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Posted to commits@lucy.apache.org by nw...@apache.org on 2013/03/25 21:56:31 UTC

[lucy-commits] [1/3] Upgrade StandardTokenizer to Unicode 6.2.0

Updated Branches:
  refs/heads/master 1dced2235 -> 0df8da88c


http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/modules/unicode/ucd/WordBreakTest.json
----------------------------------------------------------------------
diff --git a/modules/unicode/ucd/WordBreakTest.json b/modules/unicode/ucd/WordBreakTest.json
index 9d3d2b9..2340c5a 100644
--- a/modules/unicode/ucd/WordBreakTest.json
+++ b/modules/unicode/ucd/WordBreakTest.json
@@ -104,6 +104,14 @@
       ]
    },
    {
+      "text" : "\u0001πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "\u0001ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "\u0001Β­",
       "words" : []
    },
@@ -332,6 +340,14 @@
       ]
    },
    {
+      "text" : "\rπŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "\rΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "\rΒ­",
       "words" : []
    },
@@ -560,6 +576,14 @@
       ]
    },
    {
+      "text" : "\nπŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "\nΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "\nΒ­",
       "words" : []
    },
@@ -788,6 +812,14 @@
       ]
    },
    {
+      "text" : "\u000bπŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "\u000bΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "\u000bΒ­",
       "words" : []
    },
@@ -1048,6 +1080,18 @@
       ]
    },
    {
+      "text" : "γ€±πŸ‡¦",
+      "words" : [
+         "γ€±"
+      ]
+   },
+   {
+      "text" : "γ€±ΜˆπŸ‡¦",
+      "words" : [
+         "γ€±Μˆ"
+      ]
+   },
+   {
       "text" : "γ€±Β­",
       "words" : [
          "γ€±Β­"
@@ -1332,6 +1376,18 @@
       ]
    },
    {
+      "text" : "AπŸ‡¦",
+      "words" : [
+         "A"
+      ]
+   },
+   {
+      "text" : "AΜˆπŸ‡¦",
+      "words" : [
+         "Ä"
+      ]
+   },
+   {
       "text" : "AΒ­",
       "words" : [
          "AΒ­"
@@ -1568,6 +1624,14 @@
       ]
    },
    {
+      "text" : ":πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : ":ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : ":Β­",
       "words" : []
    },
@@ -1796,6 +1860,14 @@
       ]
    },
    {
+      "text" : ",πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : ",ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : ",Β­",
       "words" : []
    },
@@ -2024,6 +2096,14 @@
       ]
    },
    {
+      "text" : "'πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "'ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "'Β­",
       "words" : []
    },
@@ -2282,6 +2362,18 @@
       ]
    },
    {
+      "text" : "0πŸ‡¦",
+      "words" : [
+         "0"
+      ]
+   },
+   {
+      "text" : "0ΜˆπŸ‡¦",
+      "words" : [
+         "0̈"
+      ]
+   },
+   {
       "text" : "0Β­",
       "words" : [
          "0Β­"
@@ -2546,6 +2638,18 @@
       ]
    },
    {
+      "text" : "_πŸ‡¦",
+      "words" : [
+         "_"
+      ]
+   },
+   {
+      "text" : "_ΜˆπŸ‡¦",
+      "words" : [
+         "_̈"
+      ]
+   },
+   {
       "text" : "_Β­",
       "words" : [
          "_Β­"
@@ -2678,6 +2782,242 @@
       ]
    },
    {
+      "text" : "πŸ‡¦\u0001",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ\u0001",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦\r",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ\r",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦\n",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ\n",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦\u000b",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ\u000b",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦γ€±",
+      "words" : [
+         "γ€±"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆγ€±",
+      "words" : [
+         "γ€±"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦A",
+      "words" : [
+         "A"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦ΜˆA",
+      "words" : [
+         "A"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦:",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ:",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦,",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ,",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦'",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μˆ'",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦0",
+      "words" : [
+         "0"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ0",
+      "words" : [
+         "0"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦_",
+      "words" : [
+         "_"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ_",
+      "words" : [
