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agent_compositor_test/references/igraph-1.0.1/src/isomorphism/isoclasses.c
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Abdelrahman Said a11edf0c53 Add graph references
2026-06-28 13:49:01 +01:00

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/*
igraph library.
Copyright (C) 2006-2021 The igraph development team
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301 USA
*/
#include "igraph_isomorphism.h"
#include "igraph_constructors.h"
#include "igraph_interface.h"
#include "isomorphism/isoclasses.h"
/*
* Small labelled graphs are encoded into a compact representation, a "code",
* that fits into a single integer value. Each non-loop edge corresponds to
* a specific bit of the integer. The edge-to-bit mappings are stored in
* the "isoclass_idx" arrays while the bit-to-edge mappings are in the "classedges"
* arrays.
*
* The "isoclass2" array is a mapping from the code of each possible labelled
* graph to its isomorphism class. A canonical representative of each isomorphism
* class is stored in "isographs".
*
* In the names of arrays, the number refers to the vertex count, while "u"
* indicates undirected graphs (the other arrays store directed ones).
*
* Description of each array for graphs of size n:
*
* isosclass_idx represents an n-by-n matrix stored in column-major order.
* Element i,j of the matrix is an integer with a single bit set. This bit,
* if set, represents edge i-j in the graph code.
*
* isoclass2[code] gives the isomorphism class of the graph represented by code.
* Classes are labelled by integers starting at 0, after ordering them by the
* graph code of their smallest-code representative.
*
* isographs[class] is the code of a graph belonging to the given class. For each
* class, the representative with the smallest code is chosen.
*
* classedges[2*i] - classedges[2*i+1] are the endpoints of the edge represented
* by bit i in the code. Bits are numbered from most to least significant, thus
* the most significant one has index i=0.
*/
const unsigned int igraph_i_isoclass_3_idx[] = { 0, 4, 16, 1, 0, 32, 2, 8, 0 };
const unsigned int igraph_i_isoclass_4_idx[] = {
0, 8, 64, 512, 1, 0, 128, 1024, 2, 16, 0, 2048, 4, 32, 256, 0
};
const unsigned int igraph_i_isoclass_3u_idx[] = { 0, 1, 2, 1, 0, 4, 2, 4, 0 };
const unsigned int igraph_i_isoclass_4u_idx[] = {
0, 1, 2, 8, 1, 0, 4, 16, 2, 4, 0, 32, 8, 16, 32, 0
};
const unsigned int igraph_i_isoclass_5u_idx[] = {
0, 1, 2, 8, 64, 1, 0, 4, 16, 128, 2, 4, 0, 32, 256, 8, 16, 32, 0, 512, 64, 128, 256, 512, 0
};
const unsigned int igraph_i_isoclass_6u_idx[] = {
