Improve accuracy of height filter.

Provide a script to regenerate geoid grid points for use by height.c

diff --git a/gpsbabel/Makefile.in b/gpsbabel/Makefile.in
index 624c31df93620dce7cabbc4acfd4023c407567fd..f408fa1a07d65425b25e77bcbe7c5f38490ffd3b 100644 (file)
--- a/gpsbabel/Makefile.in
+++ b/gpsbabel/Makefile.in
@@ -641,7 +641,8 @@ gtm.o: gtm.cc defs.h config.h queue.h gbtypes.h zlib/zlib.h zlib/zconf.h \
 gtrnctr.o: gtrnctr.cc defs.h config.h queue.h gbtypes.h zlib/zlib.h \
   zlib/zconf.h gbfile.h cet.h cet_util.h inifile.h session.h xmlgeneric.h
 height.o: height.cc defs.h config.h queue.h gbtypes.h zlib/zlib.h \
-  zlib/zconf.h gbfile.h cet.h cet_util.h inifile.h session.h filterdefs.h
+  zlib/zconf.h gbfile.h cet.h cet_util.h inifile.h session.h filterdefs.h \
+  height.h
 hiketech.o: hiketech.cc defs.h config.h queue.h gbtypes.h zlib/zlib.h \
   zlib/zconf.h gbfile.h cet.h cet_util.h inifile.h session.h xmlgeneric.h
 holux.o: holux.cc defs.h config.h queue.h gbtypes.h zlib/zlib.h \

diff --git a/gpsbabel/height.cc b/gpsbabel/height.cc
index 632681b159d8b13a648534e687dd9cc790e62a85..ba779595f69e1f0dc7123bf9afc447816c61841f 100644 (file)
--- a/gpsbabel/height.cc
+++ b/gpsbabel/height.cc
@@ -69,42 +69,20 @@ static double bilinear(double x1, double y1, double x2, double y2, double x, dou
 /* return geoid separation (MSL - WGS84) in meters, given a lat/lot in degrees */
 static double wgs84_separation(double lat, double lon)
 {
-#define GEOID_ROW      19
-#define GEOID_COL      37
-  static const char geoid_delta[GEOID_COL*GEOID_ROW]= {
-    /* 90S */ -30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30, -30,-30,-30,-30,-30,-30,-30,-30,-30,-30,-30,
-    /* 80S */ -53,-54,-55,-52,-48,-42,-38,-38,-29,-26,-26,-24,-23,-21,-19,-16,-12, -8, -4, -1,  1,  4,  4,  6,  5,  4,   2, -6,-15,-24,-33,-40,-48,-50,-53,-52,-53,
-    /* 70S */ -61,-60,-61,-55,-49,-44,-38,-31,-25,-16, -6,  1,  4,  5,  4,  2,  6, 12, 16, 16, 17, 21, 20, 26, 26, 22,  16, 10, -1,-16,-29,-36,-46,-55,-54,-59,-61,
-    /* 60S */ -45,-43,-37,-32,-30,-26,-23,-22,-16,-10, -2, 10, 20, 20, 21, 24, 22, 17, 16, 19, 25, 30, 35, 35, 33, 30,  27, 10, -2,-14,-23,-30,-33,-29,-35,-43,-45,
-    /* 50S */ -15,-18,-18,-16,-17,-15,-10,-10, -8, -2,  6, 14, 13,  3,  3, 10, 20, 27, 25, 26, 34, 39, 45, 45, 38, 39,  28, 13, -1,-15,-22,-22,-18,-15,-14,-10,-15,
-    /* 40S */  21,  6,  1, -7,-12,-12,-12,-10, -7, -1,  8, 23, 15, -2, -6,  6, 21, 24, 18, 26, 31, 33, 39, 41, 30, 24,  13, -2,-20,-32,-33,-27,-14, -2,  5, 20, 21,
-    /* 30S */  46, 22,  5, -2, -8,-13,-10, -7, -4,  1,  9, 32, 16,  4, -8,  4, 12, 15, 22, 27, 34, 29, 14, 15, 15,  7,  -9,-25,-37,-39,-23,-14, 15, 33, 34, 45, 46,
-    /* 20S */  51, 27, 10,  0, -9,-11, -5, -2, -3, -1,  9, 35, 20, -5, -6, -5,  0, 13, 17, 23, 21,  8, -9,-10,-11,-20, -40,-47,-45,-25,  5, 23, 45, 58, 57, 63, 51,
-    /* 10S */  36, 22, 11,  6, -1, -8,-10, -8,-11, -9,  1, 32,  4,-18,-13, -9,  4, 14, 12, 13, -2,-14,-25,-32,-38,-60, -75,-63,-26,  0, 35, 52, 68, 76, 64, 52, 36,
-    /* 00N */  22, 16, 17, 13,  1,-12,-23,-20,-14, -3, 14, 10,-15,-27,-18,  3, 12, 20, 18, 12,-13, -9,-28,-49,-62,-89,-102,-63, -9, 33, 58, 73, 74, 63, 50, 32, 22,
-    /* 10N */  13, 12, 11,  2,-11,-28,-38,-29,-10,  3,  1,-11,-41,-42,-16,  3, 17, 33, 22, 23,  2, -3, -7,-36,-59,-90, -95,-63,-24, 12, 53, 60, 58, 46, 36, 26, 13,
-    /* 20N */   5, 10,  7, -7,-23,-39,-47,-34, -9,-10,-20,-45,-48,-32, -9, 17, 25, 31, 31, 26, 15,  6,  1,-29,-44,-61, -67,-59,-36,-11, 21, 39, 49, 39, 22, 10,  5,
-    /* 30N */  -7, -5, -8,-15,-28,-40,-42,-29,-22,-26,-32,-51,-40,-17, 17, 31, 34, 44, 36, 28, 29, 17, 12,-20,-15,-40, -33,-34,-34,-28,  7, 29, 43, 20,  4, -6, -7,
-    /* 40N */ -12,-10,-13,-20,-31,-34,-21,-16,-26,-34,-33,-35,-26,  2, 33, 59, 52, 51, 52, 48, 35, 40, 33, -9,-28,-39, -48,-59,-50,-28,  3, 23, 37, 18, -1,-11,-12,
-    /* 50N */  -8,  8,  8,  1,-11,-19,-16,-18,-22,-35,-40,-26,-12, 24, 45, 63, 62, 59, 47, 48, 42, 28, 12,-10,-19,-33, -43,-42,-43,-29, -2, 17, 23, 22,  6,  2, -8,
-    /* 60N */   2,  9, 17, 10, 13,  1,-14,-30,-39,-46,-42,-21,  6, 29, 49, 65, 60, 57, 47, 41, 21, 18, 14,  7, -3,-22, -29,-32,-32,-26,-15, -2, 13, 17, 19,  6,  2,
-    /* 70N */   2,  2,  1, -1, -3, -7,-14,-24,-27,-25,-19,  3, 24, 37, 47, 60, 61, 58, 51, 43, 29, 20, 12,  5, -2,-10, -14,-12,-10,-14,-12, -6, -2,  3,  6,  4,  2,
-    /* 80N */   3,  1, -2, -3, -3, -3, -1,  3,  1,  5,  9, 11, 19, 27, 31, 34, 33, 34, 33, 34, 28, 23, 17, 13,  9,  4,   4,  1, -2, -2,  0,  2,  3,  2,  1,  1,  3,
-    /* 90N */  13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,  13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13
-  };
+#include "height.h"
   int  ilat, ilon;
   int  ilat1, ilat2, ilon1, ilon2;
 
   /* sanity checks to prevent segfault on bad data */
-  if ((lat > 90) || (lat < -90)) {
+  if ((lat > 90.0) || (lat < -90.0)) {
     fatal(MYNAME ": Invalid latitude value (%f)\n", lat);
   }
-  if ((lon > 180) || (lon < -180)) {
+  if ((lon > 180.0) || (lon < -180.0)) {
     fatal(MYNAME ": Invalid longitude value (%f)\n", lon);;
   }
 
-  ilat=(int)floor((90.+lat)/10);
-  ilon=(int)floor((180.+lon)/10);
+  ilat=(int)floor((90.0+lat)/GEOID_GRID_DEG);
+  ilon=(int)floor((180.0+lon)/GEOID_GRID_DEG);
 
   ilat1=ilat;
   ilon1=ilon;
@@ -112,13 +90,13 @@ static double wgs84_separation(double lat, double lon)
   ilon2=(ilon < GEOID_COL-1)? ilon+1:ilon;
 
   return bilinear(
-           ilon1*10.-180.,ilat1*10.-90.,
-           ilon2*10.-180.,ilat2*10.-90.,
+           ilon1*GEOID_GRID_DEG-180.0,ilat1*GEOID_GRID_DEG-90.0,
+           ilon2*GEOID_GRID_DEG-180.0,ilat2*GEOID_GRID_DEG-90.0,
            lon, lat,
-           (double)geoid_delta[ilon1+ilat1*GEOID_COL],
-           (double)geoid_delta[ilon2+ilat1*GEOID_COL],
-           (double)geoid_delta[ilon1+ilat2*GEOID_COL],
-           (double)geoid_delta[ilon2+ilat2*GEOID_COL]
+           (double)geoid_delta[ilon1+ilat1*GEOID_COL]/GEOID_SCALE,
+           (double)geoid_delta[ilon2+ilat1*GEOID_COL]/GEOID_SCALE,
+           (double)geoid_delta[ilon1+ilat2*GEOID_COL]/GEOID_SCALE,
+           (double)geoid_delta[ilon2+ilat2*GEOID_COL]/GEOID_SCALE
          );
 }
 

diff --git a/gpsbabel/height.h b/gpsbabel/height.h
new file mode 100644 (file)
index 0000000..aa6fdba
--- /dev/null
+++ b/gpsbabel/height.h
@@ -0,0 +1,207 @@
+/*
+    Copyright (C) 2013  Robert Lipe, robertlipe@usa.net
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program; if not, write to the Free Software
+    Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111 USA
+
+ */
+/* Created by "tools/createGeoidGrid 1.0 gbint8" using GeographicLib utility GeoidEval with egm96-5. */
+#define GEOID_GRID_DEG 1.0
+#define GEOID_SCALE 1.0
+#define GEOID_ROW 181
+#define GEOID_COL 361
+static const gbint8 geoid_delta[GEOID_COL*GEOID_ROW]= {
+  /*         -180,-179,-178,-177,-176,-175,-174,-173,-172,-171,-170,-169,-168,-167,-166,-165,-164,-163,-162,-161,-160,-159,-158,-157,-156,-155,-154,-153,-152,-151,-150,-149,-148,-147,-146,-145,-144,-143,-142,-141,-140,-139,-138,-137,-136,-135,-134,-133,-132,-131,-130,-129,-128,-127,-126,-125,-124,-123,-122,-121,-120,-119,-118,-117,-116,-115,-114,-113,-112,-111,-110,-109,-108,-107,-106,-105,-104,-103,-102,-101,-100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88, -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72, -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10,  -9,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180 */
+  /* -90.0 */ -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30,
+  /* -89.0 */ -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30,
+  /* -88.0 */ -30, -30, -30, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -28, -28, -28, -28, -28, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -28, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -26, -26, -26, -26, -26, -26, -26, -26, -26, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -25, -26, -26, -26, -26, -26, -26, -26, -26, -26, -27, -27, -27, -27, -27, -27, -27, -27, -28, -28, -28, -28, -28, -28, -28, -28, -28, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -29, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -30, -30, -30, -30, -30, -30, -30,
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+  /* -78.0 */ -56, -56, -57, -57, -57, -57, -57, -56, -56, -56, -57, -57, -57, -56, -56, -56, -56, -56, -56, -56, -55, -54, -54, -54, -53, -53, -53, -54, -54, -54, -53, -52, -52, -52, -51, -51, -51, -50, -51, -51, -51, -51, -49, -48, -47, -46, -46, -45, -45, -44, -42, -41, -40, -40, -39, -40, -40, -39, -39, -38, -38, -37, -36, -36, -35, -35, -35, -35, -34, -34, -34, -34, -34, -34, -34, -33, -33, -32, -31, -31, -31, -30, -29, -28, -27, -26, -24, -22, -21, -20, -19, -17, -15, -13, -15, -18, -22, -24, -24, -22, -21, -20, -20, -21, -21, -21, -21, -20, -19, -19, -19, -19, -18, -18, -17, -17, -17, -17, -17, -17, -16, -16, -16, -16, -16, -16, -16, -15, -16, -16, -16, -15, -14, -14, -14, -14, -15, -15, -15, -15, -15, -14, -14, -14, -13, -11, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -6,  -6,  -6,  -5,  -5,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -1,  -1,  -2,  -3,  -2,  -2,  -1,  -0,   0,   1,   1,   2,   2,   2,   3,   3,   4,   4,   4,   5,   6,   6,   7,   7,   7,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  11,  10,  10,   9,   9,   9,   9,   8,   8,   7,   7,   6,   6,   6,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   2,   2,   1,   1,  -0,  -1,  -2,  -2,  -2,  -2,  -3,  -4,  -5,  -6,  -8,  -9, -10, -12, -13, -14, -15, -17, -18, -20, -22, -22, -22, -22, -23, -24, -25, -26, -27, -29, -30, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -42, -42, -42, -43, -44, -44, -45, -46, -47, -49, -50, -50, -51, -51, -52, -53, -54, -55, -55, -56, -56, -57, -57, -57, -56, -56, -56, -55, -55, -54, -53, -52, -52, -53, -54, -55, -55, -54, -53, -53, -53, -54, -54, -54, -54, -54, -54, -54, -54, -54, -54, -55, -56, -56,
+  /* -77.0 */ -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -59, -59, -59, -59, -58, -57, -57, -57, -57, -56, -56, -56, -56, -55, -55, -55, -55, -54, -53, -53, -52, -51, -50, -49, -48, -47, -46, -46, -45, -44, -43, -43, -43, -42, -42, -41, -40, -39, -38, -37, -36, -36, -37, -37, -38, -37, -37, -37, -37, -36, -36, -36, -36, -35, -35, -35, -35, -35, -34, -34, -33, -32, -32, -31, -31, -30, -29, -28, -27, -26, -26, -25, -24, -23, -22, -21, -21, -20, -19, -18, -18, -18, -20, -20, -20, -18, -17, -16, -17, -19, -21, -21, -20, -19, -19, -18, -18, -18, -17, -17, -17, -17, -17, -16, -15, -15, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -10,  -9,  -7,  -5,  -5,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -2,  -1,   0,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   2,   2,   2,   1,   1,   2,   2,   3,   4,   4,   4,   5,   5,   6,   6,   6,   6,   7,   8,   9,   9,  10,  10,  10,  11,  11,  12,  12,  13,  13,  13,  13,  13,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  11,  11,  11,  11,  10,  10,   9,   9,  10,  10,  10,   9,   8,   7,   7,   6,   6,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   2,   2,   2,   1,   1,   0,   0,  -0,  -1,  -2,  -3,  -4,  -5,  -7,  -8,  -9, -10, -12, -14, -16, -18, -19, -19, -19, -19, -20, -20, -21, -22, -24, -26, -27, -29, -30, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -42, -42, -42, -44, -45, -45, -46, -48, -49, -50, -50, -50, -51, -52, -53, -54, -55, -56, -56, -57, -57, -58, -58, -57, -57, -57, -56, -56, -55, -55, -54, -53, -52, -53, -54, -55, -55, -55, -55, -55, -55, -55, -56, -57, -57, -56, -55, -55, -56, -56, -57, -57, -57, -58,
+  /* -76.0 */ -60, -60, -60, -60, -60, -60, -59, -59, -59, -59, -59, -59, -59, -59, -59, -60, -61, -62, -62, -62, -63, -63, -63, -63, -63, -63, -61, -60, -58, -57, -56, -55, -54, -54, -53, -52, -50, -49, -48, -47, -45, -44, -43, -43, -42, -41, -41, -40, -41, -41, -40, -38, -37, -36, -36, -36, -36, -36, -37, -37, -37, -36, -36, -36, -36, -35, -33, -32, -32, -32, -32, -32, -31, -30, -30, -29, -28, -28, -27, -27, -26, -26, -25, -25, -24, -23, -23, -22, -22, -22, -21, -20, -19, -19, -19, -19, -19, -19, -18, -18, -18, -18, -19, -18, -18, -17, -18, -18, -17, -15, -13, -13, -13, -13, -14, -15, -15, -14, -13, -12, -12, -13, -13, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -2,  -1,  -1,  -1,  -1,  -0,   1,   3,   4,   5,   5,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   7,   7,   8,   8,   8,   9,   9,  10,  10,  10,  11,  12,  12,  12,  13,  13,  13,  14,  14,  15,  15,  15,  15,  15,  15,  15,  14,  13,  12,  13,  13,  13,  13,  12,  12,  12,  13,  13,  13,  13,  12,  12,  12,  12,  12,  13,  13,  13,  14,  13,  13,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  10,   9,   8,   7,   7,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   3,   4,   4,   3,   0,  -2,  -4,  -5,  -5,  -6,  -7,  -8,  -9, -10, -12, -13, -15, -16, -17, -18, -18, -19, -20, -21, -23, -24, -26, -28, -29, -30, -32, -33, -35, -35, -36, -37, -37, -38, -39, -40, -41, -41, -41, -42, -43, -45, -46, -47, -49, -50, -50, -50, -50, -51, -52, -53, -54, -55, -56, -56, -57, -57, -58, -58, -58, -58, -57, -57, -56, -56, -57, -57, -56, -55, -54, -55, -57, -58, -58, -58, -57, -57, -57, -57, -58, -58, -58, -58, -57, -58, -58, -58, -59, -59, -60,
+  /* -75.0 */ -62, -62, -62, -63, -63, -63, -63, -63, -63, -63, -63, -63, -63, -63, -63, -63, -64, -64, -64, -64, -64, -64, -64, -64, -63, -63, -63, -63, -62, -62, -62, -61, -60, -58, -56, -54, -52, -51, -50, -49, -48, -47, -47, -46, -44, -44, -44, -44, -44, -43, -42, -40, -39, -39, -39, -38, -38, -37, -37, -37, -36, -36, -36, -37, -36, -35, -33, -32, -31, -30, -30, -29, -29, -28, -27, -27, -26, -26, -26, -26, -25, -25, -24, -23, -22, -21, -21, -21, -20, -20, -19, -19, -18, -18, -17, -17, -17, -17, -16, -16, -15, -15, -16, -15, -13, -12, -10,  -9,  -8,  -7,  -6,  -6,  -5,  -5,  -6,  -9, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,   0,   2,   3,   4,   5,   6,   8,   9,  10,  10,  10,  11,  11,  11,  11,  11,  11,  10,   9,   9,   9,  10,  11,  11,  11,  11,  12,  13,  13,  13,  14,  14,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  16,  16,  15,  15,  15,  16,  16,  16,  15,  14,  15,  16,  16,  16,  16,  16,  16,  16,  15,  15,  16,  17,  17,  16,  15,  15,  15,  14,  14,  14,  13,  12,  12,  12,  13,  13,  13,  12,  11,  10,   9,   9,   9,   8,   8,   8,   8,   8,   7,   7,   7,   6,   6,   6,   6,   6,   5,   5,   5,   4,   2,  -0,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -11, -12, -14, -15, -16, -17, -18, -19, -21, -23, -25, -26, -27, -29, -30, -31, -32, -33, -34, -35, -36, -36, -37, -37, -38, -39, -41, -42, -42, -43, -43, -45, -46, -48, -48, -48, -48, -49, -50, -51, -51, -52, -53, -54, -55, -55, -56, -57, -57, -57, -58, -58, -58, -58, -58, -58, -58, -58, -59, -58, -56, -54, -54, -55, -57, -58, -58, -58, -58, -58, -59, -59, -59, -59, -59, -59, -59, -59, -60, -61, -62,
+  /* -74.0 */ -61, -62, -63, -63, -64, -65, -65, -65, -65, -66, -66, -65, -65, -65, -65, -65, -65, -65, -65, -65, -65, -64, -64, -64, -63, -63, -63, -63, -62, -62, -61, -61, -60, -59, -59, -58, -58, -57, -56, -55, -53, -51, -50, -49, -49, -49, -49, -47, -45, -43, -43, -43, -41, -40, -39, -39, -38, -38, -37, -37, -37, -37, -38, -38, -38, -36, -35, -33, -32, -31, -31, -30, -30, -29, -28, -28, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -19, -19, -18, -18, -18, -17, -16, -16, -16, -16, -17, -16, -16, -14, -13, -13, -13, -12, -11, -10,  -8,  -7,  -6,  -6,  -5,  -3,  -2,  -1,  -1,  -1,  -2,  -4,  -6,  -7,  -7,  -7,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -2,  -1,  -1,  -0,  -0,  -1,  -1,  -1,  -2,  -2,  -1,  -1,  -0,   1,   1,   2,   2,   3,   3,   3,   4,   5,   6,   7,   7,   8,   9,  10,  11,  13,  14,  14,  13,  13,  12,  11,  11,  12,  13,  14,  14,  15,  15,  16,  16,  16,  17,  17,  18,  18,  18,  18,  19,  19,  19,  19,  19,  18,  18,  18,  18,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  19,  19,  20,  20,  20,  20,  20,  19,  18,  18,  18,  19,  19,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  18,  18,  17,  16,  14,  12,  12,  12,  13,  13,  13,  12,  11,  10,  10,   9,   9,   9,   8,   8,   7,   7,   6,   5,   5,   4,   3,   1,  -0,  -2,  -3,  -4,  -6,  -7,  -8,  -9, -11, -12, -14, -15, -17, -18, -20, -21, -24, -26, -27, -28, -29, -29, -30, -31, -32, -33, -34, -35, -36, -36, -37, -38, -39, -40, -41, -42, -42, -42, -44, -46, -47, -46, -45, -46, -47, -49, -50, -50, -50, -51, -51, -52, -53, -55, -56, -56, -57, -57, -58, -58, -58, -58, -59, -59, -59, -58, -57, -55, -53, -50, -48, -49, -53, -56, -58, -59, -58, -59, -59, -59, -59, -59, -59, -60, -60, -60, -61, -61,
+  /* -73.0 */ -61, -61, -62, -63, -64, -64, -65, -65, -66, -66, -66, -66, -66, -65, -65, -65, -65, -65, -65, -65, -64, -64, -64, -64, -63, -63, -63, -62, -62, -61, -61, -60, -60, -59, -58, -58, -57, -57, -56, -55, -55, -54, -53, -52, -52, -51, -50, -50, -49, -47, -46, -45, -44, -42, -40, -40, -40, -39, -38, -38, -37, -36, -36, -35, -35, -35, -34, -34, -33, -33, -32, -32, -31, -31, -29, -28, -27, -26, -25, -25, -24, -23, -22, -22, -22, -21, -21, -21, -20, -18, -18, -18, -18, -17, -17, -17, -16, -16, -15, -15, -14, -13, -12, -11, -10,  -9,  -8,  -7,  -5,  -3,  -2,  -1,   0,   1,   2,   3,   3,   2,  -1,  -3,  -4,  -4,  -4,  -5,  -4,  -3,  -3,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -2,  -2,  -2,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -1,   0,   1,   2,   3,   4,   6,   7,   7,   7,   7,   8,   8,   8,   9,  11,  13,  15,  15,  14,  13,  12,  13,  13,  14,  15,  16,  17,  18,  18,  19,  18,  18,  18,  18,  19,  19,  19,  19,  19,  20,  20,  20,  20,  20,  19,  19,  20,  23,  23,  22,  21,  21,  21,  20,  21,  22,  22,  22,  21,  22,  22,  23,  23,  24,  23,  22,  22,  21,  21,  21,  22,  22,  21,  21,  20,  20,  19,  19,  19,  19,  19,  19,  20,  21,  21,  20,  20,  20,  20,  20,  19,  17,  14,  12,  13,  14,  15,  16,  16,  14,  13,  13,  13,  12,  11,  11,  10,   9,   8,   7,   6,   5,   5,   4,   3,   2,   0,  -0,  -1,  -3,  -5,  -7,  -8,  -9, -11, -13, -15, -17, -18, -20, -22, -24, -27, -28, -29, -28, -29, -30, -31, -31, -32, -33, -33, -34, -35, -36, -37, -38, -39, -40, -40, -38, -39, -41, -43, -43, -43, -43, -45, -46, -48, -50, -49, -49, -49, -50, -51, -52, -53, -54, -55, -56, -57, -57, -57, -58, -58, -58, -59, -58, -58, -56, -55, -54, -52, -51, -51, -52, -55, -58, -58, -57, -57, -58, -58, -58, -58, -59, -60, -61, -61, -61, -61,
+  /* -72.0 */ -62, -62, -62, -62, -63, -64, -65, -66, -66, -66, -66, -65, -65, -65, -65, -65, -64, -64, -64, -64, -63, -63, -63, -63, -62, -62, -62, -61, -61, -60, -60, -59, -59, -59, -58, -57, -56, -56, -55, -54, -54, -53, -52, -52, -51, -51, -50, -49, -48, -47, -46, -45, -45, -44, -44, -43, -42, -41, -40, -39, -38, -37, -35, -34, -33, -33, -33, -33, -32, -32, -31, -31, -30, -30, -29, -28, -27, -26, -25, -24, -23, -23, -22, -21, -21, -22, -22, -22, -20, -18, -17, -17, -17, -16, -15, -15, -15, -14, -13, -13, -12, -12, -11, -10,  -9,  -7,  -6,  -4,  -2,  -0,   2,   2,   3,   4,   6,   7,   7,   6,   3,   1,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,   0,   1,   2,   4,   6,   7,   8,   8,   8,   9,  10,  10,  10,  12,  14,  14,  13,  13,  13,  12,  12,  13,  13,  14,  16,  17,  18,  17,  17,  16,  15,  16,  15,  15,  16,  16,  16,  17,  18,  17,  17,  18,  19,  20,  21,  23,  23,  21,  20,  21,  22,  22,  22,  22,  23,  25,  26,  26,  26,  26,  26,  25,  25,  24,  22,  21,  22,  23,  24,  24,  24,  24,  23,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  21,  21,  20,  18,  16,  14,  13,  13,  13,  13,  14,  15,  15,  15,  15,  15,  14,  13,  13,  12,  11,  10,   9,   8,   6,   5,   5,   4,   3,   2,   1,  -1,  -3,  -5,  -6,  -8,  -9, -11, -12, -14, -16, -17, -19, -20, -22, -24, -26, -27, -27, -28, -29, -30, -31, -32, -32, -32, -32, -33, -34, -35, -36, -37, -38, -37, -37, -38, -39, -40, -40, -41, -42, -43, -45, -48, -50, -51, -51, -50, -50, -51, -52, -52, -53, -54, -55, -56, -57, -57, -57, -58, -57, -57, -57, -56, -54, -53, -55, -56, -57, -56, -55, -55, -56, -55, -53, -54, -56, -58, -58, -58, -59, -60, -61, -61, -62, -62,
+  /* -71.0 */ -61, -61, -62, -63, -64, -65, -65, -65, -64, -65, -66, -65, -64, -64, -64, -64, -63, -63, -63, -63, -62, -62, -62, -61, -61, -61, -61, -60, -60, -59, -59, -58, -58, -57, -57, -56, -56, -55, -54, -53, -53, -52, -51, -51, -50, -49, -48, -47, -47, -46, -45, -44, -43, -43, -42, -42, -41, -40, -40, -40, -39, -39, -38, -38, -37, -36, -36, -35, -34, -34, -33, -32, -32, -30, -28, -27, -27, -26, -25, -24, -24, -23, -22, -22, -22, -21, -20, -18, -17, -17, -16, -15, -14, -14, -14, -14, -14, -13, -12, -11, -11, -10, -10,  -8,  -7,  -6,  -4,  -3,  -1,   0,   3,   4,   5,   7,  10,  11,  11,  10,   8,   5,   4,   3,   2,   1,   1,  -0,  -1,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   3,   5,   7,   8,  10,  11,  11,  11,  11,  11,  11,  10,  11,  11,  11,  13,  13,  13,  12,  13,  13,  14,  14,  14,  13,  12,  12,  11,  11,  11,  12,  13,  14,  15,  16,  16,  16,  18,  20,  22,  22,  22,  22,  21,  20,  20,  21,  22,  22,  21,  21,  21,  22,  22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  24,  25,  25,  26,  26,  25,  24,  23,  23,  23,  23,  22,  23,  23,  22,  21,  23,  25,  25,  25,  23,  21,  18,  15,  15,  16,  16,  16,  16,  16,  16,  15,  16,  16,  15,  15,  14,  13,  12,  11,  10,   9,   8,   7,   6,   5,   3,   1,  -1,  -2,  -4,  -5,  -6,  -7,  -9, -10, -11, -13, -14, -15, -17, -18, -19, -20, -22, -24, -25, -26, -27, -27, -28, -29, -30, -31, -31, -32, -32, -33, -34, -34, -35, -35, -36, -37, -38, -39, -39, -40, -42, -43, -44, -46, -47, -48, -49, -49, -50, -51, -52, -52, -52, -53, -55, -56, -57, -57, -57, -58, -57, -57, -57, -56, -54, -55, -57, -59, -59, -60, -59, -58, -58, -58, -57, -57, -58, -59, -59, -59, -59, -60, -61, -61, -61, -61,
+  /* -70.0 */ -62, -62, -63, -64, -64, -64, -64, -64, -63, -63, -63, -63, -63, -63, -62, -62, -62, -62, -62, -62, -61, -61, -61, -60, -60, -60, -60, -59, -58, -58, -57, -57, -56, -56, -55, -55, -54, -54, -53, -52, -52, -51, -50, -49, -48, -47, -47, -46, -45, -45, -44, -43, -42, -41, -40, -40, -40, -40, -39, -38, -37, -36, -36, -36, -35, -35, -34, -34, -34, -33, -33, -33, -32, -32, -31, -31, -30, -29, -28, -27, -26, -26, -27, -27, -27, -25, -22, -21, -22, -22, -21, -19, -17, -15, -13, -12, -11, -10, -10, -10, -10,  -9,  -7,  -6,  -4,  -4,  -3,  -2,   0,   2,   4,   5,   7,  10,  12,  13,  13,  11,   8,   6,   5,   4,   4,   4,   2,   1,  -1,  -1,  -1,  -0,   0,   1,   1,   1,   1,   2,   2,   2,   2,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   4,   4,   4,   5,   6,   7,   8,   9,  10,  10,  10,  10,  11,  11,  10,  11,  13,  14,  14,  14,  15,  15,  15,  15,  15,  14,  14,  14,  14,  16,  17,  17,  17,  18,  18,  17,  16,  16,  17,  19,  20,  21,  21,  21,  21,  20,  20,  21,  21,  20,  21,  22,  21,  21,  20,  19,  20,  21,  22,  23,  25,  27,  27,  26,  27,  27,  26,  27,  27,  28,  28,  28,  27,  26,  26,  26,  25,  26,  26,  25,  26,  28,  28,  26,  24,  22,  20,  17,  17,  17,  17,  17,  17,  16,  16,  16,  15,  16,  16,  15,  14,  14,  13,  12,  11,  11,   9,   8,   8,   7,   6,   4,   3,   1,  -1,  -2,  -4,  -6,  -7,  -9, -10, -12, -13, -14, -16, -17, -18, -18, -19, -19, -22, -24, -24, -25, -26, -27, -28, -29, -30, -30, -31, -32, -32, -33, -34, -34, -36, -37, -37, -38, -38, -39, -42, -44, -44, -43, -43, -44, -45, -46, -47, -49, -51, -51, -51, -52, -54, -55, -55, -56, -57, -56, -56, -56, -56, -55, -55, -56, -57, -57, -57, -57, -57, -58, -59, -59, -59, -59, -58, -58, -59, -59, -59, -60, -60, -61, -61, -62,
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+  /* -68.0 */ -58, -59, -60, -61, -61, -62, -61, -60, -59, -58, -58, -58, -58, -58, -57, -57, -57, -56, -56, -56, -56, -56, -56, -56, -56, -55, -55, -55, -55, -54, -54, -53, -53, -52, -52, -51, -50, -50, -49, -49, -48, -48, -47, -46, -46, -45, -44, -44, -43, -42, -41, -40, -40, -39, -38, -38, -37, -37, -36, -36, -36, -35, -35, -34, -33, -33, -32, -32, -31, -31, -30, -30, -30, -29, -29, -28, -28, -28, -27, -26, -26, -25, -24, -24, -23, -22, -22, -21, -20, -19, -18, -17, -16, -15, -14, -14, -13, -12, -11, -11, -10,  -9,  -8,  -7,  -5,  -3,  -1,   1,   2,   3,   5,   6,   7,   7,   8,   8,   9,   9,   9,   8,   9,   8,   9,  10,   9,   8,   7,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   8,   8,   8,   9,  10,  10,  10,  10,  11,  11,  11,  12,  12,  12,  13,  13,  14,  14,  15,  16,  15,  14,  15,  15,  15,  14,  14,  15,  15,  15,  15,  15,  16,  16,  16,  16,  17,  17,  18,  19,  22,  23,  23,  23,  24,  25,  25,  25,  25,  25,  24,  25,  26,  26,  27,  29,  30,  32,  35,  36,  37,  38,  38,  36,  34,  34,  34,  32,  31,  30,  30,  30,  29,  28,  27,  27,  25,  24,  23,  21,  20,  19,  18,  17,  17,  17,  18,  17,  16,  15,  15,  14,  13,  13,  12,  10,  10,  11,   9,   9,  10,   9,   7,   6,   4,   2,   1,  -2,  -3,  -5,  -8,  -9, -11, -12, -13, -14, -16, -17, -18, -18, -18, -18, -19, -22, -24, -25, -26, -26, -27, -28, -29, -29, -29, -30, -31, -34, -35, -36, -37, -37, -37, -37, -37, -39, -41, -41, -41, -41, -41, -43, -44, -45, -46, -48, -49, -50, -51, -52, -52, -52, -53, -53, -52, -51, -51, -51, -51, -53, -53, -54, -55, -55, -55, -55, -55, -55, -55, -55, -56, -56, -57, -57, -57, -58, -58, -59, -59, -59, -58,
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+  /* -62.0 */ -49, -49, -49, -48, -48, -48, -47, -47, -46, -46, -45, -45, -44, -44, -43, -43, -42, -42, -42, -41, -41, -40, -40, -40, -39, -39, -38, -38, -38, -37, -37, -37, -37, -36, -36, -36, -36, -36, -36, -36, -35, -35, -35, -34, -34, -34, -33, -33, -33, -32, -32, -32, -31, -31, -31, -30, -30, -30, -29, -29, -28, -27, -27, -27, -26, -26, -26, -26, -25, -25, -25, -24, -24, -23, -23, -22, -22, -21, -21, -21, -20, -19, -19, -18, -17, -16, -16, -15, -15, -14, -13, -12, -12, -11, -10, -10,  -9,  -8,  -7,  -6,  -5,  -3,  -2,  -1,   1,   2,   3,   4,   6,   7,   8,  10,  12,  13,  14,  15,  15,  14,  14,  15,  18,  21,  22,  22,  22,  23,  23,  22,  21,  20,  20,  20,  20,  21,  22,  23,  22,  22,  21,  19,  19,  19,  20,  20,  20,  20,  19,  20,  19,  20,  19,  19,  19,  19,  18,  18,  18,  17,  16,  16,  16,  15,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  15,  16,  17,  18,  19,  20,  20,  21,  22,  23,  23,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  25,  25,  25,  26,  26,  26,  26,  27,  27,  28,  29,  30,  30,  31,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  30,  30,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  29,  28,  28,  28,  28,  27,  27,  26,  26,  25,  25,  24,  23,  22,  22,  22,  21,  21,  20,  19,  17,  15,  13,  12,  10,   9,   7,   6,   4,   2,   1,  -0,  -1,  -2,  -3,  -5,  -6,  -7,  -8,  -9,  -9, -10, -11, -13, -14, -15, -16, -18, -19, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -32, -33, -34, -34, -35, -35, -36, -36, -36, -37, -37, -38, -38, -38, -39, -39, -38, -37, -37, -37, -37, -37, -36, -36, -36, -36, -35, -35, -34, -35, -35, -35, -35, -35, -36, -37, -37, -38, -39, -39, -40, -41, -42, -43, -45, -47, -48, -48, -48, -48, -49, -49, -49, -49, -49, -49,
+  /* -61.0 */ -48, -47, -47, -47, -47, -46, -46, -45, -45, -45, -44, -43, -43, -43, -42, -42, -41, -41, -40, -40, -39, -39, -38, -37, -37, -36, -36, -35, -35, -35, -35, -34, -34, -34, -34, -34, -34, -33, -33, -33, -33, -32, -32, -32, -32, -32, -31, -30, -30, -30, -29, -29, -28, -28, -28, -29, -28, -27, -27, -26, -26, -25, -25, -25, -25, -25, -24, -24, -24, -24, -24, -23, -22, -22, -21, -21, -21, -20, -20, -19, -18, -18, -17, -17, -16, -15, -15, -14, -14, -13, -12, -12, -11, -10,  -9,  -8,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -0,   1,   2,   3,   5,   7,   8,   9,  11,  12,  14,  15,  17,  17,  18,  18,  18,  17,  16,  15,  16,  21,  23,  24,  24,  22,  21,  21,  21,  21,  23,  25,  26,  26,  24,  21,  18,  20,  20,  21,  22,  21,  22,  22,  22,  22,  22,  22,  22,  21,  19,  17,  17,  17,  16,  17,  18,  18,  18,  17,  17,  16,  16,  16,  16,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  24,  24,  24,  24,  25,  25,  25,  25,  25,  25,  26,  26,  26,  27,  28,  28,  28,  28,  28,  29,  29,  30,  31,  31,  32,  32,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  32,  32,  32,  31,  31,  31,  30,  30,  30,  30,  29,  29,  28,  28,  27,  27,  26,  26,  25,  25,  24,  24,  23,  23,  22,  21,  19,  17,  14,  12,  11,   9,   8,   6,   5,   3,   2,   1,   0,  -1,  -2,  -4,  -5,  -6,  -7,  -8,  -8,  -9, -10, -11, -13, -14, -15, -16, -17, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -30, -31, -31, -32, -33, -33, -34, -34, -35, -35, -35, -35, -35, -35, -35, -35, -35, -35, -34, -34, -34, -34, -33, -33, -33, -33, -32, -31, -32, -32, -33, -33, -33, -33, -34, -35, -36, -37, -38, -39, -40, -41, -43, -45, -45, -46, -46, -47, -47, -48, -48, -48, -48, -48, -48, -48,
+  /* -60.0 */ -46, -46, -46, -45, -45, -45, -44, -44, -44, -43, -43, -43, -42, -41, -41, -40, -40, -39, -39, -38, -37, -37, -36, -35, -35, -34, -34, -33, -33, -33, -32, -32, -32, -32, -31, -31, -31, -31, -31, -30, -30, -30, -30, -30, -29, -29, -29, -28, -28, -27, -27, -27, -27, -26, -26, -25, -25, -24, -24, -24, -24, -23, -23, -23, -23, -23, -23, -23, -23, -23, -23, -22, -21, -21, -20, -20, -20, -19, -18, -18, -17, -16, -16, -15, -14, -14, -14, -13, -12, -12, -11, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -5,  -4,  -4,  -2,  -1,   0,   1,   2,   4,   6,   7,   8,   9,  12,  13,  15,  16,  17,  17,  18,  18,  19,  20,  21,  21,  20,  20,  20,  21,  21,  21,  20,  20,  19,  18,  19,  17,  16,  16,  18,  20,  21,  22,  21,  20,  21,  22,  23,  23,  23,  24,  24,  24,  23,  22,  18,  13,  10,  13,  18,  20,  20,  21,  21,  21,  21,  20,  19,  18,  18,  18,  17,  17,  16,  16,  16,  16,  15,  15,  15,  16,  15,  15,  16,  16,  16,  16,  17,  17,  17,  18,  19,  20,  21,  22,  23,  23,  24,  24,  25,  25,  25,  25,  26,  26,  26,  26,  27,  28,  28,  29,  29,  29,  29,  29,  30,  31,  32,  32,  32,  33,  33,  34,  34,  34,  35,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  33,  33,  33,  32,  32,  31,  31,  31,  31,  31,  31,  30,  29,  29,  28,  27,  27,  27,  28,  27,  26,  26,  25,  25,  24,  22,  21,  17,  14,  12,  11,  10,   9,   8,   7,   5,   4,   3,   2,   0,  -1,  -2,  -3,  -4,  -5,  -7,  -7,  -8,  -9, -10, -11, -12, -14, -15, -16, -17, -18, -20, -21, -22, -23, -24, -25, -26, -26, -27, -28, -28, -29, -30, -30, -31, -31, -32, -32, -33, -33, -33, -33, -33, -33, -33, -33, -33, -32, -32, -31, -31, -31, -30, -30, -30, -30, -29, -29, -30, -31, -31, -31, -31, -31, -33, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -44, -45, -46, -46, -46, -47, -47, -47, -47, -46, -46,
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+  /* -58.0 */ -43, -43, -43, -42, -42, -42, -41, -41, -41, -40, -40, -39, -38, -38, -37, -37, -36, -35, -34, -34, -33, -33, -32, -31, -31, -30, -30, -29, -29, -28, -28, -28, -27, -27, -27, -27, -27, -27, -26, -26, -26, -26, -26, -25, -25, -25, -24, -23, -23, -23, -22, -22, -21, -21, -21, -21, -21, -20, -20, -20, -20, -20, -19, -20, -20, -20, -19, -19, -19, -19, -19, -18, -18, -17, -17, -17, -16, -16, -15, -15, -14, -14, -13, -13, -12, -11, -11, -11, -10,  -9,  -8,  -8,  -8,  -7,  -6,  -6,  -5,  -4,  -3,  -2,  -1,  -0,   1,   1,   3,   4,   5,   7,   8,  10,  11,  13,  13,  15,  15,  16,  16,  17,  18,  19,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  20,  20,  20,  20,  20,  20,  19,  19,  20,  20,  20,  20,  21,  21,  22,  22,  23,  24,  24,  24,  23,  22,  20,  15,  10,  15,  18,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  20,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  20,  21,  22,  23,  23,  24,  25,  26,  26,  27,  28,  27,  28,  28,  29,  29,  30,  31,  32,  32,  33,  33,  34,  34,  35,  35,  36,  37,  37,  37,  37,  37,  37,  38,  38,  37,  37,  37,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  34,  34,  34,  34,  33,  32,  31,  32,  31,  31,  30,  30,  30,  30,  30,  30,  30,  29,  28,  28,  26,  25,  23,  21,  18,  16,  15,  15,  14,  13,  12,  10,   9,   8,   7,   6,   4,   3,   1,  -0,  -1,  -2,  -4,  -5,  -6,  -7,  -8,  -9, -10, -11, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -24, -25, -26, -26, -27, -27, -28, -28, -28, -29, -29, -29, -29, -29, -29, -29, -29, -28, -28, -28, -27, -27, -27, -26, -26, -26, -26, -26, -26, -26, -26, -27, -27, -28, -28, -32, -32, -28, -31, -32, -34, -35, -36, -37, -38, -39, -39, -41, -41, -42, -42, -42, -42, -42, -42, -43, -43, -43, -43,
+  /* -57.0 */ -40, -40, -40, -40, -39, -39, -39, -39, -39, -38, -37, -37, -36, -36, -35, -35, -34, -33, -33, -32, -31, -31, -30, -30, -29, -28, -28, -27, -27, -27, -26, -26, -26, -25, -25, -25, -25, -25, -25, -24, -23, -23, -22, -22, -22, -22, -22, -21, -21, -21, -20, -20, -20, -20, -19, -19, -18, -18, -19, -19, -19, -18, -18, -17, -17, -17, -17, -17, -17, -16, -16, -16, -16, -16, -16, -15, -15, -14, -13, -13, -13, -12, -12, -12, -11, -11, -11, -10,  -9,  -9,  -9,  -8,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -1,  -0,   1,   2,   3,   4,   5,   6,   6,   7,   8,   8,   9,  12,  14,  13,  14,  15,  16,  17,  18,  19,  20,  20,  20,  20,  19,  18,  19,  19,  18,  18,  18,  19,  19,  18,  19,  18,  18,  18,  19,  19,  20,  20,  20,  21,  21,  21,  22,  23,  23,  23,  23,  22,  20,  16,   8,   9,  16,  19,  20,  20,  20,  20,  20,  21,  21,  21,  21,  22,  22,  23,  23,  24,  24,  24,  25,  24,  23,  23,  23,  23,  22,  22,  22,  22,  21,  20,  20,  19,  20,  20,  20,  20,  21,  22,  23,  25,  25,  26,  27,  28,  28,  29,  29,  29,  29,  30,  30,  31,  32,  32,  33,  34,  34,  35,  36,  36,  37,  38,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  37,  37,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  35,  34,  34,  34,  32,  31,  31,  30,  29,  29,  28,  26,  23,  20,  19,  18,  17,  16,  16,  15,  13,  12,  11,  10,   9,   8,   6,   5,   4,   2,   1,  -1,  -2,  -3,  -4,  -5,  -7,  -8,  -9, -10, -11, -12, -14, -15, -16, -17, -18, -19, -20, -21, -22, -22, -23, -24, -24, -25, -26, -26, -26, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -26, -25, -25, -25, -24, -24, -24, -24, -24, -24, -24, -25, -25, -25, -26, -26, -30, -30, -27, -30, -29, -31, -33, -34, -35, -36, -36, -37, -38, -38, -39, -39, -40, -40, -40, -40, -40, -40, -40, -40,
+  /* -56.0 */ -37, -37, -38, -37, -37, -37, -37, -36, -36, -35, -35, -34, -34, -33, -33, -32, -32, -31, -30, -30, -30, -29, -28, -27, -27, -27, -26, -26, -25, -25, -24, -24, -24, -24, -23, -23, -23, -23, -22, -21, -21, -20, -20, -20, -20, -20, -20, -20, -20, -19, -19, -19, -18, -19, -18, -17, -17, -16, -15, -15, -14, -14, -14, -14, -14, -14, -14, -15, -14, -14, -14, -15, -14, -14, -14, -14, -14, -13, -12, -12, -12, -11, -11, -11, -11, -11, -11, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -2,  -1,   1,   2,   3,   4,   5,   5,   5,   5,   4,   6,  11,  14,  15,  16,  14,  13,  14,  15,  16,  17,  18,  18,  19,  18,  17,  18,  18,  17,  17,  17,  18,  18,  18,  18,  17,  17,  17,  17,  17,  18,  18,  19,  19,  19,  19,  20,  21,  21,  21,  21,  21,  21,  21,  17,   5,   5,  15,  19,  20,  20,  21,  20,  20,  20,  21,  21,  22,  22,  22,  23,  23,  24,  24,  25,  26,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  23,  22,  22,  22,  22,  22,  22,  23,  24,  25,  26,  27,  28,  29,  29,  30,  31,  31,  31,  31,  32,  31,  32,  33,  34,  35,  35,  36,  37,  37,  38,  39,  40,  41,  41,  41,  42,  41,  41,  41,  41,  41,  41,  40,  40,  39,  39,  39,  38,  38,  37,  37,  37,  36,  36,  35,  35,  35,  35,  36,  36,  35,  34,  34,  33,  33,  33,  33,  32,  31,  31,  30,  29,  27,  24,  22,  20,  19,  19,  18,  17,  16,  15,  14,  13,  12,  10,   9,   8,   7,   5,   4,   3,   1,   0,  -1,  -2,  -4,  -5,  -6,  -7,  -9, -10, -11, -12, -13, -15, -16, -17, -18, -19, -20, -21, -21, -22, -23, -23, -24, -25, -25, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -25, -25, -25, -24, -23, -23, -23, -22, -22, -22, -23, -23, -23, -23, -24, -24, -24, -24, -25, -25, -26, -27, -28, -28, -29, -31, -32, -32, -31, -32, -33, -34, -35, -36, -37, -37, -37, -37, -37, -37, -37, -37, -37,
