From 670d1f5528e031c94debda3a0cf3c449abaf3266 Mon Sep 17 00:00:00 2001 From: Marius Andra Date: Tue, 7 Feb 2023 16:23:30 +0100 Subject: [PATCH] Strings are only Single quote, Database stuff is Double quote --- posthog/hogql/grammar/HogQLLexer.g4 | 9 +- posthog/hogql/grammar/HogQLLexer.interp | 2 +- posthog/hogql/grammar/HogQLLexer.py | 1412 +++++++++++------------ posthog/hogql/grammar/README.md | 2 - posthog/hogql/parser.py | 8 +- posthog/hogql/test/test_hogql.py | 5 - 6 files changed, 714 insertions(+), 724 deletions(-) diff --git a/posthog/hogql/grammar/HogQLLexer.g4 b/posthog/hogql/grammar/HogQLLexer.g4 index e04d0d2312421..0ebef6f70583d 100644 --- a/posthog/hogql/grammar/HogQLLexer.g4 +++ b/posthog/hogql/grammar/HogQLLexer.g4 @@ -212,12 +212,10 @@ ESCAPE_CHAR | BACKSLASH BACKSLASH | BACKSLASH QUOTE_SINGLE; -// ClickHouse supports identifier with double quotes and back quotes (select from "table"; select from `table`) -// HogQL only uses backquotes. Double quotes and single quotes are used in strings. -// This is to make query editing in the UI nicer by supporting intuitive syntax like: event == "$pageview" IDENTIFIER : (LETTER | UNDERSCORE | DOLLAR) (LETTER | UNDERSCORE | DEC_DIGIT | DOLLAR)* | BACKQUOTE ( ~([\\`]) | ESCAPE_CHAR | (BACKQUOTE BACKQUOTE) )* BACKQUOTE + | QUOTE_DOUBLE ( ~([\\"]) | ESCAPE_CHAR | (QUOTE_DOUBLE QUOTE_DOUBLE) )* QUOTE_DOUBLE ; FLOATING_LITERAL : HEXADECIMAL_LITERAL DOT HEX_DIGIT* (P | E) (PLUS | DASH)? DEC_DIGIT+ @@ -231,10 +229,7 @@ DECIMAL_LITERAL: DEC_DIGIT+; HEXADECIMAL_LITERAL: '0' X HEX_DIGIT+; // It's important that quote-symbol is a single character. -STRING_LITERAL - : QUOTE_SINGLE ( ~([\\']) | ESCAPE_CHAR | (QUOTE_SINGLE QUOTE_SINGLE) )* QUOTE_SINGLE - | QUOTE_DOUBLE ( ~([\\"]) | ESCAPE_CHAR | (QUOTE_DOUBLE QUOTE_DOUBLE) )* QUOTE_DOUBLE - ; +STRING_LITERAL: QUOTE_SINGLE ( ~([\\']) | ESCAPE_CHAR | (QUOTE_SINGLE QUOTE_SINGLE) )* QUOTE_SINGLE; // Alphabet and allowed symbols diff --git a/posthog/hogql/grammar/HogQLLexer.interp b/posthog/hogql/grammar/HogQLLexer.interp index 1e16722540c81..20cdc41b91f12 100644 --- a/posthog/hogql/grammar/HogQLLexer.interp +++ b/posthog/hogql/grammar/HogQLLexer.interp @@ -743,4 +743,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 233, 2164, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 2, 136, 7, 136, 2, 137, 7, 137, 2, 138, 7, 138, 2, 139, 7, 139, 2, 140, 7, 140, 2, 141, 7, 141, 2, 142, 7, 142, 2, 143, 7, 143, 2, 144, 7, 144, 2, 145, 7, 145, 2, 146, 7, 146, 2, 147, 7, 147, 2, 148, 7, 148, 2, 149, 7, 149, 2, 150, 7, 150, 2, 151, 7, 151, 2, 152, 7, 152, 2, 153, 7, 153, 2, 154, 7, 154, 2, 155, 7, 155, 2, 156, 7, 156, 2, 157, 7, 157, 2, 158, 7, 158, 2, 159, 7, 159, 2, 160, 7, 160, 2, 161, 7, 161, 2, 162, 7, 162, 2, 163, 7, 163, 2, 164, 7, 164, 2, 165, 7, 165, 2, 166, 7, 166, 2, 167, 7, 167, 2, 168, 7, 168, 2, 169, 7, 169, 2, 170, 7, 170, 2, 171, 7, 171, 2, 172, 7, 172, 2, 173, 7, 173, 2, 174, 7, 174, 2, 175, 7, 175, 2, 176, 7, 176, 2, 177, 7, 177, 2, 178, 7, 178, 2, 179, 7, 179, 2, 180, 7, 180, 2, 181, 7, 181, 2, 182, 7, 182, 2, 183, 7, 183, 2, 184, 7, 184, 2, 185, 7, 185, 2, 186, 7, 186, 2, 187, 7, 187, 2, 188, 7, 188, 2, 189, 7, 189, 2, 190, 7, 190, 2, 191, 7, 191, 2, 192, 7, 192, 2, 193, 7, 193, 2, 194, 7, 194, 2, 195, 7, 195, 2, 196, 7, 196, 2, 197, 7, 197, 2, 198, 7, 198, 2, 199, 7, 199, 2, 200, 7, 200, 2, 201, 7, 201, 2, 202, 7, 202, 2, 203, 7, 203, 2, 204, 7, 204, 2, 205, 7, 205, 2, 206, 7, 206, 2, 207, 7, 207, 2, 208, 7, 208, 2, 209, 7, 209, 2, 210, 7, 210, 2, 211, 7, 211, 2, 212, 7, 212, 2, 213, 7, 213, 2, 214, 7, 214, 2, 215, 7, 215, 2, 216, 7, 216, 2, 217, 7, 217, 2, 218, 7, 218, 2, 219, 7, 219, 2, 220, 7, 220, 2, 221, 7, 221, 2, 222, 7, 222, 2, 223, 7, 223, 2, 224, 7, 224, 2, 225, 7, 225, 2, 226, 7, 226, 2, 227, 7, 227, 2, 228, 7, 228, 2, 229, 7, 229, 2, 230, 7, 230, 2, 231, 7, 231, 2, 232, 7, 232, 2, 233, 7, 233, 2, 234, 7, 234, 2, 235, 7, 235, 2, 236, 7, 236, 2, 237, 7, 237, 2, 238, 7, 238, 2, 239, 7, 239, 2, 240, 7, 240, 2, 241, 7, 241, 2, 242, 7, 242, 2, 243, 7, 243, 2, 244, 7, 244, 2, 245, 7, 245, 2, 246, 7, 246, 2, 247, 7, 247, 2, 248, 7, 248, 2, 249, 7, 249, 2, 250, 7, 250, 2, 251, 7, 251, 2, 252, 7, 252, 2, 253, 7, 253, 2, 254, 7, 254, 2, 255, 7, 255, 2, 256, 7, 256, 2, 257, 7, 257, 2, 258, 7, 258, 2, 259, 7, 259, 2, 260, 7, 260, 2, 261, 7, 261, 2, 262, 7, 262, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 3, 10, 590, 8, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 12, 1, 12, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 17, 1, 17, 1, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 1, 35, 1, 35, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 46, 1, 46, 1, 46, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 75, 1, 75, 1, 75, 1, 76, 1, 76, 1, 76, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 78, 1, 78, 1, 78, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 3, 80, 1088, 8, 80, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 86, 1, 86, 1, 86, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 89, 1, 89, 1, 89, 1, 89, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 103, 1, 103, 1, 103, 1, 103, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 105, 1, 105, 1, 105, 1, 105, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 111, 1, 111, 1, 111, 1, 111, 1, 112, 1, 112, 1, 112, 1, 113, 1, 113, 1, 113, 1, 113, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 117, 1, 117, 1, 117, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 119, 1, 119, 1, 119, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 140, 1, 140, 1, 140, 1, 140, 1, 141, 1, 141, 1, 141, 1, 141, 1, 141, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 147, 1, 147, 1, 147, 1, 147, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 149, 1, 149, 1, 149, 1, 149, 1, 149, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 151, 1, 151, 1, 151, 1, 151, 1, 151, 1, 151, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 154, 1, 154, 1, 154, 1, 154, 1, 154, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 162, 1, 162, 1, 162, 1, 162, 1, 162, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 165, 1, 165, 1, 165, 1, 166, 1, 166, 1, 166, 1, 166, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 169, 1, 169, 1, 169, 1, 169, 1, 169, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 171, 1, 171, 1, 171, 1, 171, 1, 172, 1, 172, 1, 172, 1, 172, 1, 172, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 174, 1, 174, 1, 174, 1, 174, 1, 174, 1, 174, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 176, 1, 176, 1, 176, 1, 176, 1, 177, 1, 177, 1, 177, 1, 177, 1, 177, 1, 177, 1, 178, 1, 178, 1, 178, 1, 178, 1, 178, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 180, 1, 180, 1, 180, 1, 180, 1, 180, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 182, 1, 182, 1, 182, 1, 182, 1, 182, 1, 182, 1, 183, 1, 183, 1, 183, 1, 183, 1, 183, 1, 184, 1, 184, 1, 184, 1, 184, 1, 184, 1, 185, 1, 185, 1, 185, 1, 185, 1, 185, 1, 185, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 187, 1, 187, 1, 187, 1, 187, 1, 187, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 3, 188, 1802, 8, 188, 1, 189, 1, 189, 1, 189, 1, 189, 1, 189, 1, 189, 1, 190, 1, 190, 1, 190, 1, 190, 1, 190, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 3, 191, 1845, 8, 191, 1, 192, 1, 192, 1, 192, 3, 192, 1850, 8, 192, 1, 192, 1, 192, 1, 192, 1, 192, 5, 192, 1856, 8, 192, 10, 192, 12, 192, 1859, 9, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 5, 192, 1867, 8, 192, 10, 192, 12, 192, 1870, 9, 192, 1, 192, 1, 192, 3, 192, 1874, 8, 192, 1, 193, 1, 193, 1, 193, 5, 193, 1879, 8, 193, 10, 193, 12, 193, 1882, 9, 193, 1, 193, 1, 193, 3, 193, 1886, 8, 193, 1, 193, 1, 193, 3, 193, 1890, 8, 193, 1, 193, 4, 193, 1893, 8, 193, 11, 193, 12, 193, 1894, 1, 193, 1, 193, 1, 193, 3, 193, 1900, 8, 193, 1, 193, 1, 193, 3, 193, 1904, 8, 193, 1, 193, 4, 193, 1907, 8, 193, 11, 193, 12, 193, 1908, 1, 193, 1, 193, 1, 193, 5, 193, 1914, 8, 193, 10, 193, 12, 193, 1917, 9, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1922, 8, 193, 1, 193, 4, 193, 1925, 8, 193, 11, 193, 12, 193, 1926, 1, 193, 1, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1934, 8, 193, 1, 193, 4, 193, 1937, 8, 193, 11, 193, 12, 193, 1938, 1, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1945, 8, 193, 1, 193, 4, 193, 1948, 8, 193, 11, 193, 12, 193, 1949, 3, 193, 1952, 8, 193, 1, 194, 1, 194, 4, 194, 1956, 8, 194, 11, 194, 12, 194, 1957, 1, 195, 4, 195, 1961, 8, 195, 11, 195, 12, 195, 1962, 1, 196, 1, 196, 1, 196, 4, 196, 1968, 8, 196, 11, 196, 12, 196, 1969, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 5, 197, 1978, 8, 197, 10, 197, 12, 197, 1981, 9, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 5, 197, 1991, 8, 197, 10, 197, 12, 197, 1994, 9, 197, 1, 197, 1, 197, 3, 197, 1998, 8, 197, 1, 198, 1, 198, 1, 199, 1, 199, 1, 200, 1, 200, 1, 201, 1, 201, 1, 202, 1, 202, 1, 203, 1, 203, 1, 204, 1, 204, 1, 205, 1, 205, 1, 206, 1, 206, 1, 207, 1, 207, 1, 208, 1, 208, 1, 209, 1, 209, 1, 210, 1, 210, 1, 211, 1, 211, 1, 212, 1, 212, 1, 213, 1, 213, 1, 214, 1, 214, 1, 215, 1, 215, 1, 216, 1, 216, 1, 217, 1, 217, 1, 218, 1, 218, 1, 219, 1, 219, 1, 220, 1, 220, 1, 221, 1, 221, 1, 222, 1, 222, 1, 223, 1, 223, 1, 224, 1, 224, 1, 225, 1, 225, 1, 226, 1, 226, 1, 227, 1, 227, 1, 228, 1, 228, 1, 228, 1, 229, 1, 229, 1, 230, 1, 230, 1, 231, 1, 231, 1, 232, 1, 232, 1, 233, 1, 233, 1, 234, 1, 234, 1, 234, 1, 235, 1, 235, 1, 236, 1, 236, 1, 237, 1, 237, 1, 238, 1, 238, 1, 238, 1, 239, 1, 239, 1, 240, 1, 240, 1, 240, 1, 241, 1, 241, 1, 242, 1, 242, 1, 243, 1, 243, 1, 244, 1, 244, 1, 245, 1, 245, 1, 245, 1, 246, 1, 246, 1, 247, 1, 247, 1, 248, 1, 248, 1, 248, 1, 248, 3, 248, 2109, 8, 248, 1, 249, 1, 249, 1, 250, 1, 250, 1, 251, 1, 251, 1, 252, 1, 252, 1, 253, 1, 253, 1, 254, 1, 254, 1, 255, 1, 255, 1, 256, 1, 256, 1, 257, 1, 257, 1, 258, 1, 258, 1, 259, 1, 259, 1, 260, 1, 260, 1, 260, 1, 260, 5, 260, 2137, 8, 260, 10, 260, 12, 260, 2140, 9, 260, 1, 260, 1, 260, 1, 260, 1, 260, 1, 260, 1, 261, 1, 261, 1, 261, 1, 261, 5, 261, 2151, 8, 261, 10, 261, 12, 261, 2154, 9, 261, 1, 261, 3, 261, 2157, 8, 261, 1, 261, 1, 261, 1, 262, 1, 262, 1, 262, 1, 262, 1, 2138, 0, 263, 1, 1, 3, 2, 5, 3, 7, 4, 9, 5, 11, 6, 13, 7, 15, 8, 17, 9, 19, 10, 21, 11, 23, 12, 25, 13, 27, 14, 29, 15, 31, 16, 33, 17, 35, 18, 37, 19, 39, 20, 41, 21, 43, 22, 45, 23, 47, 24, 49, 25, 51, 26, 53, 27, 55, 28, 57, 29, 59, 30, 61, 31, 63, 32, 65, 33, 67, 34, 69, 35, 71, 36, 73, 37, 75, 38, 77, 39, 79, 40, 81, 41, 83, 42, 85, 43, 87, 44, 89, 45, 91, 46, 93, 47, 95, 48, 97, 49, 99, 50, 101, 51, 103, 52, 105, 53, 107, 54, 109, 55, 111, 56, 113, 57, 115, 58, 117, 59, 119, 60, 121, 61, 123, 62, 125, 63, 127, 64, 129, 65, 131, 66, 133, 67, 135, 68, 137, 69, 139, 70, 141, 71, 143, 72, 145, 73, 147, 74, 149, 75, 151, 76, 153, 77, 155, 78, 157, 79, 159, 80, 161, 81, 163, 82, 165, 83, 167, 84, 169, 85, 171, 86, 173, 87, 175, 88, 177, 89, 179, 90, 181, 91, 183, 92, 185, 93, 187, 94, 189, 95, 191, 96, 193, 97, 195, 98, 197, 99, 199, 100, 201, 101, 203, 102, 205, 103, 207, 104, 209, 105, 211, 106, 213, 107, 215, 108, 217, 109, 219, 110, 221, 111, 223, 112, 225, 113, 227, 114, 229, 115, 231, 116, 233, 117, 235, 118, 237, 119, 239, 120, 241, 121, 243, 122, 245, 123, 247, 124, 249, 125, 251, 126, 253, 127, 255, 128, 257, 129, 259, 130, 261, 131, 263, 132, 265, 133, 267, 134, 269, 135, 271, 136, 273, 137, 275, 138, 277, 139, 279, 140, 281, 141, 283, 142, 285, 143, 287, 144, 289, 145, 291, 146, 293, 147, 295, 148, 297, 149, 299, 150, 301, 151, 303, 152, 305, 153, 307, 154, 309, 155, 311, 156, 313, 157, 315, 158, 317, 159, 319, 160, 321, 161, 323, 162, 325, 163, 327, 164, 329, 165, 331, 166, 333, 167, 335, 168, 337, 169, 339, 170, 341, 171, 343, 172, 345, 173, 347, 174, 349, 175, 351, 176, 353, 177, 355, 178, 357, 179, 359, 180, 361, 181, 363, 182, 365, 183, 367, 184, 369, 185, 371, 186, 373, 187, 375, 188, 377, 189, 379, 190, 381, 191, 383, 192, 385, 193, 387, 194, 389, 195, 391, 196, 393, 197, 395, 198, 397, 0, 399, 0, 401, 0, 403, 0, 405, 0, 407, 0, 409, 0, 411, 0, 413, 0, 415, 0, 417, 0, 419, 0, 421, 0, 423, 0, 425, 0, 427, 0, 429, 0, 431, 0, 433, 0, 435, 0, 437, 0, 439, 0, 441, 0, 443, 0, 445, 0, 447, 0, 449, 0, 451, 0, 453, 0, 455, 0, 457, 199, 459, 200, 461, 201, 463, 202, 465, 203, 467, 204, 469, 205, 471, 206, 473, 207, 475, 208, 477, 209, 479, 210, 481, 211, 483, 212, 485, 213, 487, 214, 489, 215, 491, 216, 493, 217, 495, 218, 497, 219, 499, 220, 501, 221, 503, 222, 505, 223, 507, 224, 509, 225, 511, 226, 513, 227, 515, 228, 517, 229, 519, 230, 521, 231, 523, 232, 525, 233, 1, 0, 36, 2, 0, 92, 92, 96, 96, 2, 0, 39, 39, 92, 92, 2, 0, 34, 34, 92, 92, 2, 0, 65, 65, 97, 97, 2, 0, 66, 66, 98, 98, 2, 0, 67, 67, 99, 99, 2, 0, 68, 68, 100, 100, 2, 0, 69, 69, 101, 101, 2, 0, 70, 70, 102, 102, 2, 0, 71, 71, 103, 103, 2, 0, 72, 72, 104, 104, 2, 0, 73, 73, 105, 105, 2, 0, 74, 74, 106, 106, 2, 0, 75, 75, 107, 107, 2, 0, 76, 76, 108, 108, 2, 0, 77, 77, 109, 109, 2, 0, 78, 78, 110, 110, 2, 0, 79, 79, 111, 111, 2, 0, 80, 80, 112, 112, 2, 0, 81, 81, 113, 113, 2, 0, 82, 82, 114, 114, 2, 0, 83, 83, 115, 115, 2, 0, 84, 84, 116, 116, 2, 0, 85, 85, 117, 117, 2, 0, 86, 86, 118, 118, 2, 0, 87, 87, 119, 119, 2, 0, 88, 88, 120, 120, 2, 0, 89, 89, 121, 121, 2, 0, 90, 90, 122, 122, 2, 0, 65, 90, 97, 122, 1, 0, 48, 55, 1, 0, 48, 57, 3, 0, 48, 57, 65, 70, 97, 102, 2, 0, 10, 10, 13, 13, 2, 1, 10, 10, 13, 13, 2, 0, 9, 13, 32, 32, 2191, 0, 1, 1, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 11, 1, 0, 0, 0, 0, 13, 1, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 17, 1, 0, 0, 0, 0, 19, 1, 0, 0, 0, 0, 21, 1, 0, 0, 0, 0, 23, 1, 0, 0, 0, 0, 25, 1, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 29, 1, 0, 0, 0, 0, 31, 1, 0, 0, 0, 0, 33, 1, 0, 0, 0, 0, 35, 1, 0, 0, 0, 0, 37, 1, 0, 0, 0, 0, 39, 1, 0, 0, 0, 0, 41, 1, 0, 0, 0, 0, 43, 1, 0, 0, 0, 0, 45, 1, 0, 0, 0, 0, 47, 1, 0, 0, 0, 0, 49, 1, 0, 0, 0, 0, 51, 1, 0, 0, 0, 0, 53, 1, 0, 0, 0, 0, 55, 1, 0, 0, 0, 0, 57, 1, 0, 0, 0, 0, 59, 1, 0, 0, 0, 0, 61, 1, 0, 0, 0, 0, 63, 1, 0, 0, 0, 0, 65, 1, 0, 0, 0, 0, 67, 1, 0, 0, 0, 0, 69, 1, 0, 0, 0, 0, 71, 1, 0, 0, 0, 0, 73, 1, 0, 0, 0, 0, 75, 1, 0, 0, 0, 0, 77, 1, 0, 0, 0, 0, 79, 1, 0, 0, 0, 0, 81, 1, 0, 0, 0, 0, 83, 1, 0, 0, 0, 0, 85, 1, 0, 0, 0, 0, 87, 1, 0, 0, 0, 0, 89, 1, 0, 0, 0, 0, 91, 1, 0, 0, 0, 0, 93, 1, 0, 0, 0, 0, 95, 1, 0, 0, 0, 0, 97, 1, 0, 0, 0, 0, 99, 1, 0, 0, 0, 0, 101, 1, 0, 0, 0, 0, 103, 1, 0, 0, 0, 0, 105, 1, 0, 0, 0, 0, 107, 1, 0, 0, 0, 0, 109, 1, 0, 0, 0, 0, 111, 1, 0, 0, 0, 0, 113, 1, 0, 0, 0, 0, 115, 1, 0, 0, 0, 0, 117, 1, 0, 0, 0, 0, 119, 1, 0, 0, 0, 0, 121, 1, 0, 0, 0, 0, 123, 1, 0, 0, 0, 0, 125, 1, 0, 0, 0, 0, 127, 1, 0, 0, 0, 0, 129, 1, 0, 0, 0, 0, 131, 1, 0, 0, 0, 0, 133, 1, 0, 0, 0, 0, 135, 1, 0, 0, 0, 0, 137, 1, 0, 0, 0, 0, 139, 1, 0, 0, 0, 0, 141, 1, 0, 0, 0, 0, 143, 1, 0, 0, 0, 0, 145, 1, 0, 0, 0, 0, 147, 1, 0, 0, 0, 0, 149, 1, 0, 0, 0, 0, 151, 1, 0, 0, 0, 0, 153, 1, 0, 0, 0, 0, 155, 1, 0, 0, 0, 0, 157, 1, 0, 0, 0, 0, 159, 1, 0, 0, 0, 0, 161, 1, 0, 0, 0, 0, 163, 1, 0, 0, 0, 0, 165, 1, 0, 0, 0, 0, 167, 1, 0, 0, 0, 0, 169, 1, 0, 0, 0, 0, 171, 1, 0, 0, 0, 0, 173, 1, 0, 0, 0, 0, 175, 1, 0, 0, 0, 0, 177, 1, 0, 0, 0, 0, 179, 1, 0, 0, 0, 0, 181, 1, 0, 0, 0, 0, 183, 1, 0, 0, 0, 0, 185, 1, 0, 0, 0, 0, 187, 1, 0, 0, 0, 0, 189, 1, 0, 0, 0, 0, 191, 1, 0, 0, 0, 0, 193, 1, 0, 0, 0, 0, 195, 1, 0, 0, 0, 0, 197, 1, 0, 0, 0, 0, 199, 1, 0, 0, 0, 0, 201, 1, 0, 0, 0, 0, 203, 1, 0, 0, 0, 0, 205, 1, 0, 0, 0, 0, 207, 1, 0, 0, 0, 0, 209, 1, 0, 0, 0, 0, 211, 1, 0, 0, 0, 0, 213, 1, 0, 0, 0, 0, 215, 1, 0, 0, 0, 0, 217, 1, 0, 0, 0, 0, 219, 1, 0, 0, 0, 0, 221, 1, 0, 0, 0, 0, 223, 1, 0, 0, 0, 0, 225, 1, 0, 0, 0, 0, 227, 1, 0, 0, 0, 0, 229, 1, 0, 0, 0, 0, 231, 1, 0, 0, 0, 0, 233, 1, 0, 0, 0, 0, 235, 1, 0, 0, 0, 0, 237, 1, 0, 0, 0, 0, 239, 1, 0, 0, 0, 0, 241, 1, 0, 0, 0, 0, 243, 1, 0, 0, 0, 0, 245, 1, 0, 0, 0, 0, 247, 1, 0, 0, 0, 0, 249, 1, 0, 0, 0, 0, 251, 1, 0, 0, 0, 0, 253, 1, 0, 0, 0, 0, 255, 1, 0, 0, 0, 0, 257, 1, 0, 0, 0, 0, 259, 1, 0, 0, 0, 0, 261, 1, 0, 0, 0, 0, 263, 1, 0, 0, 0, 0, 265, 1, 0, 0, 0, 0, 267, 1, 0, 0, 0, 0, 269, 1, 0, 0, 0, 0, 271, 1, 0, 0, 0, 0, 273, 1, 0, 0, 0, 0, 275, 1, 0, 0, 0, 0, 277, 1, 0, 0, 0, 0, 279, 1, 0, 0, 0, 0, 281, 1, 0, 0, 0, 0, 283, 1, 0, 0, 0, 0, 285, 1, 0, 0, 0, 0, 287, 1, 0, 0, 0, 0, 289, 1, 0, 0, 0, 0, 291, 1, 0, 0, 0, 0, 293, 1, 0, 0, 0, 0, 295, 1, 0, 0, 0, 0, 297, 1, 0, 0, 0, 0, 299, 1, 0, 0, 0, 0, 301, 1, 0, 0, 0, 0, 303, 1, 0, 0, 0, 0, 305, 1, 0, 0, 0, 0, 307, 1, 0, 0, 0, 0, 309, 1, 0, 0, 0, 0, 311, 1, 0, 0, 0, 0, 313, 1, 0, 0, 0, 0, 315, 1, 0, 0, 0, 0, 317, 1, 0, 0, 0, 0, 319, 1, 0, 0, 0, 0, 321, 1, 0, 0, 0, 0, 323, 1, 0, 0, 0, 0, 325, 1, 0, 0, 0, 0, 327, 1, 0, 0, 0, 0, 329, 1, 0, 0, 0, 0, 331, 1, 0, 0, 0, 0, 333, 1, 0, 0, 0, 0, 335, 1, 0, 0, 0, 0, 337, 1, 0, 0, 0, 0, 339, 1, 0, 0, 0, 0, 341, 1, 0, 0, 0, 0, 343, 1, 0, 0, 0, 0, 345, 1, 0, 0, 0, 0, 347, 1, 0, 0, 0, 0, 349, 1, 0, 0, 0, 0, 351, 1, 0, 0, 0, 0, 353, 1, 0, 0, 0, 0, 355, 1, 0, 0, 0, 0, 357, 1, 0, 0, 0, 0, 359, 1, 0, 0, 0, 0, 361, 1, 0, 0, 0, 0, 363, 1, 0, 0, 0, 0, 365, 1, 0, 0, 0, 0, 367, 1, 0, 0, 0, 0, 369, 1, 0, 0, 0, 0, 371, 1, 0, 0, 0, 0, 373, 1, 0, 0, 0, 0, 375, 1, 0, 0, 0, 0, 377, 1, 0, 0, 0, 0, 379, 1, 0, 0, 0, 0, 381, 1, 0, 0, 0, 0, 383, 1, 0, 0, 0, 0, 385, 1, 0, 0, 0, 0, 387, 1, 0, 0, 0, 0, 389, 1, 0, 0, 0, 0, 391, 1, 0, 0, 0, 0, 393, 1, 0, 0, 0, 0, 395, 1, 0, 0, 0, 0, 457, 1, 0, 0, 0, 0, 459, 1, 0, 0, 0, 0, 461, 1, 0, 0, 0, 0, 463, 1, 0, 0, 0, 0, 465, 1, 0, 0, 0, 0, 467, 1, 0, 0, 0, 0, 469, 1, 0, 0, 0, 0, 471, 1, 0, 0, 0, 0, 473, 1, 0, 0, 0, 0, 475, 1, 0, 0, 0, 0, 477, 1, 0, 0, 0, 0, 479, 1, 0, 0, 0, 0, 481, 1, 0, 0, 0, 0, 483, 1, 0, 0, 0, 0, 485, 1, 0, 0, 0, 0, 487, 1, 0, 0, 0, 0, 489, 1, 0, 0, 0, 0, 491, 1, 0, 0, 0, 0, 493, 1, 0, 0, 0, 0, 495, 1, 0, 0, 0, 0, 497, 1, 0, 0, 0, 0, 499, 1, 0, 0, 0, 0, 501, 1, 0, 0, 0, 0, 503, 1, 0, 0, 0, 0, 505, 1, 0, 0, 0, 0, 507, 1, 0, 0, 0, 0, 509, 1, 0, 0, 0, 0, 511, 1, 0, 0, 0, 0, 513, 1, 0, 0, 0, 0, 515, 1, 0, 0, 0, 0, 517, 1, 0, 0, 0, 0, 519, 1, 0, 0, 0, 0, 521, 1, 0, 0, 0, 0, 523, 1, 0, 0, 0, 0, 525, 1, 0, 0, 0, 1, 527, 1, 0, 0, 0, 3, 531, 1, 0, 0, 0, 5, 537, 1, 0, 0, 0, 7, 543, 1, 0, 0, 0, 9, 547, 1, 0, 0, 0, 11, 553, 1, 0, 0, 0, 13, 557, 1, 0, 0, 0, 15, 562, 1, 0, 0, 0, 17, 566, 1, 0, 0, 0, 19, 572, 1, 0, 0, 0, 21, 589, 1, 0, 0, 0, 23, 591, 1, 0, 0, 0, 25, 596, 1, 0, 0, 0, 27, 600, 1, 0, 0, 0, 29, 606, 1, 0, 0, 0, 31, 613, 1, 0, 0, 0, 33, 621, 1, 0, 0, 0, 35, 626, 1, 0, 0, 0, 37, 629, 1, 0, 0, 0, 39, 634, 1, 0, 0, 0, 41, 639, 1, 0, 0, 0, 43, 645, 1, 0, 0, 0, 45, 651, 1, 0, 0, 0, 47, 659, 1, 0, 0, 0, 49, 665, 1, 0, 0, 0, 51, 673, 1, 0, 0, 0, 53, 680, 1, 0, 0, 0, 55, 688, 1, 0, 0, 0, 57, 699, 1, 0, 0, 0, 59, 706, 1, 0, 0, 0, 61, 712, 1, 0, 0, 0, 63, 717, 1, 0, 0, 0, 65, 725, 1, 0, 0, 0, 67, 734, 1, 0, 0, 0, 69, 744, 1, 0, 0, 0, 71, 749, 1, 0, 0, 0, 73, 753, 1, 0, 0, 0, 75, 765, 1, 0, 0, 0, 77, 773, 1, 0, 0, 0, 79, 779, 1, 0, 0, 0, 81, 786, 1, 0, 0, 0, 83, 791, 1, 0, 0, 0, 85, 802, 1, 0, 0, 0, 87, 811, 1, 0, 0, 0, 89, 818, 1, 0, 0, 0, 91, 831, 1, 0, 0, 0, 93, 842, 1, 0, 0, 0, 95, 847, 1, 0, 0, 0, 97, 856, 1, 0, 0, 0, 99, 868, 1, 0, 0, 0, 101, 873, 1, 0, 0, 0, 103, 878, 1, 0, 0, 0, 105, 882, 1, 0, 0, 0, 107, 889, 1, 0, 0, 0, 109, 896, 1, 0, 0, 0, 111, 903, 1, 0, 0, 0, 113, 911, 1, 0, 0, 0, 115, 922, 1, 0, 0, 0, 117, 930, 1, 0, 0, 0, 119, 938, 1, 0, 0, 0, 121, 944, 1, 0, 0, 0, 123, 950, 1, 0, 0, 0, 125, 956, 1, 0, 0, 0, 127, 966, 1, 0, 0, 0, 129, 970, 1, 0, 0, 0, 131, 977, 1, 0, 0, 0, 133, 984, 1, 0, 0, 0, 135, 989, 1, 0, 0, 0, 137, 994, 1, 0, 0, 0, 139, 1003, 1, 0, 0, 0, 141, 1010, 1, 0, 0, 0, 143, 1022, 1, 0, 0, 0, 145, 1028, 1, 0, 0, 0, 147, 1035, 1, 0, 0, 0, 149, 1048, 1, 0, 0, 0, 151, 1053, 1, 0, 0, 0, 153, 1056, 1, 0, 0, 0, 155, 1059, 1, 0, 0, 0, 157, 1065, 1, 0, 0, 0, 159, 1068, 1, 0, 0, 0, 161, 1087, 1, 0, 0, 0, 163, 1089, 1, 0, 0, 0, 165, 1099, 1, 0, 0, 0, 167, 1105, 1, 0, 0, 0, 169, 1112, 1, 0, 0, 0, 171, 1121, 1, 0, 0, 0, 173, 1126, 1, 0, 0, 0, 175, 1129, 1, 0, 0, 0, 177, 1142, 1, 0, 0, 0, 179, 1147, 1, 0, 0, 0, 181, 1151, 1, 0, 0, 0, 183, 1156, 1, 0, 0, 0, 185, 1161, 1, 0, 0, 0, 187, 1168, 1, 0, 0, 0, 189, 1176, 1, 0, 0, 0, 191, 1181, 1, 0, 0, 0, 193, 1190, 1, 0, 0, 0, 195, 1195, 1, 0, 0, 0, 197, 1201, 1, 0, 0, 0, 199, 1206, 1, 0, 0, 0, 201, 1212, 1, 0, 0, 0, 203, 1217, 1, 0, 0, 0, 205, 1229, 1, 0, 0, 0, 207, 1242, 1, 0, 0, 0, 209, 1246, 1, 0, 0, 0, 211, 1253, 1, 0, 0, 0, 213, 1257, 1, 0, 0, 0, 215, 1264, 1, 0, 0, 0, 217, 1271, 1, 0, 0, 0, 219, 1277, 1, 0, 0, 0, 221, 1282, 1, 0, 0, 0, 223, 1291, 1, 0, 0, 0, 225, 1295, 1, 0, 0, 0, 227, 1298, 1, 0, 0, 0, 229, 1302, 1, 0, 0, 0, 231, 1307, 1, 0, 0, 0, 233, 1313, 1, 0, 0, 0, 235, 1320, 1, 0, 0, 0, 237, 1323, 1, 0, 0, 0, 239, 1332, 1, 0, 0, 0, 241, 1335, 1, 0, 0, 0, 243, 1341, 1, 0, 0, 0, 245, 1347, 1, 0, 0, 0, 247, 1355, 1, 0, 0, 0, 249, 1360, 1, 0, 0, 0, 251, 1370, 1, 0, 0, 0, 253, 1379, 1, 0, 0, 0, 255, 1389, 1, 0, 0, 0, 257, 1398, 1, 0, 0, 0, 259, 1406, 1, 0, 0, 0, 261, 1417, 1, 0, 0, 0, 263, 1425, 1, 0, 0, 0, 265, 1431, 1, 0, 0, 0, 267, 1438, 1, 0, 0, 0, 269, 1445, 1, 0, 0, 0, 271, 1452, 1, 0, 0, 0, 273, 1460, 1, 0, 0, 0, 275, 1468, 1, 0, 0, 0, 277, 1479, 1, 0, 0, 0, 279, 1485, 1, 0, 0, 0, 281, 1492, 1, 0, 0, 0, 283, 1496, 1, 0, 0, 0, 285, 1501, 1, 0, 0, 0, 287, 1508, 1, 0, 0, 0, 289, 1515, 1, 0, 0, 0, 291, 1522, 1, 0, 0, 0, 293, 1527, 1, 0, 0, 0, 295, 1533, 1, 0, 0, 0, 297, 1537, 1, 0, 0, 0, 299, 1546, 1, 0, 0, 0, 301, 1551, 1, 0, 0, 0, 303, 1558, 1, 0, 0, 0, 305, 1564, 1, 0, 0, 0, 307, 1569, 1, 0, 0, 0, 309, 1579, 1, 0, 0, 0, 311, 1584, 1, 0, 0, 0, 313, 1591, 1, 0, 0, 0, 315, 1598, 1, 0, 0, 0, 317, 1604, 1, 0, 0, 0, 319, 1611, 1, 0, 0, 0, 321, 1621, 1, 0, 0, 0, 323, 1626, 1, 0, 0, 0, 325, 1631, 1, 0, 0, 0, 327, 1636, 1, 0, 0, 0, 329, 1644, 1, 0, 0, 0, 331, 1654, 1, 0, 0, 0, 333, 1657, 1, 0, 0, 0, 335, 1661, 1, 0, 0, 0, 337, 1668, 1, 0, 0, 0, 339, 1677, 1, 0, 0, 0, 341, 1682, 1, 0, 0, 0, 343, 1691, 1, 0, 0, 0, 345, 1695, 1, 0, 0, 0, 347, 1700, 1, 0, 0, 0, 349, 1710, 1, 0, 0, 0, 351, 1716, 1, 0, 0, 0, 353, 1723, 1, 0, 0, 0, 355, 1727, 1, 0, 0, 0, 357, 1733, 1, 0, 0, 0, 359, 1738, 1, 0, 0, 0, 361, 1745, 1, 0, 0, 0, 363, 1750, 1, 0, 0, 0, 365, 1757, 1, 0, 0, 0, 367, 1763, 1, 0, 0, 0, 369, 1768, 1, 0, 0, 0, 371, 1773, 1, 0, 0, 0, 373, 1779, 1, 0, 0, 0, 375, 1786, 1, 0, 0, 0, 377, 1801, 1, 0, 0, 0, 379, 1803, 1, 0, 0, 0, 381, 1809, 1, 0, 0, 0, 383, 1844, 1, 0, 0, 0, 385, 1873, 1, 0, 0, 0, 387, 1951, 1, 0, 0, 0, 389, 1953, 1, 0, 0, 0, 391, 1960, 1, 0, 0, 0, 393, 1964, 1, 0, 0, 0, 395, 1997, 1, 0, 0, 0, 397, 1999, 1, 0, 0, 0, 399, 2001, 1, 0, 0, 0, 401, 2003, 1, 0, 0, 0, 403, 2005, 1, 0, 0, 0, 405, 2007, 1, 0, 0, 0, 407, 2009, 1, 0, 0, 0, 409, 2011, 1, 0, 0, 0, 411, 2013, 1, 0, 0, 0, 413, 2015, 1, 0, 0, 0, 415, 2017, 1, 0, 0, 0, 417, 2019, 1, 0, 0, 0, 419, 2021, 1, 0, 0, 0, 421, 2023, 1, 0, 0, 0, 423, 2025, 1, 0, 0, 0, 425, 2027, 1, 0, 0, 0, 427, 2029, 1, 0, 0, 0, 429, 2031, 1, 0, 0, 0, 431, 2033, 1, 0, 0, 0, 433, 2035, 1, 0, 0, 0, 435, 2037, 1, 0, 0, 0, 437, 2039, 1, 0, 0, 0, 439, 2041, 1, 0, 0, 0, 441, 2043, 1, 0, 0, 0, 443, 2045, 1, 0, 0, 0, 445, 2047, 1, 0, 0, 0, 447, 2049, 1, 0, 0, 0, 449, 2051, 1, 0, 0, 0, 451, 2053, 1, 0, 0, 0, 453, 2055, 1, 0, 0, 0, 455, 2057, 1, 0, 0, 0, 457, 2059, 1, 0, 0, 0, 459, 2062, 1, 0, 0, 0, 461, 2064, 1, 0, 0, 0, 463, 2066, 1, 0, 0, 0, 465, 2068, 1, 0, 0, 0, 467, 2070, 1, 0, 0, 0, 469, 2072, 1, 0, 0, 0, 471, 2075, 1, 0, 0, 0, 473, 2077, 1, 0, 0, 0, 475, 2079, 1, 0, 0, 0, 477, 2081, 1, 0, 0, 0, 479, 2084, 1, 0, 0, 0, 481, 2086, 1, 0, 0, 0, 483, 2089, 1, 0, 0, 0, 485, 2091, 1, 0, 0, 0, 487, 2093, 1, 0, 0, 0, 489, 2095, 1, 0, 0, 0, 491, 2097, 1, 0, 0, 0, 493, 2100, 1, 0, 0, 0, 495, 2102, 1, 0, 0, 0, 497, 2108, 1, 0, 0, 0, 499, 2110, 1, 0, 0, 0, 501, 2112, 1, 0, 0, 0, 503, 2114, 1, 0, 0, 0, 505, 2116, 1, 0, 0, 0, 507, 2118, 1, 0, 0, 0, 509, 2120, 1, 0, 0, 0, 511, 2122, 1, 0, 0, 0, 513, 2124, 1, 0, 0, 0, 515, 2126, 1, 0, 0, 0, 517, 2128, 1, 0, 0, 0, 519, 2130, 1, 0, 0, 0, 521, 2132, 1, 0, 0, 0, 523, 2146, 1, 0, 0, 0, 525, 2160, 1, 0, 0, 0, 527, 528, 3, 397, 198, 0, 528, 529, 3, 403, 201, 0, 529, 530, 3, 403, 201, 0, 530, 2, 1, 0, 0, 0, 531, 532, 3, 397, 198, 0, 532, 533, 3, 407, 203, 0, 533, 534, 3, 435, 217, 0, 534, 535, 3, 405, 202, 0, 535, 536, 3, 431, 215, 0, 536, 4, 1, 0, 0, 0, 537, 538, 3, 397, 198, 0, 538, 539, 3, 419, 209, 0, 539, 540, 3, 413, 206, 0, 540, 541, 3, 397, 198, 0, 541, 542, 3, 433, 216, 0, 542, 6, 1, 0, 0, 0, 543, 544, 3, 397, 198, 0, 544, 545, 3, 419, 209, 0, 545, 546, 3, 419, 209, 0, 546, 8, 1, 0, 0, 0, 547, 548, 3, 397, 198, 0, 548, 549, 3, 419, 209, 0, 549, 550, 3, 435, 217, 0, 550, 551, 3, 405, 202, 0, 551, 552, 3, 431, 215, 0, 552, 10, 1, 0, 0, 0, 553, 554, 3, 397, 198, 0, 554, 555, 3, 423, 211, 0, 555, 556, 3, 403, 201, 0, 556, 12, 1, 0, 0, 0, 557, 558, 3, 397, 198, 0, 558, 559, 3, 423, 211, 0, 559, 560, 3, 435, 217, 0, 560, 561, 3, 413, 206, 0, 561, 14, 1, 0, 0, 0, 562, 563, 3, 397, 198, 0, 563, 564, 3, 423, 211, 0, 564, 565, 3, 445, 222, 0, 565, 16, 1, 0, 0, 0, 566, 567, 3, 397, 198, 0, 567, 568, 3, 431, 215, 0, 568, 569, 3, 431, 215, 0, 569, 570, 3, 397, 198, 0, 570, 571, 3, 445, 222, 0, 571, 18, 1, 0, 0, 0, 572, 573, 3, 397, 198, 0, 573, 574, 3, 433, 216, 0, 574, 20, 1, 0, 0, 0, 575, 576, 3, 397, 198, 0, 576, 577, 3, 433, 216, 0, 577, 578, 3, 401, 200, 0, 578, 590, 1, 0, 0, 0, 579, 580, 3, 397, 198, 0, 580, 581, 3, 433, 216, 0, 581, 582, 3, 401, 200, 0, 582, 583, 3, 405, 202, 0, 583, 584, 3, 423, 211, 0, 584, 585, 3, 403, 201, 0, 585, 586, 3, 413, 206, 0, 586, 587, 3, 423, 211, 0, 587, 588, 3, 409, 204, 0, 588, 590, 1, 0, 0, 0, 589, 575, 1, 0, 0, 0, 589, 579, 1, 0, 0, 0, 590, 22, 1, 0, 0, 0, 591, 592, 3, 397, 198, 0, 592, 593, 3, 433, 216, 0, 593, 594, 3, 425, 212, 0, 594, 595, 3, 407, 203, 0, 595, 24, 1, 0, 0, 0, 596, 597, 3, 397, 198, 0, 597, 598, 3, 433, 216, 0, 598, 599, 3, 435, 217, 0, 599, 26, 1, 0, 0, 0, 600, 601, 3, 397, 198, 0, 601, 602, 3, 433, 216, 0, 602, 603, 3, 445, 222, 0, 603, 604, 3, 423, 211, 0, 604, 605, 3, 401, 200, 0, 605, 28, 1, 0, 0, 0, 606, 607, 3, 397, 198, 0, 607, 608, 3, 435, 217, 0, 608, 609, 3, 435, 217, 0, 609, 610, 3, 397, 198, 0, 610, 611, 3, 401, 200, 0, 611, 612, 3, 411, 205, 0, 612, 30, 1, 0, 0, 0, 613, 614, 3, 399, 199, 0, 614, 615, 3, 405, 202, 0, 615, 616, 3, 435, 217, 0, 616, 617, 3, 441, 220, 0, 617, 618, 3, 405, 202, 0, 618, 619, 3, 405, 202, 0, 619, 620, 3, 423, 211, 0, 620, 32, 1, 0, 0, 0, 621, 622, 3, 399, 199, 0, 622, 623, 3, 425, 212, 0, 623, 624, 3, 435, 217, 0, 624, 625, 3, 411, 205, 0, 625, 34, 1, 0, 0, 0, 626, 627, 3, 399, 199, 0, 627, 628, 3, 445, 222, 0, 628, 36, 1, 0, 0, 0, 629, 630, 3, 401, 200, 0, 630, 631, 3, 397, 198, 0, 631, 632, 3, 433, 216, 0, 632, 633, 3, 405, 202, 0, 633, 38, 1, 0, 0, 0, 634, 635, 3, 401, 200, 0, 635, 636, 3, 397, 198, 0, 636, 637, 3, 433, 216, 0, 637, 638, 3, 435, 217, 0, 638, 40, 1, 0, 0, 0, 639, 640, 3, 401, 200, 0, 640, 641, 3, 411, 205, 0, 641, 642, 3, 405, 202, 0, 642, 643, 3, 401, 200, 0, 643, 644, 3, 417, 208, 0, 644, 42, 1, 0, 0, 0, 645, 646, 3, 401, 200, 0, 646, 647, 3, 419, 209, 0, 647, 648, 3, 405, 202, 0, 648, 649, 3, 397, 198, 0, 649, 650, 3, 431, 215, 0, 650, 44, 1, 0, 0, 0, 651, 652, 3, 401, 200, 0, 652, 653, 3, 419, 209, 0, 653, 654, 3, 437, 218, 0, 654, 655, 3, 433, 216, 0, 655, 656, 3, 435, 217, 0, 656, 657, 3, 405, 202, 0, 657, 658, 3, 431, 215, 0, 658, 46, 1, 0, 0, 0, 659, 660, 3, 401, 200, 0, 660, 661, 3, 425, 212, 0, 661, 662, 3, 403, 201, 0, 662, 663, 3, 405, 202, 0, 663, 664, 3, 401, 200, 0, 664, 48, 1, 0, 0, 0, 665, 666, 3, 401, 200, 0, 666, 667, 3, 425, 212, 0, 667, 668, 3, 419, 209, 0, 668, 669, 3, 419, 209, 0, 669, 670, 3, 397, 198, 0, 670, 671, 3, 435, 217, 0, 671, 672, 3, 405, 202, 0, 672, 50, 1, 0, 0, 0, 673, 674, 3, 401, 200, 0, 674, 675, 3, 425, 212, 0, 675, 676, 3, 419, 209, 0, 676, 677, 3, 437, 218, 0, 677, 678, 3, 421, 210, 0, 678, 679, 3, 423, 211, 0, 679, 52, 1, 0, 0, 0, 680, 681, 3, 401, 200, 0, 681, 682, 3, 425, 212, 0, 682, 683, 3, 421, 210, 0, 683, 684, 3, 421, 210, 0, 684, 685, 3, 405, 202, 0, 685, 686, 3, 423, 211, 0, 686, 687, 3, 435, 217, 0, 687, 54, 1, 0, 0, 0, 688, 689, 3, 401, 200, 0, 689, 690, 3, 425, 212, 0, 690, 691, 3, 423, 211, 0, 691, 692, 3, 433, 216, 0, 692, 693, 3, 435, 217, 0, 693, 694, 3, 431, 215, 0, 694, 695, 3, 397, 198, 0, 695, 696, 3, 413, 206, 0, 696, 697, 3, 423, 211, 0, 697, 698, 3, 435, 217, 0, 698, 56, 1, 0, 0, 0, 699, 700, 3, 401, 200, 0, 700, 701, 3, 431, 215, 0, 701, 702, 3, 405, 202, 0, 702, 703, 3, 397, 198, 0, 703, 704, 3, 435, 217, 0, 704, 705, 3, 405, 202, 0, 705, 58, 1, 0, 0, 0, 706, 707, 3, 401, 200, 0, 707, 708, 3, 431, 215, 0, 708, 709, 3, 425, 212, 0, 709, 710, 3, 433, 216, 0, 710, 711, 3, 433, 216, 0, 711, 60, 1, 0, 0, 0, 712, 713, 3, 401, 200, 0, 713, 714, 3, 437, 218, 0, 714, 715, 3, 399, 199, 0, 715, 716, 3, 405, 202, 0, 716, 62, 1, 0, 0, 0, 717, 718, 3, 401, 200, 0, 718, 719, 3, 437, 218, 0, 719, 720, 3, 431, 215, 0, 720, 721, 3, 431, 215, 0, 721, 722, 3, 405, 202, 0, 722, 723, 3, 423, 211, 0, 723, 724, 3, 435, 217, 0, 724, 64, 1, 0, 0, 0, 725, 726, 3, 403, 201, 0, 726, 727, 3, 397, 198, 0, 727, 728, 3, 435, 217, 0, 728, 729, 3, 397, 198, 0, 729, 730, 3, 399, 199, 0, 730, 731, 3, 397, 198, 0, 731, 732, 3, 433, 216, 0, 732, 733, 3, 405, 202, 0, 733, 66, 1, 0, 0, 0, 734, 735, 3, 403, 201, 0, 735, 736, 3, 397, 198, 0, 736, 737, 3, 435, 217, 0, 737, 738, 3, 397, 198, 0, 738, 739, 3, 399, 199, 0, 739, 740, 3, 397, 198, 0, 740, 741, 3, 433, 216, 0, 