+         "_"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Β­",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦ΜˆΒ­",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦Μ€",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦ΜˆΜ€",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦a⁠",
+      "words" : [
+         "a⁠"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆa⁠",
+      "words" : [
+         "a⁠"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦a:",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆa:",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦a'",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆa'",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦a'⁠",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆa'⁠",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦a,",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆa,",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦1:",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ1:",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦1'",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ1'",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦1,",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ1,",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦1.⁠",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "πŸ‡¦Μˆ1.⁠",
+      "words" : [
+         "1"
+      ]
+   },
+   {
       "text" : "Β­\u0001",
       "words" : []
    },
@@ -2782,6 +3122,14 @@
       ]
    },
    {
+      "text" : "Β­πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "Β­ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "Β­Β­",
       "words" : []
    },
@@ -3010,6 +3358,14 @@
       ]
    },
    {
+      "text" : "Μ€πŸ‡¦",
+      "words" : []
+   },
+   {
+      "text" : "Μ€ΜˆπŸ‡¦",
+      "words" : []
+   },
+   {
       "text" : "Μ€Β­",
       "words" : []
    },
@@ -3268,6 +3624,18 @@
       ]
    },
    {
+      "text" : "aβ πŸ‡¦",
+      "words" : [
+         "a⁠"
+      ]
+   },
+   {
+      "text" : "aβ ΜˆπŸ‡¦",
+      "words" : [
+         "a⁠̈"
+      ]
+   },
+   {
       "text" : "a⁠­",
       "words" : [
          "a⁠­"
@@ -3538,6 +3906,18 @@
       ]
    },
    {
+      "text" : "a:πŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "a:ΜˆπŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
       "text" : "a:Β­",
       "words" : [
          "a"
@@ -3816,6 +4196,18 @@
       ]
    },
    {
+      "text" : "a'πŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "a'ΜˆπŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
       "text" : "a'Β­",
       "words" : [
          "a"
@@ -4094,6 +4486,18 @@
       ]
    },
    {
+      "text" : "a'β πŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "a'β ΜˆπŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
       "text" : "a'⁠­",
       "words" : [
          "a"
@@ -4374,6 +4778,18 @@
       ]
    },
    {
+      "text" : "a,πŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
+      "text" : "a,ΜˆπŸ‡¦",
+      "words" : [
+         "a"
+      ]
+   },
+   {
       "text" : "a,Β­",
       "words" : [
          "a"
@@ -4664,6 +5080,18 @@
       ]
    },
    {
+      "text" : "1:πŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "1:ΜˆπŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
       "text" : "1:Β­",
       "words" : [
          "1"
@@ -4952,6 +5380,18 @@
       ]
    },
    {
+      "text" : "1'πŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "1'ΜˆπŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
       "text" : "1'Β­",
       "words" : [
          "1"
@@ -5232,6 +5672,18 @@
       ]
    },
    {
+      "text" : "1,πŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "1,ΜˆπŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
       "text" : "1,Β­",
       "words" : [
          "1"
@@ -5512,6 +5964,18 @@
       ]
    },
    {
+      "text" : "1.β πŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
+      "text" : "1.β ΜˆπŸ‡¦",
+      "words" : [
+         "1"
+      ]
+   },
+   {
       "text" : "1.⁠­",
       "words" : [
          "1"
@@ -5716,5 +6180,52 @@
       "words" : [
          "3⁠a⁠⁠"
       ]
+   },
+   {
+      "text" : "aπŸ‡¦b",
+      "words" : [
+         "a",
+         "b"
+      ]
+   },
+   {
+      "text" : "πŸ‡·πŸ‡Ί",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡·πŸ‡ΊπŸ‡Έ",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡·πŸ‡ΊπŸ‡ΈπŸ‡ͺ",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡·πŸ‡Ίβ€‹πŸ‡ΈπŸ‡ͺ",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦πŸ‡§πŸ‡¨",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦β€πŸ‡§πŸ‡¨",
+      "words" : []
+   },
+   {
+      "text" : "πŸ‡¦πŸ‡§β€πŸ‡¨",
+      "words" : []
+   },
+   {
+      "text" : " ‍ن",
+      "words" : [
+         "Ω†"
+      ]
+   },
+   {
+      "text" : "ن‍ ",
+      "words" : [
+         "ن‍"
+      ]
    }
 ]