+  /* -55.0 */ -34, -35, -35, -35, -35, -34, -34, -34, -33, -33, -32, -32, -31, -31, -31, -30, -30, -30, -29, -28, -27, -27, -26, -26, -25, -25, -24, -24, -24, -23, -23, -23, -23, -23, -23, -22, -21, -21, -20, -20, -20, -19, -19, -18, -18, -18, -18, -18, -18, -18, -18, -17, -16, -16, -15, -15, -14, -14, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -11, -11, -10, -10, -10, -10, -10, -10, -10,  -8,  -7,  -6,  -5,  -5,  -5,  -4,  -3,  -3,  -2,  -1,   1,   2,   3,   4,   5,   5,   3,   3,   7,  10,  11,  13,  14,  14,  14,  14,  12,  11,  12,  13,  15,  17,  17,  18,  18,  17,  15,  14,  14,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  17,  16,  17,  19,  21,  23,  21,  17,  11,  12,  10,   8,   7,   4,   3,   8,  15,  18,  20,  21,  20,  20,  21,  21,  21,  22,  22,  22,  23,  23,  24,  24,  25,  25,  26,  26,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  25,  25,  24,  24,  24,  25,  26,  27,  28,  29,  30,  31,  32,  32,  33,  33,  33,  34,  33,  33,  34,  34,  35,  35,  36,  37,  38,  39,  40,  41,  43,  44,  44,  45,  45,  44,  44,  44,  44,  44,  43,  42,  41,  41,  41,  41,  40,  39,  39,  38,  38,  37,  37,  36,  36,  35,  35,  35,  35,  34,  35,  35,  35,  35,  34,  34,  34,  33,  33,  32,  30,  28,  25,  23,  21,  20,  19,  19,  18,  17,  15,  14,  13,  12,  10,   9,   8,   7,   5,   4,   2,   2,   0,  -1,  -2,  -3,  -5,  -6,  -7,  -9, -10, -11, -12, -13, -15, -16, -17, -18, -19, -20, -20, -21, -22, -22, -23, -24, -24, -25, -25, -25, -25, -25, -25, -25, -25, -24, -25, -24, -24, -24, -24, -23, -23, -22, -22, -21, -21, -21, -21, -21, -22, -22, -22, -22, -22, -22, -22, -23, -23, -23, -22, -23, -26, -26, -27, -27, -28, -27, -26, -25, -26, -28, -30, -32, -33, -34, -34, -33, -33, -33, -34, -34, -34,
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+  /* -53.0 */ -28, -28, -29, -28, -29, -29, -28, -28, -28, -28, -27, -27, -26, -26, -26, -26, -25, -25, -25, -24, -24, -23, -23, -22, -22, -23, -23, -22, -21, -21, -21, -20, -20, -20, -20, -19, -19, -19, -18, -18, -18, -18, -18, -19, -20, -20, -20, -19, -18, -17, -17, -16, -16, -15, -14, -14, -13, -13, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -10, -10,  -9,  -9,  -8,  -8,  -8,  -8,  -8,  -7,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -1,   0,   1,   2,   3,   4,   5,   5,   5,   9,  11,  10,  10,   9,   9,  11,  12,  12,  12,  13,  13,  12,  12,  11,  11,  11,  10,  10,   8,   6,   5,   5,   6,   7,   6,   4,   6,   8,   6,   4,   4,   6,   6,   4,   3,   3,   5,  10,  11,  12,  13,  15,  15,  16,  16,  16,  16,  16,  16,  17,  19,  19,  20,  20,  21,  21,  22,  22,  23,  23,  24,  24,  25,  25,  26,  26,  27,  27,  27,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  26,  26,  26,  27,  27,  27,  28,  29,  30,  31,  32,  32,  33,  34,  35,  35,  36,  36,  37,  38,  38,  38,  37,  36,  37,  37,  37,  38,  39,  40,  41,  42,  44,  45,  46,  47,  48,  48,  48,  51,  50,  47,  46,  47,  45,  44,  45,  43,  43,  42,  41,  41,  41,  39,  38,  37,  37,  36,  35,  35,  35,  35,  35,  35,  34,  34,  35,  37,  40,  39,  37,  35,  34,  32,  30,  28,  26,  24,  23,  22,  20,  19,  17,  16,  15,  13,  12,  11,   9,   8,   7,   5,   4,   3,   1,  -0,  -1,  -3,  -4,  -5,  -6,  -8,  -9, -10, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -21, -21, -22, -23, -23, -24, -24, -24, -24, -24, -23, -23, -23, -23, -23, -22, -22, -22, -22, -21, -21, -20, -20, -19, -19, -19, -19, -19, -20, -20, -20, -20, -20, -20, -20, -20, -20, -20, -20, -20, -20, -17, -19, -19, -20, -21, -20, -19, -19, -19, -18, -18, -19, -20, -21, -23, -26, -27, -27, -28, -28, -28,
+  /* -52.0 */ -25, -25, -25, -26, -26, -26, -26, -25, -25, -24, -24, -24, -24, -24, -23, -23, -23, -23, -22, -22, -21, -21, -21, -22, -22, -21, -20, -20, -20, -20, -19, -19, -19, -19, -19, -18, -18, -18, -18, -18, -18, -19, -20, -19, -19, -19, -19, -18, -18, -17, -17, -16, -15, -15, -14, -13, -13, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -5,  -5,  -4,  -3,  -2,  -1,  -0,   1,   2,   3,   4,   5,   5,   5,   7,  13,  13,  13,  11,  10,   9,  10,  10,  10,  11,  12,  13,  14,  14,  14,  12,  12,  12,  12,  11,  10,   9,   8,   7,   6,   6,   6,   5,   4,   4,   5,   5,   5,   5,   5,   6,   7,   8,  10,  11,  10,  13,  15,  15,  15,  16,  15,  15,  15,  18,  17,  18,  19,  19,  20,  20,  21,  22,  22,  23,  24,  24,  25,  25,  26,  26,  27,  27,  27,  28,  28,  28,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,  29,  30,  31,  31,  33,  33,  34,  35,  35,  36,  36,  36,  36,  37,  37,  37,  38,  37,  36,  39,  39,  38,  39,  40,  41,  43,  44,  45,  46,  47,  49,  49,  47,  47,  47,  47,  47,  46,  45,  44,  44,  43,  43,  43,  42,  42,  41,  40,  39,  38,  37,  37,  36,  36,  36,  35,  35,  35,  34,  35,  37,  38,  38,  38,  37,  36,  33,  30,  29,  28,  27,  25,  23,  22,  21,  19,  18,  16,  15,  14,  12,  11,   9,   8,   6,   5,   4,   2,   1,  -1,  -2,  -3,  -5,  -6,  -7,  -8, -10, -11, -12, -13, -14, -16, -17, -18, -19, -19, -20, -21, -21, -22, -22, -23, -23, -24, -24, -24, -23, -23, -23, -22, -22, -22, -22, -21, -21, -21, -20, -20, -20, -19, -19, -19, -18, -18, -18, -19, -19, -19, -19, -19, -19, -19, -19, -19, -19, -19, -18, -18, -18, -15, -16, -17, -17, -18, -18, -15, -16, -16, -15, -16, -16, -17, -17, -19, -21, -23, -24, -24, -24, -25,
+  /* -51.0 */ -21, -21, -21, -21, -22, -23, -23, -22, -22, -21, -21, -21, -21, -21, -21, -21, -21, -21, -20, -20, -20, -20, -21, -20, -20, -20, -19, -19, -19, -18, -18, -18, -17, -17, -17, -18, -18, -17, -17, -18, -19, -18, -18, -18, -18, -18, -18, -18, -18, -17, -16, -15, -15, -14, -13, -13, -12, -12, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -2,  -1,  -0,   1,   2,   2,   3,   5,   5,   5,   5,   9,  14,  15,  15,  13,  11,  10,  10,  10,  10,  11,  12,  13,  13,  12,  12,  13,  13,  13,  12,  11,  10,  10,   9,   7,   6,   6,   6,   6,   5,   6,   6,   8,   9,   8,   7,   6,   6,   7,   7,   8,   8,  10,  10,  11,  12,  12,  13,  13,  15,  16,  17,  17,  18,  19,  20,  20,  21,  22,  23,  23,  24,  25,  25,  26,  26,  26,  27,  27,  28,  28,  27,  27,  27,  27,  27,  26,  26,  25,  25,  25,  25,  25,  25,  26,  26,  27,  27,  27,  29,  31,  31,  32,  32,  33,  34,  34,  34,  35,  35,  36,  36,  37,  37,  38,  36,  38,  40,  40,  39,  40,  41,  42,  43,  44,  46,  46,  46,  47,  46,  47,  46,  46,  46,  45,  45,  44,  44,  44,  44,  43,  43,  41,  41,  40,  39,  38,  38,  37,  37,  36,  36,  37,  37,  36,  35,  38,  39,  38,  38,  37,  36,  33,  31,  30,  29,  28,  27,  25,  24,  22,  20,  19,  18,  16,  15,  13,  12,  11,   9,   8,   6,   5,   3,   2,   0,  -1,  -3,  -4,  -5,  -7,  -8,  -9, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -21, -21, -22, -23, -23, -23, -24, -24, -24, -23, -23, -23, -22, -22, -21, -21, -21, -20, -20, -20, -19, -19, -19, -19, -18, -18, -18, -17, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -17, -16, -15, -14, -12, -12, -14, -14, -11, -12, -12, -12, -13, -13, -14, -14, -15, -16, -18, -20, -20, -21, -21,
+  /* -50.0 */ -17, -17, -17, -15, -17, -19, -20, -19, -19, -19, -19, -19, -19, -19, -19, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -17, -17, -16, -16, -16, -16, -16, -17, -17, -16, -17, -18, -18, -18, -17, -17, -17, -18, -18, -18, -18, -17, -17, -17, -16, -15, -14, -14, -13, -12, -12, -12, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -1,  -0,   0,   1,   2,   3,   4,   5,   6,   5,   6,  10,  13,  16,  16,  14,  13,  11,  10,  10,  11,  11,  11,  12,  13,  13,  13,  12,  12,  11,  11,   9,   8,   6,   4,   3,   3,   2,   2,   2,   2,   2,   3,   5,   6,   6,   6,   3,   3,   3,   4,   5,   6,   7,   8,   9,  10,  11,  11,  12,  14,  15,  16,  17,  18,  19,  20,  20,  21,  22,  23,  23,  25,  25,  26,  26,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  25,  25,  25,  25,  24,  25,  25,  24,  25,  24,  25,  25,  26,  26,  27,  28,  30,  31,  31,  32,  33,  33,  34,  34,  35,  35,  35,  36,  37,  37,  38,  38,  40,  40,  40,  41,  41,  42,  43,  43,  44,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  43,  43,  42,  41,  40,  39,  38,  37,  37,  36,  39,  40,  39,  37,  39,  41,  40,  37,  37,  36,  35,  33,  32,  31,  30,  29,  27,  26,  24,  23,  22,  20,  19,  17,  16,  14,  13,  11,  10,   9,   7,   6,   4,   2,   1,  -1,  -2,  -4,  -5,  -6,  -8,  -9, -10, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -21, -22, -22, -23, -23, -23, -24, -24, -24, -24, -23, -23, -23, -22, -22, -22, -21, -20, -20, -19, -19, -18, -18, -19, -18, -18, -17, -17, -17, -18, -18, -17, -17, -17, -17, -17, -17, -17, -17, -17, -17, -16, -15, -14, -13, -13, -11, -10, -12, -10,  -9, -10, -10, -10, -10, -10, -10, -11, -12, -13, -13, -14, -15, -17,
+  /* -49.0 */ -10, -12, -14, -15, -16, -16, -16, -16, -17, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -17, -16, -16, -15, -15, -15, -15, -15, -15, -16, -16, -15, -16, -16, -17, -17, -17, -17, -17, -17, -17, -17, -17, -17, -17, -17, -16, -16, -15, -15, -14, -13, -13, -12, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -9, -10, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -1,  -1,   0,   1,   2,   3,   3,   4,   5,   6,   6,   6,  10,  15,  16,  17,  16,  15,  13,  12,  12,  11,  11,  11,  11,  12,  11,  11,  11,  10,  10,   9,   7,   6,   3,   1,  -0,  -1,  -1,  -1,  -1,  -1,  -1,   0,   1,   1,   2,   2,   1,   1,   2,   3,   3,   4,   4,   6,   6,   7,   8,   9,  12,  13,  14,  15,  16,  17,  19,  20,  21,  21,  23,  23,  24,  25,  26,  27,  27,  27,  28,  27,  27,  26,  26,  25,  25,  25,  24,  24,  24,  24,  23,  24,  24,  25,  24,  24,  25,  23,  25,  26,  27,  28,  28,  29,  30,  30,  31,  32,  33,  33,  33,  34,  34,  34,  35,  35,  37,  38,  39,  40,  42,  42,  42,  42,  43,  43,  42,  43,  44,  44,  45,  44,  44,  44,  45,  45,  45,  45,  45,  45,  45,  44,  44,  43,  42,  41,  41,  40,  39,  38,  38,  38,  37,  37,  38,  39,  41,  41,  40,  38,  36,  34,  33,  32,  31,  30,  29,  28,  26,  25,  24,  22,  21,  20,  18,  17,  15,  14,  12,  11,   9,   8,   6,   5,   3,   2,   0,  -2,  -3,  -5,  -6,  -8,  -9, -10, -12, -13, -14, -15, -17, -18, -19, -19, -20, -21, -22, -22, -23, -23, -23, -24, -24, -24, -24, -24, -24, -24, -23, -23, -22, -22, -21, -21, -20, -20, -19, -18, -18, -17, -18, -18, -17, -17, -17, -17, -17, -17, -16, -16, -14, -15, -16, -16, -16, -16, -16, -15, -15, -14, -12, -12, -11, -10, -11,  -8,  -9,  -6,  -7,  -8,  -8,  -8,  -7,  -7,  -7,  -7,  -8,  -9,  -9,  -9, -10,
+  /* -48.0 */  -5,  -8, -11, -12, -13, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -14, -13, -14, -14, -14, -14, -14, -15, -15, -16, -16, -16, -16, -17, -17, -17, -17, -17, -17, -17, -16, -16, -15, -15, -15, -14, -14, -13, -12, -12, -12, -11, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -9, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -2,  -2,  -1,  -1,  -0,   1,   2,   2,   3,   4,   5,   6,   7,   7,   7,  11,  15,  16,  17,  18,  16,  15,  14,  12,  11,  11,  11,  11,  11,  11,  11,  10,   8,   7,   5,   4,   2,   1,  -0,  -1,  -2,  -2,  -2,  -3,  -3,  -3,  -2,  -1,  -1,  -1,  -1,  -0,  -0,   0,   1,   2,   2,   3,   4,   6,   7,   8,  10,  11,  13,  14,  15,  16,  18,  19,  20,  21,  22,  23,  24,  25,  26,  26,  27,  28,  28,  28,  27,  27,  26,  25,  25,  24,  24,  24,  24,  23,  23,  23,  22,  23,  23,  24,  24,  26,  25,  26,  26,  26,  27,  28,  29,  30,  30,  31,  32,  32,  32,  32,  33,  33,  33,  34,  34,  35,  37,  39,  40,  41,  44,  44,  44,  43,  43,  43,  43,  44,  44,  44,  43,  44,  44,  45,  45,  45,  45,  45,  45,  45,  44,  44,  43,  43,  42,  41,  40,  38,  38,  37,  36,  36,  36,  39,  39,  40,  40,  39,  37,  35,  33,  32,  31,  30,  29,  28,  27,  25,  24,  23,  22,  20,  19,  17,  16,  15,  13,  11,  10,   8,   7,   5,   4,   2,   1,  -1,  -3,  -4,  -6,  -7,  -9, -10, -12, -13, -14, -16, -17, -18, -19, -20, -21, -22, -22, -23, -24, -24, -24, -24, -25, -25, -25, -25, -25, -24, -24, -24, -23, -23, -22, -22, -21, -20, -20, -19, -18, -18, -17, -18, -17, -17, -17, -16, -16, -16, -15, -14, -14, -14, -15, -15, -15, -15, -15, -15, -14, -14, -13, -11, -10,  -9,  -8, -11, -10,  -6,  -3,  -4,  -5,  -5,  -6,  -5,  -5,  -5,  -5,  -6,  -5,  -5,  -4,  -5,
+  /* -47.0 */  -5,  -7,  -8,  -8,  -9,  -9, -10, -10, -10, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -14, -14, -14, -14, -15, -15, -15, -16, -16, -17, -17, -17, -16, -16, -16, -16, -16, -15, -15, -14, -14, -14, -13, -13, -12, -12, -11, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -9, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -1,  -0,   0,   1,   1,   2,   3,   4,   5,   6,   7,   8,   9,   9,  10,  13,  18,  20,  20,  17,  16,  14,  13,  12,  12,  12,  11,  12,  11,  11,   9,   7,   6,   4,   2,   0,  -1,  -1,  -2,  -3,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,   0,   2,   3,   4,   6,   7,   9,  11,  12,  14,  15,  16,  17,  19,  20,  21,  23,  23,  25,  26,  26,  27,  28,  27,  27,  27,  27,  27,  25,  25,  24,  24,  24,  23,  23,  23,  22,  22,  22,  22,  23,  24,  25,  26,  25,  26,  26,  26,  27,  27,  28,  29,  30,  31,  31,  32,  32,  33,  33,  33,  33,  33,  34,  34,  35,  37,  40,  41,  43,  45,  45,  45,  44,  46,  43,  45,  44,  43,  43,  44,  45,  46,  46,  45,  45,  46,  48,  48,  45,  44,  43,  42,  41,  40,  39,  38,  37,  36,  35,  34,  34,  36,  38,  37,  36,  36,  35,  33,  32,  31,  30,  29,  28,  26,  25,  24,  23,  22,  20,  19,  18,  16,  15,  13,  12,  10,   9,   7,   6,   4,   2,   1,  -1,  -2,  -4,  -6,  -7,  -9, -10, -12, -13, -15, -16, -17, -19, -20, -21, -21, -22, -23, -24, -25, -25, -25, -25, -25, -26, -26, -26, -25, -25, -25, -25, -24, -24, -23, -23, -22, -21, -20, -20, -19, -18, -17, -17, -18, -17, -17, -17, -16, -16, -15, -13, -12, -13, -14, -14, -14, -14, -13, -13, -13, -12, -12, -11, -11,  -9,  -7,  -7,  -7,  -8,  -4,  -2,   1,   1,  -1,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -4,  -5,
+  /* -46.0 */  -2,  -3,  -4,  -4,  -4,  -5,  -5,  -6,  -7,  -8,  -9,  -9, -10, -10, -10, -10, -11, -10, -10, -10, -10, -10, -10, -10,  -9, -10, -10, -11, -11, -12, -12, -13, -13, -14, -14, -14, -15, -15, -15, -16, -16, -16, -16, -16, -16, -16, -15, -15, -15, -15, -14, -14, -13, -13, -13, -12, -12, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -1,  -0,   0,   1,   2,   2,   4,   5,   5,   7,   8,   9,  10,  11,  11,  15,  18,  23,  23,  19,  16,  15,  14,  13,  12,  12,  12,  12,  11,  10,   9,   5,   4,   2,   0,  -0,  -1,  -2,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -3,  -4,  -4,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -1,   0,   2,   3,   5,   7,   9,  10,  12,  13,  15,  16,  17,  19,  20,  22,  23,  24,  25,  26,  27,  27,  27,  26,  27,  26,  25,  25,  25,  24,  23,  23,  23,  23,  23,  22,  22,  21,  21,  22,  22,  23,  24,  24,  25,  25,  26,  27,  27,  27,  28,  29,  30,  31,  32,  32,  33,  33,  33,  33,  33,  33,  33,  33,  34,  35,  38,  40,  42,  45,  45,  46,  46,  46,  45,  46,  45,  46,  46,  44,  46,  47,  47,  45,  47,  52,  50,  47,  44,  43,  43,  42,  41,  40,  38,  37,  35,  34,  34,  33,  33,  33,  34,  34,  33,  33,  32,  31,  30,  29,  29,  28,  27,  25,  24,  23,  22,  20,  19,  18,  17,  15,  14,  12,  11,   9,   7,   6,   4,   2,   1,  -1,  -3,  -4,  -6,  -7,  -9, -11, -12, -14, -15, -16, -18, -19, -21, -21, -22, -23, -24, -25, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -26, -25, -25, -24, -24, -23, -22, -22, -21, -20, -19, -18, -18, -17, -18, -17, -16, -16, -16, -15, -14, -14, -14, -14, -14, -13, -13, -12, -12, -11, -11, -10, -10,  -9,  -8,  -8,  -7,  -5,  -5,  -5,  -2,   4,   4,   5,   6,   3,   1,   1,   1,   1,   1,   0,  -0,  -1,  -2,
+  /* -45.0 */   3,   3,   3,   3,   1,  -0,  -1,  -3,  -4,  -5,  -6,  -7,  -8,  -8,  -8,  -9,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -8,  -8,  -8,  -9, -10, -10, -11, -12, -12, -12, -13, -13, -13, -14, -14, -15, -15, -15, -15, -15, -16, -16, -15, -15, -15, -15, -14, -14, -14, -13, -13, -13, -12, -12, -12, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -1,  -0,   0,   1,   2,   3,   4,   5,   6,   6,   7,   9,  10,  11,  11,  13,  16,  19,  19,  18,  17,  16,  15,  14,  12,  12,  12,  11,  11,  11,   9,   5,   3,   2,   0,   0,  -0,  -1,  -2,  -3,  -3,  -3,  -4,  -4,  -4,  -3,  -4,  -4,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -0,   1,   3,   5,   7,   9,  10,  12,  13,  15,  17,  18,  19,  21,  22,  23,  24,  25,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  24,  24,  23,  22,  21,  21,  21,  21,  22,  22,  22,  23,  24,  25,  26,  26,  26,  27,  27,  28,  28,  29,  30,  31,  32,  32,  33,  33,  33,  33,  33,  33,  33,  33,  33,  34,  35,  38,  39,  42,  44,  46,  46,  47,  46,  46,  46,  46,  45,  45,  46,  46,  46,  45,  44,  45,  45,  44,  43,  43,  42,  41,  40,  39,  37,  36,  34,  33,  32,  32,  32,  31,  31,  31,  31,  31,  30,  30,  29,  28,  27,  26,  25,  24,  23,  21,  20,  19,  18,  16,  15,  14,  12,  11,   9,   8,   6,   4,   3,   1,  -1,  -3,  -5,  -6,  -8,  -9, -11, -13, -14, -16, -17, -19, -20, -21, -22, -23, -24, -25, -26, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -27, -26, -26, -26, -25, -24, -24, -23, -22, -21, -20, -19, -19, -18, -17, -17, -17, -16, -16, -15, -15, -14, -13, -13, -12, -12, -12, -11, -11, -10,  -9,  -9,  -8,  -8,  -8,  -7,  -6,  -4,  -3,  -3,  -3,  -6,  -1,   4,   5,   8,   7,   6,   5,   5,   6,   5,   5,   5,   4,   3,
+  /* -44.0 */  10,  10,   9,  10,   9,   6,   3,   1,  -0,  -2,  -4,  -4,  -5,  -5,  -6,  -6,  -6,  -5,  -6,  -4,  -6,  -7,  -7,  -7,  -7,  -7,  -8,  -9,  -9, -10, -10, -11, -11, -12, -12, -12, -13, -14, -14, -14, -15, -15, -15, -15, -14, -15, -14, -14, -14, -14, -14, -14, -13, -13, -13, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -2,  -2,  -1,  -0,   1,   2,   3,   3,   4,   5,   6,   7,   8,   9,  10,  11,  10,  12,  14,  17,  18,  18,  19,  18,  16,  15,  14,  12,  11,  11,  11,  11,  10,   6,   6,   2,   1,   1,  -0,  -1,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -4,  -5,  -5,  -6,  -6,  -6,  -6,  -5,  -4,  -3,  -2,  -0,   1,   3,   5,   7,   8,  10,  12,  13,  15,  16,  18,  19,  21,  22,  23,  24,  25,  26,  25,  26,  26,  26,  25,  25,  25,  24,  24,  23,  23,  22,  22,  23,  22,  21,  21,  21,  21,  21,  22,  23,  24,  24,  25,  26,  27,  27,  28,  28,  28,  29,  30,  30,  31,  32,  32,  33,  33,  33,  34,  34,  33,  33,  33,  34,  34,  35,  38,  40,  42,  44,  45,  46,  46,  46,  46,  44,  44,  44,  45,  44,  44,  44,  44,  44,  43,  43,  43,  42,  41,  39,  39,  37,  36,  34,  33,  32,  32,  31,  31,  30,  30,  30,  30,  29,  29,  28,  27,  26,  25,  24,  23,  22,  21,  20,  19,  18,  16,  15,  13,  12,  11,   9,   8,   6,   4,   3,   1,  -1,  -3,  -5,  -6,  -8, -10, -12, -13, -14, -16, -18, -19, -21, -22, -23, -24, -25, -26, -27, -28, -28, -29, -29, -29, -29, -29, -29, -29, -28, -28, -28, -27, -27, -27, -26, -26, -25, -24, -23, -23, -22, -21, -20, -19, -18, -17, -17, -16, -16, -15, -15, -13, -10,  -8,  -9, -11,  -9,  -9,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -6,  -5,  -4,  -3,  -1,  -1,   0,   1,  -0,   2,   5,   8,   9,   9,  11,  10,  11,  12,  11,  11,  10,  10,
+  /* -43.0 */  14,  13,  12,  12,  10,   9,   7,   4,   3,   2,   0,  -1,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -6,  -6,  -7,  -7,  -8,  -9,  -9, -10, -11, -11, -12, -12, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -7,  -6,  -5,  -5,  -5,  -4,  -4,  -3,  -2,  -2,  -1,  -0,   1,   2,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  10,  12,  15,  17,  20,  20,  20,  20,  19,  16,  14,  13,  13,  12,  11,  12,  11,   9,   6,   4,   1,   1,   0,  -1,  -2,  -2,  -2,  -3,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -7,  -7,  -6,  -6,  -5,  -3,  -2,  -1,   1,   3,   5,   7,   8,  10,  11,  13,  14,  16,  18,  19,  20,  22,  23,  24,  25,  25,  25,  25,  25,  25,  24,  24,  24,  23,  23,  23,  22,  21,  22,  21,  19,  19,  20,  21,  21,  21,  22,  23,  24,  25,  25,  26,  28,  28,  28,  28,  28,  29,  29,  30,  30,  31,  32,  33,  33,  33,  34,  34,  33,  34,  34,  33,  33,  34,  35,  37,  40,  41,  43,  43,  44,  45,  45,  44,  43,  44,  44,  43,  43,  44,  44,  43,  43,  42,  42,  41,  39,  38,  37,  36,  35,  33,  32,  32,  31,  30,  30,  30,  29,  29,  28,  27,  27,  26,  25,  24,  24,  23,  22,  21,  20,  19,  18,  16,  15,  13,  12,  11,   9,   8,   6,   4,   3,   1,  -1,  -3,  -5,  -7,  -8, -11, -12, -14, -16, -17, -18, -20, -21, -23, -24, -25, -26, -27, -28, -29, -29, -30, -30, -30, -30, -30, -30, -30, -30, -30, -29, -29, -28, -28, -27, -27, -26, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -16, -15, -15, -14,  -9,  -5,  -4,  -5,  -8,  -9,  -8,  -8,  -7,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -0,   1,   2,   3,   4,   5,   7,   8,   9,  11,  13,  12,  10,  12,  14,  14,  15,  14,  14,
+  /* -42.0 */  15,  15,  14,  13,  11,  10,   9,   7,   5,   4,   3,   2,   1,   0,   0,  -1,   0,  -0,  -2,  -2,  -2,  -3,  -4,  -4,  -4,  -5,  -5,  -6,  -7,  -7,  -8,  -9, -10, -11, -11, -12, -12, -12, -12, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -5,  -5,  -4,  -4,  -3,  -2,  -2,  -1,  -0,   1,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  11,  12,  16,  17,  20,  21,  22,  23,  23,  19,  16,  14,  13,  13,  12,  12,  12,  12,  10,   6,   2,   1,   0,  -1,  -1,  -2,  -3,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -8,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   1,   3,   5,   6,   8,  10,  11,  13,  14,  16,  18,  19,  20,  22,  23,  24,  25,  25,  25,  25,  25,  24,  24,  24,  24,  23,  23,  22,  22,  21,  20,  20,  20,  24,  21,  22,  20,  20,  21,  22,  23,  24,  25,  26,  26,  27,  28,  28,  29,  29,  29,  29,  30,  30,  31,  31,  32,  34,  35,  35,  35,  34,  34,  33,  33,  33,  34,  35,  37,  38,  40,  41,  42,  43,  44,  44,  43,  44,  44,  43,  43,  43,  43,  42,  42,  40,  40,  39,  37,  36,  35,  35,  33,  32,  31,  30,  30,  29,  28,  28,  28,  28,  27,  26,  25,  24,  23,  22,  22,  21,  20,  19,  18,  17,  16,  15,  13,  12,  10,   9,   7,   6,   4,   2,   1,  -1,  -3,  -5,  -7,  -9, -11, -13, -14, -16, -18, -19, -21, -22, -24, -25, -26, -27, -28, -29, -30, -31, -31, -31, -32, -32, -31, -31, -31, -31, -31, -31, -30, -30, -29, -29, -28, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -15, -14, -12,  -6,  -2,  -1,  -2,  -5,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -2,  -1,  -1,  -0,   1,   2,   3,   4,   6,   7,   9,  11,  12,  13,  14,  15,  15,  11,   9,  10,  11,  14,  16,  15,
+  /* -41.0 */  19,  18,  17,  15,  13,  12,  10,   7,   6,   5,   4,   4,   3,   2,   2,   4,   2,   0,   0,  -1,  -1,  -1,  -1,  -1,  -2,  -3,  -4,  -4,  -5,  -6,  -7,  -8, -10, -10, -11, -11, -11, -11, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -13, -13, -13, -12, -12, -12, -11, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -8,  -8,  -7,  -7,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -1,  -1,  -0,  -0,   0,   1,   2,   3,   4,   5,   6,   8,   9,  10,  11,  11,  11,  16,  19,  21,  22,  23,  24,  23,  20,  16,  14,  14,  13,  13,  13,  13,  12,  11,   9,   5,   2,   1,  -0,  -1,  -2,  -3,  -3,  -4,  -5,  -5,  -6,  -7,  -8,  -8,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   0,   2,   4,   6,   8,  10,  11,  13,  14,  16,  18,  19,  20,  21,  22,  23,  24,  25,  24,  24,  24,  24,  24,  23,  23,  23,  22,  22,  20,  20,  20,  19,  18,  17,  18,  18,  19,  19,  20,  21,  22,  23,  25,  26,  27,  27,  27,  29,  29,  29,  29,  29,  29,  30,  30,  30,  31,  33,  35,  36,  35,  35,  33,  33,  33,  33,  33,  33,  35,  36,  37,  38,  39,  40,  42,  43,  43,  43,  44,  43,  43,  42,  42,  41,  41,  40,  39,  37,  36,  35,  34,  32,  31,  30,  29,  29,  28,  28,  27,  27,  27,  26,  26,  25,  24,  22,  21,  20,  19,  19,  18,  18,  16,  15,  14,  13,  11,  10,   8,   7,   5,   4,   2,   0,  -2,  -4,  -5,  -7,  -9, -11, -13, -15, -17, -19, -20, -22, -23, -24, -26, -27, -28, -29, -30, -31, -32, -32, -33, -33, -33, -33, -33, -33, -33, -32, -32, -32, -32, -31, -30, -30, -29, -28, -28, -27, -26, -25, -23, -22, -21, -20, -18, -17, -16, -16, -15, -14, -12,  -6,  -2,  -1,  -1,  -0,  -3,  -5,  -4,  -3,  -2,  -1,  -1,   0,   1,   1,   2,   3,   4,   5,   6,   7,   8,   9,  13,  14,  15,  16,  16,  18,  16,  13,  13,  17,  16,  15,  17,  19,
+  /* -40.0 */  21,  20,  19,  17,  15,  13,  11,   9,   8,   7,   6,   6,   5,   5,   6,   3,   3,   3,   2,   1,   1,   1,   0,  -0,  -1,  -2,  -2,  -3,  -4,  -6,  -7,  -8,  -9, -10, -10, -10, -10, -11, -11, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -12, -12, -12, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -2,  -1,  -1,  -1,  -0,   0,   0,   1,   2,   3,   4,   6,   7,   8,   9,  11,  11,  10,  13,  17,  22,  23,  23,  23,  21,  19,  16,  15,  14,  13,  13,  14,  14,  13,  13,  12,  10,   5,   2,   0,  -0,  -2,  -3,  -4,  -4,  -5,  -6,  -6,  -7,  -7,  -8,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   0,   2,   4,   6,   8,  10,  11,  13,  14,  16,  17,  19,  20,  21,  22,  23,  23,  24,  24,  24,  23,  23,  23,  23,  22,  22,  22,  22,  20,  19,  18,  18,  18,  17,  18,  18,  19,  19,  20,  20,  21,  22,  24,  25,  26,  26,  27,  26,  28,  28,  29,  29,  29,  29,  29,  30,  30,  32,  34,  35,  35,  34,  33,  33,  33,  34,  34,  33,  33,  34,  34,  35,  37,  38,  40,  41,  42,  43,  43,  43,  42,  42,  41,  40,  40,  39,  38,  36,  35,  33,  32,  31,  30,  29,  28,  27,  27,  27,  26,  26,  26,  25,  24,  23,  22,  21,  20,  18,  18,  17,  17,  16,  15,  13,  12,  10,   9,   7,   6,   4,   2,   1,  -1,  -2,  -4,  -6,  -8, -10, -12, -14, -16, -18, -19, -21, -23, -24, -25, -27, -28, -29, -30, -31, -32, -33, -33, -34, -34, -34, -34, -34, -34, -34, -34, -34, -33, -33, -32, -32, -31, -30, -30, -29, -28, -27, -26, -25, -24, -23, -21, -20, -18, -17, -15, -15, -14, -12,  -7,  -2,  -2,  -1,  -0,   1,   0,  -2,  -2,  -1,   1,   1,   2,   3,   3,   4,   4,   5,   6,   7,   8,  10,  12,  12,  15,  18,  19,  19,  19,  20,  19,  15,  13,  16,  18,  19,  19,  21,
+  /* -39.0 */  22,  22,  21,  19,  17,  16,  13,  12,  11,  10,   9,   8,  10,   8,   6,   6,   5,   4,   3,   3,   3,   2,   1,   1,   0,  -1,  -2,  -3,  -4,  -6,  -7,  -8,  -8,  -9,  -9,  -9, -10, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -12, -12, -12, -11, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   1,   1,   2,   3,   4,   6,   7,   8,   9,  10,  11,   9,  13,  17,  20,  24,  23,  20,  18,  17,  16,  14,  14,  14,  14,  13,  12,  13,  13,  13,  11,   8,   3,   1,  -0,  -2,  -3,  -4,  -4,  -5,  -5,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -1,   1,   2,   4,   6,   8,  10,  11,  13,  14,  16,  17,  18,  19,  20,  21,  22,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  20,  20,  19,  19,  18,  17,  17,  17,  17,  18,  19,  19,  20,  20,  21,  22,  23,  24,  25,  26,  26,  28,  27,  28,  27,  28,  29,  29,  29,  30,  30,  30,  32,  34,  33,  32,  33,  32,  32,  32,  32,  32,  32,  32,  32,  33,  34,  36,  37,  39,  40,  40,  41,  41,  43,  42,  41,  40,  40,  38,  37,  35,  33,  31,  30,  29,  28,  27,  26,  26,  26,  26,  25,  25,  25,  24,  23,  22,  20,  19,  18,  17,  16,  16,  15,  15,  13,  11,   9,   8,   6,   5,   3,   2,   0,  -2,  -3,  -5,  -7,  -9, -11, -12, -14, -16, -18, -20, -22, -23, -25, -27, -28, -29, -30, -31, -32, -33, -33, -34, -34, -35, -35, -35, -35, -35, -35, -35, -35, -35, -34, -34, -33, -33, -32, -31, -30, -29, -29, -28, -27, -26, -24, -23, -22, -20, -18, -16, -15, -13, -10,  -6,  -3,  -1,   1,   2,   2,   3,   1,  -1,   0,   2,   3,   4,   5,   5,   6,   7,   7,   7,   8,   9,  11,  13,  16,  16,  18,  21,  22,  22,  22,  22,  24,  23,  25,  25,  20,  21,  20,  22,
+  /* -38.0 */  21,  23,  23,  22,  20,  18,  16,  14,  13,  13,  11,  12,  12,   9,   8,   7,   6,   5,   4,   4,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -7,  -8,  -8,  -9, -10, -10, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -12, -12, -12, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -2,  -2,  -1,  -1,  -1,   0,   1,   2,   3,   4,   5,   6,   8,   9,  10,  11,   9,  14,  20,  21,  24,  24,  21,  19,  18,  16,  16,  15,  16,  15,  14,  15,  15,  15,  13,  11,   9,   4,   2,   1,  -1,  -2,  -3,  -4,  -5,  -5,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   1,   2,   4,   6,   8,   9,  11,  13,  14,  15,  16,  18,  19,  20,  20,  21,  22,  22,  22,  22,  22,  21,  21,  21,  21,  20,  20,  19,  19,  17,  16,  16,  16,  17,  17,  18,  19,  19,  20,  21,  22,  23,  23,  23,  24,  25,  26,  26,  27,  27,  27,  27,  27,  28,  29,  29,  29,  29,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,  31,  30,  30,  31,  32,  34,  35,  36,  37,  38,  39,  39,  41,  41,  41,  41,  39,  37,  36,  34,  32,  31,  29,  27,  26,  26,  25,  25,  25,  25,  24,  24,  23,  22,  21,  20,  19,  17,  16,  15,  14,  14,  13,  14,  12,   9,   7,   6,   4,   3,   1,  -0,  -2,  -4,  -6,  -8, -10, -11, -13, -15, -17, -19, -21, -22, -24, -26, -27, -29, -30, -31, -32, -33, -34, -34, -34, -35, -35, -36, -36, -36, -37, -36, -37, -36, -36, -35, -35, -35, -34, -33, -33, -32, -31, -30, -29, -28, -27, -26, -24, -22, -21, -19, -17, -15, -12,  -8,  -4,  -1,   2,   3,   4,   7,   7,   6,   7,   6,   2,   4,   5,   6,   7,   8,   9,   9,   9,  10,  11,  12,  13,  17,  18,  19,  21,  24,  25,  25,  24,  25,  26,  28,  30,  29,  26,  22,  21,  21,
+  /* -37.0 */  20,  21,  23,  23,  22,  20,  18,  17,  15,  15,  14,  13,  12,  11,  10,   8,   7,   6,   6,   5,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -4,  -5,  -6,  -6,  -7,  -7,  -8,  -8,  -9, -10, -10, -10, -10, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -13, -12, -12, -12, -12, -12, -11, -11, -10, -10, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -1,   0,   1,   2,   3,   5,   6,   7,   8,   9,  11,  11,   9,  12,  21,  21,  25,  25,  23,  20,  18,  17,  17,  17,  17,  16,  17,  17,  16,  15,  14,  12,  10,   8,   4,   2,  -0,  -2,  -3,  -4,  -5,  -5,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -2,  -1,   1,   2,   4,   6,   7,   9,  11,  12,  13,  15,  16,  17,  18,  19,  20,  21,  21,  21,  21,  21,  21,  20,  20,  19,  19,  19,  19,  18,  18,  18,  17,  16,  16,  17,  17,  18,  18,  19,  20,  21,  22,  23,  23,  24,  24,  25,  25,  26,  26,  26,  27,  27,  27,  29,  29,  29,  29,  28,  30,  30,  30,  29,  30,  29,  30,  30,  31,  31,  30,  29,  28,  29,  30,  31,  31,  32,  34,  36,  37,  37,  37,  38,  39,  39,  38,  36,  36,  33,  31,  30,  28,  26,  25,  25,  24,  24,  24,  24,  23,  23,  22,  21,  19,  18,  17,  16,  15,  14,  13,  12,  12,  11,  10,   8,   5,   4,   2,   0,  -1,  -3,  -5,  -7,  -8, -10, -12, -14, -16, -17, -19, -21, -23, -25, -26, -28, -29, -31, -32, -33, -34, -35, -36, -37, -37, -38, -39, -39, -39, -39, -39, -38, -39, -39, -38, -38, -37, -36, -35, -35, -34, -33, -32, -30, -29, -28, -27, -26, -25, -23, -21, -18, -13,  -9,  -6,  -4,  -1,   2,   4,   5,   7,   9,  12,  14,  14,  12,   6,   7,   8,   9,  10,  12,  11,  12,  12,  13,  14,  16,  17,  19,  21,  22,  24,  25,  26,  27,  27,  28,  29,  32,  33,  33,  30,  23,  21,  20,
+  /* -36.0 */  23,  17,  22,  24,  24,  23,  21,  19,  18,  16,  16,  14,  14,  12,  11,   9,   9,   7,   6,   5,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -7,  -8,  -9,  -9,  -9, -10, -10, -10, -10, -11, -11, -12, -11, -11, -11, -11, -11, -12, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -1,  -0,   1,   2,   3,   5,   6,   7,   8,  10,  11,  12,  11,   9,  19,  21,  25,  27,  26,  23,  20,  19,  18,  18,  18,  18,  17,  17,  17,  17,  15,  13,  11,   9,   7,   4,   1,  -1,  -3,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   1,   2,   4,   6,   7,   9,  10,  12,  13,  14,  16,  17,  18,  18,  19,  20,  20,  20,  20,  19,  19,  18,  18,  18,  18,  18,  17,  17,  17,  18,  17,  17,  17,  17,  18,  18,  19,  19,  20,  21,  22,  23,  24,  24,  25,  25,  26,  26,  26,  27,  27,  28,  29,  31,  31,  30,  28,  28,  28,  28,  28,  28,  28,  28,  28,  30,  30,  30,  29,  27,  27,  27,  27,  28,  28,  30,  32,  34,  35,  35,  34,  34,  34,  35,  34,  34,  33,  33,  31,  29,  27,  25,  24,  24,  24,  24,  24,  23,  23,  22,  20,  19,  18,  17,  15,  14,  13,  12,  11,  11,  10,   9,   8,   6,   4,   1,  -0,  -2,  -3,  -5,  -7,  -9, -11, -12, -14, -16, -18, -20, -22, -24, -25, -27, -28, -30, -31, -33, -33, -36, -37, -38, -39, -39, -40, -40, -40, -41, -41, -40, -39, -38, -38, -38, -38, -39, -38, -37, -36, -36, -35, -34, -33, -31, -30, -29, -28, -26, -24, -21, -18, -11,  -7,  -5,  -3,  -1,   1,   3,   5,   6,   8,  10,  12,  16,  19,  17,  10,   9,  10,  12,  13,  14,  14,  15,  15,  16,  18,  19,  20,  22,  24,  25,  25,  27,  28,  29,  29,  31,  33,  36,  37,  36,  34,  33,  28,  23,
+  /* -35.0 */  28,  18,  20,  25,  26,  25,  23,  21,  20,  19,  17,  16,  14,  13,  12,  10,   9,   8,   6,   5,   5,   3,   2,   1,   0,  -0,  -1,  -2,  -3,  -3,  -4,  -5,  -6,  -6,  -7,  -8,  -8,  -9,  -9,  -9, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -0,   1,   2,   4,   5,   6,   7,   8,  10,  11,  13,  13,  10,  12,  21,  25,  30,  26,  22,  21,  20,  20,  19,  18,  18,  17,  17,  17,  16,  15,  14,  13,  10,   9,   8,   3,  -0,  -3,  -5,  -6,  -6,  -6,  -7,  -7,  -8,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   0,   2,   5,   7,   6,   8,   9,  11,  12,  14,  15,  16,  16,  17,  18,  18,  18,  19,  19,  18,  18,  18,  17,  17,  17,  17,  17,  17,  18,  17,  17,  17,  18,  18,  18,  19,  20,  20,  20,  21,  21,  22,  23,  24,  25,  25,  26,  26,  26,  26,  28,  30,  31,  32,  31,  30,  29,  29,  26,  27,  28,  27,  26,  26,  27,  28,  30,  30,  29,  27,  25,  25,  25,  26,  26,  27,  30,  33,  33,  33,  32,  31,  31,  31,  31,  30,  31,  30,  30,  29,  26,  25,  23,  22,  22,  22,  22,  22,  21,  20,  19,  17,  16,  15,  14,  13,  12,  11,  10,   9,   8,   7,   6,   4,   2,  -1,  -2,  -4,  -6,  -7,  -9, -11, -13, -15, -17, -18, -20, -22, -24, -26, -28, -29, -30, -32, -33, -34, -37, -38, -40, -40, -40, -40, -40, -39, -38, -39, -40, -38, -35, -33, -32, -32, -34, -35, -35, -34, -33, -33, -33, -33, -33, -32, -31, -28, -25, -22, -19, -15, -11,  -7,  -4,  -2,  -0,   1,   2,   4,   6,   8,  10,  12,  14,  17,  20,  20,  17,  11,  13,  14,  15,  16,  17,  17,  17,  19,  21,  22,  24,  25,  26,  26,  27,  28,  31,  32,  32,  34,  38,  39,  38,  38,  38,  38,  37,  28,
+  /* -34.0 */  37,  24,  18,  25,  27,  27,  26,  23,  21,  20,  17,  16,  16,  14,  12,  11,   9,   8,   7,   6,   5,   4,   3,   2,   1,   0,  -0,  -2,  -2,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -8,  -9,  -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -11, -12, -11, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,   0,   1,   2,   3,   5,   7,   7,  10,  10,  11,  12,  14,  13,   8,  19,  25,  32,  24,  22,  22,  23,  22,  21,  19,  18,  17,  17,  17,  17,  16,  16,  15,  13,  10,   8,   6,   2,  -1,  -3,  -5,  -6,  -6,  -7,  -7,  -8,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   1,   3,   3,   5,   6,   7,   9,   9,  11,  12,  13,  14,  15,  16,  16,  17,  18,  18,  18,  18,  17,  17,  16,  16,  16,  16,  16,  16,  17,  18,  17,  18,  19,  18,  20,  20,  20,  21,  21,  21,  22,  23,  23,  24,  25,  25,  26,  26,  26,  27,  29,  31,  32,  33,  33,  32,  31,  30,  28,  27,  29,  28,  26,  26,  26,  27,  29,  29,  29,  26,  23,  23,  23,  23,  24,  25,  28,  31,  33,  31,  30,  28,  28,  28,  27,  27,  27,  28,  29,  27,  25,  24,  22,  21,  20,  20,  20,  20,  19,  18,  17,  16,  15,  14,  12,  11,  10,   9,   8,   7,   6,   5,   3,   1,  -1,  -2,  -4,  -6,  -8,  -9, -11, -13, -15, -17, -19, -21, -22, -24, -26, -28, -30, -31, -32, -33, -35, -37, -38, -40, -41, -41, -40, -40, -40, -37, -36, -37, -38, -36, -33, -31, -28, -28, -30, -30, -30, -30, -29, -27, -26, -27, -28, -28, -27, -24, -22, -18, -14, -11,  -8,  -4,  -2,   1,   3,   4,   4,   6,   8,  10,  12,  14,  17,  19,  22,  24,  22,  18,  15,  17,  18,  19,  19,  20,  20,  23,  24,  26,  27,  27,  27,  28,  30,  32,  32,  33,  36,  39,  39,  39,  39,  40,  40,  41,  41,  37,