0, 1, 2, 8, 64, 1024, 1, 0, 4, 16, 128, 2048, 2, 4, 0, 32, 256, 4096,
8, 16, 32, 0, 512, 8192, 64, 128, 256, 512, 0, 16384, 1024, 2048,
4096, 8192, 16384, 0
};
const unsigned int igraph_i_isoclass2_3[] = {
0, 1, 1, 2, 1, 3, 4, 5, 1, 4, 6, 7, 2, 5, 7, 8, 1, 4, 3, 5, 6, 9, 9, 10, 4, 11,
9, 12, 7, 12, 13, 14, 1, 6, 4, 7, 4, 9, 11, 12, 3, 9, 9, 13, 5, 10, 12, 14, 2, 7, 5, 8,
7, 13, 12, 14, 5, 12, 10, 14, 8, 14, 14, 15
};
const unsigned int igraph_i_isoclass2_3u[] = {
0, 1, 1, 2, 1, 2, 2, 3
};
const unsigned int igraph_i_isoclass2_4u[] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 4, 5, 6, 6, 7, 1, 2, 5, 6, 2, 4, 6, 7, 2, 3,
6, 7, 6, 7, 8, 9, 1, 5, 2, 6, 2, 6, 4, 7, 2, 6, 3, 7, 6, 8, 7, 9, 2, 6, 6, 8,
3, 7, 7, 9, 4, 7, 7, 9, 7, 9, 9, 10
};
const unsigned int igraph_i_isoclass2_4[] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 4, 5, 6, 5, 6, 7, 8, 1, 5, 9, 10,
11, 12, 13, 14, 2, 6, 10, 15, 12, 16, 17, 18, 1, 5, 11, 12, 9, 10, 13, 14,
2, 6, 12, 16, 10, 15, 17, 18, 2, 7, 13, 17, 13, 17, 19, 20, 3, 8, 14, 18,
14, 18, 20, 21, 1, 5, 4, 6, 5, 7, 6, 8, 9, 22, 22, 23, 24, 25, 25, 26,
5, 27, 22, 28, 29, 30, 31, 32, 10, 28, 33, 34, 35, 36, 37, 38, 11, 29, 39, 40,
41, 42, 43, 44, 13, 31, 45, 46, 47, 48, 49, 50, 12, 30, 45, 51, 52, 53, 54, 55,
14, 32, 56, 57, 58, 59, 60, 61, 1, 9, 5, 10, 11, 13, 12, 14, 5, 22, 27, 28,
29, 31, 30, 32, 4, 22, 22, 33, 39, 45, 45, 56, 6, 23, 28, 34, 40, 46, 51, 57,
5, 24, 29, 35, 41, 47, 52, 58, 7, 25, 30, 36, 42, 48, 53, 59, 6, 25, 31, 37,
43, 49, 54, 60, 8, 26, 32, 38, 44, 50, 55, 61, 2, 10, 6, 15, 12, 17, 16, 18,
10, 33, 28, 34, 35, 37, 36, 38, 6, 28, 23, 34, 40, 51, 46, 57, 15, 34, 34, 62,
63, 64, 64, 65, 12, 35, 40, 63, 66, 67, 68, 69, 17, 37, 51, 64, 67, 70, 71, 72,
16, 36, 46, 64, 68, 71, 73, 74, 18, 38, 57, 65, 69, 72, 74, 75, 1, 11, 5, 12,
9, 13, 10, 14, 11, 39, 29, 40, 41, 43, 42, 44, 5, 29, 24, 35, 41, 52, 47, 58,
12, 40, 35, 63, 66, 68, 67, 69, 9, 41, 41, 66, 76, 77, 77, 78, 13, 43, 52, 68,
77, 79, 80, 81, 10, 42, 47, 67, 77, 80, 82, 83, 14, 44, 58, 69, 78, 81, 83, 84,
2, 12, 6, 16, 10, 17, 15, 18, 13, 45, 31, 46, 47, 49, 48, 50, 7, 30, 25, 36,
42, 53, 48, 59, 17, 51, 37, 64, 67, 71, 70, 72, 13, 52, 43, 68, 77, 80, 79, 81,
19, 54, 54, 73, 82, 85, 85, 86, 17, 53, 49, 71, 80, 87, 85, 88, 20, 55, 60, 74,
83, 88, 89, 90, 2, 13, 7, 17, 13, 19, 17, 20, 12, 45, 30, 51, 52, 54, 53, 55,
6, 31, 25, 37, 43, 54, 49, 60, 16, 46, 36, 64, 68, 73, 71, 74, 10, 47, 42, 67,
77, 82, 80, 83, 17, 49, 53, 71, 80, 85, 87, 88, 15, 48, 48, 70, 79, 85, 85, 89,
18, 50, 59, 72, 81, 86, 88, 90, 3, 14, 8, 18, 14, 20, 18, 21, 14, 56, 32, 57,
58, 60, 59, 61, 8, 32, 26, 38, 44, 55, 50, 61, 18, 57, 38, 65, 69, 74, 72, 75,
