969,   // 10, 2 
+ 10,  3, 38307,   10,  4,  9479,   11,  3, 10569,   11,  4,  7181,   // 10, 3 
+ 10,  4, 41475,   10,  5,  8646,   11,  4,  9081,   11,  5,  6334,   // 10, 4 
+ 10,  5, 44700,   10,  6,  7705,   11,  5,  7659,   11,  6,  5472,   // 10, 5 
+ 10,  6, 47630,   10,  7,  6794,   11,  6,  6422,   11,  7,  4690,   // 10, 6 
+ 10,  7, 49588,   10,  8,  6193,   11,  7,  5590,   11,  8,  4165,   // 10, 7 
+  9,  8,  5615,    9,  9,  4172,   10,  8, 49566,   10,  9,  6183,   // 10, 8 
+  9,  9,  6455,    9, 10,  4694,   10,  9, 47619,   10, 10,  6768,   // 10, 9 
+  9, 10,  7705,    9, 11,  5472,   10, 10, 44700,   10, 11,  7659,   // 10,10 
+  9, 11,  9143,    9, 12,  6328,   10, 11, 41487,   10, 12,  8578,   // 10,11 
+  9, 12, 10653,    9, 13,  7165,   10, 12, 38330,   10, 13,  9388,   // 10,12 
+  9, 13, 12188,    9, 14,  7943,   10, 13, 35364,   10, 14, 10041,   // 10,13 
+  9, 14, 13740,    9, 15,  8645,   10, 14, 32624,   10, 15, 10527,   // 10,14 
+  9, 15, 15311,    9, 16,  9265,   10, 15, 30105,   10, 16, 10855,   // 10,15 
+ 11,  0, 29055,   11,  1, 11652,   12,  0, 15100,   12,  1,  9729,   // 11, 0 
+ 11,  1, 31339,   11,  2, 11385,   12,  1, 13694,   12,  2,  9118,   // 11, 1 
+ 11,  2, 33777,   11,  3, 10983,   12,  2, 12323,   12,  3,  8453,   // 11, 2 
+ 11,  3, 36343,   11,  4, 10452,   12,  3, 10995,   12,  4,  7746,   // 11, 3 
+ 11,  4, 38966,   11,  5,  9818,   12,  4,  9730,   12,  5,  7022,   // 11, 4 
+ 11,  5, 41487,   11,  6,  9143,   12,  5,  8578,   12,  6,  6328,   // 11, 5 
+ 11,  6, 43626,   11,  7,  8545,   12,  6,  7626,   12,  7,  5739,   // 11, 6 
+ 11,  7, 44999,   11,  8,  8195,   12,  7,  6987,   12,  8,  5355,   // 11, 7 
+ 10,  8,  7029,   10,  9,  5368,   11,  8, 44962,   11,  9,  8177,   // 11, 8 
+ 10,  9,  7678,   10, 10,  5749,   11,  9, 43602,   11, 10,  8507,   // 11, 9 
+ 10, 10,  8646,   10, 11,  6334,   11, 10, 41475,   11, 11,  9081,   // 11,10 
+ 10, 11,  9818,   10, 12,  7022,   11, 11, 38966,   11, 12,  9730,   // 11,11 
+ 10, 12, 11108,   10, 13,  7737,   11, 12, 36354,   11, 13, 10337,   // 11,12 
+ 10, 13, 12467,   10, 14,  8432,   11, 13, 33795,   11, 14, 10842,   // 11,13 
+ 10, 14, 13875,   10, 15,  9082,   11, 14, 31361,   11, 15, 11218,   // 11,14 
+ 10, 15, 15325,   10, 16,  9673,   11, 15, 29078,   11, 16, 11460,   // 11,15 
+ 12,  0, 27903,   12,  1, 12388,   13,  0, 15060,   13,  1, 10185,   // 12, 0 
+ 12,  1, 29928,   12,  2, 12216,   13,  1, 13789,   13,  2,  9603,   // 12, 1 
+ 12,  2, 32045,   12,  3, 11934,   13,  2, 12569,   13,  3,  8988,   // 12, 2 