741, 742, 3, 405, 202, 0, 742, 743, 3, 433, 216, 0, 743, 68, 1, 0, 0, 0, 744, 745, 3, 403, 201, 0, 745, 746, 3, 397, 198, 0, 746, 747, 3, 435, 217, 0, 747, 748, 3, 405, 202, 0, 748, 70, 1, 0, 0, 0, 749, 750, 3, 403, 201, 0, 750, 751, 3, 397, 198, 0, 751, 752, 3, 445, 222, 0, 752, 72, 1, 0, 0, 0, 753, 754, 3, 403, 201, 0, 754, 755, 3, 405, 202, 0, 755, 756, 3, 403, 201, 0, 756, 757, 3, 437, 218, 0, 757, 758, 3, 427, 213, 0, 758, 759, 3, 419, 209, 0, 759, 760, 3, 413, 206, 0, 760, 761, 3, 401, 200, 0, 761, 762, 3, 397, 198, 0, 762, 763, 3, 435, 217, 0, 763, 764, 3, 405, 202, 0, 764, 74, 1, 0, 0, 0, 765, 766, 3, 403, 201, 0, 766, 767, 3, 405, 202, 0, 767, 768, 3, 407, 203, 0, 768, 769, 3, 397, 198, 0, 769, 770, 3, 437, 218, 0, 770, 771, 3, 419, 209, 0, 771, 772, 3, 435, 217, 0, 772, 76, 1, 0, 0, 0, 773, 774, 3, 403, 201, 0, 774, 775, 3, 405, 202, 0, 775, 776, 3, 419, 209, 0, 776, 777, 3, 397, 198, 0, 777, 778, 3, 445, 222, 0, 778, 78, 1, 0, 0, 0, 779, 780, 3, 403, 201, 0, 780, 781, 3, 405, 202, 0, 781, 782, 3, 419, 209, 0, 782, 783, 3, 405, 202, 0, 783, 784, 3, 435, 217, 0, 784, 785, 3, 405, 202, 0, 785, 80, 1, 0, 0, 0, 786, 787, 3, 403, 201, 0, 787, 788, 3, 405, 202, 0, 788, 789, 3, 433, 216, 0, 789, 790, 3, 401, 200, 0, 790, 82, 1, 0, 0, 0, 791, 792, 3, 403, 201, 0, 792, 793, 3, 405, 202, 0, 793, 794, 3, 433, 216, 0, 794, 795, 3, 401, 200, 0, 795, 796, 3, 405, 202, 0, 796, 797, 3, 423, 211, 0, 797, 798, 3, 403, 201, 0, 798, 799, 3, 413, 206, 0, 799, 800, 3, 423, 211, 0, 800, 801, 3, 409, 204, 0, 801, 84, 1, 0, 0, 0, 802, 803, 3, 403, 201, 0, 803, 804, 3, 405, 202, 0, 804, 805, 3, 433, 216, 0, 805, 806, 3, 401, 200, 0, 806, 807, 3, 431, 215, 0, 807, 808, 3, 413, 206, 0, 808, 809, 3, 399, 199, 0, 809, 810, 3, 405, 202, 0, 810, 86, 1, 0, 0, 0, 811, 812, 3, 403, 201, 0, 812, 813, 3, 405, 202, 0, 813, 814, 3, 435, 217, 0, 814, 815, 3, 397, 198, 0, 815, 816, 3, 401, 200, 0, 816, 817, 3, 411, 205, 0, 817, 88, 1, 0, 0, 0, 818, 819, 3, 403, 201, 0, 819, 820, 3, 413, 206, 0, 820, 821, 3, 401, 200, 0, 821, 822, 3, 435, 217, 0, 822, 823, 3, 413, 206, 0, 823, 824, 3, 425, 212, 0, 824, 825, 3, 423, 211, 0, 825, 826, 3, 397, 198, 0, 826, 827, 3, 431, 215, 0, 827, 828, 3, 413, 206, 0, 828, 829, 3, 405, 202, 0, 829, 830, 3, 433, 216, 0, 830, 90, 1, 0, 0, 0, 831, 832, 3, 403, 201, 0, 832, 833, 3, 413, 206, 0, 833, 834, 3, 401, 200, 0, 834, 835, 3, 435, 217, 0, 835, 836, 3, 413, 206, 0, 836, 837, 3, 425, 212, 0, 837, 838, 3, 423, 211, 0, 838, 839, 3, 397, 198, 0, 839, 840, 3, 431, 215, 0, 840, 841, 3, 445, 222, 0, 841, 92, 1, 0, 0, 0, 842, 843, 3, 403, 201, 0, 843, 844, 3, 413, 206, 0, 844, 845, 3, 433, 216, 0, 845, 846, 3, 417, 208, 0, 846, 94, 1, 0, 0, 0, 847, 848, 3, 403, 201, 0, 848, 849, 3, 413, 206, 0, 849, 850, 3, 433, 216, 0, 850, 851, 3, 435, 217, 0, 851, 852, 3, 413, 206, 0, 852, 853, 3, 423, 211, 0, 853, 854, 3, 401, 200, 0, 854, 855, 3, 435, 217, 0, 855, 96, 1, 0, 0, 0, 856, 857, 3, 403, 201, 0, 857, 858, 3, 413, 206, 0, 858, 859, 3, 433, 216, 0, 859, 860, 3, 435, 217, 0, 860, 861, 3, 431, 215, 0, 861, 862, 3, 413, 206, 0, 862, 863, 3, 399, 199, 0, 863, 864, 3, 437, 218, 0, 864, 865, 3, 435, 217, 0, 865, 866, 3, 405, 202, 0, 866, 867, 3, 403, 201, 0, 867, 98, 1, 0, 0, 0, 868, 869, 3, 403, 201, 0, 869, 870, 3, 431, 215, 0, 870, 871, 3, 425, 212, 0, 871, 872, 3, 427, 213, 0, 872, 100, 1, 0, 0, 0, 873, 874, 3, 405, 202, 0, 874, 875, 3, 419, 209, 0, 875, 876, 3, 433, 216, 0, 876, 877, 3, 405, 202, 0, 877, 102, 1, 0, 0, 0, 878, 879, 3, 405, 202, 0, 879, 880, 3, 423, 211, 0, 880, 881, 3, 403, 201, 0, 881, 104, 1, 0, 0, 0, 882, 883, 3, 405, 202, 0, 883, 884, 3, 423, 211, 0, 884, 885, 3, 409, 204, 0, 885, 886, 3, 413, 206, 0, 886, 887, 3, 423, 211, 0, 887, 888, 3, 405, 202, 0, 888, 106, 1, 0, 0, 0, 889, 890, 3, 405, 202, 0, 890, 891, 3, 439, 219, 0, 891, 892, 3, 405, 202, 0, 892, 893, 3, 423, 211, 0, 893, 894, 3, 435, 217, 0, 894, 895, 3, 433, 216, 0, 895, 108, 1, 0, 0, 0, 896, 897, 3, 405, 202, 0, 897, 898, 3, 443, 221, 0, 898, 899, 3, 413, 206, 0, 899, 900, 3, 433, 216, 0, 900, 901, 3, 435, 217, 0, 901, 902, 3, 433, 216, 0, 902, 110, 1, 0, 0, 0, 903, 904, 3, 405, 202, 0, 904, 905, 3, 443, 221, 0, 905, 906, 3, 427, 213, 0, 906, 907, 3, 419, 209, 0, 907, 908, 3, 397, 198, 0, 908, 909, 3, 413, 206, 0, 909, 910, 3, 423, 211, 0, 910, 112, 1, 0, 0, 0, 911, 912, 3, 405, 202, 0, 912, 913, 3, 443, 221, 0, 913, 914, 3, 427, 213, 0, 914, 915, 3, 431, 215, 0, 915, 916, 3, 405, 202, 0, 916, 917, 3, 433, 216, 0, 917, 918, 3, 433, 216, 0, 918, 919, 3, 413, 206, 0, 919, 920, 3, 425, 212, 0, 920, 921, 3, 423, 211, 0, 921, 114, 1, 0, 0, 0, 922, 923, 3, 405, 202, 0, 923, 924, 3, 443, 221, 0, 924, 925, 3, 435, 217, 0, 925, 926, 3, 431, 215, 0, 926, 927, 3, 397, 198, 0, 927, 928, 3, 401, 200, 0, 928, 929, 3, 435, 217, 0, 929, 116, 1, 0, 0, 0, 930, 931, 3, 407, 203, 0, 931, 932, 3, 405, 202, 0, 932, 933, 3, 435, 217, 0, 933, 934, 3, 401, 200, 0, 934, 935, 3, 411, 205, 0, 935, 936, 3, 405, 202, 0, 936, 937, 3, 433, 216, 0, 937, 118, 1, 0, 0, 0, 938, 939, 3, 407, 203, 0, 939, 940, 3, 413, 206, 0, 940, 941, 3, 423, 211, 0, 941, 942, 3, 397, 198, 0, 942, 943, 3, 419, 209, 0, 943, 120, 1, 0, 0, 0, 944, 945, 3, 407, 203, 0, 945, 946, 3, 413, 206, 0, 946, 947, 3, 431, 215, 0, 947, 948, 3, 433, 216, 0, 948, 949, 3, 435, 217, 0, 949, 122, 1, 0, 0, 0, 950, 951, 3, 407, 203, 0, 951, 952, 3, 419, 209, 0, 952, 953, 3, 437, 218, 0, 953, 954, 3, 433, 216, 0, 954, 955, 3, 411, 205, 0, 955, 124, 1, 0, 0, 0, 956, 957, 3, 407, 203, 0, 957, 958, 3, 425, 212, 0, 958, 959, 3, 419, 209, 0, 959, 960, 3, 419, 209, 0, 960, 961, 3, 425, 212, 0, 961, 962, 3, 441, 220, 0, 962, 963, 3, 413, 206, 0, 963, 964, 3, 423, 211, 0, 964, 965, 3, 409, 204, 0, 965, 126, 1, 0, 0, 0, 966, 967, 3, 407, 203, 0, 967, 968, 3, 425, 212, 0, 968, 969, 3, 431, 215, 0, 969, 128, 1, 0, 0, 0, 970, 971, 3, 407, 203, 0, 971, 972, 3, 425, 212, 0, 972, 973, 3, 431, 215, 0, 973, 974, 3, 421, 210, 0, 974, 975, 3, 397, 198, 0, 975, 976, 3, 435, 217, 0, 976, 130, 1, 0, 0, 0, 977, 978, 3, 407, 203, 0, 978, 979, 3, 431, 215, 0, 979, 980, 3, 405, 202, 0, 980, 981, 3, 405, 202, 0, 981, 982, 3, 447, 223, 0, 982, 983, 3, 405, 202, 0, 983, 132, 1, 0, 0, 0, 984, 985, 3, 407, 203, 0, 985, 986, 3, 431, 215, 0, 986, 987, 3, 425, 212, 0, 987, 988, 3, 421, 210, 0, 988, 134, 1, 0, 0, 0, 989, 990, 3, 407, 203, 0, 990, 991, 3, 437, 218, 0, 991, 992, 3, 419, 209, 0, 992, 993, 3, 419, 209, 0, 993, 136, 1, 0, 0, 0, 994, 995, 3, 407, 203, 0, 995, 996, 3, 437, 218, 0, 996, 997, 3, 423, 211, 0, 997, 998, 3, 401, 200, 0, 998, 999, 3, 435, 217, 0, 999, 1000, 3, 413, 206, 0, 1000, 1001, 3, 425, 212, 0, 1001, 1002, 3, 423, 211, 0, 1002, 138, 1, 0, 0, 0, 1003, 1004, 3, 409, 204, 0, 1004, 1005, 3, 419, 209, 0, 1005, 1006, 3, 425, 212, 0, 1006, 1007, 3, 399, 199, 0, 1007, 1008, 3, 397, 198, 0, 1008, 1009, 3, 419, 209, 0, 1009, 140, 1, 0, 0, 0, 1010, 1011, 3, 409, 204, 0, 1011, 1012, 3, 431, 215, 0, 1012, 1013, 3, 397, 198, 0, 1013, 1014, 3, 423, 211, 0, 1014, 1015, 3, 437, 218, 0, 1015, 1016, 3, 419, 209, 0, 1016, 1017, 3, 397, 198, 0, 1017, 1018, 3, 431, 215, 0, 1018, 1019, 3, 413, 206, 0, 1019, 1020, 3, 435, 217, 0, 1020, 1021, 3, 445, 222, 0, 1021, 142, 1, 0, 0, 0, 1022, 1023, 3, 409, 204, 0, 1023, 1024, 3, 431, 215, 0, 1024, 1025, 3, 425, 212, 0, 1025, 1026, 3, 437, 218, 0, 1026, 1027, 3, 427, 213, 0, 1027, 144, 1, 0, 0, 0, 1028, 1029, 3, 411, 205, 0, 1029, 1030, 3, 397, 198, 0, 1030, 1031, 3, 439, 219, 0, 1031, 1032, 3, 413, 206, 0, 1032, 1033, 3, 423, 211, 0, 1033, 1034, 3, 409, 204, 0, 1034, 146, 1, 0, 0, 0, 1035, 1036, 3, 411, 205, 0, 1036, 1037, 3, 413, 206, 0, 1037, 1038, 3, 405, 202, 0, 1038, 1039, 3, 431, 215, 0, 1039, 1040, 3, 397, 198, 0, 1040, 1041, 3, 431, 215, 0, 1041, 1042, 3, 401, 200, 0, 1042, 1043, 3, 411, 205, 0, 1043, 1044, 3, 413, 206, 0, 1044, 1045, 3, 401, 200, 0, 1045, 1046, 3, 397, 198, 0, 1046, 1047, 3, 419, 209, 0, 1047, 148, 1, 0, 0, 0, 1048, 1049, 3, 411, 205, 0, 1049, 1050, 3, 425, 212, 0, 1050, 1051, 3, 437, 218, 0, 1051, 1052, 3, 431, 215, 0, 1052, 150, 1, 0, 0, 0, 1053, 1054, 3, 413, 206, 0, 1054, 1055, 3, 403, 201, 0, 1055, 152, 1, 0, 0, 0, 1056, 1057, 3, 413, 206, 0, 1057, 1058, 3, 407, 203, 0, 1058, 154, 1, 0, 0, 0, 1059, 1060, 3, 413, 206, 0, 1060, 1061, 3, 419, 209, 0, 1061, 1062, 3, 413, 206, 0, 1062, 1063, 3, 417, 208, 0, 1063, 1064, 3, 405, 202, 0, 1064, 156, 1, 0, 0, 0, 1065, 1066, 3, 413, 206, 0, 1066, 1067, 3, 423, 211, 0, 1067, 158, 1, 0, 0, 0, 1068, 1069, 3, 413, 206, 0, 1069, 1070, 3, 423, 211, 0, 1070, 1071, 3, 403, 201, 0, 1071, 1072, 3, 405, 202, 0, 1072, 1073, 3, 443, 221, 0, 1073, 160, 1, 0, 0, 0, 1074, 1075, 3, 413, 206, 0, 1075, 1076, 3, 423, 211, 0, 1076, 1077, 3, 407, 203, 0, 1077, 1088, 1, 0, 0, 0, 1078, 1079, 3, 413, 206, 0, 1079, 1080, 3, 423, 211, 0, 1080, 1081, 3, 407, 203, 0, 1081, 1082, 3, 413, 206, 0, 1082, 1083, 3, 423, 211, 0, 1083, 1084, 3, 413, 206, 0, 1084, 1085, 3, 435, 217, 0, 1085, 1086, 3, 445, 222, 0, 1086, 1088, 1, 0, 0, 0, 1087, 1074, 1, 0, 0, 0, 1087, 1078, 1, 0, 0, 0, 1088, 162, 1, 0, 0, 0, 1089, 1090, 3, 413, 206, 0, 1090, 1091, 3, 423, 211, 0, 1091, 1092, 3, 415, 207, 0, 1092, 1093, 3, 405, 202, 0, 1093, 1094, 3, 401, 200, 0, 1094, 1095, 3, 435, 217, 0, 1095, 1096, 3, 413, 206, 0, 1096, 1097, 3, 439, 219, 0, 1097, 1098, 3, 405, 202, 0, 1098, 164, 1, 0, 0, 0, 1099, 1100, 3, 413, 206, 0, 1100, 1101, 3, 423, 211, 0, 1101, 1102, 3, 423, 211, 0, 1102, 1103, 3, 405, 202, 0, 1103, 1104, 3, 431, 215, 0, 1104, 166, 1, 0, 0, 0, 1105, 1106, 3, 413, 206, 0, 1106, 1107, 3, 423, 211, 0, 1107, 1108, 3, 433, 216, 0, 1108, 1109, 3, 405, 202, 0, 1109, 1110, 3, 431, 215, 0, 1110, 1111, 3, 435, 217, 0, 1111, 168, 1, 0, 0, 0, 1112, 1113, 3, 413, 206, 0, 1113, 1114, 3, 423, 211, 0, 1114, 1115, 3, 435, 217, 0, 1115, 1116, 3, 405, 202, 0, 1116, 1117, 3, 431, 215, 0, 1117, 1118, 3, 439, 219, 0, 1118, 1119, 3, 397, 198, 0, 1119, 1120, 3, 419, 209, 0, 1120, 170, 1, 0, 0, 0, 1121, 1122, 3, 413, 206, 0, 1122, 1123, 3, 423, 211, 0, 1123, 1124, 3, 435, 217, 0, 1124, 1125, 3, 425, 212, 0, 1125, 172, 1, 0, 0, 0, 1126, 1127, 3, 413, 206, 0, 1127, 1128, 3, 433, 216, 0, 1128, 174, 1, 0, 0, 0, 1129, 1130, 3, 413, 206, 0, 1130, 1131, 3, 433, 216, 0, 1131, 1132, 3, 519, 259, 0, 1132, 1133, 3, 425, 212, 0, 1133, 1134, 3, 399, 199, 0, 1134, 1135, 3, 415, 207, 0, 1135, 1136, 3, 405, 202, 0, 1136, 1137, 3, 401, 200, 0, 1137, 1138, 3, 435, 217, 0, 1138, 1139, 3, 519, 259, 0, 1139, 1140, 3, 413, 206, 0, 1140, 1141, 3, 403, 201, 0, 1141, 176, 1, 0, 0, 0, 1142, 1143, 3, 415, 207, 0, 1143, 1144, 3, 425, 212, 0, 1144, 1145, 3, 413, 206, 0, 1145, 1146, 3, 423, 211, 0, 1146, 178, 1, 0, 0, 0, 1147, 1148, 3, 417, 208, 0, 1148, 1149, 3, 405, 202, 0, 1149, 1150, 3, 445, 222, 0, 1150, 180, 1, 0, 0, 0, 1151, 1152, 3, 417, 208, 0, 1152, 1153, 3, 413, 206, 0, 1153, 1154, 3, 419, 209, 0, 1154, 1155, 3, 419, 209, 0, 1155, 182, 1, 0, 0, 0, 1156, 1157, 3, 419, 209, 0, 1157, 1158, 3, 397, 198, 0, 1158, 1159, 3, 433, 216, 0, 1159, 1160, 3, 435, 217, 0, 1160, 184, 1, 0, 0, 0, 1161, 1162, 3, 419, 209, 0, 1162, 1163, 3, 397, 198, 0, 1163, 1164, 3, 445, 222, 0, 1164, 1165, 3, 425, 212, 0, 1165, 1166, 3, 437, 218, 0, 1166, 1167, 3, 435, 217, 0, 1167, 186, 1, 0, 0, 0, 1168, 1169, 3, 419, 209, 0, 1169, 1170, 3, 405, 202, 0, 1170, 1171, 3, 397, 198, 0, 1171, 1172, 3, 403, 201, 0, 1172, 1173, 3, 413, 206, 0, 1173, 1174, 3, 423, 211, 0, 1174, 1175, 3, 409, 204, 0, 1175, 188, 1, 0, 0, 0, 1176, 1177, 3, 419, 209, 0, 1177, 1178, 3, 405, 202, 0, 1178, 1179, 3, 407, 203, 0, 1179, 1180, 3, 435, 217, 0, 1180, 190, 1, 0, 0, 0, 1181, 1182, 3, 419, 209, 0, 1182, 1183, 3, 413, 206, 0, 1183, 1184, 3, 407, 203, 0, 1184, 1185, 3, 405, 202, 0, 1185, 1186, 3, 435, 217, 0, 1186, 1187, 3, 413, 206, 0, 1187, 1188, 3, 421, 210, 0, 1188, 1189, 3, 405, 202, 0, 1189, 192, 1, 0, 0, 0, 1190, 1191, 3, 419, 209, 0, 1191, 1192, 3, 413, 206, 0, 1192, 1193, 3, 417, 208, 0, 1193, 1194, 3, 405, 202, 0, 1194, 194, 1, 0, 0, 0, 1195, 1196, 3, 419, 209, 0, 1196, 1197, 3, 413, 206, 0, 1197, 1198, 3, 421, 210, 0, 1198, 1199, 3, 413, 206, 0, 1199, 1200, 3, 435, 217, 0, 1200, 196, 1, 0, 0, 0, 1201, 1202, 3, 419, 209, 0, 1202, 1203, 3, 413, 206, 0, 1203, 1204, 3, 439, 219, 0, 1204, 1205, 3, 405, 202, 0, 1205, 198, 1, 0, 0, 0, 1206, 1207, 3, 419, 209, 0, 1207, 1208, 3, 425, 212, 0, 1208, 1209, 3, 401, 200, 0, 1209, 1210, 3, 397, 198, 0, 1210, 1211, 3, 419, 209, 0, 1211, 200, 1, 0, 0, 0, 1212, 1213, 3, 419, 209, 0, 1213, 1214, 3, 425, 212, 0, 1214, 1215, 3, 409, 204, 0, 1215, 1216, 3, 433, 216, 0, 1216, 202, 1, 0, 0, 0, 1217, 1218, 3, 421, 210, 0, 1218, 1219, 3, 397, 198, 0, 1219, 1220, 3, 435, 217, 0, 1220, 1221, 3, 405, 202, 0, 1221, 1222, 3, 431, 215, 0, 1222, 1223, 3, 413, 206, 0, 1223, 1224, 3, 397, 198, 0, 1224, 1225, 3, 419, 209, 0, 1225, 1226, 3, 413, 206, 0, 1226, 1227, 3, 447, 223, 0, 1227, 1228, 3, 405, 202, 0, 1228, 204, 1, 0, 0, 0, 1229, 1230, 3, 421, 210, 0, 1230, 1231, 3, 397, 198, 0, 1231, 1232, 3, 435, 217, 0, 1232, 1233, 3, 405, 202, 0, 1233, 1234, 3, 431, 215, 0, 1234, 1235, 3, 413, 206, 0, 1235, 1236, 3, 397, 198, 0, 1236, 1237, 3, 419, 209, 0, 1237, 1238, 3, 413, 206, 0, 1238, 1239, 3, 447, 223, 0, 1239, 1240, 3, 405, 202, 0, 1240, 1241, 3, 403, 201, 0, 1241, 206, 1, 0, 0, 0, 1242, 1243, 3, 421, 210, 0, 1243, 1244, 3, 397, 198, 0, 1244, 1245, 3, 443, 221, 0, 1245, 208, 1, 0, 0, 0, 1246, 1247, 3, 421, 210, 0, 1247, 1248, 3, 405, 202, 0, 1248, 1249, 3, 431, 215, 0, 1249, 1250, 3, 409, 204, 0, 1250, 1251, 3, 405, 202, 0, 1251, 1252, 3, 433, 216, 0, 1252, 210, 1, 0, 0, 0, 1253, 1254, 3, 421, 210, 0, 1254, 1255, 3, 413, 206, 0, 1255, 1256, 3, 423, 211, 0, 1256, 212, 1, 0, 0, 0, 1257, 1258, 3, 421, 210, 0, 1258, 1259, 3, 413, 206, 0, 1259, 1260, 3, 423, 211, 0, 1260, 1261, 3, 437, 218, 0, 1261, 1262, 3, 435, 217, 0, 1262, 1263, 3, 405, 202, 0, 1263, 214, 1, 0, 0, 0, 1264, 1265, 3, 421, 210, 0, 1265, 1266, 3, 425, 212, 0, 1266, 1267, 3, 403, 201, 0, 1267, 1268, 3, 413, 206, 0, 1268, 1269, 3, 407, 203, 0, 1269, 1270, 3, 445, 222, 0, 1270, 216, 1, 0, 0, 0, 1271, 1272, 3, 421, 210, 0, 1272, 1273, 3, 425, 212, 0, 1273, 1274, 3, 423, 211, 0, 1274, 1275, 3, 435, 217, 0, 1275, 1276, 3, 411, 205, 0, 1276, 218, 1, 0, 0, 0, 1277, 1278, 3, 421, 210, 0, 1278, 1279, 3, 425, 212, 0, 1279, 1280, 3, 439, 219, 0, 1280, 1281, 3, 405, 202, 0, 1281, 220, 1, 0, 0, 0, 1282, 1283, 3, 421, 210, 0, 1283, 1284, 3, 437, 218, 0, 1284, 1285, 3, 435, 217, 0, 1285, 1286, 3, 397, 198, 0, 1286, 1287, 3, 435, 217, 0, 1287, 1288, 3, 413, 206, 0, 1288, 1289, 3, 425, 212, 0, 1289, 1290, 3, 423, 211, 0, 1290, 222, 1, 0, 0, 0, 1291, 1292, 3, 423, 211, 0, 1292, 1293, 3, 397, 198, 0, 1293, 1294, 3, 423, 211, 0, 1294, 224, 1, 0, 0, 0, 1295, 1296, 3, 423, 211, 0, 1296, 1297, 3, 425, 212, 0, 1297, 226, 1, 0, 0, 0, 1298, 1299, 3, 423, 211, 0, 1299, 1300, 3, 425, 212, 0, 1300, 1301, 3, 435, 217, 0, 1301, 228, 1, 0, 0, 0, 1302, 1303, 3, 423, 211, 0, 1303, 1304, 3, 437, 218, 0, 1304, 1305, 3, 419, 209, 0, 1305, 1306, 3, 419, 209, 0, 1306, 230, 1, 0, 0, 0, 1307, 1308, 3, 423, 211, 0, 1308, 1309, 3, 437, 218, 0, 1309, 1310, 3, 419, 209, 0, 1310, 1311, 3, 419, 209, 0, 1311, 1312, 3, 433, 216, 0, 1312, 232, 1, 0, 0, 0, 1313, 1314, 3, 425, 212, 0, 1314, 1315, 3, 407, 203, 0, 1315, 1316, 3, 407, 203, 0, 1316, 1317, 3, 433, 216, 0, 1317, 1318, 3, 405, 202, 0, 1318, 1319, 3, 435, 217, 0, 1319, 234, 1, 0, 0, 0, 1320, 1321, 3, 425, 212, 0, 1321, 1322, 3, 423, 211, 0, 1322, 236, 1, 0, 0, 0, 1323, 1324, 3, 425, 212, 0, 1324, 1325, 3, 427, 213, 0, 1325, 1326, 3, 435, 217, 0, 1326, 1327, 3, 413, 206, 0, 1327, 1328, 3, 421, 210, 0, 1328, 1329, 3, 413, 206, 0, 1329, 1330, 3, 447, 223, 0, 1330, 1331, 3, 405, 202, 0, 1331, 238, 1, 0, 0, 0, 1332, 1333, 3, 425, 212, 0, 1333, 1334, 3, 431, 215, 0, 1334, 240, 1, 0, 0, 0, 1335, 1336, 3, 425, 212, 0, 1336, 1337, 3, 431, 215, 0, 1337, 1338, 3, 403, 201, 0, 1338, 1339, 3, 405, 202, 0, 1339, 1340, 3, 431, 215, 0, 1340, 242, 1, 0, 0, 0, 1341, 1342, 3, 425, 212, 0, 1342, 1343, 3, 437, 218, 0, 1343, 1344, 3, 435, 217, 0, 1344, 1345, 3, 405, 202, 0, 1345, 1346, 3, 431, 215, 0, 1346, 244, 1, 0, 0, 0, 1347, 1348, 3, 425, 212, 0, 1348, 1349, 3, 437, 218, 0, 1349, 1350, 3, 435, 217, 0, 1350, 1351, 3, 407, 203, 0, 1351, 1352, 3, 413, 206, 0, 1352, 1353, 3, 419, 209, 0, 1353, 1354, 3, 405, 202, 0, 1354, 246, 1, 0, 0, 0, 1355, 1356, 3, 425, 212, 0, 1356, 1357, 3, 439, 219, 0, 1357, 1358, 3, 405, 202, 0, 1358, 1359, 3, 431, 215, 0, 1359, 248, 1, 0, 0, 0, 1360, 1361, 3, 427, 213, 0, 1361, 1362, 3, 397, 198, 0, 1362, 1363, 3, 431, 215, 0, 1363, 1364, 3, 435, 217, 0, 1364, 1365, 3, 413, 206, 0, 1365, 1366, 3, 435, 217, 0, 1366, 1367, 3, 413, 206, 0, 1367, 1368, 3, 425, 212, 0, 1368, 1369, 3, 423, 211, 0, 1369, 250, 1, 0, 0, 0, 1370, 1371, 3, 427, 213, 0, 1371, 1372, 3, 425, 212, 0, 1372, 1373, 3, 427, 213, 0, 1373, 1374, 3, 437, 218, 0, 1374, 1375, 3, 419, 209, 0, 1375, 1376, 3, 397, 198, 0, 1376, 1377, 3, 435, 217, 0, 1377, 1378, 3, 405, 202, 0, 1378, 252, 1, 0, 0, 0, 1379, 1380, 3, 427, 213, 0, 1380, 1381, 3, 431, 215, 0, 1381, 1382, 3, 405, 202, 0, 1382, 1383, 3, 401, 200, 0, 1383, 1384, 3, 405, 202, 0, 1384, 1385, 3, 403, 201, 0, 1385, 1386, 3, 413, 206, 0, 1386, 1387, 3, 423, 211, 0, 1387, 1388, 3, 409, 204, 0, 1388, 254, 1, 0, 0, 0, 1389, 1390, 3, 427, 213, 0, 1390, 1391, 3, 431, 215, 0, 1391, 1392, 3, 405, 202, 0, 1392, 1393, 3, 441, 220, 0, 1393, 1394, 3, 411, 205, 0, 1394, 1395, 3, 405, 202, 0, 1395, 1396, 3, 431, 215, 0, 1396, 1397, 3, 405, 202, 0, 1397, 256, 1, 0, 0, 0, 1398, 1399, 3, 427, 213, 0, 1399, 1400, 3, 431, 215, 0, 1400, 1401, 3, 413, 206, 0, 1401, 1402, 3, 421, 210, 0, 1402, 1403, 3, 397, 198, 0, 1403, 1404, 3, 431, 215, 0, 1404, 1405, 3, 445, 222, 0, 1405, 258, 1, 0, 0, 0, 1406, 1407, 3, 427, 213, 0, 1407, 1408, 3, 431, 215, 0, 1408, 1409, 3, 425, 212, 0, 1409, 1410, 3, 415, 207, 0, 1410, 1411, 3, 405, 202, 0, 1411, 1412, 3, 401, 200, 0, 1412, 1413, 3, 435, 217, 0, 1413, 1414, 3, 413, 206, 0, 1414, 1415, 3, 425, 212, 0, 1415, 1416, 3, 423, 211, 0, 1416, 260, 1, 0, 0, 0, 1417, 1418, 3, 429, 214, 0, 1418, 1419, 3, 437, 218, 0, 1419, 1420, 3, 397, 198, 0, 1420, 1421, 3, 431, 215, 0, 1421, 1422, 3, 435, 217, 0, 1422, 1423, 3, 405, 202, 0, 1423, 1424, 3, 431, 215, 0, 1424, 262, 1, 0, 0, 0, 1425, 1426, 3, 431, 215, 0, 1426, 1427, 3, 397, 198, 0, 1427, 1428, 3, 423, 211, 0, 1428, 1429, 3, 409, 204, 0, 1429, 1430, 3, 405, 202, 0, 1430, 264, 1, 0, 0, 0, 1431, 1432, 3, 431, 215, 0, 1432, 1433, 3, 405, 202, 0, 1433, 1434, 3, 419, 209, 0, 1434, 1435, 3, 425, 212, 0, 1435, 1436, 3, 397, 198, 0, 1436, 1437, 3, 403, 201, 0, 1437, 266, 1, 0, 0, 0, 1438, 1439, 3, 431, 215, 0, 1439, 1440, 3, 405, 202, 0, 1440, 1441, 3, 421, 210, 0, 1441, 1442, 3, 425, 212, 0, 1442, 1443, 3, 439, 219, 0, 1443, 1444, 3, 405, 202, 0, 1444, 268, 1, 0, 0, 0, 1445, 1446, 3, 431, 215, 0, 1446, 1447, 3, 405, 202, 0, 1447, 1448, 3, 423, 211, 0, 1448, 1449, 3, 397, 198, 0, 1449, 1450, 3, 421, 210, 0, 1450, 1451, 3, 405, 202, 0, 1451, 270, 1, 0, 0, 0, 1452, 1453, 3, 431, 215, 0, 1453, 1454, 3, 405, 202, 0, 1454, 1455, 3, 427, 213, 0, 1455, 1456, 3, 419, 209, 0, 1456, 1457, 3, 397, 198, 0, 1457, 1458, 3, 401, 200, 0, 1458, 1459, 3, 405, 202, 0, 1459, 272, 1, 0, 0, 0, 1460, 1461, 3, 431, 215, 0, 1461, 1462, 3, 405, 202, 0, 1462, 1463, 3, 427, 213, 0, 1463, 1464, 3, 419, 209, 0, 1464, 1465, 3, 413, 206, 0, 1465, 1466, 3, 401, 200, 0, 1466, 1467, 3, 397, 198, 0, 1467, 274, 1, 0, 0, 0, 1468, 1469, 3, 431, 215, 0, 1469, 1470, 3, 405, 202, 0, 1470, 1471, 3, 427, 213, 0, 1471, 1472, 3, 419, 209, 0, 1472, 1473, 3, 413, 206, 0, 1473, 1474, 3, 401, 200, 0, 1474, 1475, 3, 397, 198, 0, 1475, 1476, 3, 435, 217, 0, 1476, 1477, 3, 405, 202, 0, 1477, 1478, 3, 403, 201, 0, 1478, 276, 1, 0, 0, 0, 1479, 1480, 3, 431, 215, 0, 1480, 1481, 3, 413, 206, 0, 1481, 1482, 3, 409, 204, 0, 1482, 1483, 3, 411, 205, 0, 1483, 1484, 3, 435, 217, 0, 1484, 278, 1, 0, 0, 0, 1485, 1486, 3, 431, 215, 0, 1486, 1487, 3, 425, 212, 0, 1487, 1488, 3, 419, 209, 0, 1488, 1489, 3, 419, 209, 0, 1489, 1490, 3, 437, 218, 0, 1490, 1491, 3, 427, 213, 0, 1491, 280, 1, 0, 0, 0, 1492, 1493, 3, 431, 215, 0, 1493, 1494, 3, 425, 212, 0, 1494, 1495, 3, 441, 220, 0, 1495, 282, 1, 0, 0, 0, 1496, 1497, 3, 431, 215, 0, 1497, 1498, 3, 425, 212, 0, 1498, 1499, 3, 441, 220, 0, 1499, 1500, 3, 433, 216, 0, 1500, 284, 1, 0, 0, 0, 1501, 1502, 3, 433, 216, 0, 1502, 1503, 3, 397, 198, 0, 1503, 1504, 3, 421, 210, 0, 1504, 1505, 3, 427, 213, 0, 1505, 1506, 3, 419, 209, 0, 1506, 1507, 3, 405, 202, 0, 1507, 286, 1, 0, 0, 0, 1508, 1509, 3, 433, 216, 0, 1509, 1510, 3, 405, 202, 0, 1510, 1511, 3, 401, 200, 0, 1511, 1512, 3, 425, 212, 0, 1512, 1513, 3, 423, 211, 0, 1513, 1514, 3, 403, 201, 0, 1514, 288, 1, 0, 0, 0, 1515, 1516, 3, 433, 216, 0, 1516, 1517, 3, 405, 202, 0, 1517, 1518, 3, 419, 209, 0, 1518, 1519, 3, 405, 202, 0, 1519, 1520, 3, 401, 200, 0, 1520, 1521, 3, 435, 217, 0, 1521, 290, 1, 0, 0, 0, 1522, 1523, 3, 433, 216, 0, 1523, 1524, 3, 405, 202, 0, 1524, 1525, 3, 421, 210, 0, 1525, 1526, 3, 413, 206, 0, 1526, 292, 1, 0, 0, 0, 1527, 1528, 3, 433, 216, 0, 1528, 1529, 3, 405, 202, 0, 1529, 1530, 3, 423, 211, 0, 1530, 1531, 3, 403, 201, 0, 1531, 1532, 3, 433, 216, 0, 1532, 294, 1, 0, 0, 0, 1533, 1534, 3, 433, 216, 0, 1534, 1535, 3, 405, 202, 0, 1535, 1536, 3, 435, 217, 0, 1536, 296, 1, 0, 0, 0, 1537, 1538, 3, 433, 216, 0, 1538, 1539, 3, 405, 202, 0, 1539, 1540, 3, 435, 217, 0, 1540, 1541, 3, 435, 217, 0, 1541, 1542, 3, 413, 206, 0, 1542, 1543, 3, 423, 211, 0, 1543, 1544, 3, 409, 204, 0, 1544, 1545, 3, 433, 216, 0, 1545, 298, 1, 0, 0, 0, 1546, 1547, 3, 433, 216, 0, 1547, 1548, 3, 411, 205, 0, 1548, 1549, 3, 425, 212, 0, 1549, 1550, 3, 441, 220, 0, 1550, 300, 1, 0, 0, 0, 1551, 1552, 3, 433, 216, 0, 1552, 1553, 3, 425, 212, 0, 1553, 1554, 3, 437, 218, 0, 1554, 1555, 3, 431, 215, 0, 1555, 1556, 3, 401, 200, 0, 1556, 1557, 3, 405, 202, 0, 1557, 302, 1, 0, 0, 0, 1558, 1559, 3, 433, 216, 0, 1559, 1560, 3, 435, 217, 0, 1560, 1561, 3, 397, 198, 0, 1561, 1562, 3, 431, 215, 0, 1562, 1563, 3, 435, 217, 0, 1563, 304, 1, 0, 0, 0, 1564, 1565, 3, 433, 216, 0, 1565, 1566, 3, 435, 217, 0, 1566, 1567, 3, 425, 212, 0, 1567, 1568, 3, 427, 213, 0, 1568, 306, 1, 0, 0, 0, 1569, 1570, 3, 433, 216, 0, 1570, 1571, 3, 437, 218, 0, 1571, 1572, 3, 399, 199, 0, 1572, 1573, 3, 433, 216, 0, 1573, 1574, 3, 435, 217, 0, 1574, 1575, 3, 431, 215, 0, 1575, 1576, 3, 413, 206, 0, 1576, 1577, 3, 423, 211, 0, 1577, 1578, 3, 409, 204, 0, 1578, 308, 1, 0, 0, 0, 1579, 1580, 3, 433, 216, 0, 1580, 1581, 3, 445, 222, 0, 1581, 1582, 3, 423, 211, 0, 1582, 1583, 3, 401, 200, 0, 1583, 310, 1, 0, 0, 0, 1584, 1585, 3, 433, 216, 0, 1585, 1586, 3, 445, 222, 0, 1586, 1587, 3, 423, 211, 0, 1587, 1588, 3, 435, 217, 0, 1588, 1589, 3, 397, 198, 0, 1589, 1590, 3, 443, 221, 0, 1590, 312, 1, 0, 0, 0, 1591, 1592, 3, 433, 216, 0, 1592, 1593, 3, 445, 222, 0, 1593, 1594, 3, 433, 216, 0, 1594, 1595, 3, 435, 217, 0, 1595, 1596, 3, 405, 202, 0, 1596, 1597, 3, 421, 210, 0, 1597, 314, 1, 0, 0, 0, 1598, 1599, 3, 435, 217, 0, 1599, 1600, 3, 397, 198, 0, 1600, 1601, 3, 399, 199, 0, 1601, 1602, 3, 419, 209, 0, 1602, 1603, 3, 405, 202, 0, 1603, 316, 1, 0, 0, 0, 1604, 1605, 3, 435, 217, 0, 1605, 1606, 3, 397, 198, 0, 1606, 1607, 3, 399, 199, 0, 1607, 1608, 3, 419, 209, 0, 1608, 1609, 3, 405, 202, 0, 1609, 1610, 3, 433, 216, 0, 1610, 318, 1, 0, 0, 0, 1611, 1612, 3, 435, 217, 0, 1612, 1613, 3, 405, 202, 0, 1613, 1614, 3, 421, 210, 0, 1614, 1615, 3, 427, 213, 0, 1615, 1616, 3, 425, 212, 0, 1616, 1617, 3, 431, 215, 0, 1617, 1618, 3, 397, 198, 0, 1618, 1619, 3, 431, 215, 0, 1619, 1620, 3, 445, 222, 0, 1620, 320, 1, 0, 0, 0, 1621, 1622, 3, 435, 217, 0, 1622, 1623, 3, 405, 202, 0, 1623, 1624, 3, 433, 216, 0, 1624, 1625, 3, 435, 217, 0, 1625, 322, 1, 0, 0, 0, 1626, 1627, 3, 435, 217, 0, 1627, 1628, 3, 411, 205, 0, 1628, 1629, 3, 405, 202, 0, 1629, 1630, 3, 423, 211, 0, 1630, 324, 1, 0, 0, 0, 1631, 1632, 3, 435, 217, 0, 1632, 1633, 3, 413, 206, 0, 1633, 1634, 3, 405, 202, 0, 1634, 1635, 3, 433, 216, 0, 1635, 326, 1, 0, 0, 0, 1636, 1637, 3, 435, 217, 0, 1637, 1638, 3, 413, 206, 0, 1638, 1639, 3, 421, 210, 0, 1639, 1640, 3, 405, 202, 0, 1640, 1641, 3, 425, 212, 0, 1641, 1642, 3, 437, 218, 0, 1642, 1643, 3, 435, 217, 0, 1643, 328, 1, 0, 0, 0, 1644, 1645, 3, 435, 217, 0, 1645, 1646, 3, 413, 206, 0, 1646, 1647, 3, 421, 210, 0, 1647, 1648, 3, 405, 202, 0, 1648, 1649, 3, 433, 216, 0, 1649, 1650, 3, 435, 217, 0, 1650, 1651, 3, 397, 198, 0, 1651, 1652, 3, 421, 210, 0, 1652, 1653, 3, 427, 213, 0, 1653, 330, 1, 0, 0, 0, 1654, 1655, 3, 435, 217, 0, 1655, 1656, 3, 425, 212, 0, 1656, 332, 1, 0, 0, 0, 1657, 1658, 3, 435, 217, 0, 1658, 1659, 3, 425, 212, 0, 1659, 1660, 3, 427, 213, 0, 1660, 334, 1, 0, 0, 0, 1661, 1662, 3, 435, 217, 0, 1662, 1663, 3, 425, 212, 0, 1663, 1664, 3, 435, 217, 0, 1664, 1665, 3, 397, 198, 0, 1665, 1666, 3, 419, 209, 0, 1666, 1667, 3, 433, 216, 0, 1667, 336, 1, 0, 0, 0, 1668, 1669, 3, 435, 217, 0, 1669, 1670, 3, 431, 215, 0, 1670, 1671, 3, 397, 198, 0, 1671, 1672, 3, 413, 206, 0, 1672, 1673, 3, 419, 209, 0, 1673, 1674, 3, 413, 206, 0, 1674, 1675, 3, 423, 211, 0, 1675, 1676, 3, 409, 204, 0, 1676, 338, 1, 0, 0, 0, 1677, 1678, 3, 435, 217, 0, 1678, 1679, 3, 431, 215, 0, 1679, 1680, 3, 413, 206, 0, 1680, 1681, 3, 421, 210, 0, 1681, 340, 1, 0, 0, 0, 1682, 1683, 3, 435, 217, 0, 1683, 1684, 3, 431, 215, 0, 1684, 1685, 3, 437, 218, 0, 1685, 1686, 3, 423, 211, 0, 1686, 1687, 3, 401, 200, 0, 1687, 1688, 3, 397, 198, 0, 1688, 1689, 3, 435, 217, 0, 1689, 1690, 3, 405, 202, 0, 1690, 342, 1, 0, 0, 0, 1691, 1692, 3, 435, 217, 0, 1692, 1693, 3, 435, 217, 0, 1693, 1694, 3, 419, 209, 0, 1694, 344, 1, 0, 0, 0, 1695, 1696, 3, 435, 217, 0, 1696, 1697, 3, 445, 222, 0, 1697, 1698, 3, 427, 213, 0, 1698, 1699, 3, 405, 202, 0, 1699, 346, 1, 0, 0, 0, 1700, 1701, 3, 437, 218, 0, 1701, 1702, 3, 423, 211, 0, 1702, 1703, 3, 399, 199, 0, 1703, 1704, 3, 425, 212, 0, 1704, 1705, 3, 437, 218, 0, 1705, 1706, 3, 423, 211, 0, 1706, 1707, 3, 403, 201, 0, 1707, 1708, 3, 405, 202, 0, 1708, 1709, 3, 403, 201, 0, 1709, 348, 1, 0, 0, 0, 1710, 1711, 3, 437, 218, 0, 1711, 1712, 3, 423, 211, 0, 1712, 1713, 3, 413, 206, 0, 1713, 1714, 3, 425, 212, 0, 1714, 1715, 3, 423, 211, 0, 1715, 350, 1, 0, 0, 0, 1716, 1717, 3, 437, 218, 0, 1717, 1718, 3, 427, 213, 0, 1718, 1719, 3, 403, 201, 0, 1719, 1720, 3, 397, 198, 0, 1720, 1721, 3, 435, 217, 0, 1721, 1722, 3, 405, 202, 0, 1722, 352, 1, 0, 0, 0, 1723, 1724, 3, 437, 218, 0, 1724, 1725, 3, 433, 216, 0, 1725, 1726, 3, 405, 202, 0, 1726, 354, 1, 0, 0, 0, 1727, 1728, 3, 437, 218, 0, 1728, 1729, 3, 433, 216, 0, 1729, 1730, 3, 413, 206, 0, 1730, 1731, 3, 423, 211, 0, 1731, 1732, 3, 409, 204, 0, 1732, 356, 1, 0, 0, 0, 1733, 1734, 3, 437, 218, 0, 1734, 1735, 3, 437, 218, 0, 1735, 1736, 3, 413, 206, 0, 1736, 1737, 3, 403, 201, 0, 1737, 358, 1, 0, 0, 0, 1738, 1739, 3, 439, 219, 0, 1739, 1740, 3, 397, 198, 0, 1740, 1741, 3, 419, 209, 0, 1741, 1742, 3, 437, 218, 0, 1742, 1743, 3, 405, 202, 0, 1743, 1744, 3, 433, 216, 0, 1744, 360, 1, 0, 0, 0, 1745, 1746, 3, 439, 219, 0, 1746, 1747, 3, 413, 206, 0, 1747, 1748, 3, 405, 202, 0, 1748, 1749, 3, 441, 220, 0, 1749, 362, 1, 0, 0, 0, 1750, 1751, 3, 439, 219, 0, 1751, 1752, 3, 425, 212, 0, 1752, 1753, 3, 419, 209, 0, 1753, 1754, 3, 437, 218, 0, 1754, 1755, 3, 421, 210, 0, 1755, 1756, 3, 405, 202, 0, 1756, 364, 1, 0, 0, 0, 1757, 1758, 3, 441, 220, 0, 1758, 1759, 3, 397, 198, 0, 1759, 1760, 3, 435, 217, 0, 1760, 1761, 3, 401, 200, 0, 1761, 1762, 3, 411, 205, 0, 1762, 366, 1, 0, 0, 0, 1763, 1764, 3, 441, 220, 0, 1764, 1765, 3, 405, 202, 0, 1765, 1766, 3, 405, 202, 0, 1766, 1767, 3, 417, 208, 0, 1767, 368, 1, 0, 0, 0, 1768, 1769, 3, 441, 220, 0, 1769, 1770, 3, 411, 205, 0, 1770, 1771, 3, 405, 202, 0, 1771, 1772, 3, 423, 211, 0, 1772, 370, 1, 0, 0, 0, 1773, 1774, 3, 441, 220, 0, 1774, 1775, 3, 411, 205, 0, 1775, 1776, 3, 405, 202, 0, 1776, 1777, 3, 431, 215, 0, 1777, 1778, 3, 405, 202, 0, 1778, 372, 1, 0, 0, 0, 1779, 1780, 3, 441, 220, 0, 1780, 1781, 3, 413, 206, 0, 1781, 1782, 3, 423, 211, 0, 1782, 1783, 3, 403, 201, 0, 1783, 1784, 3, 425, 212, 0, 1784, 1785, 3, 441, 220, 0, 1785, 374, 1, 0, 0, 0, 1786, 1787, 3, 441, 220, 0, 1787, 1788, 3, 413, 206, 0, 1788, 1789, 3, 435, 217, 0, 1789, 1790, 3, 411, 205, 0, 1790, 376, 1, 0, 0, 0, 1791, 1792, 3, 445, 222, 0, 1792, 1793, 3, 405, 202, 0, 1793, 1794, 3, 397, 198, 0, 1794, 1795, 3, 431, 215, 0, 1795, 1802, 1, 0, 0, 0, 1796, 1797, 3, 445, 222, 0, 1797, 1798, 3, 445, 222, 0, 1798, 1799, 3, 445, 222, 0, 1799, 1800, 3, 445, 222, 0, 1800, 1802, 1, 0, 0, 0, 1801, 1791, 1, 0, 0, 0, 1801, 1796, 1, 0, 0, 0, 1802, 378, 1, 0, 0, 0, 1803, 1804, 5, 102, 0, 0, 1804, 1805, 5, 97, 0, 0, 1805, 1806, 5, 108, 0, 0, 1806, 1807, 5, 115, 0, 0, 1807, 1808, 5, 101, 0, 0, 1808, 380, 1, 0, 0, 0, 1809, 1810, 5, 116, 0, 0, 1810, 1811, 5, 114, 0, 0, 1811, 1812, 5, 117, 0, 0, 1812, 1813, 5, 101, 0, 0, 1813, 382, 1, 0, 0, 0, 1814, 1815, 3, 463, 231, 0, 1815, 1816, 3, 399, 199, 0, 1816, 1845, 1, 0, 0, 0, 1817, 1818, 3, 463, 231, 0, 1818, 1819, 3, 407, 203, 0, 1819, 1845, 1, 0, 0, 0, 1820, 1821, 3, 463, 231, 0, 1821, 1822, 3, 431, 215, 0, 1822, 1845, 1, 0, 0, 0, 1823, 1824, 3, 463, 231, 0, 1824, 1825, 3, 423, 211, 0, 1825, 1845, 1, 0, 0, 0, 1826, 1827, 3, 463, 231, 0, 1827, 1828, 3, 435, 217, 0, 1828, 1845, 1, 0, 0, 0, 1829, 1830, 3, 463, 231, 0, 1830, 1831, 5, 48, 0, 0, 1831, 1845, 1, 0, 0, 0, 1832, 1833, 3, 463, 231, 0, 1833, 1834, 3, 397, 198, 0, 1834, 1845, 1, 0, 0, 0, 1835, 1836, 3, 463, 231, 0, 1836, 1837, 3, 439, 219, 0, 1837, 1845, 1, 0, 0, 0, 1838, 1839, 3, 463, 