14, 58, 44, 69, 78, 83, 81, 84, 20, 60, 55, 74, 83, 89, 88, 90, 18, 59, 50, 72,
81, 88, 86, 90, 21, 61, 61, 75, 84, 90, 90, 91, 1, 5, 5, 7, 4, 6, 6, 8,
9, 22, 24, 25, 22, 23, 25, 26, 11, 29, 41, 42, 39, 40, 43, 44, 13, 31, 47, 48,
45, 46, 49, 50, 5, 27, 29, 30, 22, 28, 31, 32, 10, 28, 35, 36, 33, 34, 37, 38,
12, 30, 52, 53, 45, 51, 54, 55, 14, 32, 58, 59, 56, 57, 60, 61, 9, 24, 22, 25,
22, 25, 23, 26, 76, 92, 92, 93, 92, 93, 93, 94, 41, 95, 96, 97, 98, 99, 100, 101,
77, 102, 103, 104, 105, 106, 107, 108, 41, 95, 98, 99, 96, 97, 100, 101, 77, 102, 105, 106,
103, 104, 107, 108, 66, 109, 110, 111, 110, 111, 112, 113, 78, 114, 115, 116, 115, 116, 117, 118,
11, 41, 29, 42, 39, 43, 40, 44, 41, 96, 95, 97, 98, 100, 99, 101, 39, 98, 98, 119,
120, 121, 121, 122, 43, 100, 123, 124, 121, 125, 126, 127, 29, 95, 128, 129, 98, 123, 130, 131,
42, 97, 129, 132, 119, 124, 133, 134, 40, 99, 130, 133, 121, 126, 135, 136, 44, 101, 131, 134,
122, 127, 136, 137, 13, 47, 31, 48, 45, 49, 46, 50, 77, 103, 102, 104, 105, 107, 106, 108,
43, 123, 100, 124, 121, 126, 125, 127, 79, 138, 138, 139, 140, 141, 141, 142, 52, 143, 130, 144,
110, 145, 146, 147, 80, 148, 149, 150, 151, 152, 153, 154, 68, 155, 146, 156, 157, 158, 159, 160,
81, 161, 162, 163, 164, 165, 166, 167, 5, 29, 27, 30, 22, 31, 28, 32, 41, 98, 95, 99,
96, 100, 97, 101, 29, 128, 95, 129, 98, 130, 123, 131, 52, 130, 143, 144, 110, 146, 145, 147,
24, 95, 95, 109, 92, 102, 102, 114, 47, 123, 143, 155, 103, 138, 148, 161, 35, 129, 143, 168,
105, 149, 169, 170, 58, 131, 171, 172, 115, 162, 173, 174, 10, 35, 28, 36, 33, 37, 34, 38,
77, 105, 102, 106, 103, 107, 104, 108, 42, 129, 97, 132, 119, 133, 124, 134, 80, 149, 148, 150,
151, 153, 152, 154, 47, 143, 123, 155, 103, 148, 138, 161, 82, 169, 169, 175, 176, 177, 177, 178,
67, 168, 145, 179, 151, 180, 181, 182, 83, 170, 173, 183, 184, 185, 186, 187, 12, 52, 30, 53,
45, 54, 51, 55, 66, 110, 109, 111, 110, 112, 111, 113, 40, 130, 99, 133, 121, 135, 126, 136,
68, 146, 155, 156, 157, 159, 158, 160, 35, 143, 129, 168, 105, 169, 149, 170, 67, 145, 168, 179,
151, 181, 180, 182, 63, 144, 144, 188, 140, 189, 189, 190, 69, 147, 172, 191, 164, 192, 193, 194,
14, 58, 32, 59, 56, 60, 57, 61, 78, 115, 114, 116, 115, 117, 116, 118, 44, 131, 101, 134,
122, 136, 127, 137, 81, 162, 161, 163, 164, 166, 165, 167, 58, 171, 131, 172, 115, 173, 162, 174,
83, 173, 170, 183, 184, 186, 185, 187, 69, 172, 147, 191, 164, 193, 192, 194, 84, 174, 174, 195,
196, 197, 197, 198, 1, 9, 11, 13, 5, 10, 12, 14, 5, 22, 29, 31, 27, 28, 30, 32,
5, 24, 41, 47, 29, 35, 52, 58, 7, 25, 42, 48, 30, 36, 53, 59, 4, 22, 39, 45,