+ 12,  3, 34213,   12,  4, 11554,   13,  3, 11411,   13,  4,  8358,   // 12, 3 
+ 12,  4, 36354,   12,  5, 11108,   13,  4, 10337,   13,  5,  7737,   // 12, 4 
+ 12,  5, 38330,   12,  6, 10653,   13,  5,  9388,   13,  6,  7165,   // 12, 5 
+ 12,  6, 39949,   12,  7, 10275,   13,  6,  8617,   13,  7,  6695,   // 12, 6 
+ 12,  7, 40994,   12,  8, 10079,   13,  7,  8082,   13,  8,  6381,   // 12, 7 
+ 11,  8,  8141,   11,  9,  6403,   12,  8, 40940,   12,  9, 10052,   // 12, 8 
+ 11,  9,  8690,   11, 10,  6714,   12,  9, 39912,   12, 10, 10220,   // 12, 9 
+ 11, 10,  9479,   11, 11,  7180,   12, 10, 38307,   12, 11, 10570,   // 12,10 
+ 11, 11, 10452,   11, 12,  7746,   12, 11, 36343,   12, 12, 10995,   // 12,11 
+ 11, 12, 11554,   11, 13,  8358,   12, 12, 34213,   12, 13, 11411,   // 12,12 
+ 11, 13, 12747,   11, 14,  8976,   12, 13, 32052,   12, 14, 11761,   // 12,13 
+ 11, 14, 14009,   11, 15,  9575,   12, 14, 29938,   12, 15, 12014,   // 12,14 
+ 11, 15, 15330,   11, 16, 10135,   12, 15, 27912,   12, 16, 12159,   // 12,15 
+ 13,  0, 26660,   13,  1, 13211,   14,  0, 14990,   14,  1, 10675,   // 13, 0 
+ 13,  1, 28427,   13,  2, 13141,   14,  1, 13850,   14,  2, 10118,   // 13, 1 
+ 13,  2, 30239,   13,  3, 12982,   14,  2, 12769,   14,  3,  9546,   // 13, 2 
+ 13,  3, 32052,   13,  4, 12747,   14,  3, 11760,   14,  4,  8977,   // 13, 3 
+ 13,  4, 33795,   13,  5, 12467,   14,  4, 10842,   14,  5,  8432,   // 13, 4 
+ 13,  5, 35364,   13,  6, 12188,   14,  5, 10041,   14,  6,  7943,   // 13, 5 
+ 13,  6, 36631,   13,  7, 11972,   14,  6,  9390,   14,  7,  7543,   // 13, 6 
+ 13,  7, 37470,   13,  8, 11883,   14,  7,  8918,   14,  8,  7265,   // 13, 7 
+ 12,  8,  8994,   12,  9,  7298,   13,  8, 37402,   13,  9, 11842,   // 13, 8 
+ 12,  9,  9484,   12, 10,  7573,   13,  9, 36582,   13, 10, 11897,   // 13, 9 
+ 12, 10, 10156,   12, 11,  7969,   13, 10, 35332,   13, 11, 12079,   // 13,10 
+ 12, 11, 10983,   12, 12,  8452,   13, 11, 33777,   13, 12, 12324,   // 13,11 
+ 12, 12, 11934,   12, 13,  8988,   13, 12, 32045,   13, 13, 12569,   // 13,12 
+ 12, 13, 12982,   12, 14,  9546,   13, 13, 30239,   13, 14, 12769,   // 13,13 
+ 12, 14, 14107,   12, 15, 10102,   13, 14, 28430,   13, 15, 12897,   // 13,14 
+ 12, 15, 15301,   12, 16, 10637,   13, 15, 26660,   13, 16, 12938,   // 13,15 
+ 14,  0, 25368,   14,  1, 14109,   15,  0, 14872,   15,  1, 11187,   // 14, 0 
+ 14,  1, 26893,   14,  2, 14145,   15,  1, 13853,   15,  2, 10645,   // 14, 1 