231, 0, 1839, 1840, 3, 463, 231, 0, 1840, 1845, 1, 0, 0, 0, 1841, 1842, 3, 463, 231, 0, 1842, 1843, 3, 507, 253, 0, 1843, 1845, 1, 0, 0, 0, 1844, 1814, 1, 0, 0, 0, 1844, 1817, 1, 0, 0, 0, 1844, 1820, 1, 0, 0, 0, 1844, 1823, 1, 0, 0, 0, 1844, 1826, 1, 0, 0, 0, 1844, 1829, 1, 0, 0, 0, 1844, 1832, 1, 0, 0, 0, 1844, 1835, 1, 0, 0, 0, 1844, 1838, 1, 0, 0, 0, 1844, 1841, 1, 0, 0, 0, 1845, 384, 1, 0, 0, 0, 1846, 1850, 3, 449, 224, 0, 1847, 1850, 3, 519, 259, 0, 1848, 1850, 3, 473, 236, 0, 1849, 1846, 1, 0, 0, 0, 1849, 1847, 1, 0, 0, 0, 1849, 1848, 1, 0, 0, 0, 1850, 1857, 1, 0, 0, 0, 1851, 1856, 3, 449, 224, 0, 1852, 1856, 3, 519, 259, 0, 1853, 1856, 3, 453, 226, 0, 1854, 1856, 3, 473, 236, 0, 1855, 1851, 1, 0, 0, 0, 1855, 1852, 1, 0, 0, 0, 1855, 1853, 1, 0, 0, 0, 1855, 1854, 1, 0, 0, 0, 1856, 1859, 1, 0, 0, 0, 1857, 1855, 1, 0, 0, 0, 1857, 1858, 1, 0, 0, 0, 1858, 1874, 1, 0, 0, 0, 1859, 1857, 1, 0, 0, 0, 1860, 1868, 3, 461, 230, 0, 1861, 1867, 8, 0, 0, 0, 1862, 1867, 3, 383, 191, 0, 1863, 1864, 3, 461, 230, 0, 1864, 1865, 3, 461, 230, 0, 1865, 1867, 1, 0, 0, 0, 1866, 1861, 1, 0, 0, 0, 1866, 1862, 1, 0, 0, 0, 1866, 1863, 1, 0, 0, 0, 1867, 1870, 1, 0, 0, 0, 1868, 1866, 1, 0, 0, 0, 1868, 1869, 1, 0, 0, 0, 1869, 1871, 1, 0, 0, 0, 1870, 1868, 1, 0, 0, 0, 1871, 1872, 3, 461, 230, 0, 1872, 1874, 1, 0, 0, 0, 1873, 1849, 1, 0, 0, 0, 1873, 1860, 1, 0, 0, 0, 1874, 386, 1, 0, 0, 0, 1875, 1876, 3, 393, 196, 0, 1876, 1880, 3, 475, 237, 0, 1877, 1879, 3, 455, 227, 0, 1878, 1877, 1, 0, 0, 0, 1879, 1882, 1, 0, 0, 0, 1880, 1878, 1, 0, 0, 0, 1880, 1881, 1, 0, 0, 0, 1881, 1885, 1, 0, 0, 0, 1882, 1880, 1, 0, 0, 0, 1883, 1886, 3, 427, 213, 0, 1884, 1886, 3, 405, 202, 0, 1885, 1883, 1, 0, 0, 0, 1885, 1884, 1, 0, 0, 0, 1886, 1889, 1, 0, 0, 0, 1887, 1890, 3, 501, 250, 0, 1888, 1890, 3, 471, 235, 0, 1889, 1887, 1, 0, 0, 0, 1889, 1888, 1, 0, 0, 0, 1889, 1890, 1, 0, 0, 0, 1890, 1892, 1, 0, 0, 0, 1891, 1893, 3, 453, 226, 0, 1892, 1891, 1, 0, 0, 0, 1893, 1894, 1, 0, 0, 0, 1894, 1892, 1, 0, 0, 0, 1894, 1895, 1, 0, 0, 0, 1895, 1952, 1, 0, 0, 0, 1896, 1899, 3, 393, 196, 0, 1897, 1900, 3, 427, 213, 0, 1898, 1900, 3, 405, 202, 0, 1899, 1897, 1, 0, 0, 0, 1899, 1898, 1, 0, 0, 0, 1900, 1903, 1, 0, 0, 0, 1901, 1904, 3, 501, 250, 0, 1902, 1904, 3, 471, 235, 0, 1903, 1901, 1, 0, 0, 0, 1903, 1902, 1, 0, 0, 0, 1903, 1904, 1, 0, 0, 0, 1904, 1906, 1, 0, 0, 0, 1905, 1907, 3, 453, 226, 0, 1906, 1905, 1, 0, 0, 0, 1907, 1908, 1, 0, 0, 0, 1908, 1906, 1, 0, 0, 0, 1908, 1909, 1, 0, 0, 0, 1909, 1952, 1, 0, 0, 0, 1910, 1911, 3, 391, 195, 0, 1911, 1915, 3, 475, 237, 0, 1912, 1914, 3, 453, 226, 0, 1913, 1912, 1, 0, 0, 0, 1914, 1917, 1, 0, 0, 0, 1915, 1913, 1, 0, 0, 0, 1915, 1916, 1, 0, 0, 0, 1916, 1918, 1, 0, 0, 0, 1917, 1915, 1, 0, 0, 0, 1918, 1921, 3, 405, 202, 0, 1919, 1922, 3, 501, 250, 0, 1920, 1922, 3, 471, 235, 0, 1921, 1919, 1, 0, 0, 0, 1921, 1920, 1, 0, 0, 0, 1921, 1922, 1, 0, 0, 0, 1922, 1924, 1, 0, 0, 0, 1923, 1925, 3, 453, 226, 0, 1924, 1923, 1, 0, 0, 0, 1925, 1926, 1, 0, 0, 0, 1926, 1924, 1, 0, 0, 0, 1926, 1927, 1, 0, 0, 0, 1927, 1952, 1, 0, 0, 0, 1928, 1929, 3, 475, 237, 0, 1929, 1930, 3, 391, 195, 0, 1930, 1933, 3, 405, 202, 0, 1931, 1934, 3, 501, 250, 0, 1932, 1934, 3, 471, 235, 0, 1933, 1931, 1, 0, 0, 0, 1933, 1932, 1, 0, 0, 0, 1933, 1934, 1, 0, 0, 0, 1934, 1936, 1, 0, 0, 0, 1935, 1937, 3, 453, 226, 0, 1936, 1935, 1, 0, 0, 0, 1937, 1938, 1, 0, 0, 0, 1938, 1936, 1, 0, 0, 0, 1938, 1939, 1, 0, 0, 0, 1939, 1952, 1, 0, 0, 0, 1940, 1941, 3, 391, 195, 0, 1941, 1944, 3, 405, 202, 0, 1942, 1945, 3, 501, 250, 0, 1943, 1945, 3, 471, 235, 0, 1944, 1942, 1, 0, 0, 0, 1944, 1943, 1, 0, 0, 0, 1944, 1945, 1, 0, 0, 0, 1945, 1947, 1, 0, 0, 0, 1946, 1948, 3, 453, 226, 0, 1947, 1946, 1, 0, 0, 0, 1948, 1949, 1, 0, 0, 0, 1949, 1947, 1, 0, 0, 0, 1949, 1950, 1, 0, 0, 0, 1950, 1952, 1, 0, 0, 0, 1951, 1875, 1, 0, 0, 0, 1951, 1896, 1, 0, 0, 0, 1951, 1910, 1, 0, 0, 0, 1951, 1928, 1, 0, 0, 0, 1951, 1940, 1, 0, 0, 0, 1952, 388, 1, 0, 0, 0, 1953, 1955, 5, 48, 0, 0, 1954, 1956, 3, 451, 225, 0, 1955, 1954, 1, 0, 0, 0, 1956, 1957, 1, 0, 0, 0, 1957, 1955, 1, 0, 0, 0, 1957, 1958, 1, 0, 0, 0, 1958, 390, 1, 0, 0, 0, 1959, 1961, 3, 453, 226, 0, 1960, 1959, 1, 0, 0, 0, 1961, 1962, 1, 0, 0, 0, 1962, 1960, 1, 0, 0, 0, 1962, 1963, 1, 0, 0, 0, 1963, 392, 1, 0, 0, 0, 1964, 1965, 5, 48, 0, 0, 1965, 1967, 3, 443, 221, 0, 1966, 1968, 3, 455, 227, 0, 1967, 1966, 1, 0, 0, 0, 1968, 1969, 1, 0, 0, 0, 1969, 1967, 1, 0, 0, 0, 1969, 1970, 1, 0, 0, 0, 1970, 394, 1, 0, 0, 0, 1971, 1979, 3, 507, 253, 0, 1972, 1978, 8, 1, 0, 0, 1973, 1978, 3, 383, 191, 0, 1974, 1975, 3, 507, 253, 0, 1975, 1976, 3, 507, 253, 0, 1976, 1978, 1, 0, 0, 0, 1977, 1972, 1, 0, 0, 0, 1977, 1973, 1, 0, 0, 0, 1977, 1974, 1, 0, 0, 0, 1978, 1981, 1, 0, 0, 0, 1979, 1977, 1, 0, 0, 0, 1979, 1980, 1, 0, 0, 0, 1980, 1982, 1, 0, 0, 0, 1981, 1979, 1, 0, 0, 0, 1982, 1983, 3, 507, 253, 0, 1983, 1998, 1, 0, 0, 0, 1984, 1992, 3, 505, 252, 0, 1985, 1991, 8, 2, 0, 0, 1986, 1991, 3, 383, 191, 0, 1987, 1988, 3, 505, 252, 0, 1988, 1989, 3, 505, 252, 0, 1989, 1991, 1, 0, 0, 0, 1990, 1985, 1, 0, 0, 0, 1990, 1986, 1, 0, 0, 0, 1990, 1987, 1, 0, 0, 0, 1991, 1994, 1, 0, 0, 0, 1992, 1990, 1, 0, 0, 0, 1992, 1993, 1, 0, 0, 0, 1993, 1995, 1, 0, 0, 0, 1994, 1992, 1, 0, 0, 0, 1995, 1996, 3, 505, 252, 0, 1996, 1998, 1, 0, 0, 0, 1997, 1971, 1, 0, 0, 0, 1997, 1984, 1, 0, 0, 0, 1998, 396, 1, 0, 0, 0, 1999, 2000, 7, 3, 0, 0, 2000, 398, 1, 0, 0, 0, 2001, 2002, 7, 4, 0, 0, 2002, 400, 1, 0, 0, 0, 2003, 2004, 7, 5, 0, 0, 2004, 402, 1, 0, 0, 0, 2005, 2006, 7, 6, 0, 0, 2006, 404, 1, 0, 0, 0, 2007, 2008, 7, 7, 0, 0, 2008, 406, 1, 0, 0, 0, 2009, 2010, 7, 8, 0, 0, 2010, 408, 1, 0, 0, 0, 2011, 2012, 7, 9, 0, 0, 2012, 410, 1, 0, 0, 0, 2013, 2014, 7, 10, 0, 0, 2014, 412, 1, 0, 0, 0, 2015, 2016, 7, 11, 0, 0, 2016, 414, 1, 0, 0, 0, 2017, 2018, 7, 12, 0, 0, 2018, 416, 1, 0, 0, 0, 2019, 2020, 7, 13, 0, 0, 2020, 418, 1, 0, 0, 0, 2021, 2022, 7, 14, 0, 0, 2022, 420, 1, 0, 0, 0, 2023, 2024, 7, 15, 0, 0, 2024, 422, 1, 0, 0, 0, 2025, 2026, 7, 16, 0, 0, 2026, 424, 1, 0, 0, 0, 2027, 2028, 7, 17, 0, 0, 2028, 426, 1, 0, 0, 0, 2029, 2030, 7, 18, 0, 0, 2030, 428, 1, 0, 0, 0, 2031, 2032, 7, 19, 0, 0, 2032, 430, 1, 0, 0, 0, 2033, 2034, 7, 20, 0, 0, 2034, 432, 1, 0, 0, 0, 2035, 2036, 7, 21, 0, 0, 2036, 434, 1, 0, 0, 0, 2037, 2038, 7, 22, 0, 0, 2038, 436, 1, 0, 0, 0, 2039, 2040, 7, 23, 0, 0, 2040, 438, 1, 0, 0, 0, 2041, 2042, 7, 24, 0, 0, 2042, 440, 1, 0, 0, 0, 2043, 2044, 7, 25, 0, 0, 2044, 442, 1, 0, 0, 0, 2045, 2046, 7, 26, 0, 0, 2046, 444, 1, 0, 0, 0, 2047, 2048, 7, 27, 0, 0, 2048, 446, 1, 0, 0, 0, 2049, 2050, 7, 28, 0, 0, 2050, 448, 1, 0, 0, 0, 2051, 2052, 7, 29, 0, 0, 2052, 450, 1, 0, 0, 0, 2053, 2054, 7, 30, 0, 0, 2054, 452, 1, 0, 0, 0, 2055, 2056, 7, 31, 0, 0, 2056, 454, 1, 0, 0, 0, 2057, 2058, 7, 32, 0, 0, 2058, 456, 1, 0, 0, 0, 2059, 2060, 5, 45, 0, 0, 2060, 2061, 5, 62, 0, 0, 2061, 458, 1, 0, 0, 0, 2062, 2063, 5, 42, 0, 0, 2063, 460, 1, 0, 0, 0, 2064, 2065, 5, 96, 0, 0, 2065, 462, 1, 0, 0, 0, 2066, 2067, 5, 92, 0, 0, 2067, 464, 1, 0, 0, 0, 2068, 2069, 5, 58, 0, 0, 2069, 466, 1, 0, 0, 0, 2070, 2071, 5, 44, 0, 0, 2071, 468, 1, 0, 0, 0, 2072, 2073, 5, 124, 0, 0, 2073, 2074, 5, 124, 0, 0, 2074, 470, 1, 0, 0, 0, 2075, 2076, 5, 45, 0, 0, 2076, 472, 1, 0, 0, 0, 2077, 2078, 5, 36, 0, 0, 2078, 474, 1, 0, 0, 0, 2079, 2080, 5, 46, 0, 0, 2080, 476, 1, 0, 0, 0, 2081, 2082, 5, 61, 0, 0, 2082, 2083, 5, 61, 0, 0, 2083, 478, 1, 0, 0, 0, 2084, 2085, 5, 61, 0, 0, 2085, 480, 1, 0, 0, 0, 2086, 2087, 5, 62, 0, 0, 2087, 2088, 5, 61, 0, 0, 2088, 482, 1, 0, 0, 0, 2089, 2090, 5, 62, 0, 0, 2090, 484, 1, 0, 0, 0, 2091, 2092, 5, 35, 0, 0, 2092, 486, 1, 0, 0, 0, 2093, 2094, 5, 123, 0, 0, 2094, 488, 1, 0, 0, 0, 2095, 2096, 5, 91, 0, 0, 2096, 490, 1, 0, 0, 0, 2097, 2098, 5, 60, 0, 0, 2098, 2099, 5, 61, 0, 0, 2099, 492, 1, 0, 0, 0, 2100, 2101, 5, 40, 0, 0, 2101, 494, 1, 0, 0, 0, 2102, 2103, 5, 60, 0, 0, 2103, 496, 1, 0, 0, 0, 2104, 2105, 5, 33, 0, 0, 2105, 2109, 5, 61, 0, 0, 2106, 2107, 5, 60, 0, 0, 2107, 2109, 5, 62, 0, 0, 2108, 2104, 1, 0, 0, 0, 2108, 2106, 1, 0, 0, 0, 2109, 498, 1, 0, 0, 0, 2110, 2111, 5, 37, 0, 0, 2111, 500, 1, 0, 0, 0, 2112, 2113, 5, 43, 0, 0, 2113, 502, 1, 0, 0, 0, 2114, 2115, 5, 63, 0, 0, 2115, 504, 1, 0, 0, 0, 2116, 2117, 5, 34, 0, 0, 2117, 506, 1, 0, 0, 0, 2118, 2119, 5, 39, 0, 0, 2119, 508, 1, 0, 0, 0, 2120, 2121, 5, 125, 0, 0, 2121, 510, 1, 0, 0, 0, 2122, 2123, 5, 93, 0, 0, 2123, 512, 1, 0, 0, 0, 2124, 2125, 5, 41, 0, 0, 2125, 514, 1, 0, 0, 0, 2126, 2127, 5, 59, 0, 0, 2127, 516, 1, 0, 0, 0, 2128, 2129, 5, 47, 0, 0, 2129, 518, 1, 0, 0, 0, 2130, 2131, 5, 95, 0, 0, 2131, 520, 1, 0, 0, 0, 2132, 2133, 5, 47, 0, 0, 2133, 2134, 5, 42, 0, 0, 2134, 2138, 1, 0, 0, 0, 2135, 2137, 9, 0, 0, 0, 2136, 2135, 1, 0, 0, 0, 2137, 2140, 1, 0, 0, 0, 2138, 2139, 1, 0, 0, 0, 2138, 2136, 1, 0, 0, 0, 2139, 2141, 1, 0, 0, 0, 2140, 2138, 1, 0, 0, 0, 2141, 2142, 5, 42, 0, 0, 2142, 2143, 5, 47, 0, 0, 2143, 2144, 1, 0, 0, 0, 2144, 2145, 6, 260, 0, 0, 2145, 522, 1, 0, 0, 0, 2146, 2147, 5, 45, 0, 0, 2147, 2148, 5, 45, 0, 0, 2148, 2152, 1, 0, 0, 0, 2149, 2151, 8, 33, 0, 0, 2150, 2149, 1, 0, 0, 0, 2151, 2154, 1, 0, 0, 0, 2152, 2150, 1, 0, 0, 0, 2152, 2153, 1, 0, 0, 0, 2153, 2156, 1, 0, 0, 0, 2154, 2152, 1, 0, 0, 0, 2155, 2157, 7, 34, 0, 0, 2156, 2155, 1, 0, 0, 0, 2157, 2158, 1, 0, 0, 0, 2158, 2159, 6, 261, 0, 0, 2159, 524, 1, 0, 0, 0, 2160, 2161, 7, 35, 0, 0, 2161, 2162, 1, 0, 0, 0, 2162, 2163, 6, 262, 0, 0, 2163, 526, 1, 0, 0, 0, 38, 0, 589, 1087, 1801, 1844, 1849, 1855, 1857, 1866, 1868, 1873, 1880, 1885, 1889, 1894, 1899, 1903, 1908, 1915, 1921, 1926, 1933, 1938, 1944, 1949, 1951, 1957, 1962, 1969, 1977, 1979, 1990, 1992, 1997, 2108, 2138, 2152, 2156, 1, 6, 0, 0] \ No newline at end of file +[4, 0, 233, 2162, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 2, 136, 7, 136, 2, 137, 7, 137, 2, 138, 7, 138, 2, 139, 7, 139, 2, 140, 7, 140, 2, 141, 7, 141, 2, 142, 7, 142, 2, 143, 7, 143, 2, 144, 7, 144, 2, 145, 7, 145, 2, 146, 7, 146, 2, 147, 7, 147, 2, 148, 7, 148, 2, 149, 7, 149, 2, 150, 7, 150, 2, 151, 7, 151, 2, 152, 7, 152, 2, 153, 7, 153, 2, 154, 7, 154, 2, 155, 7, 155, 2, 156, 7, 156, 2, 157, 7, 157, 2, 158, 7, 158, 2, 159, 7, 159, 2, 160, 7, 160, 2, 161, 7, 161, 2, 162, 7, 162, 2, 163, 7, 163, 2, 164, 7, 164, 2, 165, 7, 165, 2, 166, 7, 166, 2, 167, 7, 167, 2, 168, 7, 168, 2, 169, 7, 169, 2, 170, 7, 170, 2, 171, 7, 171, 2, 172, 7, 172, 2, 173, 7, 173, 2, 174, 7, 174, 2, 175, 7, 175, 2, 176, 7, 176, 2, 177, 7, 177, 2, 178, 7, 178, 2, 179, 7, 179, 2, 180, 7, 180, 2, 181, 7, 181, 2, 182, 7, 182, 2, 183, 7, 183, 2, 184, 7, 184, 2, 185, 7, 185, 2, 186, 7, 186, 2, 187, 7, 187, 2, 188, 7, 188, 2, 189, 7, 189, 2, 190, 7, 190, 2, 191, 7, 191, 2, 192, 7, 192, 2, 193, 7, 193, 2, 194, 7, 194, 2, 195, 7, 195, 2, 196, 7, 196, 2, 197, 7, 197, 2, 198, 7, 198, 2, 199, 7, 199, 2, 200, 7, 200, 2, 201, 7, 201, 2, 202, 7, 202, 2, 203, 7, 203, 2, 204, 7, 204, 2, 205, 7, 205, 2, 206, 7, 206, 2, 207, 7, 207, 2, 208, 7, 208, 2, 209, 7, 209, 2, 210, 7, 210, 2, 211, 7, 211, 2, 212, 7, 212, 2, 213, 7, 213, 2, 214, 7, 214, 2, 215, 7, 215, 2, 216, 7, 216, 2, 217, 7, 217, 2, 218, 7, 218, 2, 219, 7, 219, 2, 220, 7, 220, 2, 221, 7, 221, 2, 222, 7, 222, 2, 223, 7, 223, 2, 224, 7, 224, 2, 225, 7, 225, 2, 226, 7, 226, 2, 227, 7, 227, 2, 228, 7, 228, 2, 229, 7, 229, 2, 230, 7, 230, 2, 231, 7, 231, 2, 232, 7, 232, 2, 233, 7, 233, 2, 234, 7, 234, 2, 235, 7, 235, 2, 236, 7, 236, 2, 237, 7, 237, 2, 238, 7, 238, 2, 239, 7, 239, 2, 240, 7, 240, 2, 241, 7, 241, 2, 242, 7, 242, 2, 243, 7, 243, 2, 244, 7, 244, 2, 245, 7, 245, 2, 246, 7, 246, 2, 247, 7, 247, 2, 248, 7, 248, 2, 249, 7, 249, 2, 250, 7, 250, 2, 251, 7, 251, 2, 252, 7, 252, 2, 253, 7, 253, 2, 254, 7, 254, 2, 255, 7, 255, 2, 256, 7, 256, 2, 257, 7, 257, 2, 258, 7, 258, 2, 259, 7, 259, 2, 260, 7, 260, 2, 261, 7, 261, 2, 262, 7, 262, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 3, 10, 590, 8, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 12, 1, 12, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 17, 1, 17, 1, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 1, 35, 1, 35, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 42, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 46, 1, 46, 1, 46, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 75, 1, 75, 1, 75, 1, 76, 1, 76, 1, 76, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 78, 1, 78, 1, 78, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 3, 80, 1088, 8, 80, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 86, 1, 86, 1, 86, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 89, 1, 89, 1, 89, 1, 89, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 103, 1, 103, 1, 103, 1, 103, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 105, 1, 105, 1, 105, 1, 105, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 111, 1, 111, 1, 111, 1, 111, 1, 112, 1, 112, 1, 112, 1, 113, 1, 113, 1, 113, 1, 113, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 117, 1, 117, 1, 117, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 119, 1, 119, 1, 119, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 140, 1, 140, 1, 140, 1, 140, 1, 141, 1, 141, 1, 141, 1, 141, 1, 141, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 147, 1, 147, 1, 147, 1, 147, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 149, 1, 149, 1, 149, 1, 149, 1, 149, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 151, 1, 151, 1, 151, 1, 151, 1, 151, 1, 151, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 154, 1, 154, 1, 154, 1, 154, 1, 154, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 162, 1, 162, 1, 162, 1, 162, 1, 162, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 164, 1, 165, 1, 165, 1, 165, 1, 166, 1, 166, 1, 166, 1, 166, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 167, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 168, 1, 169, 1, 169, 1, 169, 1, 169, 1, 169, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 170, 1, 171, 1, 171, 1, 171, 1, 171, 1, 172, 1, 172, 1, 172, 1, 172, 1, 172, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 173, 1, 174, 1, 174, 1, 174, 1, 174, 1, 174, 1, 174, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 175, 1, 176, 1, 176, 1, 176, 1, 176, 1, 177, 1, 177, 1, 177, 1, 177, 1, 177, 1, 177, 1, 178, 1, 178, 1, 178, 1, 178, 1, 178, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 179, 1, 180, 1, 180, 1, 180, 1, 180, 1, 180, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 181, 1, 182, 1, 182, 1, 182, 1, 182, 1, 182, 1, 182, 1, 183, 1, 183, 1, 183, 1, 183, 1, 183, 1, 184, 1, 184, 1, 184, 1, 184, 1, 184, 1, 185, 1, 185, 1, 185, 1, 185, 1, 185, 1, 185, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 186, 1, 187, 1, 187, 1, 187, 1, 187, 1, 187, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 1, 188, 3, 188, 1802, 8, 188, 1, 189, 1, 189, 1, 189, 1, 189, 1, 189, 1, 189, 1, 190, 1, 190, 1, 190, 1, 190, 1, 190, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 1, 191, 3, 191, 1845, 8, 191, 1, 192, 1, 192, 1, 192, 3, 192, 1850, 8, 192, 1, 192, 1, 192, 1, 192, 1, 192, 5, 192, 1856, 8, 192, 10, 192, 12, 192, 1859, 9, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 5, 192, 1867, 8, 192, 10, 192, 12, 192, 1870, 9, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 1, 192, 5, 192, 1880, 8, 192, 10, 192, 12, 192, 1883, 9, 192, 1, 192, 1, 192, 3, 192, 1887, 8, 192, 1, 193, 1, 193, 1, 193, 5, 193, 1892, 8, 193, 10, 193, 12, 193, 1895, 9, 193, 1, 193, 1, 193, 3, 193, 1899, 8, 193, 1, 193, 1, 193, 3, 193, 1903, 8, 193, 1, 193, 4, 193, 1906, 8, 193, 11, 193, 12, 193, 1907, 1, 193, 1, 193, 1, 193, 3, 193, 1913, 8, 193, 1, 193, 1, 193, 3, 193, 1917, 8, 193, 1, 193, 4, 193, 1920, 8, 193, 11, 193, 12, 193, 1921, 1, 193, 1, 193, 1, 193, 5, 193, 1927, 8, 193, 10, 193, 12, 193, 1930, 9, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1935, 8, 193, 1, 193, 4, 193, 1938, 8, 193, 11, 193, 12, 193, 1939, 1, 193, 1, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1947, 8, 193, 1, 193, 4, 193, 1950, 8, 193, 11, 193, 12, 193, 1951, 1, 193, 1, 193, 1, 193, 1, 193, 3, 193, 1958, 8, 193, 1, 193, 4, 193, 1961, 8, 193, 11, 193, 12, 193, 1962, 3, 193, 1965, 8, 193, 1, 194, 1, 194, 4, 194, 1969, 8, 194, 11, 194, 12, 194, 1970, 1, 195, 4, 195, 1974, 8, 195, 11, 195, 12, 195, 1975, 1, 196, 1, 196, 1, 196, 4, 196, 1981, 8, 196, 11, 196, 12, 196, 1982, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 1, 197, 5, 197, 1991, 8, 197, 10, 197, 12, 197, 1994, 9, 197, 1, 197, 1, 197, 1, 198, 1, 198, 1, 199, 1, 199, 1, 200, 1, 200, 1, 201, 1, 201, 1, 202, 1, 202, 1, 203, 1, 203, 1, 204, 1, 204, 1, 205, 1, 205, 1, 206, 1, 206, 1, 207, 1, 207, 1, 208, 1, 208, 1, 209, 1, 209, 1, 210, 1, 210, 1, 211, 1, 211, 1, 212, 1, 212, 1, 213, 1, 213, 1, 214, 1, 214, 1, 215, 1, 215, 1, 216, 1, 216, 1, 217, 1, 217, 1, 218, 1, 218, 1, 219, 1, 219, 1, 220, 1, 220, 1, 221, 1, 221, 1, 222, 1, 222, 1, 223, 1, 223, 1, 224, 1, 224, 1, 225, 1, 225, 1, 226, 1, 226, 1, 227, 1, 227, 1, 228, 1, 228, 1, 228, 1, 229, 1, 229, 1, 230, 1, 230, 1, 231, 1, 231, 1, 232, 1, 232, 1, 233, 1, 233, 1, 234, 1, 234, 1, 234, 1, 235, 1, 235, 1, 236, 1, 236, 1, 237, 1, 237, 1, 238, 1, 238, 1, 238, 1, 239, 1, 239, 1, 240, 1, 240, 1, 240, 1, 241, 1, 241, 1, 242, 1, 242, 1, 243, 1, 243, 1, 244, 1, 244, 1, 245, 1, 245, 1, 245, 1, 246, 1, 246, 1, 247, 1, 247, 1, 248, 1, 248, 1, 248, 1, 248, 3, 248, 2107, 8, 248, 1, 249, 1, 249, 1, 250, 1, 250, 1, 251, 1, 251, 1, 252, 1, 252, 1, 253, 1, 253, 1, 254, 1, 254, 1, 255, 1, 255, 1, 256, 1, 256, 1, 257, 1, 257, 1, 258, 1, 258, 1, 259, 1, 259, 1, 260, 1, 260, 1, 260, 1, 260, 5, 260, 2135, 8, 260, 10, 260, 12, 260, 2138, 9, 260, 1, 260, 1, 260, 1, 260, 1, 260, 1, 260, 1, 261, 1, 261, 1, 261, 1, 261, 5, 261, 2149, 8, 261, 10, 261, 12, 261, 2152, 9, 261, 1, 261, 3, 261, 2155, 8, 261, 1, 261, 1, 261, 1, 262, 1, 262, 1, 262, 1, 262, 1, 2136, 0, 263, 1, 1, 3, 2, 5, 3, 7, 4, 9, 5, 11, 6, 13, 7, 15, 8, 17, 9, 19, 10, 21, 11, 23, 12, 25, 13, 27, 14, 29, 15, 31, 16, 33, 17, 35, 18, 37, 19, 39, 20, 41, 21, 43, 22, 45, 23, 47, 24, 49, 25, 51, 26, 53, 27, 55, 28, 57, 29, 59, 30, 61, 31, 63, 32, 65, 33, 67, 34, 69, 35, 71, 36, 73, 37, 75, 38, 77, 39, 79, 40, 81, 41, 83, 42, 85, 43, 87, 44, 89, 45, 91, 46, 93, 47, 95, 48, 97, 49, 99, 50, 101, 51, 103, 52, 105, 53, 107, 54, 109, 55, 111, 56, 113, 57, 115, 58, 117, 59, 119, 60, 121, 61, 123, 62, 125, 63, 127, 64, 129, 65, 131, 66, 133, 67, 135, 68, 137, 69, 139, 70, 141, 71, 143, 72, 145, 73, 147, 74, 149, 75, 151, 76, 153, 77, 155, 78, 157, 79, 159, 80, 161, 81, 163, 82, 165, 83, 167, 84, 169, 85, 171, 86, 173, 87, 175, 88, 177, 89, 179, 90, 181, 91, 183, 92, 185, 93, 187, 94, 189, 95, 191, 96, 193, 97, 195, 98, 197, 99, 199, 100, 201, 101, 203, 102, 205, 103, 207, 104, 209, 105, 211, 106, 213, 107, 215, 108, 217, 109, 219, 110, 221, 111, 223, 112, 225, 113, 227, 114, 229, 115, 231, 116, 233, 117, 235, 118, 237, 119, 239, 120, 241, 121, 243, 122, 245, 123, 247, 124, 249, 125, 251, 126, 253, 127, 255, 128, 257, 129, 259, 130, 261, 131, 263, 132, 265, 133, 267, 134, 269, 135, 271, 136, 273, 137, 275, 138, 277, 139, 279, 140, 281, 141, 283, 142, 285, 143, 287, 144, 289, 145, 291, 146, 293, 147, 295, 148, 297, 149, 299, 150, 301, 151, 303, 152, 305, 153, 307, 154, 309, 155, 311, 156, 313, 157, 315, 158, 317, 159, 319, 160, 321, 161, 323, 162, 325, 163, 327, 164, 329, 165, 331, 166, 333, 167, 335, 168, 337, 169, 339, 170, 341, 171, 343, 172, 345, 173, 347, 174, 349, 175, 351, 176, 353, 177, 355, 178, 357, 179, 359, 180, 361, 181, 363, 182, 365, 183, 367, 184, 369, 185, 371, 186, 373, 187, 375, 188, 377, 189, 379, 190, 381, 191, 383, 192, 385, 193, 387, 194, 389, 195, 391, 196, 393, 197, 395, 198, 397, 0, 399, 0, 401, 0, 403, 0, 405, 0, 407, 0, 409, 0, 411, 0, 413, 0, 415, 0, 417, 0, 419, 0, 421, 0, 423, 0, 425, 0, 427, 0, 429, 0, 431, 0, 433, 0, 435, 0, 437, 0, 439, 0, 441, 0, 443, 0, 445, 0, 447, 0, 449, 0, 451, 0, 453, 0, 455, 0, 457, 199, 459, 200, 461, 201, 463, 202, 465, 203, 467, 204, 469, 205, 471, 206, 473, 207, 475, 208, 477, 209, 479, 210, 481, 211, 483, 212, 485, 213, 487, 214, 489, 215, 491, 216, 493, 217, 495, 218, 497, 219, 499, 220, 501, 221, 503, 222, 505, 223, 507, 224, 509, 225, 511, 226, 513, 227, 515, 228, 517, 229, 519, 230, 521, 231, 523, 232, 525, 233, 1, 0, 36, 2, 0, 92, 92, 96, 96, 2, 0, 34, 34, 92, 92, 2, 0, 39, 39, 92, 92, 2, 0, 65, 65, 97, 97, 2, 0, 66, 66, 98, 98, 2, 0, 67, 67, 99, 99, 2, 0, 68, 68, 100, 100, 2, 0, 69, 69, 101, 101, 2, 0, 70, 70, 102, 102, 2, 0, 71, 71, 103, 103, 2, 0, 72, 72, 104, 104, 2, 0, 73, 73, 105, 105, 2, 0, 74, 74, 106, 106, 2, 0, 75, 75, 107, 107, 2, 0, 76, 76, 108, 108, 2, 0, 77, 77, 109, 109, 2, 0, 78, 78, 110, 110, 2, 0, 79, 79, 111, 111, 2, 0, 80, 80, 112, 112, 2, 0, 81, 81, 113, 113, 2, 0, 82, 82, 114, 114, 2, 0, 83, 83, 115, 115, 2, 0, 84, 84, 116, 116, 2, 0, 85, 85, 117, 117, 2, 0, 86, 86, 118, 118, 2, 0, 87, 87, 119, 119, 2, 0, 88, 88, 120, 120, 2, 0, 89, 89, 121, 121, 2, 0, 90, 90, 122, 122, 2, 0, 65, 90, 97, 122, 1, 0, 48, 55, 1, 0, 48, 57, 3, 0, 48, 57, 65, 70, 97, 102, 2, 0, 10, 10, 13, 13, 2, 1, 10, 10, 13, 13, 2, 0, 9, 13, 32, 32, 2189, 0, 1, 1, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 11, 1, 0, 0, 0, 0, 13, 1, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 17, 1, 0, 0, 0, 0, 19, 1, 0, 0, 0, 0, 21, 1, 0, 0, 0, 0, 23, 1, 0, 0, 0, 0, 25, 1, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 29, 1, 0, 0, 0, 0, 31, 1, 0, 0, 0, 0, 33, 1, 0, 0, 0, 0, 35, 1, 0, 0, 0, 0, 37, 1, 0, 0, 0, 0, 39, 1, 0, 0, 0, 0, 41, 1, 0, 0, 0, 0, 43, 1, 0, 0, 0, 0, 45, 1, 0, 0, 0, 0, 47, 1, 0, 0, 0, 0, 49, 1, 0, 0, 0, 0, 51, 1, 0, 0, 0, 0, 53, 1, 0, 0, 0, 0, 55, 1, 0, 0, 0, 0, 57, 1, 0, 0, 0, 0, 59, 1, 0, 0, 0, 0, 61, 1, 0, 0, 0, 0, 63, 1, 0, 0, 0, 0, 65, 1, 0, 0, 0, 0, 67, 1, 0, 0, 0, 0, 69, 1, 0, 0, 0, 0, 71, 1, 0, 0, 0, 0, 73, 1, 0, 0, 0, 0, 75, 1, 0, 0, 0, 0, 77, 1, 0, 0, 0, 0, 79, 1, 0, 0, 0, 0, 81, 1, 0, 0, 0, 0, 83, 1, 0, 0, 0, 0, 85, 1, 0, 0, 0, 0, 87, 1, 0, 0, 0, 0, 89, 1, 0, 0, 0, 0, 91, 1, 0, 0, 0, 0, 93, 1, 0, 0, 0, 0, 95, 1, 0, 0, 0, 0, 97, 1, 0, 0, 0, 0, 99, 1, 0, 0, 0, 0, 101, 1, 0, 0, 0, 0, 103, 1, 0, 0, 0, 0, 105, 1, 0, 0, 0, 0, 107, 1, 0, 0, 0, 0, 109, 1, 0, 0, 0, 0, 111, 1, 0, 0, 0, 0, 113, 1, 0, 0, 0, 0, 115, 1, 0, 0, 0, 0, 117, 1, 0, 0, 0, 0, 119, 1, 0, 0, 0, 0, 121, 1, 0, 0, 0, 0, 123, 1, 0, 0, 0, 0, 125, 1, 0, 0, 0, 0, 127, 1, 0, 0, 0, 0, 129, 1, 0, 0, 0, 0, 131, 1, 0, 0, 0, 0, 133, 1, 0, 0, 0, 0, 135, 1, 0, 0, 0, 0, 137, 1, 0, 0, 0, 0, 139, 1, 0, 0, 0, 0, 141, 1, 0, 0, 0, 0, 143, 1, 0, 0, 0, 0, 145, 1, 0, 0, 0, 0, 147, 1, 0, 0, 0, 0, 149, 1, 0, 0, 0, 0, 151, 1, 0, 0, 0, 0, 153, 1, 0, 0, 0, 0, 155, 1, 0, 0, 0, 0, 157, 1, 0, 0, 0, 0, 159, 1, 0, 0, 0, 0, 161, 1, 0, 0, 0, 0, 163, 1, 0, 0, 0, 0, 165, 1, 0, 0, 0, 0, 167, 1, 0, 0, 0, 0, 169, 1, 0, 0, 0, 0, 171, 1, 0, 0, 0, 0, 173, 1, 0, 0, 0, 0, 175, 1, 0, 0, 0, 0, 177, 1, 0, 0, 0, 0, 179, 1, 0, 0, 0, 0, 181, 1, 0, 0, 0, 0, 183, 1, 0, 0, 0, 0, 185, 1, 0, 0, 0, 0, 187, 1, 0, 0, 0, 0, 189, 1, 0, 0, 0, 0, 191, 1, 0, 0, 0, 0, 193, 1, 0, 0, 0, 0, 195, 1, 0, 0, 0, 0, 197, 1, 0, 0, 0, 0, 199, 1, 0, 0, 0, 0, 201, 1, 0, 0, 0, 0, 203, 1, 0, 0, 0, 0, 205, 1, 0, 0, 0, 0, 207, 1, 0, 0, 0, 0, 209, 1, 0, 0, 0, 0, 211, 1, 0, 0, 0, 0, 213, 1, 0, 0, 0, 0, 215, 1, 0, 0, 0, 0, 217, 1, 0, 0, 0, 0, 219, 1, 0, 0, 0, 0, 221, 1, 0, 0, 0, 0, 223, 1, 0, 0, 0, 0, 225, 1, 0, 0, 0, 0, 227, 1, 0, 0, 0, 0, 229, 1, 0, 0, 0, 0, 231, 1, 0, 0, 0, 0, 233, 1, 0, 0, 0, 0, 235, 1, 0, 0, 0, 0, 237, 1, 0, 0, 0, 0, 239, 1, 0, 0, 0, 0, 241, 1, 0, 0, 0, 0, 243, 1, 0, 0, 0, 0, 245, 1, 0, 0, 0, 0, 247, 1, 0, 0, 0, 0, 249, 1, 0, 0, 0, 0, 251, 1, 0, 0, 0, 0, 253, 1, 0, 0, 0, 0, 255, 1, 0, 0, 0, 0, 257, 1, 0, 0, 0, 0, 259, 1, 0, 0, 0, 0, 261, 1, 0, 0, 0, 0, 263, 1, 0, 0, 0, 0, 265, 1, 0, 0, 0, 0, 267, 1, 0, 0, 0, 0, 269, 1, 0, 0, 0, 0, 271, 1, 0, 0, 0, 0, 273, 1, 0, 0, 0, 0, 275, 1, 0, 0, 0, 0, 277, 1, 0, 0, 0, 0, 279, 1, 0, 0, 0, 0, 281, 1, 0, 0, 0, 0, 283, 1, 0, 0, 0, 0, 285, 1, 0, 0, 0, 0, 287, 1, 0, 0, 0, 0, 289, 1, 0, 0, 0, 0, 291, 1, 0, 0, 0, 0, 293, 1, 0, 0, 0, 0, 295, 1, 0, 0, 0, 0, 297, 1, 0, 0, 0, 0, 299, 1, 0, 0, 0, 0, 301, 1, 0, 0, 0, 0, 303, 1, 0, 0, 0, 0, 305, 1, 0, 0, 0, 0, 307, 1, 0, 0, 0, 0, 309, 1, 0, 0, 0, 0, 311, 1, 0, 0, 0, 0, 313, 1, 0, 0, 0, 0, 315, 1, 0, 0, 0, 0, 317, 1, 0, 0, 0, 0, 319, 1, 0, 0, 0, 0, 321, 1, 0, 0, 0, 0, 323, 1, 0, 0, 0, 0, 325, 1, 0, 0, 0, 0, 327, 1, 0, 0, 0, 0, 329, 1, 0, 0, 0, 0, 331, 1, 0, 0, 0, 0, 333, 1, 0, 0, 0, 0, 335, 1, 0, 0, 0, 0, 337, 1, 0, 0, 0, 0, 339, 1, 0, 0, 0, 0, 341, 1, 0, 0, 0, 0, 343, 1, 0, 0, 0, 0, 345, 1, 0, 0, 0, 0, 347, 1, 0, 0, 0, 0, 349, 1, 0, 0, 0, 0, 351, 1, 0, 0, 0, 0, 353, 1, 0, 0, 0, 0, 355, 1, 0, 0, 0, 0, 357, 1, 0, 0, 0, 0, 359, 1, 0, 0, 0, 0, 361, 1, 0, 0, 0, 0, 363, 1, 0, 0, 0, 0, 365, 1, 0, 0, 0, 0, 367, 1, 0, 0, 0, 0, 369, 1, 0, 0, 0, 0, 371, 1, 0, 0, 0, 0, 373, 1, 0, 0, 0, 0, 375, 1, 0, 0, 0, 0, 377, 1, 0, 0, 0, 0, 379, 1, 0, 0, 0, 0, 381, 1, 0, 0, 0, 0, 383, 1, 0, 0, 0, 0, 385, 1, 0, 0, 0, 0, 387, 1, 0, 0, 0, 0, 389, 1, 0, 0, 0, 0, 391, 1, 0, 0, 0, 0, 393, 1, 0, 0, 0, 0, 395, 1, 0, 0, 0, 0, 457, 1, 0, 0, 0, 0, 459, 1, 0, 0, 0, 0, 461, 1, 0, 0, 0, 0, 463, 1, 0, 0, 0, 0, 465, 1, 0, 0, 0, 0, 467, 1, 0, 0, 0, 0, 469, 1, 0, 0, 0, 0, 471, 1, 0, 0, 0, 0, 473, 1, 0, 0, 0, 0, 475, 1, 0, 0, 0, 0, 477, 1, 0, 0, 0, 0, 479, 1, 0, 0, 0, 0, 481, 1, 0, 0, 0, 0, 483, 1, 0, 0, 0, 0, 485, 1, 0, 0, 0, 0, 487, 1, 0, 0, 0, 0, 489, 1, 0, 0, 0, 0, 491, 1, 0, 0, 0, 0, 493, 1, 0, 0, 0, 0, 495, 1, 0, 0, 0, 0, 497, 1, 0, 0, 0, 0, 499, 1, 0, 0, 0, 0, 501, 1, 0, 0, 0, 0, 503, 1, 0, 0, 0, 0, 505, 1, 0, 0, 0, 0, 507, 1, 0, 0, 0, 0, 509, 1, 0, 0, 0, 0, 511, 1, 0, 0, 0, 0, 513, 1, 0, 0, 0, 0, 515, 1, 0, 0, 0, 0, 517, 1, 0, 0, 0, 0, 519, 1, 0, 0, 0, 0, 521, 1, 0, 0, 0, 0, 523, 1, 0, 0, 0, 0, 525, 1, 0, 0, 0, 1, 527, 1, 0, 0, 0, 3, 531, 1, 0, 0, 0, 5, 537, 1, 0, 0, 0, 7, 543, 1, 0, 0, 0, 9, 547, 1, 0, 0, 0, 11, 553, 1, 0, 0, 0, 13, 557, 1, 0, 0, 0, 15, 562, 1, 0, 0, 0, 17, 566, 1, 0, 0, 0, 19, 572, 1, 0, 0, 0, 21, 589, 1, 0, 0, 0, 23, 591, 1, 0, 0, 0, 25, 596, 1, 0, 0, 0, 27, 600, 1, 0, 0, 0, 29, 606, 1, 0, 0, 0, 31, 613, 1, 0, 0, 0, 33, 621, 1, 0, 0, 0, 35, 626, 1, 0, 0, 0, 37, 629, 1, 0, 0, 0, 39, 634, 1, 0, 0, 0, 41, 639, 1, 0, 0, 0, 43, 645, 1, 0, 0, 0, 45, 651, 1, 0, 0, 0, 47, 659, 1, 0, 0, 0, 49, 665, 1, 0, 0, 0, 51, 673, 1, 0, 0, 0, 53, 680, 1, 0, 0, 0, 55, 688, 1, 0, 0, 0, 57, 699, 1, 0, 0, 0, 59, 706, 1, 0, 0, 0, 61, 712, 1, 0, 0, 0, 63, 717, 1, 0, 0, 0, 65, 725, 1, 0, 0, 0, 67, 734, 1, 0, 0, 0, 69, 744, 1, 0, 0, 0, 71, 749, 1, 0, 0, 0, 73, 753, 1, 0, 0, 0, 75, 765, 1, 0, 0, 0, 77, 773, 1, 0, 0, 0, 79, 779, 1, 0, 0, 0, 81, 786, 1, 0, 0, 0, 83, 791, 1, 0, 0, 0, 85, 802, 1, 0, 0, 0, 87, 811, 1, 0, 0, 0, 89, 818, 1, 0, 0, 0, 91, 831, 1, 0, 0, 0, 93, 842, 1, 0, 0, 0, 95, 847, 1, 0, 0, 0, 97, 856, 1, 0, 0, 0, 99, 868, 1, 0, 0, 0, 101, 873, 1, 0, 0, 0, 103, 878, 1, 0, 0, 0, 105, 882, 1, 0, 0, 0, 107, 889, 1, 0, 0, 0, 109, 896, 1, 0, 0, 0, 111, 903, 1, 0, 0, 0, 113, 911, 1, 0, 0, 0, 115, 922, 1, 0, 0, 0, 117, 930, 1, 0, 0, 0, 119, 938, 1, 0, 0, 0, 121, 944, 1, 0, 0, 0, 123, 950, 1, 0, 0, 0, 125, 956, 1, 0, 0, 0, 127, 966, 1, 0, 0, 0, 129, 970, 1, 0, 0, 0, 131, 977, 1, 0, 0, 0, 133, 984, 1, 0, 0, 0, 135, 989, 1, 0, 0, 0, 137, 994, 1, 0, 0, 0, 139, 1003, 1, 0, 0, 0, 141, 1010, 1, 0, 0, 0, 143, 1022, 1, 0, 0, 0, 145, 1028, 1, 0, 0, 0, 147, 1035, 1, 0, 0, 0, 149, 1048, 1, 0, 0, 0, 151, 1053, 1, 0, 0, 0, 153, 1056, 1, 0, 0, 0, 155, 1059, 1, 0, 0, 0, 157, 1065, 1, 0, 0, 0, 159, 1068, 1, 0, 0, 0, 161, 1087, 1, 0, 0, 0, 163, 1089, 1, 0, 0, 0, 165, 1099, 1, 0, 0, 0, 167, 1105, 1, 0, 0, 0, 169, 1112, 1, 0, 0, 0, 171, 1121, 1, 0, 0, 0, 173, 1126, 1, 0, 0, 0, 175, 1129, 1, 0, 0, 0, 177, 1142, 1, 0, 0, 0, 179, 1147, 1, 0, 0, 0, 181, 1151, 1, 0, 0, 0, 183, 1156, 1, 0, 0, 0, 185, 1161, 1, 0, 0, 0, 187, 1168, 1, 0, 0, 0, 189, 1176, 1, 0, 0, 0, 191, 1181, 1, 0, 0, 0, 193, 1190, 1, 0, 0, 0, 195, 1195, 1, 0, 0, 0, 197, 1201, 1, 0, 0, 0, 199, 1206, 1, 0, 0, 0, 201, 1212, 1, 0, 0, 0, 203, 1217, 1, 0, 0, 0, 205, 1229, 1, 0, 0, 0, 207, 1242, 1, 0, 0, 0, 209, 1246, 1, 0, 0, 0, 211, 1253, 1, 0, 0, 0, 213, 1257, 1, 0, 0, 0, 215, 1264, 1, 0, 0, 0, 217, 1271, 1, 0, 0, 0, 219, 1277, 1, 0, 0, 0, 221, 1282, 1, 0, 0, 0, 223, 1291, 1, 0, 0, 0, 225, 1295, 1, 0, 0, 0, 227, 1298, 1, 0, 0, 0, 229, 1302, 1, 0, 0, 0, 231, 1307, 1, 0, 0, 0, 233, 1313, 1, 0, 0, 0, 235, 1320, 1, 0, 0, 0, 237, 1323, 1, 0, 0, 0, 239, 1332, 1, 0, 0, 0, 241, 1335, 1, 0, 0, 0, 243, 1341, 1, 0, 0, 0, 245, 1347, 1, 0, 0, 0, 247, 1355, 1, 0, 0, 0, 249, 1360, 1, 0, 0, 0, 251, 1370, 1, 0, 0, 0, 253, 1379, 1, 0, 0, 0, 255, 1389, 1, 0, 0, 0, 257, 1398, 1, 0, 0, 0, 259, 1406, 1, 0, 0, 0, 261, 1417, 1, 0, 0, 0, 263, 1425, 1, 0, 0, 0, 265, 1431, 1, 0, 0, 0, 267, 1438, 1, 0, 0, 0, 269, 1445, 1, 0, 0, 0, 271, 1452, 1, 0, 0, 0, 273, 1460, 1, 0, 0, 0, 275, 1468, 1, 0, 0, 0, 277, 1479, 1, 0, 0, 0, 279, 1485, 1, 0, 0, 0, 281, 1492, 1, 0, 0, 0, 283, 1496, 1, 0, 0, 0, 285, 1501, 1, 0, 0, 0, 287, 1508, 1, 0, 0, 0, 289, 1515, 1, 0, 0, 0, 291, 1522, 1, 0, 0, 0, 293, 1527, 1, 0, 0, 0, 295, 1533, 1, 0, 0, 0, 297, 1537, 1, 0, 0, 0, 299, 1546, 1, 0, 0, 0, 301, 1551, 1, 0, 0, 0, 303, 1558, 1, 0, 0, 0, 305, 1564, 1, 0, 0, 0, 307, 1569, 1, 0, 0, 0, 309, 1579, 1, 0, 0, 0, 311, 1584, 1, 0, 0, 0, 313, 1591, 1, 0, 0, 0, 315, 1598, 1, 0, 0, 0, 317, 1604, 1, 0, 0, 0, 319, 1611, 1, 0, 0, 0, 321, 1621, 1, 0, 0, 0, 323, 1626, 1, 0, 0, 0, 325, 1631, 1, 0, 0, 0, 327, 1636, 1, 0, 0, 0, 329, 1644, 1, 0, 0, 0, 331, 1654, 1, 0, 0, 0, 333, 1657, 1, 0, 0, 0, 335, 1661, 1, 0, 0, 0, 337, 