+  /* -33.0 */  43,  35,  18,  24,  28,  28,  27,  24,  23,  20,  19,  18,  16,  14,  12,  11,  10,   9,   8,   7,   6,   5,   3,   2,   1,   1,  -0,  -1,  -2,  -2,  -3,  -4,  -4,  -5,  -6,  -7,  -8,  -9,  -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -0,   0,   1,   3,   4,   5,   6,   6,   8,   9,  11,  12,  14,  15,  10,  15,  26,  32,  23,  21,  23,  25,  25,  23,  20,  19,  18,  17,  18,  17,  17,  16,  15,  13,  11,   8,   7,   4,  -0,  -3,  -4,  -5,  -6,  -7,  -8,  -8,  -8,  -8,  -7,  -6,  -5,  -3,  -2,  -1,   1,   2,   3,   4,   6,   7,   7,   8,   9,  11,  12,  13,  14,  14,  15,  16,  16,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  17,  17,  19,  19,  19,  20,  20,  23,  21,  22,  22,  22,  23,  23,  24,  24,  25,  26,  27,  27,  27,  28,  31,  31,  33,  34,  34,  32,  31,  29,  28,  29,  29,  30,  29,  25,  25,  25,  26,  27,  29,  26,  22,  20,  21,  21,  22,  23,  26,  31,  30,  28,  26,  25,  25,  24,  24,  23,  23,  24,  25,  25,  24,  22,  21,  19,  19,  18,  18,  17,  17,  16,  15,  14,  13,  12,  11,   9,   8,   7,   6,   5,   4,   3,   1,  -1,  -3,  -5,  -7,  -8, -10, -11, -12, -15, -17, -19, -21, -23, -25, -27, -28, -30, -32, -33, -34, -35, -37, -39, -39, -40, -41, -40, -40, -41, -40, -38, -38, -39, -38, -36, -33, -30, -27, -27, -28, -28, -28, -28, -27, -26, -23, -22, -21, -21, -21, -19, -17, -15, -14, -11,  -7,  -2,   1,   3,   7,   7,   8,   8,   9,  12,  14,  17,  19,  22,  25,  27,  26,  25,  20,  19,  21,  24,  22,  24,  24,  27,  28,  29,  30,  29,  30,  30,  34,  34,  35,  36,  37,  38,  40,  40,  40,  41,  42,  42,  43,  43,
+  /* -32.0 */  44,  41,  23,  20,  28,  30,  29,  25,  24,  21,  20,  19,  17,  15,  13,  12,  11,  10,   8,   7,   6,   4,   3,   2,   1,   1,   0,  -0,  -2,  -2,  -3,  -3,  -4,  -5,  -6,  -7,  -8,  -9,  -9, -10, -10, -10, -10, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -2,  -2,  -1,  -1,  -1,  -0,   0,   1,   2,   3,   4,   5,   6,   7,   9,  10,  12,  13,  15,  16,  12,  15,  29,  32,  26,  21,  24,  25,  27,  25,  22,  20,  18,  17,  17,  17,  16,  15,  14,  13,  11,   8,   6,   5,  -1,  -3,  -4,  -5,  -6,  -8,  -8,  -7,  -8,  -7,  -7,  -6,  -5,  -2,  -1,   0,   1,   2,   3,   4,   6,   6,   7,   8,   9,  10,  11,  12,  13,  13,  14,  15,  15,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  16,  17,  18,  19,  19,  19,  20,  20,  23,  21,  23,  23,  23,  23,  24,  24,  25,  25,  27,  27,  28,  29,  31,  30,  32,  33,  35,  37,  36,  35,  34,  34,  33,  33,  31,  31,  27,  24,  23,  23,  24,  25,  24,  20,  18,  18,  19,  20,  21,  24,  26,  26,  25,  23,  23,  21,  21,  20,  20,  20,  20,  21,  22,  21,  21,  21,  19,  16,  16,  15,  15,  14,  14,  13,  12,  11,  10,   9,   8,   6,   5,   4,   3,   2,   0,  -2,  -4,  -6,  -7,  -9, -11, -13, -14, -15, -16, -19, -21, -23, -25, -26, -28, -30, -29, -31, -32, -34, -35, -36, -37, -40, -40, -41, -40, -41, -41, -40, -39, -39, -39, -38, -36, -35, -31, -27, -27, -26, -25, -26, -26, -24, -24, -22, -20, -19, -20, -19, -18, -15, -12, -12,  -9,  -4,   0,   2,   4,   9,  10,  12,  13,  12,  13,  16,  20,  22,  24,  26,  28,  30,  29,  27,  22,  23,  24,  25,  26,  28,  29,  30,  31,  32,  31,  32,  32,  36,  37,  37,  39,  40,  41,  42,  42,  42,  42,  43,  43,  44,  44,
+  /* -31.0 */  46,  45,  33,  19,  28,  31,  29,  28,  26,  23,  21,  19,  17,  16,  14,  12,  11,  10,   8,   7,   6,   4,   3,   2,   1,   1,  -0,  -1,  -1,  -2,  -2,  -3,  -3,  -5,  -6,  -7,  -8,  -8,  -9,  -9,  -9,  -9, -10, -11, -11, -12, -12, -13, -13, -13, -13, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -3,  -2,  -2,  -1,  -0,  -0,   0,   1,   1,   1,   2,   3,   4,   5,   6,   7,   8,  10,  11,  13,  14,  16,  13,  17,  31,  33,  27,  24,  25,  25,  27,  26,  22,  20,  18,  17,  17,  16,  15,  15,  14,  13,  11,   8,   6,   4,   1,  -3,  -5,  -6,  -8,  -8,  -8,  -8,  -9,  -8,  -7,  -5,  -4,  -1,   1,   3,   3,   2,   3,   4,   5,   5,   6,   6,   7,   8,   9,  10,  11,  12,  12,  13,  14,  14,  15,  16,  16,  15,  15,  15,  15,  15,  15,  16,  17,  18,  18,  19,  20,  21,  21,  22,  24,  23,  23,  23,  24,  24,  25,  26,  26,  27,  28,  29,  29,  31,  31,  32,  33,  35,  35,  35,  35,  35,  34,  35,  36,  36,  32,  30,  25,  22,  22,  22,  22,  22,  17,  16,  16,  16,  16,  18,  20,  22,  22,  22,  21,  19,  18,  17,  17,  17,  17,  18,  18,  18,  18,  19,  18,  18,  15,  14,  13,  13,  13,  12,  11,  10,   9,   8,   7,   6,   4,   3,   2,   1,  -0,  -2,  -4,  -6,  -8, -10, -12, -13, -15, -17, -17, -18, -21, -23, -25, -27, -28, -28, -30, -32, -34, -34, -36, -37, -37, -39, -39, -39, -40, -40, -40, -40, -40, -40, -39, -38, -37, -36, -31, -30, -26, -25, -25, -24, -24, -23, -24, -21, -20, -20, -19, -20, -18, -16, -13,  -9,  -7,  -6,  -2,   1,   4,   7,  11,  10,  14,  16,  16,  17,  18,  22,  24,  25,  27,  30,  32,  33,  31,  25,  26,  29,  28,  29,  31,  32,  33,  33,  34,  34,  34,  35,  37,  39,  40,  41,  42,  43,  45,  43,  43,  43,  44,  44,  45,  46,
+  /* -30.0 */  48,  46,  40,  26,  25,  31,  31,  30,  27,  25,  23,  21,  19,  16,  15,  14,  12,  10,   9,   7,   6,   4,   3,   2,   1,   1,  -0,  -1,  -2,  -2,  -1,  -2,  -4,  -5,  -6,  -6,  -7,  -7,  -8,  -8,  -9,  -9, -10, -11, -11, -12, -13, -13, -13, -13, -13, -13, -12, -12, -12, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -2,  -2,  -1,   0,   0,   1,   1,   1,   2,   2,   3,   4,   5,   5,   7,   8,   9,  10,  12,  13,  15,  16,  14,  15,  33,  37,  32,  27,  25,  24,  24,  26,  23,  21,  19,  18,  17,  15,  14,  13,  11,  10,   9,   6,   4,   3,   3,   1,  -4,  -6,  -7,  -8,  -8,  -9, -10,  -9,  -7,  -6,  -4,  -1,  -0,   0,   1,   1,   3,   3,   4,   4,   5,   5,   6,   7,   8,   9,   9,  10,  11,  12,  13,  13,  14,  15,  15,  15,  15,  15,  15,  15,  16,  16,  17,  17,  18,  19,  20,  21,  23,  23,  25,  22,  23,  24,  24,  25,  26,  26,  26,  27,  28,  29,  32,  31,  32,  34,  35,  34,  33,  33,  33,  33,  32,  34,  33,  36,  35,  30,  28,  24,  21,  21,  20,  20,  16,  14,  13,  14,  14,  15,  15,  18,  19,  19,  18,  16,  15,  14,  14,  14,  15,  15,  15,  14,  14,  14,  15,  15,  14,  13,  12,  11,  10,  10,   9,   8,   7,   6,   5,   4,   3,   1,   0,  -1,  -3,  -5,  -7,  -9, -11, -13, -15, -16, -18, -19, -20, -21, -23, -25, -27, -30, -31, -31, -32, -33, -35, -36, -37, -38, -38, -38, -39, -39, -39, -40, -39, -40, -40, -40, -39, -37, -36, -33, -29, -27, -24, -24, -22, -23, -22, -22, -21, -20, -18, -18, -17, -18, -17, -14, -10,  -6,  -4,  -1,   0,   3,   6,   8,  12,  13,  15,  18,  19,  21,  22,  24,  26,  28,  28,  32,  34,  36,  35,  30,  29,  29,  30,  32,  33,  33,  35,  36,  36,  36,  36,  37,  39,  42,  43,  44,  45,  45,  46,  45,  45,  45,  45,  45,  46,  48,
+  /* -29.0 */  48,  47,  46,  35,  23,  30,  31,  31,  28,  26,  23,  21,  19,  17,  15,  14,  12,  10,   9,   7,   6,   4,   3,   2,   1,   0,  -0,  -1,  -2,  -2,  -2,  -3,  -4,  -5,  -5,  -5,  -6,  -7,  -7,  -8,  -8, -10, -11, -12, -12, -13, -13, -13, -14, -13, -13, -13, -13, -12, -12, -11, -11, -11, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -1,  -0,   0,   1,   1,   2,   2,   2,   3,   3,   4,   5,   6,   7,   8,   9,  11,  12,  14,  15,  17,  16,  14,  31,  38,  35,  31,  28,  26,  26,  24,  24,  22,  20,  19,  17,  16,  14,  11,  10,   9,   8,   7,   6,   4,   2,   1,  -3,  -6,  -8,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -6,  -4,  -3,  -1,   0,   1,   2,   2,   2,   2,   3,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  12,  13,  14,  15,  14,  15,  15,  15,  15,  15,  16,  17,  18,  18,  19,  20,  21,  22,  24,  24,  23,  24,  24,  24,  25,  25,  26,  26,  27,  28,  30,  32,  31,  32,  32,  32,  31,  31,  32,  32,  31,  31,  31,  31,  34,  35,  29,  27,  25,  19,  18,  18,  18,  13,  12,  11,  11,  12,  12,  11,  13,  15,  15,  15,  15,  13,  11,  10,  10,  11,  11,  11,  10,  10,  10,  11,  11,  10,  11,  11,  10,   9,   8,   7,   6,   5,   4,   3,   2,   0,  -1,  -2,  -4,  -6,  -8, -10, -12, -14, -15, -17, -19, -20, -22, -23, -25, -27, -29, -31, -33, -33, -33, -34, -36, -37, -36, -37, -38, -39, -38, -38, -38, -39, -39, -39, -39, -40, -39, -38, -36, -34, -28, -26, -23, -23, -21, -21, -20, -20, -18, -17, -17, -16, -16, -16, -16, -15, -12,  -9,  -4,  -1,   2,   4,   5,   8,  10,  12,  14,  16,  19,  20,  23,  25,  26,  28,  30,  31,  33,  35,  37,  37,  34,  31,  33,  32,  34,  35,  35,  37,  38,  39,  38,  38,  40,  41,  46,  45,  46,  47,  47,  47,  47,  46,  47,  47,  46,  46,  48,
+  /* -28.0 */  48,  49,  48,  41,  25,  30,  35,  32,  30,  27,  24,  22,  19,  17,  15,  13,  12,  10,   9,   7,   6,   5,   4,   2,   1,   0,  -0,  -1,  -1,  -1,  -2,  -3,  -4,  -4,  -5,  -5,  -4,  -5,  -6,  -8,  -9, -11, -11, -12, -13, -13, -13, -14, -14, -13, -13, -13, -12, -12, -11, -11, -11, -10, -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -1,  -1,  -0,   0,   1,   1,   2,   2,   3,   3,   3,   4,   4,   5,   6,   7,   8,   9,  11,  12,  14,  15,  17,  17,  13,  26,  35,  38,  35,  29,  29,  27,  24,  24,  23,  21,  20,  18,  16,  14,  11,   9,   8,   8,   7,   6,   6,   2,   1,  -2,  -6,  -8, -10, -10, -11, -11, -11, -10,  -9,  -7,  -6,  -4,  -3,  -2,  -1,  -0,  -0,   1,   1,   2,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  12,  13,  14,  14,  14,  14,  15,  15,  15,  16,  17,  17,  18,  19,  20,  21,  22,  23,  25,  24,  24,  25,  25,  25,  25,  26,  26,  27,  28,  30,  32,  32,  32,  32,  32,  30,  31,  31,  33,  31,  30,  30,  30,  32,  32,  28,  26,  24,  19,  18,  17,  15,  12,  10,   8,   9,  10,  10,   9,   8,  12,  12,  12,  12,  11,   8,   7,   7,   7,   8,   8,   8,   7,   7,   7,   7,   8,   9,   8,   8,   7,   7,   6,   4,   3,   2,   1,  -0,  -2,  -3,  -5,  -7,  -9, -11, -13, -15, -17, -19, -20, -22, -23, -24, -26, -28, -30, -31, -34, -35, -35, -36, -37, -38, -38, -37, -38, -39, -39, -38, -38, -38, -39, -39, -39, -39, -39, -38, -37, -34, -29, -24, -21, -20, -20, -20, -19, -18, -16, -15, -14, -14, -14, -13, -12, -12, -12, -10,  -9,  -6,   0,   4,   5,   8,   9,  11,  13,  15,  18,  20,  22,  25,  27,  29,  30,  32,  33,  35,  38,  40,  40,  38,  35,  36,  35,  36,  36,  38,  39,  41,  41,  41,  40,  42,  44,  46,  47,  47,  48,  48,  49,  49,  48,  48,  47,  47,  47,  48,
+  /* -27.0 */  48,  50,  49,  45,  29,  31,  34,  33,  31,  28,  25,  22,  19,  17,  15,  13,  12,  10,   9,   7,   7,   5,   4,   2,   2,   0,  -0,  -1,  -1,  -1,  -2,  -3,  -4,  -4,  -4,  -4,  -5,  -6,  -7,  -9, -10, -11, -12, -12, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -11, -11, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -0,   0,   1,   1,   1,   2,   2,   3,   3,   4,   4,   5,   6,   7,   8,   9,  10,  12,  13,  14,  16,  18,  19,  13,  23,  35,  41,  41,  37,  36,  26,  25,  24,  24,  22,  21,  19,  17,  15,  11,   8,   6,   5,   7,   6,   4,   1,   0,  -3,  -7,  -8, -11, -10, -10, -11, -12,  -9,  -9,  -8,  -7,  -5,  -4,  -3,  -3,  -2,  -2,  -1,  -1,   0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,  14,  14,  14,  14,  15,  15,  15,  16,  17,  17,  18,  19,  20,  21,  22,  22,  24,  26,  25,  25,  25,  25,  25,  25,  25,  26,  28,  31,  32,  33,  33,  31,  32,  30,  29,  28,  29,  28,  29,  29,  29,  29,  29,  28,  24,  22,  18,  15,  14,  13,  11,   7,   6,   6,   7,   7,   7,   6,   9,  10,   9,   8,   6,   5,   4,   4,   4,   4,   5,   5,   5,   4,   4,   4,   4,   5,   6,   6,   6,   5,   3,   3,   1,   0,  -1,  -2,  -4,  -6,  -8, -10, -12, -14, -16, -18, -19, -21, -23, -24, -26, -27, -27, -29, -32, -34, -36, -37, -38, -39, -39, -40, -40, -40, -40, -40, -39, -39, -38, -38, -38, -38, -38, -38, -38, -37, -34, -30, -26, -23, -20, -18, -18, -18, -17, -15, -14, -13, -12, -11, -10, -10,  -8,  -7,  -5,  -2,   0,   0,   1,   4,   7,   9,  12,  14,  16,  18,  20,  22,  24,  26,  29,  32,  34,  35,  36,  38,  41,  43,  43,  39,  37,  37,  37,  38,  41,  41,  42,  43,  44,  44,  43,  45,  46,  48,  49,  50,  50,  50,  50,  50,  50,  49,  48,  48,  47,  48,
+  /* -26.0 */  49,  51,  50,  47,  34,  32,  34,  34,  31,  28,  25,  22,  20,  17,  15,  14,  12,  10,   9,   8,   7,   6,   4,   3,   2,   1,   0,  -0,  -1,  -2,  -2,  -3,  -4,  -3,  -5,  -6,  -7,  -8,  -9, -10, -11, -11, -12, -12, -13, -13, -13, -13, -13, -13, -13, -12, -11, -11, -11, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -1,  -1,  -0,  -0,   0,   1,   1,   1,   1,   2,   2,   4,   4,   4,   5,   6,   6,   8,   9,   9,  11,  13,  15,  16,  17,  18,  16,  20,  34,  41,  43,  41,  36,  29,  27,  25,  25,  23,  21,  19,  17,  14,  11,   7,   5,   4,   5,   5,   4,   2,  -0,  -2,  -6, -10, -11, -11, -10, -11, -11, -11, -10,  -9,  -7,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -2,  -1,  -0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,  13,  14,  14,  14,  14,  15,  16,  16,  17,  18,  19,  19,  20,  21,  22,  23,  25,  27,  29,  24,  25,  25,  25,  25,  26,  28,  31,  32,  34,  34,  30,  28,  29,  28,  27,  27,  26,  26,  26,  26,  26,  27,  26,  20,  19,  16,  13,  12,  10,  10,   6,   5,   4,   5,   5,   4,   5,   8,   9,   7,   5,   3,   2,   2,   2,   2,   2,   3,   3,   3,   2,   2,   2,   2,   2,   3,   2,   2,   1,   1,   0,  -1,  -2,  -4,  -5,  -7,  -9, -11, -13, -15, -17, -19, -20, -22, -24, -25, -27, -29, -30, -29, -31, -34, -36, -38, -39, -40, -40, -41, -42, -42, -42, -41, -39, -40, -40, -39, -38, -37, -37, -37, -38, -37, -35, -31, -27, -24, -22, -19, -17, -17, -17, -14, -12, -11, -11, -10,  -8,  -7,  -6,  -2,   0,   3,   4,   1,   2,   4,   8,  10,  12,  14,  17,  19,  21,  23,  24,  26,  28,  31,  35,  38,  39,  40,  42,  45,  45,  45,  42,  40,  40,  40,  41,  41,  43,  45,  46,  47,  46,  46,  47,  49,  50,  51,  51,  51,  52,  52,  51,  51,  50,  49,  49,  49,  49,
+  /* -25.0 */  50,  51,  51,  50,  39,  28,  34,  34,  31,  28,  25,  22,  19,  17,  15,  14,  12,  10,  10,   9,   8,   7,   5,   4,   3,   2,   1,   0,  -1,  -2,  -3,  -4,  -4,  -5,  -5,  -7,  -8,  -9,  -9, -10, -11, -11, -12, -12, -12, -13, -13, -13, -13, -12, -11, -11, -11, -11, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,  -0,   0,   1,   1,   1,   2,   2,   3,   3,   3,   4,   5,   5,   8,   8,   8,  10,  11,  12,  14,  17,  18,  19,  16,  18,  36,  38,  41,  43,  39,  29,  27,  26,  25,  23,  21,  19,  17,  13,  10,   6,   4,   3,   2,   3,   4,   2,  -1,  -2,  -3,  -6, -10, -12, -11, -12, -11, -11,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -1,   0,   1,   2,   3,   4,   5,   7,   8,   9,  10,  12,  12,  13,  13,  13,  14,  14,  14,  15,  16,  16,  17,  18,  19,  20,  21,  22,  23,  24,  26,  28,  26,  24,  24,  24,  24,  25,  28,  30,  32,  33,  33,  29,  28,  28,  27,  26,  24,  24,  24,  22,  21,  21,  19,  21,  15,  15,  12,  11,  11,   8,   7,   6,   4,   3,   3,   3,   2,   5,   8,   9,   7,   3,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,  -0,  -0,  -1,  -2,  -3,  -4,  -5,  -6,  -8, -10, -12, -14, -16, -18, -20, -22, -24, -25, -27, -28, -30, -32, -33, -32, -33, -36, -38, -39, -41, -41, -42, -43, -43, -43, -43, -43, -42, -41, -40, -39, -38, -38, -37, -37, -35, -34, -34, -30, -25, -22, -21, -18, -16, -16, -15, -12,  -9,  -7,  -6,  -7,  -6,  -4,  -3,  -3,   0,   2,   3,   3,   5,   7,  10,  13,  16,  19,  21,  24,  26,  27,  28,  29,  32,  34,  38,  41,  44,  46,  46,  47,  47,  47,  43,  43,  41,  43,  44,  44,  48,  47,  48,  49,  48,  48,  49,  51,  53,  54,  53,  52,  53,  53,  52,  52,  51,  50,  49,  49,  50,
+  /* -24.0 */  50,  52,  52,  51,  45,  24,  32,  33,  31,  28,  25,  22,  20,  17,  15,  14,  12,  11,  11,  10,   8,   7,   6,   4,   3,   2,   1,   0,  -1,  -2,  -4,  -4,  -4,  -5,  -6,  -8,  -8,  -9,  -9, -10, -11, -11, -12, -12, -12, -13, -12, -12, -12, -12, -11, -11, -11, -10, -10, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   0,   0,   1,   1,   1,   2,   2,   3,   3,   4,   4,   6,   6,   8,   8,   9,  11,  12,  14,  16,  18,  19,  17,  17,  32,  34,  40,  43,  43,  31,  27,  24,  24,  23,  20,  18,  16,  13,   9,   5,   2,   1,  -1,  -0,  -0,  -1,  -3,  -2,  -3,  -4,  -6,  -8,  -9, -10, -12, -11, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -1,   0,   2,   3,   4,   5,   7,   8,   9,  11,  12,  12,  13,  13,  13,  13,  14,  14,  15,  16,  16,  17,  18,  19,  20,  21,  22,  24,  26,  27,  25,  23,  23,  23,  23,  25,  28,  29,  31,  33,  32,  29,  27,  26,  26,  24,  23,  22,  21,  19,  17,  19,  18,  15,  11,  12,   9,   8,   9,   6,   4,   4,   3,   2,   2,   1,  -0,   5,   7,   8,   6,   2,  -1,  -2,  -2,  -1,  -1,  -1,  -1,  -0,  -1,  -2,  -2,  -2,  -1,  -1,  -2,  -2,  -3,  -3,  -4,  -5,  -6,  -8,  -9, -11, -13, -15, -17, -19, -22, -23, -25, -27, -29, -30, -31, -33, -34, -35, -35, -36, -38, -41, -42, -43, -43, -43, -44, -44, -44, -45, -44, -43, -42, -41, -40, -39, -37, -37, -35, -32, -32, -33, -30, -25, -21, -19, -16, -13, -11, -10,  -8,  -5,  -4,  -4,  -4,  -3,  -1,   0,   2,   3,   4,   3,   5,   7,  10,  13,  17,  22,  24,  26,  28,  31,  32,  32,  33,  35,  38,  42,  46,  47,  48,  49,  49,  49,  48,  45,  44,  46,  47,  46,  47,  48,  49,  51,  50,  50,  50,  51,  54,  55,  55,  54,  53,  53,  54,  54,  53,  52,  51,  50,  50,  50,
+  /* -23.0 */  50,  52,  52,  52,  51,  29,  28,  31,  30,  28,  25,  23,  20,  18,  16,  14,  13,  12,  11,  10,   9,   8,   6,   5,   3,   3,   2,   1,  -1,  -1,  -3,  -4,  -5,  -7,  -7,  -8,  -8,  -9,  -9, -10, -10, -11, -11, -11, -12, -11, -12, -12, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -8,  -8,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   0,   0,   1,   1,   2,   2,   3,   4,   4,   6,   7,   7,   8,   9,  10,  12,  14,  16,  18,  20,  18,  15,  33,  36,  40,  44,  43,  37,  25,  24,  23,  21,  19,  18,  16,  13,   9,   5,  -0,  -2,  -3,  -4,  -5,  -5,  -5,  -4,  -2,  -3,  -4,  -6,  -6,  -6, -11, -11, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -5,  -4,  -3,  -2,  -1,   0,   1,   3,   4,   5,   7,   8,  10,  11,  12,  12,  13,  13,  13,  13,  14,  14,  15,  16,  17,  17,  18,  19,  20,  22,  23,  25,  26,  25,  24,  22,  22,  23,  24,  28,  29,  30,  32,  32,  30,  27,  25,  23,  22,  21,  19,  18,  17,  16,  15,  15,  14,  12,  10,   6,   6,   6,   3,   1,   0,   1,  -0,  -0,  -1,  -1,   3,   4,   6,   3,   1,  -3,  -4,  -5,  -4,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -5,  -6,  -7,  -8,  -9, -11, -13, -14, -17, -18, -21, -23, -25, -27, -28, -30, -32, -33, -35, -36, -37, -38, -38, -38, -41, -43, -43, -44, -45, -45, -45, -45, -46, -46, -45, -44, -43, -41, -39, -37, -37, -36, -34, -32, -31, -32, -31, -27, -21, -16, -13, -10,  -9,  -7,  -5,  -5,  -2,  -0,   1,   2,   3,   4,   6,   8,   9,  11,  13,  15,  19,  22,  24,  26,  28,  30,  33,  36,  37,  37,  37,  39,  42,  46,  49,  50,  50,  51,  51,  51,  50,  50,  48,  48,  49,  48,  50,  51,  52,  52,  52,  52,  52,  53,  57,  58,  57,  52,  49,  50,  50,  52,  53,  54,  52,  51,  50,  50,
+  /* -22.0 */  50,  52,  52,  53,  52,  44,  26,  30,  30,  28,  26,  23,  21,  18,  15,  14,  13,  12,  11,  11,  10,   9,   8,   5,   4,   4,   2,   1,  -0,  -1,  -3,  -4,  -5,  -6,  -6,  -7,  -8,  -9,  -9,  -9, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10,  -9,  -8,  -7,  -7,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   0,   1,   1,   2,   2,   3,   4,   6,   6,   7,   8,   9,  10,  11,  13,  16,  17,  19,  20,  15,  33,  37,  43,  44,  42,  39,  27,  23,  21,  21,  20,  18,  16,  14,   9,   4,  -1,  -3,  -4,  -6,  -6,  -7,  -6,  -5,  -3,  -3,  -4,  -5,  -5,  -6,  -8, -10, -10, -10, -10,  -9,  -8,  -7,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -3,  -2,  -1,   1,   2,   3,   4,   6,   8,   9,  10,  11,  12,  12,  13,  13,  13,  13,  14,  14,  15,  16,  17,  17,  18,  19,  21,  22,  23,  24,  25,  24,  23,  22,  23,  24,  27,  28,  29,  30,  31,  29,  27,  25,  21,  19,  19,  18,  16,  16,  14,  13,  11,  10,  10,   8,   4,   3,   2,  -1,  -2,  -3,  -2,  -2,  -3,  -3,  -2,   0,   0,   4,   3,  -0,  -5,  -7,  -7,  -7,  -6,  -5,  -4,  -4,  -6,  -6,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -8,  -9, -10, -12, -14, -16, -18, -20, -22, -24, -26, -28, -30, -32, -33, -35, -37, -38, -39, -39, -40, -40, -40, -44, -45, -45, -46, -46, -46, -46, -46, -47, -47, -47, -45, -44, -42, -40, -35, -34, -36, -33, -31, -31, -31, -29, -27, -22, -15, -12,  -9,  -7,  -7,  -6,  -2,   0,   3,   5,   5,   5,   7,  10,  13,  14,  15,  16,  19,  21,  25,  27,  30,  31,  34,  37,  40,  41,  41,  42,  43,  46,  49,  51,  52,  54,  53,  53,  54,  53,  52,  51,  51,  52,  51,  54,  52,  54,  54,  54,  53,  53,  59,  60,  58,  54,  51,  60,  61,  60,  58,  57,  54,  53,  51,  50,  50,
+  /* -21.0 */  50,  52,  52,  53,  53,  52,  35,  27,  30,  28,  26,  23,  20,  18,  16,  14,  14,  12,  12,  11,  11,   9,   7,   6,   5,   4,   2,   1,   0,  -0,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -8,  -9,  -9, -10, -10, -10, -10, -11, -11, -11, -12, -12, -12, -12, -12, -11, -11, -10, -10,  -9,  -8,  -7,  -6,  -6,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,   0,   0,   1,   1,   2,   3,   4,   6,   8,   8,   9,  10,  12,  14,  16,  18,  20,  20,  16,  32,  38,  43,  42,  43,  40,  29,  22,  23,  21,  21,  18,  16,  14,   9,   4,  -1,  -4,  -6,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -4,  -5,  -6,  -6,  -8, -11,  -9, -10,  -8,  -6,  -5,  -6,  -5,  -6,  -6,  -6,  -7,  -6,  -6,  -6,  -5,  -4,  -3,  -2,  -0,   1,   3,   4,   6,   7,   8,  10,  12,  12,  12,  13,  13,  13,  13,  14,  14,  15,  16,  16,  17,  17,  18,  19,  20,  22,  22,  23,  23,  23,  22,  23,  25,  26,  25,  27,  29,  28,  29,  28,  24,  21,  18,  18,  16,  15,  14,  13,  12,  10,   8,   5,   4,   3,   0,  -2,  -4,  -5,  -5,  -6,  -7,  -6,  -6,  -5,  -4,  -3,   0,   3,  -1,  -6,  -9,  -9,  -9,  -9,  -8,  -1,  -2, -10,  -9,  -8,  -7,  -8,  -8,  -9,  -9, -10, -11, -12, -13, -15, -17, -19, -22, -23, -26, -28, -30, -32, -34, -35, -37, -39, -40, -41, -42, -42, -43, -43, -43, -46, -46, -46, -47, -48, -47, -47, -47, -47, -48, -47, -46, -44, -42, -39, -37, -35, -35, -33, -31, -30, -28, -27, -24, -22, -18, -12,  -9,  -8,  -6,  -3,   1,   4,   6,   7,   8,   9,  11,  14,  16,  17,  20,  22,  24,  26,  28,  31,  32,  34,  36,  40,  44,  44,  43,  44,  47,  50,  53,  54,  55,  55,  56,  55,  56,  56,  53,  52,  54,  54,  54,  57,  54,  57,  57,  54,  54,  62,  60,  60,  57,  50,  62,  64,  64,  63,  62,  60,  59,  54,  53,  51,  50,
+  /* -20.0 */  50,  51,  51,  51,  52,  52,  43,  24,  29,  29,  26,  23,  21,  18,  16,  15,  13,  12,  11,  10,   9,   9,  10,   7,   5,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -4,  -6,  -6,  -7,  -8,  -8,  -9,  -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -11, -11, -11, -10, -10,  -9,  -8,  -8,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -1,  -1,  -0,   0,   1,   1,   2,   3,   5,   7,   8,   9,  11,  13,  15,  16,  18,  20,  19,  16,  34,  42,  43,  43,  44,  42,  30,  23,  24,  22,  20,  18,  16,  14,   9,   4,  -1,  -5,  -7,  -8,  -8,  -8,  -9,  -8,  -8,  -7,  -6, -10,  -6,  -6,  -7, -10,  -7,  -9,  -7,  -8,  -7,  -6,  -5,  -6,  -6,  -6,  -7,  -7,  -7,  -6,  -6,  -5,  -3,  -2,  -1,   1,   3,   4,   6,   7,   8,  10,  12,  12,  12,  12,  13,  13,  13,  13,  14,  15,  15,  16,  16,  17,  17,  18,  18,  19,  20,  21,  21,  23,  23,  24,  25,  25,  25,  26,  26,  26,  25,  23,  22,  19,  16,  15,  14,  13,  11,  11,  10,  10,   7,   5,   1,   1,  -1,  -4,  -4,  -9, -11,  -9, -10, -10,  -9,  -8,  -7,  -6,  -2,   1,  -1,  -7, -11, -11, -11, -11, -11, -11, -12, -12,  -7, -12, -10, -11, -11, -11, -12, -12, -13, -15, -16, -18, -21, -23, -25, -27, -29, -32, -33, -35, -37, -39, -40, -42, -44, -45, -46, -47, -46, -45, -45, -48, -48, -48, -48, -48, -49, -48, -48, -48, -48, -47, -46, -44, -42, -40, -37, -35, -34, -32, -30, -28, -26, -24, -22, -19, -17, -12,  -7,  -6,  -3,   1,   4,   8,   9,  10,  11,  14,  16,  18,  21,  23,  24,  24,  25,  28,  31,  33,  34,  37,  39,  43,  46,  45,  45,  48,  52,  55,  56,  57,  57,  57,  57,  57,  58,  56,  54,  55,  55,  55,  56,  58,  57,  58,  56,  56,  60,  59,  61,  58,  51,  55,  64,  65,  65,  64,  63,  61,  59,  57,  52,  51,  50,
+  /* -19.0 */  51,  50,  51,  51,  51,  50,  47,  26,  29,  29,  29,  25,  21,  18,  16,  14,  12,  12,  11,  10,  10,   9,   8,   6,   5,   4,   3,   2,   2,   2,   1,  -0,  -2,  -3,  -5,  -6,  -6,  -7,  -8,  -8,  -9,  -9, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -10, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -1,  -1,  -0,   1,   2,   3,   4,   6,   8,  10,  12,  13,  15,  17,  19,  21,  14,  20,  35,  44,  43,  44,  43,  39,  30,  22,  23,  22,  19,  17,  16,  12,   8,   4,  -2,  -5,  -7,  -8,  -8, -11, -11,  -9,  -9, -10, -10, -11, -11,  -9,  -8,  -7,  -8, -11,  -9,  -8,  -7,  -6,  -5,  -5,  -5,  -6,  -6,  -7,  -7,  -7,  -6,  -5,  -3,  -2,  -0,   1,   3,   5,   6,   7,   8,  10,  11,  11,  12,  12,  12,  12,  13,  13,  13,  14,  15,  16,  16,  16,  16,  17,  17,  18,  19,  19,  19,  19,  20,  22,  24,  24,  26,  25,  23,  22,  22,  21,  20,  17,  14,  13,  12,  11,  10,   8,   6,   6,   6,   6,   2,  -2,  -5,  -6,  -7,  -7, -11, -12, -13, -12, -11, -10, -10,  -8,  -3,  -1,  -2,  -7, -13, -13, -14, -13, -13, -14, -15, -12, -10, -13, -13, -14, -15, -16, -15, -16, -17, -18, -20, -22, -25, -27, -29, -31, -34, -36, -37, -39, -41, -42, -44, -45, -47, -49, -49, -50, -51, -48, -47, -51, -51, -51, -50, -49, -50, -49, -49, -48, -47, -46, -45, -44, -42, -40, -37, -35, -33, -31, -29, -27, -24, -22, -20, -17, -15, -14,  -7,  -4,  -0,   4,   8,  10,  11,  13,  16,  18,  20,  22,  24,  27,  29,  28,  29,  31,  34,  36,  37,  40,  42,  45,  47,  48,  49,  52,  56,  58,  59,  58,  58,  58,  58,  58,  59,  57,  57,  57,  58,  57,  56,  58,  58,  57,  57,  59,  59,  61,  60,  58,  53,  64,  66,  66,  65,  64,  63,  61,  59,  57,  55,  51,  51,
+  /* -18.0 */  50,  51,  50,  49,  49,  48,  47,  33,  26,  29,  27,  25,  21,  18,  16,  14,  13,  13,  11,  10,   9,   8,   7,   7,   6,   4,   5,   3,   3,   3,   3,   3,  -0,  -3,  -4,  -4,  -6,  -7,  -6,  -7,  -8,  -9,  -9, -10, -10, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -4,  -4,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -2,  -2,  -1,  -0,   1,   2,   4,   5,   8,  10,  12,  14,  16,  17,  17,  13,  18,  27,  38,  44,  44,  45,  41,  38,  30,  22,  22,  22,  21,  16,  13,  10,   6,   2,  -1,  -3,  -6,  -8,  -9, -13, -13, -11, -12, -12, -11, -11, -10, -10,  -9,  -8,  -6, -11,  -7,  -9,  -8,  -7,  -6,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -6,  -5,  -3,  -1,  -0,   2,   3,   5,   6,   7,   8,  10,  10,  11,  12,  12,  13,  13,  13,  13,  13,  14,  15,  15,  16,  16,  16,  16,  16,  16,  17,  18,  17,  17,  18,  20,  22,  25,  26,  24,  21,  20,  19,  18,  17,  14,  12,  11,  10,   9,   8,   4,   3,   2,   3,   4,   2,  -4,  -8, -10, -10,  -9, -11, -13, -14, -15, -14, -14, -11, -10,  -7,  -5,  -5,  -7, -13, -15, -16, -16, -16, -16, -16, -17, -17, -16, -16, -16, -17, -18, -19, -20, -21, -22, -24, -26, -29, -31, -33, -36, -38, -40, -41, -42, -44, -45, -47, -49, -50, -52, -53, -52, -54, -52, -48, -53, -53, -52, -52, -51, -50, -51, -49, -48, -47, -45, -44, -43, -41, -39, -36, -34, -32, -30, -27, -25, -22, -19, -17, -14, -12, -10,  -7,  -5,   0,   6,   8,  12,  14,  17,  20,  22,  24,  27,  28,  29,  32,  32,  33,  35,  37,  39,  41,  44,  45,  48,  50,  50,  51,  54,  57,  60,  60,  59,  58,  59,  60,  60,  60,  59,  59,  60,  60,  59,  57,  59,  58,  58,  59,  61,  60,  60,  60,  57,  58,  65,  67,  66,  65,  64,  63,  61,  59,  57,  56,  53,  50,
+  /* -17.0 */  51,  50,  49,  48,  47,  46,  45,  36,  24,  28,  27,  24,  20,  17,  16,  14,  12,  12,  11,  10,   9,   8,   7,   7,   6,   6,   5,   4,   5,   5,   3,   1,  -1,  -3,  -2,  -3,  -3,  -4,  -6,  -7,  -7,  -8,  -9, -10, -11, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -1,  -0,   1,   3,   5,   7,  10,  13,  15,  16,  14,  12,  19,  30,  39,  45,  45,  44,  43,  36,  25,  21,  23,  22,  22,  19,  14,  10,   7,   4,   1,  -1,  -3,  -4,  -7,  -9, -12, -12, -13, -15, -15, -12, -12, -11, -10,  -9,  -8, -12, -10, -10,  -9,  -8,  -8,  -7,  -7,  -6,  -7,  -7,  -8,  -8,  -7,  -6,  -4,  -2,  -1,   0,   2,   4,   5,   6,   7,   9,   9,  10,  11,  11,  12,  12,  13,  13,  13,  13,  13,  14,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  17,  18,  21,  22,  23,  24,  22,  21,  19,  18,  17,  15,  13,  11,  10,   9,   7,   7,   7,  -0,  -1,   1,   1,  -3,  -9, -11, -11, -11, -12, -13, -13, -15, -18, -17, -16, -14, -12, -13, -11,  -8,  -9, -13, -17, -17, -18, -18, -17, -17, -19, -19, -17, -17, -20, -21, -22, -23, -24, -24, -26, -28, -30, -33, -35, -38, -40, -42, -44, -45, -46, -47, -49, -50, -52, -54, -55, -56, -57, -56, -54, -51, -55, -54, -54, -53, -52, -49, -51, -49, -48, -46, -44, -42, -42, -40, -37, -35, -33, -31, -28, -25, -22, -20, -17, -14, -10,  -9,  -6,  -6,  -4,  -0,   7,  12,  16,  19,  22,  24,  26,  29,  31,  33,  31,  33,  35,  36,  38,  39,  43,  45,  45,  48,  50,  52,  52,  54,  57,  59,  61,  62,  59,  60,  61,  63,  63,  63,  61,  61,  61,  61,  60,  60,  60,  59,  58,  60,  59,  60,  60,  60,  58,  62,  66,  66,  66,  65,  63,  62,  61,  59,  58,  55,  54,  51,
+  /* -16.0 */  52,  49,  48,  46,  45,  44,  42,  34,  22,  28,  26,  23,  20,  17,  16,  14,  12,  12,  11,  10,   9,   8,   7,   7,   7,   6,   6,   5,   5,   4,   2,   1,  -1,   1,  -0,  -2,  -4,  -5,  -5,  -5,  -6,  -8,  -9, -10, -10, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -5,  -5,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -5,  -4,  -4,  -3,  -3,  -2,  -1,   0,   2,   5,   7,  10,  13,  15,  13,  15,  30,  38,  42,  45,  45,  46,  41,  32,  25,  22,  22,  24,  22,  21,  17,  13,   9,   5,   2,  -0,  -2,  -4,  -5,  -6,  -8, -11, -13, -13, -14, -14, -13, -12, -11,  -9,  -9,  -8,  -9, -14, -11,  -9,  -8,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -4,  -3,  -2,  -0,   2,   3,   5,   6,   7,   8,   9,  10,  10,  11,  11,  12,  13,  14,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  16,  20,  23,  24,  24,  22,  20,  18,  17,  16,  14,  12,  10,   8,   7,   7,   5,   3,   2,  -3,  -5,  -9,  -8, -10, -12, -11, -10, -14, -15, -16, -15, -22, -20, -21, -19, -18, -18, -17, -13, -10, -14, -18, -19, -20, -20, -19, -20, -21, -22, -20, -19, -21, -25, -26, -27, -27, -28, -29, -32, -34, -37, -40, -42, -45, -46, -48, -50, -50, -51, -52, -54, -55, -57, -58, -59, -59, -58, -57, -54, -57, -56, -56, -54, -53, -52, -50, -49, -46, -45, -43, -40, -40, -37, -35, -33, -31, -28, -25, -22, -19, -18, -15, -11,  -9,  -8,  -6,  -3,  -1,   2,   8,  14,  20,  22,  25,  27,  29,  33,  34,  35,  34,  35,  37,  39,  41,  43,  45,  47,  49,  50,  51,  52,  54,  56,  59,  62,  63,  62,  61,  63,  63,  64,  64,  63,  61,  61,  61,  62,  63,  62,  62,  61,  61,  60,  60,  59,  61,  60,  62,  64,  66,  66,  65,  64,  62,  61,  59,  58,  56,  54,  53,  52,
+  /* -15.0 */  49,  48,  46,  45,  44,  42,  38,  27,  27,  29,  26,  23,  20,  17,  15,  14,  13,  12,  11,  10,   9,   8,   7,   7,   6,   6,   6,   5,   3,   2,   1,   1,   2,   0,  -2,  -3,  -4,  -5,  -5,  -6,  -7,  -8,  -9, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -2,  -0,   2,   4,   7,  10,  12,  11,  15,  30,  38,  44,  46,  47,  47,  45,  33,  27,  27,  26,  25,  22,  20,  19,  16,  13,   8,   3,  -0,  -2,  -4,  -5,  -6,  -7,  -9, -12, -14, -15, -14, -13, -13, -13, -11, -10, -11,  -8, -13, -14, -12, -11,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -0,   1,   3,   5,   6,   7,   9,  10,  10,  10,  11,  12,  12,  12,  13,  13,  13,  13,  14,  13,  13,  13,  13,  13,  14,  14,  14,  14,  15,  15,  16,  18,  21,  22,  24,  22,  20,  18,  16,  15,  13,  11,   9,   7,   5,   4,   3,   2,  -0,  -3,  -8,  -9, -10, -11, -10, -12, -14, -16, -18, -19, -20, -23, -21, -23, -24, -26, -23, -20, -18, -14, -15, -19, -22, -22, -23, -22, -22, -23, -24, -27, -24, -24, -28, -29, -30, -31, -32, -33, -36, -38, -41, -43, -46, -49, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60, -61, -61, -58, -56, -56, -59, -58, -57, -55, -54, -53, -49, -48, -44, -43, -41, -40, -37, -34, -32, -31, -28, -25, -22, -18, -15, -14, -12,  -8,  -5,  -3,  -1,   1,   4,   6,  10,  15,  21,  26,  28,  30,  32,  35,  37,  37,  37,  39,  41,  43,  45,  47,  48,  51,  53,  52,  52,  54,  56,  58,  61,  64,  65,  63,  63,  64,  64,  63,  62,  61,  62,  62,  63,  63,  63,  64,  63,  64,  62,  61,  62,  63,  59,  54,  62,  64,  65,  65,  64,  63,  61,  59,  58,  56,  55,  53,  51,  49,
+  /* -14.0 */  47,  46,  44,  43,  38,  36,  32,  31,  33,  30,  29,  24,  19,  17,  16,  14,  13,  13,  12,  10,   9,   8,   7,   7,   6,   6,   5,   4,   3,   2,   3,   1,  -1,  -2,  -3,  -3,  -4,  -5,  -6,  -6,  -7,  -7,  -8,  -9,  -9,  -9, -10, -10, -10,  -9, -10,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -5,  -5,  -6,  -6,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -1,   1,   4,   6,   9,   9,  12,  24,  38,  37,  40,  45,  49,  44,  34,  31,  29,  29,  28,  25,  21,  19,  18,  15,  12,  10,   4,  -2,  -4,  -6,  -8,  -9, -10, -10, -11, -15, -17, -14, -13, -13, -13, -14, -12, -10,  -9, -12, -13, -12, -11, -10,  -9,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   0,   2,   4,   5,   6,   8,   9,   9,  10,  10,  11,  11,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  13,  13,  13,  13,  14,  15,  15,  16,  17,  19,  21,  22,  22,  21,  18,  16,  14,  12,   9,   6,   5,   4,   3,   1,  -0,  -2,  -5,  -7, -11, -11, -12, -11, -16, -17, -19, -20, -20, -22, -24, -23, -25, -26, -27, -25, -24, -18, -16, -16, -22, -24, -24, -25, -25, -25, -26, -27, -29, -29, -27, -31, -32, -34, -35, -36, -37, -40, -42, -45, -47, -50, -53, -55, -56, -58, -59, -60, -60, -61, -62, -62, -62, -64, -64, -63, -61, -60, -60, -59, -59, -56, -55, -53, -50, -46, -42, -41, -40, -38, -35, -30, -28, -27, -25, -21, -17, -14,  -9, -10,  -8,  -4,  -1,   1,   3,   6,   8,  10,  14,  19,  22,  27,  29,  32,  34,  36,  38,  39,  42,  42,  45,  48,  50,  51,  52,  54,  55,  55,  55,  57,  59,  62,  64,  66,  65,  64,  65,  64,  62,  62,  63,  63,  63,  64,  65,  66,  65,  64,  64,  65,  64,  64,  63,  62,  62,  52,  57,  65,  64,  64,  63,  61,  59,  58,  56,  54,  53,  51,  50,  47,
+  /* -13.0 */  41,  44,  41,  36,  36,  34,  32,  29,  28,  25,  24,  21,  19,  17,  15,  14,  13,  14,  13,  12,  10,   9,   8,   7,   7,   6,   4,   4,   3,   2,   1,   0,  -0,  -1,  -3,  -3,  -4,  -4,  -5,  -5,  -6,  -6,  -7,  -8,  -8,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -6,  -7,  -7,  -8,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -4,  -4,  -2,  -1,   1,   4,   6,   6,   7,  17,  32,  36,  34,  36,  41,  37,  31,  30,  31,  31,  29,  27,  24,  21,  19,  17,  13,  12,  11,   5,  -2,  -5,  -8,  -8,  -8, -11, -12, -12, -16, -18, -14, -13, -14, -16, -13, -12, -11, -11, -11, -12, -13, -12, -10,  -9,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -6,  -5,  -4,  -3,  -1,   1,   2,   4,   5,   7,   9,   9,   9,  10,  10,  10,  11,  12,  12,  14,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  14,  15,  16,  17,  18,  22,  21,  22,  22,  18,  15,  13,  11,   8,   5,   4,   2,   1,   0,  -2,  -5,  -5,  -6, -10, -14, -12, -15, -19, -17, -21, -22, -21, -22, -25, -27, -28, -27, -22, -27, -27, -21, -18, -21, -26, -26, -27, -28, -27, -28, -29, -30, -32, -34, -31, -34, -36, -37, -38, -39, -42, -44, -46, -49, -51, -54, -57, -59, -60, -62, -64, -64, -64, -64, -65, -65, -65, -66, -67, -65, -66, -63, -60, -61, -59, -57, -56, -53, -48, -43, -42, -40, -38, -37, -31, -26, -24, -22, -19, -17, -13, -10,  -6,  -4,  -3,   1,   3,   5,   7,  11,  12,  15,  18,  23,  26,  29,  32,  35,  36,  37,  39,  42,  44,  46,  49,  52,  54,  55,  56,  57,  58,  58,  59,  60,  61,  64,  67,  65,  64,  66,  65,  65,  65,  64,  64,  64,  64,  65,  67,  68,  68,  66,  66,  64,  65,  64,  63,  62,  59,  48,  59,  62,  62,  62,  60,  59,  57,  56,  54,  52,  50,  48,  46,  41,