[lucy-commits] [2/3] Upgrade StandardTokenizer to Unicode 6.2.0

Posted by nw...@apache.org.
http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/modules/unicode/ucd/WordBreak.tab
----------------------------------------------------------------------
diff --git a/modules/unicode/ucd/WordBreak.tab b/modules/unicode/ucd/WordBreak.tab
index 0790545..dbcc404 100644
--- a/modules/unicode/ucd/WordBreak.tab
+++ b/modules/unicode/ucd/WordBreak.tab
@@ -2,7 +2,7 @@
 
 This file is generated with devel/bin/gen_word_break_data.pl. DO NOT EDIT!
 The contents of this file are derived from the Unicode Character Database,
-version 6.0.0, available from http://www.unicode.org/Public/6.0.0/ucd/.
+version 6.2.0, available from http://www.unicode.org/Public/6.2.0/ucd/.
 The Unicode copyright and permission notice follows.
 
 Copyright (c) 1991-2011 Unicode, Inc. All rights reserved. Distributed under
@@ -54,8 +54,8 @@ static const uint8_t wb_ascii[128] = {
 
 static const uint8_t wb_plane_map[225] = {
      0,  1,  2,  3,  4,  5,  5,  5,  5,  6,  7,  8,  8,  9, 10, 11, 12, 13, 14,
-    15, 10, 10, 16, 10, 10, 10, 10, 17, 10, 18, 10, 10,  5,  5,  5,  5,  5,  5,
-     5,  5,  5,  5, 19, 20, 10, 10, 10, 21, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+    15, 10, 10, 16, 10, 10, 10, 10, 17, 10, 18, 19, 10,  5,  5,  5,  5,  5,  5,
+     5,  5,  5,  5, 20, 21, 10, 10, 10, 22, 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, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
@@ -64,120 +64,124 @@ static const uint8_t wb_plane_map[225] = {
     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, 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, 10, 10, 10, 10, 10, 10, 10,
-    10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 22
+    10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 23
 };
 
 #define WB_PLANES_SHIFT 6
 #define WB_PLANES_MASK  63
-#define WB_PLANES_SIZE  1472
+#define WB_PLANES_SIZE  1536
 