1668, 1, 0, 0, 0, 339, 1677, 1, 0, 0, 0, 341, 1682, 1, 0, 0, 0, 343, 1691, 1, 0, 0, 0, 345, 1695, 1, 0, 0, 0, 347, 1700, 1, 0, 0, 0, 349, 1710, 1, 0, 0, 0, 351, 1716, 1, 0, 0, 0, 353, 1723, 1, 0, 0, 0, 355, 1727, 1, 0, 0, 0, 357, 1733, 1, 0, 0, 0, 359, 1738, 1, 0, 0, 0, 361, 1745, 1, 0, 0, 0, 363, 1750, 1, 0, 0, 0, 365, 1757, 1, 0, 0, 0, 367, 1763, 1, 0, 0, 0, 369, 1768, 1, 0, 0, 0, 371, 1773, 1, 0, 0, 0, 373, 1779, 1, 0, 0, 0, 375, 1786, 1, 0, 0, 0, 377, 1801, 1, 0, 0, 0, 379, 1803, 1, 0, 0, 0, 381, 1809, 1, 0, 0, 0, 383, 1844, 1, 0, 0, 0, 385, 1886, 1, 0, 0, 0, 387, 1964, 1, 0, 0, 0, 389, 1966, 1, 0, 0, 0, 391, 1973, 1, 0, 0, 0, 393, 1977, 1, 0, 0, 0, 395, 1984, 1, 0, 0, 0, 397, 1997, 1, 0, 0, 0, 399, 1999, 1, 0, 0, 0, 401, 2001, 1, 0, 0, 0, 403, 2003, 1, 0, 0, 0, 405, 2005, 1, 0, 0, 0, 407, 2007, 1, 0, 0, 0, 409, 2009, 1, 0, 0, 0, 411, 2011, 1, 0, 0, 0, 413, 2013, 1, 0, 0, 0, 415, 2015, 1, 0, 0, 0, 417, 2017, 1, 0, 0, 0, 419, 2019, 1, 0, 0, 0, 421, 2021, 1, 0, 0, 0, 423, 2023, 1, 0, 0, 0, 425, 2025, 1, 0, 0, 0, 427, 2027, 1, 0, 0, 0, 429, 2029, 1, 0, 0, 0, 431, 2031, 1, 0, 0, 0, 433, 2033, 1, 0, 0, 0, 435, 2035, 1, 0, 0, 0, 437, 2037, 1, 0, 0, 0, 439, 2039, 1, 0, 0, 0, 441, 2041, 1, 0, 0, 0, 443, 2043, 1, 0, 0, 0, 445, 2045, 1, 0, 0, 0, 447, 2047, 1, 0, 0, 0, 449, 2049, 1, 0, 0, 0, 451, 2051, 1, 0, 0, 0, 453, 2053, 1, 0, 0, 0, 455, 2055, 1, 0, 0, 0, 457, 2057, 1, 0, 0, 0, 459, 2060, 1, 0, 0, 0, 461, 2062, 1, 0, 0, 0, 463, 2064, 1, 0, 0, 0, 465, 2066, 1, 0, 0, 0, 467, 2068, 1, 0, 0, 0, 469, 2070, 1, 0, 0, 0, 471, 2073, 1, 0, 0, 0, 473, 2075, 1, 0, 0, 0, 475, 2077, 1, 0, 0, 0, 477, 2079, 1, 0, 0, 0, 479, 2082, 1, 0, 0, 0, 481, 2084, 1, 0, 0, 0, 483, 2087, 1, 0, 0, 0, 485, 2089, 1, 0, 0, 0, 487, 2091, 1, 0, 0, 0, 489, 2093, 1, 0, 0, 0, 491, 2095, 1, 0, 0, 0, 493, 2098, 1, 0, 0, 0, 495, 2100, 1, 0, 0, 0, 497, 2106, 1, 0, 0, 0, 499, 2108, 1, 0, 0, 0, 501, 2110, 1, 0, 0, 0, 503, 2112, 1, 0, 0, 0, 505, 2114, 1, 0, 0, 0, 507, 2116, 1, 0, 0, 0, 509, 2118, 1, 0, 0, 0, 511, 2120, 1, 0, 0, 0, 513, 2122, 1, 0, 0, 0, 515, 2124, 1, 0, 0, 0, 517, 2126, 1, 0, 0, 0, 519, 2128, 1, 0, 0, 0, 521, 2130, 1, 0, 0, 0, 523, 2144, 1, 0, 0, 0, 525, 2158, 1, 0, 0, 0, 527, 528, 3, 397, 198, 0, 528, 529, 3, 403, 201, 0, 529, 530, 3, 403, 201, 0, 530, 2, 1, 0, 0, 0, 531, 532, 3, 397, 198, 0, 532, 533, 3, 407, 203, 0, 533, 534, 3, 435, 217, 0, 534, 535, 3, 405, 202, 0, 535, 536, 3, 431, 215, 0, 536, 4, 1, 0, 0, 0, 537, 538, 3, 397, 198, 0, 538, 539, 3, 419, 209, 0, 539, 540, 3, 413, 206, 0, 540, 541, 3, 397, 198, 0, 541, 542, 3, 433, 216, 0, 542, 6, 1, 0, 0, 0, 543, 544, 3, 397, 198, 0, 544, 545, 3, 419, 209, 0, 545, 546, 3, 419, 209, 0, 546, 8, 1, 0, 0, 0, 547, 548, 3, 397, 198, 0, 548, 549, 3, 419, 209, 0, 549, 550, 3, 435, 217, 0, 550, 551, 3, 405, 202, 0, 551, 552, 3, 431, 215, 0, 552, 10, 1, 0, 0, 0, 553, 554, 3, 397, 198, 0, 554, 555, 3, 423, 211, 0, 555, 556, 3, 403, 201, 0, 556, 12, 1, 0, 0, 0, 557, 558, 3, 397, 198, 0, 558, 559, 3, 423, 211, 0, 559, 560, 3, 435, 217, 0, 560, 561, 3, 413, 206, 0, 561, 14, 1, 0, 0, 0, 562, 563, 3, 397, 198, 0, 563, 564, 3, 423, 211, 0, 564, 565, 3, 445, 222, 0, 565, 16, 1, 0, 0, 0, 566, 567, 3, 397, 198, 0, 567, 568, 3, 431, 215, 0, 568, 569, 3, 431, 215, 0, 569, 570, 3, 397, 198, 0, 570, 571, 3, 445, 222, 0, 571, 18, 1, 0, 0, 0, 572, 573, 3, 397, 198, 0, 573, 574, 3, 433, 216, 0, 574, 20, 1, 0, 0, 0, 575, 576, 3, 397, 198, 0, 576, 577, 3, 433, 216, 0, 577, 578, 3, 401, 200, 0, 578, 590, 1, 0, 0, 0, 579, 580, 3, 397, 198, 0, 580, 581, 3, 433, 216, 0, 581, 582, 3, 401, 200, 0, 582, 583, 3, 405, 202, 0, 583, 584, 3, 423, 211, 0, 584, 585, 3, 403, 201, 0, 585, 586, 3, 413, 206, 0, 586, 587, 3, 423, 211, 0, 587, 588, 3, 409, 204, 0, 588, 590, 1, 0, 0, 0, 589, 575, 1, 0, 0, 0, 589, 579, 1, 0, 0, 0, 590, 22, 1, 0, 0, 0, 591, 592, 3, 397, 198, 0, 592, 593, 3, 433, 216, 0, 593, 594, 3, 425, 212, 0, 594, 595, 3, 407, 203, 0, 595, 24, 1, 0, 0, 0, 596, 597, 3, 397, 198, 0, 597, 598, 3, 433, 216, 0, 598, 599, 3, 435, 217, 0, 599, 26, 1, 0, 0, 0, 600, 601, 3, 397, 198, 0, 601, 602, 3, 433, 216, 0, 602, 603, 3, 445, 222, 0, 603, 604, 3, 423, 211, 0, 604, 605, 3, 401, 200, 0, 605, 28, 1, 0, 0, 0, 606, 607, 3, 397, 198, 0, 607, 608, 3, 435, 217, 0, 608, 609, 3, 435, 217, 0, 609, 610, 3, 397, 198, 0, 610, 611, 3, 401, 200, 0, 611, 612, 3, 411, 205, 0, 612, 30, 1, 0, 0, 0, 613, 614, 3, 399, 199, 0, 614, 615, 3, 405, 202, 0, 615, 616, 3, 435, 217, 0, 616, 617, 3, 441, 220, 0, 617, 618, 3, 405, 202, 0, 618, 619, 3, 405, 202, 0, 619, 620, 3, 423, 211, 0, 620, 32, 1, 0, 0, 0, 621, 622, 3, 399, 199, 0, 622, 623, 3, 425, 212, 0, 623, 624, 3, 435, 217, 0, 624, 625, 3, 411, 205, 0, 625, 34, 1, 0, 0, 0, 626, 627, 3, 399, 199, 0, 627, 628, 3, 445, 222, 0, 628, 36, 1, 0, 0, 0, 629, 630, 3, 401, 200, 0, 630, 631, 3, 397, 198, 0, 631, 632, 3, 433, 216, 0, 632, 633, 3, 405, 202, 0, 633, 38, 1, 0, 0, 0, 634, 635, 3, 401, 200, 0, 635, 636, 3, 397, 198, 0, 636, 637, 3, 433, 216, 0, 637, 638, 3, 435, 217, 0, 638, 40, 1, 0, 0, 0, 639, 640, 3, 401, 200, 0, 640, 641, 3, 411, 205, 0, 641, 642, 3, 405, 202, 0, 642, 643, 3, 401, 200, 0, 643, 644, 3, 417, 208, 0, 644, 42, 1, 0, 0, 0, 645, 646, 3, 401, 200, 0, 646, 647, 3, 419, 209, 0, 647, 648, 3, 405, 202, 0, 648, 649, 3, 397, 198, 0, 649, 650, 3, 431, 215, 0, 650, 44, 1, 0, 0, 0, 651, 652, 3, 401, 200, 0, 652, 653, 3, 419, 209, 0, 653, 654, 3, 437, 218, 0, 654, 655, 3, 433, 216, 0, 655, 656, 3, 435, 217, 0, 656, 657, 3, 405, 202, 0, 657, 658, 3, 431, 215, 0, 658, 46, 1, 0, 0, 0, 659, 660, 3, 401, 200, 0, 660, 661, 3, 425, 212, 0, 661, 662, 3, 403, 201, 0, 662, 663, 3, 405, 202, 0, 663, 664, 3, 401, 200, 0, 664, 48, 1, 0, 0, 0, 665, 666, 3, 401, 200, 0, 666, 667, 3, 425, 212, 0, 667, 668, 3, 419, 209, 0, 668, 669, 3, 419, 209, 0, 669, 670, 3, 397, 198, 0, 670, 671, 3, 435, 217, 0, 671, 672, 3, 405, 202, 0, 672, 50, 1, 0, 0, 0, 673, 674, 3, 401, 200, 0, 674, 675, 3, 425, 212, 0, 675, 676, 3, 419, 209, 0, 676, 677, 3, 437, 218, 0, 677, 678, 3, 421, 210, 0, 678, 679, 3, 423, 211, 0, 679, 52, 1, 0, 0, 0, 680, 681, 3, 401, 200, 0, 681, 682, 3, 425, 212, 0, 682, 683, 3, 421, 210, 0, 683, 684, 3, 421, 210, 0, 684, 685, 3, 405, 202, 0, 685, 686, 3, 423, 211, 0, 686, 687, 3, 435, 217, 0, 687, 54, 1, 0, 0, 0, 688, 689, 3, 401, 200, 0, 689, 690, 3, 425, 212, 0, 690, 691, 3, 423, 211, 0, 691, 692, 3, 433, 216, 0, 692, 693, 3, 435, 217, 0, 693, 694, 3, 431, 215, 0, 694, 695, 3, 397, 198, 0, 695, 696, 3, 413, 206, 0, 696, 697, 3, 423, 211, 0, 697, 698, 3, 435, 217, 0, 698, 56, 1, 0, 0, 0, 699, 700, 3, 401, 200, 0, 700, 701, 3, 431, 215, 0, 701, 702, 3, 405, 202, 0, 702, 703, 3, 397, 198, 0, 703, 704, 3, 435, 217, 0, 704, 705, 3, 405, 202, 0, 705, 58, 1, 0, 0, 0, 706, 707, 3, 401, 200, 0, 707, 708, 3, 431, 215, 0, 708, 709, 3, 425, 212, 0, 709, 710, 3, 433, 216, 0, 710, 711, 3, 433, 216, 0, 711, 60, 1, 0, 0, 0, 712, 713, 3, 401, 200, 0, 713, 714, 3, 437, 218, 0, 714, 715, 3, 399, 199, 0, 715, 716, 3, 405, 202, 0, 716, 62, 1, 0, 0, 0, 717, 718, 3, 401, 200, 0, 718, 719, 3, 437, 218, 0, 719, 720, 3, 431, 215, 0, 720, 721, 3, 431, 215, 0, 721, 722, 3, 405, 202, 0, 722, 723, 3, 423, 211, 0, 723, 724, 3, 435, 217, 0, 724, 64, 1, 0, 0, 0, 725, 726, 3, 403, 201, 0, 726, 727, 3, 397, 198, 0, 727, 728, 3, 435, 217, 0, 728, 729, 3, 397, 198, 0, 729, 730, 3, 399, 199, 0, 730, 731, 3, 397, 198, 0, 731, 732, 3, 433, 216, 0, 732, 733, 3, 405, 202, 0, 733, 66, 1, 0, 0, 0, 734, 735, 3, 403, 201, 0, 735, 736, 3, 397, 198, 0, 736, 737, 3, 435, 217, 0, 737, 738, 3, 397, 198, 0, 738, 739, 3, 399, 199, 0, 739, 740, 3, 397, 198, 0, 740, 741, 3, 433, 216, 0, 741, 742, 3, 405, 202, 0, 742, 743, 3, 433, 216, 0, 743, 68, 1, 0, 0, 0, 744, 745, 3, 403, 201, 0, 745, 746, 3, 397, 198, 0, 746, 747, 3, 435, 217, 0, 747, 748, 3, 405, 202, 0, 748, 70, 1, 0, 0, 0, 749, 750, 3, 403, 201, 0, 750, 751, 3, 397, 198, 0, 751, 752, 3, 445, 222, 0, 752, 72, 1, 0, 0, 0, 753, 754, 3, 403, 201, 0, 754, 755, 3, 405, 202, 0, 755, 756, 3, 403, 201, 0, 756, 757, 3, 437, 218, 0, 757, 758, 3, 427, 213, 0, 758, 759, 3, 419, 209, 0, 759, 760, 3, 413, 206, 0, 760, 761, 3, 401, 200, 0, 761, 762, 3, 397, 198, 0, 762, 763, 3, 435, 217, 0, 763, 764, 3, 405, 202, 0, 764, 74, 1, 0, 0, 0, 765, 766, 3, 403, 201, 0, 766, 767, 3, 405, 202, 0, 767, 768, 3, 407, 203, 0, 768, 769, 3, 397, 198, 0, 769, 770, 3, 437, 218, 0, 770, 771, 3, 419, 209, 0, 771, 772, 3, 435, 217, 0, 772, 76, 1, 0, 0, 0, 773, 774, 3, 403, 201, 0, 774, 775, 3, 405, 202, 0, 775, 776, 3, 419, 209, 0, 776, 777, 3, 397, 198, 0, 777, 778, 3, 445, 222, 0, 778, 78, 1, 0, 0, 0, 779, 780, 3, 403, 201, 0, 780, 781, 3, 405, 202, 0, 781, 782, 3, 419, 209, 0, 782, 783, 3, 405, 202, 0, 783, 784, 3, 435, 217, 0, 784, 785, 3, 405, 202, 0, 785, 80, 1, 0, 0, 0, 786, 787, 3, 403, 201, 0, 787, 788, 3, 405, 202, 0, 788, 789, 3, 433, 216, 0, 789, 790, 3, 401, 200, 0, 790, 82, 1, 0, 0, 0, 791, 792, 3, 403, 201, 0, 792, 793, 3, 405, 202, 0, 793, 794, 3, 433, 216, 0, 794, 795, 3, 401, 200, 0, 795, 796, 3, 405, 202, 0, 796, 797, 3, 423, 211, 0, 797, 798, 3, 403, 201, 0, 798, 799, 3, 413, 206, 0, 799, 800, 3, 423, 211, 0, 800, 801, 3, 409, 204, 0, 801, 84, 1, 0, 0, 0, 802, 803, 3, 403, 201, 0, 803, 804, 3, 405, 202, 0, 804, 805, 3, 433, 216, 0, 805, 806, 3, 401, 200, 0, 806, 807, 3, 431, 215, 0, 807, 808, 3, 413, 206, 0, 808, 809, 3, 399, 199, 0, 809, 810, 3, 405, 202, 0, 810, 86, 1, 0, 0, 0, 811, 812, 3, 403, 201, 0, 812, 813, 3, 405, 202, 0, 813, 814, 3, 435, 217, 0, 814, 815, 3, 397, 198, 0, 815, 816, 3, 401, 200, 0, 816, 817, 3, 411, 205, 0, 817, 88, 1, 0, 0, 0, 818, 819, 3, 403, 201, 0, 819, 820, 3, 413, 206, 0, 820, 821, 3, 401, 200, 0, 821, 822, 3, 435, 217, 0, 822, 823, 3, 413, 206, 0, 823, 824, 3, 425, 212, 0, 824, 825, 3, 423, 211, 0, 825, 826, 3, 397, 198, 0, 826, 827, 3, 431, 215, 0, 827, 828, 3, 413, 206, 0, 828, 829, 3, 405, 202, 0, 829, 830, 3, 433, 216, 0, 830, 90, 1, 0, 0, 0, 831, 832, 3, 403, 201, 0, 832, 833, 3, 413, 206, 0, 833, 834, 3, 401, 200, 0, 834, 835, 3, 435, 217, 0, 835, 836, 3, 413, 206, 0, 836, 837, 3, 425, 212, 0, 837, 838, 3, 423, 211, 0, 838, 839, 3, 397, 198, 0, 839, 840, 3, 431, 215, 0, 840, 841, 3, 445, 222, 0, 841, 92, 1, 0, 0, 0, 842, 843, 3, 403, 201, 0, 843, 844, 3, 413, 206, 0, 844, 845, 3, 433, 216, 0, 845, 846, 3, 417, 208, 0, 846, 94, 1, 0, 0, 0, 847, 848, 3, 403, 201, 0, 848, 849, 3, 413, 206, 0, 849, 850, 3, 433, 216, 0, 850, 851, 3, 435, 217, 0, 851, 852, 3, 413, 206, 0, 852, 853, 3, 423, 211, 0, 853, 854, 3, 401, 200, 0, 854, 855, 3, 435, 217, 0, 855, 96, 1, 0, 0, 0, 856, 857, 3, 403, 201, 0, 857, 858, 3, 413, 206, 0, 858, 859, 3, 433, 216, 0, 859, 860, 3, 435, 217, 0, 860, 861, 3, 431, 215, 0, 861, 862, 3, 413, 206, 0, 862, 863, 3, 399, 199, 0, 863, 864, 3, 437, 218, 0, 864, 865, 3, 435, 217, 0, 865, 866, 3, 405, 202, 0, 866, 867, 3, 403, 201, 0, 867, 98, 1, 0, 0, 0, 868, 869, 3, 403, 201, 0, 869, 870, 3, 431, 215, 0, 870, 871, 3, 425, 212, 0, 871, 872, 3, 427, 213, 0, 872, 100, 1, 0, 0, 0, 873, 874, 3, 405, 202, 0, 874, 875, 3, 419, 209, 0, 875, 876, 3, 433, 216, 0, 876, 877, 3, 405, 202, 0, 877, 102, 1, 0, 0, 0, 878, 879, 3, 405, 202, 0, 879, 880, 3, 423, 211, 0, 880, 881, 3, 403, 201, 0, 881, 104, 1, 0, 0, 0, 882, 883, 3, 405, 202, 0, 883, 884, 3, 423, 211, 0, 884, 885, 3, 409, 204, 0, 885, 886, 3, 413, 206, 0, 886, 887, 3, 423, 211, 0, 887, 888, 3, 405, 202, 0, 888, 106, 1, 0, 0, 0, 889, 890, 3, 405, 202, 0, 890, 891, 3, 439, 219, 0, 891, 892, 3, 405, 202, 0, 892, 893, 3, 423, 211, 0, 893, 894, 3, 435, 217, 0, 894, 895, 3, 433, 216, 0, 895, 108, 1, 0, 0, 0, 896, 897, 3, 405, 202, 0, 897, 898, 3, 443, 221, 0, 898, 899, 3, 413, 206, 0, 899, 900, 3, 433, 216, 0, 900, 901, 3, 435, 217, 0, 901, 902, 3, 433, 216, 0, 902, 110, 1, 0, 0, 0, 903, 904, 3, 405, 202, 0, 904, 905, 3, 443, 221, 0, 905, 906, 3, 427, 213, 0, 906, 907, 3, 419, 209, 0, 907, 908, 3, 397, 198, 0, 908, 909, 3, 413, 206, 0, 909, 910, 3, 423, 211, 0, 910, 112, 1, 0, 0, 0, 911, 912, 3, 405, 202, 0, 912, 913, 3, 443, 221, 0, 913, 914, 3, 427, 213, 0, 914, 915, 3, 431, 215, 0, 915, 916, 3, 405, 202, 0, 916, 917, 3, 433, 216, 0, 917, 918, 3, 433, 216, 0, 918, 919, 3, 413, 206, 0, 919, 920, 3, 425, 212, 0, 920, 921, 3, 423, 211, 0, 921, 114, 1, 0, 0, 0, 922, 923, 3, 405, 202, 0, 923, 924, 3, 443, 221, 0, 924, 925, 3, 435, 217, 0, 925, 926, 3, 431, 215, 0, 926, 927, 3, 397, 198, 0, 927, 928, 3, 401, 200, 0, 928, 929, 3, 435, 217, 0, 929, 116, 1, 0, 0, 0, 930, 931, 3, 407, 203, 0, 931, 932, 3, 405, 202, 0, 932, 933, 3, 435, 217, 0, 933, 934, 3, 401, 200, 0, 934, 935, 3, 411, 205, 0, 935, 936, 3, 405, 202, 0, 936, 937, 3, 433, 216, 0, 937, 118, 1, 0, 0, 0, 938, 939, 3, 407, 203, 0, 939, 940, 3, 413, 206, 0, 940, 941, 3, 423, 211, 0, 941, 942, 3, 397, 198, 0, 942, 943, 3, 419, 209, 0, 943, 120, 1, 0, 0, 0, 944, 945, 3, 407, 203, 0, 945, 946, 3, 413, 206, 0, 946, 947, 3, 431, 215, 0, 947, 948, 3, 433, 216, 0, 948, 949, 3, 435, 217, 0, 949, 122, 1, 0, 0, 0, 950, 951, 3, 407, 203, 0, 951, 952, 3, 419, 209, 0, 952, 953, 3, 437, 218, 0, 953, 954, 3, 433, 216, 0, 954, 955, 3, 411, 205, 0, 955, 124, 1, 0, 0, 0, 956, 957, 3, 407, 203, 0, 957, 958, 3, 425, 212, 0, 958, 959, 3, 419, 209, 0, 959, 960, 3, 419, 209, 0, 960, 961, 3, 425, 212, 0, 961, 962, 3, 441, 220, 0, 962, 963, 3, 413, 206, 0, 963, 964, 3, 423, 211, 0, 964, 965, 3, 409, 204, 0, 965, 126, 1, 0, 0, 0, 966, 967, 3, 407, 203, 0, 967, 968, 3, 425, 212, 0, 968, 969, 3, 431, 215, 0, 969, 128, 1, 0, 0, 0, 970, 971, 3, 407, 203, 0, 971, 972, 3, 425, 212, 0, 972, 973, 3, 431, 215, 0, 973, 974, 3, 421, 210, 0, 974, 975, 3, 397, 198, 0, 975, 976, 3, 435, 217, 0, 976, 130, 1, 0, 0, 0, 977, 978, 3, 407, 203, 0, 978, 979, 3, 431, 215, 0, 979, 980, 3, 405, 202, 0, 980, 981, 3, 405, 202, 0, 981, 982, 3, 447, 223, 0, 982, 983, 3, 405, 202, 0, 983, 132, 1, 0, 0, 0, 984, 985, 3, 407, 203, 0, 985, 986, 3, 431, 215, 0, 986, 987, 3, 425, 212, 0, 987, 988, 3, 421, 210, 0, 988, 134, 1, 0, 0, 0, 989, 990, 3, 407, 203, 0, 990, 991, 3, 437, 218, 0, 991, 992, 3, 419, 209, 0, 992, 993, 3, 419, 209, 0, 993, 136, 1, 0, 0, 0, 994, 995, 3, 407, 203, 0, 995, 996, 3, 437, 218, 0, 996, 997, 3, 423, 211, 0, 997, 998, 3, 401, 200, 0, 998, 999, 3, 435, 217, 0, 999, 1000, 3, 413, 206, 0, 1000, 1001, 3, 425, 212, 0, 1001, 1002, 3, 423, 211, 0, 1002, 138, 1, 0, 0, 0, 1003, 1004, 3, 409, 204, 0, 1004, 1005, 3, 419, 209, 0, 1005, 1006, 3, 425, 212, 0, 1006, 1007, 3, 399, 199, 0, 1007, 1008, 3, 397, 198, 0, 1008, 1009, 3, 419, 209, 0, 1009, 140, 1, 0, 0, 0, 1010, 1011, 3, 409, 204, 0, 1011, 1012, 3, 431, 215, 0, 1012, 1013, 3, 397, 198, 0, 1013, 1014, 3, 423, 211, 0, 1014, 1015, 3, 437, 218, 0, 1015, 1016, 3, 419, 209, 0, 1016, 1017, 3, 397, 198, 0, 1017, 1018, 3, 431, 215, 0, 1018, 1019, 3, 413, 206, 0, 1019, 1020, 3, 435, 217, 0, 1020, 1021, 3, 445, 222, 0, 1021, 142, 1, 0, 0, 0, 1022, 1023, 3, 409, 204, 0, 1023, 1024, 3, 431, 215, 0, 1024, 1025, 3, 425, 212, 0, 1025, 1026, 3, 437, 218, 0, 1026, 1027, 3, 427, 213, 0, 1027, 144, 1, 0, 0, 0, 1028, 1029, 3, 411, 205, 0, 1029, 1030, 3, 397, 198, 0, 1030, 1031, 3, 439, 219, 0, 1031, 1032, 3, 413, 206, 0, 1032, 1033, 3, 423, 211, 0, 1033, 1034, 3, 409, 204, 0, 1034, 146, 1, 0, 0, 0, 1035, 1036, 3, 411, 205, 0, 1036, 1037, 3, 413, 206, 0, 1037, 1038, 3, 405, 202, 0, 1038, 1039, 3, 431, 215, 0, 1039, 1040, 3, 397, 198, 0, 1040, 1041, 3, 431, 215, 0, 1041, 1042, 3, 401, 200, 0, 1042, 1043, 3, 411, 205, 0, 1043, 1044, 3, 413, 206, 0, 1044, 1045, 3, 401, 200, 0, 1045, 1046, 3, 397, 198, 0, 1046, 1047, 3, 419, 209, 0, 1047, 148, 1, 0, 0, 0, 1048, 1049, 3, 411, 205, 0, 1049, 1050, 3, 425, 212, 0, 1050, 1051, 3, 437, 218, 0, 1051, 1052, 3, 431, 215, 0, 1052, 150, 1, 0, 0, 0, 1053, 1054, 3, 413, 206, 0, 1054, 1055, 3, 403, 201, 0, 1055, 152, 1, 0, 0, 0, 1056, 1057, 3, 413, 206, 0, 1057, 1058, 3, 407, 203, 0, 1058, 154, 1, 0, 0, 0, 1059, 1060, 3, 413, 206, 0, 1060, 1061, 3, 419, 209, 0, 1061, 1062, 3, 413, 206, 0, 1062, 1063, 3, 417, 208, 0, 1063, 1064, 3, 405, 202, 0, 1064, 156, 1, 0, 0, 0, 1065, 1066, 3, 413, 206, 0, 1066, 1067, 3, 423, 211, 0, 1067, 158, 1, 0, 0, 0, 1068, 1069, 3, 413, 206, 0, 1069, 1070, 3, 423, 211, 0, 1070, 1071, 3, 403, 201, 0, 1071, 1072, 3, 405, 202, 0, 1072, 1073, 3, 443, 221, 0, 1073, 160, 1, 0, 0, 0, 1074, 1075, 3, 413, 206, 0, 1075, 1076, 3, 423, 211, 0, 1076, 1077, 3, 407, 203, 0, 1077, 1088, 1, 0, 0, 0, 1078, 1079, 3, 413, 206, 0, 1079, 1080, 3, 423, 211, 0, 1080, 1081, 3, 407, 203, 0, 1081, 1082, 3, 413, 206, 0, 1082, 1083, 3, 423, 211, 0, 1083, 1084, 3, 413, 206, 0, 1084, 1085, 3, 435, 217, 0, 1085, 1086, 3, 445, 222, 0, 1086, 1088, 1, 0, 0, 0, 1087, 1074, 1, 0, 0, 0, 1087, 1078, 1, 0, 0, 0, 1088, 162, 1, 0, 0, 0, 1089, 1090, 3, 413, 206, 0, 1090, 1091, 3, 423, 211, 0, 1091, 1092, 3, 415, 207, 0, 1092, 1093, 3, 405, 202, 0, 1093, 1094, 3, 401, 200, 0, 1094, 1095, 3, 435, 217, 0, 1095, 1096, 3, 413, 206, 0, 1096, 1097, 3, 439, 219, 0, 1097, 1098, 3, 405, 202, 0, 1098, 164, 1, 0, 0, 0, 1099, 1100, 3, 413, 206, 0, 1100, 1101, 3, 423, 211, 0, 1101, 1102, 3, 423, 211, 0, 1102, 1103, 3, 405, 202, 0, 1103, 1104, 3, 431, 215, 0, 1104, 166, 1, 0, 0, 0, 1105, 1106, 3, 413, 206, 0, 1106, 1107, 3, 423, 211, 0, 1107, 1108, 3, 433, 216, 0, 1108, 1109, 3, 405, 202, 0, 1109, 1110, 3, 431, 215, 0, 1110, 1111, 3, 435, 217, 0, 1111, 168, 1, 0, 0, 0, 1112, 1113, 3, 413, 206, 0, 1113, 1114, 3, 423, 211, 0, 1114, 1115, 3, 435, 217, 0, 1115, 1116, 3, 405, 202, 0, 1116, 1117, 3, 431, 215, 0, 1117, 1118, 3, 439, 219, 0, 1118, 1119, 3, 397, 198, 0, 1119, 1120, 3, 419, 209, 0, 1120, 170, 1, 0, 0, 0, 1121, 1122, 3, 413, 206, 0, 1122, 1123, 3, 423, 211, 0, 1123, 1124, 3, 435, 217, 0, 1124, 1125, 3, 425, 212, 0, 1125, 172, 1, 0, 0, 0, 1126, 1127, 3, 413, 206, 0, 1127, 1128, 3, 433, 216, 0, 1128, 174, 1, 0, 0, 0, 1129, 1130, 3, 413, 206, 0, 1130, 1131, 3, 433, 216, 0, 1131, 1132, 3, 519, 259, 0, 1132, 1133, 3, 425, 212, 0, 1133, 1134, 3, 399, 199, 0, 1134, 1135, 3, 415, 207, 0, 1135, 1136, 3, 405, 202, 0, 1136, 1137, 3, 401, 200, 0, 1137, 1138, 3, 435, 217, 0, 1138, 1139, 3, 519, 259, 0, 1139, 1140, 3, 413, 206, 0, 1140, 1141, 3, 403, 201, 0, 1141, 176, 1, 0, 0, 0, 1142, 1143, 3, 415, 207, 0, 1143, 1144, 3, 425, 212, 0, 1144, 1145, 3, 413, 206, 0, 1145, 1146, 3, 423, 211, 0, 1146, 178, 1, 0, 0, 0, 1147, 1148, 3, 417, 208, 0, 1148, 1149, 3, 405, 202, 0, 1149, 1150, 3, 445, 222, 0, 1150, 180, 1, 0, 0, 0, 1151, 1152, 3, 417, 208, 0, 1152, 1153, 3, 413, 206, 0, 1153, 1154, 3, 419, 209, 0, 1154, 1155, 3, 419, 209, 0, 1155, 182, 1, 0, 0, 0, 1156, 1157, 3, 419, 209, 0, 1157, 1158, 3, 397, 198, 0, 1158, 1159, 3, 433, 216, 0, 1159, 1160, 3, 435, 217, 0, 1160, 184, 1, 0, 0, 0, 1161, 1162, 3, 419, 209, 0, 1162, 1163, 3, 397, 198, 0, 1163, 1164, 3, 445, 222, 0, 1164, 1165, 3, 425, 212, 0, 1165, 1166, 3, 437, 218, 0, 1166, 1167, 3, 435, 217, 0, 1167, 186, 1, 0, 0, 0, 1168, 1169, 3, 419, 209, 0, 1169, 1170, 3, 405, 202, 0, 1170, 1171, 3, 397, 198, 0, 1171, 1172, 3, 403, 201, 0, 1172, 1173, 3, 413, 206, 0, 1173, 1174, 3, 423, 211, 0, 1174, 1175, 3, 409, 204, 0, 1175, 188, 1, 0, 0, 0, 1176, 1177, 3, 419, 209, 0, 1177, 1178, 3, 405, 202, 0, 1178, 1179, 3, 407, 203, 0, 1179, 1180, 3, 435, 217, 0, 1180, 190, 1, 0, 0, 0, 1181, 1182, 3, 419, 209, 0, 1182, 1183, 3, 413, 206, 0, 1183, 1184, 3, 407, 203, 0, 1184, 1185, 3, 405, 202, 0, 1185, 1186, 3, 435, 217, 0, 1186, 1187, 3, 413, 206, 0, 1187, 1188, 3, 421, 210, 0, 1188, 1189, 3, 405, 202, 0, 1189, 192, 1, 0, 0, 0, 1190, 1191, 3, 419, 209, 0, 1191, 1192, 3, 413, 206, 0, 1192, 1193, 3, 417, 208, 0, 1193, 1194, 3, 405, 202, 0, 1194, 194, 1, 0, 0, 0, 1195, 1196, 3, 419, 209, 0, 1196, 1197, 3, 413, 206, 0, 1197, 1198, 3, 421, 210, 0, 1198, 1199, 3, 413, 206, 0, 1199, 1200, 3, 435, 217, 0, 1200, 196, 1, 0, 0, 0, 1201, 1202, 3, 419, 209, 0, 1202, 1203, 3, 413, 206, 0, 1203, 1204, 3, 439, 219, 0, 1204, 1205, 3, 405, 202, 0, 1205, 198, 1, 0, 0, 0, 1206, 1207, 3, 419, 209, 0, 1207, 1208, 3, 425, 212, 0, 1208, 1209, 3, 401, 200, 0, 1209, 1210, 3, 397, 198, 0, 1210, 1211, 3, 419, 209, 0, 1211, 200, 1, 0, 0, 0, 1212, 1213, 3, 419, 209, 0, 1213, 1214, 3, 425, 212, 0, 1214, 1215, 3, 409, 204, 0, 1215, 1216, 3, 433, 216, 0, 1216, 202, 1, 0, 0, 0, 1217, 1218, 3, 421, 210, 0, 1218, 1219, 3, 397, 198, 0, 1219, 1220, 3, 435, 217, 0, 1220, 1221, 3, 405, 202, 0, 1221, 1222, 3, 431, 215, 0, 1222, 1223, 3, 413, 206, 0, 1223, 1224, 3, 397, 198, 0, 1224, 1225, 3, 419, 209, 0, 1225, 1226, 3, 413, 206, 0, 1226, 1227, 3, 447, 223, 0, 1227, 1228, 3, 405, 202, 0, 1228, 204, 1, 0, 0, 0, 1229, 1230, 3, 421, 210, 0, 1230, 1231, 3, 397, 198, 0, 1231, 1232, 3, 435, 217, 0, 1232, 1233, 3, 405, 202, 0, 1233, 1234, 3, 431, 215, 0, 1234, 1235, 3, 413, 206, 0, 1235, 1236, 3, 397, 198, 0, 1236, 1237, 3, 419, 209, 0, 1237, 1238, 3, 413, 206, 0, 1238, 1239, 3, 447, 223, 0, 1239, 1240, 3, 405, 202, 0, 1240, 1241, 3, 403, 201, 0, 1241, 206, 1, 0, 0, 0, 1242, 1243, 3, 421, 210, 0, 1243, 1244, 3, 397, 198, 0, 1244, 1245, 3, 443, 221, 0, 1245, 208, 1, 0, 0, 0, 1246, 1247, 3, 421, 210, 0, 1247, 1248, 3, 405, 202, 0, 1248, 1249, 3, 431, 215, 0, 1249, 1250, 3, 409, 204, 0, 1250, 1251, 3, 405, 202, 0, 1251, 1252, 3, 433, 216, 0, 1252, 210, 1, 0, 0, 0, 1253, 1254, 3, 421, 210, 0, 1254, 1255, 3, 413, 206, 0, 1255, 1256, 3, 423, 211, 0, 1256, 212, 1, 0, 0, 0, 1257, 1258, 3, 421, 210, 0, 1258, 1259, 3, 413, 206, 0, 1259, 1260, 3, 423, 211, 0, 1260, 1261, 3, 437, 218, 0, 1261, 1262, 3, 435, 217, 0, 1262, 1263, 3, 405, 202, 0, 1263, 214, 1, 0, 0, 0, 1264, 1265, 3, 421, 210, 0, 1265, 1266, 3, 425, 212, 0, 1266, 1267, 3, 403, 201, 0, 1267, 1268, 3, 413, 206, 0, 1268, 1269, 3, 407, 203, 0, 1269, 1270, 3, 445, 222, 0, 1270, 216, 1, 0, 0, 0, 1271, 1272, 3, 421, 210, 0, 1272, 1273, 3, 425, 212, 0, 1273, 1274, 3, 423, 211, 0, 1274, 1275, 3, 435, 217, 0, 1275, 1276, 3, 411, 205, 0, 1276, 218, 1, 0, 0, 0, 1277, 1278, 3, 421, 210, 0, 1278, 1279, 3, 425, 212, 0, 1279, 1280, 3, 439, 219, 0, 1280, 1281, 3, 405, 202, 0, 1281, 220, 1, 0, 0, 0, 1282, 1283, 3, 421, 210, 0, 1283, 1284, 3, 437, 218, 0, 1284, 1285, 3, 435, 217, 0, 1285, 1286, 3, 397, 198, 0, 1286, 1287, 3, 435, 217, 0, 1287, 1288, 3, 413, 206, 0, 1288, 1289, 3, 425, 212, 0, 1289, 1290, 3, 423, 211, 0, 1290, 222, 1, 0, 0, 0, 1291, 1292, 3, 423, 211, 0, 1292, 1293, 3, 397, 198, 0, 1293, 1294, 3, 423, 211, 0, 1294, 224, 1, 0, 0, 0, 1295, 1296, 3, 423, 211, 0, 1296, 1297, 3, 425, 212, 0, 1297, 226, 1, 0, 0, 0, 1298, 1299, 3, 423, 211, 0, 1299, 1300, 3, 425, 212, 0, 1300, 1301, 3, 435, 217, 0, 1301, 228, 1, 0, 0, 0, 1302, 1303, 3, 423, 211, 0, 1303, 1304, 3, 437, 218, 0, 1304, 1305, 3, 419, 209, 0, 1305, 1306, 3, 419, 209, 0, 1306, 230, 1, 0, 0, 0, 1307, 1308, 3, 423, 211, 0, 1308, 1309, 3, 437, 218, 0, 1309, 1310, 3, 419, 209, 0, 1310, 1311, 3, 419, 209, 0, 1311, 1312, 3, 433, 216, 0, 1312, 232, 1, 0, 0, 0, 1313, 1314, 3, 425, 212, 0, 1314, 1315, 3, 407, 203, 0, 1315, 1316, 3, 407, 203, 0, 1316, 1317, 3, 433, 216, 0, 1317, 1318, 3, 405, 202, 0, 1318, 1319, 3, 435, 217, 0, 1319, 234, 1, 0, 0, 0, 1320, 1321, 3, 425, 212, 0, 1321, 1322, 3, 423, 211, 0, 1322, 236, 1, 0, 0, 0, 1323, 1324, 3, 425, 212, 0, 1324, 1325, 3, 427, 213, 0, 1325, 1326, 3, 435, 217, 0, 1326, 1327, 3, 413, 206, 0, 1327, 1328, 3, 421, 210, 0, 1328, 1329, 3, 413, 206, 0, 1329, 1330, 3, 447, 223, 0, 1330, 1331, 3, 405, 202, 0, 1331, 238, 1, 0, 0, 0, 1332, 1333, 3, 425, 212, 0, 1333, 1334, 3, 431, 215, 0, 1334, 240, 1, 0, 0, 0, 1335, 1336, 3, 425, 212, 0, 1336, 1337, 3, 431, 215, 0, 1337, 1338, 3, 403, 201, 0, 1338, 1339, 3, 405, 202, 0, 1339, 1340, 3, 431, 215, 0, 1340, 242, 1, 0, 0, 0, 1341, 1342, 3, 425, 212, 0, 1342, 1343, 3, 437, 218, 0, 1343, 1344, 3, 435, 217, 0, 1344, 1345, 3, 405, 202, 0, 1345, 1346, 3, 431, 215, 0, 1346, 244, 1, 0, 0, 0, 1347, 1348, 3, 425, 212, 0, 1348, 1349, 3, 437, 218, 0, 1349, 1350, 3, 435, 217, 0, 1350, 1351, 3, 407, 203, 0, 1351, 1352, 3, 413, 206, 0, 1352, 1353, 3, 419, 209, 0, 1353, 1354, 3, 405, 202, 0, 1354, 246, 1, 0, 0, 0, 1355, 1356, 3, 425, 212, 0, 1356, 1357, 3, 439, 219, 0, 1357, 1358, 3, 405, 202, 0, 1358, 1359, 3, 431, 215, 0, 1359, 248, 1, 0, 0, 0, 1360, 1361, 3, 427, 213, 0, 1361, 1362, 3, 397, 198, 0, 1362, 1363, 3, 431, 215, 0, 1363, 1364, 3, 435, 217, 0, 1364, 1365, 3, 413, 206, 0, 1365, 1366, 3, 435, 217, 0, 1366, 1367, 3, 413, 206, 0, 1367, 1368, 3, 425, 212, 0, 1368, 1369, 3, 423, 211, 0, 1369, 250, 1, 0, 0, 0, 1370, 1371, 3, 427, 213, 0, 1371, 1372, 3, 425, 212, 0, 1372, 1373, 3, 427, 213, 0, 1373, 1374, 3, 437, 218, 0, 1374, 1375, 3, 419, 209, 0, 1375, 1376, 3, 397, 198, 0, 1376, 1377, 3, 435, 217, 0, 1377, 1378, 3, 405, 202, 0, 1378, 252, 1, 0, 0, 0, 1379, 1380, 3, 427, 213, 0, 1380, 1381, 3, 431, 215, 0, 1381, 1382, 3, 405, 202, 0, 1382, 1383, 3, 401, 200, 0, 1383, 1384, 3, 405, 202, 0, 1384, 1385, 3, 403, 201, 0, 1385, 1386, 3, 413, 206, 0, 1386, 1387, 3, 423, 211, 0, 1387, 1388, 3, 409, 204, 0, 1388, 254, 1, 0, 0, 0, 1389, 1390, 3, 427, 213, 0, 1390, 1391, 3, 431, 215, 0, 1391, 1392, 3, 405, 202, 0, 1392, 1393, 3, 441, 220, 0, 1393, 1394, 3, 411, 205, 0, 1394, 1395, 3, 405, 202, 0, 1395, 1396, 3, 431, 215, 0, 1396, 1397, 3, 405, 202, 0, 1397, 256, 1, 0, 0, 0, 1398, 1399, 3, 427, 213, 0, 1399, 1400, 3, 431, 215, 0, 1400, 1401, 3, 413, 206, 0, 1401, 1402, 3, 421, 210, 0, 1402, 1403, 3, 397, 198, 0, 1403, 1404, 3, 431, 215, 0, 1404, 1405, 3, 445, 222, 0, 1405, 258, 1, 0, 0, 0, 1406, 1407, 3, 427, 213, 0, 1407, 1408, 3, 431, 215, 0, 1408, 1409, 3, 425, 212, 0, 1409, 1410, 3, 415, 207, 0, 1410, 1411, 3, 405, 202, 0, 1411, 1412, 3, 401, 200, 0, 1412, 1413, 3, 435, 217, 0, 1413, 1414, 3, 413, 206, 0, 1414, 1415, 3, 425, 212, 0, 1415, 1416, 3, 423, 211, 0, 1416, 260, 1, 0, 0, 0, 1417, 1418, 3, 429, 214, 0, 1418, 1419, 3, 437, 218, 0, 1419, 1420, 3, 397, 198, 0, 1420, 1421, 3, 431, 215, 0, 1421, 1422, 3, 435, 217, 0, 1422, 1423, 3, 405, 202, 0, 1423, 1424, 3, 431, 215, 0, 1424, 262, 1, 0, 0, 0, 1425, 1426, 3, 431, 215, 0, 1426, 1427, 3, 397, 198, 0, 1427, 1428, 3, 423, 211, 0, 1428, 1429, 3, 409, 204, 0, 1429, 1430, 3, 405, 202, 0, 1430, 264, 1, 0, 0, 0, 1431, 1432, 3, 431, 215, 0, 1432, 1433, 3, 405, 202, 0, 1433, 1434, 3, 419, 209, 0, 1434, 1435, 3, 425, 212, 0, 1435, 1436, 3, 397, 198, 0, 1436, 1437, 3, 403, 201, 0, 1437, 266, 1, 0, 0, 0, 1438, 1439, 3, 431, 215, 0, 1439, 1440, 3, 405, 202, 0, 1440, 1441, 3, 421, 210, 0, 1441, 1442, 3, 425, 212, 0, 1442, 1443, 3, 439, 219, 0, 1443, 1444, 3, 405, 202, 0, 1444, 268, 1, 0, 0, 0, 1445, 1446, 3, 431, 215, 0, 1446, 1447, 3, 405, 202, 0, 1447, 1448, 3, 423, 211, 0, 1448, 1449, 3, 397, 198, 0, 1449, 1450, 3, 421, 210, 0, 1450, 1451, 3, 405, 202, 0, 1451, 270, 1, 0, 0, 0, 1452, 1453, 3, 431, 215, 0, 1453, 1454, 3, 405, 202, 0, 1454, 1455, 3, 427, 213, 0, 1455, 1456, 3, 419, 209, 0, 1456, 1457, 3, 397, 198, 0, 1457, 1458, 3, 401, 200, 0, 1458, 1459, 3, 405, 202, 0, 1459, 272, 1, 0, 0, 0, 1460, 1461, 3, 431, 215, 0, 1461, 1462, 3, 405, 202, 0, 1462, 1463, 3, 427, 213, 0, 1463, 1464, 3, 419, 209, 0, 1464, 1465, 3, 413, 206, 0, 1465, 1466, 3, 401, 200, 0, 1466, 1467, 3, 397, 198, 0, 1467, 274, 1, 0, 0, 0, 1468, 1469, 3, 431, 215, 0, 1469, 1470, 3, 405, 202, 0, 1470, 1471, 3, 427, 213, 0, 1471, 1472, 3, 419, 209, 0, 1472, 1473, 3, 413, 206, 0, 1473, 1474, 3, 401, 200, 0, 1474, 1475, 3, 397, 198, 0, 1475, 1476, 3, 435, 217, 0, 1476, 1477, 3, 405, 202, 0, 1477, 1478, 3, 403, 201, 0, 1478, 276, 1, 0, 0, 0, 1479, 1480, 3, 431, 215, 0, 1480, 1481, 3, 413, 206, 0, 1481, 1482, 3, 409, 204, 0, 1482, 1483, 3, 411, 205, 0, 1483, 1484, 3, 435, 217, 0, 1484, 278, 1, 0, 0, 0, 1485, 1486, 3, 431, 215, 0, 1486, 1487, 3, 425, 212, 0, 1487, 1488, 3, 419, 209, 0, 1488, 1489, 3, 419, 209, 0, 1489, 1490, 3, 437, 218, 0, 1490, 1491, 3, 427, 213, 0, 1491, 280, 1, 0, 0, 0, 1492, 1493, 3, 431, 215, 0, 1493, 1494, 3, 425, 212, 0, 1494, 1495, 3, 441, 220, 0, 1495, 282, 1, 0, 0, 0, 1496, 1497, 3, 431, 215, 0, 1497, 1498, 3, 425, 212, 0, 1498, 1499, 3, 441, 220, 0, 1499, 1500, 3, 433, 216, 0, 1500, 284, 1, 0, 0, 0, 1501, 1502, 3, 433, 216, 0, 1502, 1503, 3, 397, 198, 0, 1503, 1504, 3, 421, 210, 0, 1504, 1505, 3, 427, 213, 0, 1505, 1506, 3, 419, 209, 0, 1506, 1507, 3, 405, 202, 0, 1507, 286, 1, 0, 0, 0, 1508, 1509, 3, 433, 216, 0, 1509, 1510, 3, 405, 202, 0, 1510, 1511, 3, 401, 200, 0, 1511, 1512, 3, 425, 212, 0, 1512, 1513, 3, 423, 211, 0, 1513, 1514, 3, 403, 201, 0, 1514, 288, 1, 0, 0, 0, 1515, 1516, 3, 433, 216, 0, 1516, 1517, 3, 405, 202, 0, 1517, 1518, 3, 419, 209, 0, 1518, 1519, 3, 405, 202, 0, 1519, 1520, 3, 401, 200, 0, 1520, 1521, 3, 435, 217, 0, 1521, 290, 1, 0, 0, 0, 1522, 1523, 3, 433, 216, 0, 1523, 1524, 3, 405, 202, 0, 1524, 1525, 3, 421, 210, 0, 1525, 1526, 3, 413, 206, 0, 1526, 292, 1, 0, 0, 0, 1527, 1528, 3, 433, 216, 0, 1528, 1529, 3, 405, 202, 0, 1529, 1530, 3, 423, 211, 0, 1530, 1531, 3, 403, 201, 0, 1531, 1532, 3, 433, 216, 0, 1532, 294, 1, 0, 0, 0, 1533, 1534, 3, 433, 216, 0, 1534, 1535, 3, 405, 202, 0, 1535, 1536, 3, 435, 217, 0, 1536, 296, 1, 0, 0, 0, 1537, 1538, 3, 433, 216, 0, 1538, 1539, 3, 405, 202, 0, 1539, 1540, 3, 435, 217, 0, 1540, 1541, 3, 435, 217, 0, 1541, 1542, 3, 413, 206, 0, 1542, 1543, 3, 423, 211, 0, 1543, 1544, 3, 409, 204, 0, 1544, 1545, 3, 433, 216, 0, 1545, 298, 1, 0, 0, 0, 1546, 1547, 3, 433, 216, 0, 1547, 1548, 3, 411, 205, 0, 1548, 1549, 3, 425, 212, 0, 1549, 1550, 3, 441, 220, 0, 1550, 300, 1, 0, 0, 0, 1551, 1552, 3, 433, 216, 0, 1552, 1553, 3, 425, 212, 0, 1553, 1554, 3, 437, 218, 0, 1554, 1555, 3, 431, 215, 0, 1555, 1556, 3, 401, 200, 0, 1556, 1557, 3, 405, 202, 0, 1557, 302, 1, 0, 0, 0, 1558, 1559, 3, 433, 216, 0, 