+  /* -12.0 */  43,  41,  39,  35,  34,  31,  31,  27,  26,  25,  23,  20,  18,  17,  15,  15,  14,  14,  14,  13,  10,   9,   8,   7,   7,   6,   5,   4,   3,   3,   2,   1,   0,  -0,  -2,  -2,  -4,  -4,  -5,  -5,  -5,  -5,  -5,  -6,  -7,  -8,  -8,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -7,  -8,  -9,  -9,  -9, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   1,   3,   4,   2,  10,  24,  32,  33,  31,  31,  31,  28,  27,  29,  29,  30,  27,  23,  21,  19,  18,  15,  11,   9,   8,   2,  -5,  -8, -10,  -9, -11, -14, -16, -14, -15, -17, -16, -16, -16, -16, -13, -12, -12, -12, -11, -12, -13, -12, -11,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -6,  -5,  -4,  -2,  -0,   2,   3,   5,   6,   7,   9,  10,  10,  10,  10,  11,  11,  12,  12,  12,  13,  13,  12,  12,  11,  11,  11,  11,  11,  11,  12,  12,  13,  14,  15,  16,  17,  17,  19,  21,  22,  21,  19,  15,  12,  10,   7,   5,   3,   1,  -0,  -2,  -3,  -5,  -7,  -9, -10, -13, -13, -16, -19, -19, -23, -24, -24, -23, -26, -27, -26, -24, -27, -28, -29, -25, -24, -26, -29, -29, -30, -30, -30, -31, -32, -33, -35, -37, -34, -36, -39, -41, -42, -44, -46, -48, -51, -53, -55, -58, -61, -63, -64, -66, -68, -68, -68, -68, -68, -69, -68, -68, -69, -68, -67, -65, -62, -63, -59, -58, -56, -52, -48, -44, -39, -38, -36, -33, -28, -24, -21, -17, -14, -13,  -9,  -7,  -3,   0,   3,   6,   7,   8,  10,  13,  15,  17,  21,  23,  25,  30,  35,  37,  38,  41,  43,  45,  46,  49,  52,  54,  56,  57,  59,  60,  61,  62,  62,  62,  63,  67,  69,  68,  67,  68,  67,  67,  65,  65,  66,  66,  66,  67,  65,  67,  68,  67,  63,  67,  64,  62,  61,  60,  56,  46,  58,  61,  60,  60,  58,  57,  53,  52,  50,  49,  46,  46,  42,  43,
+  /* -11.0 */  39,  38,  34,  33,  31,  29,  28,  27,  26,  24,  22,  20,  19,  17,  17,  15,  15,  15,  15,  12,  11,   9,   8,   8,   7,   6,   6,   5,   5,   4,   3,   3,   2,   1,  -0,  -2,  -2,  -3,  -3,  -4,  -4,  -4,  -4,  -5,  -6,  -7,  -7,  -8,  -8,  -9,  -9,  -9,  -9, -10, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -8,  -9,  -9, -10, -10, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10,  -9,  -9,  -8,  -7,  -6,  -5,  -4,  -2,  -1,   1,   2,  -0,   2,  15,  27,  32,  31,  29,  28,  26,  27,  28,  28,  27,  27,  24,  21,  19,  18,  15,  11,   7,   2,  -2,  -4,  -9, -10, -10, -11, -12, -16, -19, -17, -16, -16, -16, -17, -17, -16, -16, -13, -12, -13, -12, -10, -10, -12, -11, -11, -10, -10,  -9,  -9,  -8,  -8,  -7,  -6,  -5,  -3,  -1,   1,   2,   4,   6,   7,   8,  10,  11,  12,  11,  11,  11,  11,  12,  13,  13,  13,  13,  12,  12,  12,  11,  11,  11,  10,  10,  11,  11,  12,  13,  14,  14,  15,  17,  18,  18,  20,  19,  16,  13,  10,   8,   6,   4,   1,  -1,  -1,  -3,  -4,  -6,  -9, -10, -11, -12, -14, -15, -17, -18, -22, -25, -24, -24, -27, -27, -29, -29, -30, -31, -30, -31, -30, -30, -31, -30, -31, -32, -32, -33, -34, -36, -37, -38, -36, -38, -42, -45, -47, -48, -50, -52, -55, -57, -58, -62, -65, -67, -69, -70, -71, -72, -72, -72, -72, -72, -72, -70, -70, -70, -68, -67, -63, -65, -60, -57, -55, -52, -48, -44, -39, -37, -33, -29, -26, -23, -19, -14,  -8,  -8,  -7,  -5,  -2,  -0,   3,   5,   5,   4,   7,  11,  13,  16,  18,  23,  27,  29,  30,  31,  37,  42,  46,  48,  49,  52,  55,  57,  59,  59,  60,  62,  63,  64,  66,  66,  67,  69,  72,  72,  70,  70,  69,  68,  69,  72,  75,  74,  74,  72,  70,  65,  69,  68,  65,  64,  58,  62,  56,  55,  52,  54,  58,  59,  57,  56,  52,  51,  49,  46,  45,  43,  41,  40,  39,  39,
+  /* -10.0 */  35,  33,  31,  30,  29,  27,  27,  26,  25,  22,  21,  20,  18,  17,  16,  15,  16,  15,  14,  13,  11,  10,   8,   8,   7,   7,   7,   6,   6,   5,   5,   4,   2,   2,   0,  -1,  -1,  -2,  -2,  -3,  -3,   1,  -2,  -4,  -5,  -6,  -7,  -7,  -8,  -9,  -9, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10,  -9,  -9,  -8,  -8,  -8,  -8,  -8,  -8,  -9,  -9, -10, -11, -11, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -10,  -9,  -8,  -7,  -6,  -5,  -4,  -2,  -1,   1,   0,  -1,   9,  20,  24,  28,  27,  23,  26,  26,  27,  27,  26,  25,  23,  21,  18,  16,  14,  11,   7,   3,  -1,  -4,  -4,  -7, -10, -12, -12, -13, -15, -19, -19, -19, -19, -17, -16, -15, -17, -17, -14, -12, -12, -11,  -9,  -9, -12, -11, -11, -11, -10, -10,  -9,  -8,  -7,  -7,  -6,  -4,  -3,  -1,   2,   4,   5,   7,   8,   9,  10,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  11,  10,  10,  10,  10,  10,  10,  11,  11,  12,  13,  14,  15,  17,  17,  17,  16,  13,  11,   8,   6,   4,   2,  -2,  -4,  -5,  -5,  -7,  -6,  -9, -13, -12, -11, -12, -17, -15, -19, -22, -23, -24, -27, -31, -30, -32, -32, -33, -33, -34, -33, -33, -32, -30, -32, -33, -33, -34, -35, -36, -38, -39, -38, -39, -42, -46, -49, -51, -52, -54, -56, -59, -61, -63, -65, -68, -71, -73, -74, -75, -76, -76, -76, -75, -75, -75, -74, -71, -70, -69, -68, -65, -65, -60, -58, -54, -52, -47, -43, -39, -35, -32, -27, -23, -21, -16, -11,  -6,  -5,  -8,  -7,  -4,  -2,   1,   5,  10,  10,  11,  14,  16,  19,  27,  36,  34,  27,  27,  33,  33,  36,  42,  47,  50,  52,  55,  58,  60,  61,  63,  65,  64,  66,  68,  69,  70,  72,  74,  74,  71,  69,  69,  75,  78,  78,  77,  74,  73,  73,  71,  70,  67,  66,  63,  63,  63,  58,  60,  60,  58,  58,  57,  56,  54,  51,  50,  47,  44,  43,  41,  39,  38,  36,  35,  35,
+  /*  -9.0 */  32,  29,  29,  27,  26,  25,  24,  24,  23,  22,  20,  19,  17,  17,  16,  15,  15,  15,  13,  12,  11,   9,  12,   9,   8,   8,   8,   7,   7,   7,   5,   5,   3,   2,   1,   0,   0,  -0,  -1,  -0,   2,  -2,  -3,  -3,  -4,  -6,  -7,  -8,  -8,  -9, -10, -10, -10, -11, -11, -11, -11, -12, -12, -12, -13, -13, -12, -12, -12, -11, -11, -10, -10,  -9,  -9,  -9,  -9,  -9, -10, -10, -11, -12, -12, -12, -13, -13, -13, -13, -12, -12, -12, -12, -11, -11, -10,  -9,  -8,  -7,  -5,  -4,  -2,  -0,   0,  -2,   6,  14,  19,  19,  18,  19,  21,  25,  25,  26,  26,  24,  23,  20,  17,  14,  12,  11,   8,   4,   1,  -3,  -5,  -8, -10, -13, -15, -16, -16, -17, -21, -22, -21, -21, -20, -19, -18, -16, -14, -14, -12, -11,  -9,  -8,  -7,  -8, -11, -11, -11, -10, -10,  -9,  -8,  -7,  -6,  -5,  -4,  -2,  -0,   2,   4,   6,   8,   9,  10,  12,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  12,  10,  10,   9,   9,   9,   9,   9,  10,  10,  11,  11,  13,  16,  16,  15,  13,  10,   8,   6,   4,   2,  -0,  -3,  -6,  -8, -10,  -9,  -8, -12, -14, -13, -11, -12, -14, -13, -19, -21, -24, -25, -31, -33, -33, -34, -35, -35, -37, -34, -38, -35, -34, -34, -34, -36, -35, -36, -37, -38, -40, -41, -40, -44, -46, -49, -52, -54, -56, -58, -60, -63, -64, -66, -69, -72, -75, -76, -78, -79, -80, -80, -79, -78, -77, -77, -76, -74, -72, -70, -68, -65, -65, -60, -58, -55, -50, -46, -42, -37, -32, -30, -25, -21, -17, -13, -10,  -9,  -9,  -6,  -3,   1,   7,  11,  16,  21,  24,  27,  31,  35,  33,  36,  40,  37,  35,  32,  37,  42,  42,  37,  34,  41,  46,  52,  56,  60,  62,  65,  67,  66,  67,  69,  70,  71,  73,  75,  74,  74,  71,  77,  82,  78,  78,  78,  77,  74,  73,  71,  70,  69,  67,  63,  62,  62,  54,  60,  59,  56,  56,  54,  52,  49,  48,  45,  43,  42,  41,  39,  38,  36,  35,  33,  32,
+  /*  -8.0 */  29,  27,  26,  25,  24,  22,  21,  21,  20,  20,  19,  18,  17,  17,  17,  16,  15,  15,  14,  12,  12,  10,  10,  10,   9,   9,   9,   9,   8,   8,   6,   5,   4,   3,   2,   2,   2,   1,   0,   3,   1,  -1,  -2,  -3,  -4,  -5,  -6,  -8,  -8,  -9, -10, -10, -11, -12, -12, -12, -13, -13, -13, -14, -13, -13, -13, -13, -13, -13, -12, -12, -11, -11, -11, -10, -10, -10, -11, -11, -11, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -11, -10,  -9,  -8,  -7,  -5,  -4,  -2,  -0,  -0,  -2,   9,  15,  20,  13,  12,  15,  21,  23,  24,  26,  24,  22,  20,  18,  15,  11,  10,   8,   4,   1,  -1,  -4,  -7, -10, -14, -16, -18, -19, -19, -20, -22, -23, -23, -23, -23, -23, -22, -19, -16, -13, -11, -10,  -8,  -6,  -5,  -5, -10, -11, -11, -11,  -9,  -8,  -8,  -7,  -6,  -5,  -4,  -2,   0,   2,   4,   6,   8,  10,  11,  12,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  13,  13,  10,  10,   9,   9,   8,   8,   8,   9,   9,  10,  11,  13,  13,  12,  10,   7,   6,   4,   1,  -1,  -3,  -5,  -7,  -8, -12, -14, -11, -12, -11, -14, -14, -15, -17, -15, -17, -22, -25, -27, -29, -34, -35, -36, -37, -38, -40, -36, -40, -38, -36, -37, -36, -37, -38, -38, -39, -41, -42, -43, -44, -47, -50, -53, -55, -58, -60, -61, -63, -66, -69, -69, -72, -76, -79, -80, -82, -82, -83, -84, -83, -82, -81, -80, -79, -77, -75, -72, -70, -66, -65, -61, -58, -54, -50, -45, -42, -35, -30, -26, -23, -19, -15, -13, -12, -12,  -7,   2,  12,  19,  24,  25,  27,  30,  33,  34,  33,  35,  37,  37,  38,  38,  41,  43,  45,  46,  48,  46,  42,  42,  46,  47,  51,  59,  63,  66,  67,  68,  69,  70,  71,  72,  74,  75,  75,  74,  75,  84,  75,  68,  72,  73,  69,  71,  69,  69,  68,  70,  65,  63,  61,  57,  59,  58,  56,  54,  51,  50,  49,  47,  44,  42,  41,  39,  39,  37,  36,  34,  33,  31,  29,
+  /*  -7.0 */  27,  25,  24,  22,  21,  21,  20,  19,  20,  19,  18,  17,  17,  17,  17,  16,  15,  14,  14,  13,  12,  12,  11,  11,  11,  10,  10,   9,   9,   8,   7,   6,   5,   4,   4,   3,   3,   3,   2,   0,  -0,  -0,  -1,  -2,  -4,  -5,  -6,  -7,  -8,  -9, -10, -10, -11, -12, -12, -13, -13, -14, -14, -14, -15, -15, -15, -14, -14, -14, -14, -13, -13, -12, -12, -12, -12, -11, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -14, -13, -13, -13, -12, -12, -11, -10,  -8,  -7,  -5,  -3,  -2,  -0,  -2,   3,   9,  17,  19,  11,  12,  16,  20,  22,  23,  24,  23,  22,  19,  16,  13,   9,   7,   4,   1,  -2,  -4,  -6,  -9, -12, -16, -18, -20, -21, -21, -21, -22, -23, -24, -24, -25, -24, -23, -21, -18, -14, -11, -10,  -9,  -6,  -4,  -4,  -9, -10,  -9,  -9,  -8,  -7,  -7,  -6,  -5,  -4,  -2,  -1,   1,   3,   5,   8,   9,  10,  12,  13,  14,  15,  16,  16,  16,  16,  16,  15,  15,  15,  16,  16,  16,  16,  15,  13,  11,  10,   9,   9,   8,   8,   7,   7,   8,  11,  13,  11,  10,   9,   7,   5,   3,   1,  -2,  -5,  -7,  -9, -10, -11, -13, -16, -15, -11, -11, -13, -14, -16, -16, -19, -20, -22, -25, -27, -30, -34, -36, -37, -38, -39, -40, -43, -43, -39, -39, -38, -38, -39, -39, -40, -42, -43, -44, -45, -49, -51, -53, -56, -58, -61, -63, -65, -66, -69, -73, -73, -74, -78, -82, -84, -85, -86, -86, -87, -86, -84, -82, -81, -81, -78, -76, -73, -70, -65, -64, -61, -58, -52, -48, -44, -40, -34, -29, -23, -18, -17, -15, -12,  -9,  -6,   8,  20,  22,  22,  24,  25,  28,  31,  34,  37,  39,  41,  43,  44,  44,  49,  48,  48,  49,  50,  50,  50,  50,  50,  45,  42,  46,  54,  63,  67,  68,  70,  70,  70,  72,  73,  75,  76,  77,  77,  78,  73,  60,  59,  65,  67,  70,  68,  60,  63,  70,  67,  62,  59,  56,  59,  58,  55,  53,  52,  50,  48,  46,  44,  42,  40,  39,  37,  37,  35,  32,  31,  30,  29,  27,
+  /*  -6.0 */  26,  24,  22,  21,  20,  19,  19,  18,  19,  18,  17,  17,  17,  17,  17,  16,  16,  15,  15,  14,  13,  12,  12,  12,  12,  11,  11,  10,  10,  10,   9,   7,   7,   6,   5,   5,   4,   3,   3,   1,   1,   0,  -1,  -2,  -4,  -5,  -6,  -7,  -8,  -9, -10, -10, -11, -12, -13, -14, -14, -14, -15, -15, -15, -15, -16, -16, -15, -15, -15, -15, -14, -13, -13, -13, -13, -13, -13, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -12, -12, -11,  -9,  -8,  -6,  -5,  -3,  -1,  -0,  -3,   8,  10,  17,  19,  14,  13,  15,  18,  20,  22,  23,  23,  21,  18,  14,  12,   8,   3,   1,  -2,  -5,  -6,  -9, -11, -14, -17, -19, -21, -21, -22, -22, -23, -24, -24, -26, -25, -24, -23, -22, -19, -15, -12, -11,  -8,  -7,  -5,  -5,  -8,  -8,  -8,  -8,  -7,  -6,  -6,  -5,  -3,  -2,  -1,   1,   2,   4,   6,   8,  10,  12,  13,  14,  15,  16,  17,  18,  17,  17,  16,  16,  16,  16,  16,  17,  17,  17,  16,  15,  12,  11,   9,   9,   8,   7,   7,   7,   8,   9,  11,   7,   6,   5,   4,   1,  -1,  -4,  -6,  -8, -10, -13, -15, -15, -15, -16, -15, -13, -13, -13, -15, -18, -18, -20, -20, -19, -23, -28, -32, -34, -37, -39, -39, -40, -41, -42, -42, -42, -41, -40, -40, -39, -41, -42, -43, -44, -45, -49, -51, -54, -56, -59, -61, -64, -66, -68, -69, -72, -76, -77, -76, -80, -86, -87, -88, -89, -89, -90, -90, -89, -87, -86, -84, -81, -77, -75, -71, -66, -63, -61, -56, -51, -48, -44, -37, -31, -27, -21, -17, -17, -12, -10,  -4,   8,  14,  19,  21,  24,  26,  28,  31,  34,  37,  40,  42,  44,  46,  47,  50,  49,  51,  52,  55,  55,  54,  54,  53,  53,  50,  35,  44,  53,  58,  66,  68,  70,  70,  70,  73,  75,  79,  81,  82,  81,  72,  71,  70,  75,  81,  75,  60,  57,  56,  71,  65,  63,  60,  60,  60,  58,  56,  54,  52,  49,  47,  45,  44,  42,  40,  39,  37,  36,  34,  33,  32,  31,  28,  27,  26,
+  /*  -5.0 */  24,  23,  21,  20,  20,  19,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  16,  16,  15,  14,  14,  13,  13,  13,  13,  12,  12,  12,  11,  11,  10,   9,   8,   8,   7,   6,   5,   4,   3,   2,   1,  -0,  -1,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -10, -11, -12, -12, -13, -14, -14, -15, -15, -16, -16, -17, -17, -17, -17, -16, -16, -16, -16, -15, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -12, -11, -10,  -9,  -8,  -6,  -4,  -2,  -0,   1,  -2,  11,  17,  18,  11,  10,  11,  15,  19,  21,  21,  22,  20,  19,  15,  13,  10,   6,   0,  -3,  -4,  -6,  -8, -11, -13, -16, -18, -20, -21, -22, -22, -22, -24, -25, -25, -26, -26, -25, -23, -22, -19, -15, -12, -10,  -8,  -7,  -6,  -7,  -8,  -8,  -7,  -6,  -5,  -5,  -4,  -3,  -2,  -1,   0,   2,   3,   5,   7,   9,  11,  12,  14,  15,  16,  17,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  16,  14,  12,  10,   9,   8,   8,   7,   7,   6,   6,   4,   4,   3,   2,   0,  -2,  -6,  -8, -10, -12, -14, -15, -16, -17, -16, -16, -15, -13, -15, -15, -16, -19, -20, -19, -19, -18, -23, -27, -30, -34, -38, -40, -41, -42, -42, -43, -43, -43, -43, -42, -42, -41, -43, -41, -41, -44, -49, -51, -54, -56, -59, -61, -64, -66, -69, -71, -72, -75, -78, -81, -81, -84, -88, -90, -91, -91, -92, -93, -93, -92, -88, -87, -86, -83, -79, -76, -72, -67, -64, -60, -56, -50, -46, -42, -35, -30, -24, -19, -19, -15,  -9,  -4,   8,  13,  16,  20,  23,  26,  28,  30,  33,  36,  40,  43,  45,  47,  47,  50,  54,  54,  57,  57,  56,  56,  58,  58,  58,  56,  55,  43,  49,  59,  57,  68,  68,  70,  69,  72,  76,  81,  84,  81,  77,  70,  68,  74,  78,  80,  82,  80,  74,  58,  60,  64,  66,  66,  63,  61,  59,  57,  54,  52,  50,  47,  45,  43,  42,  41,  39,  37,  35,  34,  33,  31,  29,  28,  27,  26,  24,
+  /*  -4.0 */  24,  22,  21,  20,  19,  19,  18,  18,  18,  18,  16,  17,  17,  16,  17,  17,  17,  16,  15,  14,  14,  14,  14,  14,  14,  14,  13,  12,  13,  12,  12,  11,  10,   9,   8,   7,   6,   4,   3,   2,   1,  -0,  -2,  -3,  -4,  -5,  -6,  -7,  -9,  -9, -10, -11, -12, -13, -14, -15, -15, -16, -16, -17, -18, -18, -18, -18, -18, -18, -18, -17, -17, -16, -16, -16, -15, -15, -15, -15, -15, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -12, -11, -11,  -9,  -8,  -7,  -5,  -3,  -1,   1,   2,   0,   8,  16,  17,  13,  10,  12,  16,  20,  21,  21,  20,  18,  16,  13,  10,   8,   4,  -2,  -5,  -6,  -7,  -8, -10, -12, -16, -20, -20, -20, -21, -22, -23, -24, -25, -25, -26, -27, -26, -23, -21, -19, -15, -13, -10,  -8,  -9,  -8,  -8,  -7,  -6,  -6,  -6,  -4,  -3,  -3,  -2,  -1,   0,   1,   3,   5,   6,   7,  10,  11,  13,  14,  16,  17,  18,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  15,  14,  12,  11,   9,   8,   8,   5,   5,   5,   3,   3,   3,   1,  -2,  -6,  -9, -10, -13, -14, -15, -17, -18, -18, -18, -16, -15, -12, -12, -15, -17, -19, -20, -19, -19, -18, -21, -24, -31, -33, -37, -40, -41, -43, -44, -44, -44, -44, -44, -44, -44, -44, -44, -42, -44, -49, -51, -54, -56, -59, -61, -64, -67, -69, -71, -73, -75, -77, -81, -84, -86, -87, -90, -92, -93, -94, -94, -95, -94, -94, -91, -87, -87, -85, -80, -76, -73, -66, -63, -60, -55, -49, -44, -39, -33, -28, -22, -19, -19, -10,  -3,   7,  11,  14,  17,  21,  24,  27,  29,  32,  35,  39,  42,  44,  48,  50,  48,  51,  57,  57,  61,  59,  56,  58,  59,  59,  59,  59,  58,  57,  54,  65,  67,  70,  76,  81,  82,  81,  77,  79,  78,  77,  75,  75,  77,  79,  81,  81,  80,  78,  74,  66,  63,  63,  65,  64,  61,  59,  56,  54,  52,  50,  48,  45,  44,  43,  41,  40,  38,  35,  34,  32,  30,  29,  29,  27,  26,  25,  24,
+  /*  -3.0 */  23,  21,  20,  20,  19,  19,  18,  18,  18,  17,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  14,  14,  15,  15,  14,  14,  14,  14,  14,  13,  12,  11,  10,   9,   8,   7,   6,   5,   4,   3,   1,  -0,  -1,  -3,  -4,  -5,  -7,  -8,  -9, -10, -11, -12, -13, -14, -15, -16, -17, -17, -18, -18, -19, -19, -19, -20, -19, -19, -19, -18, -18, -18, -17, -17, -16, -16, -16, -16, -15, -15, -15, -15, -14, -14, -14, -14, -13, -13, -12, -12, -11, -10,  -8,  -7,  -6,  -4,  -3,  -0,   2,   4,   3,   5,  10,  22,  16,  10,  14,  18,  20,  20,  19,  18,  17,  14,  10,   8,   6,   2,  -2,  -4,  -7,  -9, -12, -15, -15, -15, -18, -18, -19, -20, -22, -22, -24, -25, -26, -26, -27, -27, -24, -22, -20, -16, -13, -11, -11, -11, -10,  -9,  -8,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   0,   1,   2,   4,   5,   6,   8,  10,  11,  13,  15,  16,  18,  19,  20,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  17,  15,  14,  13,  11,  10,   8,   8,   7,   4,   4,   5,   4,   2,  -2,  -8, -11, -13, -15, -15, -18, -20, -19, -19, -18, -16, -14,  -9,  -9, -13, -16, -18, -19, -18, -18, -16, -20, -25, -30, -31, -38, -40, -41, -43, -45, -45, -46, -46, -45, -45, -45, -46, -46, -47, -49, -51, -53, -55, -58, -61, -64, -66, -69, -71, -73, -75, -77, -80, -84, -87, -89, -90, -92, -95, -96, -97, -97, -98, -98, -96, -93, -88, -89, -87, -82, -77, -73, -67, -63, -59, -54, -48, -43, -37, -31, -27, -21, -23, -15, -10,   4,   8,  12,  15,  18,  22,  25,  28,  31,  34,  38,  41,  43,  45,  50,  53,  54,  56,  61,  61,  61,  58,  58,  60,  60,  59,  58,  60,  60,  59,  63,  69,  69,  69,  69,  77,  78,  76,  77,  78,  77,  78,  78,  79,  79,  80,  79,  78,  77,  76,  71,  67,  62,  63,  63,  61,  59,  56,  54,  52,  50,  48,  45,  44,  42,  40,  39,  38,  37,  34,  33,  32,  30,  27,  26,  26,  25,  24,  23,
+  /*  -2.0 */  22,  21,  20,  19,  19,  19,  17,  17,  17,  16,  16,  16,  15,  15,  15,  15,  15,  15,  14,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  13,  12,  12,  11,  10,   9,   8,   6,   5,   4,   3,   1,  -0,  -2,  -3,  -4,  -6,  -7,  -8,  -9, -10, -11, -13, -14, -15, -16, -17, -18, -19, -19, -20, -20, -21, -21, -21, -21, -21, -20, -20, -19, -19, -18, -18, -17, -17, -17, -16, -16, -16, -15, -15, -14, -14, -13, -13, -13, -12, -11, -11, -10,  -9,  -8,  -7,  -5,  -4,  -2,   0,   3,   5,   6,  11,  18,  23,  23,  14,  16,  19,  20,  19,  17,  16,  15,  14,  10,   7,   5,   1,  -2,  -5,  -7,  -9, -12, -15, -16, -17, -19, -22, -22, -22, -23, -23, -24, -25, -25, -25, -26, -26, -22, -20, -19, -17, -16, -16, -13, -12, -11, -10,  -8,  -7,  -6,  -4,  -4,  -2,  -1,   1,   2,   4,   5,   6,   8,   8,  10,  12,  13,  14,  15,  17,  18,  20,  20,  20,  20,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  16,  15,  14,  12,  11,  10,   7,   5,   7,   7,   4,   2,  -3,  -7, -11, -15, -18, -20, -21, -21, -21, -20, -19, -17, -14,  -7,  -8, -12, -16, -18, -18, -17, -19, -15, -20, -25, -29, -31, -38, -41, -41, -44, -45, -47, -47, -47, -47, -46, -47, -48, -48, -49, -51, -53, -55, -57, -60, -63, -66, -69, -71, -72, -75, -77, -79, -83, -86, -89, -91, -92, -93, -97, -98, -99,-100,-101,-100, -98, -94, -92, -90, -87, -83, -78, -72, -68, -64, -59, -54, -47, -42, -36, -30, -26, -25, -17, -16,  -3,   5,   8,  12,  15,  19,  22,  26,  29,  33,  36,  39,  42,  45,  48,  51,  53,  51,  57,  64,  64,  61,  61,  61,  62,  64,  62,  59,  64,  68,  69,  71,  71,  70,  72,  72,  74,  75,  74,  71,  71,  73,  76,  78,  78,  78,  78,  76,  74,  73,  70,  66,  63,  62,  62,  61,  60,  57,  54,  51,  49,  48,  46,  44,  42,  41,  40,  38,  37,  35,  33,  32,  30,  27,  28,  27,  25,  24,  23,  22,
+  /*  -1.0 */  21,  20,  20,  19,  19,  17,  17,  17,  16,  16,  16,  15,  14,  16,  15,  14,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  15,  14,  14,  13,  12,  12,  11,  10,   9,   8,   7,   5,   4,   2,   1,  -0,  -2,  -3,  -5,  -6,  -7,  -9, -10, -11, -12, -13, -15, -16, -17, -18, -19, -20, -21, -21, -22, -22, -22, -23, -22, -22, -22, -21, -21, -20, -19, -19, -18, -18, -17, -17, -17, -16, -16, -15, -14, -14, -13, -13, -12, -11, -11, -10, -10,  -6,  -4,  -4,  -3,  -2,  -1,   1,   4,   7,   9,  10,  16,  24,  23,  15,  17,  19,  20,  19,  17,  15,  14,  12,   8,   5,   2,  -1,  -3,  -6,  -8,  -9, -12, -15, -18, -20, -21, -24, -24, -23, -24, -23, -25, -25, -25, -25, -24, -22, -22, -23, -22, -20, -18, -16, -14, -12, -10,  -8,  -6,  -4,  -2,  -1,   1,   4,   5,   6,   6,   7,   7,   8,   8,   9,  10,  13,  15,  17,  18,  18,  19,  19,  20,  20,  20,  20,  20,  19,  19,  18,  18,  18,  18,  18,  18,  17,  18,  17,  17,  16,  16,  14,  14,  12,   9,   8,   8,   6,   4,   0,  -4,  -8, -13, -15, -19, -21, -21, -21, -21, -20, -18, -16, -12,  -7,  -8, -12, -14, -17, -17, -15, -15, -16, -20, -24, -28, -31, -34, -40, -42, -43, -45, -48, -49, -48, -49, -48, -48, -49, -50, -51, -53, -54, -56, -59, -62, -64, -67, -70, -72, -74, -77, -78, -81, -85, -88, -91, -94, -93, -95, -99, -99,-100,-101,-102,-101,-100, -97, -95, -92, -88, -84, -79, -74, -67, -62, -59, -54, -47, -41, -35, -29, -27, -23, -17, -12,  -0,   3,   8,  11,  15,  19,  22,  26,  30,  34,  37,  41,  45,  48,  50,  54,  54,  54,  55,  62,  61,  64,  61,  50,  44,  45,  55,  68,  71,  72,  74,  77,  79,  78,  75,  75,  72,  70,  69,  72,  73,  73,  73,  73,  73,  73,  72,  71,  69,  64,  62,  60,  60,  59,  60,  59,  58,  56,  53,  50,  48,  46,  44,  42,  41,  39,  39,  37,  35,  33,  32,  31,  28,  28,  28,  26,  24,  24,  22,  21,
+  /*   0.0 */  21,  20,  20,  19,  19,  18,  17,  16,  15,  15,  15,  15,  15,  15,  14,  15,  16,  16,  16,  16,  16,  17,  16,  16,  17,  16,  15,  14,  14,  13,  13,  12,  11,  10,   9,   8,   6,   5,   3,   2,   1,  -1,  -2,  -4,  -6,  -7,  -8,  -9, -11, -12, -13, -14, -16, -17, -18, -19, -20, -21, -22, -23, -23, -24, -24, -24, -24, -23, -23, -22, -22, -21, -20, -20, -19, -19, -18, -18, -17, -16, -16, -15, -14, -13, -13, -12, -11, -11, -10,  -9,  -8,  -6,  -4,  -4,  -3,  -2,  -0,   1,   3,   6,  10,   9,  14,  22,  25,  17,  18,  20,  21,  19,  19,  17,  14,  11,   7,   3,   0,  -2,  -5,  -7,  -8, -10, -13, -16, -19, -21, -23, -25, -26, -25, -24, -24, -26, -27, -26, -26, -25, -23, -25, -25, -23, -20, -19, -16, -14, -12, -10,  -8,  -7,  -4,  -2,   0,   2,   4,   6,   8,   9,  10,  10,  10,  11,  12,  13,  13,  15,  17,  18,  19,  19,  19,  19,  19,  19,  20,  19,  19,  19,  19,  18,  18,  17,  17,  17,  17,  17,  17,  17,  16,  17,  16,  14,  12,   9,   9,   8,   6,   3,  -1,  -4,  -8, -11, -15, -17, -19, -20, -21, -21, -19, -17, -15, -12,  -7, -10, -12, -12, -14, -16, -16, -14, -12, -19, -23, -27, -30, -33, -35, -41, -43, -45, -48, -49, -50, -49, -49, -49, -50, -51, -52, -53, -55, -58, -60, -63, -66, -68, -71, -73, -75, -78, -80, -83, -86, -89, -92, -95, -95, -96,-100,-101,-102,-103,-103,-103,-102, -99, -94, -93, -89, -84, -79, -74, -69, -63, -58, -53, -47, -40, -34, -30, -29, -19, -13,  -7,  -2,   2,   6,  10,  14,  18,  22,  26,  30,  34,  37,  41,  45,  50,  54,  55,  55,  53,  54,  58,  61,  63,  56,  55,  51,  47,  69,  72,  74,  77,  76,  73,  74,  73,  72,  68,  68,  70,  71,  72,  72,  72,  72,  71,  69,  68,  66,  66,  62,  63,  61,  59,  58,  59,  59,  59,  56,  54,  52,  49,  47,  45,  44,  42,  41,  39,  38,  36,  34,  32,  31,  29,  28,  28,  25,  25,  23,  23,  22,  21,
+  /*   1.0 */  19,  20,  19,  19,  18,  17,  17,  16,  15,  15,  15,  14,  14,  14,  15,  15,  15,  16,  16,  16,  16,  17,  17,  17,  16,  16,  15,  15,  14,  13,  12,  11,  11,  10,   8,   7,   6,   5,   3,   1,  -0,  -2,  -4,  -5,  -7,  -8,  -9, -11, -12, -13, -15, -16, -17, -18, -19, -21, -22, -23, -24, -24, -25, -25, -25, -25, -25, -25, -24, -24, -23, -22, -21, -21, -20, -19, -19, -18, -17, -17, -16, -15, -14, -13, -13, -12, -11, -10,  -9,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   1,   2,   3,   6,   8,  10,  12,  18,  28,  24,  19,  20,  22,  21,  20,  17,  14,  10,   6,   2,   1,  -1,  -6,  -8,  -9, -11, -14, -17, -20, -23, -25, -26, -28, -28, -27, -26, -27, -28, -27, -26, -26, -28, -27, -25, -22, -20, -18, -15, -13, -11,  -8,  -6,  -4,  -1,   1,   4,   5,   6,   7,   8,   9,  10,  10,  11,  12,  13,  13,  12,  12,  15,  16,  17,  17,  17,  18,  19,  19,  20,  20,  19,  19,  18,  18,  18,  18,  17,  17,  17,  16,  16,  16,  16,  15,  16,  14,  13,  11,  11,   9,   7,   4,  -0,  -3,  -6, -10, -13, -15, -18, -19, -19, -19, -18, -16, -14, -13, -11, -12, -13, -14, -14, -16, -12, -16, -14, -19, -24, -26, -29, -31, -33, -36, -42, -44, -47, -50, -51, -49, -50, -50, -51, -52, -53, -54, -56, -58, -61, -64, -66, -68, -71, -73, -76, -78, -81, -84, -88, -91, -94, -96, -96, -97,-100,-102,-103,-103,-103,-103,-102,-100, -96, -95, -91, -86, -80, -74, -68, -61, -58, -52, -47, -40, -35, -32, -26, -19, -12,  -7,  -3,   1,   4,   9,  13,  17,  21,  25,  29,  33,  37,  41,  45,  50,  55,  58,  58,  58,  56,  56,  64,  65,  63,  67,  68,  58,  65,  71,  72,  73,  74,  74,  74,  73,  71,  71,  71,  71,  71,  71,  71,  71,  70,  69,  68,  67,  66,  66,  62,  62,  59,  58,  57,  57,  57,  57,  55,  53,  50,  48,  46,  45,  43,  42,  40,  39,  37,  35,  33,  31,  31,  28,  29,  26,  26,  24,  23,  21,  20,  19,
+  /*   2.0 */  19,  19,  19,  18,  18,  17,  16,  15,  15,  14,  14,  14,  14,  14,  14,  15,  15,  16,  15,  16,  17,  17,  18,  18,  16,  15,  14,  14,  14,  13,  12,  11,  10,   9,   7,   6,   5,   4,   2,   0,  -1,  -3,  -4,  -6,  -8,  -9, -11, -12, -13, -14, -16, -17, -18, -20, -21, -22, -23, -24, -25, -26, -26, -27, -27, -27, -26, -26, -25, -25, -24, -23, -23, -22, -21, -20, -19, -18, -18, -17, -16, -15, -14, -13, -12, -10, -10,  -9,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   0,   1,   3,   5,   7,   9,  11,  11,  13,  20,  26,  24,  20,  20,  20,  18,  14,  11,   8,   4,  -0,  -1,  -4,  -6,  -9, -10, -12, -16, -19, -22, -24, -26, -28, -29, -29, -29, -28, -29, -29, -28, -30, -32, -29, -27, -24, -22, -20, -17, -15, -13, -10,  -8,  -5,  -2,   0,   3,   5,   7,   7,   8,   9,  10,  10,  11,  11,  12,  12,  12,  13,  13,  14,  14,  15,  16,  18,  20,  20,  20,  19,  18,  18,  18,  19,  19,  18,  17,  17,  17,  17,  16,  16,  16,  15,  15,  16,  14,  13,  13,  12,   9,   7,   4,   0,  -1,  -3,  -7, -10, -14, -16, -18, -16, -16, -15, -14, -13, -13, -11, -11, -13, -14, -14, -16, -15, -17, -16, -20, -23, -25, -28, -30, -30, -33, -36, -40, -46, -50, -51, -50, -50, -51, -52, -53, -54, -55, -56, -58, -61, -63, -66, -68, -71, -74, -76, -79, -81, -85, -89, -92, -95, -97, -97, -99,-100,-102,-104,-104,-104,-104,-103,-102, -99, -95, -90, -85, -80, -73, -66, -61, -56, -51, -47, -43, -39, -32, -27, -21, -10,  -7,  -4,  -0,   4,   8,  12,  15,  20,  23,  26,  30,  34,  38,  41,  45,  53,  56,  58,  57,  54,  54,  59,  59,  60,  64,  70,  62,  56,  68,  69,  72,  74,  74,  74,  73,  72,  71,  70,  70,  70,  69,  70,  69,  68,  67,  66,  66,  65,  64,  62,  60,  57,  56,  56,  56,  56,  55,  54,  52,  50,  47,  46,  44,  42,  40,  39,  38,  36,  34,  32,  31,  30,  27,  28,  26,  25,  23,  21,  21,  20,  19,
+  /*   3.0 */  19,  18,  18,  17,  17,  16,  16,  15,  14,  14,  14,  14,  14,  14,  14,  15,  15,  16,  16,  17,  17,  18,  17,  17,  16,  15,  14,  14,  12,  11,  10,  10,   9,   8,   7,   5,   4,   3,   1,  -0,  -2,  -3,  -5,  -7,  -9, -10, -11, -13, -14, -16, -17, -18, -20, -21, -22, -23, -25, -25, -26, -27, -28, -28, -28, -28, -28, -27, -26, -26, -25, -24, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -12, -11, -10,  -9,  -8,  -7,  -5,  -4,  -3,  -2,  -1,   0,   1,   2,   4,   5,   7,  10,  12,  13,  11,  15,  24,  27,  18,  18,  16,  12,   9,   6,   3,   1,  -3,  -6,  -7,  -6, -10, -13, -14, -17, -20, -23, -26, -28, -29, -30, -30, -30, -31, -31, -29, -29, -31, -31, -29, -27, -25, -23, -21, -18, -15, -12, -10,  -7,  -4,  -2,   1,   4,   5,   6,   8,   8,   9,  10,  11,  11,  12,  13,  13,  15,  15,  15,  16,  17,  18,  18,  19,  20,  21,  20,  21,  20,  20,  20,  19,  18,  18,  18,  17,  17,  17,  16,  15,  14,  16,  17,  17,  16,  15,  15,  13,  11,   8,   6,   3,   1,  -0,  -3,  -7, -10, -13, -14, -13, -12, -12, -11, -12, -12, -11, -11, -13, -14, -13, -13, -15, -17, -18, -20, -21, -24, -27, -29, -30, -31, -35, -37, -41, -47, -50, -50, -52, -51, -53, -53, -54, -56, -57, -59, -61, -63, -66, -68, -71, -73, -76, -79, -82, -86, -90, -93, -95, -98, -96, -99,-101,-103,-104,-103,-104,-104,-104,-102, -99, -95, -91, -85, -80, -74, -67, -60, -55, -51, -49, -44, -37, -31, -29, -19, -12,  -9,  -5,  -1,   2,   5,   9,  13,  18,  21,  24,  28,  31,  35,  40,  45,  50,  54,  57,  55,  55,  57,  59,  62,  65,  68,  70,  67,  56,  62,  67,  73,  73,  74,  73,  72,  71,  70,  69,  69,  69,  68,  68,  68,  67,  66,  65,  64,  64,  63,  61,  57,  56,  54,  54,  55,  55,  54,  53,  50,  49,  47,  46,  43,  41,  40,  38,  36,  34,  32,  30,  30,  29,  26,  28,  25,  24,  22,  21,  20,  19,  19,
+  /*   4.0 */  17,  17,  16,  16,  17,  16,  15,  14,  14,  14,  13,  13,  14,  13,  14,  14,  15,  16,  17,  16,  17,  17,  17,  16,  15,  15,  14,  13,  12,  11,  10,   9,   7,   6,   5,   4,   3,   2,   0,  -1,  -3,  -4,  -6,  -8, -10, -12, -13, -15, -16, -17, -19, -20, -21, -22, -23, -25, -26, -27, -28, -28, -29, -29, -29, -29, -29, -29, -28, -27, -27, -26, -25, -24, -23, -21, -20, -19, -18, -17, -16, -14, -13, -12, -11, -10,  -9,  -8,  -7,  -5,  -4,  -3,  -2,  -0,   1,   3,   4,   5,   7,   9,  10,  13,  14,  13,  10,  17,  27,  18,  19,  10,   6,   4,   2,  -1,  -3,  -6,  -7,  -8,  -9, -12, -14, -15, -18, -22, -24, -27, -31, -33, -33, -32, -33, -34, -32, -29, -30, -31, -32, -30, -28, -26, -23, -21, -18, -15, -13, -10,  -7,  -4,  -1,   2,   4,   5,   6,   8,   9,  10,  10,  12,  12,  13,  14,  15,  16,  16,  17,  17,  18,  19,  19,  20,  21,  22,  22,  24,  25,  24,  23,  22,  21,  20,  20,  19,  18,  17,  16,  15,  17,  19,  21,  19,  18,  20,  16,  15,  14,  12,  10,   8,   5,   3,  -3,  -6,  -8,  -9, -10, -11, -11, -11, -11, -11, -11, -11, -12, -13, -13, -12, -11, -14, -16, -17, -16, -18, -22, -26, -30, -30, -31, -34, -37, -39, -43, -47, -49, -53, -54, -52, -53, -54, -55, -57, -59, -61, -63, -65, -67, -70, -73, -77, -80, -83, -87, -90, -93, -96, -98, -96,-100,-101,-103,-104,-104,-106,-106,-105,-103, -99, -95, -90, -86, -80, -73, -67, -60, -55, -51, -51, -44, -43, -33, -22, -20, -15, -11,  -7,  -2,   1,   3,   6,  10,  15,  19,  22,  25,  29,  33,  37,  42,  47,  52,  56,  55,  57,  59,  61,  63,  66,  68,  69,  70,  62,  65,  66,  71,  72,  72,  72,  71,  70,  69,  68,  67,  67,  67,  67,  67,  66,  65,  64,  63,  62,  62,  59,  57,  55,  53,  53,  54,  54,  52,  53,  49,  48,  47,  45,  41,  41,  38,  36,  34,  33,  31,  30,  28,  28,  25,  26,  24,  23,  21,  19,  19,  18,  17,
+  /*   5.0 */  16,  16,  16,  16,  16,  15,  13,  13,  13,  13,  12,  12,  13,  13,  14,  14,  15,  16,  16,  17,  16,  17,  16,  15,  15,  14,  13,  12,  11,  10,   9,   8,   6,   5,   4,   3,   1,  -0,  -1,  -3,  -4,  -6,  -8, -10, -12, -13, -15, -16, -17, -19, -20, -21, -23, -24, -25, -26, -27, -28, -29, -30, -30, -30, -31, -31, -31, -30, -29, -29, -28, -27, -26, -24, -23, -22, -21, -19, -18, -17, -15, -14, -13, -11, -10,  -9,  -8,  -7,  -6,  -5,  -4,  -3,  -1,   0,   2,   4,   6,   6,   8,   9,  10,  12,  13,  14,  12,  16,  27,  23,  22,  13,   3,  -0,  -2,  -5,  -6,  -5,  -8,  -9, -10, -15, -13, -14, -19, -24, -25, -27, -33, -34, -33, -34, -34, -34, -36, -35, -35, -34, -33, -31, -29, -26, -24, -21, -18, -16, -13, -10,  -7,  -4,  -1,   2,   4,   6,   7,   8,   9,  10,  11,  12,  13,  14,  15,  17,  17,  17,  17,  18,  19,  20,  20,  21,  23,  23,  27,  30,  30,  29,  27,  26,  24,  25,  24,  22,  20,  20,  17,  16,  18,  21,  19,  19,  20,  21,  20,  18,  16,  14,  12,   9,   6,   4,  -1,  -5,  -8,  -8,  -7,  -9,  -9, -10, -11, -12, -11, -11, -11, -12, -13, -13, -13, -13, -15, -14, -15, -17, -21, -24, -29, -30, -31, -34, -36, -39, -41, -46, -49, -53, -54, -54, -53, -54, -55, -56, -57, -60, -62, -64, -66, -70, -74, -78, -81, -84, -88, -91, -94, -96, -97, -96,-100,-101,-102,-103,-105,-107,-106,-105,-103, -99, -95, -90, -86, -80, -73, -67, -60, -54, -52, -50, -49, -42, -29, -26, -21, -17, -13,  -8,  -3,  -1,   0,   3,   8,  12,  17,  20,  23,  27,  31,  34,  39,  44,  49,  54,  57,  59,  62,  62,  64,  66,  67,  64,  65,  53,  56,  68,  70,  69,  70,  71,  69,  68,  68,  67,  67,  66,  66,  65,  66,  65,  64,  63,  62,  61,  61,  59,  55,  54,  53,  52,  54,  52,  51,  51,  49,  47,  45,  43,  40,  40,  36,  34,  33,  30,  30,  29,  28,  27,  25,  24,  23,  22,  21,  18,  18,  17,  16,
+  /*   6.0 */  16,  16,  16,  16,  15,  13,  12,  11,  12,  12,  12,  12,  13,  13,  14,  14,  15,  15,  16,  17,  16,  16,  15,  14,  13,  13,  12,  11,  10,   8,   7,   6,   5,   4,   3,   1,   0,  -1,  -3,  -5,  -6,  -8, -10, -11, -13, -15, -16, -18, -19, -20, -22, -23, -24, -25, -27, -28, -29, -30, -31, -31, -32, -32, -32, -32, -32, -31, -31, -30, -29, -28, -26, -25, -24, -23, -21, -20, -18, -17, -15, -14, -12, -11, -10,  -9,  -8,  -6,  -5,  -4,  -3,  -2,  -1,   1,   3,   4,   6,   8,   9,  10,  13,  13,  14,  14,  12,  19,  26,  20,  13,  20,   6,  -3,  -5,  -7, -10,  -8,  -6,  -7, -13, -17, -16, -19, -23, -26, -27, -28, -32, -32, -32, -33, -33, -36, -38, -38, -38, -36, -34, -32, -30, -27, -24, -22, -19, -16, -13, -10,  -7,  -4,  -1,   2,   4,   5,   7,   8,   9,  10,  11,  12,  13,  15,  16,  17,  18,  18,  18,  19,  20,  21,  22,  23,  25,  28,  30,  31,  31,  29,  29,  27,  27,  28,  27,  27,  26,  25,  21,  19,  19,  20,  19,  20,  21,  22,  23,  20,  18,  15,  12,  10,   8,   5,   1,  -3,  -6,  -6,  -6,  -7,  -8,  -9, -11, -11, -10, -10, -11, -12, -13, -13, -13, -13, -13, -13, -13, -14, -18, -23, -26, -29, -30, -32, -34, -37, -40, -42, -49, -52, -53, -55, -54, -54, -54, -55, -57, -58, -60, -62, -66, -70, -74, -78, -82, -85, -88, -91, -94, -96, -97, -97,-100,-101,-102,-102,-104,-105,-100, -98,-100, -98, -95, -90, -85, -79, -73, -67, -60, -55, -55, -54, -52, -40, -34, -30, -23, -19, -15, -10,  -7,  -5,  -3,   0,   6,  10,  14,  17,  21,  24,  28,  31,  35,  42,  47,  53,  53,  56,  60,  67,  65,  66,  67,  70,  64,  45,  60,  68,  68,  67,  67,  69,  66,  66,  67,  66,  66,  65,  64,  64,  64,  64,  63,  63,  61,  60,  59,  58,  57,  53,  53,  52,  52,  50,  49,  50,  48,  45,  43,  41,  38,  36,  35,  32,  31,  29,  29,  28,  28,  25,  27,  24,  23,  21,  21,  18,  18,  16,  16,
+  /*   7.0 */  16,  15,  15,  15,  14,  11,  11,  11,  11,  11,  11,  12,  12,  13,  13,  14,  14,  14,  15,  15,  15,  15,  14,  13,  12,  11,  10,   9,   8,   7,   6,   5,   4,   3,   1,  -0,  -1,  -3,  -5,  -6,  -8, -10, -11, -13, -15, -16, -18, -20, -21, -23, -24, -25, -27, -28, -29, -30, -31, -32, -32, -33, -33, -34, -33, -34, -33, -33, -32, -31, -30, -29, -27, -26, -25, -23, -22, -20, -18, -16, -15, -13, -12, -10,  -9,  -8,  -7,  -6,  -5,  -3,  -2,  -1,   0,   1,   3,   5,   6,   8,  11,  11,  12,  12,  12,  12,  14,  17,  22,  14,   4,  11,   3,  -5,  -7,  -8, -10, -12, -10, -12, -16, -21, -24, -26, -27, -29, -30, -31, -32, -33, -33, -34, -39, -40, -40, -40, -39, -38, -35, -32, -30, -28, -25, -22, -19, -16, -13, -10,  -7,  -4,  -1,   1,   3,   4,   6,   7,   9,  10,  12,  13,  14,  15,  17,  17,  18,  19,  19,  20,  21,  22,  23,  27,  31,  31,  31,  32,  31,  30,  30,  28,  28,  28,  28,  27,  26,  27,  26,  25,  24,  23,  22,  22,  22,  21,  20,  20,  19,  17,  15,  12,   8,   6,   3,  -0,  -2,  -3,  -3,  -5,  -6,  -9,  -9,  -8,  -8, -10, -11, -11, -12, -13, -12, -12, -11, -11, -11, -11, -14, -19, -23, -25, -26, -28, -31, -33, -36, -39, -44, -51, -53, -54, -56, -54, -53, -54, -56, -57, -59, -62, -66, -70, -74, -78, -82, -85, -89, -91, -94, -96, -97, -97,-100,-100,-101,-101,-103,-103, -97, -93, -95, -96, -94, -90, -85, -79, -74, -67, -60, -56, -58, -59, -50, -42, -35, -31, -25, -21, -17, -14, -12,  -9,  -5,  -2,   3,   7,  11,  15,  18,  22,  26,  31,  33,  36,  44,  48,  52,  53,  55,  59,  67,  66,  69,  71,  62,  51,  62,  67,  67,  66,  66,  67,  68,  63,  63,  61,  64,  64,  63,  63,  63,  63,  62,  61,  60,  59,  58,  58,  53,  52,  55,  52,  50,  50,  48,  46,  49,  43,  41,  39,  37,  35,  33,  32,  30,  28,  26,  27,  26,  26,  26,  23,  22,  21,  19,  18,  17,  16,  16,