-static const uint8_t wb_planes[1472] = {
+static const uint8_t wb_planes[1536] = {
       0,   1,   2,   3,   4,   4,   4,   4,   4,   4,   4,   5,   6,   7,   8,
       9,   4,   4,  10,   4,  11,  12,  13,  14,  15,  16,   4,  17,  18,  19,
-     20,  21,  22,  23,  24,  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,   4,   4,   4,   4,   4,  57,  58,
-     59,  60,  61,  62,  63,  64,   4,   4,   4,   4,   4,   4,   4,   4,  65,
-     66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,
-     81,  82,  24,  83,  84,  85,  86,  87,  88,  24,  89,   4,   4,   4,  90,
-      4,   4,   4,   4,  91,  92,  93,  94,  95,  96,  97,  98,  99, 100, 101,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 102, 103,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 104, 105,   4, 106,
-    107, 108, 109, 110, 111,  24,  24,  24,  24,  24,  24,  24, 112, 113, 114,
-    115, 116,   4, 117, 118,  24,  24,  24, 119, 120, 121,  24,  24, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123,  24, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 124,   4,   4,
+     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,   4,   4,   4,   4,   4,  58,  59,
+     60,  61,  62,  63,  64,  65,   4,   4,   4,   4,   4,   4,   4,   4,  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,  84,  91,   4,   4,   4,  92,
+      4,   4,   4,   4,  93,  94,  95,  96,  97,  98,  99, 100, 101, 102, 103,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84, 104, 105,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84, 106, 107,   4, 108,
+    109, 110, 111, 112, 113,  84,  84,  84,  84,  84,  84,  84, 114, 115, 116,
+    117, 118,   4, 119, 120,  84,  84,  84, 121, 122, 123,  84,  84, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125,  84, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 126,   4,   4,
       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
-      4, 125, 126,   4,   4,   4,   4, 127, 128, 129, 130, 131,   4, 132, 133,
-    134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146,  24,  24,
-    147,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
+      4, 127, 128,   4,   4,   4,   4, 129, 130, 131, 132, 133,   4, 134, 135,
+    136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,  84,  84,
+    149,   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,   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,   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,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
-      4,   4,   4,   4,   4,   4, 148, 149,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24, 122, 122, 122, 122, 150, 150, 122, 151, 152, 153,
-    154, 155,   4,   4,   4,   4, 156, 157, 158, 159, 160, 161,   4, 162, 163,
-    164, 165, 166, 167, 168,   4, 169,  24,  63,  24, 170,  24,  24, 171, 172,
-    173, 174, 175, 176,   4,   4, 177,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24, 178, 179,  24,  24, 180,  24,  24,  24, 181, 182,
-     24,  24,  75, 183,  24,  24,   4, 101,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24, 184, 185, 186,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,   4,   4,   4,   4,
-      4,   4,   4,   4,   4,   4,   4,   4,   4, 187,  24,  24,   4, 188,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
+      4,   4,   4,   4,   4,   4, 150, 151,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84, 124, 124, 124, 124, 124, 152, 124, 153, 154, 155,
+    156, 157,   4,   4,   4,   4, 158, 159, 160, 161, 162, 163,   4, 164, 165,
+    166, 167, 168, 169, 170,   4, 171,  84,  64,  84, 172,  84,  84, 173, 174,
+    175, 176, 177, 178,   4,   4, 179,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84, 180, 181,  84,  84, 182,  84, 183,  84, 184, 185,
+     84,  84,  76, 186,  84,  84,   4, 103,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84, 187, 188, 189, 190, 191,  84, 192, 193,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84, 194, 195,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,   4,   4,   4,   4,
+      4,   4,   4,   4,   4,   4,   4,   4,   4, 196,  84,  84,   4, 197,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
-      4, 187,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,   4,   4,   4,   4,   4,   4,   4,   4, 189,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24, 190,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24, 191, 192,  24,  24, 193,  24,  24,  24,  24,  24,  24,   4, 194,
-    195, 196, 197, 198,   4,   4,   4,   4, 199, 200, 201, 202, 203, 204,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 205, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
-    122, 122, 122, 206, 122, 122, 122, 207,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 122, 122, 122, 122,
-    122, 122, 122, 122, 207,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 208,   6,
-     24,  24,   6,   6,   6, 209,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
-     24,  24
+      4, 196,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,   4,   4,   4,   4,   4,   4,   4,   4, 198,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,   4, 199, 200,  84, 201,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84, 202, 203,  84,  84, 204,  84,  84,  84,  84,  84,  84,   4, 205,
+    206, 207, 208, 209,   4,   4,   4,   4, 210, 211, 212, 213, 214, 215,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84, 216, 217, 218,
+     84,  84,  84,  84,  84, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 219, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124,
+    124, 124, 124, 124, 124, 124, 124, 220, 124, 124, 124, 221,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+    124, 124, 124, 124, 124, 124, 124, 124, 221,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84, 222,   6,  84,  84,   6,   6,   6, 223,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,  84,
+     84,  84,  84,  84,  84,  84
 };
 
 #define WB_ROWS_SHIFT 6
 #define WB_ROWS_MASK  63
-#define WB_ROWS_SIZE  13440
+#define WB_ROWS_SIZE  14336
 