1559, 1560, 3, 435, 217, 0, 1560, 1561, 3, 397, 198, 0, 1561, 1562, 3, 431, 215, 0, 1562, 1563, 3, 435, 217, 0, 1563, 304, 1, 0, 0, 0, 1564, 1565, 3, 433, 216, 0, 1565, 1566, 3, 435, 217, 0, 1566, 1567, 3, 425, 212, 0, 1567, 1568, 3, 427, 213, 0, 1568, 306, 1, 0, 0, 0, 1569, 1570, 3, 433, 216, 0, 1570, 1571, 3, 437, 218, 0, 1571, 1572, 3, 399, 199, 0, 1572, 1573, 3, 433, 216, 0, 1573, 1574, 3, 435, 217, 0, 1574, 1575, 3, 431, 215, 0, 1575, 1576, 3, 413, 206, 0, 1576, 1577, 3, 423, 211, 0, 1577, 1578, 3, 409, 204, 0, 1578, 308, 1, 0, 0, 0, 1579, 1580, 3, 433, 216, 0, 1580, 1581, 3, 445, 222, 0, 1581, 1582, 3, 423, 211, 0, 1582, 1583, 3, 401, 200, 0, 1583, 310, 1, 0, 0, 0, 1584, 1585, 3, 433, 216, 0, 1585, 1586, 3, 445, 222, 0, 1586, 1587, 3, 423, 211, 0, 1587, 1588, 3, 435, 217, 0, 1588, 1589, 3, 397, 198, 0, 1589, 1590, 3, 443, 221, 0, 1590, 312, 1, 0, 0, 0, 1591, 1592, 3, 433, 216, 0, 1592, 1593, 3, 445, 222, 0, 1593, 1594, 3, 433, 216, 0, 1594, 1595, 3, 435, 217, 0, 1595, 1596, 3, 405, 202, 0, 1596, 1597, 3, 421, 210, 0, 1597, 314, 1, 0, 0, 0, 1598, 1599, 3, 435, 217, 0, 1599, 1600, 3, 397, 198, 0, 1600, 1601, 3, 399, 199, 0, 1601, 1602, 3, 419, 209, 0, 1602, 1603, 3, 405, 202, 0, 1603, 316, 1, 0, 0, 0, 1604, 1605, 3, 435, 217, 0, 1605, 1606, 3, 397, 198, 0, 1606, 1607, 3, 399, 199, 0, 1607, 1608, 3, 419, 209, 0, 1608, 1609, 3, 405, 202, 0, 1609, 1610, 3, 433, 216, 0, 1610, 318, 1, 0, 0, 0, 1611, 1612, 3, 435, 217, 0, 1612, 1613, 3, 405, 202, 0, 1613, 1614, 3, 421, 210, 0, 1614, 1615, 3, 427, 213, 0, 1615, 1616, 3, 425, 212, 0, 1616, 1617, 3, 431, 215, 0, 1617, 1618, 3, 397, 198, 0, 1618, 1619, 3, 431, 215, 0, 1619, 1620, 3, 445, 222, 0, 1620, 320, 1, 0, 0, 0, 1621, 1622, 3, 435, 217, 0, 1622, 1623, 3, 405, 202, 0, 1623, 1624, 3, 433, 216, 0, 1624, 1625, 3, 435, 217, 0, 1625, 322, 1, 0, 0, 0, 1626, 1627, 3, 435, 217, 0, 1627, 1628, 3, 411, 205, 0, 1628, 1629, 3, 405, 202, 0, 1629, 1630, 3, 423, 211, 0, 1630, 324, 1, 0, 0, 0, 1631, 1632, 3, 435, 217, 0, 1632, 1633, 3, 413, 206, 0, 1633, 1634, 3, 405, 202, 0, 1634, 1635, 3, 433, 216, 0, 1635, 326, 1, 0, 0, 0, 1636, 1637, 3, 435, 217, 0, 1637, 1638, 3, 413, 206, 0, 1638, 1639, 3, 421, 210, 0, 1639, 1640, 3, 405, 202, 0, 1640, 1641, 3, 425, 212, 0, 1641, 1642, 3, 437, 218, 0, 1642, 1643, 3, 435, 217, 0, 1643, 328, 1, 0, 0, 0, 1644, 1645, 3, 435, 217, 0, 1645, 1646, 3, 413, 206, 0, 1646, 1647, 3, 421, 210, 0, 1647, 1648, 3, 405, 202, 0, 1648, 1649, 3, 433, 216, 0, 1649, 1650, 3, 435, 217, 0, 1650, 1651, 3, 397, 198, 0, 1651, 1652, 3, 421, 210, 0, 1652, 1653, 3, 427, 213, 0, 1653, 330, 1, 0, 0, 0, 1654, 1655, 3, 435, 217, 0, 1655, 1656, 3, 425, 212, 0, 1656, 332, 1, 0, 0, 0, 1657, 1658, 3, 435, 217, 0, 1658, 1659, 3, 425, 212, 0, 1659, 1660, 3, 427, 213, 0, 1660, 334, 1, 0, 0, 0, 1661, 1662, 3, 435, 217, 0, 1662, 1663, 3, 425, 212, 0, 1663, 1664, 3, 435, 217, 0, 1664, 1665, 3, 397, 198, 0, 1665, 1666, 3, 419, 209, 0, 1666, 1667, 3, 433, 216, 0, 1667, 336, 1, 0, 0, 0, 1668, 1669, 3, 435, 217, 0, 1669, 1670, 3, 431, 215, 0, 1670, 1671, 3, 397, 198, 0, 1671, 1672, 3, 413, 206, 0, 1672, 1673, 3, 419, 209, 0, 1673, 1674, 3, 413, 206, 0, 1674, 1675, 3, 423, 211, 0, 1675, 1676, 3, 409, 204, 0, 1676, 338, 1, 0, 0, 0, 1677, 1678, 3, 435, 217, 0, 1678, 1679, 3, 431, 215, 0, 1679, 1680, 3, 413, 206, 0, 1680, 1681, 3, 421, 210, 0, 1681, 340, 1, 0, 0, 0, 1682, 1683, 3, 435, 217, 0, 1683, 1684, 3, 431, 215, 0, 1684, 1685, 3, 437, 218, 0, 1685, 1686, 3, 423, 211, 0, 1686, 1687, 3, 401, 200, 0, 1687, 1688, 3, 397, 198, 0, 1688, 1689, 3, 435, 217, 0, 1689, 1690, 3, 405, 202, 0, 1690, 342, 1, 0, 0, 0, 1691, 1692, 3, 435, 217, 0, 1692, 1693, 3, 435, 217, 0, 1693, 1694, 3, 419, 209, 0, 1694, 344, 1, 0, 0, 0, 1695, 1696, 3, 435, 217, 0, 1696, 1697, 3, 445, 222, 0, 1697, 1698, 3, 427, 213, 0, 1698, 1699, 3, 405, 202, 0, 1699, 346, 1, 0, 0, 0, 1700, 1701, 3, 437, 218, 0, 1701, 1702, 3, 423, 211, 0, 1702, 1703, 3, 399, 199, 0, 1703, 1704, 3, 425, 212, 0, 1704, 1705, 3, 437, 218, 0, 1705, 1706, 3, 423, 211, 0, 1706, 1707, 3, 403, 201, 0, 1707, 1708, 3, 405, 202, 0, 1708, 1709, 3, 403, 201, 0, 1709, 348, 1, 0, 0, 0, 1710, 1711, 3, 437, 218, 0, 1711, 1712, 3, 423, 211, 0, 1712, 1713, 3, 413, 206, 0, 1713, 1714, 3, 425, 212, 0, 1714, 1715, 3, 423, 211, 0, 1715, 350, 1, 0, 0, 0, 1716, 1717, 3, 437, 218, 0, 1717, 1718, 3, 427, 213, 0, 1718, 1719, 3, 403, 201, 0, 1719, 1720, 3, 397, 198, 0, 1720, 1721, 3, 435, 217, 0, 1721, 1722, 3, 405, 202, 0, 1722, 352, 1, 0, 0, 0, 1723, 1724, 3, 437, 218, 0, 1724, 1725, 3, 433, 216, 0, 1725, 1726, 3, 405, 202, 0, 1726, 354, 1, 0, 0, 0, 1727, 1728, 3, 437, 218, 0, 1728, 1729, 3, 433, 216, 0, 1729, 1730, 3, 413, 206, 0, 1730, 1731, 3, 423, 211, 0, 1731, 1732, 3, 409, 204, 0, 1732, 356, 1, 0, 0, 0, 1733, 1734, 3, 437, 218, 0, 1734, 1735, 3, 437, 218, 0, 1735, 1736, 3, 413, 206, 0, 1736, 1737, 3, 403, 201, 0, 1737, 358, 1, 0, 0, 0, 1738, 1739, 3, 439, 219, 0, 1739, 1740, 3, 397, 198, 0, 1740, 1741, 3, 419, 209, 0, 1741, 1742, 3, 437, 218, 0, 1742, 1743, 3, 405, 202, 0, 1743, 1744, 3, 433, 216, 0, 1744, 360, 1, 0, 0, 0, 1745, 1746, 3, 439, 219, 0, 1746, 1747, 3, 413, 206, 0, 1747, 1748, 3, 405, 202, 0, 1748, 1749, 3, 441, 220, 0, 1749, 362, 1, 0, 0, 0, 1750, 1751, 3, 439, 219, 0, 1751, 1752, 3, 425, 212, 0, 1752, 1753, 3, 419, 209, 0, 1753, 1754, 3, 437, 218, 0, 1754, 1755, 3, 421, 210, 0, 1755, 1756, 3, 405, 202, 0, 1756, 364, 1, 0, 0, 0, 1757, 1758, 3, 441, 220, 0, 1758, 1759, 3, 397, 198, 0, 1759, 1760, 3, 435, 217, 0, 1760, 1761, 3, 401, 200, 0, 1761, 1762, 3, 411, 205, 0, 1762, 366, 1, 0, 0, 0, 1763, 1764, 3, 441, 220, 0, 1764, 1765, 3, 405, 202, 0, 1765, 1766, 3, 405, 202, 0, 1766, 1767, 3, 417, 208, 0, 1767, 368, 1, 0, 0, 0, 1768, 1769, 3, 441, 220, 0, 1769, 1770, 3, 411, 205, 0, 1770, 1771, 3, 405, 202, 0, 1771, 1772, 3, 423, 211, 0, 1772, 370, 1, 0, 0, 0, 1773, 1774, 3, 441, 220, 0, 1774, 1775, 3, 411, 205, 0, 1775, 1776, 3, 405, 202, 0, 1776, 1777, 3, 431, 215, 0, 1777, 1778, 3, 405, 202, 0, 1778, 372, 1, 0, 0, 0, 1779, 1780, 3, 441, 220, 0, 1780, 1781, 3, 413, 206, 0, 1781, 1782, 3, 423, 211, 0, 1782, 1783, 3, 403, 201, 0, 1783, 1784, 3, 425, 212, 0, 1784, 1785, 3, 441, 220, 0, 1785, 374, 1, 0, 0, 0, 1786, 1787, 3, 441, 220, 0, 1787, 1788, 3, 413, 206, 0, 1788, 1789, 3, 435, 217, 0, 1789, 1790, 3, 411, 205, 0, 1790, 376, 1, 0, 0, 0, 1791, 1792, 3, 445, 222, 0, 1792, 1793, 3, 405, 202, 0, 1793, 1794, 3, 397, 198, 0, 1794, 1795, 3, 431, 215, 0, 1795, 1802, 1, 0, 0, 0, 1796, 1797, 3, 445, 222, 0, 1797, 1798, 3, 445, 222, 0, 1798, 1799, 3, 445, 222, 0, 1799, 1800, 3, 445, 222, 0, 1800, 1802, 1, 0, 0, 0, 1801, 1791, 1, 0, 0, 0, 1801, 1796, 1, 0, 0, 0, 1802, 378, 1, 0, 0, 0, 1803, 1804, 5, 102, 0, 0, 1804, 1805, 5, 97, 0, 0, 1805, 1806, 5, 108, 0, 0, 1806, 1807, 5, 115, 0, 0, 1807, 1808, 5, 101, 0, 0, 1808, 380, 1, 0, 0, 0, 1809, 1810, 5, 116, 0, 0, 1810, 1811, 5, 114, 0, 0, 1811, 1812, 5, 117, 0, 0, 1812, 1813, 5, 101, 0, 0, 1813, 382, 1, 0, 0, 0, 1814, 1815, 3, 463, 231, 0, 1815, 1816, 3, 399, 199, 0, 1816, 1845, 1, 0, 0, 0, 1817, 1818, 3, 463, 231, 0, 1818, 1819, 3, 407, 203, 0, 1819, 1845, 1, 0, 0, 0, 1820, 1821, 3, 463, 231, 0, 1821, 1822, 3, 431, 215, 0, 1822, 1845, 1, 0, 0, 0, 1823, 1824, 3, 463, 231, 0, 1824, 1825, 3, 423, 211, 0, 1825, 1845, 1, 0, 0, 0, 1826, 1827, 3, 463, 231, 0, 1827, 1828, 3, 435, 217, 0, 1828, 1845, 1, 0, 0, 0, 1829, 1830, 3, 463, 231, 0, 1830, 1831, 5, 48, 0, 0, 1831, 1845, 1, 0, 0, 0, 1832, 1833, 3, 463, 231, 0, 1833, 1834, 3, 397, 198, 0, 1834, 1845, 1, 0, 0, 0, 1835, 1836, 3, 463, 231, 0, 1836, 1837, 3, 439, 219, 0, 1837, 1845, 1, 0, 0, 0, 1838, 1839, 3, 463, 231, 0, 1839, 1840, 3, 463, 231, 0, 1840, 1845, 1, 0, 0, 0, 1841, 1842, 3, 463, 231, 0, 1842, 1843, 3, 507, 253, 0, 1843, 1845, 1, 0, 0, 0, 1844, 1814, 1, 0, 0, 0, 1844, 1817, 1, 0, 0, 0, 1844, 1820, 1, 0, 0, 0, 1844, 1823, 1, 0, 0, 0, 1844, 1826, 1, 0, 0, 0, 1844, 1829, 1, 0, 0, 0, 1844, 1832, 1, 0, 0, 0, 1844, 1835, 1, 0, 0, 0, 1844, 1838, 1, 0, 0, 0, 1844, 1841, 1, 0, 0, 0, 1845, 384, 1, 0, 0, 0, 1846, 1850, 3, 449, 224, 0, 1847, 1850, 3, 519, 259, 0, 1848, 1850, 3, 473, 236, 0, 1849, 1846, 1, 0, 0, 0, 1849, 1847, 1, 0, 0, 0, 1849, 1848, 1, 0, 0, 0, 1850, 1857, 1, 0, 0, 0, 1851, 1856, 3, 449, 224, 0, 1852, 1856, 3, 519, 259, 0, 1853, 1856, 3, 453, 226, 0, 1854, 1856, 3, 473, 236, 0, 1855, 1851, 1, 0, 0, 0, 1855, 1852, 1, 0, 0, 0, 1855, 1853, 1, 0, 0, 0, 1855, 1854, 1, 0, 0, 0, 1856, 1859, 1, 0, 0, 0, 1857, 1855, 1, 0, 0, 0, 1857, 1858, 1, 0, 0, 0, 1858, 1887, 1, 0, 0, 0, 1859, 1857, 1, 0, 0, 0, 1860, 1868, 3, 461, 230, 0, 1861, 1867, 8, 0, 0, 0, 1862, 1867, 3, 383, 191, 0, 1863, 1864, 3, 461, 230, 0, 1864, 1865, 3, 461, 230, 0, 1865, 1867, 1, 0, 0, 0, 1866, 1861, 1, 0, 0, 0, 1866, 1862, 1, 0, 0, 0, 1866, 1863, 1, 0, 0, 0, 1867, 1870, 1, 0, 0, 0, 1868, 1866, 1, 0, 0, 0, 1868, 1869, 1, 0, 0, 0, 1869, 1871, 1, 0, 0, 0, 1870, 1868, 1, 0, 0, 0, 1871, 1872, 3, 461, 230, 0, 1872, 1887, 1, 0, 0, 0, 1873, 1881, 3, 505, 252, 0, 1874, 1880, 8, 1, 0, 0, 1875, 1880, 3, 383, 191, 0, 1876, 1877, 3, 505, 252, 0, 1877, 1878, 3, 505, 252, 0, 1878, 1880, 1, 0, 0, 0, 1879, 1874, 1, 0, 0, 0, 1879, 1875, 1, 0, 0, 0, 1879, 1876, 1, 0, 0, 0, 1880, 1883, 1, 0, 0, 0, 1881, 1879, 1, 0, 0, 0, 1881, 1882, 1, 0, 0, 0, 1882, 1884, 1, 0, 0, 0, 1883, 1881, 1, 0, 0, 0, 1884, 1885, 3, 505, 252, 0, 1885, 1887, 1, 0, 0, 0, 1886, 1849, 1, 0, 0, 0, 1886, 1860, 1, 0, 0, 0, 1886, 1873, 1, 0, 0, 0, 1887, 386, 1, 0, 0, 0, 1888, 1889, 3, 393, 196, 0, 1889, 1893, 3, 475, 237, 0, 1890, 1892, 3, 455, 227, 0, 1891, 1890, 1, 0, 0, 0, 1892, 1895, 1, 0, 0, 0, 1893, 1891, 1, 0, 0, 0, 1893, 1894, 1, 0, 0, 0, 1894, 1898, 1, 0, 0, 0, 1895, 1893, 1, 0, 0, 0, 1896, 1899, 3, 427, 213, 0, 1897, 1899, 3, 405, 202, 0, 1898, 1896, 1, 0, 0, 0, 1898, 1897, 1, 0, 0, 0, 1899, 1902, 1, 0, 0, 0, 1900, 1903, 3, 501, 250, 0, 1901, 1903, 3, 471, 235, 0, 1902, 1900, 1, 0, 0, 0, 1902, 1901, 1, 0, 0, 0, 1902, 1903, 1, 0, 0, 0, 1903, 1905, 1, 0, 0, 0, 1904, 1906, 3, 453, 226, 0, 1905, 1904, 1, 0, 0, 0, 1906, 1907, 1, 0, 0, 0, 1907, 1905, 1, 0, 0, 0, 1907, 1908, 1, 0, 0, 0, 1908, 1965, 1, 0, 0, 0, 1909, 1912, 3, 393, 196, 0, 1910, 1913, 3, 427, 213, 0, 1911, 1913, 3, 405, 202, 0, 1912, 1910, 1, 0, 0, 0, 1912, 1911, 1, 0, 0, 0, 1913, 1916, 1, 0, 0, 0, 1914, 1917, 3, 501, 250, 0, 1915, 1917, 3, 471, 235, 0, 1916, 1914, 1, 0, 0, 0, 1916, 1915, 1, 0, 0, 0, 1916, 1917, 1, 0, 0, 0, 1917, 1919, 1, 0, 0, 0, 1918, 1920, 3, 453, 226, 0, 1919, 1918, 1, 0, 0, 0, 1920, 1921, 1, 0, 0, 0, 1921, 1919, 1, 0, 0, 0, 1921, 1922, 1, 0, 0, 0, 1922, 1965, 1, 0, 0, 0, 1923, 1924, 3, 391, 195, 0, 1924, 1928, 3, 475, 237, 0, 1925, 1927, 3, 453, 226, 0, 1926, 1925, 1, 0, 0, 0, 1927, 1930, 1, 0, 0, 0, 1928, 1926, 1, 0, 0, 0, 1928, 1929, 1, 0, 0, 0, 1929, 1931, 1, 0, 0, 0, 1930, 1928, 1, 0, 0, 0, 1931, 1934, 3, 405, 202, 0, 1932, 1935, 3, 501, 250, 0, 1933, 1935, 3, 471, 235, 0, 1934, 1932, 1, 0, 0, 0, 1934, 1933, 1, 0, 0, 0, 1934, 1935, 1, 0, 0, 0, 1935, 1937, 1, 0, 0, 0, 1936, 1938, 3, 453, 226, 0, 1937, 1936, 1, 0, 0, 0, 1938, 1939, 1, 0, 0, 0, 1939, 1937, 1, 0, 0, 0, 1939, 1940, 1, 0, 0, 0, 1940, 1965, 1, 0, 0, 0, 1941, 1942, 3, 475, 237, 0, 1942, 1943, 3, 391, 195, 0, 1943, 1946, 3, 405, 202, 0, 1944, 1947, 3, 501, 250, 0, 1945, 1947, 3, 471, 235, 0, 1946, 1944, 1, 0, 0, 0, 1946, 1945, 1, 0, 0, 0, 1946, 1947, 1, 0, 0, 0, 1947, 1949, 1, 0, 0, 0, 1948, 1950, 3, 453, 226, 0, 1949, 1948, 1, 0, 0, 0, 1950, 1951, 1, 0, 0, 0, 1951, 1949, 1, 0, 0, 0, 1951, 1952, 1, 0, 0, 0, 1952, 1965, 1, 0, 0, 0, 1953, 1954, 3, 391, 195, 0, 1954, 1957, 3, 405, 202, 0, 1955, 1958, 3, 501, 250, 0, 1956, 1958, 3, 471, 235, 0, 1957, 1955, 1, 0, 0, 0, 1957, 1956, 1, 0, 0, 0, 1957, 1958, 1, 0, 0, 0, 1958, 1960, 1, 0, 0, 0, 1959, 1961, 3, 453, 226, 0, 1960, 1959, 1, 0, 0, 0, 1961, 1962, 1, 0, 0, 0, 1962, 1960, 1, 0, 0, 0, 1962, 1963, 1, 0, 0, 0, 1963, 1965, 1, 0, 0, 0, 1964, 1888, 1, 0, 0, 0, 1964, 1909, 1, 0, 0, 0, 1964, 1923, 1, 0, 0, 0, 1964, 1941, 1, 0, 0, 0, 1964, 1953, 1, 0, 0, 0, 1965, 388, 1, 0, 0, 0, 1966, 1968, 5, 48, 0, 0, 1967, 1969, 3, 451, 225, 0, 1968, 1967, 1, 0, 0, 0, 1969, 1970, 1, 0, 0, 0, 1970, 1968, 1, 0, 0, 0, 1970, 1971, 1, 0, 0, 0, 1971, 390, 1, 0, 0, 0, 1972, 1974, 3, 453, 226, 0, 1973, 1972, 1, 0, 0, 0, 1974, 1975, 1, 0, 0, 0, 1975, 1973, 1, 0, 0, 0, 1975, 1976, 1, 0, 0, 0, 1976, 392, 1, 0, 0, 0, 1977, 1978, 5, 48, 0, 0, 1978, 1980, 3, 443, 221, 0, 1979, 1981, 3, 455, 227, 0, 1980, 1979, 1, 0, 0, 0, 1981, 1982, 1, 0, 0, 0, 1982, 1980, 1, 0, 0, 0, 1982, 1983, 1, 0, 0, 0, 1983, 394, 1, 0, 0, 0, 1984, 1992, 3, 507, 253, 0, 1985, 1991, 8, 2, 0, 0, 1986, 1991, 3, 383, 191, 0, 1987, 1988, 3, 507, 253, 0, 1988, 1989, 3, 507, 253, 0, 1989, 1991, 1, 0, 0, 0, 1990, 1985, 1, 0, 0, 0, 1990, 1986, 1, 0, 0, 0, 1990, 1987, 1, 0, 0, 0, 1991, 1994, 1, 0, 0, 0, 1992, 1990, 1, 0, 0, 0, 1992, 1993, 1, 0, 0, 0, 1993, 1995, 1, 0, 0, 0, 1994, 1992, 1, 0, 0, 0, 1995, 1996, 3, 507, 253, 0, 1996, 396, 1, 0, 0, 0, 1997, 1998, 7, 3, 0, 0, 1998, 398, 1, 0, 0, 0, 1999, 2000, 7, 4, 0, 0, 2000, 400, 1, 0, 0, 0, 2001, 2002, 7, 5, 0, 0, 2002, 402, 1, 0, 0, 0, 2003, 2004, 7, 6, 0, 0, 2004, 404, 1, 0, 0, 0, 2005, 2006, 7, 7, 0, 0, 2006, 406, 1, 0, 0, 0, 2007, 2008, 7, 8, 0, 0, 2008, 408, 1, 0, 0, 0, 2009, 2010, 7, 9, 0, 0, 2010, 410, 1, 0, 0, 0, 2011, 2012, 7, 10, 0, 0, 2012, 412, 1, 0, 0, 0, 2013, 2014, 7, 11, 0, 0, 2014, 414, 1, 0, 0, 0, 2015, 2016, 7, 12, 0, 0, 2016, 416, 1, 0, 0, 0, 2017, 2018, 7, 13, 0, 0, 2018, 418, 1, 0, 0, 0, 2019, 2020, 7, 14, 0, 0, 2020, 420, 1, 0, 0, 0, 2021, 2022, 7, 15, 0, 0, 2022, 422, 1, 0, 0, 0, 2023, 2024, 7, 16, 0, 0, 2024, 424, 1, 0, 0, 0, 2025, 2026, 7, 17, 0, 0, 2026, 426, 1, 0, 0, 0, 2027, 2028, 7, 18, 0, 0, 2028, 428, 1, 0, 0, 0, 2029, 2030, 7, 19, 0, 0, 2030, 430, 1, 0, 0, 0, 2031, 2032, 7, 20, 0, 0, 2032, 432, 1, 0, 0, 0, 2033, 2034, 7, 21, 0, 0, 2034, 434, 1, 0, 0, 0, 2035, 2036, 7, 22, 0, 0, 2036, 436, 1, 0, 0, 0, 2037, 2038, 7, 23, 0, 0, 2038, 438, 1, 0, 0, 0, 2039, 2040, 7, 24, 0, 0, 2040, 440, 1, 0, 0, 0, 2041, 2042, 7, 25, 0, 0, 2042, 442, 1, 0, 0, 0, 2043, 2044, 7, 26, 0, 0, 2044, 444, 1, 0, 0, 0, 2045, 2046, 7, 27, 0, 0, 2046, 446, 1, 0, 0, 0, 2047, 2048, 7, 28, 0, 0, 2048, 448, 1, 0, 0, 0, 2049, 2050, 7, 29, 0, 0, 2050, 450, 1, 0, 0, 0, 2051, 2052, 7, 30, 0, 0, 2052, 452, 1, 0, 0, 0, 2053, 2054, 7, 31, 0, 0, 2054, 454, 1, 0, 0, 0, 2055, 2056, 7, 32, 0, 0, 2056, 456, 1, 0, 0, 0, 2057, 2058, 5, 45, 0, 0, 2058, 2059, 5, 62, 0, 0, 2059, 458, 1, 0, 0, 0, 2060, 2061, 5, 42, 0, 0, 2061, 460, 1, 0, 0, 0, 2062, 2063, 5, 96, 0, 0, 2063, 462, 1, 0, 0, 0, 2064, 2065, 5, 92, 0, 0, 2065, 464, 1, 0, 0, 0, 2066, 2067, 5, 58, 0, 0, 2067, 466, 1, 0, 0, 0, 2068, 2069, 5, 44, 0, 0, 2069, 468, 1, 0, 0, 0, 2070, 2071, 5, 124, 0, 0, 2071, 2072, 5, 124, 0, 0, 2072, 470, 1, 0, 0, 0, 2073, 2074, 5, 45, 0, 0, 2074, 472, 1, 0, 0, 0, 2075, 2076, 5, 36, 0, 0, 2076, 474, 1, 0, 0, 0, 2077, 2078, 5, 46, 0, 0, 2078, 476, 1, 0, 0, 0, 2079, 2080, 5, 61, 0, 0, 2080, 2081, 5, 61, 0, 0, 2081, 478, 1, 0, 0, 0, 2082, 2083, 5, 61, 0, 0, 2083, 480, 1, 0, 0, 0, 2084, 2085, 5, 62, 0, 0, 2085, 2086, 5, 61, 0, 0, 2086, 482, 1, 0, 0, 0, 2087, 2088, 5, 62, 0, 0, 2088, 484, 1, 0, 0, 0, 2089, 2090, 5, 35, 0, 0, 2090, 486, 1, 0, 0, 0, 2091, 2092, 5, 123, 0, 0, 2092, 488, 1, 0, 0, 0, 2093, 2094, 5, 91, 0, 0, 2094, 490, 1, 0, 0, 0, 2095, 2096, 5, 60, 0, 0, 2096, 2097, 5, 61, 0, 0, 2097, 492, 1, 0, 0, 0, 2098, 2099, 5, 40, 0, 0, 2099, 494, 1, 0, 0, 0, 2100, 2101, 5, 60, 0, 0, 2101, 496, 1, 0, 0, 0, 2102, 2103, 5, 33, 0, 0, 2103, 2107, 5, 61, 0, 0, 2104, 2105, 5, 60, 0, 0, 2105, 2107, 5, 62, 0, 0, 2106, 2102, 1, 0, 0, 0, 2106, 2104, 1, 0, 0, 0, 2107, 498, 1, 0, 0, 0, 2108, 2109, 5, 37, 0, 0, 2109, 500, 1, 0, 0, 0, 2110, 2111, 5, 43, 0, 0, 2111, 502, 1, 0, 0, 0, 2112, 2113, 5, 63, 0, 0, 2113, 504, 1, 0, 0, 0, 2114, 2115, 5, 34, 0, 0, 2115, 506, 1, 0, 0, 0, 2116, 2117, 5, 39, 0, 0, 2117, 508, 1, 0, 0, 0, 2118, 2119, 5, 125, 0, 0, 2119, 510, 1, 0, 0, 0, 2120, 2121, 5, 93, 0, 0, 2121, 512, 1, 0, 0, 0, 2122, 2123, 5, 41, 0, 0, 2123, 514, 1, 0, 0, 0, 2124, 2125, 5, 59, 0, 0, 2125, 516, 1, 0, 0, 0, 2126, 2127, 5, 47, 0, 0, 2127, 518, 1, 0, 0, 0, 2128, 2129, 5, 95, 0, 0, 2129, 520, 1, 0, 0, 0, 2130, 2131, 5, 47, 0, 0, 2131, 2132, 5, 42, 0, 0, 2132, 2136, 1, 0, 0, 0, 2133, 2135, 9, 0, 0, 0, 2134, 2133, 1, 0, 0, 0, 2135, 2138, 1, 0, 0, 0, 2136, 2137, 1, 0, 0, 0, 2136, 2134, 1, 0, 0, 0, 2137, 2139, 1, 0, 0, 0, 2138, 2136, 1, 0, 0, 0, 2139, 2140, 5, 42, 0, 0, 2140, 2141, 5, 47, 0, 0, 2141, 2142, 1, 0, 0, 0, 2142, 2143, 6, 260, 0, 0, 2143, 522, 1, 0, 0, 0, 2144, 2145, 5, 45, 0, 0, 2145, 2146, 5, 45, 0, 0, 2146, 2150, 1, 0, 0, 0, 2147, 2149, 8, 33, 0, 0, 2148, 2147, 1, 0, 0, 0, 2149, 2152, 1, 0, 0, 0, 2150, 2148, 1, 0, 0, 0, 2150, 2151, 1, 0, 0, 0, 2151, 2154, 1, 0, 0, 0, 2152, 2150, 1, 0, 0, 0, 2153, 2155, 7, 34, 0, 0, 2154, 2153, 1, 0, 0, 0, 2155, 2156, 1, 0, 0, 0, 2156, 2157, 6, 261, 0, 0, 2157, 524, 1, 0, 0, 0, 2158, 2159, 7, 35, 0, 0, 2159, 2160, 1, 0, 0, 0, 2160, 2161, 6, 262, 0, 0, 2161, 526, 1, 0, 0, 0, 37, 0, 589, 1087, 1801, 1844, 1849, 1855, 1857, 1866, 1868, 1879, 1881, 1886, 1893, 1898, 1902, 1907, 1912, 1916, 1921, 1928, 1934, 1939, 1946, 1951, 1957, 1962, 1964, 1970, 1975, 1982, 1990, 1992, 2106, 2136, 2150, 2154, 1, 6, 0, 0] \ No newline at end of file diff --git a/posthog/hogql/grammar/HogQLLexer.py b/posthog/hogql/grammar/HogQLLexer.py index 020fe0c08e238..0269376a919ae 100644 --- a/posthog/hogql/grammar/HogQLLexer.py +++ b/posthog/hogql/grammar/HogQLLexer.py @@ -10,7 +10,7 @@ def serializedATN(): return [ - 4,0,233,2164,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7, + 4,0,233,2162,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7, 5,2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12, 2,13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19, 7,19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25, @@ -167,713 +167,711 @@ def serializedATN(): 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,3,191,1845,8,191, 1,192,1,192,1,192,3,192,1850,8,192,1,192,1,192,1,192,1,192,5,192, 1856,8,192,10,192,12,192,1859,9,192,1,192,1,192,1,192,1,192,1,192, - 1,192,5,192,1867,8,192,10,192,12,192,1870,9,192,1,192,1,192,3,192, - 1874,8,192,1,193,1,193,1,193,5,193,1879,8,193,10,193,12,193,1882, - 9,193,1,193,1,193,3,193,1886,8,193,1,193,1,193,3,193,1890,8,193, - 1,193,4,193,1893,8,193,11,193,12,193,1894,1,193,1,193,1,193,3,193, - 1900,8,193,1,193,1,193,3,193,1904,8,193,1,193,4,193,1907,8,193,11, - 193,12,193,1908,1,193,1,193,1,193,5,193,1914,8,193,10,193,12,193, - 1917,9,193,1,193,1,193,1,193,3,193,1922,8,193,1,193,4,193,1925,8, - 193,11,193,12,193,1926,1,193,1,193,1,193,1,193,1,193,3,193,1934, - 8,193,1,193,4,193,1937,8,193,11,193,12,193,1938,1,193,1,193,1,193, - 1,193,3,193,1945,8,193,1,193,4,193,1948,8,193,11,193,12,193,1949, - 3,193,1952,8,193,1,194,1,194,4,194,1956,8,194,11,194,12,194,1957, - 1,195,4,195,1961,8,195,11,195,12,195,1962,1,196,1,196,1,196,4,196, - 1968,8,196,11,196,12,196,1969,1,197,1,197,1,197,1,197,1,197,1,197, - 5,197,1978,8,197,10,197,12,197,1981,9,197,1,197,1,197,1,197,1,197, + 1,192,5,192,1867,8,192,10,192,12,192,1870,9,192,1,192,1,192,1,192, + 1,192,1,192,1,192,1,192,1,192,5,192,1880,8,192,10,192,12,192,1883, + 9,192,1,192,1,192,3,192,1887,8,192,1,193,1,193,1,193,5,193,1892, + 8,193,10,193,12,193,1895,9,193,1,193,1,193,3,193,1899,8,193,1,193, + 1,193,3,193,1903,8,193,1,193,4,193,1906,8,193,11,193,12,193,1907, + 1,193,1,193,1,193,3,193,1913,8,193,1,193,1,193,3,193,1917,8,193, + 1,193,4,193,1920,8,193,11,193,12,193,1921,1,193,1,193,1,193,5,193, + 1927,8,193,10,193,12,193,1930,9,193,1,193,1,193,1,193,3,193,1935, + 8,193,1,193,4,193,1938,8,193,11,193,12,193,1939,1,193,1,193,1,193, + 1,193,1,193,3,193,1947,8,193,1,193,4,193,1950,8,193,11,193,12,193, + 1951,1,193,1,193,1,193,1,193,3,193,1958,8,193,1,193,4,193,1961,8, + 193,11,193,12,193,1962,3,193,1965,8,193,1,194,1,194,4,194,1969,8, + 194,11,194,12,194,1970,1,195,4,195,1974,8,195,11,195,12,195,1975, + 1,196,1,196,1,196,4,196,1981,8,196,11,196,12,196,1982,1,197,1,197, 1,197,1,197,1,197,1,197,5,197,1991,8,197,10,197,12,197,1994,9,197, - 1,197,1,197,3,197,1998,8,197,1,198,1,198,1,199,1,199,1,200,1,200, - 1,201,1,201,1,202,1,202,1,203,1,203,1,204,1,204,1,205,1,205,1,206, - 1,206,1,207,1,207,1,208,1,208,1,209,1,209,1,210,1,210,1,211,1,211, - 1,212,1,212,1,213,1,213,1,214,1,214,1,215,1,215,1,216,1,216,1,217, - 1,217,1,218,1,218,1,219,1,219,1,220,1,220,1,221,1,221,1,222,1,222, - 1,223,1,223,1,224,1,224,1,225,1,225,1,226,1,226,1,227,1,227,1,228, - 1,228,1,228,1,229,1,229,1,230,1,230,1,231,1,231,1,232,1,232,1,233, - 1,233,1,234,1,234,1,234,1,235,1,235,1,236,1,236,1,237,1,237,1,238, - 1,238,1,238,1,239,1,239,1,240,1,240,1,240,1,241,1,241,1,242,1,242, - 1,243,1,243,1,244,1,244,1,245,1,245,1,245,1,246,1,246,1,247,1,247, - 1,248,1,248,1,248,1,248,3,248,2109,8,248,1,249,1,249,1,250,1,250, - 1,251,1,251,1,252,1,252,1,253,1,253,1,254,1,254,1,255,1,255,1,256, - 1,256,1,257,1,257,1,258,1,258,1,259,1,259,1,260,1,260,1,260,1,260, - 5,260,2137,8,260,10,260,12,260,2140,9,260,1,260,1,260,1,260,1,260, - 1,260,1,261,1,261,1,261,1,261,5,261,2151,8,261,10,261,12,261,2154, - 9,261,1,261,3,261,2157,8,261,1,261,1,261,1,262,1,262,1,262,1,262, - 1,2138,0,263,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11, - 23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19,39,20,41,21,43,22, - 45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,61,31,63,32,65,33, - 67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,44, - 89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,52,105,53,107,54, - 109,55,111,56,113,57,115,58,117,59,119,60,121,61,123,62,125,63,127, - 64,129,65,131,66,133,67,135,68,137,69,139,70,141,71,143,72,145,73, - 147,74,149,75,151,76,153,77,155,78,157,79,159,80,161,81,163,82,165, - 83,167,84,169,85,171,86,173,87,175,88,177,89,179,90,181,91,183,92, - 185,93,187,94,189,95,191,96,193,97,195,98,197,99,199,100,201,101, - 203,102,205,103,207,104,209,105,211,106,213,107,215,108,217,109, - 219,110,221,111,223,112,225,113,227,114,229,115,231,116,233,117, - 235,118,237,119,239,120,241,121,243,122,245,123,247,124,249,125, - 251,126,253,127,255,128,257,129,259,130,261,131,263,132,265,133, - 267,134,269,135,271,136,273,137,275,138,277,139,279,140,281,141, - 283,142,285,143,287,144,289,145,291,146,293,147,295,148,297,149, - 299,150,301,151,303,152,305,153,307,154,309,155,311,156,313,157, - 315,158,317,159,319,160,321,161,323,162,325,163,327,164,329,165, - 331,166,333,167,335,168,337,169,339,170,341,171,343,172,345,173, - 347,174,349,175,351,176,353,177,355,178,357,179,359,180,361,181, - 363,182,365,183,367,184,369,185,371,186,373,187,375,188,377,189, - 379,190,381,191,383,192,385,193,387,194,389,195,391,196,393,197, - 395,198,397,0,399,0,401,0,403,0,405,0,407,0,409,0,411,0,413,0,415, - 0,417,0,419,0,421,0,423,0,425,0,427,0,429,0,431,0,433,0,435,0,437, - 0,439,0,441,0,443,0,445,0,447,0,449,0,451,0,453,0,455,0,457,199, - 459,200,461,201,463,202,465,203,467,204,469,205,471,206,473,207, - 475,208,477,209,479,210,481,211,483,212,485,213,487,214,489,215, - 491,216,493,217,495,218,497,219,499,220,501,221,503,222,505,223, - 507,224,509,225,511,226,513,227,515,228,517,229,519,230,521,231, - 523,232,525,233,1,0,36,2,0,92,92,96,96,2,0,39,39,92,92,2,0,34,34, - 92,92,2,0,65,65,97,97,2,0,66,66,98,98,2,0,67,67,99,99,2,0,68,68, - 100,100,2,0,69,69,101,101,2,0,70,70,102,102,2,0,71,71,103,103,2, - 0,72,72,104,104,2,0,73,73,105,105,2,0,74,74,106,106,2,0,75,75,107, - 107,2,0,76,76,108,108,2,0,77,77,109,109,2,0,78,78,110,110,2,0,79, - 79,111,111,2,0,80,80,112,112,2,0,81,81,113,113,2,0,82,82,114,114, - 2,0,83,83,115,115,2,0,84,84,116,116,2,0,85,85,117,117,2,0,86,86, - 118,118,2,0,87,87,119,119,2,0,88,88,120,120,2,0,89,89,121,121,2, - 0,90,90,122,122,2,0,65,90,97,122,1,0,48,55,1,0,48,57,3,0,48,57,65, - 70,97,102,2,0,10,10,13,13,2,1,10,10,13,13,2,0,9,13,32,32,2191,0, - 1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1, - 0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1, - 0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1, - 0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1, - 0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0,49,1,0,0,0,0,51,1, - 0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61,1, - 0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71,1, - 0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81,1, - 0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91,1, - 0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101, - 1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0, - 0,111,1,0,0,0,0,113,1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1, - 0,0,0,0,121,1,0,0,0,0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0, - 129,1,0,0,0,0,131,1,0,0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0, - 0,0,0,139,1,0,0,0,0,141,1,0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147, - 1,0,0,0,0,149,1,0,0,0,0,151,1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0, - 0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0,0,0,0,163,1,0,0,0,0,165,1, - 0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0, - 175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0, - 0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193, - 1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0, - 0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1, - 0,0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0, - 221,1,0,0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0, - 0,0,0,231,1,0,0,0,0,233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239, - 1,0,0,0,0,241,1,0,0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0, - 0,249,1,0,0,0,0,251,1,0,0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1, - 0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0, - 267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,0,273,1,0,0,0,0,275,1,0, - 0,0,0,277,1,0,0,0,0,279,1,0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0,285, - 1,0,0,0,0,287,1,0,0,0,0,289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0, - 0,295,1,0,0,0,0,297,1,0,0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1, - 0,0,0,0,305,1,0,0,0,0,307,1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0, - 313,1,0,0,0,0,315,1,0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0, - 0,0,0,323,1,0,0,0,0,325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331, - 1,0,0,0,0,333,1,0,0,0,0,335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0, - 0,341,1,0,0,0,0,343,1,0,0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1, - 0,0,0,0,351,1,0,0,0,0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0, - 359,1,0,0,0,0,361,1,0,0,0,0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0, - 0,0,0,369,1,0,0,0,0,371,1,0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377, - 1,0,0,0,0,379,1,0,0,0,0,381,1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0, - 0,387,1,0,0,0,0,389,1,0,0,0,0,391,1,0,0,0,0,393,1,0,0,0,0,395,1, - 0,0,0,0,457,1,0,0,0,0,459,1,0,0,0,0,461,1,0,0,0,0,463,1,0,0,0,0, - 465,1,0,0,0,0,467,1,0,0,0,0,469,1,0,0,0,0,471,1,0,0,0,0,473,1,0, - 0,0,0,475,1,0,0,0,0,477,1,0,0,0,0,479,1,0,0,0,0,481,1,0,0,0,0,483, - 1,0,0,0,0,485,1,0,0,0,0,487,1,0,0,0,0,489,1,0,0,0,0,491,1,0,0,0, - 0,493,1,0,0,0,0,495,1,0,0,0,0,497,1,0,0,0,0,499,1,0,0,0,0,501,1, - 0,0,0,0,503,1,0,0,0,0,505,1,0,0,0,0,507,1,0,0,0,0,509,1,0,0,0,0, - 511,1,0,0,0,0,513,1,0,0,0,0,515,1,0,0,0,0,517,1,0,0,0,0,519,1,0, - 0,0,0,521,1,0,0,0,0,523,1,0,0,0,0,525,1,0,0,0,1,527,1,0,0,0,3,531, - 1,0,0,0,5,537,1,0,0,0,7,543,1,0,0,0,9,547,1,0,0,0,11,553,1,0,0,0, - 13,557,1,0,0,0,15,562,1,0,0,0,17,566,1,0,0,0,19,572,1,0,0,0,21,589, - 1,0,0,0,23,591,1,0,0,0,25,596,1,0,0,0,27,600,1,0,0,0,29,606,1,0, - 0,0,31,613,1,0,0,0,33,621,1,0,0,0,35,626,1,0,0,0,37,629,1,0,0,0, - 39,634,1,0,0,0,41,639,1,0,0,0,43,645,1,0,0,0,45,651,1,0,0,0,47,659, - 1,0,0,0,49,665,1,0,0,0,51,673,1,0,0,0,53,680,1,0,0,0,55,688,1,0, - 0,0,57,699,1,0,0,0,59,706,1,0,0,0,61,712,1,0,0,0,63,717,1,0,0,0, - 65,725,1,0,0,0,67,734,1,0,0,0,69,744,1,0,0,0,71,749,1,0,0,0,73,753, - 1,0,0,0,75,765,1,0,0,0,77,773,1,0,0,0,79,779,1,0,0,0,81,786,1,0, - 0,0,83,791,1,0,0,0,85,802,1,0,0,0,87,811,1,0,0,0,89,818,1,0,0,0, - 91,831,1,0,0,0,93,842,1,0,0,0,95,847,1,0,0,0,97,856,1,0,0,0,99,868, - 1,0,0,0,101,873,1,0,0,0,103,878,1,0,0,0,105,882,1,0,0,0,107,889, - 1,0,0,0,109,896,1,0,0,0,111,903,1,0,0,0,113,911,1,0,0,0,115,922, - 1,0,0,0,117,930,1,0,0,0,119,938,1,0,0,0,121,944,1,0,0,0,123,950, - 1,0,0,0,125,956,1,0,0,0,127,966,1,0,0,0,129,970,1,0,0,0,131,977, - 1,0,0,0,133,984,1,0,0,0,135,989,1,0,0,0,137,994,1,0,0,0,139,1003, - 1,0,0,0,141,1010,1,0,0,0,143,1022,1,0,0,0,145,1028,1,0,0,0,147,1035, - 1,0,0,0,149,1048,1,0,0,0,151,1053,1,0,0,0,153,1056,1,0,0,0,155,1059, - 1,0,0,0,157,1065,1,0,0,0,159,1068,1,0,0,0,161,1087,1,0,0,0,163,1089, - 1,0,0,0,165,1099,1,0,0,0,167,1105,1,0,0,0,169,1112,1,0,0,0,171,1121, - 1,0,0,0,173,1126,1,0,0,0,175,1129,1,0,0,0,177,1142,1,0,0,0,179,1147, - 1,0,0,0,181,1151,1,0,0,0,183,1156,1,0,0,0,185,1161,1,0,0,0,187,1168, - 1,0,0,0,189,1176,1,0,0,0,191,1181,1,0,0,0,193,1190,1,0,0,0,195,1195, - 1,0,0,0,197,1201,1,0,0,0,199,1206,1,0,0,0,201,1212,1,0,0,0,203,1217, - 1,0,0,0,205,1229,1,0,0,0,207,1242,1,0,0,0,209,1246,1,0,0,0,211,1253, - 1,0,0,0,213,1257,1,0,0,0,215,1264,1,0,0,0,217,1271,1,0,0,0,219,1277, - 1,0,0,0,221,1282,1,0,0,0,223,1291,1,0,0,0,225,1295,1,0,0,0,227,1298, - 1,0,0,0,229,1302,1,0,0,0,231,1307,1,0,0,0,233,1313,1,0,0,0,235,1320, - 1,0,0,0,237,1323,1,0,0,0,239,1332,1,0,0,0,241,1335,1,0,0,0,243,1341, - 