22, 33, 45, 56, 6, 23, 40, 46, 28, 34, 51, 57, 6, 25, 43, 49, 31, 37, 54, 60,
8, 26, 44, 50, 32, 38, 55, 61, 11, 41, 39, 43, 29, 42, 40, 44, 41, 96, 98, 100,
95, 97, 99, 101, 29, 95, 98, 123, 128, 129, 130, 131, 42, 97, 119, 124, 129, 132, 133, 134,
39, 98, 120, 121, 98, 119, 121, 122, 43, 100, 121, 125, 123, 124, 126, 127, 40, 99, 121, 126,
130, 133, 135, 136, 44, 101, 122, 127, 131, 134, 136, 137, 9, 76, 41, 77, 41, 77, 66, 78,
24, 92, 95, 102, 95, 102, 109, 114, 22, 92, 96, 103, 98, 105, 110, 115, 25, 93, 97, 104,
99, 106, 111, 116, 22, 92, 98, 105, 96, 103, 110, 115, 25, 93, 99, 106, 97, 104, 111, 116,
23, 93, 100, 107, 100, 107, 112, 117, 26, 94, 101, 108, 101, 108, 113, 118, 13, 77, 43, 79,
52, 80, 68, 81, 47, 103, 123, 138, 143, 148, 155, 161, 31, 102, 100, 138, 130, 149, 146, 162,
48, 104, 124, 139, 144, 150, 156, 163, 45, 105, 121, 140, 110, 151, 157, 164, 49, 107, 126, 141,
145, 152, 158, 165, 46, 106, 125, 141, 146, 153, 159, 166, 50, 108, 127, 142, 147, 154, 160, 167,
5, 41, 29, 52, 24, 47, 35, 58, 29, 98, 128, 130, 95, 123, 129, 131, 27, 95, 95, 143,
95, 143, 143, 171, 30, 99, 129, 144, 109, 155, 168, 172, 22, 96, 98, 110, 92, 103, 105, 115,
31, 100, 130, 146, 102, 138, 149, 162, 28, 97, 123, 145, 102, 148, 169, 173, 32, 101, 131, 147,
114, 161, 170, 174, 12, 66, 40, 68, 35, 67, 63, 69, 52, 110, 130, 146, 143, 145, 144, 147,
30, 109, 99, 155, 129, 168, 144, 172, 53, 111, 133, 156, 168, 179, 188, 191, 45, 110, 121, 157,
105, 151, 140, 164, 54, 112, 135, 159, 169, 181, 189, 192, 51, 111, 126, 158, 149, 180, 189, 193,
55, 113, 136, 160, 170, 182, 190, 194, 10, 77, 42, 80, 47, 82, 67, 83, 35, 105, 129, 149,
143, 169, 168, 170, 28, 102, 97, 148, 123, 169, 145, 173, 36, 106, 132, 150, 155, 175, 179, 183,
33, 103, 119, 151, 103, 176, 151, 184, 37, 107, 133, 153, 148, 177, 180, 185, 34, 104, 124, 152,
138, 177, 181, 186, 38, 108, 134, 154, 161, 178, 182, 187, 14, 78, 44, 81, 58, 83, 69, 84,
58, 115, 131, 162, 171, 173, 172, 174, 32, 114, 101, 161, 131, 170, 147, 174, 59, 116, 134, 163,
172, 183, 191, 195, 56, 115, 122, 164, 115, 184, 164, 196, 60, 117, 136, 166, 173, 186, 193, 197,
57, 116, 127, 165, 162, 185, 192, 197, 61, 118, 137, 167, 174, 187, 194, 198, 2, 10, 12, 17,
6, 15, 16, 18, 10, 33, 35, 37, 28, 34, 36, 38, 12, 35, 66, 67, 40, 63, 68, 69,
17, 37, 67, 70, 51, 64, 71, 72, 6, 28, 40, 51, 23, 34, 46, 57, 15, 34, 63, 64,
34, 62, 64, 65, 16, 36, 68, 71, 46, 64, 73, 74, 18, 38, 69, 72, 57, 65, 74, 75,
13, 47, 45, 49, 31, 48, 46, 50, 77, 103, 105, 107, 102, 104, 106, 108, 52, 143, 110, 145,
130, 144, 146, 147, 80, 148, 151, 152, 149, 150, 153, 154, 43, 123, 121, 126, 100, 124, 125, 127,