-static const uint8_t wb_rows[13440] = {
+static const uint8_t wb_rows[14336] = {
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 0, 7, 0, 3, 3,
     3, 3, 3, 3, 3, 3, 3, 3, 8, 9, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
@@ -216,7 +220,7 @@ static const uint8_t wb_rows[13440] = {
     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0,
     6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 8, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0,
     0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
@@ -240,480 +244,516 @@ static const uint8_t wb_rows[13440] = {
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6,
-    0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2,
-    2, 2, 2, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2,
-    2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6,
-    6, 0, 0, 6, 6, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 2, 0, 2, 2,
-    2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
-    2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0,
-    0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0,
-    2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 2, 2, 2, 6, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6,
+    2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6,
+    6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+    3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 6, 6, 6, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2,
+    0, 0, 6, 2, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 2, 0, 0, 0, 0,
+    0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3,
+    3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2,
+    0, 2, 2, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0,
+    0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3,
+    3, 3, 3, 3, 3, 3, 3, 6, 6, 2, 2, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6,
+    6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
+    0, 2, 2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6,
+    6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0,
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0,
+    0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 6,
+    6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 6, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2,
+    2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6,
+    6, 6, 0, 6, 6, 6, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 6, 6, 6, 6, 6, 6,
+    6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 2, 2, 0, 0, 0,
+    0, 0, 0, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2,
     2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6, 6,
-    6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 6, 2, 6,
-    6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6,
-    0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0,
-    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 2, 2, 2, 2, 2,
-    2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0,
-    2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 2, 0, 0, 0, 0,
-    0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3,
-    3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 2, 2,
-    2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2,
-    2, 0, 0, 0, 2, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0,
-    0, 0, 0, 6, 6, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3,
-    3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2,
-    2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0,
-    0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 6, 6, 0, 0, 3, 3,
-    3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6,
-    6, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 6, 0,
-    0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2,
-    2, 2, 0, 0, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 6, 2, 6, 6, 6,
+    6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0,
+    0, 0, 0, 0, 2, 0, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2,
+    6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0,
+    6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 6, 6, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6,
+    6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1,
-    1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0,
-    0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0,
-    1, 1, 0, 1, 1, 1, 1, 6, 1, 1, 6, 6, 6, 6, 6, 6, 0, 6, 6, 1, 0, 0, 1, 1, 1,
-    1, 1, 0, 1, 0, 6, 6, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0,
-    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3,
-    3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 2, 2, 2,
-    2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 6, 6, 6, 6,
+    6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3,
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,
+    0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1,
+    1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 6, 1, 1, 6,
+    6, 6, 6, 6, 6, 0, 6, 6, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 6, 6, 6, 6, 6, 6,
+    0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1,
-    1, 1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6,
-    6, 6, 1, 1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6,
-    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2,
-    2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2,
-    2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2,
-    0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6,
+    6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 3, 3, 3, 3,
+    3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 1, 1, 1,
+    6, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 6, 6, 6, 6, 1, 1,
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6,
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2,
+    2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2,
+    2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 6, 6, 6,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 6, 6, 6, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2,
+    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 0, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 2, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 1, 0, 0, 0, 0, 1, 6, 0,
-    0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 3,
-    3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 0, 0, 0, 1, 0, 0, 0, 0, 1, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0,
+    0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 6, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 0, 0, 0, 0, 0, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 0,
-    0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0,
+    0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3,
+    3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 3, 3, 3,
-    3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 0,
-    0, 0, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1,
+    1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 3, 3,
-    3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 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, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0,
+    0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3,
-    3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0,
-    0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3,
+    3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0,
-    0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3,
-    3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 6, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2,
+    2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 6,
+    6, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6,
+    6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2,
+    2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0,
+    2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2,
+    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0,
+    0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 8, 0, 0,
+    6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0,
+    0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 2, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6,
     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2,
-    2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
-    2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2,
-    2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2,
-    2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0,
-    0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 8, 0, 0, 6, 6, 6,
-    6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 9, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 2, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2,
-    0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
-    0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0,
+    2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2,
+    2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0,
-    0, 0, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
+    2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    0, 0, 0, 0, 0, 2, 2, 2, 2, 6, 6, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2,
-    2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
-    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 6, 6, 6,
+    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2,
+    2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0,
     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1,
-    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4, 0, 0, 1,
-    1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4,
+    0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 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, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 6, 6, 4, 4,
-    1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 6,
+    6, 4, 4, 1, 1, 1, 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, 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, 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, 0, 4, 4, 4, 4, 0,
-    0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2,
+    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4,
+    4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+    0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
-    4, 4, 4, 4, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0,
+    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 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, 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, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 0, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 6, 2, 2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 0,
-    0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6,
-    6, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0,
+    0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2,
+    2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6,
+    6, 6, 6, 6, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3,
+    3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3,
-    3, 3, 3, 0, 0, 0, 0, 0, 0, 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, 1, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 3, 3, 3, 3,
+    3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 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, 1, 6, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1, 1,
-    1, 1, 1, 6, 6, 1, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6,
-    6, 0, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 6, 1, 6, 6, 6, 1, 1, 6,
+    6, 1, 1, 1, 1, 1, 6, 6, 1, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 6, 6, 6, 6, 6, 0, 0, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
+    2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6,
+    6, 6, 6, 6, 0, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0,
-    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,
-    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 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, 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, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0,
+    0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
-    2, 2, 0, 0, 0, 0, 0, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2,
+    0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0,
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     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 9, 0,
+    7, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 9, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6,
-    6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 9, 0, 7, 0, 9,
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-    0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 0, 7,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 0,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 0, 7, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 0, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 4, 4, 4, 4,
-    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2,
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+    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2,
+    2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
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-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2,
-    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0,
-    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0,
-    0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
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-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6,
-    2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
+    2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
+    2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2,
+    2, 2, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 2, 2, 2, 2, 0, 2, 2, 2,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3,
+    3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 6,
+    6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3,
+    3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0,
+    0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6,
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6,
+    6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0,
+    2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2,
+    2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0,
+    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2,
+    0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2,
-    2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2,
-    2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2,
     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
-    2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3,
+    2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3,
     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
-    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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,
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2,
+    2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2,
+    0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2,
+    0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0,
+    2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2,
+    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 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, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,
+    0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6,
+    1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
-    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0,
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
+    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
 };