1,0,0,0,245,1347,1,0,0,0,247,1355,1,0,0,0,249,1360,1,0,0,0,251,1370, - 1,0,0,0,253,1379,1,0,0,0,255,1389,1,0,0,0,257,1398,1,0,0,0,259,1406, - 1,0,0,0,261,1417,1,0,0,0,263,1425,1,0,0,0,265,1431,1,0,0,0,267,1438, - 1,0,0,0,269,1445,1,0,0,0,271,1452,1,0,0,0,273,1460,1,0,0,0,275,1468, - 1,0,0,0,277,1479,1,0,0,0,279,1485,1,0,0,0,281,1492,1,0,0,0,283,1496, - 1,0,0,0,285,1501,1,0,0,0,287,1508,1,0,0,0,289,1515,1,0,0,0,291,1522, - 1,0,0,0,293,1527,1,0,0,0,295,1533,1,0,0,0,297,1537,1,0,0,0,299,1546, - 1,0,0,0,301,1551,1,0,0,0,303,1558,1,0,0,0,305,1564,1,0,0,0,307,1569, - 1,0,0,0,309,1579,1,0,0,0,311,1584,1,0,0,0,313,1591,1,0,0,0,315,1598, - 1,0,0,0,317,1604,1,0,0,0,319,1611,1,0,0,0,321,1621,1,0,0,0,323,1626, - 1,0,0,0,325,1631,1,0,0,0,327,1636,1,0,0,0,329,1644,1,0,0,0,331,1654, - 1,0,0,0,333,1657,1,0,0,0,335,1661,1,0,0,0,337,1668,1,0,0,0,339,1677, - 1,0,0,0,341,1682,1,0,0,0,343,1691,1,0,0,0,345,1695,1,0,0,0,347,1700, - 1,0,0,0,349,1710,1,0,0,0,351,1716,1,0,0,0,353,1723,1,0,0,0,355,1727, - 1,0,0,0,357,1733,1,0,0,0,359,1738,1,0,0,0,361,1745,1,0,0,0,363,1750, - 1,0,0,0,365,1757,1,0,0,0,367,1763,1,0,0,0,369,1768,1,0,0,0,371,1773, - 1,0,0,0,373,1779,1,0,0,0,375,1786,1,0,0,0,377,1801,1,0,0,0,379,1803, - 1,0,0,0,381,1809,1,0,0,0,383,1844,1,0,0,0,385,1873,1,0,0,0,387,1951, - 1,0,0,0,389,1953,1,0,0,0,391,1960,1,0,0,0,393,1964,1,0,0,0,395,1997, - 1,0,0,0,397,1999,1,0,0,0,399,2001,1,0,0,0,401,2003,1,0,0,0,403,2005, - 1,0,0,0,405,2007,1,0,0,0,407,2009,1,0,0,0,409,2011,1,0,0,0,411,2013, - 1,0,0,0,413,2015,1,0,0,0,415,2017,1,0,0,0,417,2019,1,0,0,0,419,2021, - 1,0,0,0,421,2023,1,0,0,0,423,2025,1,0,0,0,425,2027,1,0,0,0,427,2029, - 1,0,0,0,429,2031,1,0,0,0,431,2033,1,0,0,0,433,2035,1,0,0,0,435,2037, - 1,0,0,0,437,2039,1,0,0,0,439,2041,1,0,0,0,441,2043,1,0,0,0,443,2045, - 1,0,0,0,445,2047,1,0,0,0,447,2049,1,0,0,0,449,2051,1,0,0,0,451,2053, - 1,0,0,0,453,2055,1,0,0,0,455,2057,1,0,0,0,457,2059,1,0,0,0,459,2062, - 1,0,0,0,461,2064,1,0,0,0,463,2066,1,0,0,0,465,2068,1,0,0,0,467,2070, - 1,0,0,0,469,2072,1,0,0,0,471,2075,1,0,0,0,473,2077,1,0,0,0,475,2079, - 1,0,0,0,477,2081,1,0,0,0,479,2084,1,0,0,0,481,2086,1,0,0,0,483,2089, - 1,0,0,0,485,2091,1,0,0,0,487,2093,1,0,0,0,489,2095,1,0,0,0,491,2097, - 1,0,0,0,493,2100,1,0,0,0,495,2102,1,0,0,0,497,2108,1,0,0,0,499,2110, - 1,0,0,0,501,2112,1,0,0,0,503,2114,1,0,0,0,505,2116,1,0,0,0,507,2118, - 1,0,0,0,509,2120,1,0,0,0,511,2122,1,0,0,0,513,2124,1,0,0,0,515,2126, - 1,0,0,0,517,2128,1,0,0,0,519,2130,1,0,0,0,521,2132,1,0,0,0,523,2146, - 1,0,0,0,525,2160,1,0,0,0,527,528,3,397,198,0,528,529,3,403,201,0, - 529,530,3,403,201,0,530,2,1,0,0,0,531,532,3,397,198,0,532,533,3, - 407,203,0,533,534,3,435,217,0,534,535,3,405,202,0,535,536,3,431, - 215,0,536,4,1,0,0,0,537,538,3,397,198,0,538,539,3,419,209,0,539, - 540,3,413,206,0,540,541,3,397,198,0,541,542,3,433,216,0,542,6,1, - 0,0,0,543,544,3,397,198,0,544,545,3,419,209,0,545,546,3,419,209, - 0,546,8,1,0,0,0,547,548,3,397,198,0,548,549,3,419,209,0,549,550, - 3,435,217,0,550,551,3,405,202,0,551,552,3,431,215,0,552,10,1,0,0, - 0,553,554,3,397,198,0,554,555,3,423,211,0,555,556,3,403,201,0,556, - 12,1,0,0,0,557,558,3,397,198,0,558,559,3,423,211,0,559,560,3,435, - 217,0,560,561,3,413,206,0,561,14,1,0,0,0,562,563,3,397,198,0,563, - 564,3,423,211,0,564,565,3,445,222,0,565,16,1,0,0,0,566,567,3,397, - 198,0,567,568,3,431,215,0,568,569,3,431,215,0,569,570,3,397,198, - 0,570,571,3,445,222,0,571,18,1,0,0,0,572,573,3,397,198,0,573,574, - 3,433,216,0,574,20,1,0,0,0,575,576,3,397,198,0,576,577,3,433,216, - 0,577,578,3,401,200,0,578,590,1,0,0,0,579,580,3,397,198,0,580,581, - 3,433,216,0,581,582,3,401,200,0,582,583,3,405,202,0,583,584,3,423, - 211,0,584,585,3,403,201,0,585,586,3,413,206,0,586,587,3,423,211, - 0,587,588,3,409,204,0,588,590,1,0,0,0,589,575,1,0,0,0,589,579,1, - 0,0,0,590,22,1,0,0,0,591,592,3,397,198,0,592,593,3,433,216,0,593, - 594,3,425,212,0,594,595,3,407,203,0,595,24,1,0,0,0,596,597,3,397, - 198,0,597,598,3,433,216,0,598,599,3,435,217,0,599,26,1,0,0,0,600, - 601,3,397,198,0,601,602,3,433,216,0,602,603,3,445,222,0,603,604, - 3,423,211,0,604,605,3,401,200,0,605,28,1,0,0,0,606,607,3,397,198, - 0,607,608,3,435,217,0,608,609,3,435,217,0,609,610,3,397,198,0,610, - 611,3,401,200,0,611,612,3,411,205,0,612,30,1,0,0,0,613,614,3,399, - 199,0,614,615,3,405,202,0,615,616,3,435,217,0,616,617,3,441,220, - 0,617,618,3,405,202,0,618,619,3,405,202,0,619,620,3,423,211,0,620, - 32,1,0,0,0,621,622,3,399,199,0,622,623,3,425,212,0,623,624,3,435, - 217,0,624,625,3,411,205,0,625,34,1,0,0,0,626,627,3,399,199,0,627, - 628,3,445,222,0,628,36,1,0,0,0,629,630,3,401,200,0,630,631,3,397, - 198,0,631,632,3,433,216,0,632,633,3,405,202,0,633,38,1,0,0,0,634, - 635,3,401,200,0,635,636,3,397,198,0,636,637,3,433,216,0,637,638, - 3,435,217,0,638,40,1,0,0,0,639,640,3,401,200,0,640,641,3,411,205, - 0,641,642,3,405,202,0,642,643,3,401,200,0,643,644,3,417,208,0,644, - 42,1,0,0,0,645,646,3,401,200,0,646,647,3,419,209,0,647,648,3,405, - 202,0,648,649,3,397,198,0,649,650,3,431,215,0,650,44,1,0,0,0,651, - 652,3,401,200,0,652,653,3,419,209,0,653,654,3,437,218,0,654,655, - 3,433,216,0,655,656,3,435,217,0,656,657,3,405,202,0,657,658,3,431, - 215,0,658,46,1,0,0,0,659,660,3,401,200,0,660,661,3,425,212,0,661, - 662,3,403,201,0,662,663,3,405,202,0,663,664,3,401,200,0,664,48,1, - 0,0,0,665,666,3,401,200,0,666,667,3,425,212,0,667,668,3,419,209, - 0,668,669,3,419,209,0,669,670,3,397,198,0,670,671,3,435,217,0,671, - 672,3,405,202,0,672,50,1,0,0,0,673,674,3,401,200,0,674,675,3,425, - 212,0,675,676,3,419,209,0,676,677,3,437,218,0,677,678,3,421,210, - 0,678,679,3,423,211,0,679,52,1,0,0,0,680,681,3,401,200,0,681,682, - 3,425,212,0,682,683,3,421,210,0,683,684,3,421,210,0,684,685,3,405, - 202,0,685,686,3,423,211,0,686,687,3,435,217,0,687,54,1,0,0,0,688, - 689,3,401,200,0,689,690,3,425,212,0,690,691,3,423,211,0,691,692, - 3,433,216,0,692,693,3,435,217,0,693,694,3,431,215,0,694,695,3,397, - 198,0,695,696,3,413,206,0,696,697,3,423,211,0,697,698,3,435,217, - 0,698,56,1,0,0,0,699,700,3,401,200,0,700,701,3,431,215,0,701,702, - 3,405,202,0,702,703,3,397,198,0,703,704,3,435,217,0,704,705,3,405, - 202,0,705,58,1,0,0,0,706,707,3,401,200,0,707,708,3,431,215,0,708, - 709,3,425,212,0,709,710,3,433,216,0,710,711,3,433,216,0,711,60,1, - 0,0,0,712,713,3,401,200,0,713,714,3,437,218,0,714,715,3,399,199, - 0,715,716,3,405,202,0,716,62,1,0,0,0,717,718,3,401,200,0,718,719, - 3,437,218,0,719,720,3,431,215,0,720,721,3,431,215,0,721,722,3,405, - 202,0,722,723,3,423,211,0,723,724,3,435,217,0,724,64,1,0,0,0,725, - 726,3,403,201,0,726,727,3,397,198,0,727,728,3,435,217,0,728,729, - 3,397,198,0,729,730,3,399,199,0,730,731,3,397,198,0,731,732,3,433, - 216,0,732,733,3,405,202,0,733,66,1,0,0,0,734,735,3,403,201,0,735, - 736,3,397,198,0,736,737,3,435,217,0,737,738,3,397,198,0,738,739, - 3,399,199,0,739,740,3,397,198,0,740,741,3,433,216,0,741,742,3,405, - 202,0,742,743,3,433,216,0,743,68,1,0,0,0,744,745,3,403,201,0,745, - 746,3,397,198,0,746,747,3,435,217,0,747,748,3,405,202,0,748,70,1, - 0,0,0,749,750,3,403,201,0,750,751,3,397,198,0,751,752,3,445,222, - 0,752,72,1,0,0,0,753,754,3,403,201,0,754,755,3,405,202,0,755,756, - 3,403,201,0,756,757,3,437,218,0,757,758,3,427,213,0,758,759,3,419, - 209,0,759,760,3,413,206,0,760,761,3,401,200,0,761,762,3,397,198, - 0,762,763,3,435,217,0,763,764,3,405,202,0,764,74,1,0,0,0,765,766, - 3,403,201,0,766,767,3,405,202,0,767,768,3,407,203,0,768,769,3,397, - 198,0,769,770,3,437,218,0,770,771,3,419,209,0,771,772,3,435,217, - 0,772,76,1,0,0,0,773,774,3,403,201,0,774,775,3,405,202,0,775,776, - 3,419,209,0,776,777,3,397,198,0,777,778,3,445,222,0,778,78,1,0,0, - 0,779,780,3,403,201,0,780,781,3,405,202,0,781,782,3,419,209,0,782, - 783,3,405,202,0,783,784,3,435,217,0,784,785,3,405,202,0,785,80,1, - 0,0,0,786,787,3,403,201,0,787,788,3,405,202,0,788,789,3,433,216, - 0,789,790,3,401,200,0,790,82,1,0,0,0,791,792,3,403,201,0,792,793, - 3,405,202,0,793,794,3,433,216,0,794,795,3,401,200,0,795,796,3,405, - 202,0,796,797,3,423,211,0,797,798,3,403,201,0,798,799,3,413,206, - 0,799,800,3,423,211,0,800,801,3,409,204,0,801,84,1,0,0,0,802,803, - 3,403,201,0,803,804,3,405,202,0,804,805,3,433,216,0,805,806,3,401, - 200,0,806,807,3,431,215,0,807,808,3,413,206,0,808,809,3,399,199, - 0,809,810,3,405,202,0,810,86,1,0,0,0,811,812,3,403,201,0,812,813, - 3,405,202,0,813,814,3,435,217,0,814,815,3,397,198,0,815,816,3,401, - 200,0,816,817,3,411,205,0,817,88,1,0,0,0,818,819,3,403,201,0,819, - 820,3,413,206,0,820,821,3,401,200,0,821,822,3,435,217,0,822,823, - 3,413,206,0,823,824,3,425,212,0,824,825,3,423,211,0,825,826,3,397, - 198,0,826,827,3,431,215,0,827,828,3,413,206,0,828,829,3,405,202, - 0,829,830,3,433,216,0,830,90,1,0,0,0,831,832,3,403,201,0,832,833, - 3,413,206,0,833,834,3,401,200,0,834,835,3,435,217,0,835,836,3,413, - 206,0,836,837,3,425,212,0,837,838,3,423,211,0,838,839,3,397,198, - 0,839,840,3,431,215,0,840,841,3,445,222,0,841,92,1,0,0,0,842,843, - 3,403,201,0,843,844,3,413,206,0,844,845,3,433,216,0,845,846,3,417, - 208,0,846,94,1,0,0,0,847,848,3,403,201,0,848,849,3,413,206,0,849, - 850,3,433,216,0,850,851,3,435,217,0,851,852,3,413,206,0,852,853, - 3,423,211,0,853,854,3,401,200,0,854,855,3,435,217,0,855,96,1,0,0, - 0,856,857,3,403,201,0,857,858,3,413,206,0,858,859,3,433,216,0,859, - 860,3,435,217,0,860,861,3,431,215,0,861,862,3,413,206,0,862,863, - 3,399,199,0,863,864,3,437,218,0,864,865,3,435,217,0,865,866,3,405, - 202,0,866,867,3,403,201,0,867,98,1,0,0,0,868,869,3,403,201,0,869, - 870,3,431,215,0,870,871,3,425,212,0,871,872,3,427,213,0,872,100, - 1,0,0,0,873,874,3,405,202,0,874,875,3,419,209,0,875,876,3,433,216, - 0,876,877,3,405,202,0,877,102,1,0,0,0,878,879,3,405,202,0,879,880, - 3,423,211,0,880,881,3,403,201,0,881,104,1,0,0,0,882,883,3,405,202, - 0,883,884,3,423,211,0,884,885,3,409,204,0,885,886,3,413,206,0,886, - 887,3,423,211,0,887,888,3,405,202,0,888,106,1,0,0,0,889,890,3,405, - 202,0,890,891,3,439,219,0,891,892,3,405,202,0,892,893,3,423,211, - 0,893,894,3,435,217,0,894,895,3,433,216,0,895,108,1,0,0,0,896,897, - 3,405,202,0,897,898,3,443,221,0,898,899,3,413,206,0,899,900,3,433, - 216,0,900,901,3,435,217,0,901,902,3,433,216,0,902,110,1,0,0,0,903, - 904,3,405,202,0,904,905,3,443,221,0,905,906,3,427,213,0,906,907, - 3,419,209,0,907,908,3,397,198,0,908,909,3,413,206,0,909,910,3,423, - 211,0,910,112,1,0,0,0,911,912,3,405,202,0,912,913,3,443,221,0,913, - 914,3,427,213,0,914,915,3,431,215,0,915,916,3,405,202,0,916,917, - 3,433,216,0,917,918,3,433,216,0,918,919,3,413,206,0,919,920,3,425, - 212,0,920,921,3,423,211,0,921,114,1,0,0,0,922,923,3,405,202,0,923, - 924,3,443,221,0,924,925,3,435,217,0,925,926,3,431,215,0,926,927, - 3,397,198,0,927,928,3,401,200,0,928,929,3,435,217,0,929,116,1,0, - 0,0,930,931,3,407,203,0,931,932,3,405,202,0,932,933,3,435,217,0, - 933,934,3,401,200,0,934,935,3,411,205,0,935,936,3,405,202,0,936, - 937,3,433,216,0,937,118,1,0,0,0,938,939,3,407,203,0,939,940,3,413, - 206,0,940,941,3,423,211,0,941,942,3,397,198,0,942,943,3,419,209, - 0,943,120,1,0,0,0,944,945,3,407,203,0,945,946,3,413,206,0,946,947, - 3,431,215,0,947,948,3,433,216,0,948,949,3,435,217,0,949,122,1,0, - 0,0,950,951,3,407,203,0,951,952,3,419,209,0,952,953,3,437,218,0, - 953,954,3,433,216,0,954,955,3,411,205,0,955,124,1,0,0,0,956,957, - 3,407,203,0,957,958,3,425,212,0,958,959,3,419,209,0,959,960,3,419, - 209,0,960,961,3,425,212,0,961,962,3,441,220,0,962,963,3,413,206, - 0,963,964,3,423,211,0,964,965,3,409,204,0,965,126,1,0,0,0,966,967, - 3,407,203,0,967,968,3,425,212,0,968,969,3,431,215,0,969,128,1,0, - 0,0,970,971,3,407,203,0,971,972,3,425,212,0,972,973,3,431,215,0, - 973,974,3,421,210,0,974,975,3,397,198,0,975,976,3,435,217,0,976, - 130,1,0,0,0,977,978,3,407,203,0,978,979,3,431,215,0,979,980,3,405, - 202,0,980,981,3,405,202,0,981,982,3,447,223,0,982,983,3,405,202, - 0,983,132,1,0,0,0,984,985,3,407,203,0,985,986,3,431,215,0,986,987, - 3,425,212,0,987,988,3,421,210,0,988,134,1,0,0,0,989,990,3,407,203, - 0,990,991,3,437,218,0,991,992,3,419,209,0,992,993,3,419,209,0,993, - 136,1,0,0,0,994,995,3,407,203,0,995,996,3,437,218,0,996,997,3,423, - 211,0,997,998,3,401,200,0,998,999,3,435,217,0,999,1000,3,413,206, - 0,1000,1001,3,425,212,0,1001,1002,3,423,211,0,1002,138,1,0,0,0,1003, - 1004,3,409,204,0,1004,1005,3,419,209,0,1005,1006,3,425,212,0,1006, - 1007,3,399,199,0,1007,1008,3,397,198,0,1008,1009,3,419,209,0,1009, - 140,1,0,0,0,1010,1011,3,409,204,0,1011,1012,3,431,215,0,1012,1013, - 3,397,198,0,1013,1014,3,423,211,0,1014,1015,3,437,218,0,1015,1016, - 3,419,209,0,1016,1017,3,397,198,0,1017,1018,3,431,215,0,1018,1019, - 3,413,206,0,1019,1020,3,435,217,0,1020,1021,3,445,222,0,1021,142, - 1,0,0,0,1022,1023,3,409,204,0,1023,1024,3,431,215,0,1024,1025,3, - 425,212,0,1025,1026,3,437,218,0,1026,1027,3,427,213,0,1027,144,1, - 0,0,0,1028,1029,3,411,205,0,1029,1030,3,397,198,0,1030,1031,3,439, - 219,0,1031,1032,3,413,206,0,1032,1033,3,423,211,0,1033,1034,3,409, - 204,0,1034,146,1,0,0,0,1035,1036,3,411,205,0,1036,1037,3,413,206, - 0,1037,1038,3,405,202,0,1038,1039,3,431,215,0,1039,1040,3,397,198, - 0,1040,1041,3,431,215,0,1041,1042,3,401,200,0,1042,1043,3,411,205, - 0,1043,1044,3,413,206,0,1044,1045,3,401,200,0,1045,1046,3,397,198, - 0,1046,1047,3,419,209,0,1047,148,1,0,0,0,1048,1049,3,411,205,0,1049, - 1050,3,425,212,0,1050,1051,3,437,218,0,1051,1052,3,431,215,0,1052, - 150,1,0,0,0,1053,1054,3,413,206,0,1054,1055,3,403,201,0,1055,152, - 1,0,0,0,1056,1057,3,413,206,0,1057,1058,3,407,203,0,1058,154,1,0, - 0,0,1059,1060,3,413,206,0,1060,1061,3,419,209,0,1061,1062,3,413, - 206,0,1062,1063,3,417,208,0,1063,1064,3,405,202,0,1064,156,1,0,0, - 0,1065,1066,3,413,206,0,1066,1067,3,423,211,0,1067,158,1,0,0,0,1068, - 1069,3,413,206,0,1069,1070,3,423,211,0,1070,1071,3,403,201,0,1071, - 1072,3,405,202,0,1072,1073,3,443,221,0,1073,160,1,0,0,0,1074,1075, - 3,413,206,0,1075,1076,3,423,211,0,1076,1077,3,407,203,0,1077,1088, - 1,0,0,0,1078,1079,3,413,206,0,1079,1080,3,423,211,0,1080,1081,3, - 407,203,0,1081,1082,3,413,206,0,1082,1083,3,423,211,0,1083,1084, - 3,413,206,0,1084,1085,3,435,217,0,1085,1086,3,445,222,0,1086,1088, - 1,0,0,0,1087,1074,1,0,0,0,1087,1078,1,0,0,0,1088,162,1,0,0,0,1089, - 1090,3,413,206,0,1090,1091,3,423,211,0,1091,1092,3,415,207,0,1092, - 1093,3,405,202,0,1093,1094,3,401,200,0,1094,1095,3,435,217,0,1095, - 1096,3,413,206,0,1096,1097,3,439,219,0,1097,1098,3,405,202,0,1098, - 164,1,0,0,0,1099,1100,3,413,206,0,1100,1101,3,423,211,0,1101,1102, - 3,423,211,0,1102,1103,3,405,202,0,1103,1104,3,431,215,0,1104,166, - 1,0,0,0,1105,1106,3,413,206,0,1106,1107,3,423,211,0,1107,1108,3, - 433,216,0,1108,1109,3,405,202,0,1109,1110,3,431,215,0,1110,1111, - 3,435,217,0,1111,168,1,0,0,0,1112,1113,3,413,206,0,1113,1114,3,423, - 211,0,1114,1115,3,435,217,0,1115,1116,3,405,202,0,1116,1117,3,431, - 215,0,1117,1118,3,439,219,0,1118,1119,3,397,198,0,1119,1120,3,419, - 209,0,1120,170,1,0,0,0,1121,1122,3,413,206,0,1122,1123,3,423,211, - 0,1123,1124,3,435,217,0,1124,1125,3,425,212,0,1125,172,1,0,0,0,1126, - 1127,3,413,206,0,1127,1128,3,433,216,0,1128,174,1,0,0,0,1129,1130, - 3,413,206,0,1130,1131,3,433,216,0,1131,1132,3,519,259,0,1132,1133, - 3,425,212,0,1133,1134,3,399,199,0,1134,1135,3,415,207,0,1135,1136, - 3,405,202,0,1136,1137,3,401,200,0,1137,1138,3,435,217,0,1138,1139, - 3,519,259,0,1139,1140,3,413,206,0,1140,1141,3,403,201,0,1141,176, - 1,0,0,0,1142,1143,3,415,207,0,1143,1144,3,425,212,0,1144,1145,3, - 413,206,0,1145,1146,3,423,211,0,1146,178,1,0,0,0,1147,1148,3,417, - 208,0,1148,1149,3,405,202,0,1149,1150,3,445,222,0,1150,180,1,0,0, - 0,1151,1152,3,417,208,0,1152,1153,3,413,206,0,1153,1154,3,419,209, - 0,1154,1155,3,419,209,0,1155,182,1,0,0,0,1156,1157,3,419,209,0,1157, - 1158,3,397,198,0,1158,1159,3,433,216,0,1159,1160,3,435,217,0,1160, - 184,1,0,0,0,1161,1162,3,419,209,0,1162,1163,3,397,198,0,1163,1164, - 3,445,222,0,1164,1165,3,425,212,0,1165,1166,3,437,218,0,1166,1167, - 3,435,217,0,1167,186,1,0,0,0,1168,1169,3,419,209,0,1169,1170,3,405, - 202,0,1170,1171,3,397,198,0,1171,1172,3,403,201,0,1172,1173,3,413, - 206,0,1173,1174,3,423,211,0,1174,1175,3,409,204,0,1175,188,1,0,0, - 0,1176,1177,3,419,209,0,1177,1178,3,405,202,0,1178,1179,3,407,203, - 0,1179,1180,3,435,217,0,1180,190,1,0,0,0,1181,1182,3,419,209,0,1182, - 1183,3,413,206,0,1183,1184,3,407,203,0,1184,1185,3,405,202,0,1185, - 1186,3,435,217,0,1186,1187,3,413,206,0,1187,1188,3,421,210,0,1188, - 1189,3,405,202,0,1189,192,1,0,0,0,1190,1191,3,419,209,0,1191,1192, - 3,413,206,0,1192,1193,3,417,208,0,1193,1194,3,405,202,0,1194,194, - 1,0,0,0,1195,1196,3,419,209,0,1196,1197,3,413,206,0,1197,1198,3, - 421,210,0,1198,1199,3,413,206,0,1199,1200,3,435,217,0,1200,196,1, - 0,0,0,1201,1202,3,419,209,0,1202,1203,3,413,206,0,1203,1204,3,439, - 219,0,1204,1205,3,405,202,0,1205,198,1,0,0,0,1206,1207,3,419,209, - 0,1207,1208,3,425,212,0,1208,1209,3,401,200,0,1209,1210,3,397,198, - 0,1210,1211,3,419,209,0,1211,200,1,0,0,0,1212,1213,3,419,209,0,1213, - 1214,3,425,212,0,1214,1215,3,409,204,0,1215,1216,3,433,216,0,1216, - 202,1,0,0,0,1217,1218,3,421,210,0,1218,1219,3,397,198,0,1219,1220, - 3,435,217,0,1220,1221,3,405,202,0,1221,1222,3,431,215,0,1222,1223, - 3,413,206,0,1223,1224,3,397,198,0,1224,1225,3,419,209,0,1225,1226, - 3,413,206,0,1226,1227,3,447,223,0,1227,1228,3,405,202,0,1228,204, - 1,0,0,0,1229,1230,3,421,210,0,1230,1231,3,397,198,0,1231,1232,3, - 435,217,0,1232,1233,3,405,202,0,1233,1234,3,431,215,0,1234,1235, - 3,413,206,0,1235,1236,3,397,198,0,1236,1237,3,419,209,0,1237,1238, - 3,413,206,0,1238,1239,3,447,223,0,1239,1240,3,405,202,0,1240,1241, - 3,403,201,0,1241,206,1,0,0,0,1242,1243,3,421,210,0,1243,1244,3,397, - 198,0,1244,1245,3,443,221,0,1245,208,1,0,0,0,1246,1247,3,421,210, - 0,1247,1248,3,405,202,0,1248,1249,3,431,215,0,1249,1250,3,409,204, - 0,1250,1251,3,405,202,0,1251,1252,3,433,216,0,1252,210,1,0,0,0,1253, - 1254,3,421,210,0,1254,1255,3,413,206,0,1255,1256,3,423,211,0,1256, - 212,1,0,0,0,1257,1258,3,421,210,0,1258,1259,3,413,206,0,1259,1260, - 3,423,211,0,1260,1261,3,437,218,0,1261,1262,3,435,217,0,1262,1263, - 3,405,202,0,1263,214,1,0,0,0,1264,1265,3,421,210,0,1265,1266,3,425, - 212,0,1266,1267,3,403,201,0,1267,1268,3,413,206,0,1268,1269,3,407, - 203,0,1269,1270,3,445,222,0,1270,216,1,0,0,0,1271,1272,3,421,210, - 0,1272,1273,3,425,212,0,1273,1274,3,423,211,0,1274,1275,3,435,217, - 0,1275,1276,3,411,205,0,1276,218,1,0,0,0,1277,1278,3,421,210,0,1278, - 1279,3,425,212,0,1279,1280,3,439,219,0,1280,1281,3,405,202,0,1281, - 220,1,0,0,0,1282,1283,3,421,210,0,1283,1284,3,437,218,0,1284,1285, - 3,435,217,0,1285,1286,3,397,198,0,1286,1287,3,435,217,0,1287,1288, - 3,413,206,0,1288,1289,3,425,212,0,1289,1290,3,423,211,0,1290,222, - 1,0,0,0,1291,1292,3,423,211,0,1292,1293,3,397,198,0,1293,1294,3, - 423,211,0,1294,224,1,0,0,0,1295,1296,3,423,211,0,1296,1297,3,425, - 212,0,1297,226,1,0,0,0,1298,1299,3,423,211,0,1299,1300,3,425,212, - 0,1300,1301,3,435,217,0,1301,228,1,0,0,0,1302,1303,3,423,211,0,1303, - 1304,3,437,218,0,1304,1305,3,419,209,0,1305,1306,3,419,209,0,1306, - 230,1,0,0,0,1307,1308,3,423,211,0,1308,1309,3,437,218,0,1309,1310, - 3,419,209,0,1310,1311,3,419,209,0,1311,1312,3,433,216,0,1312,232, - 1,0,0,0,1313,1314,3,425,212,0,1314,1315,3,407,203,0,1315,1316,3, - 407,203,0,1316,1317,3,433,216,0,1317,1318,3,405,202,0,1318,1319, - 3,435,217,0,1319,234,1,0,0,0,1320,1321,3,425,212,0,1321,1322,3,423, - 211,0,1322,236,1,0,0,0,1323,1324,3,425,212,0,1324,1325,3,427,213, - 0,1325,1326,3,435,217,0,1326,1327,3,413,206,0,1327,1328,3,421,210, - 0,1328,1329,3,413,206,0,1329,1330,3,447,223,0,1330,1331,3,405,202, - 0,1331,238,1,0,0,0,1332,1333,3,425,212,0,1333,1334,3,431,215,0,1334, - 240,1,0,0,0,1335,1336,3,425,212,0,1336,1337,3,431,215,0,1337,1338, - 3,403,201,0,1338,1339,3,405,202,0,1339,1340,3,431,215,0,1340,242, - 1,0,0,0,1341,1342,3,425,212,0,1342,1343,3,437,218,0,1343,1344,3, - 435,217,0,1344,1345,3,405,202,0,1345,1346,3,431,215,0,1346,244,1, - 0,0,0,1347,1348,3,425,212,0,1348,1349,3,437,218,0,1349,1350,3,435, - 217,0,1350,1351,3,407,203,0,1351,1352,3,413,206,0,1352,1353,3,419, - 209,0,1353,1354,3,405,202,0,1354,246,1,0,0,0,1355,1356,3,425,212, - 0,1356,1357,3,439,219,0,1357,1358,3,405,202,0,1358,1359,3,431,215, - 0,1359,248,1,0,0,0,1360,1361,3,427,213,0,1361,1362,3,397,198,0,1362, - 1363,3,431,215,0,1363,1364,3,435,217,0,1364,1365,3,413,206,0,1365, - 1366,3,435,217,0,1366,1367,3,413,206,0,1367,1368,3,425,212,0,1368, - 1369,3,423,211,0,1369,250,1,0,0,0,1370,1371,3,427,213,0,1371,1372, - 3,425,212,0,1372,1373,3,427,213,0,1373,1374,3,437,218,0,1374,1375, - 3,419,209,0,1375,1376,3,397,198,0,1376,1377,3,435,217,0,1377,1378, - 3,405,202,0,1378,252,1,0,0,0,1379,1380,3,427,213,0,1380,1381,3,431, - 215,0,1381,1382,3,405,202,0,1382,1383,3,401,200,0,1383,1384,3,405, - 202,0,1384,1385,3,403,201,0,1385,1386,3,413,206,0,1386,1387,3,423, - 211,0,1387,1388,3,409,204,0,1388,254,1,0,0,0,1389,1390,3,427,213, - 0,1390,1391,3,431,215,0,1391,1392,3,405,202,0,1392,1393,3,441,220, - 0,1393,1394,3,411,205,0,1394,1395,3,405,202,0,1395,1396,3,431,215, - 0,1396,1397,3,405,202,0,1397,256,1,0,0,0,1398,1399,3,427,213,0,1399, - 1400,3,431,215,0,1400,1401,3,413,206,0,1401,1402,3,421,210,0,1402, - 1403,3,397,198,0,1403,1404,3,431,215,0,1404,1405,3,445,222,0,1405, - 258,1,0,0,0,1406,1407,3,427,213,0,1407,1408,3,431,215,0,1408,1409, - 3,425,212,0,1409,1410,3,415,207,0,1410,1411,3,405,202,0,1411,1412, - 3,401,200,0,1412,1413,3,435,217,0,1413,1414,3,413,206,0,1414,1415, - 3,425,212,0,1415,1416,3,423,211,0,1416,260,1,0,0,0,1417,1418,3,429, - 214,0,1418,1419,3,437,218,0,1419,1420,3,397,198,0,1420,1421,3,431, - 215,0,1421,1422,3,435,217,0,1422,1423,3,405,202,0,1423,1424,3,431, - 215,0,1424,262,1,0,0,0,1425,1426,3,431,215,0,1426,1427,3,397,198, - 0,1427,1428,3,423,211,0,1428,1429,3,409,204,0,1429,1430,3,405,202, - 0,1430,264,1,0,0,0,1431,1432,3,431,215,0,1432,1433,3,405,202,0,1433, - 1434,3,419,209,0,1434,1435,3,425,212,0,1435,1436,3,397,198,0,1436, - 1437,3,403,201,0,1437,266,1,0,0,0,1438,1439,3,431,215,0,1439,1440, - 3,405,202,0,1440,1441,3,421,210,0,1441,1442,3,425,212,0,1442,1443, - 3,439,219,0,1443,1444,3,405,202,0,1444,268,1,0,0,0,1445,1446,3,431, - 215,0,1446,1447,3,405,202,0,1447,1448,3,423,211,0,1448,1449,3,397, - 198,0,1449,1450,3,421,210,0,1450,1451,3,405,202,0,1451,270,1,0,0, - 0,1452,1453,3,431,215,0,1453,1454,3,405,202,0,1454,1455,3,427,213, - 0,1455,1456,3,419,209,0,1456,1457,3,397,198,0,1457,1458,3,401,200, - 0,1458,1459,3,405,202,0,1459,272,1,0,0,0,1460,1461,3,431,215,0,1461, - 1462,3,405,202,0,1462,1463,3,427,213,0,1463,1464,3,419,209,0,1464, - 1465,3,413,206,0,1465,1466,3,401,200,0,1466,1467,3,397,198,0,1467, - 274,1,0,0,0,1468,1469,3,431,215,0,1469,1470,3,405,202,0,1470,1471, - 3,427,213,0,1471,1472,3,419,209,0,1472,1473,3,413,206,0,1473,1474, - 3,401,200,0,1474,1475,3,397,198,0,1475,1476,3,435,217,0,1476,1477, - 3,405,202,0,1477,1478,3,403,201,0,1478,276,1,0,0,0,1479,1480,3,431, - 215,0,1480,1481,3,413,206,0,1481,1482,3,409,204,0,1482,1483,3,411, - 205,0,1483,1484,3,435,217,0,1484,278,1,0,0,0,1485,1486,3,431,215, - 0,1486,1487,3,425,212,0,1487,1488,3,419,209,0,1488,1489,3,419,209, - 0,1489,1490,3,437,218,0,1490,1491,3,427,213,0,1491,280,1,0,0,0,1492, - 1493,3,431,215,0,1493,1494,3,425,212,0,1494,1495,3,441,220,0,1495, - 282,1,0,0,0,1496,1497,3,431,215,0,1497,1498,3,425,212,0,1498,1499, - 3,441,220,0,1499,1500,3,433,216,0,1500,284,1,0,0,0,1501,1502,3,433, - 216,0,1502,1503,3,397,198,0,1503,1504,3,421,210,0,1504,1505,3,427, - 213,0,1505,1506,3,419,209,0,1506,1507,3,405,202,0,1507,286,1,0,0, - 0,1508,1509,3,433,216,0,1509,1510,3,405,202,0,1510,1511,3,401,200, - 0,1511,1512,3,425,212,0,1512,1513,3,423,211,0,1513,1514,3,403,201, - 0,1514,288,1,0,0,0,1515,1516,3,433,216,0,1516,1517,3,405,202,0,1517, - 1518,3,419,209,0,1518,1519,3,405,202,0,1519,1520,3,401,200,0,1520, - 1521,3,435,217,0,1521,290,1,0,0,0,1522,1523,3,433,216,0,1523,1524, - 3,405,202,0,1524,1525,3,421,210,0,1525,1526,3,413,206,0,1526,292, - 1,0,0,0,1527,1528,3,433,216,0,1528,1529,3,405,202,0,1529,1530,3, - 423,211,0,1530,1531,3,403,201,0,1531,1532,3,433,216,0,1532,294,1, - 0,0,0,1533,1534,3,433,216,0,1534,1535,3,405,202,0,1535,1536,3,435, - 217,0,1536,296,1,0,0,0,1537,1538,3,433,216,0,1538,1539,3,405,202, - 0,1539,1540,3,435,217,0,1540,1541,3,435,217,0,1541,1542,3,413,206, - 0,1542,1543,3,423,211,0,1543,1544,3,409,204,0,1544,1545,3,433,216, - 0,1545,298,1,0,0,0,1546,1547,3,433,216,0,1547,1548,3,411,205,0,1548, - 1549,3,425,212,0,1549,1550,3,441,220,0,1550,300,1,0,0,0,1551,1552, - 3,433,216,0,1552,1553,3,425,212,0,1553,1554,3,437,218,0,1554,1555, - 3,431,215,0,1555,1556,3,401,200,0,1556,1557,3,405,202,0,1557,302, - 1,0,0,0,1558,1559,3,433,216,0,1559,1560,3,435,217,0,1560,1561,3, - 397,198,0,1561,1562,3,431,215,0,1562,1563,3,435,217,0,1563,304,1, - 0,0,0,1564,1565,3,433,216,0,1565,1566,3,435,217,0,1566,1567,3,425, - 212,0,1567,1568,3,427,213,0,1568,306,1,0,0,0,1569,1570,3,433,216, - 0,1570,1571,3,437,218,0,1571,1572,3,399,199,0,1572,1573,3,433,216, - 0,1573,1574,3,435,217,0,1574,1575,3,431,215,0,1575,1576,3,413,206, - 0,1576,1577,3,423,211,0,1577,1578,3,409,204,0,1578,308,1,0,0,0,1579, - 1580,3,433,216,0,1580,1581,3,445,222,0,1581,1582,3,423,211,0,1582, - 1583,3,401,200,0,1583,310,1,0,0,0,1584,1585,3,433,216,0,1585,1586, - 3,445,222,0,1586,1587,3,423,211,0,1587,1588,3,435,217,0,1588,1589, - 3,397,198,0,1589,1590,3,443,221,0,1590,312,1,0,0,0,1591,1592,3,433, - 216,0,1592,1593,3,445,222,0,1593,1594,3,433,216,0,1594,1595,3,435, - 217,0,1595,1596,3,405,202,0,1596,1597,3,421,210,0,1597,314,1,0,0, - 0,1598,1599,3,435,217,0,1599,1600,3,397,198,0,1600,1601,3,399,199, - 0,1601,1602,3,419,209,0,1602,1603,3,405,202,0,1603,316,1,0,0,0,1604, - 1605,3,435,217,0,1605,1606,3,397,198,0,1606,1607,3,399,199,0,1607, - 1608,3,419,209,0,1608,1609,3,405,202,0,1609,1610,3,433,216,0,1610, - 318,1,0,0,0,1611,1612,3,435,217,0,1612,1613,3,405,202,0,1613,1614, - 3,421,210,0,1614,1615,3,427,213,0,1615,1616,3,425,212,0,1616,1617, - 3,431,215,0,1617,1618,3,397,198,0,1618,1619,3,431,215,0,1619,1620, - 3,445,222,0,1620,320,1,0,0,0,1621,1622,3,435,217,0,1622,1623,3,405, - 202,0,1623,1624,3,433,216,0,1624,1625,3,435,217,0,1625,322,1,0,0, - 0,1626,1627,3,435,217,0,1627,1628,3,411,205,0,1628,1629,3,405,202, - 0,1629,1630,3,423,211,0,1630,324,1,0,0,0,1631,1632,3,435,217,0,1632, - 1633,3,413,206,0,1633,1634,3,405,202,0,1634,1635,3,433,216,0,1635, - 326,1,0,0,0,1636,1637,3,435,217,0,1637,1638,3,413,206,0,1638,1639, - 3,421,210,0,1639,1640,3,405,202,0,1640,1641,3,425,212,0,1641,1642, - 3,437,218,0,1642,1643,3,435,217,0,1643,328,1,0,0,0,1644,1645,3,435, - 217,0,1645,1646,3,413,206,0,1646,1647,3,421,210,0,1647,1648,3,405, - 202,0,1648,1649,3,433,216,0,1649,1650,3,435,217,0,1650,1651,3,397, - 198,0,1651,1652,3,421,210,0,1652,1653,3,427,213,0,1653,330,1,0,0, - 0,1654,1655,3,435,217,0,1655,1656,3,425,212,0,1656,332,1,0,0,0,1657, - 1658,3,435,217,0,1658,1659,3,425,212,0,1659,1660,3,427,213,0,1660, - 334,1,0,0,0,1661,1662,3,435,217,0,1662,1663,3,425,212,0,1663,1664, - 3,435,217,0,1664,1665,3,397,198,0,1665,1666,3,419,209,0,1666,1667, - 3,433,216,0,1667,336,1,0,0,0,1668,1669,3,435,217,0,1669,1670,3,431, - 215,0,1670,1671,3,397,198,0,1671,1672,3,413,206,0,1672,1673,3,419, - 209,0,1673,1674,3,413,206,0,1674,1675,3,423,211,0,1675,1676,3,409, - 204,0,1676,338,1,0,0,0,1677,1678,3,435,217,0,1678,1679,3,431,215, - 0,1679,1680,3,413,206,0,1680,1681,3,421,210,0,1681,340,1,0,0,0,1682, - 1683,3,435,217,0,1683,1684,3,431,215,0,1684,1685,3,437,218,0,1685, - 1686,3,423,211,0,1686,1687,3,401,200,0,1687,1688,3,397,198,0,1688, - 1689,3,435,217,0,1689,1690,3,405,202,0,1690,342,1,0,0,0,1691,1692, - 3,435,217,0,1692,1693,3,435,217,0,1693,1694,3,419,209,0,1694,344, - 1,0,0,0,1695,1696,3,435,217,0,1696,1697,3,445,222,0,1697,1698,3, - 427,213,0,1698,1699,3,405,202,0,1699,346,1,0,0,0,1700,1701,3,437, - 218,0,1701,1702,3,423,211,0,1702,1703,3,399,199,0,1703,1704,3,425, - 212,0,1704,1705,3,437,218,0,1705,1706,3,423,211,0,1706,1707,3,403, - 201,0,1707,1708,3,405,202,0,1708,1709,3,403,201,0,1709,348,1,0,0, - 0,1710,1711,3,437,218,0,1711,1712,3,423,211,0,1712,1713,3,413,206, - 0,1713,1714,3,425,212,0,1714,1715,3,423,211,0,1715,350,1,0,0,0,1716, - 1717,3,437,218,0,1717,1718,3,427,213,0,1718,1719,3,403,201,0,1719, - 1720,3,397,198,0,1720,1721,3,435,217,0,1721,1722,3,405,202,0,1722, - 352,1,0,0,0,1723,1724,3,437,218,0,1724,1725,3,433,216,0,1725,1726, - 3,405,202,0,1726,354,1,0,0,0,1727,1728,3,437,218,0,1728,1729,3,433, - 216,0,1729,1730,3,413,206,0,1730,1731,3,423,211,0,1731,1732,3,409, - 204,0,1732,356,1,0,0,0,1733,1734,3,437,218,0,1734,1735,3,437,218, - 0,1735,1736,3,413,206,0,1736,1737,3,403,201,0,1737,358,1,0,0,0,1738, - 1739,3,439,219,0,1739,1740,3,397,198,0,1740,1741,3,419,209,0,1741, - 1742,3,437,218,0,1742,1743,3,405,202,0,1743,1744,3,433,216,0,1744, - 360,1,0,0,0,1745,1746,3,439,219,0,1746,1747,3,413,206,0,1747,1748, - 3,405,202,0,1748,1749,3,441,220,0,1749,362,1,0,0,0,1750,1751,3,439, - 219,0,1751,1752,3,425,212,0,1752,1753,3,419,209,0,1753,1754,3,437, - 218,0,1754,1755,3,421,210,0,1755,1756,3,405,202,0,1756,364,1,0,0, - 0,1757,1758,3,441,220,0,1758,1759,3,397,198,0,1759,1760,3,435,217, - 0,1760,1761,3,401,200,0,1761,1762,3,411,205,0,1762,366,1,0,0,0,1763, - 1764,3,441,220,0,1764,1765,3,405,202,0,1765,1766,3,405,202,0,1766, - 1767,3,417,208,0,1767,368,1,0,0,0,1768,1769,3,441,220,0,1769,1770, - 3,411,205,0,1770,1771,3,405,202,0,1771,1772,3,423,211,0,1772,370, - 1,0,0,0,1773,1774,3,441,220,0,1774,1775,3,411,205,0,1775,1776,3, - 405,202,0,1776,1777,3,431,215,0,1777,1778,3,405,202,0,1778,372,1, - 0,0,0,1779,1780,3,441,220,0,1780,1781,3,413,206,0,1781,1782,3,423, - 