+  /*   8.0 */  15,  14,  13,  13,  12,  10,  10,  10,  11,  11,  11,  12,  12,  13,  13,  13,  15,  14,  14,  13,  14,  13,  12,  11,  10,   9,   8,   7,   6,   6,   5,   4,   2,   1,  -0,  -1,  -3,  -4,  -6,  -8,  -9, -11, -13, -14, -16, -18, -19, -22, -23, -25, -26, -27, -29, -30, -31, -32, -33, -34, -35, -35, -35, -35, -35, -35, -35, -34, -33, -32, -31, -29, -28, -27, -25, -23, -22, -20, -18, -16, -15, -13, -12, -10,  -9,  -8,  -6,  -5,  -4,  -3,  -2,  -0,   1,   2,   4,   5,   7,   9,  11,  12,  14,  15,  15,  15,  15,  12,   9,   4,   2,   4,   0,  -5,  -9, -10, -11, -13, -14, -18, -21, -25, -27, -29, -30, -31, -33, -35, -37, -38, -37, -39, -43, -43, -42, -42, -40, -37, -35, -32, -30, -28, -25, -21, -18, -15, -12, -10,  -7,  -5,  -3,  -2,  -0,   2,   4,   6,   7,   9,  10,  12,  13,  15,  17,  19,  19,  19,  20,  21,  23,  24,  31,  33,  30,  32,  34,  35,  34,  31,  30,  29,  27,  28,  27,  26,  26,  26,  26,  26,  25,  25,  24,  24,  22,  21,  20,  19,  18,  16,  14,  12,   9,   6,   4,   2,  -1,  -1,  -2,  -3,  -5,  -5,  -6,  -7,  -7,  -9, -10, -10, -11, -12, -12, -10,  -8,  -8,  -9, -11, -12, -16, -19, -21, -22, -25, -28, -29, -31, -34, -39, -47, -52, -53, -54, -55, -52, -53, -54, -55, -58, -62, -66, -70, -74, -78, -81, -85, -88, -91, -93, -95, -96, -97, -99,-100,-100, -97, -99,-100, -96, -94, -95, -95, -92, -88, -84, -78, -73, -67, -62, -58, -58, -60, -49, -43, -36, -32, -27, -23, -19, -17, -14, -11,  -7,  -3,  -0,   4,   8,  13,  16,  20,  25,  29,  33,  36,  38,  46,  50,  52,  54,  56,  60,  67,  71,  71,  65,  55,  61,  65,  64,  64,  64,  64,  64,  63,  63,  65,  58,  63,  63,  62,  61,  62,  59,  60,  60,  59,  59,  58,  52,  50,  52,  49,  48,  49,  46,  44,  42,  41,  39,  37,  35,  33,  31,  30,  29,  28,  28,  27,  25,  26,  23,  22,  22,  20,  19,  18,  16,  16,  15,
+  /*   9.0 */  14,  13,  13,  12,  11,  10,  10,  10,  11,  11,  11,  12,  12,  13,  13,  13,  13,  14,  13,  13,  12,  12,  11,  10,   9,   8,   7,   6,   5,   4,   3,   2,   1,  -0,  -1,  -3,  -4,  -6,  -7,  -9, -11, -12, -14, -15, -17, -19, -21, -23, -25, -26, -28, -29, -31, -32, -33, -34, -35, -36, -37, -37, -37, -37, -37, -37, -36, -35, -34, -33, -32, -30, -29, -27, -25, -23, -22, -20, -18, -16, -15, -13, -12, -10,  -9,  -8,  -6,  -5,  -3,  -2,  -1,   0,   1,   3,   4,   6,   6,   7,  10,  15,  13,  11,  12,  14,  10,   1,   2,  -2,  -2,  -2, -11,  -5,  -8, -12, -13, -15, -18, -23, -29, -33, -35, -34, -33, -36, -40, -40, -42, -44, -42, -44, -44, -43, -42, -41, -39, -37, -35, -33, -30, -26, -23, -20, -16, -14, -12, -10,  -8,  -6,  -4,  -3,  -1,   1,   3,   5,   7,   8,  10,  12,  13,  15,  16,  19,  20,  19,  21,  23,  25,  29,  32,  32,  30,  33,  34,  35,  34,  31,  29,  28,  27,  27,  26,  25,  24,  24,  25,  25,  24,  24,  25,  25,  23,  23,  21,  19,  19,  16,  14,  12,   9,   6,   4,   1,  -1,  -1,  -1,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -8,  -9, -10,  -8,  -4,  -7,  -7,  -7,  -8, -12, -12, -14, -17, -18, -22, -25, -27, -28, -30, -34, -42, -49, -51, -52, -53, -51, -51, -53, -55, -58, -62, -66, -70, -74, -77, -80, -84, -87, -90, -92, -94, -95, -96, -98, -99, -96, -96, -97, -97, -96, -95, -98, -95, -92, -88, -84, -78, -73, -67, -62, -61, -59, -61, -51, -44, -39, -34, -29, -25, -22, -20, -17, -13,  -9,  -6,  -3,   2,   6,  10,  13,  18,  23,  26,  31,  35,  38,  42,  49,  49,  54,  55,  53,  60,  64,  68,  68,  51,  60,  62,  62,  61,  61,  62,  61,  62,  62,  62,  59,  61,  60,  61,  60,  57,  55,  56,  56,  54,  54,  51,  56,  47,  51,  46,  43,  43,  43,  42,  40,  38,  35,  35,  34,  32,  30,  29,  30,  29,  28,  25,  28,  26,  22,  22,  20,  19,  18,  18,  16,  15,  14,
+  /*  10.0 */  13,  12,  12,  11,  10,  10,  10,  10,  11,  12,  12,  12,  12,  13,  13,  15,  13,  13,  12,  11,  10,  10,   9,   8,   7,   6,   5,   5,   3,   2,   1,   0,  -1,  -2,  -3,  -4,  -5,  -7,  -8, -10, -11, -13, -15, -17, -19, -21, -23, -24, -26, -28, -29, -31, -32, -34, -35, -36, -37, -38, -38, -39, -39, -39, -39, -39, -38, -37, -36, -34, -33, -31, -29, -27, -26, -24, -22, -20, -18, -16, -15, -13, -12, -10,  -9,  -7,  -6,  -5,  -3,  -2,  -1,   0,   1,   3,   4,   4,   6,  10,  14,   9,   6,   3,   1,   1,  -2,  -4,  -3,  -5,  -4,  -1, -13, -14, -11, -13, -16, -17, -23, -28, -32, -40, -45, -43, -42, -41, -42, -44, -46, -45, -45, -45, -45, -44, -43, -41, -39, -37, -35, -32, -29, -26, -22, -19, -16, -15, -13, -11,  -9,  -7,  -5,  -3,  -1,   1,   3,   5,   6,   8,  10,  11,  13,  14,  16,  16,  17,  19,  21,  25,  29,  30,  31,  33,  32,  33,  33,  32,  32,  30,  28,  28,  27,  26,  25,  24,  23,  22,  24,  24,  23,  23,  24,  25,  24,  24,  22,  19,  18,  17,  15,  13,  10,   8,   6,   4,   2,   0,  -0,  -0,  -0,  -1,  -2,  -3,  -5,  -6,  -5,  -6,  -7,  -8,  -4,  -4,  -5,  -6,  -7,  -8, -10, -12, -13, -15, -18, -20, -23, -25, -26, -28, -32, -37, -44, -48, -50, -51, -50, -50, -51, -54, -58, -62, -66, -70, -72, -76, -79, -83, -85, -88, -91, -93, -94, -95, -97, -97, -95, -95, -95, -95, -96, -98, -97, -95, -91, -88, -84, -79, -74, -68, -63, -63, -61, -64, -53, -46, -42, -36, -32, -28, -25, -23, -19, -16, -12,  -9,  -5,  -1,   3,   8,  11,  15,  19,  24,  29,  32,  37,  40,  45,  50,  52,  56,  54,  62,  65,  65,  64,  50,  59,  60,  59,  59,  58,  58,  59,  60,  60,  60,  60,  55,  61,  56,  54,  52,  53,  55,  53,  51,  51,  46,  45,  44,  44,  42,  41,  41,  40,  39,  38,  36,  35,  36,  33,  32,  30,  28,  28,  26,  25,  26,  25,  23,  22,  21,  20,  19,  18,  16,  15,  14,  13,
+  /*  11.0 */  12,  11,  11,  11,  11,  11,  11,  10,  11,  10,  12,  12,  12,  13,  13,  13,  13,  12,  11,  10,   9,   8,   8,   6,   6,   5,   4,   3,   2,   0,  -1,  -1,  -2,  -3,  -4,  -5,  -6,  -8,  -9, -11, -12, -15, -16, -18, -20, -22, -24, -26, -28, -29, -31, -32, -34, -35, -37, -38, -39, -40, -40, -41, -41, -41, -41, -40, -39, -38, -37, -35, -34, -32, -30, -28, -26, -24, -22, -20, -18, -16, -14, -13, -11, -10,  -9,  -7,  -6,  -5,  -3,  -2,  -0,   1,   2,   3,   1,  -1,   6,   8,   9,   6,   3,   1,  -1,  -2,  -4,  -6,  -9,  -9,   0,  -5, -13, -17, -17, -17, -22, -23, -26, -30, -30, -33, -39, -42, -46, -45, -45, -47, -47, -46, -45, -45, -45, -44, -43, -41, -39, -37, -35, -31, -27, -25, -22, -20, -18, -17, -15, -13, -11,  -8,  -6,  -4,  -2,   0,   2,   4,   7,   9,  10,  12,  14,  15,  16,  16,  17,  19,  20,  26,  28,  29,  31,  32,  35,  34,  32,  32,  31,  29,  29,  29,  28,  26,  25,  24,  23,  23,  22,  23,  22,  21,  22,  22,  22,  22,  21,  19,  18,  16,  15,  13,  11,  10,   8,   6,   4,   3,   3,   2,   2,   0,  -1,  -2,  -3,  -3,  -2,  -3,  -5,  -5,  -4,  -5,  -5,  -3,  -6,  -7,  -9, -11, -12, -13, -17, -20, -21, -24, -25, -28, -28, -33, -40, -44, -47, -48, -48, -49, -52, -54, -58, -62, -65, -68, -71, -75, -78, -81, -84, -87, -90, -91, -92, -93, -95, -94, -92, -94, -94, -93, -93, -99, -96, -93, -90, -88, -84, -79, -74, -68, -64, -63, -61, -63, -53, -48, -44, -38, -34, -30, -28, -25, -22, -18, -15, -12,  -8,  -3,   1,   6,   9,  12,  16,  20,  25,  30,  35,  39,  42,  48,  52,  54,  55,  60,  62,  65,  55,  52,  57,  58,  57,  56,  56,  56,  56,  58,  58,  58,  59,  50,  51,  43,  38,  41,  46,  51,  50,  50,  47,  46,  44,  43,  42,  41,  40,  39,  37,  39,  36,  34,  34,  33,  32,  29,  29,  27,  27,  28,  26,  23,  25,  22,  21,  20,  19,  17,  16,  15,  14,  13,  12,
+  /*  12.0 */  11,  10,  11,  11,  11,  11,  10,  11,  11,  10,  11,  12,  12,  12,  12,  12,  11,  10,  10,   9,   8,   8,   6,   5,   5,   4,   3,   2,   0,  -1,  -2,  -2,  -3,  -4,  -5,  -6,  -8,  -9, -10, -12, -13, -15, -18, -19, -21, -23, -25, -27, -29, -31, -32, -34, -35, -37, -38, -39, -40, -41, -42, -42, -42, -42, -42, -41, -40, -39, -38, -36, -35, -33, -31, -29, -27, -25, -22, -20, -18, -16, -14, -12, -10,  -9,  -8,  -7,  -6,  -5,  -3,  -2,  -1,  -0,  -2,  -3,  -2,  -0,   6,   9,   7,   6,   3,   3,   0,  -2,  -4,  -6, -10, -16, -20, -18, -16, -22, -23, -25, -26, -30, -34, -36, -32, -38, -38, -43, -49, -49, -45, -48, -47, -46, -45, -45, -44, -43, -42, -41, -38, -35, -32, -29, -26, -24, -22, -20, -19, -17, -15, -13, -11,  -9,  -6,  -4,  -2,   1,   3,   6,   8,  10,  12,  14,  15,  15,  16,  18,  19,  20,  21,  27,  28,  29,  30,  30,  33,  33,  33,  32,  31,  29,  29,  29,  28,  27,  26,  25,  24,  24,  22,  22,  20,  20,  21,  21,  22,  21,  21,  19,  17,  16,  14,  13,  12,  11,   8,   7,   5,   5,   5,   5,   4,   3,   1,  -0,  -0,  -0,  -1,  -1,  -3,  -4,  -5,  -5,  -4,  -2,  -2,  -3,  -8,  -9, -10, -12, -15, -17, -19, -21, -23, -26, -28, -30, -34, -37, -41, -43, -45, -46, -51, -54, -57, -60, -63, -67, -70, -73, -76, -79, -82, -85, -88, -89, -90, -92, -93, -91, -90, -89, -91, -91, -93, -96, -95, -92, -89, -87, -83, -79, -74, -69, -64, -63, -62, -62, -54, -49, -46, -39, -36, -32, -29, -27, -24, -20, -17, -14, -10,  -5,   1,   4,   6,   9,  13,  18,  22,  27,  31,  36,  38,  43,  49,  51,  52,  55,  58,  60,  47,  52,  55,  55,  55,  54,  54,  54,  54,  55,  56,  56,  56,  54,  53,  48,  46,  48,  38,  35,  42,  47,  47,  46,  45,  43,  41,  40,  39,  38,  36,  34,  33,  33,  32,  30,  31,  28,  27,  30,  26,  26,  23,  23,  22,  20,  19,  18,  17,  16,  14,  14,  13,  12,  11,
+  /*  13.0 */  10,  10,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  12,  12,  12,  11,  11,  10,   8,   8,   7,   6,   5,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -4,  -4,  -5,  -6,  -7,  -9, -10, -11, -13, -14, -16, -18, -20, -22, -24, -26, -28, -30, -32, -34, -35, -37, -38, -39, -41, -42, -43, -43, -43, -43, -43, -43, -42, -41, -40, -39, -37, -35, -33, -31, -30, -28, -25, -23, -20, -18, -16, -14, -12, -11,  -9,  -8,  -7,  -6,  -5,  -4,  -4,  -6,  -5,  -3,  -1,  -0,   4,   7,   7,   6,   5,   2,   0,  -2,  -4,  -6,  -8, -11, -17, -22, -24, -26, -26, -30, -35, -38, -40, -40, -37, -35, -38, -42, -39, -48, -48, -46, -47, -46, -46, -45, -44, -44, -43, -41, -40, -37, -34, -31, -27, -25, -24, -22, -20, -18, -17, -15, -13, -11,  -9,  -6,  -3,  -1,   2,   4,   7,   9,  11,  13,  14,  16,  16,  17,  19,  20,  21,  23,  29,  30,  31,  31,  31,  31,  31,  32,  33,  31,  29,  28,  28,  28,  27,  26,  26,  25,  24,  23,  22,  21,  20,  19,  20,  21,  21,  20,  19,  17,  15,  14,  13,  12,  11,  10,   8,   7,   6,   7,   7,   8,   6,   4,   2,   2,   2,   1,  -1,  -2,  -2,  -4,  -4,  -3,  -3,  -1,  -2,  -5,  -8,  -9, -11, -11, -15, -18, -19, -21, -23, -26, -28, -31, -34, -37, -40, -42, -44, -47, -52, -57, -59, -62, -65, -68, -71, -74, -77, -80, -83, -86, -87, -88, -89, -89, -91, -88, -86, -87, -89, -92, -93, -92, -90, -87, -86, -82, -78, -73, -69, -65, -62, -62, -61, -57, -50, -47, -41, -38, -34, -32, -29, -25, -22, -20, -16, -12,  -7,  -2,   1,   3,   6,  11,  15,  19,  24,  28,  32,  36,  38,  38,  47,  50,  51,  53,  46,  45,  51,  53,  53,  52,  52,  52,  52,  52,  54,  54,  55,  55,  54,  53,  52,  53,  54,  53,  46,  32,  40,  47,  46,  44,  42,  41,  39,  38,  36,  34,  35,  32,  31,  30,  30,  29,  28,  26,  26,  24,  22,  21,  20,  20,  18,  17,  16,  15,  14,  14,  13,  12,  12,  10,
+  /*  14.0 */   9,  10,  10,  10,   9,   9,   9,   9,   9,   9,  10,  11,  11,  11,  11,  10,  10,   9,   8,   7,   6,   5,   4,   3,   2,   1,  -0,  -2,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -8, -10, -11, -12, -14, -15, -17, -19, -21, -23, -25, -27, -29, -32, -33, -35, -36, -38, -39, -40, -42, -43, -44, -44, -44, -44, -44, -44, -43, -42, -41, -39, -37, -36, -34, -32, -30, -28, -25, -23, -21, -18, -16, -14, -13, -11,  -9,  -8,  -7,  -6,  -6,  -9,  -7,  -4,  -3,   0,   3,   4,   5,   6,   6,   3,   2,   1,  -1,  -3,  -6,  -8, -12, -15, -18, -21, -23, -25, -29, -33, -35, -36, -37, -37, -37, -37, -38, -41, -39, -47, -53, -49, -48, -48, -47, -46, -44, -43, -42, -41, -38, -35, -32, -29, -26, -25, -23, -21, -20, -18, -16, -14, -11,  -9,  -7,  -5,  -2,   0,   3,   6,   8,  10,  13,  15,  17,  18,  18,  19,  20,  21,  24,  26,  29,  30,  30,  31,  32,  30,  31,  31,  31,  30,  29,  29,  28,  29,  27,  25,  25,  24,  23,  23,  22,  21,  20,  19,  19,  20,  20,  20,  19,  17,  15,  14,  14,  13,  11,  10,   9,   8,   8,  10,   9,   9,   7,   5,   4,   4,   3,   2,   1,  -0,  -1,  -2,  -2,  -3,  -5,  -5,  -2,  -4,  -6,  -8, -10,  -8, -10, -14, -17, -19, -22, -24, -26, -29, -31, -34, -36, -39, -41, -45, -51, -54, -58, -60, -63, -66, -69, -72, -75, -78, -81, -83, -84, -86, -87, -86, -88, -86, -85, -87, -89, -90, -92, -91, -88, -86, -86, -80, -77, -73, -69, -65, -62, -62, -60, -59, -51, -46, -42, -38, -35, -33, -30, -27, -24, -21, -18, -14,  -9,  -4,  -2,  -0,   3,   8,  12,  17,  21,  26,  30,  34,  34,  36,  44,  48,  50,  52,  44,  46,  50,  50,  50,  50,  50,  50,  50,  51,  52,  52,  53,  53,  53,  53,  53,  53,  54,  55,  55,  43,  32,  43,  44,  43,  42,  40,  38,  37,  34,  36,  34,  31,  30,  29,  30,  27,  26,  27,  24,  24,  24,  22,  19,  18,  17,  16,  14,  14,  14,  14,  12,  11,   9,   9,
+  /*  15.0 */   9,   9,   8,   9,   8,   8,   8,   8,   8,   9,   8,  10,  10,  11,  10,  10,   9,   8,   7,   6,   5,   4,   3,   3,   2,   1,  -1,  -2,  -3,  -4,  -4,  -5,  -6,  -8,  -9, -10, -12, -13, -14, -15, -17, -18, -20, -22, -24, -26, -28, -31, -33, -35, -36, -38, -39, -40, -41, -42, -44, -44, -45, -45, -45, -45, -44, -44, -42, -41, -39, -38, -36, -34, -32, -31, -29, -26, -23, -21, -19, -17, -15, -13, -11, -10,  -9,  -9,  -9, -10,  -5,  -5,   1,   4,   2,   2,   2,   4,   4,   3,   1,  -1,  -1,  -3,  -6,  -8, -10, -14, -15, -18, -21, -21, -24, -28, -30, -32, -35, -37, -38, -40, -39, -40, -42, -40, -55, -56, -49, -50, -49, -49, -47, -44, -43, -41, -38, -36, -33, -31, -28, -26, -25, -23, -21, -19, -17, -15, -13, -10,  -8,  -5,  -3,  -0,   3,   5,   8,  10,  13,  15,  18,  20,  25,  25,  21,  22,  23,  25,  28,  30,  29,  31,  32,  33,  29,  30,  30,  30,  29,  28,  28,  28,  29,  28,  26,  24,  22,  22,  23,  22,  21,  21,  20,  19,  19,  20,  20,  19,  17,  15,  15,  14,  13,  12,  10,  10,  10,   9,  11,  11,  10,   9,   7,   7,   6,   5,   4,   3,   2,   0,   0,   0,  -1,  -3,  -3,   1,  -4,  -6,  -7,  -9,  -5,  -8, -12, -15, -16, -18, -21, -24, -27, -29, -32, -34, -37, -40, -45, -50, -54, -57, -58, -61, -64, -67, -70, -73, -76, -79, -81, -82, -84, -83, -84, -83, -84, -85, -87, -88, -87, -88, -89, -87, -84, -83, -79, -76, -72, -69, -64, -61, -60, -62, -56, -50, -47, -43, -39, -36, -34, -31, -29, -27, -24, -21, -17, -12,  -7,  -5,  -3,   2,   6,   9,  14,  18,  23,  27,  31,  32,  41,  43,  41,  42,  44,  42,  45,  47,  47,  48,  48,  48,  48,  49,  49,  50,  51,  51,  52,  52,  52,  52,  52,  54,  55,  55,  50,  37,  40,  43,  44,  42,  40,  38,  36,  35,  31,  30,  29,  29,  29,  28,  25,  26,  24,  23,  22,  19,  18,  19,  16,  15,  14,  13,  13,  12,  12,  11,  10,   9,   9,
+  /*  16.0 */   7,   7,   8,   8,   8,   8,   8,   8,   8,   9,  10,  10,  10,   9,  10,   9,   8,   8,   7,   6,   5,   4,   4,   4,   3,   1,  -0,  -2,  -3,  -4,  -5,  -6,  -7,  -8, -10, -11, -13, -14, -16, -17, -19, -21, -22, -24, -26, -27, -29, -32, -34, -35, -37, -39, -40, -41, -42, -43, -44, -45, -45, -46, -46, -45, -45, -44, -43, -42, -40, -38, -36, -34, -33, -31, -29, -26, -24, -21, -19, -17, -15, -15, -14, -12,  -8,  -3,  -3,  -8,  -6,  -2,  -2,  -3,  -2,  -1,  -3,  -2,  -0,  -1,  -2,  -2,  -4,  -5,  -7, -10, -13, -15, -17, -19, -23, -25, -27, -29, -31, -34, -37, -39, -41, -42, -42, -41, -41, -42, -61, -55, -49, -46, -46, -47, -46, -44, -42, -40, -38, -34, -32, -29, -27, -25, -24, -22, -20, -18, -16, -14, -11,  -8,  -5,  -3,  -1,   3,   5,   8,  10,  13,  15,  17,  19,  21,  23,  31,  25,  24,  25,  26,  27,  30,  30,  32,  33,  32,  28,  28,  29,  29,  28,  28,  28,  28,  29,  29,  28,  27,  24,  23,  24,  23,  21,  22,  21,  21,  21,  21,  21,  19,  17,  17,  15,  14,  13,  12,  11,  10,  11,  11,  11,  12,  11,  10,   9,   8,   7,   6,   5,   5,   3,   2,   2,   1,   0,   0,   1,  -1,  -3,  -4,  -5,  -6,  -5,  -9, -12, -15, -17, -19, -21, -23, -26, -29, -31, -33, -36, -40, -44, -47, -52, -56, -56, -59, -62, -65, -67, -70, -74, -75, -78, -80, -80, -80, -80, -80, -81, -83, -85, -85, -83, -81, -82, -84, -83, -81, -78, -75, -72, -68, -64, -61, -60, -61, -56, -51, -47, -44, -40, -37, -35, -32, -31, -30, -27, -23, -19, -14, -12,  -9,  -6,  -1,   4,   7,  13,  16,  20,  24,  29,  31,  41,  43,  38,  33,  41,  44,  45,  45,  45,  45,  46,  46,  46,  46,  47,  49,  49,  50,  51,  51,  51,  52,  52,  53,  54,  54,  53,  40,  36,  43,  42,  41,  41,  37,  35,  36,  31,  30,  29,  28,  28,  25,  24,  26,  23,  22,  20,  20,  18,  17,  16,  15,  13,  12,  12,  11,  11,  10,   9,   8,   7,
+  /*  17.0 */   7,   7,   6,   7,   7,   8,   8,   8,   9,   9,  10,  10,  10,   9,   9,   8,   8,   7,   6,   6,   6,   5,   5,   5,   4,   2,   0,  -1,  -3,  -4,  -5,  -7,  -8,  -9, -10, -12, -14, -15, -17, -19, -21, -22, -23, -25, -27, -29, -31, -33, -35, -36, -38, -39, -40, -42, -43, -44, -45, -45, -46, -46, -46, -46, -45, -44, -44, -42, -40, -39, -37, -35, -33, -31, -30, -27, -24, -22, -20, -20, -19, -14,  -8,  -5,  -3,  -2,  -6,  -9,  -7,  -5,  -5,  -6,  -5,  -4,  -5,  -9,  -9,  -8,  -6,  -6,  -7,  -8, -10, -12, -14, -17, -19, -21, -25, -29, -30, -33, -38, -41, -43, -44, -45, -45, -43, -42, -41, -56, -62, -53, -49, -49, -48, -47, -44, -42, -41, -39, -36, -34, -31, -28, -25, -24, -22, -21, -19, -17, -15, -13, -10,  -7,  -4,  -1,   2,   5,   8,  10,  13,  15,  16,  18,  21,  29,  25,  27,  25,  25,  26,  27,  27,  30,  32,  32,  34,  30,  27,  27,  28,  28,  28,  28,  28,  27,  28,  29,  28,  28,  27,  26,  25,  24,  22,  23,  22,  22,  22,  24,  23,  21,  20,  19,  17,  15,  14,  13,  11,  10,  11,  11,  12,  13,  12,  11,  10,  10,   8,   8,   7,   5,   4,   4,   3,   3,   2,   1,   0,  -1,  -2,  -3,  -4,  -4,  -4,  -8, -12, -16, -20, -22, -23, -24, -25, -28, -32, -34, -36, -39, -42, -44, -50, -55, -55, -56, -59, -62, -64, -69, -71, -72, -75, -77, -76, -77, -78, -77, -78, -79, -79, -80, -80, -77, -75, -78, -80, -80, -77, -73, -71, -67, -63, -61, -60, -60, -58, -51, -48, -44, -41, -38, -37, -33, -32, -30, -27, -25, -20, -17, -15, -11,  -8,  -5,   1,   4,   8,  12,  16,  21,  25,  28,  34,  43,  41,  33,  40,  43,  42,  42,  43,  43,  44,  44,  44,  44,  45,  47,  48,  49,  50,  50,  51,  51,  51,  52,  53,  52,  49,  38,  31,  40,  44,  40,  41,  37,  37,  32,  31,  30,  28,  27,  26,  24,  23,  24,  21,  20,  19,  18,  17,  16,  14,  13,  12,  11,  11,  10,   9,   9,   8,   7,   7,
+  /*  18.0 */   6,   6,   6,   7,   8,   9,   9,   8,   9,   9,   9,  10,   9,   9,   8,   8,   8,   7,   7,   7,   7,   7,   7,   6,   3,   1,  -1,  -2,  -3,  -5,  -6,  -7,  -8, -10, -11, -13, -15, -16, -18, -20, -22, -23, -25, -26, -28, -30, -32, -34, -36, -37, -39, -40, -41, -42, -43, -44, -45, -46, -46, -47, -47, -46, -46, -45, -44, -42, -41, -39, -37, -35, -33, -32, -30, -28, -25, -23, -23, -18, -14,  -9,  -7,  -6,  -4,  -6, -12, -11, -13, -11, -10,  -8,  -7,  -6,  -8, -11, -11, -12, -12, -13, -11, -12, -15, -16, -15, -15, -20, -23, -25, -28, -29, -34, -38, -41, -45, -42, -42, -45, -46, -43, -49, -62, -58, -51, -48, -47, -45, -44, -42, -41, -39, -38, -35, -33, -30, -27, -24, -23, -21, -19, -18, -16, -14, -12,  -9,  -6,  -3,  -0,   3,   6,   9,  12,  14,  16,  18,  20,  22,  24,  25,  25,  26,  27,  26,  26,  26,  28,  33,  32,  35,  31,  30,  29,  28,  28,  28,  27,  27,  27,  27,  27,  29,  29,  29,  28,  27,  26,  24,  23,  23,  23,  24,  27,  25,  23,  22,  20,  18,  16,  15,  15,  13,  12,  12,  11,  11,  12,  13,  12,  11,  11,   9,   8,   7,   6,   6,   5,   4,   4,   4,   3,   0,  -1,  -1,  -2,  -2,  -0,  -4,  -9, -14, -18, -22, -25, -27, -28, -29, -32, -34, -34, -35, -36, -40, -44, -48, -54, -53, -54, -56, -58, -62, -66, -66, -69, -72, -70, -71, -75, -74, -75, -75, -75, -75, -75, -75, -75, -72, -70, -72, -76, -74, -71, -69, -67, -63, -60, -59, -59, -55, -50, -48, -44, -42, -39, -37, -34, -32, -32, -30, -25, -21, -19, -16, -13,  -8,  -6,  -4,   1,   5,   9,  13,  18,  22,  25,  31,  39,  37,  31,  36,  38,  40,  40,  41,  41,  41,  42,  42,  43,  43,  45,  46,  47,  48,  49,  50,  50,  50,  52,  51,  50,  44,  37,  31,  39,  41,  43,  38,  36,  33,  32,  30,  28,  26,  25,  24,  22,  21,  21,  20,  19,  18,  18,  16,  14,  12,  15,  12,  11,  10,   9,   8,   7,   7,   6,   6,
+  /*  19.0 */   5,   5,   5,   5,   6,   7,   8,   9,   8,  10,   9,  10,   9,   9,   8,   8,   8,   8,   7,   8,   7,   7,   7,   6,  13,   8,  -2,  -2,  -3,  -5,  -7,  -8,  -9, -10, -12, -14, -16, -17, -19, -21, -22, -24, -25, -27, -29, -31, -33, -35, -36, -38, -39, -40, -42, -43, -44, -44, -46, -46, -47, -47, -47, -47, -46, -45, -44, -43, -41, -39, -37, -35, -34, -32, -30, -28, -28, -25, -19, -16, -13, -11,  -7,  -5,  -4,  -6, -13, -13, -14, -12, -11, -10,  -9,  -7,  -7, -12, -12, -14, -13, -14, -16, -16, -20, -22, -24, -26, -27, -27, -27, -28, -27, -29, -36, -44, -55, -62, -61, -55, -55, -61, -62, -57, -52, -48, -48, -47, -45, -43, -41, -40, -39, -37, -34, -32, -29, -25, -23, -21, -19, -17, -16, -14, -12, -10,  -8,  -5,  -2,   1,   4,   8,  11,  14,  15,  17,  18,  20,  22,  23,  24,  26,  27,  27,  26,  26,  26,  29,  33,  34,  35,  32,  31,  31,  30,  28,  28,  27,  26,  26,  26,  27,  28,  30,  31,  30,  30,  28,  26,  25,  24,  23,  25,  28,  26,  25,  23,  21,  19,  18,  18,  18,  17,  16,  13,  11,  11,  12,  13,  12,  12,  13,  11,   9,   8,   8,   7,   6,   5,   5,   5,   5,   2,   1,  -0,  -1,   1,  -0,  -5, -10, -15, -19, -23, -27, -29, -31, -32, -34, -36, -37, -36, -35, -37, -42, -43, -50, -50, -52, -54, -56, -58, -60, -63, -67, -65, -67, -69, -69, -70, -70, -71, -72, -71, -72, -72, -70, -68, -65, -67, -67, -70, -68, -67, -65, -63, -60, -60, -57, -51, -49, -48, -44, -41, -39, -38, -35, -33, -31, -29, -27, -24, -21, -18, -14, -10,  -7,  -4,   0,   4,   7,  10,  15,  19,  22,  24,  30,  33,  30,  33,  35,  37,  38,  39,  39,  40,  40,  40,  41,  42,  43,  45,  46,  47,  49,  49,  49,  49,  51,  50,  48,  42,  35,  33,  38,  38,  38,  37,  35,  33,  31,  29,  26,  25,  23,  22,  21,  20,  19,  17,  19,  15,  17,  14,  12,  11,  10,   9,   9,   7,   7,   7,   6,   6,   6,   5,
+  /*  20.0 */   4,   5,   4,   4,   4,   5,   6,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   7,   5,   6,  18,  12,  -2,  -3,  -4,  -5,  -7,  -8, -10, -11, -13, -15, -17, -18, -20, -22, -23, -24, -26, -28, -29, -31, -33, -35, -36, -38, -39, -41, -42, -43, -44, -45, -46, -47, -47, -48, -48, -47, -46, -46, -44, -43, -41, -40, -38, -36, -34, -32, -30, -29, -29, -21, -16, -14, -12, -10,  -7,  -6,  -6, -10, -15, -19, -17, -16, -13, -12, -11, -10,  -9, -13, -16, -15, -17, -17, -18, -19, -19, -21, -23, -25, -26, -27, -36, -37, -41, -45, -47, -51, -59, -62, -65, -63, -59, -57, -53, -50, -47, -46, -45, -46, -45, -43, -41, -40, -38, -36, -33, -30, -27, -24, -21, -18, -17, -15, -14, -12, -10,  -8,  -6,  -4,  -1,   2,   6,   9,  13,  15,  17,  18,  19,  20,  21,  23,  23,  25,  26,  25,  25,  26,  28,  31,  33,  34,  34,  34,  33,  32,  30,  29,  27,  27,  27,  27,  27,  27,  29,  30,  31,  31,  32,  30,  28,  27,  25,  24,  25,  27,  27,  25,  23,  21,  20,  20,  22,  23,  24,  20,  14,  12,  12,  12,  13,  14,  14,  14,  12,  11,  10,   9,   9,   8,   7,   6,   7,   6,   3,   2,   2,   2,   3,  -1,  -5, -10, -15, -20, -24, -28, -31, -33, -34, -35, -36, -37, -35, -33, -35, -39, -43, -48, -49, -50, -52, -55, -56, -57, -61, -63, -61, -64, -65, -66, -66, -67, -67, -67, -68, -68, -68, -67, -65, -65, -63, -63, -64, -64, -62, -61, -60, -57, -55, -53, -50, -51, -48, -44, -42, -39, -37, -35, -34, -31, -30, -28, -25, -23, -21, -17, -13,  -9,  -6,  -2,   2,   5,   9,  13,  17,  20,  21,  22,  31,  28,  31,  33,  34,  35,  36,  37,  38,  38,  39,  40,  41,  42,  44,  45,  47,  48,  49,  49,  49,  50,  49,  47,  41,  31,  36,  41,  41,  37,  36,  33,  31,  28,  28,  27,  24,  21,  22,  21,  19,  18,  15,  14,  13,  13,  11,  10,   9,   7,   8,   6,   6,   5,   7,   5,   5,   4,   4,
+  /*  21.0 */   3,   2,   2,   2,   3,   4,   5,   6,   7,   8,   8,   9,   9,  10,   9,   9,   9,   9,   8,   7,   6,   6,  12,  15,  10,  -0,  -2,  -3,  -4,  -6,  -8,  -9, -11, -12, -14, -16, -17, -19, -20, -22, -23, -25, -27, -28, -30, -32, -34, -35, -36, -38, -40, -41, -42, -43, -45, -46, -46, -47, -48, -48, -47, -47, -47, -46, -45, -43, -42, -40, -38, -36, -34, -32, -31, -30, -28, -22, -18, -15, -13, -11, -10, -10, -13, -15, -19, -22, -21, -21, -14, -13, -14, -12, -12, -11, -18, -19, -20, -20, -22, -23, -24, -21, -23, -25, -29, -34, -42, -44, -46, -44, -48, -51, -51, -51, -52, -52, -51, -51, -51, -50, -49, -47, -45, -44, -44, -42, -41, -39, -36, -34, -31, -29, -26, -22, -19, -16, -15, -13, -12, -10,  -8,  -6,  -4,  -2,   1,   4,   7,  11,  14,  16,  17,  18,  18,  19,  20,  21,  22,  23,  24,  24,  24,  25,  28,  32,  35,  36,  35,  35,  35,  33,  32,  30,  29,  28,  27,  27,  27,  27,  29,  29,  30,  31,  32,  32,  30,  29,  28,  26,  26,  28,  27,  25,  24,  22,  21,  22,  25,  29,  30,  24,  17,  14,  13,  13,  13,  15,  15,  14,  13,  11,  10,   9,  10,   9,   9,   9,   8,   6,   4,   3,   4,   6,   4,  -0,  -4,  -8, -13, -19, -24, -28, -31, -33, -35, -35, -36, -36, -35, -34, -33, -35, -40, -43, -46, -48, -50, -55, -55, -57, -58, -57, -57, -59, -61, -62, -63, -63, -63, -63, -64, -64, -65, -65, -64, -64, -62, -60, -60, -62, -59, -58, -57, -56, -54, -52, -51, -52, -48, -43, -42, -39, -37, -36, -34, -32, -31, -29, -27, -24, -22, -19, -15, -11,  -8,  -4,  -1,   3,   8,  12,  15,  18,  19,  21,  28,  26,  29,  31,  33,  34,  35,  36,  36,  37,  38,  39,  40,  41,  42,  45,  46,  47,  48,  48,  48,  49,  48,  44,  35,  29,  38,  37,  36,  34,  33,  33,  29,  30,  26,  25,  23,  19,  19,  18,  16,  16,  14,  12,  12,  10,   9,   8,   7,   6,   5,   4,   5,   4,   5,   6,   4,   4,   3,
+  /*  22.0 */   1,   1,   1,   1,   2,   3,   4,   5,   6,   7,   8,   8,   9,   9,   9,   9,   8,   8,   7,   8,  14,  11,   7,   2,  -1,  -0,  -1,  -3,  -5,  -7,  -9, -10, -11, -13, -15, -16, -18, -20, -21, -23, -24, -25, -27, -29, -31, -32, -34, -35, -36, -38, -39, -41, -42, -43, -45, -45, -46, -47, -47, -48, -47, -47, -47, -46, -45, -43, -42, -40, -38, -37, -35, -33, -31, -29, -25, -22, -18, -15, -13, -12, -12, -14, -16, -19, -24, -26, -24, -24, -18, -16, -15, -15, -14, -13, -18, -20, -19, -17, -18, -20, -21, -23, -24, -29, -32, -37, -38, -42, -43, -49, -51, -51, -51, -51, -52, -52, -52, -52, -51, -50, -50, -49, -47, -45, -44, -42, -40, -38, -36, -34, -31, -27, -24, -21, -17, -14, -13, -11, -10,  -8,  -6,  -4,  -2,   0,   3,   6,   9,  11,  14,  15,  17,  17,  17,  18,  19,  20,  22,  23,  24,  24,  24,  25,  27,  33,  36,  36,  36,  37,  37,  35,  33,  32,  30,  29,  27,  26,  25,  25,  27,  29,  30,  31,  32,  32,  31,  32,  31,  30,  30,  30,  27,  27,  25,  24,  23,  24,  26,  28,  28,  26,  20,  17,  15,  13,  13,  15,  15,  14,  13,  12,  11,  10,   9,   9,  10,  11,   8,   6,   5,   4,   6,   6,   4,   1,  -2,  -6, -10, -16, -23, -27, -31, -33, -34, -34, -34, -35, -35, -33, -32, -32, -36, -41, -42, -45, -44, -49, -52, -53, -54, -54, -54, -56, -58, -60, -60, -60, -61, -60, -59, -60, -60, -61, -62, -62, -60, -58, -58, -59, -58, -57, -57, -56, -54, -51, -51, -51, -48, -44, -42, -40, -38, -37, -34, -33, -30, -30, -29, -26, -23, -20, -17, -14, -10,  -6,  -2,   1,   5,  10,  14,  17,  19,  22,  23,  24,  27,  28,  30,  32,  34,  35,  35,  36,  37,  38,  39,  40,  41,  44,  45,  47,  48,  47,  49,  47,  43,  33,  26,  32,  37,  37,  36,  34,  32,  30,  27,  26,  23,  22,  20,  19,  17,  16,  15,  13,  11,  10,   8,   7,   7,   6,   5,   4,   3,   3,   2,   4,   2,   2,   3,   2,   1,
+  /*  23.0 */  -1,  -1,  -0,   1,   1,   2,   3,   4,   5,   6,   7,   7,   7,   6,   7,   8,  10,  11,  12,   7,   4,   4,   3,   3,   3,   2,  -0,  -3,  -6,  -8,  -9, -11, -12, -14, -16, -17, -18, -20, -21, -22, -24, -26, -27, -29, -31, -33, -34, -35, -36, -38, -40, -41, -42, -43, -45, -46, -46, -47, -47, -48, -47, -47, -46, -46, -45, -43, -42, -40, -39, -37, -33, -33, -31, -28, -25, -21, -18, -16, -14, -13, -13, -16, -18, -22, -26, -29, -27, -26, -27, -25, -20, -16, -17, -18, -19, -23, -23, -22, -22, -23, -24, -25, -24, -27, -30, -36, -39, -44, -47, -49, -50, -51, -51, -52, -52, -52, -53, -53, -52, -51, -50, -49, -47, -46, -44, -42, -39, -37, -34, -31, -29, -26, -22, -19, -16, -12, -11,  -9,  -8,  -6,  -4,  -2,  -1,   2,   4,   7,   9,  11,  13,  15,  16,  17,  17,  18,  20,  21,  22,  23,  24,  25,  26,  27,  29,  33,  36,  38,  37,  39,  38,  36,  35,  33,  31,  29,  28,  26,  25,  25,  27,  27,  30,  32,  32,  33,  33,  34,  36,  34,  33,  31,  29,  29,  27,  25,  25,  26,  27,  27,  27,  25,  22,  19,  16,  14,  14,  14,  15,  14,  13,  13,  11,  10,  10,   9,  11,  11,   8,   7,   6,   6,   7,   6,   5,   2,   0,  -3,  -8, -13, -20, -26, -30, -32, -33, -33, -33, -33, -33, -30, -28, -30, -38, -40, -43, -46, -45, -47, -47, -48, -50, -51, -52, -53, -55, -56, -57, -56, -57, -58, -59, -60, -58, -59, -60, -60, -57, -55, -56, -56, -57, -56, -56, -55, -54, -51, -51, -51, -48, -44, -43, -41, -39, -37, -35, -33, -31, -30, -29, -28, -26, -22, -19, -15, -12,  -8,  -4,  -0,   4,   8,  13,  16,  19,  26,  20,  17,  19,  22,  26,  30,  32,  34,  35,  36,  37,  38,  39,  40,  39,  42,  44,  46,  47,  48,  47,  40,  33,  27,  31,  35,  36,  35,  34,  31,  29,  31,  25,  24,  23,  21,  19,  15,  14,  13,  12,  11,   9,   8,   7,   5,   4,   3,   2,   2,   1,   1,   1,  -0,   1,   0,  -0,  -1,  -1,
+  /*  24.0 */  -2,  -2,  -1,  -0,   0,   2,   2,   3,   4,   4,   4,   6,   7,  12,  14,  10,   7,   5,   5,   4,   4,   4,   4,   3,   2,   1,  -2,  -5,  -7,  -9, -10, -11, -13, -14, -16, -17, -19, -20, -21, -22, -24, -26, -28, -29, -31, -33, -34, -36, -37, -39, -40, -41, -42, -43, -44, -45, -46, -47, -47, -47, -47, -47, -46, -45, -44, -43, -42, -41, -37, -35, -33, -33, -30, -27, -22, -19, -18, -17, -15, -14, -13, -18, -20, -23, -28, -31, -31, -28, -28, -29, -28, -24, -21, -23, -24, -26, -25, -25, -26, -26, -26, -27, -27, -32, -34, -39, -43, -45, -48, -50, -51, -52, -52, -52, -51, -52, -52, -53, -52, -51, -50, -49, -47, -46, -44, -41, -39, -36, -34, -31, -28, -25, -21, -17, -13, -11,  -9,  -7,  -5,  -3,  -2,   0,   2,   3,   5,   7,   9,  11,  14,  16,  17,  18,  19,  20,  20,  22,  23,  24,  25,  27,  28,  30,  31,  33,  35,  37,  40,  39,  38,  38,  36,  34,  33,  31,  30,  29,  27,  26,  26,  28,  29,  31,  32,  33,  34,  36,  37,  37,  35,  34,  33,  30,  28,  26,  26,  26,  27,  27,  26,  25,  22,  20,  17,  15,  14,  15,  14,  14,  13,  13,  12,  12,  11,  10,  11,  11,   9,   8,   8,   8,   8,   8,   6,   4,   2,  -2,  -5, -11, -18, -24, -28, -31, -33, -33, -33, -33, -30, -27, -30, -36, -37, -39, -42, -45, -47, -48, -45, -46, -46, -48, -48, -49, -51, -52, -53, -54, -55, -55, -56, -58, -58, -59, -59, -59, -58, -57, -56, -55, -56, -56, -55, -55, -55, -52, -51, -51, -49, -46, -43, -41, -39, -37, -36, -33, -32, -32, -31, -29, -27, -24, -20, -17, -13, -10,  -6,  -2,   2,   6,  10,  14,  17,  24,  15,  18,  21,  23,  27,  25,  29,  32,  35,  36,  37,  37,  37,  38,  39,  42,  44,  45,  46,  48,  44,  35,  29,  36,  37,  35,  34,  32,  33,  30,  28,  25,  24,  21,  20,  19,  16,  16,  13,  12,  11,   9,   7,   5,   4,   3,   2,   1,   1,  -0,  -1,  -1,  -1,  -1,  -2,  -2,  -3,  -2,  -2,
+  /*  25.0 */  -3,  -2,  -1,  -1,  -1,  -0,   1,   0,   5,   6,   7,   6,  14,   7,   3,   4,   4,   4,   4,   4,   3,   3,   2,   1,  -0,  -2,  -4,  -7,  -8, -10, -11, -12, -14, -15, -16, -17, -19, -20, -21, -23, -25, -26, -28, -30, -31, -33, -34, -36, -38, -39, -41, -42, -43, -44, -45, -46, -46, -47, -47, -47, -47, -46, -45, -45, -43, -43, -41, -39, -37, -34, -35, -33, -30, -26, -22, -21, -20, -19, -16, -15, -16, -19, -23, -22, -27, -32, -32, -30, -28, -27, -27, -28, -28, -26, -24, -27, -23, -23, -24, -24, -28, -28, -32, -33, -39, -43, -44, -47, -49, -51, -52, -52, -52, -51, -51, -51, -51, -52, -52, -51, -49, -48, -47, -45, -43, -41, -38, -35, -33, -29, -26, -22, -19, -15, -11,  -8,  -7,  -4,  -2,  -0,   1,   3,   5,   6,   8,   9,  11,  13,  15,  17,  18,  19,  21,  21,  21,  22,  23,  25,  26,  28,  31,  33,  33,  31,  34,  34,  37,  39,  40,  39,  38,  36,  34,  32,  31,  30,  29,  28,  27,  27,  27,  28,  28,  30,  33,  35,  36,  36,  36,  35,  33,  30,  29,  27,  26,  25,  27,  28,  26,  25,  22,  20,  19,  17,  16,  15,  14,  13,  13,  13,  13,  13,  13,  12,  13,  12,  10,   9,  10,  10,  10,   9,   8,   5,   2,  -2,  -5, -10, -16, -22, -27, -30, -31, -32, -33, -33, -28, -27, -29, -30, -32, -32, -34, -36, -38, -42, -43, -43, -45, -46, -46, -46, -48, -49, -48, -52, -54, -54, -56, -59, -60, -60, -60, -62, -62, -62, -61, -59, -56, -55, -54, -53, -52, -51, -50, -51, -49, -45, -41, -40, -39, -37, -35, -33, -31, -32, -32, -30, -27, -25, -21, -17, -14, -11,  -7,  -4,   1,   5,   9,  12,  15,  18,  20,  22,  25,  28,  26,  25,  24,  29,  33,  36,  34,  36,  37,  37,  39,  41,  43,  44,  46,  47,  42,  33,  38,  38,  35,  34,  32,  31,  28,  27,  26,  24,  21,  19,  17,  15,  14,  13,  10,   9,   9,   7,   5,   3,   2,   1,   0,  -1,  -1,  -2,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -3,  -3,
+  /*  26.0 */  -4,  -3,  -3,  -2,  -2,  -1,   6,   2,   5,   6,   3,   5,   5,   3,   4,   4,   4,   3,   3,   2,   2,   1,  -0,  -2,  -3,  -5,  -7,  -8,  -9, -11, -12, -13, -14, -15, -17, -18, -19, -20, -22, -23, -25, -27, -28, -30, -32, -33, -35, -36, -38, -39, -41, -42, -43, -44, -45, -46, -46, -46, -46, -46, -46, -46, -45, -44, -43, -42, -41, -37, -36, -35, -35, -31, -29, -24, -21, -21, -21, -20, -18, -19, -20, -23, -25, -23, -27, -33, -31, -29, -29, -29, -27, -26, -26, -25, -26, -28, -25, -25, -24, -26, -28, -30, -33, -39, -44, -43, -45, -48, -50, -51, -53, -52, -51, -50, -50, -50, -50, -51, -51, -50, -49, -47, -46, -44, -42, -39, -37, -34, -31, -28, -24, -21, -17, -13, -10,  -6,  -4,  -2,   1,   2,   4,   6,   7,   9,  11,  12,  13,  15,  17,  19,  20,  22,  23,  24,  24,  24,  25,  26,  27,  29,  32,  34,  34,  31,  31,  34,  36,  39,  39,  40,  40,  37,  35,  33,  32,  32,  31,  30,  28,  27,  26,  26,  26,  28,  30,  32,  34,  33,  33,  32,  31,  29,  28,  27,  26,  26,  28,  30,  28,  26,  24,  22,  21,  19,  17,  15,  14,  13,  13,  12,  13,  13,  13,  13,  14,  12,  11,  13,  12,  12,  11,  10,   8,   5,   2,  -1,  -5, -10, -15, -21, -26, -28, -30, -31, -32, -33, -31, -26, -22, -24, -26, -28, -30, -31, -31, -35, -40, -42, -44, -45, -45, -45, -46, -48, -48, -49, -53, -55, -57, -59, -61, -62, -64, -66, -66, -65, -64, -62, -58, -53, -50, -49, -48, -53, -55, -52, -49, -46, -42, -39, -38, -37, -36, -33, -31, -31, -30, -28, -26, -24, -21, -19, -16, -13,  -9,  -6,  -1,   3,   7,  10,  13,  16,  19,  22,  26,  28,  29,  29,  28,  25,  28,  33,  36,  36,  36,  37,  39,  40,  42,  43,  44,  43,  39,  35,  39,  38,  36,  34,  32,  28,  27,  26,  24,  22,  19,  17,  14,  13,  11,  10,   8,   7,   6,   5,   3,   2,   1,  -0,  -2,  -3,  -3,  -4,  -5,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -4,
+  /*  27.0 */  -4,  -5,  -4,  -1,  -1,  -3,  -3,  -3,  -1,  -1,   1,   2,   2,   3,   3,   3,   2,   1,   0,   0,  -1,  -2,  -3,  -5,  -6,  -7,  -8, -10, -11, -12, -13, -14, -15, -16, -17, -18, -20, -21, -23, -24, -26, -28, -29, -31, -32, -33, -35, -36, -38, -39, -41, -42, -43, -44, -45, -45, -45, -46, -46, -46, -45, -45, -44, -43, -43, -43, -38, -37, -36, -36, -33, -31, -27, -24, -23, -22, -21, -20, -20, -21, -22, -25, -26, -25, -28, -31, -30, -29, -29, -29, -27, -26, -26, -27, -29, -27, -25, -26, -26, -27, -30, -30, -33, -38, -44, -44, -45, -48, -50, -52, -52, -52, -51, -49, -49, -49, -49, -49, -49, -49, -48, -46, -45, -43, -41, -38, -35, -33, -30, -26, -23, -19, -15, -12,  -8,  -4,  -1,   1,   3,   5,   7,   8,  10,  12,  14,  15,  17,  18,  20,  21,  23,  23,  25,  26,  26,  26,  25,  26,  28,  30,  31,  34,  34,  33,  32,  32,  36,  38,  39,  39,  40,  38,  38,  35,  33,  33,  33,  32,  30,  27,  26,  26,  25,  26,  27,  29,  30,  30,  30,  30,  29,  29,  28,  27,  27,  28,  30,  31,  30,  27,  25,  23,  22,  20,  18,  16,  15,  14,  14,  14,  13,  13,  13,  14,  13,  12,  14,  15,  14,  12,  11,  10,   7,   4,   1,  -2,  -6, -10, -15, -20, -25, -27, -29, -28, -26, -26, -30, -28, -20, -22, -24, -25, -27, -29, -31, -31, -35, -40, -45, -43, -45, -45, -44, -46, -48, -47, -50, -54, -57, -60, -63, -66, -67, -67, -67, -65, -59, -51, -47, -41, -41, -42, -42, -47, -56, -56, -51, -46, -44, -40, -36, -35, -35, -34, -32, -31, -31, -29, -27, -24, -22, -19, -18, -15, -11,  -7,  -4,   1,   5,   9,  12,  15,  17,  21,  24,  27,  30,  31,  32,  26,  24,  29,  33,  35,  35,  37,  39,  40,  42,  43,  44,  42,  46,  33,  33,  35,  34,  32,  29,  28,  25,  23,  22,  18,  16,  15,  13,  11,  10,   8,   7,   5,   4,   3,   1,   0,  -1,  -2,  -3,  -4,  -5,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -4,