[lucy-commits] [3/3] git commit: refs/heads/master - Upgrade StandardTokenizer to Unicode 6.2.0

Posted by nw...@apache.org.
Upgrade StandardTokenizer to Unicode 6.2.0


Project: http://git-wip-us.apache.org/repos/asf/lucy/repo
Commit: http://git-wip-us.apache.org/repos/asf/lucy/commit/0df8da88
Tree: http://git-wip-us.apache.org/repos/asf/lucy/tree/0df8da88
Diff: http://git-wip-us.apache.org/repos/asf/lucy/diff/0df8da88

Branch: refs/heads/master
Commit: 0df8da88c95ab33edf4a71c63f1d3f720a23117d
Parents: 1dced22
Author: Nick Wellnhofer <we...@aevum.de>
Authored: Mon Mar 25 21:51:06 2013 +0100
Committer: Nick Wellnhofer <we...@aevum.de>
Committed: Mon Mar 25 21:51:06 2013 +0100

----------------------------------------------------------------------
 core/Lucy/Analysis/StandardTokenizer.c          |    6 +-
 core/Lucy/Test/Analysis/TestStandardTokenizer.c |   12 +-
 devel/bin/UnicodeTable.pm                       |    5 +-
 devel/bin/gen_word_break_data.pl                |   29 +-
 modules/unicode/ucd/WordBreak.tab               |  946 +++++++++---------
 modules/unicode/ucd/WordBreakTest.json          |  511 ++++++++++
 6 files changed, 1034 insertions(+), 475 deletions(-)
----------------------------------------------------------------------


http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/core/Lucy/Analysis/StandardTokenizer.c
----------------------------------------------------------------------
diff --git a/core/Lucy/Analysis/StandardTokenizer.c b/core/Lucy/Analysis/StandardTokenizer.c
index a24c2b8..2a8665e 100644
--- a/core/Lucy/Analysis/StandardTokenizer.c
+++ b/core/Lucy/Analysis/StandardTokenizer.c
@@ -151,9 +151,9 @@ S_parse_single(const char *text, size_t len, lucy_StringIter *iter,
 }
 
 /*
- * Parse a word starting with an ALetter, Numeric or Katakana character.
- * Advances the iterator and returns the word break property of the current
- * character.
+ * Parse a word starting with an ALetter, Numeric, Katakana, or ExtendNumLet
+ * character. Advances the iterator and returns the word break property of the
+ * current character.
  */
 static int
 S_parse_word(const char *text, size_t len, lucy_StringIter *iter,

http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/core/Lucy/Test/Analysis/TestStandardTokenizer.c
----------------------------------------------------------------------
diff --git a/core/Lucy/Test/Analysis/TestStandardTokenizer.c b/core/Lucy/Test/Analysis/TestStandardTokenizer.c
index b7851a6..9e550a0 100644
--- a/core/Lucy/Test/Analysis/TestStandardTokenizer.c
+++ b/core/Lucy/Test/Analysis/TestStandardTokenizer.c
@@ -26,20 +26,24 @@
 
 TestStandardTokenizer*
 TestStandardTokenizer_new(TestFormatter *formatter) {
-    TestStandardTokenizer *self = (TestStandardTokenizer*)VTable_Make_Obj(TESTSTANDARDTOKENIZER);
+    TestStandardTokenizer *self
+        = (TestStandardTokenizer*)VTable_Make_Obj(TESTSTANDARDTOKENIZER);
     return TestStandardTokenizer_init(self, formatter);
 }
 