+ 14,  2, 28430,   14,  3, 14107,   15,  2, 12897,   15,  3, 10102,   // 14, 2 
+ 14,  3, 29938,   14,  4, 14009,   15,  3, 12014,   15,  4,  9575,   // 14, 3 
+ 14,  4, 31361,   14,  5, 13875,   15,  4, 11218,   15,  5,  9082,   // 14, 4 
+ 14,  5, 32624,   14,  6, 13740,   15,  5, 10528,   15,  6,  8644,   // 14, 5 
+ 14,  6, 33642,   14,  7, 13647,   15,  6,  9961,   15,  7,  8286,   // 14, 6 
+ 14,  7, 34340,   14,  8, 13638,   15,  7,  9534,   15,  8,  8024,   // 14, 7 
+ 13,  8,  9626,   13,  9,  8068,   14,  8, 34261,   14,  9, 13581,   // 14, 8 
+ 13,  9, 10074,   13, 10,  8329,   14,  9, 33585,   14, 10, 13548,   // 14, 9 
+ 13, 10, 10665,   13, 11,  8685,   14, 10, 32586,   14, 11, 13600,   // 14,10 
+ 13, 11, 11385,   13, 12,  9118,   14, 11, 31339,   14, 12, 13694,   // 14,11 
+ 13, 12, 12216,   13, 13,  9603,   14, 12, 29928,   14, 13, 13789,   // 14,12 
+ 13, 13, 13141,   13, 14, 10119,   14, 13, 28427,   14, 14, 13849,   // 14,13 
+ 13, 14, 14145,   13, 15, 10644,   14, 14, 26893,   14, 15, 13854,   // 14,14 
+ 13, 15, 15220,   13, 16, 11164,   14, 15, 25366,   14, 16, 13786,   // 14,15 
+ 15,  0, 24063,   15,  1, 15076,   16,  0, 14696,   16,  1, 11701,   // 15, 0 
+ 15,  1, 25366,   15,  2, 15220,   16,  1, 13787,   16,  2, 11163,   // 15, 1 
+ 15,  2, 26660,   15,  3, 15301,   16,  2, 12938,   16,  3, 10637,   // 15, 2 
+ 15,  3, 27912,   15,  4, 15330,   16,  3, 12159,   16,  4, 10135,   // 15, 3 
+ 15,  4, 29078,   15,  5, 15325,   16,  4, 11461,   16,  5,  9672,   // 15, 4 
+ 15,  5, 30105,   15,  6, 15311,   16,  5, 10855,   16,  6,  9265,   // 15, 5 
+ 15,  6, 30939,   15,  7, 15319,   16,  6, 10351,   16,  7,  8927,   // 15, 6 
+ 15,  7, 31532,   15,  8, 15376,   16,  7,  9959,   16,  8,  8669,   // 15, 7 
+ 14,  8, 10065,   14,  9,  8727,   15,  8, 31444,   15,  9, 15300,   // 15, 8 
+ 14,  9, 10482,   14, 10,  8986,   15,  9, 30876,   15, 10, 15192,   // 15, 9 
+ 14, 10, 11013,   14, 11,  9323,   15, 10, 30064,   15, 11, 15136,   // 15,10 
+ 14, 11, 11652,   14, 12,  9728,   15, 11, 29055,   15, 12, 15101,   // 15,11 
+ 14, 12, 12388,   14, 13, 10185,   15, 12, 27903,   15, 13, 15060,   // 15,12 
+ 14, 13, 13211,   14, 14, 10676,   15, 13, 26660,   15, 14, 14989,   // 15,13 
+ 14, 14, 14109,   14, 15, 11187,   15, 14, 25368,   15, 15, 14872,   // 15,14 
+ 14, 15, 15076,   14, 16, 11702,   15, 15, 24063,   15, 16, 14695,   // 15,15 
diff --git a/vp8/common/tapify.py b/vp8/common/tapify.py
new file mode 100755
index 0000000..99529cf
--- /dev/null
+++ b/vp8/common/tapify.py
@@ -0,0 +1,106 @@