+  /*  28.0 */  -5,  -4,  -0,  -2,   1,  -4,  -5,  -3,  -2,  -1,  -0,   0,   1,   1,   0,  -0,  -1,  -2,  -2,  -3,  -3,  -5,  -6,  -7,  -8,  -9, -10, -11, -12, -13, -14, -14, -15, -16, -18, -19, -21, -22, -24, -25, -27, -28, -30, -31, -32, -34, -35, -36, -38, -39, -40, -42, -43, -44, -44, -44, -45, -45, -45, -45, -44, -44, -43, -43, -43, -37, -37, -35, -36, -34, -32, -29, -25, -24, -24, -23, -22, -21, -21, -23, -24, -26, -28, -28, -27, -28, -27, -26, -26, -25, -26, -27, -30, -31, -30, -26, -25, -26, -28, -30, -31, -34, -36, -38, -45, -45, -46, -48, -50, -52, -52, -51, -50, -48, -48, -47, -47, -47, -47, -46, -46, -44, -43, -41, -39, -36, -34, -31, -28, -25, -21, -18, -14, -10,  -6,  -2,   2,   4,   6,   8,  10,  11,  13,  15,  17,  19,  20,  21,  23,  25,  26,  26,  26,  27,  27,  27,  27,  27,  28,  30,  31,  34,  38,  45,  44,  41,  41,  39,  39,  39,  39,  39,  38,  36,  36,  36,  36,  34,  31,  30,  28,  28,  27,  27,  28,  28,  28,  28,  29,  29,  28,  28,  29,  29,  29,  30,  30,  30,  29,  26,  25,  23,  22,  21,  20,  17,  15,  15,  15,  15,  15,  14,  14,  13,  11,  13,  18,  17,  14,  12,  10,   8,   6,   3,  -0,  -3,  -7, -11, -15, -19, -23, -26, -24, -21, -19, -19, -21, -19, -18, -20, -20, -21, -25, -30, -32, -32, -32, -38, -44, -42, -45, -48, -47, -47, -46, -47, -48, -53, -56, -60, -63, -63, -58, -55, -53, -45, -33, -29, -29, -29, -30, -31, -30, -34, -41, -48, -49, -42, -40, -37, -34, -32, -33, -35, -37, -37, -35, -31, -28, -25, -23, -20, -19, -16, -12,  -9,  -5,  -1,   3,   7,  10,  13,  16,  20,  23,  26,  29,  31,  31,  29,  25,  26,  33,  35,  35,  37,  38,  40,  41,  42,  43,  40,  48,  32,  30,  32,  33,  30,  28,  24,  22,  21,  18,  17,  15,  13,  11,   9,   8,   6,   5,   4,   3,   1,   0,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -5,  -5,  -5,
+  /*  29.0 */  -5,  -3,  -5,  -6,  -5,  -6,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -3,  -3,  -3,  -4,  -4,  -4,  -6,  -7,  -8,  -9, -10, -10, -11, -12, -12, -13, -13, -15, -16, -17, -17, -19, -20, -22, -23, -25, -26, -27, -29, -30, -31, -33, -34, -35, -36, -38, -39, -41, -42, -43, -43, -44, -44, -44, -44, -44, -44, -43, -43, -42, -42, -41, -38, -35, -37, -35, -33, -31, -29, -25, -24, -25, -24, -23, -22, -22, -24, -24, -25, -27, -29, -28, -27, -27, -26, -25, -25, -25, -25, -29, -29, -27, -28, -28, -29, -29, -30, -32, -35, -37, -41, -46, -46, -47, -48, -51, -52, -52, -51, -49, -48, -47, -46, -45, -45, -44, -44, -43, -42, -40, -38, -37, -34, -32, -29, -26, -23, -19, -16, -12,  -8,  -4,  -0,   4,   7,   9,  11,  13,  15,  16,  18,  20,  22,  23,  25,  26,  27,  28,  28,  27,  28,  29,  29,  29,  29,  30,  32,  32,  34,  39,  37,  37,  36,  42,  42,  41,  41,  42,  42,  40,  40,  40,  40,  40,  38,  36,  34,  31,  29,  28,  28,  28,  27,  27,  27,  27,  28,  29,  28,  29,  30,  31,  31,  30,  29,  29,  26,  25,  23,  22,  23,  21,  20,  18,  16,  15,  16,  16,  15,  16,  14,  13,  15,  20,  17,  14,  12,  10,   8,   5,   2,  -0,  -3,  -7, -11, -15, -18, -21, -21, -15, -12, -13, -11,  -8,  -7, -11, -17, -17, -17, -22, -25, -27, -30, -30, -34, -42, -39, -45, -50, -49, -48, -47, -47, -49, -51, -55, -57, -55, -48, -40, -34, -31, -29, -30, -30, -31, -33, -34, -33, -32, -31, -30, -40, -44, -40, -37, -34, -32, -31, -32, -38, -43, -42, -39, -34, -30, -27, -24, -21, -20, -18, -13,  -9,  -6,  -2,   2,   6,   8,  12,  15,  19,  22,  24,  27,  29,  30,  30,  26,  24,  29,  33,  36,  36,  38,  39,  40,  42,  43,  36,  37,  23,  30,  32,  30,  28,  25,  23,  21,  20,  17,  16,  13,  11,  10,   9,   7,   5,   4,   3,   2,   1,  -1,  -3,  -3,  -5,  -5,  -6,  -6,  -7,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -5,
+  /*  30.0 */  -8,  -8,  -8,  -8,  -7,  -8,  -6,  -6,  -6,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -7,  -7,  -8,  -9, -10, -11, -11, -12, -12, -13, -13, -14, -15, -16, -17, -17, -18, -20, -21, -23, -24, -25, -27, -28, -29, -31, -32, -33, -34, -36, -37, -38, -39, -40, -41, -42, -42, -43, -43, -43, -43, -43, -43, -42, -42, -41, -40, -38, -35, -37, -35, -33, -31, -30, -28, -25, -25, -25, -24, -22, -23, -24, -24, -23, -24, -27, -28, -29, -29, -28, -28, -28, -28, -27, -28, -28, -28, -28, -29, -29, -29, -29, -30, -32, -36, -39, -41, -46, -46, -47, -49, -51, -52, -52, -51, -49, -47, -46, -45, -43, -42, -42, -41, -41, -40, -38, -36, -35, -33, -30, -28, -25, -21, -18, -14, -10,  -6,  -3,   1,   5,   9,  12,  14,  16,  18,  20,  22,  23,  25,  26,  28,  29,  30,  30,  33,  33,  30,  31,  30,  30,  31,  32,  33,  34,  35,  35,  37,  39,  40,  41,  44,  42,  40,  43,  47,  49,  48,  47,  46,  44,  41,  39,  38,  35,  33,  30,  29,  27,  26,  26,  26,  27,  27,  28,  29,  30,  31,  31,  30,  30,  29,  28,  27,  26,  24,  23,  22,  22,  21,  21,  18,  17,  17,  16,  16,  16,  17,  17,  17,  19,  17,  14,  12,  10,   7,   5,   2,  -0,  -4,  -8, -13, -15, -17, -18, -13,  -7,  -8,  -8,  -6,  -6,  -7, -13, -16, -15, -19, -22, -23, -24, -27, -28, -28, -34, -33, -39, -49, -49, -47, -46, -46, -48, -50, -48, -39, -35, -29, -25, -26, -27, -28, -30, -30, -31, -33, -34, -35, -35, -34, -35, -38, -38, -36, -35, -34, -32, -31, -32, -41, -44, -42, -41, -38, -32, -27, -24, -22, -22, -19, -15, -11,  -7,  -3,   1,   4,   7,  10,  14,  17,  21,  23,  25,  28,  30,  31,  30,  26,  27,  32,  34,  36,  37,  39,  39,  42,  42,  35,  25,  23,  30,  30,  28,  26,  23,  21,  19,  17,  16,  14,  12,  11,   9,   8,   6,   4,   3,   2,  -0,  -1,  -3,  -4,  -5,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -7,  -7,  -7,  -7,  -5,  -8,
+  /*  31.0 */  -8,  -9,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -9,  -9, -10, -11, -12, -13, -13, -13, -13, -14, -15, -15, -16, -18, -20, -21, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -33, -35, -36, -37, -38, -39, -40, -41, -41, -42, -42, -42, -42, -42, -42, -42, -41, -41, -40, -38, -34, -35, -36, -34, -32, -30, -28, -27, -26, -26, -24, -24, -23, -24, -25, -24, -24, -25, -27, -27, -28, -28, -29, -28, -28, -28, -28, -29, -29, -29, -28, -29, -29, -29, -30, -31, -34, -36, -40, -43, -44, -44, -48, -51, -52, -52, -51, -50, -48, -46, -45, -43, -42, -40, -40, -39, -39, -38, -36, -35, -33, -31, -28, -26, -23, -19, -16, -12,  -8,  -5,  -1,   3,   7,  11,  14,  18,  20,  22,  24,  25,  27,  28,  29,  30,  32,  32,  32,  34,  32,  32,  32,  31,  30,  32,  33,  35,  36,  37,  37,  38,  39,  41,  44,  44,  44,  43,  46,  51,  53,  54,  52,  50,  48,  46,  43,  42,  39,  37,  34,  32,  29,  27,  27,  27,  27,  28,  29,  31,  32,  31,  31,  30,  29,  28,  28,  27,  27,  26,  24,  23,  22,  21,  21,  19,  17,  15,  15,  16,  16,  17,  17,  18,  20,  18,  16,  14,  12,   9,   5,   2,  -1,  -6, -10, -14, -16, -16, -11,  -5,  -3,  -4,  -5,  -5,  -7,  -9, -14, -14, -15, -19, -21, -22, -23, -25, -26, -25, -26, -31, -37, -48, -47, -45, -44, -46, -48, -44, -36, -24, -22, -24, -26, -28, -29, -30, -31, -31, -33, -34, -35, -36, -36, -37, -36, -37, -38, -37, -36, -34, -32, -31, -31, -33, -41, -43, -42, -39, -35, -29, -24, -23, -22, -20, -16, -12,  -8,  -4,  -1,   3,   6,   9,  13,  16,  19,  22,  24,  27,  29,  30,  31,  29,  27,  30,  33,  36,  37,  38,  39,  42,  42,  35,  20,  24,  29,  28,  26,  24,  22,  20,  18,  16,  14,  13,  11,  10,   9,   7,   6,   4,   3,   1,  -1,  -3,  -4,  -5,  -7,  -7,  -8,  -8,  -8,  -8,  -9,  -8,  -8,  -8,  -6,  -8,  -8,  -9,  -8,
+  /*  32.0 */  -9, -10,  -9,  -9, -10, -10,  -9, -10, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9, -10, -11, -11, -12, -13, -14, -14, -14, -14, -15, -16, -17, -18, -20, -21, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -33, -34, -36, -37, -38, -39, -40, -40, -40, -41, -41, -42, -42, -42, -42, -42, -41, -41, -39, -38, -37, -33, -35, -34, -33, -31, -30, -28, -27, -26, -25, -24, -23, -26, -24, -26, -26, -27, -28, -28, -28, -27, -28, -27, -27, -27, -27, -27, -28, -29, -29, -28, -27, -28, -29, -31, -33, -34, -37, -39, -41, -43, -46, -50, -51, -51, -51, -50, -48, -47, -45, -43, -37, -40, -39, -37, -37, -37, -36, -35, -34, -31, -29, -26, -24, -21, -18, -14, -10,  -7,  -3,   1,   4,   8,  12,  16,  20,  23,  25,  27,  28,  30,  31,  33,  34,  35,  36,  36,  36,  38,  34,  34,  33,  33,  33,  34,  36,  38,  39,  40,  41,  40,  40,  42,  43,  43,  44,  46,  48,  49,  50,  55,  54,  51,  48,  47,  44,  41,  39,  38,  36,  32,  30,  28,  28,  29,  30,  32,  33,  32,  33,  32,  30,  29,  27,  27,  27,  29,  30,  27,  25,  22,  18,  14,  11,  11,  12,  16,  19,  17,  17,  16,  20,  21,  20,  19,  18,  15,  11,   7,   2,  -2,  -7, -10, -12, -14, -12,  -4,  -1,  -1,  -2,  -3,  -5,  -6, -10, -12, -12, -14, -18, -21, -22, -24, -24, -25, -25, -26, -31, -40, -45, -43, -43, -44, -46, -46, -35, -28, -25, -24, -26, -28, -29, -30, -31, -32, -33, -35, -37, -37, -37, -37, -38, -38, -39, -39, -39, -37, -34, -34, -32, -32, -31, -35, -41, -41, -38, -34, -29, -26, -24, -24, -21, -17, -13,  -9,  -6,  -2,   2,   5,   9,  12,  15,  18,  21,  24,  26,  29,  30,  32,  31,  26,  31,  33,  33,  36,  37,  39,  42,  42,  33,  16,  25,  29,  28,  26,  24,  22,  20,  17,  16,  13,  12,  11,   9,   8,   7,   6,   4,   1,  -1,  -3,  -4,  -6,  -7,  -8,  -8,  -9,  -8,  -8,  -9,  -8,  -5,  -9,  -9,  -9,  -9,  -9,  -9,  -9,
+  /*  33.0 */  -9, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -12, -13, -13, -14, -14, -15, -15, -15, -15, -16, -17, -18, -20, -21, -23, -24, -25, -26, -27, -28, -29, -29, -30, -32, -33, -34, -35, -36, -37, -38, -39, -39, -40, -41, -41, -41, -41, -42, -41, -41, -41, -40, -38, -38, -37, -33, -34, -34, -33, -32, -31, -29, -28, -26, -24, -24, -22, -22, -24, -22, -25, -27, -30, -30, -30, -28, -27, -28, -28, -27, -27, -27, -28, -29, -30, -30, -30, -30, -29, -29, -31, -33, -34, -36, -39, -40, -44, -48, -50, -51, -51, -50, -49, -47, -46, -44, -42, -40, -38, -38, -36, -35, -35, -34, -32, -31, -29, -27, -25, -22, -18, -16, -12,  -9,  -5,  -1,   3,   6,  10,  14,  17,  21,  25,  28,  30,  32,  33,  34,  36,  37,  38,  39,  39,  40,  38,  38,  38,  37,  35,  35,  35,  36,  40,  43,  45,  48,  45,  43,  41,  42,  42,  41,  39,  46,  48,  51,  52,  55,  52,  52,  50,  48,  45,  42,  40,  39,  36,  32,  30,  29,  29,  31,  33,  33,  33,  32,  31,  30,  29,  28,  27,  27,  28,  28,  29,  23,  14,  10,   7,   7,   7,   9,  12,  14,  15,  16,  16,  20,  24,  24,  21,  19,  17,  13,   8,   3,  -1,  -4,  -5,  -3,  -3,  -0,   4,   3,   1,  -1,  -4,  -5,  -8, -10, -12, -12, -14, -19, -21, -21, -21, -23, -24, -23, -26, -29, -37, -45, -47, -47, -45, -40, -34, -27, -23, -24, -25, -27, -29, -30, -31, -32, -33, -34, -36, -37, -38, -38, -38, -39, -39, -40, -40, -40, -37, -36, -35, -34, -34, -33, -34, -38, -39, -36, -34, -31, -28, -26, -23, -21, -18, -15, -11,  -6,  -2,   1,   5,   8,  11,  15,  18,  21,  24,  26,  28,  31,  32,  33,  31,  34,  35,  34,  34,  36,  37,  41,  43,  34,  15,  24,  28,  27,  25,  23,  21,  18,  16,  14,  13,  10,   9,   7,   6,   5,   5,   3,   0,  -2,  -4,  -6,  -7,  -8,  -9,  -9,  -9,  -9, -10, -10,  -7,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,
+  /*  34.0 */ -10, -10,  -9, -10, -10, -11, -12, -12, -12, -12, -13, -13, -12, -12, -12, -12, -12, -13, -13, -14, -14, -15, -15, -16, -16, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -29, -29, -31, -32, -32, -34, -35, -36, -37, -38, -39, -40, -40, -41, -41, -41, -41, -41, -41, -41, -41, -40, -39, -37, -37, -34, -32, -32, -33, -31, -30, -29, -26, -24, -23, -22, -23, -21, -23, -24, -24, -26, -28, -29, -30, -27, -27, -29, -30, -29, -28, -27, -28, -27, -28, -28, -29, -30, -30, -31, -31, -31, -32, -34, -36, -39, -40, -41, -47, -48, -48, -49, -48, -47, -46, -45, -43, -42, -40, -38, -37, -35, -34, -33, -32, -30, -29, -28, -25, -22, -20, -16, -13, -10,  -6,  -3,   1,   4,   8,  11,  15,  18,  22,  26,  29,  32,  35,  36,  38,  39,  40,  41,  41,  42,  42,  42,  42,  40,  38,  38,  38,  38,  38,  40,  42,  43,  44,  46,  45,  43,  42,  41,  40,  37,  38,  43,  45,  46,  48,  52,  51,  51,  50,  48,  46,  45,  42,  39,  34,  31,  29,  30,  32,  33,  34,  33,  33,  32,  32,  31,  29,  28,  26,  25,  23,  19,  13,   9,   9,   6,   1,   1,   5,   8,  10,  13,  14,  15,  18,  28,  26,  22,  20,  18,  14,  10,   6,   1,   0,   4,   5,   5,   6,   6,   4,  -1,  -3,  -5,  -7, -10, -11, -12, -14, -17, -20, -21, -20, -20, -21, -22, -22, -23, -28, -35, -42, -48, -44, -38, -32, -25, -25, -23, -24, -25, -26, -28, -30, -32, -34, -34, -36, -37, -38, -39, -39, -40, -41, -41, -41, -41, -40, -39, -38, -36, -36, -36, -36, -36, -38, -38, -36, -35, -33, -28, -25, -23, -21, -19, -15, -11,  -7,  -3,   1,   5,   8,  11,  14,  18,  21,  24,  26,  28,  30,  31,  32,  32,  34,  37,  37,  40,  36,  37,  40,  39,  25,  11,  23,  27,  25,  24,  21,  19,  17,  16,  14,  11,   9,   7,   5,   4,   4,   3,   2,  -0,  -2,  -4,  -6,  -8,  -8,  -9, -10,  -9, -10, -12, -12,  -9, -11,  -9,  -8,  -9,  -9,  -9,  -8, -10,
+  /*  35.0 */ -10, -10, -10, -10, -10, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -14, -14, -14, -15, -15, -16, -16, -16, -17, -18, -19, -20, -21, -22, -23, -23, -24, -26, -27, -28, -29, -30, -32, -33, -33, -34, -35, -36, -38, -39, -39, -40, -40, -40, -41, -41, -41, -41, -41, -40, -39, -39, -36, -34, -33, -32, -32, -31, -30, -29, -27, -25, -24, -24, -23, -21, -22, -20, -22, -24, -25, -27, -28, -28, -27, -28, -27, -30, -32, -32, -30, -28, -28, -28, -29, -28, -29, -30, -31, -30, -31, -33, -32, -32, -35, -37, -39, -40, -43, -45, -47, -46, -46, -45, -45, -44, -42, -40, -39, -37, -36, -34, -33, -31, -30, -29, -27, -26, -23, -20, -18, -15, -11,  -8,  -4,  -1,   2,   6,   9,  13,  16,  20,  23,  27,  30,  34,  37,  39,  41,  42,  43,  44,  45,  44,  45,  46,  44,  43,  43,  42,  41,  41,  40,  41,  42,  44,  47,  48,  46,  46,  48,  47,  44,  43,  41,  41,  40,  40,  44,  48,  50,  50,  50,  50,  49,  47,  44,  42,  37,  36,  37,  38,  37,  37,  36,  36,  36,  34,  34,  33,  29,  28,  26,  23,  17,  12,   9,  17,  20,  17,  10,   6,   6,   7,   7,  17,  28,  24,  19,  24,  26,  25,  22,  20,  17,  13,  10,   6,   6,   9,  11,  11,   9,   6,   1,  -2,  -5,  -7,  -9, -11, -12, -14, -16, -17, -21, -22, -23, -22, -22, -22, -23, -25, -29, -32, -35, -37, -35, -32, -28, -27, -23, -22, -22, -25, -26, -29, -32, -33, -35, -36, -37, -38, -39, -40, -41, -42, -43, -43, -42, -42, -42, -41, -40, -40, -39, -38, -38, -39, -39, -38, -36, -35, -34, -32, -27, -22, -21, -19, -16, -11,  -7,  -2,   2,   4,   7,  11,  14,  17,  20,  22,  25,  28,  29,  30,  31,  33,  35,  36,  36,  37,  37,  41,  39,  34,  23,  13,  20,  24,  23,  22,  21,  19,  17,  15,  12,  10,   8,   6,   5,   4,   3,   1,  -1,  -2,  -3,  -5,  -6,  -8,  -9, -10, -10, -10, -10, -12,  -9,  -4, -13, -10, -10, -10, -10,  -9, -10, -10,
+  /*  36.0 */ -11, -11, -11, -12, -12, -12, -13, -13, -13, -14, -14, -14, -14, -14, -13, -13, -13, -14, -14, -15, -15, -15, -16, -16, -17, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -29, -30, -31, -32, -33, -34, -35, -36, -37, -37, -39, -39, -39, -40, -40, -40, -40, -40, -40, -40, -39, -38, -36, -33, -34, -32, -29, -30, -29, -29, -27, -25, -23, -23, -21, -20, -21, -20, -19, -19, -21, -24, -27, -28, -29, -29, -28, -29, -30, -30, -29, -29, -29, -29, -29, -29, -29, -30, -30, -30, -32, -32, -32, -34, -33, -32, -36, -37, -40, -40, -43, -44, -44, -44, -43, -43, -42, -41, -39, -38, -37, -35, -33, -31, -30, -29, -27, -26, -23, -21, -18, -16, -11,  -9,  -5,  -3,   0,   4,   7,  11,  14,  18,  22,  25,  28,  31,  34,  38,  41,  43,  46,  47,  47,  48,  48,  48,  49,  48,  48,  48,  47,  45,  44,  43,  41,  42,  43,  45,  47,  49,  46,  46,  47,  44,  43,  45,  45,  42,  42,  42,  46,  48,  48,  47,  47,  48,  48,  46,  44,  43,  43,  43,  43,  42,  40,  39,  39,  38,  37,  38,  31,  29,  29,  27,  21,  14,  11,  19,  28,  31,  29,  25,  16,  12,  15,  15,  21,  27,  25,  23,  25,  27,  26,  24,  22,  20,  16,  14,  13,  13,  15,  15,  12,  10,   5,   5,   1,  -2,  -4,  -8, -10, -12, -13, -15, -18, -23, -27, -28, -29, -30, -30, -31, -32, -35, -29, -28, -30, -30, -31, -30, -26, -21, -24, -25, -30, -33, -33, -32, -34, -36, -37, -38, -39, -41, -42, -43, -44, -45, -46, -48, -47, -48, -47, -44, -46, -44, -43, -43, -42, -40, -37, -36, -34, -31, -29, -26, -22, -17, -17, -15, -12,  -7,  -2,   2,   4,   8,  10,  13,  16,  19,  22,  24,  27,  30,  28,  28,  30,  33,  33,  34,  36,  40,  42,  41,  38,  31,  19,  16,  22,  22,  22,  21,  19,  16,  14,  12,  10,   8,   6,   5,   3,   2,   2,   0,  -2,  -4,  -5,  -6,  -7,  -8,  -9, -10, -10, -10, -12, -11, -11, -12, -11, -11, -11, -11, -10, -11, -11,
+  /*  37.0 */ -12, -12, -12, -13, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -14, -14, -15, -15, -15, -16, -16, -17, -18, -18, -20, -20, -21, -22, -23, -24, -25, -26, -27, -29, -30, -31, -33, -34, -35, -36, -37, -37, -37, -38, -39, -39, -39, -40, -40, -40, -40, -39, -39, -38, -37, -33, -33, -32, -27, -27, -28, -27, -27, -26, -23, -23, -23, -22, -21, -21, -19, -17, -17, -20, -23, -26, -28, -28, -29, -29, -30, -30, -31, -30, -30, -30, -31, -30, -29, -30, -31, -32, -32, -31, -32, -32, -32, -33, -33, -34, -36, -39, -39, -42, -43, -43, -43, -42, -42, -42, -40, -39, -37, -35, -34, -32, -31, -28, -28, -25, -24, -22, -19, -16, -13, -10,  -7,  -4,  -1,   2,   5,   9,  12,  16,  19,  23,  26,  29,  33,  36,  38,  42,  45,  47,  49,  51,  51,  51,  51,  52,  52,  52,  52,  49,  49,  49,  48,  47,  46,  46,  47,  47,  51,  52,  48,  46,  51,  49,  52,  52,  50,  47,  47,  48,  51,  50,  47,  46,  45,  44,  45,  45,  43,  43,  43,  43,  43,  42,  42,  42,  40,  38,  41,  31,  29,  28,  27,  23,  21,  25,  31,  36,  38,  37,  34,  30,  28,  29,  29,  33,  33,  32,  29,  30,  30,  27,  25,  23,  22,  19,  18,  19,  20,  17,  16,  12,   8,   5,  -3,  -7,  -9, -10, -10, -10, -11, -14, -17, -23, -28, -31, -33, -35, -37, -38, -41, -44, -45, -39, -33, -30, -29, -29, -31, -28, -28, -34, -42, -48, -51, -51, -51, -46, -42, -39, -42, -42, -44, -46, -46, -50, -56, -58, -57, -55, -54, -50, -47, -46, -44, -43, -43, -44, -42, -40, -37, -34, -31, -30, -25, -21, -16, -16, -16, -12,  -8,  -3,   0,   4,   7,  10,  13,  16,  19,  21,  23,  26,  29,  27,  28,  29,  31,  32,  33,  35,  37,  40,  42,  43,  39,  28,  16,  18,  22,  22,  20,  18,  16,  14,  11,  10,   8,   6,   4,   2,   1,   1,  -0,  -2,  -4,  -5,  -6,  -7,  -8,  -9,  -9, -10, -11, -13, -12, -13, -13, -12, -11, -11, -11, -11, -12, -12,
+  /*  38.0 */ -13, -12, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -14, -14, -15, -15, -16, -17, -17, -18, -19, -20, -21, -22, -22, -24, -25, -26, -27, -29, -30, -31, -33, -33, -35, -35, -36, -36, -37, -37, -38, -38, -39, -39, -39, -39, -39, -38, -37, -37, -33, -32, -31, -26, -24, -25, -25, -25, -24, -23, -21, -19, -21, -20, -19, -17, -15, -16, -17, -21, -23, -25, -26, -27, -27, -29, -30, -32, -32, -33, -32, -32, -31, -30, -30, -31, -32, -34, -35, -34, -34, -33, -32, -32, -33, -34, -35, -37, -37, -39, -42, -42, -41, -41, -41, -41, -40, -38, -36, -34, -32, -30, -28, -28, -27, -24, -22, -20, -18, -15, -11,  -8,  -5,  -2,   1,   4,   7,   9,  13,  16,  20,  23,  27,  31,  34,  37,  39,  42,  45,  48,  51,  53,  54,  55,  56,  55,  55,  55,  55,  53,  52,  51,  50,  49,  48,  49,  47,  48,  49,  50,  48,  45,  44,  49,  53,  55,  55,  55,  52,  51,  51,  52,  50,  49,  47,  46,  45,  44,  44,  43,  42,  42,  43,  44,  43,  43,  44,  42,  42,  38,  31,  29,  25,  23,  25,  29,  36,  39,  39,  39,  38,  36,  36,  37,  37,  37,  36,  35,  36,  35,  34,  31,  28,  26,  23,  23,  24,  24,  20,  18,  16,  13,   5,  -8, -12, -12, -13, -16, -17, -16, -15, -19, -26, -29, -31, -33, -35, -36, -38, -38, -39, -43, -44, -41, -33, -30, -28, -28, -30, -33, -46, -52, -53, -54, -54, -55, -56, -56, -56, -55, -49, -45, -44, -48, -54, -59, -60, -58, -53, -48, -47, -47, -45, -44, -45, -46, -49, -47, -45, -42, -39, -36, -32, -30, -25, -20, -17, -16, -15, -13,  -9,  -5,  -1,   3,   7,  10,  13,  15,  18,  20,  23,  26,  26,  26,  27,  28,  29,  31,  31,  32,  36,  36,  38,  42,  41,  35,  24,  17,  21,  22,  21,  19,  16,  13,  12,  10,   8,   6,   4,   3,   1,  -0,  -2,  -3,  -4,  -4,  -5,  -7,  -9,  -9, -10, -11, -12, -10,  -8, -14, -13, -12, -11, -11, -11, -12, -13, -13,
+  /*  39.0 */ -13, -12, -13, -13, -13, -13, -13, -12, -12, -12, -12, -11, -11, -12, -12, -12, -12, -13, -13, -13, -14, -14, -15, -15, -16, -17, -17, -18, -19, -21, -22, -22, -23, -24, -26, -27, -28, -30, -31, -32, -33, -34, -34, -35, -35, -36, -36, -37, -37, -37, -37, -37, -37, -37, -36, -36, -34, -30, -30, -27, -24, -25, -24, -22, -22, -21, -21, -20, -18, -18, -20, -18, -17, -14, -14, -16, -20, -22, -24, -25, -26, -27, -28, -30, -32, -33, -33, -33, -33, -33, -32, -32, -32, -33, -35, -35, -35, -34, -35, -34, -32, -33, -34, -33, -35, -36, -37, -37, -39, -40, -39, -38, -38, -38, -37, -36, -33, -32, -31, -27, -27, -25, -24, -22, -19, -16, -13, -10,  -7,  -3,  -0,   2,   5,   8,  11,  14,  17,  20,  24,  27,  30,  33,  36,  39,  43,  45,  49,  52,  54,  56,  57,  58,  58,  58,  57,  56,  55,  54,  52,  51,  51,  49,  49,  49,  48,  49,  50,  51,  49,  49,  53,  54,  55,  55,  54,  54,  54,  53,  53,  52,  50,  49,  49,  47,  46,  45,  44,  44,  45,  46,  44,  43,  43,  43,  43,  43,  44,  37,  30,  29,  27,  28,  33,  38,  40,  40,  40,  40,  39,  40,  40,  39,  37,  37,  36,  36,  36,  34,  31,  30,  29,  28,  27,  26,  24,  21,  18,  14,  11,  -0, -12, -17, -17, -18, -21, -20, -19, -21, -24, -27, -29, -31, -33, -34, -36, -37, -38, -36, -35, -36, -36, -35, -33, -30, -30, -36, -47, -51, -52, -51, -51, -54, -57, -59, -60, -62, -63, -63, -63, -58, -55, -55, -56, -56, -52, -51, -49, -47, -46, -48, -52, -52, -52, -51, -48, -45, -42, -39, -36, -32, -28, -25, -19, -16, -14, -13, -12,  -9,  -5,  -1,   2,   6,  10,  13,  15,  17,  20,  23,  24,  23,  25,  25,  26,  28,  30,  31,  31,  33,  35,  37,  39,  41,  38,  25,  15,  20,  22,  21,  20,  18,  16,  13,  11,   9,   7,   5,   4,   2,   0,  -1,  -3,  -4,  -5,  -6,  -7,  -9,  -9, -10, -11, -13, -15, -13, -14, -13, -12, -12, -12, -12, -13, -13, -13,
+  /*  40.0 */ -13, -13, -12, -13, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -13, -13, -13, -13, -14, -15, -16, -16, -17, -18, -20, -21, -22, -22, -24, -25, -26, -28, -28, -30, -30, -31, -32, -33, -34, -34, -35, -35, -36, -36, -36, -37, -37, -36, -36, -35, -34, -31, -28, -28, -23, -23, -23, -23, -21, -20, -19, -19, -19, -18, -16, -18, -17, -16, -13, -12, -17, -19, -21, -23, -24, -25, -26, -27, -28, -30, -32, -33, -33, -33, -33, -33, -33, -33, -34, -35, -34, -34, -34, -35, -35, -34, -33, -35, -35, -35, -34, -34, -35, -35, -35, -35, -34, -34, -34, -34, -34, -33, -31, -30, -29, -27, -25, -23, -21, -18, -15, -12,  -9,  -6,  -2,   1,   4,   7,  10,  13,  16,  19,  23,  26,  29,  32,  35,  38,  41,  43,  46,  49,  52,  55,  57,  59,  59,  59,  60,  59,  58,  57,  56,  54,  54,  52,  51,  52,  51,  49,  48,  47,  46,  46,  46,  49,  54,  56,  55,  55,  54,  52,  52,  53,  52,  51,  50,  48,  49,  48,  45,  45,  44,  46,  48,  46,  44,  44,  44,  45,  46,  45,  38,  39,  34,  34,  36,  40,  40,  41,  40,  40,  40,  39,  38,  39,  39,  38,  37,  35,  34,  32,  30,  29,  30,  29,  29,  27,  26,  22,  20,  19,  11,   3,  -8, -16, -21, -18, -15, -16, -15, -18, -21, -24, -26, -28, -30, -33, -34, -35, -36, -37, -38, -39, -41, -41, -42, -40, -39, -35, -35, -41, -45, -46, -50, -56, -60, -62, -62, -64, -66, -67, -67, -66, -66, -67, -66, -64, -63, -62, -59, -56, -55, -57, -57, -55, -54, -53, -50, -47, -45, -43, -40, -36, -32, -29, -25, -20, -16, -13, -11, -10,  -8,  -4,  -1,   3,   5,   8,  11,  14,  17,  20,  24,  24,  23,  23,  24,  25,  26,  29,  30,  31,  31,  33,  34,  38,  40,  37,  24,  15,  17,  21,  21,  20,  18,  17,  15,  12,  10,   8,   6,   5,   3,   1,  -0,  -2,  -3,  -4,  -6,  -7,  -8,  -9, -10, -11, -13, -11, -15, -13, -12, -11, -12, -12, -13, -13, -12, -13,
+  /*  41.0 */ -12, -12, -12, -12, -12, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -12, -12, -12, -13, -14, -15, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -31, -32, -33, -33, -33, -33, -33, -32, -32, -32, -32, -32, -33, -30, -25, -25, -23, -22, -21, -20, -19, -18, -17, -17, -17, -17, -14, -13, -14, -16, -12, -11, -15, -18, -20, -21, -22, -23, -24, -26, -27, -28, -30, -32, -32, -33, -33, -33, -33, -33, -34, -35, -34, -36, -35, -34, -34, -35, -33, -34, -34, -33, -34, -32, -31, -32, -32, -31, -31, -29, -28, -30, -31, -30, -29, -28, -27, -26, -24, -21, -19, -16, -13, -10,  -7,  -4,  -1,   3,   7,   9,  12,  16,  19,  21,  24,  27,  30,  34,  37,  40,  42,  45,  47,  50,  53,  55,  58,  59,  61,  61,  60,  60,  59,  58,  57,  56,  56,  54,  52,  52,  51,  51,  50,  49,  48,  48,  48,  49,  55,  56,  56,  56,  55,  54,  54,  53,  51,  50,  50,  49,  48,  46,  46,  45,  45,  46,  48,  47,  46,  46,  47,  48,  48,  48,  46,  40,  35,  37,  43,  44,  43,  42,  41,  41,  39,  38,  37,  36,  36,  36,  35,  34,  31,  28,  26,  25,  24,  24,  24,  25,  26,  23,  18,  11,   5,   5,  -6, -16, -16, -11, -12, -13, -14, -17, -21, -25, -27, -28, -30, -32, -33, -34, -36, -37, -40, -42, -44, -41, -45, -49, -44, -38, -34, -34, -33, -35, -44, -54, -59, -61, -63, -65, -66, -65, -64, -62, -62, -62, -64, -63, -61, -61, -60, -58, -56, -56, -56, -56, -55, -53, -50, -48, -46, -42, -40, -38, -33, -28, -24, -21, -17, -14, -11,  -8,  -7,  -3,   1,   3,   5,   7,  10,  14,  18,  21,  24,  26,  27,  24,  23,  24,  25,  26,  27,  28,  30,  30,  32,  35,  36,  29,  17,  11,  10,  16,  19,  19,  18,  17,  16,  14,  12,  10,   7,   6,   4,   2,   1,  -1,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -11, -12,  -7,  -8, -13, -11, -11, -12, -12, -12, -12, -12, -12,
+  /*  42.0 */ -11, -11, -11, -11, -11, -10, -10,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -9,  -9, -10, -10, -10, -10, -11, -11, -12, -13, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -30, -31, -31, -32, -32, -32, -31, -31, -31, -31, -30, -30, -30, -27, -24, -23, -21, -20, -19, -18, -17, -16, -15, -15, -15, -15, -14, -14, -14, -14, -13, -12, -14, -18, -19, -19, -21, -22, -24, -25, -25, -28, -29, -28, -32, -32, -33, -33, -34, -34, -34, -34, -34, -35, -36, -36, -35, -35, -33, -32, -33, -33, -31, -32, -30, -30, -29, -28, -28, -27, -26, -25, -27, -26, -26, -26, -26, -24, -23, -20, -17, -13, -10,  -8,  -6,  -1,   4,   5,   9,  12,  15,  18,  21,  24,  26,  29,  32,  35,  38,  42,  44,  46,  48,  51,  53,  56,  58,  60,  62,  61,  61,  61,  60,  60,  59,  58,  57,  57,  55,  54,  54,  53,  51,  51,  50,  51,  52,  53,  56,  56,  57,  57,  54,  54,  54,  52,  50,  50,  50,  51,  50,  47,  47,  46,  46,  46,  51,  47,  48,  48,  49,  48,  46,  47,  44,  39,  37,  41,  45,  44,  45,  43,  41,  40,  40,  38,  34,  30,  28,  27,  28,  29,  27,  25,  22,  20,  19,  19,  18,  20,  20,  19,  14,  12,   9,  -1,  -8, -11, -12, -11, -12, -14, -17, -20, -23, -25, -27, -28, -29, -31, -33, -34, -35, -39, -41, -43, -43, -40, -36, -38, -37, -36, -35, -37, -38, -38, -38, -39, -44, -52, -56, -56, -57, -60, -63, -62, -64, -63, -62, -63, -63, -63, -61, -58, -56, -56, -56, -55, -54, -53, -50, -48, -46, -43, -40, -36, -33, -29, -26, -23, -19, -16, -11,  -7,  -5,  -2,   0,   2,   4,   6,   8,  13,  18,  21,  23,  25,  26,  25,  23,  23,  24,  25,  26,  27,  28,  29,  30,  35,  33,  22,  21,  15,  11,   9,  10,  14,  16,  17,  16,  15,  13,  11,   9,   7,   5,   3,   2,  -0,  -1,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -12, -10, -11, -13, -11, -11, -11, -12, -12, -11, -11, -11,
+  /*  43.0 */ -10, -10,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -8,  -9,  -9, -10, -11, -11, -12, -12, -13, -14, -16, -17, -18, -19, -20, -21, -22, -22, -23, -24, -25, -26, -27, -28, -29, -30, -30, -30, -30, -31, -30, -30, -30, -29, -29, -29, -29, -24, -23, -21, -20, -19, -18, -18, -16, -16, -15, -14, -13, -12, -11, -10, -10, -14, -12, -14, -15, -15, -18, -19, -21, -24, -26, -27, -26, -27, -29, -29, -30, -31, -32, -34, -35, -35, -35, -34, -34, -34, -35, -36, -36, -37, -36, -35, -35, -34, -32, -32, -29, -28, -27, -27, -27, -26, -24, -25, -23, -22, -22, -21, -21, -20, -20, -18, -14, -10,  -8,  -7,  -2,   4,  10,  13,  16,  17,  19,  20,  23,  26,  29,  31,  34,  37,  40,  43,  45,  47,  50,  52,  54,  56,  59,  61,  62,  62,  62,  62,  62,  62,  62,  61,  60,  58,  58,  58,  57,  56,  53,  51,  52,  55,  53,  54,  55,  57,  56,  56,  55,  54,  51,  50,  51,  52,  52,  51,  50,  50,  49,  48,  46,  46,  47,  49,  49,  48,  47,  43,  43,  43,  43,  43,  44,  46,  45,  44,  44,  42,  41,  40,  38,  36,  31,  29,  28,  26,  23,  21,  20,  19,  20,  18,  15,  17,  22,  23,  22,  17,  12,   5,  -1,  -6,  -8,  -9, -10, -12, -14, -17, -19, -20, -23, -25, -27, -28, -29, -32, -32, -34, -37, -39, -41, -42, -42, -40, -41, -41, -42, -44, -43, -42, -41, -42, -44, -47, -46, -48, -49, -51, -48, -49, -53, -62, -65, -63, -64, -64, -62, -57, -57, -60, -57, -56, -55, -53, -52, -50, -49, -46, -44, -43, -40, -38, -34, -31, -28, -25, -22, -18, -13,  -8,  -4,  -2,  -1,   1,   3,   5,   8,  11,  15,  19,  21,  22,  24,  25,  25,  26,  26,  27,  26,  26,  27,  28,  29,  32,  33,  30,  31,  28,  28,  21,  11,   3,   6,  12,  15,  14,  14,  12,  11,   9,   7,   5,   3,   1,   0,  -2,  -3,  -5,  -5,  -6,  -7,  -8, -11,  -8, -10, -11,  -9, -10, -11, -11, -10, -10, -10, -10,
+  /*  44.0 */  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -8,  -9,  -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -28, -29, -29, -29, -29, -29, -29, -28, -28, -28, -29, -28, -23, -22, -21, -19, -18, -18, -17, -17, -15, -13, -11, -11, -11,  -9,  -8, -10, -13, -10, -15, -15, -13, -17, -20, -23, -25, -25, -26, -26, -27, -28, -29, -29, -31, -33, -36, -37, -36, -36, -34, -34, -36, -35, -36, -36, -37, -37, -37, -36, -34, -31, -29, -29, -28, -27, -27, -26, -24, -24, -23, -23, -23, -21, -19, -18, -15, -13, -12, -11,  -9,  -7,  -3,   3,   8,  12,  16,  17,  18,  20,  23,  25,  28,  30,  33,  35,  38,  40,  44,  46,  48,  51,  53,  55,  57,  59,  61,  63,  64,  64,  64,  64,  63,  63,  63,  61,  60,  58,  58,  58,  56,  55,  55,  53,  50,  47,  47,  51,  51,  49,  48,  50,  46,  47,  49,  49,  49,  49,  51,  52,  51,  50,  51,  52,  49,  46,  46,  45,  42,  41,  42,  43,  44,  46,  47,  46,  45,  44,  43,  40,  40,  39,  37,  36,  35,  33,  32,  29,  25,  22,  20,  17,  17,  15,  13,  16,  21,  20,  18,  14,   7,   2,  -2,  -5,  -7,  -9, -11, -12, -13, -15, -16, -18, -20, -23, -25, -27, -29, -30, -32, -34, -36, -37, -38, -39, -38, -39, -41, -42, -44, -44, -45, -45, -46, -47, -47, -49, -49, -51, -51, -52, -52, -56, -61, -66, -64, -60, -61, -60, -58, -59, -60, -62, -58, -56, -54, -53, -52, -51, -49, -47, -46, -44, -42, -40, -37, -35, -32, -28, -25, -22, -18, -14, -10,  -6,  -4,  -2,   0,   2,   4,   7,   9,  13,  16,  19,  20,  22,  25,  25,  24,  25,  25,  27,  27,  26,  27,  28,  30,  31,  31,  32,  31,  31,  31,  30,  19,   2,  -3,   2,   9,  11,  12,  11,  10,   8,   6,   4,   3,   2,  -0,  -1,  -3,  -4,  -5,  -5,  -8, -11,  -8, -11, -10,  -9,  -9, -10,  -9,  -9,  -9,  -8,  -8,
+  /*  45.0 */  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -5,  -6,  -7,  -7,  -8,  -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -24, -25, -26, -26, -27, -27, -28, -28, -28, -27, -26, -27, -26, -27, -27, -27, -23, -22, -20, -20, -19, -17, -16, -15, -15, -14, -13, -11,  -9,  -9,  -7, -12, -11, -14, -15, -15, -15, -17, -20, -22, -23, -24, -25, -25, -27, -27, -28, -28, -31, -31, -34, -36, -37, -37, -36, -35, -36, -37, -37, -37, -37, -36, -35, -34, -34, -32, -30, -30, -28, -27, -26, -26, -25, -24, -23, -22, -21, -20, -18, -17, -15, -13, -10,  -7,  -4,  -2,   3,   6,  10,  14,  17,  19,  21,  23,  26,  28,  30,  32,  34,  37,  39,  42,  44,  46,  49,  51,  53,  55,  57,  60,  61,  63,  65,  65,  65,  65,  64,  64,  63,  62,  61,  59,  59,  59,  59,  57,  55,  56,  54,  53,  51,  48,  46,  46,  45,  45,  44,  47,  48,  47,  47,  49,  51,  53,  53,  51,  52,  53,  45,  42,  39,  41,  43,  43,  44,  46,  46,  46,  46,  45,  44,  43,  43,  42,  38,  37,  34,  32,  33,  32,  31,  29,  27,  26,  26,  22,  18,  16,  14,  13,  13,  13,  11,   8,   4,   1,  -2,  -4,  -6,  -9, -11, -12, -14, -16, -18, -20, -22, -24, -26, -28, -29, -30, -32, -33, -35, -37, -38, -38, -39, -41, -42, -43, -44, -44, -45, -47, -48, -50, -49, -45, -40, -44, -52, -56, -58, -63, -66, -67, -65, -61, -59, -57, -57, -57, -56, -53, -53, -51, -49, -49, -49, -49, -47, -47, -46, -44, -42, -40, -37, -34, -32, -29, -26, -22, -18, -15, -12,  -8,  -5,  -2,   0,   2,   4,   6,   8,  11,  14,  16,  18,  20,  23,  24,  23,  24,  25,  29,  30,  26,  26,  27,  28,  29,  28,  28,  27,  26,  26,  26,  28,  24,  14,   1,  -4,   3,  10,  12,  11,  10,   8,   6,   5,   3,   2,  -0,  -2,  -3,  -4,  -5,  -7, -10,  -3, -10,  -9,  -8,  -9,  -7,  -8,  -7,  -7,  -7,  -6,
+  /*  46.0 */  -5,  -4,  -4,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,  -0,  -1,  -1,  -0,  -0,  -1,  -1,  -2,  -3,  -4,  -4,  -5,  -6,  -7,  -8,  -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -20, -21, -22, -23, -24, -25, -25, -26, -26, -26, -26, -25, -25, -25, -25, -25, -26, -26, -23, -20, -20, -20, -20, -21, -18, -16, -16, -15, -13, -12, -12, -11, -11, -13, -14, -15, -16, -16, -16, -16, -19, -21, -22, -24, -25, -26, -27, -27, -27, -28, -28, -30, -31, -32, -34, -35, -36, -36, -37, -38, -38, -38, -37, -37, -36, -35, -34, -33, -33, -32, -29, -28, -26, -25, -25, -24, -22, -20, -19, -18, -17, -15, -13, -12,  -9,  -6,  -2,   1,   4,   7,  10,  14,  18,  20,  24,  26,  29,  29,  31,  33,  35,  38,  40,  42,  45,  47,  49,  52,  53,  55,  57,  60,  61,  63,  65,  66,  66,  66,  65,  64,  63,  61,  61,  61,  60,  59,  59,  57,  55,  54,  52,  50,  49,  48,  47,  47,  47,  46,  48,  49,  48,  48,  48,  49,  50,  50,  50,  49,  49,  51,  52,  48,  49,  49,  48,  45,  47,  47,  46,  45,  45,  45,  44,  43,  42,  42,  41,  39,  37,  32,  31,  31,  29,  27,  25,  23,  22,  20,  17,  15,  13,  12,  11,   9,   7,   6,   3,   1,  -1,  -4,  -6,  -8, -10, -12, -15, -16, -18, -20, -22, -24, -26, -27, -29, -30, -31, -33, -35, -36, -37, -38, -39, -41, -41, -42, -43, -44, -44, -46, -48, -50, -51, -51, -51, -50, -52, -51, -51, -56, -60, -61, -60, -58, -54, -53, -51, -50, -49, -52, -50, -49, -49, -49, -48, -46, -45, -45, -44, -42, -41, -39, -36, -34, -32, -28, -25, -22, -19, -16, -13, -11,  -7,  -3,   0,   2,   4,   5,   7,  10,  12,  14,  17,  19,  20,  21,  22,  22,  24,  27,  29,  29,  26,  25,  26,  26,  26,  26,  24,  23,  23,  23,  23,  24,  25,  24,  17,   7,   4,  10,  12,  12,  10,   9,   7,   5,   3,   1,  -1,  -2,  -3,  -4,  -7,  -4,  -5,  -9,  -7,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -5,
+  /*  47.0 */  -3,  -3,  -2,  -1,  -1,  -1,   0,   0,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   1,   0,  -0,  -1,  -2,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -10, -11, -13, -14, -15, -16, -18, -19, -20, -21, -22, -22, -23, -24, -24, -24, -24, -23, -23, -23, -24, -24, -25, -24, -23, -21, -20, -18, -20, -20, -19, -17, -16, -15, -14, -13, -13, -12, -12, -12, -14, -15, -16, -16, -16, -17, -19, -21, -22, -24, -25, -26, -27, -28, -29, -30, -29, -31, -32, -33, -35, -36, -37, -37, -37, -37, -37, -37, -37, -37, -37, -36, -35, -34, -33, -31, -29, -28, -28, -26, -24, -22, -21, -20, -19, -18, -17, -15, -14, -11,  -8,  -4,  -0,   3,   6,   8,  11,  15,  17,  21,  25,  28,  32,  35,  36,  35,  36,  38,  41,  44,  46,  48,  50,  52,  54,  56,  57,  60,  62,  63,  65,  66,  66,  66,  65,  64,  62,  62,  62,  61,  60,  59,  58,  57,  56,  55,  53,  50,  50,  50,  49,  48,  48,  50,  50,  49,  49,  48,  48,  48,  48,  48,  48,  48,  50,  49,  48,  48,  49,  50,  50,  49,  48,  48,  47,  45,  45,  44,  43,  42,  42,  41,  39,  39,  36,  33,  33,  31,  29,  28,  25,  24,  22,  21,  20,  18,  15,  14,  11,   9,   7,   5,   2,  -1,  -4,  -6,  -8, -11, -14, -15, -16, -18, -19, -20, -21, -22, -23, -25, -27, -29, -30, -32, -34, -35, -35, -36, -37, -39, -39, -41, -42, -43, -44, -45, -46, -47, -47, -48, -49, -49, -49, -48, -47, -47, -48, -53, -54, -51, -47, -43, -45, -47, -49, -49, -48, -47, -46, -45, -44, -43, -44, -44, -43, -42, -40, -38, -35, -33, -31, -28, -26, -23, -20, -17, -15, -12,  -8,  -4,  -1,   2,   4,   5,   7,   9,  12,  13,  16,  18,  19,  20,  20,  21,  23,  25,  26,  28,  27,  25,  24,  24,  25,  25,  22,  21,  20,  21,  21,  21,  22,  23,  25,  24,  16,   4,  10,  12,  12,  10,   9,   7,   5,   3,   1,   0,  -1,  -3,  -7,  -3,  -4,  -6,  -5,  -4,  -5,  -5,  -4,  -4,  -4,  -3,  -3,
