summaryrefslogtreecommitdiff
path: root/vp8
diff options
context:
space:
mode:
authorJim Bankoski <jimbankoski@google.com>2012-01-23 09:55:23 -0800
committerJim Bankoski <jimbankoski@google.com>2012-01-24 11:20:13 -0800
commit91325b8fe75e2a0935e067df53f486ec5fe08d6a (patch)
treecfe2d3ed1a581c2e0e34208b6ed66d1e7abb6cd3 /vp8
parent5aab0c3fb736929762f4f082536a1691fe9941d8 (diff)
downloadlibvpx-91325b8fe75e2a0935e067df53f486ec5fe08d6a.tar
libvpx-91325b8fe75e2a0935e067df53f486ec5fe08d6a.tar.gz
libvpx-91325b8fe75e2a0935e067df53f486ec5fe08d6a.tar.bz2
libvpx-91325b8fe75e2a0935e067df53f486ec5fe08d6a.zip
vpn common -> implicit segmentation
This introduces base functions for introducing implicit segmentation. The code that actually stores the results to the segment map isn't here yet. This just prints out the segmentation map results if you call it. Uses connected component labeling technique on mbmi info so that only if 2 mbs are horizontally or vertically touching do they get the same segment. vp8next - plumbing for rotation code to produce taps for rotation ( tapify. py ), code for predicting using rotation ( predict_rotated.c ) , code for finding the best rotation find_rotation.c. didn't checkin code that uses this in the codec. still work in progress. Fixed copyright notice Change-Id: I450c13cfa41ab2fcb699f3897760370b4935fdf8
Diffstat (limited to 'vp8')
-rw-r--r--vp8/common/implicit_segmentation.c277
-rw-r--r--vp8/common/predict_rotated.c85
-rw-r--r--vp8/common/rotate.h2827
-rw-r--r--vp8/common/rotate2.h2827
-rwxr-xr-xvp8/common/tapify.py106
-rw-r--r--vp8/encoder/find_rotation.c58
-rw-r--r--vp8/vp8_common.mk5
-rw-r--r--vp8/vp8cx.mk2
8 files changed, 6187 insertions, 0 deletions
diff --git a/vp8/common/implicit_segmentation.c b/vp8/common/implicit_segmentation.c
new file mode 100644
index 000000000..3f72f8455
--- /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 000000000..0880bfb4c
--- /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 000000000..580f55279
--- /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 000000000..580f55279
--- /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 000000000..99529cff0
--- /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 000000000..742c0ba81
--- /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 4d81c5873..159514270 100644
--- a/vp8/vp8_common.mk
+++ b/vp8/vp8_common.mk
@@ -73,6 +73,11 @@ VP8_COMMON_SRCS-yes += common/setupintrarecon.c
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)$(ARCH_X86_64) += common/x86/subpixel_x86.h
diff --git a/vp8/vp8cx.mk b/vp8/vp8cx.mk
index 8b39d129b..ab3352a3f 100644
--- a/vp8/vp8cx.mk
+++ b/vp8/vp8cx.mk
@@ -87,9 +87,11 @@ VP8_CX_SRCS-$(CONFIG_INTERNAL_STATS) += common/postproc.h
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
generated by cgit v1.2.3 (git 2.25.1) at 2024-10-11 07:17:48 +0000