 TestStandardTokenizer*
-TestStandardTokenizer_init(TestStandardTokenizer *self, TestFormatter *formatter) {
-    return (TestStandardTokenizer*)TestBatch_init((TestBatch*)self, 984, formatter);
+TestStandardTokenizer_init(TestStandardTokenizer *self,
+                           TestFormatter *formatter) {
+    TestBatch_init((TestBatch*)self, 1084, formatter);
+    return self;
 }
 
 static void
 test_Dump_Load_and_Equals(TestBatch *batch) {
     StandardTokenizer *tokenizer = StandardTokenizer_new();
     Obj *dump  = StandardTokenizer_Dump(tokenizer);
-    StandardTokenizer *clone = (StandardTokenizer*)StandardTokenizer_Load(tokenizer, dump);
+    StandardTokenizer *clone
+        = (StandardTokenizer*)StandardTokenizer_Load(tokenizer, dump);
 
     TEST_TRUE(batch,
               StandardTokenizer_Equals(tokenizer, (Obj*)clone),

http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/devel/bin/UnicodeTable.pm
----------------------------------------------------------------------
diff --git a/devel/bin/UnicodeTable.pm b/devel/bin/UnicodeTable.pm
index b233bfd..6cd1ed5 100644
--- a/devel/bin/UnicodeTable.pm
+++ b/devel/bin/UnicodeTable.pm
@@ -16,6 +16,8 @@
 package UnicodeTable;
 use strict;
 
+use IO::File;
+
 =head1 NAME
 
 UnicodeTable - Create compressed Unicode tables for C programs
@@ -110,7 +112,8 @@ sub read {
     my $map  = $opts->{map}  or die('map missing');
     $type = lc($type);
 
-    open( my $file, '<', $filename )
+    my $file = IO::File->new;
+    $file->open( $filename, '<' )
         or die("$filename: $!\n");
 
     while ( my $line = $file->getline ) {

http://git-wip-us.apache.org/repos/asf/lucy/blob/0df8da88/devel/bin/gen_word_break_data.pl
----------------------------------------------------------------------
diff --git a/devel/bin/gen_word_break_data.pl b/devel/bin/gen_word_break_data.pl
old mode 100644
new mode 100755
index d72df05..9bcf916
--- a/devel/bin/gen_word_break_data.pl
+++ b/devel/bin/gen_word_break_data.pl
@@ -32,7 +32,7 @@ the UCD to JSON.
 UCD_SRC_DIR should point to a directory containing the files
 WordBreakProperty.txt, WordBreakTest.txt, and DerivedCoreProperties.txt from
 the Unicode Character Database available at
-L<http://www.unicode.org/Public/6.0.0/ucd/>.
+L<http://www.unicode.org/Public/6.2.0/ucd/>.
 
 =head1 OUTPUT FILES
 
@@ -58,18 +58,19 @@ my $table_filename = "$output_dir/WordBreak.tab";
 my $tests_filename = "$output_dir/WordBreakTest.json";
 
 my %wb_map = (
-    CR           => 0,
-    LF           => 0,
-    Newline      => 0,
-    ALetter      => 2,
-    Numeric      => 3,
-    Katakana     => 4,
-    ExtendNumLet => 5,
-    Extend       => 6,
-    Format       => 6,
-    MidNumLet    => 7,
-    MidLetter    => 8,
-    MidNum       => 9,
+    CR                 => 0,
+    LF                 => 0,
+    Newline            => 0,
+    Regional_Indicator => 0,  # These are symbols, so ignore them.
+    ALetter            => 2,
+    Numeric            => 3,
+    Katakana           => 4,
+    ExtendNumLet       => 5,
+    Extend             => 6,
+    Format             => 6,
+    MidNumLet          => 7,
+    MidLetter          => 8,
+    MidNum             => 9,
 );
 
 my %opts;
@@ -206,7 +207,7 @@ __DATA__
 
 This file is generated with devel/bin/gen_word_break_data.pl. DO NOT EDIT!
 The contents of this file are derived from the Unicode Character Database,
-version 6.0.0, available from http://www.unicode.org/Public/6.0.0/ucd/.
+version 6.2.0, available from http://www.unicode.org/Public/6.2.0/ucd/.
 The Unicode copyright and permission notice follows.
 
 Copyright (c) 1991-2011 Unicode, Inc. All rights reserved. Distributed under