+  /*  48.0 */  -1,  -0,  -0,   1,   1,   1,   2,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   2,   1,   1,  -0,  -1,  -2,  -3,  -4,  -4,  -5,  -7,  -8,  -9, -10, -11, -12, -14, -15, -16, -17, -18, -19, -20, -21, -21, -22, -22, -22, -22, -22, -22, -22, -23, -23, -23, -20, -20, -22, -18, -18, -18, -17, -17, -16, -15, -15, -13, -14, -14, -15, -15, -16, -16, -17, -17, -18, -18, -18, -21, -22, -24, -25, -27, -27, -28, -29, -31, -32, -31, -33, -35, -35, -36, -37, -37, -37, -37, -38, -38, -38, -38, -38, -36, -35, -33, -33, -32, -30, -28, -28, -27, -24, -22, -21, -20, -19, -18, -17, -16, -14,  -9,  -4,  -2,   2,   5,   8,   9,  13,  17,  21,  25,  27,  29,  32,  35,  36,  36,  37,  40,  42,  44,  46,  49,  51,  52,  54,  56,  58,  60,  62,  63,  65,  66,  65,  65,  64,  63,  63,  63,  62,  62,  61,  60,  58,  57,  56,  55,  54,  53,  52,  52,  53,  54,  52,  51,  51,  50,  49,  48,  47,  46,  46,  46,  46,  47,  48,  49,  49,  48,  47,  46,  45,  45,  45,  46,  46,  44,  44,  44,  43,  41,  40,  39,  38,  36,  34,  34,  33,  31,  30,  28,  25,  24,  22,  21,  20,  18,  16,  14,  12,   9,   7,   4,   1,  -3,  -5,  -9, -12, -13, -14, -16, -17, -18, -19, -20, -22, -21, -20, -22, -24, -27, -29, -31, -33, -33, -33, -34, -35, -36, -38, -40, -41, -41, -42, -43, -43, -43, -43, -43, -45, -46, -47, -50, -51, -51, -51, -49, -46, -43, -42, -44, -48, -49, -49, -48, -47, -46, -44, -44, -44, -44, -44, -43, -43, -41, -40, -37, -34, -32, -30, -28, -26, -23, -21, -18, -16, -13,  -9,  -6,  -2,   2,   3,   5,   7,   9,  11,  14,  16,  17,  18,  19,  19,  20,  21,  22,  23,  25,  26,  26,  24,  22,  24,  23,  22,  22,  20,  20,  20,  20,  20,  21,  21,  24,  25,  15,   2,   7,  10,  10,   9,   8,   6,   5,   3,   2,   1,  -2,  -4,  -0,  -6,  -3,  -2,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -1,
+  /*  49.0 */   0,   1,   1,   2,   2,   3,   4,   4,   5,   6,   6,   6,   6,   7,   7,   7,   7,   6,   6,   5,   5,   5,   4,   3,   3,   2,   1,   0,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -9, -11, -12, -13, -14, -16, -17, -18, -18, -19, -19, -20, -20, -20, -21, -21, -22, -21, -20, -17, -17, -21, -19, -17, -16, -16, -16, -16, -15, -15, -15, -14, -15, -15, -16, -16, -17, -17, -17, -18, -19, -19, -20, -21, -22, -23, -25, -27, -28, -29, -31, -32, -33, -34, -35, -36, -37, -38, -38, -39, -39, -38, -38, -39, -39, -39, -39, -38, -37, -36, -35, -34, -33, -30, -27, -27, -26, -24, -20, -19, -20, -20, -18, -16, -14, -10,  -3,   2,   5,   7,   9,  12,  15,  22,  24,  22,  23,  26,  29,  33,  35,  37,  39,  41,  43,  45,  47,  50,  52,  53,  55,  56,  58,  60,  62,  64,  65,  65,  64,  64,  64,  63,  63,  63,  62,  61,  60,  59,  58,  57,  56,  56,  58,  58,  58,  56,  55,  54,  53,  52,  51,  50,  49,  48,  47,  46,  45,  45,  45,  47,  47,  48,  48,  48,  48,  47,  46,  47,  47,  46,  46,  43,  43,  43,  43,  41,  39,  37,  33,  32,  34,  34,  33,  31,  28,  26,  23,  23,  21,  19,  17,  15,  13,  10,  10,   9,   7,   5,   1,  -3,  -5,  -7,  -9, -12, -14, -15, -16, -16, -16, -19, -21, -22, -20, -19, -22, -24, -27, -29, -31, -31, -31, -32, -33, -34, -35, -37, -38, -39, -40, -40, -40, -40, -40, -42, -44, -45, -45, -46, -47, -44, -44, -42, -41, -42, -43, -44, -46, -47, -46, -46, -45, -45, -45, -44, -43, -43, -42, -42, -41, -40, -39, -37, -34, -32, -30, -28, -25, -23, -21, -19, -16, -13, -10,  -7,  -3,   0,   3,   5,   7,   9,  11,  13,  14,  16,  16,  18,  19,  20,  20,  21,  21,  23,  24,  24,  23,  21,  22,  22,  21,  21,  20,  20,  20,  20,  21,  21,  21,  22,  25,  25,  12,   1,   4,   8,   9,   9,   8,   7,   5,   4,   2,  -1,   1,   1,  -2,   0,   0,  -0,  -0,   0,  -0,   0,   0,   0,   0,
+  /*  50.0 */  -6,  -6,  -5,  -4,  -2,  -1,   1,   2,   3,   5,   5,   7,   7,   8,   8,   9,   9,   8,   8,   8,   7,   7,   7,   6,   5,   5,   4,   3,   2,   1,  -0,  -1,  -2,  -3,  -4,  -5,  -7,  -8,  -9, -10, -12, -13, -14, -15, -16, -17, -17, -17, -18, -18, -18, -20, -20, -16, -15, -17, -17, -17, -17, -16, -16, -16, -16, -16, -15, -14, -16, -17, -18, -17, -17, -17, -17, -19, -19, -19, -20, -20, -21, -23, -24, -25, -27, -28, -29, -30, -31, -33, -34, -35, -35, -36, -38, -39, -39, -40, -40, -39, -39, -39, -40, -40, -40, -39, -38, -36, -35, -33, -31, -29, -26, -25, -24, -24, -23, -23, -21, -19, -18, -16, -13, -10,  -5,   1,   4,   8,  11,  13,  16,  22,  24,  23,  23,  26,  29,  32,  35,  38,  40,  42,  45,  47,  49,  51,  53,  54,  56,  57,  59,  61,  62,  63,  64,  64,  64,  63,  63,  63,  63,  63,  62,  61,  60,  58,  58,  57,  56,  57,  57,  59,  58,  58,  56,  55,  54,  53,  52,  50,  48,  46,  45,  45,  45,  45,  46,  47,  48,  49,  48,  48,  48,  47,  47,  47,  46,  45,  44,  44,  43,  42,  40,  37,  35,  33,  31,  32,  32,  32,  31,  29,  27,  25,  23,  21,  19,  16,  14,  12,  11,  11,  11,  10,   8,   5,   3,   0,  -5,  -7,  -8, -10, -12, -14, -15, -15, -16, -17, -20, -21, -18, -17, -19, -22, -24, -26, -28, -29, -29, -30, -31, -32, -33, -34, -35, -35, -36, -38, -39, -40, -42, -44, -45, -45, -45, -44, -43, -43, -41, -41, -40, -41, -42, -42, -45, -46, -46, -46, -45, -43, -43, -42, -42, -41, -41, -40, -40, -40, -39, -37, -34, -32, -30, -27, -25, -23, -21, -19, -16, -14, -11,  -8,  -5,  -1,   3,   5,   7,   9,  11,  12,  12,  13,  15,  17,  19,  20,  21,  21,  20,  21,  22,  23,  22,  21,  21,  22,  21,  19,  19,  19,  19,  20,  20,  21,  21,  22,  22,  24,  24,  16,   5,   2,   6,   8,   8,   8,   7,   5,   4,   3,   4,   1,   3,   2,   2,   1,   1,   1,   1,  -1,  -3,  -5,  -6,
+  /*  51.0 */  -8,  -6,  -7,  -8, -10, -11, -11, -10,  -7,  -5,  -2,   2,   5,   8,   9,  10,  10,  10,  10,  10,  10,  10,   9,   8,   7,   7,   6,   5,   4,   3,   3,   2,   1,  -0,  -1,  -3,  -3,  -5,  -6,  -8,  -9, -10, -11, -13, -14, -14, -15, -15, -16, -17, -17, -16, -15, -15, -15, -15, -14, -14, -15, -15, -16, -16, -16, -16, -14, -13, -17, -18, -19, -19, -19, -20, -20, -21, -21, -21, -21, -22, -23, -25, -27, -28, -30, -31, -31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -40, -40, -41, -42, -41, -41, -42, -42, -41, -39, -37, -36, -34, -33, -32, -29, -26, -24, -22, -21, -20, -19, -18, -17, -15, -13, -10,  -8,  -5,  -2,   3,   9,  11,  14,  16,  20,  24,  24,  25,  27,  31,  34,  36,  39,  41,  43,  45,  48,  50,  52,  53,  55,  57,  58,  59,  61,  62,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  60,  59,  58,  57,  59,  60,  58,  59,  60,  59,  58,  56,  55,  54,  54,  53,  51,  48,  46,  45,  45,  44,  45,  45,  45,  46,  47,  48,  48,  47,  46,  46,  44,  44,  43,  42,  41,  39,  38,  37,  36,  34,  31,  30,  30,  30,  30,  28,  25,  25,  25,  23,  20,  18,  16,  14,  13,  12,  11,  10,   9,   7,   6,   5,   3,  -1,  -4,  -6,  -8, -10, -11, -13, -14, -15, -17, -18, -18, -16, -16, -18, -20, -23, -24, -26, -27, -27, -28, -29, -30, -31, -32, -33, -35, -36, -38, -39, -40, -41, -42, -43, -43, -42, -42, -41, -41, -41, -40, -40, -40, -41, -42, -43, -43, -43, -43, -43, -43, -42, -40, -40, -39, -38, -38, -38, -38, -39, -37, -34, -32, -29, -27, -25, -23, -21, -19, -16, -14, -11,  -8,  -5,  -2,   2,   4,   6,   8,   9,  10,  11,  12,  14,  16,  17,  18,  20,  20,  20,  19,  20,  21,  21,  20,  19,  20,  18,  17,  17,  18,  18,  18,  19,  19,  20,  22,  23,  23,  25,  25,  20,   6,   1,   5,   7,   8,   8,   8,   6,   6,   6,   5,   4,   3,   1,  -1,  -4,  -5,  -9, -10,  -8,  -5,  -8,
+  /*  52.0 */   4,   2,   4,   5,   7,   8,   7,   6,   6,   3,   2,  -2,  -3,  -0,   2,   6,   8,  10,  11,  11,  11,  11,  11,  10,  10,   9,   9,   8,   7,   7,   6,   5,   4,   2,   1,   0,  -1,  -2,  -4,  -5,  -7,  -8,  -9, -10, -11, -12, -12, -13, -14, -13, -14, -14, -14, -14, -13, -12, -13, -14, -14, -14, -15, -15, -15, -13, -12, -15, -18, -19, -20, -20, -20, -20, -21, -22, -22, -22, -23, -24, -24, -27, -30, -31, -32, -33, -33, -33, -34, -35, -36, -37, -39, -41, -42, -43, -43, -42, -43, -43, -43, -43, -44, -43, -42, -40, -39, -36, -34, -33, -31, -30, -28, -26, -23, -20, -18, -17, -16, -15, -13, -10,  -8,  -5,  -1,   2,   4,   9,  12,  15,  17,  21,  22,  24,  26,  29,  32,  34,  36,  39,  42,  45,  47,  49,  50,  52,  54,  56,  57,  58,  60,  61,  61,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  59,  58,  57,  58,  61,  61,  60,  60,  59,  58,  58,  56,  56,  55,  54,  54,  52,  49,  48,  46,  45,  45,  44,  44,  43,  44,  44,  45,  45,  44,  44,  43,  42,  41,  40,  39,  37,  35,  33,  33,  32,  30,  29,  28,  28,  27,  26,  24,  21,  22,  23,  21,  20,  18,  16,  14,  13,  12,  11,  10,   8,   7,   7,   6,   4,   2,  -0,  -1,  -3,  -4,  -6,  -7,  -8,  -9, -12, -14, -14, -13, -13, -16, -18, -21, -23, -25, -25, -25, -26, -27, -28, -29, -30, -31, -33, -34, -36, -37, -39, -40, -41, -41, -41, -42, -43, -44, -43, -43, -42, -41, -39, -39, -40, -41, -42, -43, -41, -40, -40, -39, -38, -37, -37, -38, -38, -39, -40, -39, -36, -34, -32, -30, -27, -25, -23, -21, -19, -16, -14, -12,  -9,  -7,  -4,  -0,   2,   4,   6,   7,   8,   9,  11,  12,  14,  16,  18,  19,  19,  18,  18,  19,  20,  20,  19,  19,  18,  18,  16,  16,  17,  18,  19,  19,  20,  20,  21,  22,  23,  24,  24,  24,  12,   2,  -1,   3,   7,   8,   9,   9,   8,   6,   3,   1,  -3,  -6,  -2,   1,   5,   6,   4,   6,   6,   4,
+  /*  53.0 */   5,   2,   2,   2,   3,   3,   5,   6,   8,  10,  13,  14,  14,  10,   4,   0,   0,   2,   4,   7,   9,  10,  11,  11,  12,  11,  11,  10,   9,   8,   7,   6,   6,   5,   3,   2,   1,  -0,  -2,  -3,  -5,  -6,  -7,  -8,  -9,  -9, -11, -12,  -9, -11, -12, -12, -13, -12, -11, -12, -12, -13, -13, -14, -14, -15, -14, -15, -16, -18, -20, -21, -22, -22, -22, -22, -22, -23, -24, -24, -25, -26, -27, -28, -30, -32, -33, -34, -34, -35, -36, -38, -39, -40, -41, -42, -43, -44, -45, -45, -45, -45, -45, -45, -45, -44, -43, -41, -39, -37, -34, -32, -30, -29, -27, -25, -23, -22, -19, -18, -16, -15, -14, -10,  -7,  -3,  -0,   4,   7,  10,  13,  15,  19,  21,  23,  25,  28,  31,  34,  36,  39,  41,  44,  45,  47,  50,  51,  54,  56,  58,  59,  59,  60,  60,  60,  60,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  59,  59,  60,  61,  60,  61,  60,  59,  58,  57,  56,  56,  55,  55,  53,  51,  49,  46,  45,  44,  43,  42,  42,  42,  41,  41,  41,  41,  41,  40,  39,  37,  36,  34,  33,  31,  30,  31,  30,  29,  28,  28,  27,  26,  24,  22,  20,  19,  19,  18,  17,  17,  16,  14,  12,  11,  10,   9,   8,   8,   7,   5,   5,   4,   3,   1,   0,  -1,  -2,  -3,  -4,  -6,  -9, -11, -12, -11, -12, -15, -17, -19, -20, -23, -24, -24, -25, -26, -27, -28, -29, -30, -32, -33, -35, -37, -38, -39, -39, -40, -40, -40, -41, -41, -42, -41, -40, -39, -39, -40, -41, -41, -40, -40, -40, -39, -38, -37, -36, -36, -37, -38, -38, -37, -36, -35, -35, -34, -31, -29, -27, -25, -23, -20, -19, -17, -15, -12, -10,  -8,  -6,  -4,  -2,   0,   2,   5,   6,   8,   9,  11,  13,  15,  17,  18,  18,  17,  18,  18,  18,  19,  19,  18,  18,  17,  16,  16,  17,  18,  18,  18,  19,  20,  21,  21,  23,  23,  24,  24,  21,  17,   5,  -3,   1,   8,  10,   9,   5,   1,  -3,  -0,   3,   5,   7,   5,   2,   2,   1,   1,   2,   5,
+  /*  54.0 */   5,  -0,   2,   3,   4,   4,   5,   6,   7,   8,  10,  11,  13,  15,  18,  18,  16,  13,   8,   7,   8,   8,   8,   8,   9,  10,  11,  11,  11,  10,  11,  10,   9,   7,   5,   4,   3,   1,   0,  -1,  -2,  -3,  -4,  -5,  -6,  -8,  -9,  -6,  -8,  -9,  -9, -10, -10, -10, -11, -12, -12, -13, -14, -14, -14, -15, -15, -16, -18, -19, -20, -22, -23, -23, -24, -25, -25, -26, -26, -26, -27, -29, -30, -30, -31, -32, -34, -36, -37, -38, -39, -39, -40, -42, -43, -44, -45, -46, -46, -46, -45, -45, -45, -44, -44, -43, -42, -41, -39, -37, -35, -32, -31, -29, -27, -24, -23, -21, -20, -18, -18, -16, -15, -13,  -9,  -5,  -1,   2,   6,  11,  14,  16,  18,  21,  24,  27,  30,  32,  35,  38,  40,  42,  44,  47,  49,  51,  53,  55,  58,  59,  60,  60,  60,  60,  60,  61,  61,  61,  61,  61,  61,  60,  60,  60,  61,  61,  61,  60,  59,  58,  58,  58,  59,  59,  59,  58,  58,  57,  56,  55,  54,  53,  51,  48,  46,  44,  43,  41,  41,  41,  40,  40,  39,  39,  40,  39,  39,  37,  36,  35,  34,  32,  30,  29,  29,  29,  28,  28,  27,  26,  25,  24,  23,  21,  20,  18,  17,  17,  16,  16,  15,  13,  11,  10,   9,   9,   8,   7,   7,   6,   5,   4,   3,   2,   0,   0,  -1,  -3,  -5,  -8, -10, -11, -10, -10, -12, -14, -17, -18, -20, -22, -23, -24, -26, -27, -27, -28, -30, -31, -33, -34, -36, -37, -38, -38, -39, -39, -39, -39, -40, -39, -39, -40, -38, -36, -37, -39, -40, -39, -39, -38, -37, -36, -36, -37, -39, -40, -39, -38, -36, -34, -34, -33, -32, -33, -31, -27, -24, -22, -21, -19, -17, -15, -13, -11,  -9,  -8,  -6,  -4,  -2,   1,   4,   5,   7,   8,  10,  12,  13,  14,  16,  17,  16,  16,  17,  17,  18,  17,  16,  17,  17,  15,  16,  17,  18,  18,  19,  19,  20,  20,  20,  22,  22,  24,  25,  24,  22,  14,   5,  -1,   4,   6,   2,   0,   2,   4,   4,   3,   2,   2,   2,   3,   3,   2,   2,   4,   5,
+  /*  55.0 */  -1,   1,   2,   3,   4,   5,   5,   6,   6,   7,   9,  10,  12,  14,  14,  16,  17,  17,  17,  18,  17,  16,  14,  13,  12,  10,   9,  10,  12,  12,  11,   9,   8,   7,   7,   6,   5,   3,   2,   1,   0,  -1,  -2,  -3,  -5,  -7,  -4,  -4,  -5,  -6,  -7,  -8,  -8,  -9,  -9, -10, -11, -12, -12, -14, -15, -16, -17, -17, -18, -19, -20, -22, -23, -24, -25, -26, -27, -28, -28, -29, -29, -31, -31, -32, -33, -34, -35, -37, -39, -40, -41, -42, -42, -43, -45, -46, -46, -47, -47, -46, -45, -45, -45, -44, -44, -44, -43, -41, -39, -37, -35, -33, -31, -29, -26, -24, -23, -20, -17, -16, -15, -13, -12, -11,  -8,  -4,  -1,   3,   8,  13,  15,  16,  18,  22,  25,  28,  31,  34,  37,  39,  41,  43,  45,  47,  50,  52,  54,  56,  58,  60,  60,  60,  60,  60,  60,  60,  61,  61,  61,  61,  61,  60,  60,  60,  61,  62,  62,  60,  58,  58,  57,  56,  56,  56,  58,  58,  58,  57,  56,  55,  54,  53,  51,  48,  46,  44,  43,  42,  42,  41,  41,  40,  41,  40,  40,  39,  37,  36,  34,  34,  33,  31,  29,  28,  27,  26,  25,  25,  25,  24,  23,  22,  21,  20,  19,  19,  17,  17,  16,  16,  15,  15,  14,  12,  11,  10,   9,   7,   6,   6,   6,   5,   4,   3,   2,   1,  -0,  -2,  -4,  -6,  -8, -10,  -9,  -9, -10, -12, -14, -17, -18, -20, -22, -23, -24, -25, -26, -27, -29, -30, -32, -33, -34, -35, -35, -36, -36, -36, -36, -37, -37, -37, -38, -37, -35, -36, -38, -38, -38, -38, -37, -38, -38, -38, -38, -40, -40, -40, -39, -37, -35, -34, -33, -32, -32, -32, -30, -26, -25, -23, -20, -18, -17, -15, -13, -11,  -9,  -8,  -6,  -4,  -2,   0,   2,   4,   5,   7,   9,  12,  13,  14,  14,  15,  15,  15,  16,  16,  16,  15,  16,  16,  16,  16,  17,  18,  18,  19,  19,  20,  20,  20,  20,  21,  21,  24,  25,  23,  22,  20,  14,   1,  -1,   1,   8,  14,   9,   7,   5,   2,   2,   2,  -0,  -2,   1,   4,   4,   2,  -1,
+  /*  56.0 */   2,   2,   3,   3,   3,   3,   3,   4,   5,   8,  10,  12,  13,  13,  14,  14,  15,  15,  15,  16,  17,  16,  14,  13,  12,  13,  14,  11,   7,   6,   7,   8,   9,   9,   8,   8,   6,   6,   5,   3,   2,   1,  -1,  -2,  -4,  -1,  -0,  -1,  -2,  -2,  -3,  -6,  -7,  -7,  -8,  -8, -10, -11, -13, -14, -15, -16, -17, -18, -19, -20, -21, -23, -24, -25, -27, -28, -29, -29, -29, -30, -31, -31, -32, -33, -34, -35, -37, -38, -40, -41, -42, -43, -44, -45, -46, -48, -47, -48, -48, -48, -47, -47, -46, -45, -44, -44, -43, -41, -39, -37, -35, -33, -31, -29, -27, -26, -25, -21, -17, -15, -13, -11, -10,  -9,  -6,  -0,   5,   6,   8,  11,  14,  17,  20,  23,  26,  28,  31,  34,  37,  39,  41,  43,  45,  47,  49,  52,  54,  56,  58,  60,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  62,  63,  63,  61,  61,  61,  61,  62,  62,  60,  58,  57,  55,  56,  57,  58,  58,  57,  56,  55,  54,  52,  50,  48,  47,  45,  45,  44,  43,  42,  42,  41,  41,  40,  39,  38,  37,  36,  35,  33,  32,  30,  28,  26,  25,  25,  24,  23,  23,  22,  21,  21,  20,  19,  19,  17,  17,  17,  17,  16,  15,  15,  14,  13,  12,  10,   9,   8,   8,   7,   6,   6,   5,   4,   3,   1,  -1,  -2,  -5,  -6,  -7,  -7,  -7,  -8,  -8, -10, -13, -16, -18, -19, -20, -22, -23, -24, -25, -27, -28, -30, -31, -31, -32, -34, -34, -35, -35, -35, -35, -36, -36, -36, -36, -36, -37, -38, -38, -38, -38, -39, -39, -39, -40, -41, -41, -41, -40, -39, -38, -37, -36, -34, -34, -33, -32, -29, -28, -27, -26, -24, -22, -20, -18, -15, -11, -10,  -9,  -8,  -7,  -4,  -2,  -0,   2,   4,   6,   8,  10,  11,  12,  13,  13,  14,  15,  15,  15,  15,  14,  14,  15,  15,  16,  17,  18,  18,  18,  19,  19,  19,  18,  18,  18,  20,  21,  22,  24,  23,  21,  19,  15,  11,   7,   8,   9,   8,   8,   7,   6,   4,   2,   3,   1,   1,  -0,  -0,  -0,   1,   2,
+  /*  57.0 */   2,   2,   2,   3,   3,   2,   5,  10,  11,  11,  12,  12,  12,  13,  13,  14,  15,  15,  15,  15,  14,  15,  16,  15,  12,  12,  13,  14,  15,  14,  11,   8,   7,   8,   8,   8,   7,   6,   5,   4,   3,   1,   0,  -1,   1,   2,   1,   1,   1,   1,  -2,  -3,  -4,  -5,  -6,  -8,  -8, -10, -12, -13, -14, -15, -17, -19, -20, -22, -22, -23, -25, -26, -28, -29, -29, -30, -30, -31, -32, -33, -34, -35, -36, -38, -39, -41, -42, -43, -45, -46, -47, -47, -48, -48, -49, -49, -48, -48, -48, -48, -47, -45, -44, -44, -42, -41, -39, -37, -35, -33, -31, -29, -28, -27, -23, -20, -16, -13, -11, -10,  -9,  -7,  -1,   4,   6,   8,  11,  13,  16,  18,  21,  24,  27,  29,  32,  34,  37,  39,  42,  44,  46,  47,  49,  51,  53,  55,  57,  60,  61,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  62,  62,  61,  60,  60,  60,  60,  60,  60,  57,  55,  56,  56,  58,  58,  57,  56,  55,  54,  52,  50,  48,  47,  46,  46,  44,  43,  43,  42,  41,  40,  39,  38,  38,  37,  36,  34,  32,  30,  28,  27,  25,  23,  22,  22,  21,  20,  21,  21,  20,  19,  19,  18,  16,  16,  17,  16,  14,  13,  13,  13,  13,  12,  11,   9,   9,   8,   9,   8,   7,   6,   5,   4,   2,   0,  -1,  -3,  -5,  -5,  -5,  -6,  -6,  -7, -10, -12, -14, -16, -18, -19, -21, -22, -23, -25, -26, -28, -29, -29, -30, -31, -32, -33, -34, -34, -34, -35, -35, -36, -36, -36, -37, -38, -38, -38, -39, -39, -39, -39, -40, -41, -40, -40, -40, -39, -38, -37, -36, -35, -35, -34, -34, -33, -30, -27, -24, -24, -23, -21, -19, -17, -15, -13, -12, -10, -10,  -8,  -5,  -4,  -2,   1,   4,   6,   7,   9,  10,  11,  11,  12,  12,  14,  15,  15,  15,  14,  14,  14,  15,  15,  16,  17,  17,  18,  18,  18,  17,  17,  16,  17,  18,  19,  20,  21,  21,  20,  19,  18,  15,  11,  10,  10,   9,   8,   7,   6,   5,   3,   2,   2,   2,   1,   1,   1,   2,   2,
+  /*  58.0 */   2,   1,   1,   2,   4,   4,   7,   9,   9,  10,  11,  11,  12,  12,  13,  14,  14,  14,  15,  15,  15,  15,  15,  15,  16,  15,  13,  13,  12,  13,  14,  13,  10,   6,   6,   7,   7,   7,   5,   4,   3,   3,   2,   3,   4,   3,   2,   3,   2,   1,  -0,  -1,  -2,  -4,  -5,  -6,  -9, -12, -13, -15, -15, -17, -19, -20, -21, -23, -24, -24, -26, -28, -29, -30, -31, -32, -32, -33, -34, -35, -36, -37, -38, -40, -41, -43, -44, -45, -46, -47, -48, -48, -48, -49, -49, -48, -48, -48, -47, -47, -46, -45, -44, -42, -41, -38, -37, -35, -33, -32, -30, -28, -28, -26, -22, -19, -16, -12,  -9,  -8,  -7,  -3,   3,   5,   6,   9,  11,  14,  17,  19,  22,  25,  27,  30,  32,  35,  38,  40,  42,  43,  45,  47,  49,  51,  52,  54,  56,  58,  60,  62,  63,  63,  63,  63,  63,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  57,  56,  56,  56,  58,  57,  57,  56,  55,  53,  50,  49,  49,  48,  47,  46,  45,  44,  43,  42,  42,  41,  39,  38,  37,  36,  34,  33,  31,  29,  27,  25,  22,  21,  20,  20,  20,  19,  19,  20,  19,  18,  17,  16,  15,  16,  15,  15,  15,  14,  14,  14,  13,  12,  11,  11,  10,   9,   9,   9,   8,   7,   6,   5,   4,   2,   1,  -1,  -2,  -3,  -3,  -4,  -5,  -5,  -8, -11, -13, -15, -16, -18, -20, -21, -22, -24, -25, -26, -27, -28, -29, -30, -30, -32, -33, -33, -34, -34, -35, -36, -36, -35, -35, -36, -37, -37, -38, -38, -37, -36, -38, -39, -40, -40, -40, -39, -37, -36, -35, -34, -34, -34, -33, -33, -32, -29, -27, -24, -22, -20, -19, -17, -16, -16, -14, -13, -11,  -9,  -7,  -5,  -2,   1,   2,   4,   6,   7,   8,  10,  10,  10,  11,  11,  12,  14,  15,  14,  13,  13,  13,  13,  14,  15,  15,  16,  16,  17,  17,  16,  16,  17,  16,  17,  19,  19,  18,  18,  19,  17,  15,  13,  10,  10,   9,   7,   6,   7,   6,   3,   2,   2,   1,   1,   1,   1,   1,   2,
+  /*  59.0 */   1,   1,   4,   6,   6,   7,   8,   8,   9,   9,  10,  11,  11,  12,  12,  13,  13,  14,  15,  15,  15,  15,  15,  15,  15,  15,  14,  12,  11,  10,  11,  13,  12,  11,   8,   7,   6,   6,   7,   8,   7,   5,   7,   9,   6,   5,   5,   3,   2,   2,   0,  -1,  -3,  -4,  -5,  -8, -11, -12, -13, -15, -17, -18, -19, -20, -20, -21, -24, -27, -29, -30, -31, -32, -33, -33, -34, -35, -35, -36, -38, -40, -41, -42, -43, -45, -46, -48, -49, -49, -49, -49, -48, -48, -48, -48, -48, -47, -46, -46, -45, -44, -44, -42, -39, -36, -34, -33, -31, -29, -28, -27, -26, -24, -21, -18, -15, -11,  -7,  -5,  -1,   3,   5,   5,   7,  10,  13,  15,  18,  21,  23,  25,  28,  31,  34,  36,  38,  40,  43,  45,  46,  47,  49,  50,  52,  53,  55,  57,  59,  61,  62,  63,  64,  64,  63,  63,  63,  62,  62,  61,  61,  61,  60,  61,  61,  60,  59,  59,  58,  56,  56,  55,  56,  55,  55,  57,  56,  55,  54,  52,  51,  48,  47,  47,  46,  45,  44,  44,  44,  45,  44,  42,  40,  38,  35,  33,  31,  29,  28,  26,  24,  21,  19,  18,  19,  20,  20,  19,  18,  17,  17,  16,  15,  15,  15,  16,  17,  16,  15,  14,  14,  14,  13,  13,  13,  11,  10,   9,   9,   8,   7,   7,   6,   5,   4,   2,   1,   0,  -1,  -2,  -3,  -3,  -5,  -9, -10, -12, -14, -15, -17, -18, -20, -21, -22, -24, -25, -27, -28, -28, -29, -30, -31, -31, -32, -33, -33, -34, -34, -34, -35, -34, -35, -36, -37, -36, -35, -34, -34, -34, -34, -35, -36, -36, -36, -36, -36, -34, -32, -32, -32, -31, -31, -30, -29, -28, -27, -25, -23, -20, -19, -19, -19, -18, -16, -14, -11,  -8,  -6,  -5,  -3,  -1,   0,   1,   2,   4,   6,   7,   8,   9,  10,  11,  12,  13,  13,  13,  13,  13,  13,  13,  14,  14,  15,  16,  17,  18,  17,  17,  16,  16,  16,  16,  16,  17,  17,  17,  16,  14,  14,  12,  10,   7,   6,   6,   7,   5,   1,   0,   0,   0,  -0,   0,   0,   1,   1,
+  /*  60.0 */   0,   3,   5,   5,   5,   6,   7,   7,   8,   9,   9,  10,  10,  11,  12,  12,  12,  13,  13,  15,  15,  15,  15,  15,  15,  15,  14,  13,   9,  11,  13,  13,  13,  12,  12,  12,  11,  10,  11,  10,  11,  12,  11,  10,   8,   7,   5,   4,   3,   2,   0,  -1,  -3,  -4,  -5,  -7, -10, -12, -12, -14, -16, -17, -18, -20, -22, -24, -26, -28, -29, -30, -31, -32, -33, -34, -35, -36, -37, -39, -40, -41, -42, -43, -44, -46, -47, -48, -49, -50, -49, -48, -47, -46, -47, -47, -47, -45, -44, -43, -43, -42, -42, -41, -38, -35, -32, -30, -28, -27, -25, -24, -23, -21, -19, -17, -13,  -8,  -5,  -2,   1,   4,   5,   7,   9,  11,  14,  17,  19,  22,  24,  27,  29,  30,  33,  36,  39,  41,  44,  45,  48,  48,  49,  50,  51,  52,  54,  56,  58,  60,  61,  63,  64,  64,  64,  64,  64,  63,  63,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  58,  58,  57,  55,  56,  56,  55,  55,  54,  54,  53,  51,  49,  48,  47,  47,  45,  45,  45,  44,  45,  45,  42,  40,  39,  36,  33,  31,  29,  27,  25,  23,  20,  19,  19,  19,  20,  19,  18,  16,  16,  15,  15,  16,  16,  16,  16,  16,  16,  14,  12,  11,  12,  11,  11,  11,  11,  11,  10,   8,   7,   7,   7,   6,   5,   4,   3,   2,   0,  -1,  -2,  -3,  -3,  -4,  -8, -10, -11, -13, -15, -16, -17, -18, -20, -21, -23, -24, -25, -26, -26, -28, -28, -29, -30, -31, -31, -32, -32, -32, -32, -32, -32, -33, -34, -34, -33, -32, -31, -31, -33, -35, -35, -34, -34, -34, -34, -33, -33, -32, -31, -31, -31, -29, -28, -28, -28, -28, -28, -27, -26, -23, -20, -19, -18, -17, -15, -12, -10,  -8,  -6,  -4,  -3,  -2,  -1,   1,   2,   4,   4,   5,   5,   6,   9,  10,  11,  12,  13,  12,  13,  14,  14,  14,  14,  14,  15,  16,  17,  17,  17,  17,  16,  15,  14,  14,  14,  14,  15,  14,  13,  13,  13,  12,  11,   9,   8,   9,   4,  -1,  -1,  -1,  -2,  -2,  -1,  -0,   0,   0,
+  /*  61.0 */   5,   4,   4,   4,   5,   6,   6,   7,   7,   7,   8,   8,   9,  10,  11,  11,  11,  12,  12,  13,  14,  14,  14,  14,  14,  15,  15,  15,  11,   6,   8,  12,  14,  16,  17,  18,  18,  16,  15,  17,  16,  13,  12,  10,   8,   7,   6,   5,   4,   3,   1,  -0,  -1,  -2,  -3,  -5,  -8, -11, -12, -14, -16, -18, -20, -22, -24, -26, -28, -29, -30, -31, -32, -32, -33, -34, -35, -37, -38, -39, -41, -42, -43, -44, -45, -46, -48, -48, -49, -49, -49, -48, -47, -46, -46, -46, -45, -44, -43, -42, -40, -38, -37, -37, -35, -33, -31, -29, -27, -25, -24, -23, -22, -21, -20, -18, -13,  -8,  -3,  -0,   3,   6,   8,   9,  11,  13,  16,  19,  21,  23,  25,  27,  29,  31,  33,  36,  38,  42,  46,  46,  48,  49,  49,  50,  51,  52,  53,  55,  56,  58,  60,  62,  63,  64,  65,  65,  65,  64,  64,  63,  63,  62,  61,  61,  60,  60,  60,  60,  59,  60,  59,  59,  58,  58,  57,  57,  55,  53,  52,  51,  51,  51,  49,  48,  47,  46,  45,  46,  46,  46,  45,  43,  40,  38,  36,  34,  32,  31,  29,  26,  23,  21,  20,  19,  19,  19,  19,  18,  17,  15,  15,  16,  16,  16,  16,  15,  15,  14,  13,  12,  12,  12,  11,  11,  11,  11,  10,   9,   9,   8,   7,   7,   6,   5,   3,   3,   1,  -0,  -2,  -3,  -4,  -3,  -3,  -6,  -9, -10, -11, -13, -15, -17, -18, -19, -20, -21, -23, -24, -24, -25, -26, -27, -27, -28, -29, -29, -29, -29, -29, -29, -29, -29, -30, -31, -30, -30, -30, -30, -31, -32, -33, -34, -34, -34, -33, -33, -32, -31, -31, -30, -30, -30, -29, -28, -27, -26, -26, -26, -26, -26, -24, -21, -19, -19, -17, -15, -13, -11, -10,  -8,  -7,  -6,  -5,  -3,  -1,   0,   2,   3,   3,   4,   5,   8,   9,  11,  11,  12,  13,  13,  13,  14,  14,  14,  15,  15,  15,  16,  16,  16,  17,  16,  15,  14,  13,  13,  14,  14,  14,  12,  11,  12,  12,  12,  11,  10,  10,  10,   8,   5,   3,   1,  -1,  -2,  -0,   4,   5,
+  /*  62.0 */   5,   5,   4,   5,   5,   6,   6,   6,   6,   6,   7,   7,   8,   8,   9,  10,  10,  11,  11,  12,  12,  12,  12,  12,  12,  14,  16,  15,  12,  10,  11,  16,  18,  18,  17,  17,  18,  18,  17,  15,  13,  12,  11,   9,   8,   7,   6,   5,   4,   2,   2,   1,   0,  -1,  -2,  -4,  -7, -11, -13, -14, -15, -18, -20, -22, -24, -26, -28, -29, -29, -30, -31, -32, -34, -34, -35, -37, -38, -40, -42, -42, -43, -44, -45, -46, -47, -48, -48, -48, -48, -48, -47, -46, -45, -44, -44, -43, -42, -40, -39, -38, -36, -34, -33, -31, -29, -27, -25, -24, -24, -23, -21, -19, -16, -13,  -9,  -5,  -1,   2,   6,  10,   9,  10,  12,  15,  18,  20,  22,  23,  25,  29,  31,  33,  37,  42,  45,  48,  49,  47,  47,  50,  50,  50,  51,  52,  53,  54,  55,  57,  59,  60,  62,  63,  64,  65,  65,  65,  65,  64,  64,  64,  63,  62,  62,  61,  61,  60,  60,  60,  60,  60,  59,  59,  58,  57,  56,  54,  52,  50,  49,  50,  50,  49,  48,  47,  46,  45,  45,  46,  46,  45,  42,  39,  37,  35,  34,  32,  30,  27,  23,  22,  21,  19,  19,  19,  18,  18,  19,  19,  18,  18,  18,  17,  17,  16,  15,  14,  14,  14,  13,  12,  11,  12,  11,  11,  10,   9,   9,   8,   8,   7,   6,   4,   2,   1,  -0,  -1,  -1,  -2,  -3,  -3,  -3,  -6,  -9, -10, -11, -11, -13, -15, -17, -18, -19, -20, -21, -22, -22, -23, -24, -25, -25, -25, -26, -27, -27, -28, -27, -27, -27, -27, -27, -27, -28, -29, -29, -29, -29, -29, -30, -30, -31, -31, -31, -31, -31, -30, -30, -29, -29, -29, -29, -28, -27, -25, -25, -24, -24, -23, -22, -20, -19, -22, -22, -18, -14, -12, -12, -11, -10,  -9,  -8,  -6,  -5,  -3,  -1,  -0,   1,   1,   2,   4,   7,   8,   9,  11,  12,  12,  12,  12,  12,  13,  13,  14,  14,  14,  14,  14,  14,  15,  14,  14,  13,  13,  13,  13,  13,  12,  11,  11,  11,  10,  10,  11,  11,  11,  10,   8,   6,   4,   2,   3,   5,   5,   5,
+  /*  63.0 */   4,   5,   5,   4,   5,   5,   5,   5,   6,   6,   6,   7,   7,   7,   7,   8,   9,  10,  11,  11,  11,  11,  11,  12,  12,  12,  12,  14,  16,  17,  15,  15,  16,  17,  17,  17,  16,  15,  13,  12,  12,  11,  10,   8,   7,   6,   5,   4,   3,   2,   2,   1,   0,  -1,  -3,  -5,  -8, -11, -12, -14, -16, -18, -20, -22, -23, -25, -27, -27, -28, -29, -30, -31, -32, -34, -35, -36, -38, -39, -41, -42, -43, -44, -45, -45, -45, -45, -45, -45, -45, -44, -44, -43, -43, -42, -41, -41, -40, -39, -38, -37, -36, -35, -33, -32, -31, -29, -28, -26, -23, -20, -16, -13, -11,  -9,  -6,  -4,  -1,   2,   7,  10,  11,  12,  14,  16,  18,  20,  22,  25,  28,  30,  32,  37,  41,  44,  47,  49,  50,  48,  46,  48,  50,  50,  51,  52,  52,  53,  55,  56,  57,  59,  61,  62,  63,  64,  65,  65,  65,  65,  65,  65,  63,  63,  63,  62,  61,  61,  61,  62,  62,  61,  60,  60,  59,  57,  56,  54,  52,  51,  50,  50,  49,  48,  47,  47,  45,  45,  45,  45,  44,  42,  41,  40,  37,  35,  33,  32,  31,  29,  25,  22,  20,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  16,  15,  15,  15,  14,  14,  14,  13,  13,  12,  12,  11,  11,  11,   9,   9,   9,   9,   8,   6,   4,   2,   1,   1,   1,  -0,  -2,  -2,  -2,  -3,  -6,  -8, -10, -11, -11, -12, -13, -14, -16, -17, -18, -19, -20, -21, -21, -22, -23, -23, -23, -24, -24, -24, -25, -24, -25, -26, -26, -26, -27, -26, -27, -27, -27, -28, -29, -29, -29, -29, -30, -30, -30, -29, -30, -30, -29, -29, -29, -28, -26, -25, -24, -24, -23, -22, -22, -23, -22, -20, -18, -18, -17, -15, -14, -14, -13, -13, -12, -11, -11, -10,  -8,  -7,  -6,  -5,  -4,  -2,   1,   5,   7,   8,   8,   9,   9,  10,  11,  11,  11,  12,  12,  12,  12,  12,  11,  12,  13,  13,  13,  13,  13,  13,  12,  12,  11,  12,  12,  11,  10,  10,  10,   9,   9,   9,   8,   7,   7,   6,   5,   5,   5,   4,
+  /*  64.0 */   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   7,   7,   8,   9,  10,  10,  10,  10,  10,  11,  12,  12,  12,  13,  14,  14,  15,  15,  14,  13,  13,  13,  12,  12,  11,  10,  10,   9,   8,   7,   6,   5,   5,   4,   3,   2,  -0,  -3,  -6,  -8,  -9, -11, -13, -14, -16, -18, -19, -21, -22, -23, -24, -25, -27, -28, -29, -30, -32, -34, -34, -35, -37, -39, -40, -42, -43, -44, -44, -43, -43, -42, -41, -41, -40, -40, -40, -40, -39, -39, -38, -37, -37, -36, -35, -34, -34, -33, -32, -31, -29, -28, -26, -23, -20, -16, -13, -11,  -8,  -4,  -2,  -2,  -1,   1,   7,  12,  14,  15,  16,  19,  21,  22,  26,  28,  28,  29,  33,  36,  40,  43,  46,  49,  50,  50,  48,  45,  47,  50,  52,  53,  54,  54,  54,  55,  56,  58,  59,  61,  62,  63,  65,  65,  65,  66,  66,  66,  67,  67,  66,  65,  65,  64,  63,  63,  62,  61,  60,  58,  57,  55,  53,  52,  52,  52,  51,  51,  50,  49,  47,  45,  43,  42,  43,  43,  42,  41,  41,  39,  36,  34,  32,  31,  30,  30,  28,  26,  24,  21,  19,  18,  17,  18,  18,  18,  18,  18,  18,  17,  16,  16,  16,  15,  15,  15,  14,  14,  13,  13,  12,  11,  10,   9,   9,   9,   8,   7,   6,   5,   4,   2,   1,  -0,  -1,  -2,  -3,  -2,  -2,  -4,  -6,  -8, -10, -11, -12, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -21, -21, -21, -21, -22, -22, -22, -22, -23, -24, -25, -25, -25, -25, -24, -24, -25, -27, -28, -28, -28, -28, -28, -29, -29, -29, -28, -27, -26, -26, -26, -25, -24, -23, -22, -21, -20, -20, -20, -20, -20, -19, -18, -18, -18, -17, -16, -16, -15, -14, -13, -11,  -9, -10,  -9,  -6,  -3,  -0,   1,   3,   4,   5,   6,   6,   6,   7,   8,   9,   9,   9,  11,  11,  10,  10,  10,  10,  10,  10,  11,  11,  11,  12,  12,  12,  12,  12,  12,  11,  11,  11,  10,  10,   9,   9,   8,   8,   8,   7,   6,   5,   4,   4,   4,   4,
+  /*  65.0 */   5,   4,   4,   5,   5,   5,   5,   4,   4,   4,   4,   4,   5,   6,   6,   7,   7,   7,   8,   8,   9,   9,   9,   9,   9,  10,  10,  10,  10,  11,  11,  11,  11,  12,  12,  12,  12,  12,  11,  11,  11,  11,  10,   9,   9,   8,   7,   7,   5,   3,   2,  -0,  -3,  -7, -10, -11, -11, -13, -15, -16, -16, -18, -19, -20, -20, -22, -22, -24, -25, -26, -28, -29, -31, -33, -34, -34, -36, -37, -38, -39, -40, -41, -41, -41, -41, -40, -39, -38, -38, -38, -37, -37, -37, -37, -36, -35, -33, -33, -33, -33, -32, -32, -30, -28, -26, -25, -23, -21, -19, -16, -13, -11,  -8,  -6,  -5,  -2,   1,   3,   6,  12,  16,  18,  19,  20,  22,  26,  28,  27,  27,  29,  33,  37,  40,  43,  46,  48,  49,  49,  48,  45,  44,  46,  48,  51,  54,  56,  56,  56,  56,  58,  59,  59,  61,  63,  64,  64,  65,  66,  66,  67,  67,  67,  67,  67,  66,  66,  64,  63,  62,  61,  60,  58,  57,  56,  54,  53,  53,  52,  52,  51,  51,  50,  48,  46,  45,  44,  43,  41,  41,  40,  40,  39,  38,  36,  34,  32,  31,  30,  29,  27,  25,  23,  20,  19,  18,  18,  18,  18,  17,  18,  18,  17,  17,  17,  17,  17,  17,  17,  15,  13,  13,  12,  11,  10,   9,   8,   8,   7,   7,   6,   6,   5,   4,   2,   1,  -0,  -0,  -2,  -3,  -2,  -1,  -2,  -4,  -6,  -8, -10, -11, -11, -13, -13, -14, -15, -16, -17, -18, -18, -19, -19, -19, -19, -20, -21, -20, -20, -20, -21, -22, -23, -23, -23, -23, -22, -23, -25, -25, -25, -25, -25, -25, -24, -24, -25, -25, -24, -23, -22, -22, -22, -21, -20, -19, -18, -18, -17, -17, -18, -18, -18, -18, -17, -17, -17, -17, -17, -17, -16, -14, -10,  -7,  -5,  -4,  -4,  -3,  -2,  -0,   0,   1,   2,   3,   3,   4,   5,   6,   6,   7,   9,   9,   9,  10,   9,   7,   7,   8,   8,   8,   8,   9,   9,   9,  10,  10,  10,  10,  11,  11,  11,  11,  10,  10,   9,   9,   7,   7,   7,   6,   6,   5,   5,   5,   5,   5,
+  /*  66.0 */   5,   4,   4,   4,   4,   4,   3,   3,   4,   4,   4,   4,   4,   4,   5,   5,   5,   6,   6,   6,   7,   7,   7,   7,   8,   8,   9,   9,  10,  10,   9,   9,  10,  10,   9,   9,   9,   9,   9,   9,   9,   8,   7,   6,   6,   4,   2,  -0,  -2,  -4,  -5,  -6,  -7,  -7,  -9, -10, -12, -13, -15, -16, -17, -18, -19, -19, -19, -20, -21, -23, -24, -25, -27, -29, -30, -32, -33, -34, -36, -36, -37, -38, -38, -39, -39, -39, -38, -37, -37, -36, -36, -36, -36, -35, -34, -34, -34, -33, -33, -32, -31, -30, -30, -29, -28, -28, -26, -24, -23, -21, -18, -16, -13, -11,  -8,  -5,  -1,   3,   6,   8,   9,  13,  17,  19,  21,  22,  24,  27,  28,  30,  31,  32,  34,  36,  39,  42,  44,  45,  47,  48,  48,  48,  48,  49,  49,  51,  53,  55,  57,  58,  58,  59,  60,  60,  61,  61,  62,  63,  64,  65,  65,  65,  66,  66,  65,  65,  65,  64,  63,  63,  62,  60,  58,  58,  56,  54,  54,  53,  52,  52,  51,  51,  50,  49,  47,  46,  45,  44,  43,  43,  42,  41,  40,  39,  37,  35,  34,  33,  32,  31,  30,  29,  28,  25,  23,  22,  20,  20,  19,  18,  18,  18,  18,  17,  17,  18,  18,  17,  16,  15,  15,  15,  14,  13,  12,  12,  12,  10,   8,   6,   6,   7,   6,   4,   3,   2,   1,   0,  -1,  -2,  -3,  -4,  -5,  -6,  -6,  -5,  -4,  -6,  -8, -10, -11, -12, -13, -14, -16, -17, -17, -17, -17, -17, -17, -17, -18, -19, -19, -19, -18, -19, -20, -21, -22, -22, -22, -22, -23, -23, -22, -22, -22, -23, -23, -22, -22, -22, -22, -21, -21, -20, -20, -19, -18, -17, -17, -16, -16, -15, -15, -15, -16, -15, -15, -15, -15, -14, -14, -15, -15, -14, -12,  -8,  -6,  -4,  -4,  -5,  -4,  -3,  -2,  -1,  -0,   1,   2,   3,   4,   5,   5,   5,   5,   7,   8,   8,   7,   5,   4,   5,   7,   7,   7,   7,   7,   7,   8,   8,   9,   9,  10,  10,  10,  10,  10,  10,   9,   9,   8,   8,   8,   6,   6,   6,   6,   5,   5,   5,   5,
+  /*  67.0 */   5,   5,   4,   4,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   4,   4,   5,   5,   5,   6,   6,   7,   8,   8,   9,   9,   9,   9,   9,   9,   8,   7,   7,   7,   7,   7,   7,   7,   6,   5,   4,   4,   2,  -0,  -1,  -2,  -3,  -4,  -5,  -5,  -6,  -8,  -9, -10, -12, -13, -15, -16, -16, -17, -18, -19, -20, -22, -23, -25, -26, -28, -30, -31, -32, -33, -34, -35, -36, -36, -37, -37, -37, -37, -37, -36, -35, -34, -34, -33, -32, -31, -31, -32, -32, -31, -31, -30, -29, -28, -28, -27, -27, -26, -26, -24, -22, -21, -19, -16, -14, -10,  -7,  -3,   1,   6,   8,   7,   8,  11,  15,  18,  19,  21,  23,  25,  26,  26,  28,  30,  31,  33,  36,  39,  41,  43,  44,  46,  47,  48,  48,  49,  50,  53,  55,  56,  57,  57,  57,  57,  58,  58,  59,  60,  60,  60,  61,  62,  63,  63,  64,  64,  64,  64,  63,  63,  63,  62,  60,  59,  58,  57,  56,  55,  54,  53,  52,  52,  51,  51,  50,  49,  48,  48,  47,  45,  43,  43,  42,  43,  42,  41,  40,  38,  36,  33,  31,  30,  31,  31,  31,  30,  28,  26,  24,  23,  22,  20,  19,  18,  18,  18,  17,  17,  17,  17,  18,  18,  17,  16,  15,  14,  13,  12,  12,  11,   9,   8,   7,   8,   7,   6,   4,   3,   2,   1,   0,  -0,  -1,  -2,  -3,  -4,  -5,  -7,  -7,  -6,  -5,  -5,  -7,  -8, -10, -12, -13, -14, -15, -15, -15, -15, -15, -15, -16, -16, -16, -17, -17, -17, -18, -17, -18, -18, -19, -20, -20, -19, -20, -20, -20, -20, -20, -19, -19, -20, -20, -19, -18, -18, -19, -19, -18, -18, -17, -17, -16, -15, -15, -14, -14, -13, -13, -12, -12, -12, -12, -12, -13, -14, -14, -11,  -8,  -5,  -5,  -5,  -5,  -5,  -4,  -3,  -2,  -2,  -1,   0,   3,   3,   3,   3,   5,   6,   5,   2,   2,   4,   5,   5,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   8,   8,   8,   8,   8,   9,   9,   8,   8,   8,   7,   7,   6,   6,   6,   6,   6,   6,   5,