+"""
+ *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+"""
+#!/usr/bin/env python
+import sys,string,os,re,math,numpy
+scale = 2**16
+def dist(p1,p2):
+  x1,y1 = p1
+  x2,y2 = p2
+  if x1==x2 and y1==y2 :
+    return 1.0 
+  return 1/ math.sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2))
+
+def gettaps(p):
+  def l(b):
+    return int(math.floor(b))
+  def h(b):
+    return int(math.ceil(b))
+  def t(b,p,s):
+    return int((scale*dist(b,p)+s/2)/s)
+  r,c = p
+  ul=[l(r),l(c)]
+  ur=[l(r),h(c)]
+  ll=[h(r),l(c)]
+  lr=[h(r),h(c)]
+  sum = dist(ul,p)+dist(ur,p)+dist(ll,p)+dist(lr,p)
+  t4 = scale - t(ul,p,sum) - t(ur,p,sum) - t(ll,p,sum);
+  return [[ul,t(ul,p,sum)],[ur,t(ur,p,sum)],
+          [ll,t(ll,p,sum)],[lr,t4]]
+
+def print_mb_taps(angle,blocksize):
+  theta = angle / 57.2957795;
+  affine = [[math.cos(theta),-math.sin(theta)],
+            [math.sin(theta),math.cos(theta)]]
+  radius = (float(blocksize)-1)/2
+  print " // angle of",angle,"degrees"
+  for y in range(blocksize) :
+    for x in range(blocksize) :
+      r,c = numpy.dot(affine,[y-radius, x-radius])
+      tps = gettaps([r+radius,c+radius])
+      for t in tps :
+        p,t = t
+        tr,tc = p
+        print " %2d, %2d, %5d, " % (tr,tc,t,),
+      print " // %2d,%2d " % (y,x)
+
+i=float(sys.argv[1])
+while  i <= float(sys.argv[2]) :
+  print_mb_taps(i,float(sys.argv[4]))
+  i=i+float(sys.argv[3])
+"""
+
+taps = []
+pt=dict()
+ptr=dict()
+for y in range(16) :
+  for x in range(16) :
+    r,c = numpy.dot(affine,[y-7.5, x-7.5])
+    tps = gettaps([r+7.5,c+7.5])
+    j=0
+    for tp in tps : 
+      p,i = tp
+      r,c = p
+      pt[y,x,j]= [p,i]
+      try: 
+        ptr[r,j,c].append([y,x])
+      except:
+        ptr[r,j,c]=[[y,x]]
+      j = j+1 
+
+for key in sorted(pt.keys()) :
+  print key,pt[key]
+
+lr = -99
+lj = -99 
+lc = 0
+
+shuf=""
+mask=""
+for r,j,c in sorted(ptr.keys()) :
+  for y,x in ptr[r,j,c] :
+    if lr != r or lj != j :
+      print "shuf_"+str(lr)+"_"+str(lj)+"_"+shuf.ljust(16,"0"), lc
+      shuf=""
+      lc = 0
+    for i in range(lc,c-1) :
+      shuf = shuf +"0"
+    shuf = shuf + hex(x)[2]
+    lc =c
+    break
+  lr = r
+  lj = j
+#  print r,j,c,ptr[r,j,c]    
+#  print 
+
+for r,j,c in sorted(ptr.keys()) :
+  for y,x in ptr[r,j,c] :
+    print r,j,c,y,x 
+    break
+"""
diff --git a/vp8/encoder/find_rotation.c b/vp8/encoder/find_rotation.c
new file mode 100644
index 0000000..742c0ba
--- /dev/null
+++ b/vp8/encoder/find_rotation.c
@@ -0,0 +1,58 @@
+/*