211,0,1782,1783,3,403,201,0,1783,1784,3,425,212,0,1784,1785,3,441, - 220,0,1785,374,1,0,0,0,1786,1787,3,441,220,0,1787,1788,3,413,206, - 0,1788,1789,3,435,217,0,1789,1790,3,411,205,0,1790,376,1,0,0,0,1791, - 1792,3,445,222,0,1792,1793,3,405,202,0,1793,1794,3,397,198,0,1794, - 1795,3,431,215,0,1795,1802,1,0,0,0,1796,1797,3,445,222,0,1797,1798, - 3,445,222,0,1798,1799,3,445,222,0,1799,1800,3,445,222,0,1800,1802, - 1,0,0,0,1801,1791,1,0,0,0,1801,1796,1,0,0,0,1802,378,1,0,0,0,1803, - 1804,5,102,0,0,1804,1805,5,97,0,0,1805,1806,5,108,0,0,1806,1807, - 5,115,0,0,1807,1808,5,101,0,0,1808,380,1,0,0,0,1809,1810,5,116,0, - 0,1810,1811,5,114,0,0,1811,1812,5,117,0,0,1812,1813,5,101,0,0,1813, - 382,1,0,0,0,1814,1815,3,463,231,0,1815,1816,3,399,199,0,1816,1845, - 1,0,0,0,1817,1818,3,463,231,0,1818,1819,3,407,203,0,1819,1845,1, - 0,0,0,1820,1821,3,463,231,0,1821,1822,3,431,215,0,1822,1845,1,0, - 0,0,1823,1824,3,463,231,0,1824,1825,3,423,211,0,1825,1845,1,0,0, - 0,1826,1827,3,463,231,0,1827,1828,3,435,217,0,1828,1845,1,0,0,0, - 1829,1830,3,463,231,0,1830,1831,5,48,0,0,1831,1845,1,0,0,0,1832, - 1833,3,463,231,0,1833,1834,3,397,198,0,1834,1845,1,0,0,0,1835,1836, - 3,463,231,0,1836,1837,3,439,219,0,1837,1845,1,0,0,0,1838,1839,3, - 463,231,0,1839,1840,3,463,231,0,1840,1845,1,0,0,0,1841,1842,3,463, - 231,0,1842,1843,3,507,253,0,1843,1845,1,0,0,0,1844,1814,1,0,0,0, - 1844,1817,1,0,0,0,1844,1820,1,0,0,0,1844,1823,1,0,0,0,1844,1826, - 1,0,0,0,1844,1829,1,0,0,0,1844,1832,1,0,0,0,1844,1835,1,0,0,0,1844, - 1838,1,0,0,0,1844,1841,1,0,0,0,1845,384,1,0,0,0,1846,1850,3,449, - 224,0,1847,1850,3,519,259,0,1848,1850,3,473,236,0,1849,1846,1,0, - 0,0,1849,1847,1,0,0,0,1849,1848,1,0,0,0,1850,1857,1,0,0,0,1851,1856, - 3,449,224,0,1852,1856,3,519,259,0,1853,1856,3,453,226,0,1854,1856, - 3,473,236,0,1855,1851,1,0,0,0,1855,1852,1,0,0,0,1855,1853,1,0,0, - 0,1855,1854,1,0,0,0,1856,1859,1,0,0,0,1857,1855,1,0,0,0,1857,1858, - 1,0,0,0,1858,1874,1,0,0,0,1859,1857,1,0,0,0,1860,1868,3,461,230, - 0,1861,1867,8,0,0,0,1862,1867,3,383,191,0,1863,1864,3,461,230,0, - 1864,1865,3,461,230,0,1865,1867,1,0,0,0,1866,1861,1,0,0,0,1866,1862, - 1,0,0,0,1866,1863,1,0,0,0,1867,1870,1,0,0,0,1868,1866,1,0,0,0,1868, - 1869,1,0,0,0,1869,1871,1,0,0,0,1870,1868,1,0,0,0,1871,1872,3,461, - 230,0,1872,1874,1,0,0,0,1873,1849,1,0,0,0,1873,1860,1,0,0,0,1874, - 386,1,0,0,0,1875,1876,3,393,196,0,1876,1880,3,475,237,0,1877,1879, - 3,455,227,0,1878,1877,1,0,0,0,1879,1882,1,0,0,0,1880,1878,1,0,0, - 0,1880,1881,1,0,0,0,1881,1885,1,0,0,0,1882,1880,1,0,0,0,1883,1886, - 3,427,213,0,1884,1886,3,405,202,0,1885,1883,1,0,0,0,1885,1884,1, - 0,0,0,1886,1889,1,0,0,0,1887,1890,3,501,250,0,1888,1890,3,471,235, - 0,1889,1887,1,0,0,0,1889,1888,1,0,0,0,1889,1890,1,0,0,0,1890,1892, - 1,0,0,0,1891,1893,3,453,226,0,1892,1891,1,0,0,0,1893,1894,1,0,0, - 0,1894,1892,1,0,0,0,1894,1895,1,0,0,0,1895,1952,1,0,0,0,1896,1899, - 3,393,196,0,1897,1900,3,427,213,0,1898,1900,3,405,202,0,1899,1897, - 1,0,0,0,1899,1898,1,0,0,0,1900,1903,1,0,0,0,1901,1904,3,501,250, - 0,1902,1904,3,471,235,0,1903,1901,1,0,0,0,1903,1902,1,0,0,0,1903, - 1904,1,0,0,0,1904,1906,1,0,0,0,1905,1907,3,453,226,0,1906,1905,1, - 0,0,0,1907,1908,1,0,0,0,1908,1906,1,0,0,0,1908,1909,1,0,0,0,1909, - 1952,1,0,0,0,1910,1911,3,391,195,0,1911,1915,3,475,237,0,1912,1914, - 3,453,226,0,1913,1912,1,0,0,0,1914,1917,1,0,0,0,1915,1913,1,0,0, - 0,1915,1916,1,0,0,0,1916,1918,1,0,0,0,1917,1915,1,0,0,0,1918,1921, - 3,405,202,0,1919,1922,3,501,250,0,1920,1922,3,471,235,0,1921,1919, - 1,0,0,0,1921,1920,1,0,0,0,1921,1922,1,0,0,0,1922,1924,1,0,0,0,1923, - 1925,3,453,226,0,1924,1923,1,0,0,0,1925,1926,1,0,0,0,1926,1924,1, - 0,0,0,1926,1927,1,0,0,0,1927,1952,1,0,0,0,1928,1929,3,475,237,0, - 1929,1930,3,391,195,0,1930,1933,3,405,202,0,1931,1934,3,501,250, - 0,1932,1934,3,471,235,0,1933,1931,1,0,0,0,1933,1932,1,0,0,0,1933, - 1934,1,0,0,0,1934,1936,1,0,0,0,1935,1937,3,453,226,0,1936,1935,1, - 0,0,0,1937,1938,1,0,0,0,1938,1936,1,0,0,0,1938,1939,1,0,0,0,1939, - 1952,1,0,0,0,1940,1941,3,391,195,0,1941,1944,3,405,202,0,1942,1945, - 3,501,250,0,1943,1945,3,471,235,0,1944,1942,1,0,0,0,1944,1943,1, - 0,0,0,1944,1945,1,0,0,0,1945,1947,1,0,0,0,1946,1948,3,453,226,0, - 1947,1946,1,0,0,0,1948,1949,1,0,0,0,1949,1947,1,0,0,0,1949,1950, - 1,0,0,0,1950,1952,1,0,0,0,1951,1875,1,0,0,0,1951,1896,1,0,0,0,1951, - 1910,1,0,0,0,1951,1928,1,0,0,0,1951,1940,1,0,0,0,1952,388,1,0,0, - 0,1953,1955,5,48,0,0,1954,1956,3,451,225,0,1955,1954,1,0,0,0,1956, - 1957,1,0,0,0,1957,1955,1,0,0,0,1957,1958,1,0,0,0,1958,390,1,0,0, - 0,1959,1961,3,453,226,0,1960,1959,1,0,0,0,1961,1962,1,0,0,0,1962, - 1960,1,0,0,0,1962,1963,1,0,0,0,1963,392,1,0,0,0,1964,1965,5,48,0, - 0,1965,1967,3,443,221,0,1966,1968,3,455,227,0,1967,1966,1,0,0,0, - 1968,1969,1,0,0,0,1969,1967,1,0,0,0,1969,1970,1,0,0,0,1970,394,1, - 0,0,0,1971,1979,3,507,253,0,1972,1978,8,1,0,0,1973,1978,3,383,191, - 0,1974,1975,3,507,253,0,1975,1976,3,507,253,0,1976,1978,1,0,0,0, - 1977,1972,1,0,0,0,1977,1973,1,0,0,0,1977,1974,1,0,0,0,1978,1981, - 1,0,0,0,1979,1977,1,0,0,0,1979,1980,1,0,0,0,1980,1982,1,0,0,0,1981, - 1979,1,0,0,0,1982,1983,3,507,253,0,1983,1998,1,0,0,0,1984,1992,3, - 505,252,0,1985,1991,8,2,0,0,1986,1991,3,383,191,0,1987,1988,3,505, - 252,0,1988,1989,3,505,252,0,1989,1991,1,0,0,0,1990,1985,1,0,0,0, - 1990,1986,1,0,0,0,1990,1987,1,0,0,0,1991,1994,1,0,0,0,1992,1990, - 1,0,0,0,1992,1993,1,0,0,0,1993,1995,1,0,0,0,1994,1992,1,0,0,0,1995, - 1996,3,505,252,0,1996,1998,1,0,0,0,1997,1971,1,0,0,0,1997,1984,1, - 0,0,0,1998,396,1,0,0,0,1999,2000,7,3,0,0,2000,398,1,0,0,0,2001,2002, - 7,4,0,0,2002,400,1,0,0,0,2003,2004,7,5,0,0,2004,402,1,0,0,0,2005, - 2006,7,6,0,0,2006,404,1,0,0,0,2007,2008,7,7,0,0,2008,406,1,0,0,0, - 2009,2010,7,8,0,0,2010,408,1,0,0,0,2011,2012,7,9,0,0,2012,410,1, - 0,0,0,2013,2014,7,10,0,0,2014,412,1,0,0,0,2015,2016,7,11,0,0,2016, - 414,1,0,0,0,2017,2018,7,12,0,0,2018,416,1,0,0,0,2019,2020,7,13,0, - 0,2020,418,1,0,0,0,2021,2022,7,14,0,0,2022,420,1,0,0,0,2023,2024, - 7,15,0,0,2024,422,1,0,0,0,2025,2026,7,16,0,0,2026,424,1,0,0,0,2027, - 2028,7,17,0,0,2028,426,1,0,0,0,2029,2030,7,18,0,0,2030,428,1,0,0, - 0,2031,2032,7,19,0,0,2032,430,1,0,0,0,2033,2034,7,20,0,0,2034,432, - 1,0,0,0,2035,2036,7,21,0,0,2036,434,1,0,0,0,2037,2038,7,22,0,0,2038, - 436,1,0,0,0,2039,2040,7,23,0,0,2040,438,1,0,0,0,2041,2042,7,24,0, - 0,2042,440,1,0,0,0,2043,2044,7,25,0,0,2044,442,1,0,0,0,2045,2046, - 7,26,0,0,2046,444,1,0,0,0,2047,2048,7,27,0,0,2048,446,1,0,0,0,2049, - 2050,7,28,0,0,2050,448,1,0,0,0,2051,2052,7,29,0,0,2052,450,1,0,0, - 0,2053,2054,7,30,0,0,2054,452,1,0,0,0,2055,2056,7,31,0,0,2056,454, - 1,0,0,0,2057,2058,7,32,0,0,2058,456,1,0,0,0,2059,2060,5,45,0,0,2060, - 2061,5,62,0,0,2061,458,1,0,0,0,2062,2063,5,42,0,0,2063,460,1,0,0, - 0,2064,2065,5,96,0,0,2065,462,1,0,0,0,2066,2067,5,92,0,0,2067,464, - 1,0,0,0,2068,2069,5,58,0,0,2069,466,1,0,0,0,2070,2071,5,44,0,0,2071, - 468,1,0,0,0,2072,2073,5,124,0,0,2073,2074,5,124,0,0,2074,470,1,0, - 0,0,2075,2076,5,45,0,0,2076,472,1,0,0,0,2077,2078,5,36,0,0,2078, - 474,1,0,0,0,2079,2080,5,46,0,0,2080,476,1,0,0,0,2081,2082,5,61,0, - 0,2082,2083,5,61,0,0,2083,478,1,0,0,0,2084,2085,5,61,0,0,2085,480, - 1,0,0,0,2086,2087,5,62,0,0,2087,2088,5,61,0,0,2088,482,1,0,0,0,2089, - 2090,5,62,0,0,2090,484,1,0,0,0,2091,2092,5,35,0,0,2092,486,1,0,0, - 0,2093,2094,5,123,0,0,2094,488,1,0,0,0,2095,2096,5,91,0,0,2096,490, - 1,0,0,0,2097,2098,5,60,0,0,2098,2099,5,61,0,0,2099,492,1,0,0,0,2100, - 2101,5,40,0,0,2101,494,1,0,0,0,2102,2103,5,60,0,0,2103,496,1,0,0, - 0,2104,2105,5,33,0,0,2105,2109,5,61,0,0,2106,2107,5,60,0,0,2107, - 2109,5,62,0,0,2108,2104,1,0,0,0,2108,2106,1,0,0,0,2109,498,1,0,0, - 0,2110,2111,5,37,0,0,2111,500,1,0,0,0,2112,2113,5,43,0,0,2113,502, - 1,0,0,0,2114,2115,5,63,0,0,2115,504,1,0,0,0,2116,2117,5,34,0,0,2117, - 506,1,0,0,0,2118,2119,5,39,0,0,2119,508,1,0,0,0,2120,2121,5,125, - 0,0,2121,510,1,0,0,0,2122,2123,5,93,0,0,2123,512,1,0,0,0,2124,2125, - 5,41,0,0,2125,514,1,0,0,0,2126,2127,5,59,0,0,2127,516,1,0,0,0,2128, - 2129,5,47,0,0,2129,518,1,0,0,0,2130,2131,5,95,0,0,2131,520,1,0,0, - 0,2132,2133,5,47,0,0,2133,2134,5,42,0,0,2134,2138,1,0,0,0,2135,2137, - 9,0,0,0,2136,2135,1,0,0,0,2137,2140,1,0,0,0,2138,2139,1,0,0,0,2138, - 2136,1,0,0,0,2139,2141,1,0,0,0,2140,2138,1,0,0,0,2141,2142,5,42, - 0,0,2142,2143,5,47,0,0,2143,2144,1,0,0,0,2144,2145,6,260,0,0,2145, - 522,1,0,0,0,2146,2147,5,45,0,0,2147,2148,5,45,0,0,2148,2152,1,0, - 0,0,2149,2151,8,33,0,0,2150,2149,1,0,0,0,2151,2154,1,0,0,0,2152, - 2150,1,0,0,0,2152,2153,1,0,0,0,2153,2156,1,0,0,0,2154,2152,1,0,0, - 0,2155,2157,7,34,0,0,2156,2155,1,0,0,0,2157,2158,1,0,0,0,2158,2159, - 6,261,0,0,2159,524,1,0,0,0,2160,2161,7,35,0,0,2161,2162,1,0,0,0, - 2162,2163,6,262,0,0,2163,526,1,0,0,0,38,0,589,1087,1801,1844,1849, - 1855,1857,1866,1868,1873,1880,1885,1889,1894,1899,1903,1908,1915, - 1921,1926,1933,1938,1944,1949,1951,1957,1962,1969,1977,1979,1990, - 1992,1997,2108,2138,2152,2156,1,6,0,0 + 1,197,1,197,1,198,1,198,1,199,1,199,1,200,1,200,1,201,1,201,1,202, + 1,202,1,203,1,203,1,204,1,204,1,205,1,205,1,206,1,206,1,207,1,207, + 1,208,1,208,1,209,1,209,1,210,1,210,1,211,1,211,1,212,1,212,1,213, + 1,213,1,214,1,214,1,215,1,215,1,216,1,216,1,217,1,217,1,218,1,218, + 1,219,1,219,1,220,1,220,1,221,1,221,1,222,1,222,1,223,1,223,1,224, + 1,224,1,225,1,225,1,226,1,226,1,227,1,227,1,228,1,228,1,228,1,229, + 1,229,1,230,1,230,1,231,1,231,1,232,1,232,1,233,1,233,1,234,1,234, + 1,234,1,235,1,235,1,236,1,236,1,237,1,237,1,238,1,238,1,238,1,239, + 1,239,1,240,1,240,1,240,1,241,1,241,1,242,1,242,1,243,1,243,1,244, + 1,244,1,245,1,245,1,245,1,246,1,246,1,247,1,247,1,248,1,248,1,248, + 1,248,3,248,2107,8,248,1,249,1,249,1,250,1,250,1,251,1,251,1,252, + 1,252,1,253,1,253,1,254,1,254,1,255,1,255,1,256,1,256,1,257,1,257, + 1,258,1,258,1,259,1,259,1,260,1,260,1,260,1,260,5,260,2135,8,260, + 10,260,12,260,2138,9,260,1,260,1,260,1,260,1,260,1,260,1,261,1,261, + 1,261,1,261,5,261,2149,8,261,10,261,12,261,2152,9,261,1,261,3,261, + 2155,8,261,1,261,1,261,1,262,1,262,1,262,1,262,1,2136,0,263,1,1, + 3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14, + 29,15,31,16,33,17,35,18,37,19,39,20,41,21,43,22,45,23,47,24,49,25, + 51,26,53,27,55,28,57,29,59,30,61,31,63,32,65,33,67,34,69,35,71,36, + 73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,44,89,45,91,46,93,47, + 95,48,97,49,99,50,101,51,103,52,105,53,107,54,109,55,111,56,113, + 57,115,58,117,59,119,60,121,61,123,62,125,63,127,64,129,65,131,66, + 133,67,135,68,137,69,139,70,141,71,143,72,145,73,147,74,149,75,151, + 76,153,77,155,78,157,79,159,80,161,81,163,82,165,83,167,84,169,85, + 171,86,173,87,175,88,177,89,179,90,181,91,183,92,185,93,187,94,189, + 95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205,103,207, + 104,209,105,211,106,213,107,215,108,217,109,219,110,221,111,223, + 112,225,113,227,114,229,115,231,116,233,117,235,118,237,119,239, + 120,241,121,243,122,245,123,247,124,249,125,251,126,253,127,255, + 128,257,129,259,130,261,131,263,132,265,133,267,134,269,135,271, + 136,273,137,275,138,277,139,279,140,281,141,283,142,285,143,287, + 144,289,145,291,146,293,147,295,148,297,149,299,150,301,151,303, + 152,305,153,307,154,309,155,311,156,313,157,315,158,317,159,319, + 160,321,161,323,162,325,163,327,164,329,165,331,166,333,167,335, + 168,337,169,339,170,341,171,343,172,345,173,347,174,349,175,351, + 176,353,177,355,178,357,179,359,180,361,181,363,182,365,183,367, + 184,369,185,371,186,373,187,375,188,377,189,379,190,381,191,383, + 192,385,193,387,194,389,195,391,196,393,197,395,198,397,0,399,0, + 401,0,403,0,405,0,407,0,409,0,411,0,413,0,415,0,417,0,419,0,421, + 0,423,0,425,0,427,0,429,0,431,0,433,0,435,0,437,0,439,0,441,0,443, + 0,445,0,447,0,449,0,451,0,453,0,455,0,457,199,459,200,461,201,463, + 202,465,203,467,204,469,205,471,206,473,207,475,208,477,209,479, + 210,481,211,483,212,485,213,487,214,489,215,491,216,493,217,495, + 218,497,219,499,220,501,221,503,222,505,223,507,224,509,225,511, + 226,513,227,515,228,517,229,519,230,521,231,523,232,525,233,1,0, + 36,2,0,92,92,96,96,2,0,34,34,92,92,2,0,39,39,92,92,2,0,65,65,97, + 97,2,0,66,66,98,98,2,0,67,67,99,99,2,0,68,68,100,100,2,0,69,69,101, + 101,2,0,70,70,102,102,2,0,71,71,103,103,2,0,72,72,104,104,2,0,73, + 73,105,105,2,0,74,74,106,106,2,0,75,75,107,107,2,0,76,76,108,108, + 2,0,77,77,109,109,2,0,78,78,110,110,2,0,79,79,111,111,2,0,80,80, + 112,112,2,0,81,81,113,113,2,0,82,82,114,114,2,0,83,83,115,115,2, + 0,84,84,116,116,2,0,85,85,117,117,2,0,86,86,118,118,2,0,87,87,119, + 119,2,0,88,88,120,120,2,0,89,89,121,121,2,0,90,90,122,122,2,0,65, + 90,97,122,1,0,48,55,1,0,48,57,3,0,48,57,65,70,97,102,2,0,10,10,13, + 13,2,1,10,10,13,13,2,0,9,13,32,32,2189,0,1,1,0,0,0,0,3,1,0,0,0,0, + 5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15, + 1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25, + 1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35, + 1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45, + 1,0,0,0,0,47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55, + 1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65, + 1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75, + 1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85, + 1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0,0,95, + 1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0, + 105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0,0,113,1,0, + 0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0,0,123, + 1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0,0,0, + 0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1, + 0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0, + 151,1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0, + 0,0,0,161,1,0,0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169, + 1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0, + 0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1, + 0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193,1,0,0,0,0,195,1,0,0,0,0, + 197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0,0,205,1,0, + 0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0,0,215, + 1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0,223,1,0,0,0, + 0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0,233,1, + 0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0,0,0,0, + 243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0, + 0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261, + 1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0, + 0,271,1,0,0,0,0,273,1,0,0,0,0,275,1,0,0,0,0,277,1,0,0,0,0,279,1, + 0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287,1,0,0,0,0, + 289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297,1,0, + 0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1,0,0,0,0,305,1,0,0,0,0,307, + 1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0,315,1,0,0,0, + 0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0,0,0,0,323,1,0,0,0,0,325,1, + 0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333,1,0,0,0,0, + 335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0,0,343,1,0, + 0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1,0,0,0,0,351,1,0,0,0,0,353, + 1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361,1,0,0,0, + 0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0,371,1, + 0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0,0,0,0, + 381,1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0,0,387,1,0,0,0,0,389,1,0, + 0,0,0,391,1,0,0,0,0,393,1,0,0,0,0,395,1,0,0,0,0,457,1,0,0,0,0,459, + 1,0,0,0,0,461,1,0,0,0,0,463,1,0,0,0,0,465,1,0,0,0,0,467,1,0,0,0, + 0,469,1,0,0,0,0,471,1,0,0,0,0,473,1,0,0,0,0,475,1,0,0,0,0,477,1, + 0,0,0,0,479,1,0,0,0,0,481,1,0,0,0,0,483,1,0,0,0,0,485,1,0,0,0,0, + 487,1,0,0,0,0,489,1,0,0,0,0,491,1,0,0,0,0,493,1,0,0,0,0,495,1,0, + 0,0,0,497,1,0,0,0,0,499,1,0,0,0,0,501,1,0,0,0,0,503,1,0,0,0,0,505, + 1,0,0,0,0,507,1,0,0,0,0,509,1,0,0,0,0,511,1,0,0,0,0,513,1,0,0,0, + 0,515,1,0,0,0,0,517,1,0,0,0,0,519,1,0,0,0,0,521,1,0,0,0,0,523,1, + 0,0,0,0,525,1,0,0,0,1,527,1,0,0,0,3,531,1,0,0,0,5,537,1,0,0,0,7, + 543,1,0,0,0,9,547,1,0,0,0,11,553,1,0,0,0,13,557,1,0,0,0,15,562,1, + 0,0,0,17,566,1,0,0,0,19,572,1,0,0,0,21,589,1,0,0,0,23,591,1,0,0, + 0,25,596,1,0,0,0,27,600,1,0,0,0,29,606,1,0,0,0,31,613,1,0,0,0,33, + 621,1,0,0,0,35,626,1,0,0,0,37,629,1,0,0,0,39,634,1,0,0,0,41,639, + 1,0,0,0,43,645,1,0,0,0,45,651,1,0,0,0,47,659,1,0,0,0,49,665,1,0, + 0,0,51,673,1,0,0,0,53,680,1,0,0,0,55,688,1,0,0,0,57,699,1,0,0,0, + 59,706,1,0,0,0,61,712,1,0,0,0,63,717,1,0,0,0,65,725,1,0,0,0,67,734, + 1,0,0,0,69,744,1,0,0,0,71,749,1,0,0,0,73,753,1,0,0,0,75,765,1,0, + 0,0,77,773,1,0,0,0,79,779,1,0,0,0,81,786,1,0,0,0,83,791,1,0,0,0, + 85,802,1,0,0,0,87,811,1,0,0,0,89,818,1,0,0,0,91,831,1,0,0,0,93,842, + 1,0,0,0,95,847,1,0,0,0,97,856,1,0,0,0,99,868,1,0,0,0,101,873,1,0, + 0,0,103,878,1,0,0,0,105,882,1,0,0,0,107,889,1,0,0,0,109,896,1,0, + 0,0,111,903,1,0,0,0,113,911,1,0,0,0,115,922,1,0,0,0,117,930,1,0, + 0,0,119,938,1,0,0,0,121,944,1,0,0,0,123,950,1,0,0,0,125,956,1,0, + 0,0,127,966,1,0,0,0,129,970,1,0,0,0,131,977,1,0,0,0,133,984,1,0, + 0,0,135,989,1,0,0,0,137,994,1,0,0,0,139,1003,1,0,0,0,141,1010,1, + 0,0,0,143,1022,1,0,0,0,145,1028,1,0,0,0,147,1035,1,0,0,0,149,1048, + 1,0,0,0,151,1053,1,0,0,0,153,1056,1,0,0,0,155,1059,1,0,0,0,157,1065, + 1,0,0,0,159,1068,1,0,0,0,161,1087,1,0,0,0,163,1089,1,0,0,0,165,1099, + 1,0,0,0,167,1105,1,0,0,0,169,1112,1,0,0,0,171,1121,1,0,0,0,173,1126, + 1,0,0,0,175,1129,1,0,0,0,177,1142,1,0,0,0,179,1147,1,0,0,0,181,1151, + 1,0,0,0,183,1156,1,0,0,0,185,1161,1,0,0,0,187,1168,1,0,0,0,189,1176, + 1,0,0,0,191,1181,1,0,0,0,193,1190,1,0,0,0,195,1195,1,0,0,0,197,1201, + 1,0,0,0,199,1206,1,0,0,0,201,1212,1,0,0,0,203,1217,1,0,0,0,205,1229, + 1,0,0,0,207,1242,1,0,0,0,209,1246,1,0,0,0,211,1253,1,0,0,0,213,1257, + 1,0,0,0,215,1264,1,0,0,0,217,1271,1,0,0,0,219,1277,1,0,0,0,221,1282, + 1,0,0,0,223,1291,1,0,0,0,225,1295,1,0,0,0,227,1298,1,0,0,0,229,1302, + 1,0,0,0,231,1307,1,0,0,0,233,1313,1,0,0,0,235,1320,1,0,0,0,237,1323, + 1,0,0,0,239,1332,1,0,0,0,241,1335,1,0,0,0,243,1341,1,0,0,0,245,1347, + 1,0,0,0,247,1355,1,0,0,0,249,1360,1,0,0,0,251,1370,1,0,0,0,253,1379, + 1,0,0,0,255,1389,1,0,0,0,257,1398,1,0,0,0,259,1406,1,0,0,0,261,1417, + 1,0,0,0,263,1425,1,0,0,0,265,1431,1,0,0,0,267,1438,1,0,0,0,269,1445, + 1,0,0,0,271,1452,1,0,0,0,273,1460,1,0,0,0,275,1468,1,0,0,0,277,1479, + 1,0,0,0,279,1485,1,0,0,0,281,1492,1,0,0,0,283,1496,1,0,0,0,285,1501, + 1,0,0,0,287,1508,1,0,0,0,289,1515,1,0,0,0,291,1522,1,0,0,0,293,1527, + 1,0,0,0,295,1533,1,0,0,0,297,1537,1,0,0,0,299,1546,1,0,0,0,301,1551, + 1,0,0,0,303,1558,1,0,0,0,305,1564,1,0,0,0,307,1569,1,0,0,0,309,1579, + 1,0,0,0,311,1584,1,0,0,0,313,1591,1,0,0,0,315,1598,1,0,0,0,317,1604, + 1,0,0,0,319,1611,1,0,0,0,321,1621,1,0,0,0,323,1626,1,0,0,0,325,1631, + 1,0,0,0,327,1636,1,0,0,0,329,1644,1,0,0,0,331,1654,1,0,0,0,333,1657, + 1,0,0,0,335,1661,1,0,0,0,337,1668,1,0,0,0,339,1677,1,0,0,0,341,1682, + 1,0,0,0,343,1691,1,0,0,0,345,1695,1,0,0,0,347,1700,1,0,0,0,349,1710, + 1,0,0,0,351,1716,1,0,0,0,353,1723,1,0,0,0,355,1727,1,0,0,0,357,1733, + 1,0,0,0,359,1738,1,0,0,0,361,1745,1,0,0,0,363,1750,1,0,0,0,365,1757, + 1,0,0,0,367,1763,1,0,0,0,369,1768,1,0,0,0,371,1773,1,0,0,0,373,1779, + 1,0,0,0,375,1786,1,0,0,0,377,1801,1,0,0,0,379,1803,1,0,0,0,381,1809, + 1,0,0,0,383,1844,1,0,0,0,385,1886,1,0,0,0,387,1964,1,0,0,0,389,1966, + 1,0,0,0,391,1973,1,0,0,0,393,1977,1,0,0,0,395,1984,1,0,0,0,397,1997, + 1,0,0,0,399,1999,1,0,0,0,401,2001,1,0,0,0,403,2003,1,0,0,0,405,2005, + 1,0,0,0,407,2007,1,0,0,0,409,2009,1,0,0,0,411,2011,1,0,0,0,413,2013, + 1,0,0,0,415,2015,1,0,0,0,417,2017,1,0,0,0,419,2019,1,0,0,0,421,2021, + 1,0,0,0,423,2023,1,0,0,0,425,2025,1,0,0,0,427,2027,1,0,0,0,429,2029, + 1,0,0,0,431,2031,1,0,0,0,433,2033,1,0,0,0,435,2035,1,0,0,0,437,2037, + 1,0,0,0,439,2039,1,0,0,0,441,2041,1,0,0,0,443,2043,1,0,0,0,445,2045, + 1,0,0,0,447,2047,1,0,0,0,449,2049,1,0,0,0,451,2051,1,0,0,0,453,2053, + 1,0,0,0,455,2055,1,0,0,0,457,2057,1,0,0,0,459,2060,1,0,0,0,461,2062, + 1,0,0,0,463,2064,1,0,0,0,465,2066,1,0,0,0,467,2068,1,0,0,0,469,2070, + 1,0,0,0,471,2073,1,0,0,0,473,2075,1,0,0,0,475,2077,1,0,0,0,477,2079, + 1,0,0,0,479,2082,1,0,0,0,481,2084,1,0,0,0,483,2087,1,0,0,0,485,2089, + 1,0,0,0,487,2091,1,0,0,0,489,2093,1,0,0,0,491,2095,1,0,0,0,493,2098, + 1,0,0,0,495,2100,1,0,0,0,497,2106,1,0,0,0,499,2108,1,0,0,0,501,2110, + 1,0,0,0,503,2112,1,0,0,0,505,2114,1,0,0,0,507,2116,1,0,0,0,509,2118, + 1,0,0,0,511,2120,1,0,0,0,513,2122,1,0,0,0,515,2124,1,0,0,0,517,2126, + 1,0,0,0,519,2128,1,0,0,0,521,2130,1,0,0,0,523,2144,1,0,0,0,525,2158, + 1,0,0,0,527,528,3,397,198,0,528,529,3,403,201,0,529,530,3,403,201, + 0,530,2,1,0,0,0,531,532,3,397,198,0,532,533,3,407,203,0,533,534, + 3,435,217,0,534,535,3,405,202,0,535,536,3,431,215,0,536,4,1,0,0, + 0,537,538,3,397,198,0,538,539,3,419,209,0,539,540,3,413,206,0,540, + 541,3,397,198,0,541,542,3,433,216,0,542,6,1,0,0,0,543,544,3,397, + 198,0,544,545,3,419,209,0,545,546,3,419,209,0,546,8,1,0,0,0,547, + 548,3,397,198,0,548,549,3,419,209,0,549,550,3,435,217,0,550,551, + 3,405,202,0,551,552,3,431,215,0,552,10,1,0,0,0,553,554,3,397,198, + 0,554,555,3,423,211,0,555,556,3,403,201,0,556,12,1,0,0,0,557,558, + 3,397,198,0,558,559,3,423,211,0,559,560,3,435,217,0,560,561,3,413, + 206,0,561,14,1,0,0,0,562,563,3,397,198,0,563,564,3,423,211,0,564, + 565,3,445,222,0,565,16,1,0,0,0,566,567,3,397,198,0,567,568,3,431, + 215,0,568,569,3,431,215,0,569,570,3,397,198,0,570,571,3,445,222, + 0,571,18,1,0,0,0,572,573,3,397,198,0,573,574,3,433,216,0,574,20, + 1,0,0,0,575,576,3,397,198,0,576,577,3,433,216,0,577,578,3,401,200, + 0,578,590,1,0,0,0,579,580,3,397,198,0,580,581,3,433,216,0,581,582, + 3,401,200,0,582,583,3,405,202,0,583,584,3,423,211,0,584,585,3,403, + 201,0,585,586,3,413,206,0,586,587,3,423,211,0,587,588,3,409,204, + 0,588,590,1,0,0,0,589,575,1,0,0,0,589,579,1,0,0,0,590,22,1,0,0,0, + 591,592,3,397,198,0,592,593,3,433,216,0,593,594,3,425,212,0,594, + 595,3,407,203,0,595,24,1,0,0,0,596,597,3,397,198,0,597,598,3,433, + 216,0,598,599,3,435,217,0,599,26,1,0,0,0,600,601,3,397,198,0,601, + 602,3,433,216,0,602,603,3,445,222,0,603,604,3,423,211,0,604,605, + 3,401,200,0,605,28,1,0,0,0,606,607,3,397,198,0,607,608,3,435,217, + 0,608,609,3,435,217,0,609,610,3,397,198,0,610,611,3,401,200,0,611, + 612,3,411,205,0,612,30,1,0,0,0,613,614,3,399,199,0,614,615,3,405, + 202,0,615,616,3,435,217,0,616,617,3,441,220,0,617,618,3,405,202, + 0,618,619,3,405,202,0,619,620,3,423,211,0,620,32,1,0,0,0,621,622, + 3,399,199,0,622,623,3,425,212,0,623,624,3,435,217,0,624,625,3,411, + 205,0,625,34,1,0,0,0,626,627,3,399,199,0,627,628,3,445,222,0,628, + 36,1,0,0,0,629,630,3,401,200,0,630,631,3,397,198,0,631,632,3,433, + 216,0,632,633,3,405,202,0,633,38,1,0,0,0,634,635,3,401,200,0,635, + 636,3,397,198,0,636,637,3,433,216,0,637,638,3,435,217,0,638,40,1, + 0,0,0,639,640,3,401,200,0,640,641,3,411,205,0,641,642,3,405,202, + 0,642,643,3,401,200,0,643,644,3,417,208,0,644,42,1,0,0,0,645,646, + 3,401,200,0,646,647,3,419,209,0,647,648,3,405,202,0,648,649,3,397, + 198,0,649,650,3,431,215,0,650,44,1,0,0,0,651,652,3,401,200,0,652, + 653,3,419,209,0,653,654,3,437,218,0,654,655,3,433,216,0,655,656, + 3,435,217,0,656,657,3,405,202,0,657,658,3,431,215,0,658,46,1,0,0, + 0,659,660,3,401,200,0,660,661,3,425,212,0,661,662,3,403,201,0,662, + 663,3,405,202,0,663,664,3,401,200,0,664,48,1,0,0,0,665,666,3,401, + 200,0,666,667,3,425,212,0,667,668,3,419,209,0,668,669,3,419,209, + 0,669,670,3,397,198,0,670,671,3,435,217,0,671,672,3,405,202,0,672, + 50,1,0,0,0,673,674,3,401,200,0,674,675,3,425,212,0,675,676,3,419, + 209,0,676,677,3,437,218,0,677,678,3,421,210,0,678,679,3,423,211, + 0,679,52,1,0,0,0,680,681,3,401,200,0,681,682,3,425,212,0,682,683, + 3,421,210,0,683,684,3,421,210,0,684,685,3,405,202,0,685,686,3,423, + 211,0,686,687,3,435,217,0,687,54,1,0,0,0,688,689,3,401,200,0,689, + 690,3,425,212,0,690,691,3,423,211,0,691,692,3,433,216,0,692,693, + 3,435,217,0,693,694,3,431,215,0,694,695,3,397,198,0,695,696,3,413, + 206,0,696,697,3,423,211,0,697,698,3,435,217,0,698,56,1,0,0,0,699, + 700,3,401,200,0,700,701,3,431,215,0,701,702,3,405,202,0,702,703, + 3,397,198,0,703,704,3,435,217,0,704,705,3,405,202,0,705,58,1,0,0, + 0,706,707,3,401,200,0,707,708,3,431,215,0,708,709,3,425,212,0,709, + 710,3,433,216,0,710,711,3,433,216,0,711,60,1,0,0,0,712,713,3,401, + 200,0,713,714,3,437,218,0,714,715,3,399,199,0,715,716,3,405,202, + 0,716,62,1,0,0,0,717,718,3,401,200,0,718,719,3,437,218,0,719,720, + 3,431,215,0,720,721,3,431,215,0,721,722,3,405,202,0,722,723,3,423, + 211,0,723,724,3,435,217,0,724,64,1,0,0,0,725,726,3,403,201,0,726, + 727,3,397,198,0,727,728,3,435,217,0,728,729,3,397,198,0,729,730, + 3,399,199,0,730,731,3,397,198,0,731,732,3,433,216,0,732,733,3,405, + 202,0,733,66,1,0,0,0,734,735,3,403,201,0,735,736,3,397,198,0,736, + 737,3,435,217,0,737,738,3,397,198,0,738,739,3,399,199,0,739,740, + 3,397,198,0,740,741,3,433,216,0,741,742,3,405,202,0,742,743,3,433, + 216,0,743,68,1,0,0,0,744,745,3,403,201,0,745,746,3,397,198,0,746, + 747,3,435,217,0,747,748,3,405,202,0,748,70,1,0,0,0,749,750,3,403, + 201,0,750,751,3,397,198,0,751,752,3,445,222,0,752,72,1,0,0,0,753, + 754,3,403,201,0,754,755,3,405,202,0,755,756,3,403,201,0,756,757, + 3,437,218,0,757,758,3,427,213,0,758,759,3,419,209,0,759,760,3,413, + 206,0,760,761,3,401,200,0,761,762,3,397,198,0,762,763,3,435,217, + 0,763,764,3,405,202,0,764,74,1,0,0,0,765,766,3,403,201,0,766,767, + 3,405,202,0,767,768,3,407,203,0,768,769,3,397,198,0,769,770,3,437, + 218,0,770,771,3,419,209,0,771,772,3,435,217,0,772,76,1,0,0,0,773, + 774,3,403,201,0,774,775,3,405,202,0,775,776,3,419,209,0,776,777, + 3,397,198,0,777,778,3,445,222,0,778,78,1,0,0,0,779,780,3,403,201, + 0,780,781,3,405,202,0,781,782,3,419,209,0,782,783,3,405,202,0,783, + 784,3,435,217,0,784,785,3,405,202,0,785,80,1,0,0,0,786,787,3,403, + 201,0,787,788,3,405,202,0,788,789,3,433,216,0,789,790,3,401,200, + 0,790,82,1,0,0,0,791,792,3,403,201,0,792,793,3,405,202,0,793,794, + 3,433,216,0,794,795,3,401,200,0,795,796,3,405,202,0,796,797,3,423, + 211,0,797,798,3,403,201,0,798,799,3,413,206,0,799,800,3,423,211, + 0,800,801,3,409,204,0,801,84,1,0,0,0,802,803,3,403,201,0,803,804, + 3,405,202,0,804,805,3,433,216,0,805,806,3,401,200,0,806,807,3,431, + 215,0,807,808,3,413,206,0,808,809,3,399,199,0,809,810,3,405,202, + 0,810,86,1,0,0,0,811,812,3,403,201,0,812,813,3,405,202,0,813,814, + 3,435,217,0,814,815,3,397,198,0,815,816,3,401,200,0,816,817,3,411, + 205,0,817,88,1,0,0,0,818,819,3,403,201,0,819,820,3,413,206,0,820, + 821,3,401,200,0,821,822,3,435,217,0,822,823,3,413,206,0,823,824, + 3,425,212,0,824,825,3,423,211,0,825,826,3,397,198,0,826,827,3,431, + 215,0,827,828,3,413,206,0,828,829,3,405,202,0,829,830,3,433,216, + 0,830,90,1,0,0,0,831,832,3,403,201,0,832,833,3,413,206,0,833,834, + 3,401,200,0,834,835,3,435,217,0,835,836,3,413,206,0,836,837,3,425, + 212,0,837,838,3,423,211,0,838,839,3,397,198,0,839,840,3,431,215, + 0,840,841,3,445,222,0,841,92,1,0,0,0,842,843,3,403,201,0,843,844, + 3,413,206,0,844,845,3,433,216,0,845,846,3,417,208,0,846,94,1,0,0, + 0,847,848,3,403,201,0,848,849,3,413,206,0,849,850,3,433,216,0,850, + 851,3,435,217,0,851,852,3,413,206,0,852,853,3,423,211,0,853,854, + 3,401,200,0,854,855,3,435,217,0,855,96,1,0,0,0,856,857,3,403,201, + 0,857,858,3,413,206,0,858,859,3,433,216,0,859,860,3,435,217,0,860, + 861,3,431,215,0,861,862,3,413,206,0,862,863,3,399,199,0,863,864, + 3,437,218,0,864,865,3,435,217,0,865,866,3,405,202,0,866,867,3,403, + 201,0,867,98,1,0,0,0,868,869,3,403,201,0,869,870,3,431,215,0,870, + 871,3,425,212,0,871,872,3,427,213,0,872,100,1,0,0,0,873,874,3,405, + 202,0,874,875,3,419,209,0,875,876,3,433,216,0,876,877,3,405,202, + 0,877,102,1,0,0,0,878,879,3,405,202,0,879,880,3,423,211,0,880,881, + 3,403,201,0,881,104,1,0,0,0,882,883,3,405,202,0,883,884,3,423,211, + 0,884,885,3,409,204,0,885,886,3,413,206,0,886,887,3,423,211,0,887, + 888,3,405,202,0,888,106,1,0,0,0,889,890,3,405,202,0,890,891,3,439, + 219,0,891,892,3,405,202,0,892,893,3,423,211,0,893,894,3,435,217, + 0,894,895,3,433,216,0,895,108,1,0,0,0,896,897,3,405,202,0,897,898, + 3,443,221,0,898,899,3,413,206,0,899,900,3,433,216,0,900,901,3,435, + 217,0,901,902,3,433,216,0,902,110,1,0,0,0,903,904,3,405,202,0,904, + 905,3,443,221,0,905,906,3,427,213,0,906,907,3,419,209,0,907,908, + 3,397,198,0,908,909,3,413,206,0,909,910,3,423,211,0,910,112,1,0, + 0,0,911,912,3,405,202,0,912,913,3,443,221,0,913,914,3,427,213,0, + 914,915,3,431,215,0,915,916,3,405,202,0,916,917,3,433,216,0,917, + 918,3,433,216,0,918,919,3,413,206,0,919,920,3,425,212,0,920,921, + 3,423,211,0,921,114,1,0,0,0,922,923,3,405,202,0,923,924,3,443,221, + 0,924,925,3,435,217,0,925,926,3,431,215,0,926,927,3,397,198,0,927, + 928,3,401,200,0,928,929,3,435,217,0,929,116,1,0,0,0,930,931,3,407, + 203,0,931,932,3,405,202,0,932,933,3,435,217,0,933,934,3,401,200, + 0,934,935,3,411,205,0,935,936,3,405,202,0,936,937,3,433,216,0,937, + 118,1,0,0,0,938,939,3,407,203,0,939,940,3,413,206,0,940,941,3,423, + 211,0,941,942,3,397,198,0,942,943,3,419,209,0,943,120,1,0,0,0,944, + 945,3,407,203,0,945,946,3,413,206,0,946,947,3,431,215,0,947,948, + 3,433,216,0,948,949,3,435,217,0,949,122,1,0,0,0,950,951,3,407,203, + 0,951,952,3,419,209,0,952,953,3,437,218,0,953,954,3,433,216,0,954, + 955,3,411,205,0,955,124,1,0,0,0,956,957,3,407,203,0,957,958,3,425, + 212,0,958,959,3,419,209,0,959,960,3,419,209,0,960,961,3,425,212, + 0,961,962,3,441,220,0,962,963,3,413,206,0,963,964,3,423,211,0,964, + 965,3,409,204,0,965,126,1,0,0,0,966,967,3,407,203,0,967,968,3,425, + 212,0,968,969,3,431,215,0,969,128,1,0,0,0,970,971,3,407,203,0,971, + 