+  /*  68.0 */   5,   4,   4,   3,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   3,   4,   4,   4,   4,   4,   5,   6,   8,   8,   7,   7,   8,   9,   9,   9,   9,   8,   8,   8,   7,   7,   6,   5,   4,   3,   2,   0,  -2,  -2,  -2,  -2,  -3,  -5,  -6,  -6,  -7,  -8,  -8,  -9, -10, -10, -11, -12, -15, -17, -18, -19, -21, -23, -25, -26, -28, -29, -30, -31, -32, -32, -33, -33, -34, -35, -35, -35, -35, -35, -35, -34, -34, -33, -32, -30, -30, -30, -30, -31, -31, -30, -28, -26, -26, -26, -26, -25, -24, -23, -22, -21, -19, -17, -14, -12,  -9,  -5,  -2,   0,   2,   3,   6,   9,  12,  14,  17,  19,  22,  24,  25,  25,  25,  25,  26,  27,  29,  32,  34,  36,  38,  40,  42,  43,  45,  46,  47,  48,  49,  51,  54,  56,  56,  56,  56,  57,  58,  59,  59,  59,  59,  60,  59,  59,  60,  61,  61,  62,  62,  62,  62,  61,  61,  60,  59,  59,  58,  57,  56,  55,  54,  52,  51,  51,  51,  50,  49,  49,  48,  48,  48,  47,  45,  44,  42,  41,  41,  41,  41,  41,  39,  36,  32,  30,  30,  31,  32,  31,  29,  28,  27,  25,  24,  23,  22,  21,  20,  19,  18,  18,  18,  18,  18,  17,  16,  15,  14,  13,  11,  11,  11,  10,  10,   9,   9,   8,   6,   5,   4,   3,   2,   1,  -0,  -1,  -1,  -2,  -3,  -3,  -4,  -5,  -6,  -7,  -7,  -6,  -6,  -7,  -9, -11, -12, -13, -14, -14, -14, -14, -14, -14, -14, -15, -15, -15, -16, -16, -16, -15, -16, -17, -17, -18, -18, -17, -17, -16, -16, -16, -17, -16, -16, -16, -17, -16, -16, -16, -16, -17, -16, -17, -16, -16, -15, -15, -15, -14, -13, -12, -12, -11, -11, -11, -11, -12, -14, -15, -16, -14, -10,  -7,  -5,  -5,  -5,  -5,  -4,  -4,  -3,  -2,  -1,   1,   1,   1,   2,   1,   0,   1,   2,   3,   3,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   7,   7,   7,   8,   8,   8,   8,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,
+  /*  69.0 */   4,   3,   3,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   3,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   5,   6,   7,   7,   7,   7,   5,   4,   3,   1,  -2,  -4,  -5,  -6,  -6,  -6,  -6,  -6,  -7,  -8,  -8,  -9,  -9,  -9,  -8,  -8,  -9, -11, -12, -14, -15, -17, -18, -19, -20, -21, -22, -23, -26, -28, -30, -30, -31, -31, -32, -31, -31, -31, -32, -32, -32, -32, -31, -31, -30, -29, -28, -28, -28, -28, -28, -28, -27, -25, -24, -23, -24, -23, -22, -21, -21, -19, -17, -14, -11,  -9,  -6,  -4,  -2,  -0,   1,   1,   4,   9,  13,  15,  16,  18,  21,  24,  25,  26,  27,  26,  24,  23,  24,  26,  29,  31,  34,  36,  38,  39,  41,  42,  44,  45,  47,  48,  50,  51,  53,  55,  54,  55,  57,  59,  59,  60,  61,  61,  60,  59,  59,  59,  59,  59,  60,  60,  61,  61,  60,  60,  60,  59,  58,  58,  57,  56,  54,  52,  52,  51,  51,  50,  49,  49,  49,  48,  47,  47,  46,  45,  44,  43,  43,  41,  40,  39,  39,  39,  38,  37,  35,  33,  32,  31,  31,  30,  29,  28,  27,  26,  25,  24,  22,  21,  20,  19,  18,  17,  17,  16,  15,  14,  13,  13,  12,  11,  10,  10,   9,   8,   8,   7,   6,   4,   4,   3,   2,   1,   0,  -0,  -1,  -2,  -3,  -3,  -4,  -5,  -5,  -5,  -6,  -7,  -7,  -8,  -8,  -9, -10, -11, -11, -12, -12, -12, -12, -12, -13, -13, -13, -14, -14, -14, -15, -15, -15, -14, -14, -15, -16, -16, -15, -15, -15, -14, -14, -15, -15, -16, -17, -17, -16, -16, -15, -15, -15, -15, -14, -14, -13, -13, -12, -12, -12, -12, -12, -12, -11, -10, -10, -10, -12, -13, -14, -14, -13, -11,  -7,  -5,  -5,  -6,  -5,  -4,  -4,  -3,  -2,  -2,  -1,   0,   0,   0,   0,   1,   1,   1,   2,   2,   3,   3,   4,   4,   3,   3,   3,   4,   4,   4,   4,   4,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,
+  /*  70.0 */   3,   2,   2,   2,   1,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,  -0,  -0,  -1,  -1,  -2,  -2,  -2,  -1,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -5,  -6,  -7,  -7,  -8,  -9,  -9, -10, -11, -11, -12, -13, -13, -14, -15, -17, -18, -18, -18, -18, -18, -19, -20, -22, -25, -27, -28, -28, -28, -28, -29, -29, -28, -28, -28, -28, -28, -27, -27, -26, -25, -25, -25, -26, -26, -26, -25, -25, -24, -22, -21, -21, -20, -20, -18, -17, -15, -13, -11,  -8,  -5,  -2,  -1,   1,   3,   4,   4,   5,   7,  10,  14,  16,  19,  21,  23,  24,  26,  27,  28,  28,  27,  26,  26,  27,  30,  32,  35,  36,  38,  39,  40,  42,  43,  44,  46,  47,  48,  50,  52,  54,  55,  55,  56,  57,  57,  57,  56,  57,  58,  58,  57,  56,  57,  58,  60,  59,  59,  59,  59,  59,  59,  59,  58,  57,  56,  55,  54,  52,  51,  51,  51,  51,  50,  50,  49,  48,  47,  47,  46,  45,  45,  44,  43,  43,  42,  41,  40,  39,  39,  38,  37,  35,  33,  31,  30,  28,  28,  27,  25,  24,  25,  24,  23,  21,  20,  19,  18,  17,  16,  15,  14,  14,  13,  12,  11,  10,  10,   9,   8,   7,   6,   6,   5,   4,   3,   2,   2,   1,  -0,  -1,  -2,  -2,  -2,  -2,  -3,  -4,  -5,  -6,  -7,  -7,  -8,  -8,  -9,  -9,  -9, -10, -10, -10, -10, -10, -11, -11, -11, -12, -13, -13, -14, -14, -14, -14, -15, -14, -14, -13, -13, -13, -12, -12, -13, -14, -14, -15, -15, -15, -15, -15, -15, -15, -14, -13, -12, -11, -10,  -9,  -9, -10, -11, -11, -11, -11, -11, -11, -10, -10,  -9,  -8,  -9,  -9,  -9, -10, -10, -10,  -9,  -7,  -6,  -6,  -6,  -5,  -4,  -3,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,
+  /*  71.0 */   3,   2,   2,   1,   1,   1,   1,   1,   1,   1,   2,   1,   1,   1,   0,  -0,  -0,  -0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -2,  -2,  -2,  -3,  -3,  -4,  -4,  -4,  -4,  -3,  -2,  -3,  -4,  -5,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -3,  -4,  -5,  -7,  -9, -10, -11, -12, -12, -13, -13, -14, -15, -15, -15, -16, -16, -17, -17, -17, -18, -19, -21, -23, -24, -25, -25, -25, -25, -25, -26, -26, -25, -24, -23, -23, -22, -21, -20, -19, -20, -21, -21, -21, -20, -20, -19, -18, -18, -17, -16, -15, -13, -12, -10,  -8,  -6,  -4,  -2,  -0,   1,   2,   3,   3,   5,   8,  10,  12,  14,  16,  17,  19,  22,  24,  26,  26,  27,  28,  29,  28,  28,  28,  30,  32,  34,  36,  37,  38,  39,  40,  41,  42,  43,  45,  46,  47,  49,  50,  51,  52,  53,  53,  54,  55,  54,  54,  54,  54,  53,  53,  55,  56,  56,  57,  57,  56,  57,  57,  57,  57,  58,  57,  57,  56,  56,  55,  54,  54,  53,  53,  52,  52,  51,  50,  49,  48,  47,  46,  46,  45,  44,  44,  43,  42,  42,  41,  40,  40,  39,  37,  35,  33,  31,  29,  28,  28,  27,  25,  24,  23,  22,  21,  20,  19,  17,  17,  16,  16,  15,  15,  13,  12,  11,  10,   9,   9,   8,   8,   8,   7,   6,   5,   3,   3,   2,   2,   1,   1,   0,  -1,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -9,  -9, -10, -10, -10, -10,  -9,  -9, -10, -11, -11, -12, -12, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -15, -15, -15, -14, -14, -13, -13, -12, -12, -12, -13, -13, -12, -11, -10,  -9,  -9,  -9, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -0,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   3,   3,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   3,   3,   3,   2,   2,   3,
+  /*  72.0 */   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,  -0,  -0,  -0,   0,   0,   1,   0,   0,  -0,  -1,  -1,  -2,  -2,  -3,  -3,  -4,  -6,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -7,  -6,  -5,  -4,  -5,  -7, -10, -11, -10, -10, -10,  -9, -10, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -21, -22, -22, -22, -22, -23, -23, -22, -21, -20, -19, -18, -18, -18, -17, -16, -17, -17, -17, -16, -15, -14, -13, -13, -12, -11, -10,  -9,  -8,  -8,  -6,  -4,  -1,   1,   1,   2,   4,   7,   9,  10,  11,  12,  13,  14,  16,  17,  19,  21,  23,  25,  26,  26,  25,  26,  27,  28,  30,  32,  34,  35,  36,  37,  37,  38,  39,  39,  40,  41,  42,  43,  44,  46,  47,  48,  49,  49,  50,  50,  51,  51,  51,  51,  53,  54,  53,  53,  53,  53,  54,  55,  55,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  51,  51,  50,  49,  49,  48,  47,  46,  45,  44,  43,  42,  42,  41,  41,  41,  40,  38,  36,  34,  33,  31,  29,  27,  26,  24,  23,  22,  21,  20,  19,  18,  18,  17,  16,  15,  15,  14,  13,  12,  11,  10,   9,   8,   8,   7,   7,   6,   6,   5,   4,   3,   3,   2,   2,   2,   1,  -1,  -2,  -2,  -3,  -3,  -4,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -9, -10, -11, -11, -11, -11, -12, -12, -12, -13, -13, -13, -13, -13, -13, -14, -14, -14, -13, -13, -13, -13, -12, -13, -14, -14, -13, -12, -12, -11, -10, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   2,   2,
+  /*  73.0 */   2,   2,   2,   1,   1,   0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -1,  -1,  -1,  -1,  -2,  -3,  -4,  -5,  -6,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -9,  -9,  -9,  -9,  -9,  -8,  -7,  -7,  -7,  -8, -10, -10, -10, -10,  -9,  -9,  -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -20, -20, -20, -20, -20, -21, -20, -19, -18, -17, -16, -15, -15, -14, -13, -12, -12, -12, -12, -12, -11, -11, -11, -11, -10,  -8,  -6,  -5,  -5,  -3,  -1,   2,   3,   4,   6,   9,  12,  13,  13,  14,  14,  14,  15,  16,  17,  19,  22,  24,  22,  20,  20,  21,  22,  23,  24,  26,  29,  31,  32,  34,  36,  37,  37,  37,  37,  38,  39,  40,  41,  42,  42,  43,  45,  46,  47,  48,  48,  49,  49,  49,  48,  48,  49,  50,  50,  49,  50,  51,  51,  51,  52,  53,  53,  52,  51,  51,  50,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  49,  49,  49,  49,  49,  48,  48,  47,  46,  46,  45,  44,  43,  43,  42,  42,  41,  40,  37,  35,  33,  31,  30,  29,  28,  26,  24,  23,  22,  21,  20,  19,  18,  17,  17,  16,  16,  15,  14,  14,  13,  12,  10,  10,   9,   8,   7,   7,   6,   5,   4,   3,   3,   2,   2,   2,   2,   2,   1,  -0,  -2,  -2,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -8,  -8,  -9,  -9,  -9,  -9,  -9, -10, -10, -11, -11, -12, -12, -12, -11, -11, -11, -11, -11, -12, -13, -13, -13, -12, -12, -12, -12, -13, -13, -13, -12, -11, -11, -11, -10, -10, -10, -10,  -9,  -9,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -1,  -1,  -1,  -1,  -0,  -0,  -0,  -0,   0,   0,   1,   1,   1,   1,   1,   2,   2,   2,   2,   1,   1,   2,   2,   1,   1,   1,   1,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,
+  /*  74.0 */   1,   1,   2,   2,   1,   1,   1,   1,   2,   2,   2,   3,   2,   2,   1,   1,   0,   0,  -0,  -1,  -3,  -4,  -5,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -5,  -4,  -4,  -5,  -6,  -7,  -7,  -8,  -9,  -9,  -9, -10, -10, -10,  -9,  -9,  -7,  -6,  -5,  -5,  -7,  -9,  -9,  -9,  -9, -10, -10, -11, -12, -12, -13, -14, -15, -15, -15, -16, -16, -17, -17, -17, -17, -17, -17, -17, -16, -16, -15, -14, -13, -12, -12, -12, -11, -10, -10, -10, -10, -10, -10,  -9,  -8,  -8,  -7,  -6,  -5,  -4,  -3,  -1,   1,   3,   6,   8,  11,  13,  14,  15,  15,  16,  16,  16,  17,  18,  20,  21,  20,  19,  18,  18,  20,  21,  22,  24,  25,  27,  29,  30,  32,  33,  34,  34,  35,  35,  36,  37,  37,  38,  38,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  47,  47,  47,  47,  47,  48,  48,  48,  48,  48,  49,  49,  50,  50,  51,  50,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  46,  45,  45,  45,  45,  45,  45,  44,  43,  43,  42,  41,  40,  39,  39,  38,  36,  35,  33,  31,  29,  28,  26,  25,  24,  23,  22,  21,  20,  19,  19,  18,  17,  16,  15,  15,  14,  13,  12,  11,  10,   9,   9,   8,   7,   7,   6,   5,   4,   4,   3,   3,   2,   2,   2,   2,   1,   0,  -1,  -2,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -5,  -5,  -5,  -5,  -6,  -6,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -9,  -9,  -9,  -9, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -10, -11, -11, -11, -10, -10,  -9,  -9,  -9,  -8,  -8,  -7,  -7,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -0,   0,   1,   0,   0,   0,   1,   1,   1,   1,   2,   3,   3,   3,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
+  /*  75.0 */   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   2,   2,   1,   1,   0,  -0,  -1,  -1,  -2,  -2,  -2,  -3,  -4,  -4,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -5,  -6,  -6,  -7,  -7,  -8,  -8,  -9,  -9,  -9,  -9,  -8,  -7,  -6,  -4,  -3,  -4,  -6,  -8, -10, -10, -11, -11, -11, -12, -12, -12, -12, -11, -11, -12, -12, -12, -13, -13, -14, -14, -14, -14, -14, -14, -13, -12, -12, -11, -10,  -9,  -9,  -8,  -7,  -7,  -7,  -6,  -5,  -4,  -3,  -2,  -1,   1,   2,   4,   6,   7,   7,   6,   5,   7,   9,  12,  14,  15,  16,  17,  18,  18,  19,  19,  19,  19,  18,  18,  17,  17,  18,  19,  20,  21,  22,  23,  25,  27,  28,  30,  31,  32,  32,  33,  33,  34,  35,  36,  36,  36,  37,  37,  38,  38,  39,  40,  41,  42,  42,  43,  44,  45,  46,  46,  45,  45,  46,  47,  47,  47,  45,  44,  44,  44,  45,  45,  46,  47,  47,  47,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  43,  42,  42,  41,  41,  40,  40,  40,  40,  40,  37,  35,  33,  31,  30,  29,  28,  27,  26,  24,  23,  22,  21,  21,  20,  19,  18,  18,  17,  16,  15,  14,  13,  12,  11,  10,   9,   9,   8,   7,   7,   6,   5,   4,   4,   3,   3,   2,   2,   2,   3,   3,   2,   1,  -1,  -2,  -2,  -3,  -3,  -4,  -4,  -4,  -4,  -5,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -8,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -9,  -8,  -7,  -7,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   1,   1,   2,   2,   2,   2,   2,   2,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
+  /*  76.0 */   2,   2,   2,   1,  -0,  -1,  -0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -2,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -7,  -6,  -5,  -5,  -5,  -5,  -5,  -6,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -9, -10, -10, -10, -10, -10, -10, -10,  -9,  -9,  -8,  -8,  -7,  -7,  -6,  -6,  -6,  -5,  -5,  -4,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -0,   1,   2,   3,   4,   5,   6,   8,  10,  11,  12,  13,  14,  14,  15,  15,  16,  16,  17,  17,  17,  18,  19,  19,  20,  21,  21,  22,  24,  25,  27,  28,  29,  30,  31,  31,  32,  32,  32,  33,  33,  34,  35,  36,  37,  38,  38,  39,  40,  41,  41,  42,  43,  44,  45,  46,  47,  47,  46,  44,  42,  40,  39,  38,  38,  38,  38,  38,  38,  39,  41,  42,  42,  43,  43,  44,  45,  44,  44,  43,  43,  43,  42,  42,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  41,  41,  40,  39,  40,  40,  39,  37,  34,  32,  31,  30,  30,  29,  28,  27,  26,  25,  24,  23,  22,  21,  20,  19,  18,  18,  17,  16,  15,  14,  13,  12,  11,  11,  10,  10,   9,   8,   8,   7,   7,   6,   5,   5,   5,   4,   4,   3,   3,   2,   2,   2,   2,   2,   1,   1,  -0,  -1,  -1,  -2,  -3,  -3,  -4,  -4,  -5,  -5,  -5,  -6,  -6,  -7,  -7,  -7,  -6,  -6,  -6,  -7,  -7,  -8,  -8,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -6,  -6,  -5,  -5,  -4,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,  -0,  -0,  -0,  -0,  -1,  -0,   0,   1,   1,   1,   0,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   1,   1,   2,
+  /*  77.0 */   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   3,   2,   2,   1,   1,   0,  -0,  -1,  -1,  -1,  -1,  -2,  -2,  -3,  -3,  -2,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -6,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -6,  -6,  -6,  -5,  -4,  -3,  -3,  -3,  -3,  -4,  -5,  -5,  -5,  -5,  -5,  -6,  -6,  -6,  -7,  -7,  -8,  -8,  -8,  -8,  -8,  -8,  -7,  -7,  -6,  -7,  -7,  -7,  -7,  -6,  -6,  -5,  -4,  -3,  -3,  -2,  -3,  -3,  -2,  -1,  -0,   1,   3,   5,   6,   6,   7,   7,   8,   9,   9,   9,   9,   9,  10,  10,  11,  11,  13,  14,  16,  17,  19,  20,  21,  22,  23,  23,  24,  24,  24,  25,  26,  27,  27,  28,  29,  30,  30,  31,  31,  31,  31,  32,  33,  33,  34,  35,  35,  36,  37,  38,  38,  39,  40,  41,  42,  42,  43,  43,  43,  43,  42,  41,  39,  36,  33,  31,  31,  33,  33,  33,  33,  33,  34,  36,  38,  39,  40,  40,  41,  42,  42,  42,  42,  41,  41,  41,  41,  42,  41,  41,  41,  42,  42,  41,  41,  40,  40,  40,  39,  38,  38,  37,  35,  33,  32,  30,  30,  29,  29,  28,  28,  27,  26,  25,  24,  23,  22,  21,  20,  19,  18,  17,  17,  16,  15,  15,  14,  13,  13,  12,  11,  11,  10,   9,   9,   8,   7,   7,   6,   6,   5,   5,   5,   4,   4,   3,   3,   2,   2,   1,   1,   1,   1,   1,   1,   0,  -1,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -5,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -7,  -7,  -7,  -7,  -7,  -7,  -7,  -6,  -5,  -5,  -5,  -4,  -4,  -4,  -4,  -4,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -0,  -0,   0,   0,  -0,  -0,  -1,  -0,   0,   0,   1,   1,   1,   2,   2,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   4,   3,   3,   3,   4,   4,   4,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
+  /*  78.0 */   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   4,   4,   4,   4,   3,   3,   2,   2,   1,   0,   0,  -0,  -0,  -0,  -1,  -2,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -5,  -5,  -5,  -5,  -5,  -6,  -6,  -6,  -6,  -6,  -6,  -6,  -5,  -5,  -5,  -4,  -4,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -5,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -2,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,   1,   2,   4,   5,   6,   8,   9,  10,  10,  10,  10,   9,   9,   9,   9,  10,  12,  14,  16,  17,  18,  19,  20,  22,  23,  24,  25,  26,  26,  27,  28,  28,  29,  29,  30,  30,  30,  30,  31,  31,  31,  32,  32,  33,  33,  33,  34,  34,  34,  35,  35,  36,  37,  37,  38,  38,  39,  39,  39,  38,  37,  36,  35,  34,  32,  31,  30,  29,  30,  30,  31,  31,  31,  31,  31,  33,  35,  36,  36,  36,  37,  38,  39,  40,  39,  39,  38,  38,  38,  39,  39,  39,  40,  40,  40,  39,  39,  39,  39,  38,  37,  35,  34,  32,  32,  32,  31,  30,  29,  29,  29,  28,  27,  26,  24,  24,  23,  22,  21,  20,  19,  19,  18,  17,  17,  16,  16,  15,  14,  14,  13,  13,  12,  12,  11,  10,  10,   9,   9,   8,   7,   7,   7,   6,   6,   5,   5,   4,   4,   3,   3,   3,   3,   2,   1,   1,   0,  -0,  -0,  -1,  -1,  -1,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -5,  -5,  -5,  -5,  -5,  -5,  -4,  -3,  -3,  -2,  -2,  -2,  -1,  -1,  -1,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -0,   1,   2,   2,   2,   2,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   3,   3,   3,   3,   3,   2,   2,   2,   2,   3,   3,   3,
+  /*  79.0 */   3,   3,   4,   4,   4,   3,   3,   3,   3,   3,   2,   2,   2,   3,   3,   3,   3,   3,   2,   2,   2,   1,  -0,  -1,  -1,  -1,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -4,  -3,  -3,  -2,  -1,  -1,  -0,   0,   1,   1,   0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,   0,   1,   1,   1,   0,   1,   1,   1,   2,   2,   3,   4,   5,   6,   6,   6,   5,   5,   5,   5,   6,   8,   9,  10,  11,  11,  11,  10,   8,   8,   7,   7,   7,   8,   9,  11,  12,  14,  15,  17,  18,  20,  21,  22,  23,  24,  25,  26,  26,  27,  27,  28,  28,  29,  29,  30,  30,  31,  32,  32,  33,  33,  34,  34,  35,  35,  35,  35,  36,  36,  36,  37,  37,  37,  36,  35,  34,  33,  32,  31,  30,  29,  29,  28,  28,  29,  29,  30,  30,  30,  30,  31,  31,  32,  33,  34,  35,  36,  37,  37,  36,  36,  35,  36,  36,  37,  37,  37,  37,  38,  38,  39,  39,  38,  38,  37,  37,  36,  35,  35,  35,  34,  33,  32,  30,  29,  28,  28,  27,  26,  25,  24,  24,  23,  22,  22,  21,  20,  20,  19,  18,  18,  17,  17,  16,  15,  15,  14,  14,  14,  13,  13,  12,  11,  11,  10,  10,   9,   9,   8,   8,   8,   7,   7,   6,   6,   6,   5,   5,   4,   3,   3,   3,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -2,  -2,  -2,  -1,  -1,  -0,   0,   0,   1,   1,   1,   1,   1,  -0,  -1,  -2,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -2,  -1,  -1,  -1,  -1,  -1,  -1,   1,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   3,   3,   3,   3,   3,   4,   4,   3,   3,   2,   2,   2,   2,   1,   1,   0,   0,   0,   0,   1,   1,   1,   1,   2,   2,   3,   3,   3,   3,
+  /*  80.0 */   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -0,  -1,  -1,  -1,  -1,  -1,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -2,  -3,  -3,  -3,  -3,  -3,  -3,  -2,  -2,  -2,  -2,  -2,  -1,  -1,   0,   1,   2,   2,   3,   4,   4,   5,   5,   4,   4,   3,   3,   2,   2,   2,   2,   2,   3,   3,   4,   5,   5,   6,   8,   9,  10,  11,  11,  11,  10,   9,   8,   8,   8,   9,  10,  12,  13,  15,  15,  15,  15,  14,  13,  12,  10,   9,   8,   7,   7,   8,   9,  10,  11,  13,  14,  15,  17,  18,  20,  21,  22,  23,  24,  25,  26,  27,  27,  28,  28,  29,  30,  30,  31,  32,  32,  33,  33,  34,  34,  35,  35,  36,  37,  37,  37,  37,  37,  36,  36,  35,  34,  33,  33,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  32,  32,  32,  32,  33,  34,  34,  35,  34,  34,  34,  34,  34,  34,  34,  34,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  33,  33,  32,  31,  30,  30,  29,  29,  29,  28,  27,  27,  26,  25,  25,  24,  24,  23,  23,  22,  22,  21,  20,  20,  19,  18,  18,  17,  17,  16,  16,  16,  15,  14,  14,  13,  13,  12,  12,  11,  11,  11,  11,  11,  10,   9,   9,   8,   8,   7,   7,   6,   6,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   2,   2,   2,   2,   1,   0,  -0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,  -0,  -0,   0,   0,  -0,  -0,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -1,  -0,   0,   1,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   2,   2,   2,   1,   1,   1,   1,   1,   0,   0,   0,   0,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   3,   3,   4,   4,   4,
+  /*  81.0 */   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   2,   2,   3,   3,   4,   4,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   8,   8,   9,  10,  10,  11,  11,  11,  11,  11,  12,  13,  14,  15,  16,  16,  17,  16,  16,  16,  17,  17,  18,  19,  19,  19,  18,  17,  15,  14,  12,  12,  11,  12,  12,  14,  15,  16,  18,  19,  20,  21,  21,  22,  23,  23,  24,  25,  25,  26,  27,  28,  29,  29,  30,  31,  32,  33,  34,  34,  35,  35,  34,  34,  34,  35,  35,  35,  35,  35,  34,  33,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,  32,  33,  33,  33,  32,  31,  31,  31,  31,  32,  32,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  29,  29,  28,  28,  28,  28,  27,  27,  26,  26,  25,  25,  24,  24,  23,  23,  22,  21,  21,  20,  20,  19,  19,  18,  18,  18,  18,  17,  17,  16,  16,  16,  15,  15,  15,  14,  14,  14,  14,  13,  13,  12,  12,  11,  10,  10,   9,   9,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   3,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,
+  /*  82.0 */   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   6,   6,   6,   7,   8,   8,   9,  10,  10,  11,  11,  11,  11,  11,  12,  12,  13,  13,  13,  14,  14,  14,  15,  16,  17,  17,  18,  18,  19,  19,  20,  21,  21,  21,  21,  21,  20,  20,  19,  19,  19,  19,  18,  17,  17,  16,  16,  16,  16,  16,  17,  17,  18,  18,  18,  19,  19,  19,  20,  20,  21,  22,  24,  25,  26,  27,  29,  29,  30,  31,  31,  31,  32,  32,  32,  32,  32,  32,  31,  31,  30,  30,  29,  29,  28,  27,  27,  27,  27,  27,  28,  29,  30,  31,  31,  32,  32,  31,  31,  30,  30,  29,  29,  29,  29,  30,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,  32,  31,  31,  31,  30,  30,  29,  28,  28,  27,  27,  26,  26,  26,  26,  25,  24,  24,  23,  23,  22,  22,  22,  22,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  18,  18,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  15,  14,  13,  12,  12,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   7,   7,   8,   8,   8,   8,   8,   7,   6,   6,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   5,   5,   5,   5,   5,   4,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,
+  /*  83.0 */   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,  10,  10,  11,  11,  12,  12,  12,  13,  13,  14,  14,  15,  15,  15,  16,  16,  16,  17,  17,  17,  18,  18,  18,  18,  18,  18,  18,  19,  19,  19,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  21,  21,  21,  21,  21,  22,  22,  22,  23,  23,  24,  24,  25,  25,  26,  26,  27,  28,  28,  29,  29,  29,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  28,  28,  28,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  25,  25,  25,  25,  24,  24,  24,  23,  23,  23,  22,  22,  22,  21,  21,  21,  21,  20,  20,  19,  19,  19,  18,  18,  18,  18,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  14,  14,  13,  13,  12,  12,  12,  11,  11,  11,  11,  11,  10,  10,  10,  10,   9,   9,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   7,   7,   7,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   5,   5,   6,   7,   7,   8,   8,   7,   6,   6,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,
+  /*  84.0 */   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  17,  17,  17,  18,  18,  19,  19,  19,  19,  20,  20,  20,  20,  20,  21,  21,  21,  21,  22,  22,  22,  22,  22,  23,  23,  23,  24,  24,  24,  24,  24,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  26,  26,  26,  26,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  22,  22,  22,  22,  21,  21,  21,  21,  20,  20,  20,  19,  19,  19,  19,  18,  18,  18,  18,  17,  17,  17,  16,  16,  16,  16,  15,  15,  15,  15,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  12,  12,  12,  12,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,   9,   9,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   7,   7,   8,   8,   9,   9,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,
+  /*  85.0 */   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  18,  18,  18,  18,  18,  19,  19,  19,  19,  20,  20,  20,  20,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  23,  23,  23,  24,  24,  24,  24,  24,  24,  24,  25,  25,  25,  25,  25,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  25,  25,  24,  24,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  22,  22,  22,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   7,   7,   7,   7,   7,   8,   8,   9,   9,   9,  10,  10,   9,   9,   9,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,   8,
+  /*  86.0 */   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  20,  20,  20,  21,  21,  22,  22,  22,  23,  23,  23,  23,  22,  22,  22,  21,  21,  21,  21,  20,  20,  20,  20,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  11,  11,  11,  11,  11,  11,  11,  11,  10,   9,   9,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,
+  /*  87.0 */  10,  10,  10,  10,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  17,  17,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  20,  20,  20,  20,  20,  20,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,  11,  11,  11,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  11,  11,  10,  10,   9,   9,   9,   9,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
+  /*  88.0 */  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  18,  18,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  13,  13,  13,  13,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  13,  13,  13,  13,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
+  /*  89.0 */  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
+  /*  90.0 */  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14
+};

diff --git a/gpsbabel/reference/heightcheck.csv b/gpsbabel/reference/heightcheck.csv
new file mode 100644 (file)
index 0000000..d4357f9
--- /dev/null
+++ b/gpsbabel/reference/heightcheck.csv
@@ -0,0 +1,1025 @@
+lat,lon,ele
+44.343230,-82.065057,0.0
+-21.938132,-0.403137,0.0
+-45.926009,11.257515,0.0
+-82.893512,123.183083,0.0
+82.991461,17.612808,0.0
+-15.022207,41.995297,0.0
+-27.812771,110.613311,0.0
+64.174804,126.631562,0.0
+59.275079,-118.291078,0.0
+-24.364557,161.332956,0.0
+-69.927581,-54.673476,0.0
+46.252069,11.806222,0.0
+21.271327,-157.619018,0.0
+-80.898799,-174.536589,0.0
+51.747346,133.131384,0.0
+42.726743,130.572108,0.0
+-13.046059,-22.031352,0.0
+-30.063081,-0.166408,0.0
+-78.798092,-3.699364,0.0
+-14.675049,143.460499,0.0
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+-62.204024,87.784804,0.0
+-69.260514,-57.050054,0.0
+56.126066,47.797790,0.0
+-79.594015,1.430655,0.0
+-33.925509,9.824202,0.0
+-18.004201,-128.521027,0.0
+-9.414146,11.437254,0.0
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+-19.440260,84.064471,0.0
+-77.173591,157.835615,0.0
+-43.076352,-118.841501,0.0
+-38.303684,113.550379,0.0
+46.526787,3.723440,0.0
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+-26.210797,37.123993,0.0
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+-52.763821,40.035895,0.0
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+-5.021471,20.207927,0.0
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+70.474222,45.185118,0.0
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diff --git a/gpsbabel/reference/heightcheck.style b/gpsbabel/reference/heightcheck.style
new file mode 100644 (file)
index 0000000..e5acb8d
--- /dev/null
+++ b/gpsbabel/reference/heightcheck.style
@@ -0,0 +1,20 @@
+#
+#
+
+DESCRIPTION      emulate unicsv "lat,lon,ele" on write.
+SHORTLEN  8
+EXTENSION csv
+#
+#
+# FILE LAYOUT DEFINITIIONS:
+#
+FIELD_DELIMITER         COMMA
+RECORD_DELIMITER        NEWLINE
+BADCHARS                ,"
+PROLOGUE lat,lon,ele
+
+
+IFIELD LAT_DECIMAL, "", "%f"
+IFIELD LON_DECIMAL, "", "%f"
+IFIELD ALT_METERS, "", "%f"
+

diff --git a/gpsbabel/reference/heightcheck_out.csv b/gpsbabel/reference/heightcheck_out.csv
new file mode 100644 (file)
index 0000000..1c776ed
--- /dev/null
+++ b/gpsbabel/reference/heightcheck_out.csv
@@ -0,0 +1,1025 @@
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diff --git a/gpsbabel/reference/track/height_out.gpx b/gpsbabel/reference/track/height_out.gpx
index 5db752167336448aedec9a2a365c32ef033a58ad..063a502454f736498953a4f27df531bc3b33117c 100644 (file)
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   <pdop>2.220000</pdop>
 </trkpt>
 <trkpt lat="50.827525636" lon="6.245578224">
-  <ele>254.368165</ele>
+  <ele>255.040409</ele>
   <time>2008-07-29T06:59:26Z</time>
   <course>174.653168</course>
   <speed>0.382723</speed>
@@ -455,7 +455,7 @@
   <pdop>1.430000</pdop>
 </trkpt>
 <trkpt lat="50.827517528" lon="6.245592697">
-  <ele>255.335582</ele>
+  <ele>256.007800</ele>
   <time>2008-07-29T06:59:36Z</time>
   <course>174.010529</course>
   <speed>0.048324</speed>
@@ -467,7 +467,7 @@
   <pdop>1.990000</pdop>
 </trkpt>
 <trkpt lat="50.827518490" lon="6.245591882">
-  <ele>255.571652</ele>
+  <ele>256.243872</ele>
   <time>2008-07-29T06:59:46Z</time>
   <course>330.416962</course>
   <speed>0.042397</speed>
@@ -479,7 +479,7 @@
   <pdop>1.990000</pdop>
 </trkpt>
 <trkpt lat="50.827517619" lon="6.245591501">
-  <ele>255.766231</ele>
+  <ele>256.438451</ele>
   <time>2008-07-29T06:59:56Z</time>
   <course>330.416962</course>
   <speed>0.003231</speed>
@@ -491,7 +491,7 @@
   <pdop>1.990000</pdop>
 </trkpt>
 <trkpt lat="50.827517312" lon="6.245590729">
-  <ele>255.934535</ele>
+  <ele>256.606755</ele>
   <time>2008-07-29T07:00:06Z</time>
   <course>330.416962</course>
   <speed>0.000434</speed>
@@ -503,7 +503,7 @@
   <pdop>1.990000</pdop>
 </trkpt>
 <trkpt lat="50.827516711" lon="6.245589700">
-  <ele>256.111598</ele>
+  <ele>256.783818</ele>
   <time>2008-07-29T07:00:16Z</time>
   <course>200.356400</course>
   <speed>0.169673</speed>
@@ -515,7 +515,7 @@
   <pdop>1.990000</pdop>
 </trkpt>
 <trkpt lat="50.827117198" lon="6.245624383">
-  <ele>256.206363</ele>
+  <ele>256.877925</ele>
   <time>2008-07-29T07:00:26Z</time>
   <course>173.281235</course>
   <speed>2.458185</speed>
@@ -527,7 +527,7 @@
   <pdop>2.000000</pdop>
 </trkpt>
 <trkpt lat="50.827089869" lon="6.245617902">
-  <ele>258.500082</ele>
+  <ele>259.171608</ele>
   <time>2008-07-29T07:00:36Z</time>
   <course>172.024109</course>
   <speed>0.011256</speed>
@@ -539,7 +539,7 @@
   <pdop>1.430000</pdop>
 </trkpt>
 <trkpt lat="50.827090094" lon="6.245617582">
-  <ele>258.575613</ele>
+  <ele>259.247140</ele>
   <time>2008-07-29T07:00:46Z</time>
   <course>172.024109</course>
   <speed>0.001248</speed>
@@ -551,7 +551,7 @@
   <pdop>2.000000</pdop>
 </trkpt>
 <trkpt lat="50.827090427" lon="6.245617316">
-  <ele>258.665458</ele>
+  <ele>259.336985</ele>
   <time>2008-07-29T07:00:56Z</time>
   <course>172.024109</course>
   <speed>0.002104</speed>

diff --git a/gpsbabel/testo.d/classic-4.test b/gpsbabel/testo.d/classic-4.test
index 41cf7d318ced5250c334877b7a643de67fbecb04..1526c9d5d56f125a6071846bae515f72dc717bb8 100644 (file)
--- a/gpsbabel/testo.d/classic-4.test
+++ b/gpsbabel/testo.d/classic-4.test
@@ -126,6 +126,11 @@ gpsbabel -i gpx -f ${REFERENCE}/track/height.gpx \
                -x height,wgs84tomsl,add=100m  \
                -o gpx -F ${TMPDIR}/height_out.gpx
 compare ${TMPDIR}/height_out.gpx ${REFERENCE}/track/height_out.gpx
+rm -f ${TMPDIR}/height_out.csv
+gpsbabel -i unicsv -f ${REFERENCE}/heightcheck.csv \
+               -x height,wgs84tomsl  \
+               -o xcsv,style=${REFERENCE}/heightcheck.style -F ${TMPDIR}/height_out.csv
+compare ${TMPDIR}/height_out.csv ${REFERENCE}/heightcheck_out.csv
 
 #
 # iBlue747 (style) track files

diff --git a/gpsbabel/tools/createGeoidGrid b/gpsbabel/tools/createGeoidGrid
new file mode 100755 (executable)
index 0000000..61345af
--- /dev/null
+++ b/gpsbabel/tools/createGeoidGrid
@@ -0,0 +1,91 @@
+#!/bin/bash
+#
+# this is used to generate height.h
+# which is used by height.c to compute the EMG96 geoid height
+# relative to the WGS84 ellipsoid.
+# It requires the GeographicLib utility GeoidEval.
+#
+if [ $# != 2 ]; then
+       echo "Usage: $0 grid_spacing_degrees gbint8|gbint16" >&2
+       exit 1
+fi
+geoidgrid=$1 # grid spacing in degrees
+geoidtype=$2
+case $geoidtype in
+gbint8)
+       geoidscale=1.0
+       geoidformat1="%4.0f"
+       geoidformat2="%4.0f"
+       ;;
+gbint16)
+       geoidscale=100.0
+       geoidformat1="%6.1f"
+       geoidformat2="%6.0f"
+       ;;
+*)
+       echo "invalid type" >&2
+       exit 1
+       ;;
+esac
+geoidmodel="egm96-5"
+lats=$(seq -s' ' -90 $geoidgrid 90)
+lons=$(seq -s' ' -180 $geoidgrid 180)
+latarray=($lats)
+lonarray=($lons)
+echo "/*"
+echo "    Copyright (C) 2013  Robert Lipe, robertlipe@usa.net"
+echo ""
+echo "    This program is free software; you can redistribute it and/or modify"
+echo "    it under the terms of the GNU General Public License as published by"
+echo "    the Free Software Foundation; either version 2 of the License, or"
+echo "    (at your option) any later version."
+echo ""
+echo "    This program is distributed in the hope that it will be useful,"
+echo "    but WITHOUT ANY WARRANTY; without even the implied warranty of"
+echo "    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the"
+echo "    GNU General Public License for more details."
+echo ""
+echo "    You should have received a copy of the GNU General Public License"
+echo "    along with this program; if not, write to the Free Software"
+echo "    Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111 USA"
+echo ""
+echo " */"
+echo "/* Created by \"$0 $1 $2\" using GeographicLib utility GeoidEval with $geoidmodel. */"
+echo "#define GEOID_GRID_DEG $geoidgrid"
+echo "#define GEOID_SCALE $geoidscale"
+echo "#define GEOID_ROW ${#latarray[@]}"
+echo "#define GEOID_COL ${#lonarray[@]}"
+echo "static const $geoidtype geoid_delta[GEOID_COL*GEOID_ROW]= {"
+idx=1
+echo -n "  /*         "
+for lon in $lons
+do
+       echo -n $geoidformat1 $lon | awk '{printf $1,$2}'
+       if [ $idx -lt ${#lonarray[@]} ]; then
+               echo -n ","
+       fi
+       let idx++
+done
+echo " */"
+
+latidx=1
+for lat in $lats
+do
+       echo -n "  /* "
+       echo -n $lat | awk '{printf "%5.1f",$1}'
+       echo -n " */"
+       lonidx=1
+       for lon in $lons
+       do
+               fullheight=$(echo "$lat $lon" | GeoidEval -n $geoidmodel -l)
+               echo -n $geoidformat2 $fullheight $geoidscale | awk '{printf $1,$2*$3}'
+               if [ $lonidx -lt ${#lonarray[@]} -o $latidx -lt ${#latarray[@]} ]; then
+                       echo -n ","
+               fi
+               let lonidx++
+       done
+       echo ""
+       let latidx++
+done
+echo "};"
+