+ *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+ */
+
+#include "block.h"
+#include "variance.h"
+
+#if CONFIG_ROTATION
+
+int vp8_find_best_rotation(MACROBLOCK *x, BLOCK *b, BLOCKD *d, int_mv *bestmv,
+                           int_mv *ref_mv, int *bri, int error_per_bit,
+                           const vp8_variance_fn_ptr_t *vfp, int *mvcost[2],
+                           int *distortion, unsigned int *sse1)
+{
+    unsigned char *z = (*(b->base_src) + b->src);
+
+    int ri;
+
+    int y_stride;
+
+    unsigned int besterr;
+    int br = bestmv->as_mv.row;
+    int bc = bestmv->as_mv.col;
+    unsigned char *y = *(d->base_pre) + d->pre + br * d->pre_stride + bc;
+    y_stride = d->pre_stride;
+
+    // calculate central point error
+    besterr = vfp->vf(y, y_stride, z, b->src_stride, sse1);
+    *distortion = besterr;
+
+    // find the best matching rotation
+    *bri = 5;
+    for (ri = 0; ri < ROTATIONS; ri++)
+    {
+        unsigned int this_err;
+        unsigned char pb[256];
+        predict_rotated_16x16(ri, y, y_stride, pb, 16);
+        this_err = vfp->vf(pb, 16, z, b->src_stride, sse1);
+
+        if (this_err < besterr)
+        {
+            *bri = ri;
+            besterr = this_err;
+        }
+    }
+    *sse1 = besterr;
+    *distortion = besterr;
+
+    return 0;
+}
+
+#endif
diff --git a/vp8/vp8_common.mk b/vp8/vp8_common.mk
index 4d81c58..1595142 100644
--- a/vp8/vp8_common.mk
+++ b/vp8/vp8_common.mk
@@ -73,6 +73,11 @@
 VP8_COMMON_SRCS-yes += common/swapyv12buffer.c
 VP8_COMMON_SRCS-$(CONFIG_POSTPROC_VISUALIZER) += common/textblit.c
 VP8_COMMON_SRCS-yes += common/treecoder.c
+VP8_COMMON_SRCS-yes += common/implicit_segmentation.c
+VP8_COMMON_SRCS-yes += common/implicit_segmentation.h
+VP8_COMMON_SRCS-yes += common/predict_rotated.c
+VP8_COMMON_SRCS-yes += common/rotate.h
+VP8_COMMON_SRCS-yes += common/rotate2.h
 
 VP8_COMMON_SRCS-$(ARCH_X86)$(ARCH_X86_64) += common/x86/idct_x86.h
 VP8_COMMON_SRCS-$(ARCH_X86)$(ARCH_X86_64) += common/x86/subpixel_x86.h
diff --git a/vp8/vp8cx.mk b/vp8/vp8cx.mk
index 8b39d12..ab3352a 100644
--- a/vp8/vp8cx.mk
+++ b/vp8/vp8cx.mk
@@ -87,9 +87,11 @@
 VP8_CX_SRCS-$(CONFIG_INTERNAL_STATS) += common/postproc.c
 VP8_CX_SRCS-yes += encoder/temporal_filter.c
 VP8_CX_SRCS-yes += encoder/temporal_filter.h
+VP8_CX_SRCS-yes += encoder/find_rotation.c
 VP8_CX_SRCS-yes += encoder/mbgraph.c
 VP8_CX_SRCS-yes += encoder/mbgraph.h
 
+
 ifeq ($(CONFIG_REALTIME_ONLY),yes)
 VP8_CX_SRCS_REMOVE-yes += encoder/firstpass.c
 VP8_CX_SRCS_REMOVE-yes += encoder/temporal_filter.c