972,3,425,212,0,972,973,3,431,215,0,973,974,3,421,210,0,974,975, + 3,397,198,0,975,976,3,435,217,0,976,130,1,0,0,0,977,978,3,407,203, + 0,978,979,3,431,215,0,979,980,3,405,202,0,980,981,3,405,202,0,981, + 982,3,447,223,0,982,983,3,405,202,0,983,132,1,0,0,0,984,985,3,407, + 203,0,985,986,3,431,215,0,986,987,3,425,212,0,987,988,3,421,210, + 0,988,134,1,0,0,0,989,990,3,407,203,0,990,991,3,437,218,0,991,992, + 3,419,209,0,992,993,3,419,209,0,993,136,1,0,0,0,994,995,3,407,203, + 0,995,996,3,437,218,0,996,997,3,423,211,0,997,998,3,401,200,0,998, + 999,3,435,217,0,999,1000,3,413,206,0,1000,1001,3,425,212,0,1001, + 1002,3,423,211,0,1002,138,1,0,0,0,1003,1004,3,409,204,0,1004,1005, + 3,419,209,0,1005,1006,3,425,212,0,1006,1007,3,399,199,0,1007,1008, + 3,397,198,0,1008,1009,3,419,209,0,1009,140,1,0,0,0,1010,1011,3,409, + 204,0,1011,1012,3,431,215,0,1012,1013,3,397,198,0,1013,1014,3,423, + 211,0,1014,1015,3,437,218,0,1015,1016,3,419,209,0,1016,1017,3,397, + 198,0,1017,1018,3,431,215,0,1018,1019,3,413,206,0,1019,1020,3,435, + 217,0,1020,1021,3,445,222,0,1021,142,1,0,0,0,1022,1023,3,409,204, + 0,1023,1024,3,431,215,0,1024,1025,3,425,212,0,1025,1026,3,437,218, + 0,1026,1027,3,427,213,0,1027,144,1,0,0,0,1028,1029,3,411,205,0,1029, + 1030,3,397,198,0,1030,1031,3,439,219,0,1031,1032,3,413,206,0,1032, + 1033,3,423,211,0,1033,1034,3,409,204,0,1034,146,1,0,0,0,1035,1036, + 3,411,205,0,1036,1037,3,413,206,0,1037,1038,3,405,202,0,1038,1039, + 3,431,215,0,1039,1040,3,397,198,0,1040,1041,3,431,215,0,1041,1042, + 3,401,200,0,1042,1043,3,411,205,0,1043,1044,3,413,206,0,1044,1045, + 3,401,200,0,1045,1046,3,397,198,0,1046,1047,3,419,209,0,1047,148, + 1,0,0,0,1048,1049,3,411,205,0,1049,1050,3,425,212,0,1050,1051,3, + 437,218,0,1051,1052,3,431,215,0,1052,150,1,0,0,0,1053,1054,3,413, + 206,0,1054,1055,3,403,201,0,1055,152,1,0,0,0,1056,1057,3,413,206, + 0,1057,1058,3,407,203,0,1058,154,1,0,0,0,1059,1060,3,413,206,0,1060, + 1061,3,419,209,0,1061,1062,3,413,206,0,1062,1063,3,417,208,0,1063, + 1064,3,405,202,0,1064,156,1,0,0,0,1065,1066,3,413,206,0,1066,1067, + 3,423,211,0,1067,158,1,0,0,0,1068,1069,3,413,206,0,1069,1070,3,423, + 211,0,1070,1071,3,403,201,0,1071,1072,3,405,202,0,1072,1073,3,443, + 221,0,1073,160,1,0,0,0,1074,1075,3,413,206,0,1075,1076,3,423,211, + 0,1076,1077,3,407,203,0,1077,1088,1,0,0,0,1078,1079,3,413,206,0, + 1079,1080,3,423,211,0,1080,1081,3,407,203,0,1081,1082,3,413,206, + 0,1082,1083,3,423,211,0,1083,1084,3,413,206,0,1084,1085,3,435,217, + 0,1085,1086,3,445,222,0,1086,1088,1,0,0,0,1087,1074,1,0,0,0,1087, + 1078,1,0,0,0,1088,162,1,0,0,0,1089,1090,3,413,206,0,1090,1091,3, + 423,211,0,1091,1092,3,415,207,0,1092,1093,3,405,202,0,1093,1094, + 3,401,200,0,1094,1095,3,435,217,0,1095,1096,3,413,206,0,1096,1097, + 3,439,219,0,1097,1098,3,405,202,0,1098,164,1,0,0,0,1099,1100,3,413, + 206,0,1100,1101,3,423,211,0,1101,1102,3,423,211,0,1102,1103,3,405, + 202,0,1103,1104,3,431,215,0,1104,166,1,0,0,0,1105,1106,3,413,206, + 0,1106,1107,3,423,211,0,1107,1108,3,433,216,0,1108,1109,3,405,202, + 0,1109,1110,3,431,215,0,1110,1111,3,435,217,0,1111,168,1,0,0,0,1112, + 1113,3,413,206,0,1113,1114,3,423,211,0,1114,1115,3,435,217,0,1115, + 1116,3,405,202,0,1116,1117,3,431,215,0,1117,1118,3,439,219,0,1118, + 1119,3,397,198,0,1119,1120,3,419,209,0,1120,170,1,0,0,0,1121,1122, + 3,413,206,0,1122,1123,3,423,211,0,1123,1124,3,435,217,0,1124,1125, + 3,425,212,0,1125,172,1,0,0,0,1126,1127,3,413,206,0,1127,1128,3,433, + 216,0,1128,174,1,0,0,0,1129,1130,3,413,206,0,1130,1131,3,433,216, + 0,1131,1132,3,519,259,0,1132,1133,3,425,212,0,1133,1134,3,399,199, + 0,1134,1135,3,415,207,0,1135,1136,3,405,202,0,1136,1137,3,401,200, + 0,1137,1138,3,435,217,0,1138,1139,3,519,259,0,1139,1140,3,413,206, + 0,1140,1141,3,403,201,0,1141,176,1,0,0,0,1142,1143,3,415,207,0,1143, + 1144,3,425,212,0,1144,1145,3,413,206,0,1145,1146,3,423,211,0,1146, + 178,1,0,0,0,1147,1148,3,417,208,0,1148,1149,3,405,202,0,1149,1150, + 3,445,222,0,1150,180,1,0,0,0,1151,1152,3,417,208,0,1152,1153,3,413, + 206,0,1153,1154,3,419,209,0,1154,1155,3,419,209,0,1155,182,1,0,0, + 0,1156,1157,3,419,209,0,1157,1158,3,397,198,0,1158,1159,3,433,216, + 0,1159,1160,3,435,217,0,1160,184,1,0,0,0,1161,1162,3,419,209,0,1162, + 1163,3,397,198,0,1163,1164,3,445,222,0,1164,1165,3,425,212,0,1165, + 1166,3,437,218,0,1166,1167,3,435,217,0,1167,186,1,0,0,0,1168,1169, + 3,419,209,0,1169,1170,3,405,202,0,1170,1171,3,397,198,0,1171,1172, + 3,403,201,0,1172,1173,3,413,206,0,1173,1174,3,423,211,0,1174,1175, + 3,409,204,0,1175,188,1,0,0,0,1176,1177,3,419,209,0,1177,1178,3,405, + 202,0,1178,1179,3,407,203,0,1179,1180,3,435,217,0,1180,190,1,0,0, + 0,1181,1182,3,419,209,0,1182,1183,3,413,206,0,1183,1184,3,407,203, + 0,1184,1185,3,405,202,0,1185,1186,3,435,217,0,1186,1187,3,413,206, + 0,1187,1188,3,421,210,0,1188,1189,3,405,202,0,1189,192,1,0,0,0,1190, + 1191,3,419,209,0,1191,1192,3,413,206,0,1192,1193,3,417,208,0,1193, + 1194,3,405,202,0,1194,194,1,0,0,0,1195,1196,3,419,209,0,1196,1197, + 3,413,206,0,1197,1198,3,421,210,0,1198,1199,3,413,206,0,1199,1200, + 3,435,217,0,1200,196,1,0,0,0,1201,1202,3,419,209,0,1202,1203,3,413, + 206,0,1203,1204,3,439,219,0,1204,1205,3,405,202,0,1205,198,1,0,0, + 0,1206,1207,3,419,209,0,1207,1208,3,425,212,0,1208,1209,3,401,200, + 0,1209,1210,3,397,198,0,1210,1211,3,419,209,0,1211,200,1,0,0,0,1212, + 1213,3,419,209,0,1213,1214,3,425,212,0,1214,1215,3,409,204,0,1215, + 1216,3,433,216,0,1216,202,1,0,0,0,1217,1218,3,421,210,0,1218,1219, + 3,397,198,0,1219,1220,3,435,217,0,1220,1221,3,405,202,0,1221,1222, + 3,431,215,0,1222,1223,3,413,206,0,1223,1224,3,397,198,0,1224,1225, + 3,419,209,0,1225,1226,3,413,206,0,1226,1227,3,447,223,0,1227,1228, + 3,405,202,0,1228,204,1,0,0,0,1229,1230,3,421,210,0,1230,1231,3,397, + 198,0,1231,1232,3,435,217,0,1232,1233,3,405,202,0,1233,1234,3,431, + 215,0,1234,1235,3,413,206,0,1235,1236,3,397,198,0,1236,1237,3,419, + 209,0,1237,1238,3,413,206,0,1238,1239,3,447,223,0,1239,1240,3,405, + 202,0,1240,1241,3,403,201,0,1241,206,1,0,0,0,1242,1243,3,421,210, + 0,1243,1244,3,397,198,0,1244,1245,3,443,221,0,1245,208,1,0,0,0,1246, + 1247,3,421,210,0,1247,1248,3,405,202,0,1248,1249,3,431,215,0,1249, + 1250,3,409,204,0,1250,1251,3,405,202,0,1251,1252,3,433,216,0,1252, + 210,1,0,0,0,1253,1254,3,421,210,0,1254,1255,3,413,206,0,1255,1256, + 3,423,211,0,1256,212,1,0,0,0,1257,1258,3,421,210,0,1258,1259,3,413, + 206,0,1259,1260,3,423,211,0,1260,1261,3,437,218,0,1261,1262,3,435, + 217,0,1262,1263,3,405,202,0,1263,214,1,0,0,0,1264,1265,3,421,210, + 0,1265,1266,3,425,212,0,1266,1267,3,403,201,0,1267,1268,3,413,206, + 0,1268,1269,3,407,203,0,1269,1270,3,445,222,0,1270,216,1,0,0,0,1271, + 1272,3,421,210,0,1272,1273,3,425,212,0,1273,1274,3,423,211,0,1274, + 1275,3,435,217,0,1275,1276,3,411,205,0,1276,218,1,0,0,0,1277,1278, + 3,421,210,0,1278,1279,3,425,212,0,1279,1280,3,439,219,0,1280,1281, + 3,405,202,0,1281,220,1,0,0,0,1282,1283,3,421,210,0,1283,1284,3,437, + 218,0,1284,1285,3,435,217,0,1285,1286,3,397,198,0,1286,1287,3,435, + 217,0,1287,1288,3,413,206,0,1288,1289,3,425,212,0,1289,1290,3,423, + 211,0,1290,222,1,0,0,0,1291,1292,3,423,211,0,1292,1293,3,397,198, + 0,1293,1294,3,423,211,0,1294,224,1,0,0,0,1295,1296,3,423,211,0,1296, + 1297,3,425,212,0,1297,226,1,0,0,0,1298,1299,3,423,211,0,1299,1300, + 3,425,212,0,1300,1301,3,435,217,0,1301,228,1,0,0,0,1302,1303,3,423, + 211,0,1303,1304,3,437,218,0,1304,1305,3,419,209,0,1305,1306,3,419, + 209,0,1306,230,1,0,0,0,1307,1308,3,423,211,0,1308,1309,3,437,218, + 0,1309,1310,3,419,209,0,1310,1311,3,419,209,0,1311,1312,3,433,216, + 0,1312,232,1,0,0,0,1313,1314,3,425,212,0,1314,1315,3,407,203,0,1315, + 1316,3,407,203,0,1316,1317,3,433,216,0,1317,1318,3,405,202,0,1318, + 1319,3,435,217,0,1319,234,1,0,0,0,1320,1321,3,425,212,0,1321,1322, + 3,423,211,0,1322,236,1,0,0,0,1323,1324,3,425,212,0,1324,1325,3,427, + 213,0,1325,1326,3,435,217,0,1326,1327,3,413,206,0,1327,1328,3,421, + 210,0,1328,1329,3,413,206,0,1329,1330,3,447,223,0,1330,1331,3,405, + 202,0,1331,238,1,0,0,0,1332,1333,3,425,212,0,1333,1334,3,431,215, + 0,1334,240,1,0,0,0,1335,1336,3,425,212,0,1336,1337,3,431,215,0,1337, + 1338,3,403,201,0,1338,1339,3,405,202,0,1339,1340,3,431,215,0,1340, + 242,1,0,0,0,1341,1342,3,425,212,0,1342,1343,3,437,218,0,1343,1344, + 3,435,217,0,1344,1345,3,405,202,0,1345,1346,3,431,215,0,1346,244, + 1,0,0,0,1347,1348,3,425,212,0,1348,1349,3,437,218,0,1349,1350,3, + 435,217,0,1350,1351,3,407,203,0,1351,1352,3,413,206,0,1352,1353, + 3,419,209,0,1353,1354,3,405,202,0,1354,246,1,0,0,0,1355,1356,3,425, + 212,0,1356,1357,3,439,219,0,1357,1358,3,405,202,0,1358,1359,3,431, + 215,0,1359,248,1,0,0,0,1360,1361,3,427,213,0,1361,1362,3,397,198, + 0,1362,1363,3,431,215,0,1363,1364,3,435,217,0,1364,1365,3,413,206, + 0,1365,1366,3,435,217,0,1366,1367,3,413,206,0,1367,1368,3,425,212, + 0,1368,1369,3,423,211,0,1369,250,1,0,0,0,1370,1371,3,427,213,0,1371, + 1372,3,425,212,0,1372,1373,3,427,213,0,1373,1374,3,437,218,0,1374, + 1375,3,419,209,0,1375,1376,3,397,198,0,1376,1377,3,435,217,0,1377, + 1378,3,405,202,0,1378,252,1,0,0,0,1379,1380,3,427,213,0,1380,1381, + 3,431,215,0,1381,1382,3,405,202,0,1382,1383,3,401,200,0,1383,1384, + 3,405,202,0,1384,1385,3,403,201,0,1385,1386,3,413,206,0,1386,1387, + 3,423,211,0,1387,1388,3,409,204,0,1388,254,1,0,0,0,1389,1390,3,427, + 213,0,1390,1391,3,431,215,0,1391,1392,3,405,202,0,1392,1393,3,441, + 220,0,1393,1394,3,411,205,0,1394,1395,3,405,202,0,1395,1396,3,431, + 215,0,1396,1397,3,405,202,0,1397,256,1,0,0,0,1398,1399,3,427,213, + 0,1399,1400,3,431,215,0,1400,1401,3,413,206,0,1401,1402,3,421,210, + 0,1402,1403,3,397,198,0,1403,1404,3,431,215,0,1404,1405,3,445,222, + 0,1405,258,1,0,0,0,1406,1407,3,427,213,0,1407,1408,3,431,215,0,1408, + 1409,3,425,212,0,1409,1410,3,415,207,0,1410,1411,3,405,202,0,1411, + 1412,3,401,200,0,1412,1413,3,435,217,0,1413,1414,3,413,206,0,1414, + 1415,3,425,212,0,1415,1416,3,423,211,0,1416,260,1,0,0,0,1417,1418, + 3,429,214,0,1418,1419,3,437,218,0,1419,1420,3,397,198,0,1420,1421, + 3,431,215,0,1421,1422,3,435,217,0,1422,1423,3,405,202,0,1423,1424, + 3,431,215,0,1424,262,1,0,0,0,1425,1426,3,431,215,0,1426,1427,3,397, + 198,0,1427,1428,3,423,211,0,1428,1429,3,409,204,0,1429,1430,3,405, + 202,0,1430,264,1,0,0,0,1431,1432,3,431,215,0,1432,1433,3,405,202, + 0,1433,1434,3,419,209,0,1434,1435,3,425,212,0,1435,1436,3,397,198, + 0,1436,1437,3,403,201,0,1437,266,1,0,0,0,1438,1439,3,431,215,0,1439, + 1440,3,405,202,0,1440,1441,3,421,210,0,1441,1442,3,425,212,0,1442, + 1443,3,439,219,0,1443,1444,3,405,202,0,1444,268,1,0,0,0,1445,1446, + 3,431,215,0,1446,1447,3,405,202,0,1447,1448,3,423,211,0,1448,1449, + 3,397,198,0,1449,1450,3,421,210,0,1450,1451,3,405,202,0,1451,270, + 1,0,0,0,1452,1453,3,431,215,0,1453,1454,3,405,202,0,1454,1455,3, + 427,213,0,1455,1456,3,419,209,0,1456,1457,3,397,198,0,1457,1458, + 3,401,200,0,1458,1459,3,405,202,0,1459,272,1,0,0,0,1460,1461,3,431, + 215,0,1461,1462,3,405,202,0,1462,1463,3,427,213,0,1463,1464,3,419, + 209,0,1464,1465,3,413,206,0,1465,1466,3,401,200,0,1466,1467,3,397, + 198,0,1467,274,1,0,0,0,1468,1469,3,431,215,0,1469,1470,3,405,202, + 0,1470,1471,3,427,213,0,1471,1472,3,419,209,0,1472,1473,3,413,206, + 0,1473,1474,3,401,200,0,1474,1475,3,397,198,0,1475,1476,3,435,217, + 0,1476,1477,3,405,202,0,1477,1478,3,403,201,0,1478,276,1,0,0,0,1479, + 1480,3,431,215,0,1480,1481,3,413,206,0,1481,1482,3,409,204,0,1482, + 1483,3,411,205,0,1483,1484,3,435,217,0,1484,278,1,0,0,0,1485,1486, + 3,431,215,0,1486,1487,3,425,212,0,1487,1488,3,419,209,0,1488,1489, + 3,419,209,0,1489,1490,3,437,218,0,1490,1491,3,427,213,0,1491,280, + 1,0,0,0,1492,1493,3,431,215,0,1493,1494,3,425,212,0,1494,1495,3, + 441,220,0,1495,282,1,0,0,0,1496,1497,3,431,215,0,1497,1498,3,425, + 212,0,1498,1499,3,441,220,0,1499,1500,3,433,216,0,1500,284,1,0,0, + 0,1501,1502,3,433,216,0,1502,1503,3,397,198,0,1503,1504,3,421,210, + 0,1504,1505,3,427,213,0,1505,1506,3,419,209,0,1506,1507,3,405,202, + 0,1507,286,1,0,0,0,1508,1509,3,433,216,0,1509,1510,3,405,202,0,1510, + 1511,3,401,200,0,1511,1512,3,425,212,0,1512,1513,3,423,211,0,1513, + 1514,3,403,201,0,1514,288,1,0,0,0,1515,1516,3,433,216,0,1516,1517, + 3,405,202,0,1517,1518,3,419,209,0,1518,1519,3,405,202,0,1519,1520, + 3,401,200,0,1520,1521,3,435,217,0,1521,290,1,0,0,0,1522,1523,3,433, + 216,0,1523,1524,3,405,202,0,1524,1525,3,421,210,0,1525,1526,3,413, + 206,0,1526,292,1,0,0,0,1527,1528,3,433,216,0,1528,1529,3,405,202, + 0,1529,1530,3,423,211,0,1530,1531,3,403,201,0,1531,1532,3,433,216, + 0,1532,294,1,0,0,0,1533,1534,3,433,216,0,1534,1535,3,405,202,0,1535, + 1536,3,435,217,0,1536,296,1,0,0,0,1537,1538,3,433,216,0,1538,1539, + 3,405,202,0,1539,1540,3,435,217,0,1540,1541,3,435,217,0,1541,1542, + 3,413,206,0,1542,1543,3,423,211,0,1543,1544,3,409,204,0,1544,1545, + 3,433,216,0,1545,298,1,0,0,0,1546,1547,3,433,216,0,1547,1548,3,411, + 205,0,1548,1549,3,425,212,0,1549,1550,3,441,220,0,1550,300,1,0,0, + 0,1551,1552,3,433,216,0,1552,1553,3,425,212,0,1553,1554,3,437,218, + 0,1554,1555,3,431,215,0,1555,1556,3,401,200,0,1556,1557,3,405,202, + 0,1557,302,1,0,0,0,1558,1559,3,433,216,0,1559,1560,3,435,217,0,1560, + 1561,3,397,198,0,1561,1562,3,431,215,0,1562,1563,3,435,217,0,1563, + 304,1,0,0,0,1564,1565,3,433,216,0,1565,1566,3,435,217,0,1566,1567, + 3,425,212,0,1567,1568,3,427,213,0,1568,306,1,0,0,0,1569,1570,3,433, + 216,0,1570,1571,3,437,218,0,1571,1572,3,399,199,0,1572,1573,3,433, + 216,0,1573,1574,3,435,217,0,1574,1575,3,431,215,0,1575,1576,3,413, + 206,0,1576,1577,3,423,211,0,1577,1578,3,409,204,0,1578,308,1,0,0, + 0,1579,1580,3,433,216,0,1580,1581,3,445,222,0,1581,1582,3,423,211, + 0,1582,1583,3,401,200,0,1583,310,1,0,0,0,1584,1585,3,433,216,0,1585, + 1586,3,445,222,0,1586,1587,3,423,211,0,1587,1588,3,435,217,0,1588, + 1589,3,397,198,0,1589,1590,3,443,221,0,1590,312,1,0,0,0,1591,1592, + 3,433,216,0,1592,1593,3,445,222,0,1593,1594,3,433,216,0,1594,1595, + 3,435,217,0,1595,1596,3,405,202,0,1596,1597,3,421,210,0,1597,314, + 1,0,0,0,1598,1599,3,435,217,0,1599,1600,3,397,198,0,1600,1601,3, + 399,199,0,1601,1602,3,419,209,0,1602,1603,3,405,202,0,1603,316,1, + 0,0,0,1604,1605,3,435,217,0,1605,1606,3,397,198,0,1606,1607,3,399, + 199,0,1607,1608,3,419,209,0,1608,1609,3,405,202,0,1609,1610,3,433, + 216,0,1610,318,1,0,0,0,1611,1612,3,435,217,0,1612,1613,3,405,202, + 0,1613,1614,3,421,210,0,1614,1615,3,427,213,0,1615,1616,3,425,212, + 0,1616,1617,3,431,215,0,1617,1618,3,397,198,0,1618,1619,3,431,215, + 0,1619,1620,3,445,222,0,1620,320,1,0,0,0,1621,1622,3,435,217,0,1622, + 1623,3,405,202,0,1623,1624,3,433,216,0,1624,1625,3,435,217,0,1625, + 322,1,0,0,0,1626,1627,3,435,217,0,1627,1628,3,411,205,0,1628,1629, + 3,405,202,0,1629,1630,3,423,211,0,1630,324,1,0,0,0,1631,1632,3,435, + 217,0,1632,1633,3,413,206,0,1633,1634,3,405,202,0,1634,1635,3,433, + 216,0,1635,326,1,0,0,0,1636,1637,3,435,217,0,1637,1638,3,413,206, + 0,1638,1639,3,421,210,0,1639,1640,3,405,202,0,1640,1641,3,425,212, + 0,1641,1642,3,437,218,0,1642,1643,3,435,217,0,1643,328,1,0,0,0,1644, + 1645,3,435,217,0,1645,1646,3,413,206,0,1646,1647,3,421,210,0,1647, + 1648,3,405,202,0,1648,1649,3,433,216,0,1649,1650,3,435,217,0,1650, + 1651,3,397,198,0,1651,1652,3,421,210,0,1652,1653,3,427,213,0,1653, + 330,1,0,0,0,1654,1655,3,435,217,0,1655,1656,3,425,212,0,1656,332, + 1,0,0,0,1657,1658,3,435,217,0,1658,1659,3,425,212,0,1659,1660,3, + 427,213,0,1660,334,1,0,0,0,1661,1662,3,435,217,0,1662,1663,3,425, + 212,0,1663,1664,3,435,217,0,1664,1665,3,397,198,0,1665,1666,3,419, + 209,0,1666,1667,3,433,216,0,1667,336,1,0,0,0,1668,1669,3,435,217, + 0,1669,1670,3,431,215,0,1670,1671,3,397,198,0,1671,1672,3,413,206, + 0,1672,1673,3,419,209,0,1673,1674,3,413,206,0,1674,1675,3,423,211, + 0,1675,1676,3,409,204,0,1676,338,1,0,0,0,1677,1678,3,435,217,0,1678, + 1679,3,431,215,0,1679,1680,3,413,206,0,1680,1681,3,421,210,0,1681, + 340,1,0,0,0,1682,1683,3,435,217,0,1683,1684,3,431,215,0,1684,1685, + 3,437,218,0,1685,1686,3,423,211,0,1686,1687,3,401,200,0,1687,1688, + 3,397,198,0,1688,1689,3,435,217,0,1689,1690,3,405,202,0,1690,342, + 1,0,0,0,1691,1692,3,435,217,0,1692,1693,3,435,217,0,1693,1694,3, + 419,209,0,1694,344,1,0,0,0,1695,1696,3,435,217,0,1696,1697,3,445, + 222,0,1697,1698,3,427,213,0,1698,1699,3,405,202,0,1699,346,1,0,0, + 0,1700,1701,3,437,218,0,1701,1702,3,423,211,0,1702,1703,3,399,199, + 0,1703,1704,3,425,212,0,1704,1705,3,437,218,0,1705,1706,3,423,211, + 0,1706,1707,3,403,201,0,1707,1708,3,405,202,0,1708,1709,3,403,201, + 0,1709,348,1,0,0,0,1710,1711,3,437,218,0,1711,1712,3,423,211,0,1712, + 1713,3,413,206,0,1713,1714,3,425,212,0,1714,1715,3,423,211,0,1715, + 350,1,0,0,0,1716,1717,3,437,218,0,1717,1718,3,427,213,0,1718,1719, + 3,403,201,0,1719,1720,3,397,198,0,1720,1721,3,435,217,0,1721,1722, + 3,405,202,0,1722,352,1,0,0,0,1723,1724,3,437,218,0,1724,1725,3,433, + 216,0,1725,1726,3,405,202,0,1726,354,1,0,0,0,1727,1728,3,437,218, + 0,1728,1729,3,433,216,0,1729,1730,3,413,206,0,1730,1731,3,423,211, + 0,1731,1732,3,409,204,0,1732,356,1,0,0,0,1733,1734,3,437,218,0,1734, + 1735,3,437,218,0,1735,1736,3,413,206,0,1736,1737,3,403,201,0,1737, + 358,1,0,0,0,1738,1739,3,439,219,0,1739,1740,3,397,198,0,1740,1741, + 3,419,209,0,1741,1742,3,437,218,0,1742,1743,3,405,202,0,1743,1744, + 3,433,216,0,1744,360,1,0,0,0,1745,1746,3,439,219,0,1746,1747,3,413, + 206,0,1747,1748,3,405,202,0,1748,1749,3,441,220,0,1749,362,1,0,0, + 0,1750,1751,3,439,219,0,1751,1752,3,425,212,0,1752,1753,3,419,209, + 0,1753,1754,3,437,218,0,1754,1755,3,421,210,0,1755,1756,3,405,202, + 0,1756,364,1,0,0,0,1757,1758,3,441,220,0,1758,1759,3,397,198,0,1759, + 1760,3,435,217,0,1760,1761,3,401,200,0,1761,1762,3,411,205,0,1762, + 366,1,0,0,0,1763,1764,3,441,220,0,1764,1765,3,405,202,0,1765,1766, + 3,405,202,0,1766,1767,3,417,208,0,1767,368,1,0,0,0,1768,1769,3,441, + 220,0,1769,1770,3,411,205,0,1770,1771,3,405,202,0,1771,1772,3,423, + 211,0,1772,370,1,0,0,0,1773,1774,3,441,220,0,1774,1775,3,411,205, + 0,1775,1776,3,405,202,0,1776,1777,3,431,215,0,1777,1778,3,405,202, + 0,1778,372,1,0,0,0,1779,1780,3,441,220,0,1780,1781,3,413,206,0,1781, + 1782,3,423,211,0,1782,1783,3,403,201,0,1783,1784,3,425,212,0,1784, + 1785,3,441,220,0,1785,374,1,0,0,0,1786,1787,3,441,220,0,1787,1788, + 3,413,206,0,1788,1789,3,435,217,0,1789,1790,3,411,205,0,1790,376, + 1,0,0,0,1791,1792,3,445,222,0,1792,1793,3,405,202,0,1793,1794,3, + 397,198,0,1794,1795,3,431,215,0,1795,1802,1,0,0,0,1796,1797,3,445, + 222,0,1797,1798,3,445,222,0,1798,1799,3,445,222,0,1799,1800,3,445, + 222,0,1800,1802,1,0,0,0,1801,1791,1,0,0,0,1801,1796,1,0,0,0,1802, + 378,1,0,0,0,1803,1804,5,102,0,0,1804,1805,5,97,0,0,1805,1806,5,108, + 0,0,1806,1807,5,115,0,0,1807,1808,5,101,0,0,1808,380,1,0,0,0,1809, + 1810,5,116,0,0,1810,1811,5,114,0,0,1811,1812,5,117,0,0,1812,1813, + 5,101,0,0,1813,382,1,0,0,0,1814,1815,3,463,231,0,1815,1816,3,399, + 199,0,1816,1845,1,0,0,0,1817,1818,3,463,231,0,1818,1819,3,407,203, + 0,1819,1845,1,0,0,0,1820,1821,3,463,231,0,1821,1822,3,431,215,0, + 1822,1845,1,0,0,0,1823,1824,3,463,231,0,1824,1825,3,423,211,0,1825, + 1845,1,0,0,0,1826,1827,3,463,231,0,1827,1828,3,435,217,0,1828,1845, + 1,0,0,0,1829,1830,3,463,231,0,1830,1831,5,48,0,0,1831,1845,1,0,0, + 0,1832,1833,3,463,231,0,1833,1834,3,397,198,0,1834,1845,1,0,0,0, + 1835,1836,3,463,231,0,1836,1837,3,439,219,0,1837,1845,1,0,0,0,1838, + 1839,3,463,231,0,1839,1840,3,463,231,0,1840,1845,1,0,0,0,1841,1842, + 3,463,231,0,1842,1843,3,507,253,0,1843,1845,1,0,0,0,1844,1814,1, + 0,0,0,1844,1817,1,0,0,0,1844,1820,1,0,0,0,1844,1823,1,0,0,0,1844, + 1826,1,0,0,0,1844,1829,1,0,0,0,1844,1832,1,0,0,0,1844,1835,1,0,0, + 0,1844,1838,1,0,0,0,1844,1841,1,0,0,0,1845,384,1,0,0,0,1846,1850, + 3,449,224,0,1847,1850,3,519,259,0,1848,1850,3,473,236,0,1849,1846, + 1,0,0,0,1849,1847,1,0,0,0,1849,1848,1,0,0,0,1850,1857,1,0,0,0,1851, + 1856,3,449,224,0,1852,1856,3,519,259,0,1853,1856,3,453,226,0,1854, + 1856,3,473,236,0,1855,1851,1,0,0,0,1855,1852,1,0,0,0,1855,1853,1, + 0,0,0,1855,1854,1,0,0,0,1856,1859,1,0,0,0,1857,1855,1,0,0,0,1857, + 1858,1,0,0,0,1858,1887,1,0,0,0,1859,1857,1,0,0,0,1860,1868,3,461, + 230,0,1861,1867,8,0,0,0,1862,1867,3,383,191,0,1863,1864,3,461,230, + 0,1864,1865,3,461,230,0,1865,1867,1,0,0,0,1866,1861,1,0,0,0,1866, + 1862,1,0,0,0,1866,1863,1,0,0,0,1867,1870,1,0,0,0,1868,1866,1,0,0, + 0,1868,1869,1,0,0,0,1869,1871,1,0,0,0,1870,1868,1,0,0,0,1871,1872, + 3,461,230,0,1872,1887,1,0,0,0,1873,1881,3,505,252,0,1874,1880,8, + 1,0,0,1875,1880,3,383,191,0,1876,1877,3,505,252,0,1877,1878,3,505, + 252,0,1878,1880,1,0,0,0,1879,1874,1,0,0,0,1879,1875,1,0,0,0,1879, + 1876,1,0,0,0,1880,1883,1,0,0,0,1881,1879,1,0,0,0,1881,1882,1,0,0, + 0,1882,1884,1,0,0,0,1883,1881,1,0,0,0,1884,1885,3,505,252,0,1885, + 1887,1,0,0,0,1886,1849,1,0,0,0,1886,1860,1,0,0,0,1886,1873,1,0,0, + 0,1887,386,1,0,0,0,1888,1889,3,393,196,0,1889,1893,3,475,237,0,1890, + 1892,3,455,227,0,1891,1890,1,0,0,0,1892,1895,1,0,0,0,1893,1891,1, + 0,0,0,1893,1894,1,0,0,0,1894,1898,1,0,0,0,1895,1893,1,0,0,0,1896, + 1899,3,427,213,0,1897,1899,3,405,202,0,1898,1896,1,0,0,0,1898,1897, + 1,0,0,0,1899,1902,1,0,0,0,1900,1903,3,501,250,0,1901,1903,3,471, + 235,0,1902,1900,1,0,0,0,1902,1901,1,0,0,0,1902,1903,1,0,0,0,1903, + 1905,1,0,0,0,1904,1906,3,453,226,0,1905,1904,1,0,0,0,1906,1907,1, + 0,0,0,1907,1905,1,0,0,0,1907,1908,1,0,0,0,1908,1965,1,0,0,0,1909, + 1912,3,393,196,0,1910,1913,3,427,213,0,1911,1913,3,405,202,0,1912, + 1910,1,0,0,0,1912,1911,1,0,0,0,1913,1916,1,0,0,0,1914,1917,3,501, + 250,0,1915,1917,3,471,235,0,1916,1914,1,0,0,0,1916,1915,1,0,0,0, + 1916,1917,1,0,0,0,1917,1919,1,0,0,0,1918,1920,3,453,226,0,1919,1918, + 1,0,0,0,1920,1921,1,0,0,0,1921,1919,1,0,0,0,1921,1922,1,0,0,0,1922, + 1965,1,0,0,0,1923,1924,3,391,195,0,1924,1928,3,475,237,0,1925,1927, + 3,453,226,0,1926,1925,1,0,0,0,1927,1930,1,0,0,0,1928,1926,1,0,0, + 0,1928,1929,1,0,0,0,1929,1931,1,0,0,0,1930,1928,1,0,0,0,1931,1934, + 3,405,202,0,1932,1935,3,501,250,0,1933,1935,3,471,235,0,1934,1932, + 1,0,0,0,1934,1933,1,0,0,0,1934,1935,1,0,0,0,1935,1937,1,0,0,0,1936, + 1938,3,453,226,0,1937,1936,1,0,0,0,1938,1939,1,0,0,0,1939,1937,1, + 0,0,0,1939,1940,1,0,0,0,1940,1965,1,0,0,0,1941,1942,3,475,237,0, + 1942,1943,3,391,195,0,1943,1946,3,405,202,0,1944,1947,3,501,250, + 0,1945,1947,3,471,235,0,1946,1944,1,0,0,0,1946,1945,1,0,0,0,1946, + 1947,1,0,0,0,1947,1949,1,0,0,0,1948,1950,3,453,226,0,1949,1948,1, + 0,0,0,1950,1951,1,0,0,0,1951,1949,1,0,0,0,1951,1952,1,0,0,0,1952, + 1965,1,0,0,0,1953,1954,3,391,195,0,1954,1957,3,405,202,0,1955,1958, + 3,501,250,0,1956,1958,3,471,235,0,1957,1955,1,0,0,0,1957,1956,1, + 0,0,0,1957,1958,1,0,0,0,1958,1960,1,0,0,0,1959,1961,3,453,226,0, + 1960,1959,1,0,0,0,1961,1962,1,0,0,0,1962,1960,1,0,0,0,1962,1963, + 1,0,0,0,1963,1965,1,0,0,0,1964,1888,1,0,0,0,1964,1909,1,0,0,0,1964, + 1923,1,0,0,0,1964,1941,1,0,0,0,1964,1953,1,0,0,0,1965,388,1,0,0, + 0,1966,1968,5,48,0,0,1967,1969,3,451,225,0,1968,1967,1,0,0,0,1969, + 1970,1,0,0,0,1970,1968,1,0,0,0,1970,1971,1,0,0,0,1971,390,1,0,0, + 0,1972,1974,3,453,226,0,1973,1972,1,0,0,0,1974,1975,1,0,0,0,1975, + 1973,1,0,0,0,1975,1976,1,0,0,0,1976,392,1,0,0,0,1977,1978,5,48,0, + 0,1978,1980,3,443,221,0,1979,1981,3,455,227,0,1980,1979,1,0,0,0, + 1981,1982,1,0,0,0,1982,1980,1,0,0,0,1982,1983,1,0,0,0,1983,394,1, + 0,0,0,1984,1992,3,507,253,0,1985,1991,8,2,0,0,1986,1991,3,383,191, + 0,1987,1988,3,507,253,0,1988,1989,3,507,253,0,1989,1991,1,0,0,0, + 1990,1985,1,0,0,0,1990,1986,1,0,0,0,1990,1987,1,0,0,0,1991,1994, + 1,0,0,0,1992,1990,1,0,0,0,1992,1993,1,0,0,0,1993,1995,1,0,0,0,1994, + 1992,1,0,0,0,1995,1996,3,507,253,0,1996,396,1,0,0,0,1997,1998,7, + 3,0,0,1998,398,1,0,0,0,1999,2000,7,4,0,0,2000,400,1,0,0,0,2001,2002, + 7,5,0,0,2002,402,1,0,0,0,2003,2004,7,6,0,0,2004,404,1,0,0,0,2005, + 2006,7,7,0,0,2006,406,1,0,0,0,2007,2008,7,8,0,0,2008,408,1,0,0,0, + 2009,2010,7,9,0,0,2010,410,1,0,0,0,2011,2012,7,10,0,0,2012,412,1, + 0,0,0,2013,2014,7,11,0,0,2014,414,1,0,0,0,2015,2016,7,12,0,0,2016, + 416,1,0,0,0,2017,2018,7,13,0,0,2018,418,1,0,0,0,2019,2020,7,14,0, + 0,2020,420,1,0,0,0,2021,2022,7,15,0,0,2022,422,1,0,0,0,2023,2024, + 7,16,0,0,2024,424,1,0,0,0,2025,2026,7,17,0,0,2026,426,1,0,0,0,2027, + 2028,7,18,0,0,2028,428,1,0,0,0,2029,2030,7,19,0,0,2030,430,1,0,0, + 0,2031,2032,7,20,0,0,2032,432,1,0,0,0,2033,2034,7,21,0,0,2034,434, + 1,0,0,0,2035,2036,7,22,0,0,2036,436,1,0,0,0,2037,2038,7,23,0,0,2038, + 438,1,0,0,0,2039,2040,7,24,0,0,2040,440,1,0,0,0,2041,2042,7,25,0, + 0,2042,442,1,0,0,0,2043,2044,7,26,0,0,2044,444,1,0,0,0,2045,2046, + 7,27,0,0,2046,446,1,0,0,0,2047,2048,7,28,0,0,2048,448,1,0,0,0,2049, + 2050,7,29,0,0,2050,450,1,0,0,0,2051,2052,7,30,0,0,2052,452,1,0,0, + 0,2053,2054,7,31,0,0,2054,454,1,0,0,0,2055,2056,7,32,0,0,2056,456, + 1,0,0,0,2057,2058,5,45,0,0,2058,2059,5,62,0,0,2059,458,1,0,0,0,2060, + 2061,5,42,0,0,2061,460,1,0,0,0,2062,2063,5,96,0,0,2063,462,1,0,0, + 0,2064,2065,5,92,0,0,2065,464,1,0,0,0,2066,2067,5,58,0,0,2067,466, + 1,0,0,0,2068,2069,5,44,0,0,2069,468,1,0,0,0,2070,2071,5,124,0,0, + 2071,2072,5,124,0,0,2072,470,1,0,0,0,2073,2074,5,45,0,0,2074,472, + 1,0,0,0,2075,2076,5,36,0,0,2076,474,1,0,0,0,2077,2078,5,46,0,0,2078, + 476,1,0,0,0,2079,2080,5,61,0,0,2080,2081,5,61,0,0,2081,478,1,0,0, + 0,2082,2083,5,61,0,0,2083,480,1,0,0,0,2084,2085,5,62,0,0,2085,2086, + 5,61,0,0,2086,482,1,0,0,0,2087,2088,5,62,0,0,2088,484,1,0,0,0,2089, + 2090,5,35,0,0,2090,486,1,0,0,0,2091,2092,5,123,0,0,2092,488,1,0, + 0,0,2093,2094,5,91,0,0,2094,490,1,0,0,0,2095,2096,5,60,0,0,2096, + 2097,5,61,0,0,2097,492,1,0,0,0,2098,2099,5,40,0,0,2099,494,1,0,0, + 0,2100,2101,5,60,0,0,2101,496,1,0,0,0,2102,2103,5,33,0,0,2103,2107, + 5,61,0,0,2104,2105,5,60,0,0,2105,2107,5,62,0,0,2106,2102,1,0,0,0, + 2106,2104,1,0,0,0,2107,498,1,0,0,0,2108,2109,5,37,0,0,2109,500,1, + 0,0,0,2110,2111,5,43,0,0,2111,502,1,0,0,0,2112,2113,5,63,0,0,2113, + 504,1,0,0,0,2114,2115,5,34,0,0,2115,506,1,0,0,0,2116,2117,5,39,0, + 0,2117,508,1,0,0,0,2118,2119,5,125,0,0,2119,510,1,0,0,0,2120,2121, + 5,93,0,0,2121,512,1,0,0,0,2122,2123,5,41,0,0,2123,514,1,0,0,0,2124, + 2125,5,59,0,0,2125,516,1,0,0,0,2126,2127,5,47,0,0,2127,518,1,0,0, + 0,2128,2129,5,95,0,0,2129,520,1,0,0,0,2130,2131,5,47,0,0,2131,2132, + 5,42,0,0,2132,2136,1,0,0,0,2133,2135,9,0,0,0,2134,2133,1,0,0,0,2135, + 2138,1,0,0,0,2136,2137,1,0,0,0,2136,2134,1,0,0,0,2137,2139,1,0,0, + 0,2138,2136,1,0,0,0,2139,2140,5,42,0,0,2140,2141,5,47,0,0,2141,2142, + 1,0,0,0,2142,2143,6,260,0,0,2143,522,1,0,0,0,2144,2145,5,45,0,0, + 2145,2146,5,45,0,0,2146,2150,1,0,0,0,2147,2149,8,33,0,0,2148,2147, + 1,0,0,0,2149,2152,1,0,0,0,2150,2148,1,0,0,0,2150,2151,1,0,0,0,2151, + 2154,1,0,0,0,2152,2150,1,0,0,0,2153,2155,7,34,0,0,2154,2153,1,0, + 0,0,2155,2156,1,0,0,0,2156,2157,6,261,0,0,2157,524,1,0,0,0,2158, + 2159,7,35,0,0,2159,2160,1,0,0,0,2160,2161,6,262,0,0,2161,526,1,0, + 0,0,37,0,589,1087,1801,1844,1849,1855,1857,1866,1868,1879,1881,1886, + 1893,1898,1902,1907,1912,1916,1921,1928,1934,1939,1946,1951,1957, + 1962,1964,1970,1975,1982,1990,1992,2106,2136,2150,2154,1,6,0,0 ] class HogQLLexer(Lexer): diff --git a/posthog/hogql/grammar/README.md b/posthog/hogql/grammar/README.md index d02e0f23386cf..0a61f8bbeb3f4 100644 --- a/posthog/hogql/grammar/README.md +++ b/posthog/hogql/grammar/README.md @@ -43,7 +43,5 @@ Original ClickHouse ANTLR grammar from: https://github.com/ClickHouse/ClickHouse Changes with ClickHouse's grammar: - removed all statements except for "select" -- strings can also be entered with double quotes, not just single quotes -- identifiers are entered with only backticks, not with double quotes (those are used for strings) - raises an error if you run some ClickHouse SQL query features that are not implemented yet (ever changing list, check the code) \ No newline at end of file diff --git a/posthog/hogql/parser.py b/posthog/hogql/parser.py index 32a454b05cf94..e76af9e4961ac 100644 --- a/posthog/hogql/parser.py +++ b/posthog/hogql/parser.py @@ -469,13 +469,17 @@ def visitKeywordForAlias(self, ctx: HogQLParser.KeywordForAliasContext): def visitAlias(self, ctx: HogQLParser.AliasContext): text = ctx.getText() - if len(text) >= 2 and text.startswith("`") and text.endswith("`"): + if len(text) >= 2 and ( + (text.startswith("`") and text.endswith("`")) or (text.startswith('"') and text.endswith('"')) + ): text = parse_string(text) return text def visitIdentifier(self, ctx: HogQLParser.IdentifierContext): text = ctx.getText() - if len(text) >= 2 and text.startswith("`") and text.endswith("`"): + if len(text) >= 2 and ( + (text.startswith("`") and text.endswith("`")) or (text.startswith('"') and text.endswith('"')) + ): text = parse_string(text) return text diff --git a/posthog/hogql/test/test_hogql.py b/posthog/hogql/test/test_hogql.py index 48bbd76e49dfb..703265ad0fdce 100644 --- a/posthog/hogql/test/test_hogql.py +++ b/posthog/hogql/test/test_hogql.py @@ -17,7 +17,6 @@ def test_hogql_literals(self): self.assertEqual(self._translate("1.0 * 2.66"), "multiply(1.0, 2.66)") self.assertEqual(self._translate("1.0 % 2.66"), "modulo(1.0, 2.66)") self.assertEqual(self._translate("'string'"), "%(hogql_val_0)s") - self.assertEqual(self._translate('"string"'), "%(hogql_val_0)s") def test_hogql_equals_null(self): self.assertEqual(self._translate("1 == null"), "isNull(1)") @@ -32,10 +31,6 @@ def test_hogql_fields_and_properties(self): self._translate("properties['bla']"), "replaceRegexpAll(JSONExtractRaw(properties, %(hogql_val_0)s), '^\"|\"$', '')", ) - self.assertEqual( - self._translate('properties["bla"]'), - "replaceRegexpAll(JSONExtractRaw(properties, %(hogql_val_0)s), '^\"|\"$', '')", - ) context = HogQLContext() self.assertEqual(