79, 138, 140, 141, 138, 139, 141, 142, 68, 155, 157, 158, 146, 156, 159, 160, 81, 161, 164, 165,
162, 163, 166, 167, 13, 77, 52, 80, 43, 79, 68, 81, 47, 103, 143, 148, 123, 138, 155, 161,
45, 105, 110, 151, 121, 140, 157, 164, 49, 107, 145, 152, 126, 141, 158, 165, 31, 102, 130, 149,
100, 138, 146, 162, 48, 104, 144, 150, 124, 139, 156, 163, 46, 106, 146, 153, 125, 141, 159, 166,
50, 108, 147, 154, 127, 142, 160, 167, 19, 82, 54, 85, 54, 85, 73, 86, 82, 176, 169, 177,
169, 177, 175, 178, 54, 169, 112, 181, 135, 189, 159, 192, 85, 177, 181, 199, 189, 200, 201, 202,
54, 169, 135, 189, 112, 181, 159, 192, 85, 177, 189, 200, 181, 199, 201, 202, 73, 175, 159, 201,
159, 201, 203, 204, 86, 178, 192, 202, 192, 202, 204, 205, 7, 42, 30, 53, 25, 48, 36, 59,
42, 119, 129, 133, 97, 124, 132, 134, 30, 129, 109, 168, 99, 144, 155, 172, 53, 133, 168, 188,
111, 156, 179, 191, 25, 97, 99, 111, 93, 104, 106, 116, 48, 124, 144, 156, 104, 139, 150, 163,
36, 132, 155, 179, 106, 150, 175, 183, 59, 134, 172, 191, 116, 163, 183, 195, 17, 67, 51, 71,
37, 70, 64, 72, 80, 151, 149, 153, 148, 152, 150, 154, 53, 168, 111, 179, 133, 188, 156, 191,
87, 180, 180, 206, 180, 206, 206, 207, 49, 145, 126, 158, 107, 152, 141, 165, 85, 181, 189, 201,
177, 199, 200, 202, 71, 179, 158, 208, 153, 206, 201, 209, 88, 182, 193, 209, 185, 210, 211, 212,
17, 80, 53, 87, 49, 85, 71, 88, 67, 151, 168, 180, 145, 181, 179, 182, 51, 149, 111, 180,
126, 189, 158, 193, 71, 153, 179, 206, 158, 201, 208, 209, 37, 148, 133, 180, 107, 177, 153, 185,
70, 152, 188, 206, 152, 199, 206, 210, 64, 150, 156, 206, 141, 200, 201, 211, 72, 154, 191, 207,
165, 202, 209, 212, 20, 83, 55, 88, 60, 89, 74, 90, 83, 184, 170, 185, 173, 186, 183, 187,
55, 170, 113, 182, 136, 190, 160, 194, 88, 185, 182, 210, 193, 211, 209, 212, 60, 173, 136, 193,
117, 186, 166, 197, 89, 186, 190, 211, 186, 213, 211, 214, 74, 183, 160, 209, 166, 211, 204, 215,
90, 187, 194, 212, 197, 214, 215, 216, 1, 11, 9, 13, 5, 12, 10, 14, 11, 39, 41, 43,
29, 40, 42, 44, 9, 41, 76, 77, 41, 66, 77, 78, 13, 43, 77, 79, 52, 68, 80, 81,
5, 29, 41, 52, 24, 35, 47, 58, 12, 40, 66, 68, 35, 63, 67, 69, 10, 42, 77, 80,
47, 67, 82, 83, 14, 44, 78, 81, 58, 69, 83, 84, 5, 29, 22, 31, 27, 30, 28, 32,
41, 98, 96, 100, 95, 99, 97, 101, 24, 95, 92, 102, 95, 109, 102, 114, 47, 123, 103, 138,
143, 155, 148, 161, 29, 128, 98, 130, 95, 129, 123, 131, 52, 130, 110, 146, 143, 144, 145, 147,
35, 129, 105, 149, 143, 168, 169, 170, 58, 131, 115, 162, 171, 172, 173, 174, 5, 41, 24, 47,
29, 52, 35, 58, 29, 98, 95, 123, 128, 130, 129, 131, 22, 96, 92, 103, 98, 110, 105, 115,
31, 100, 102, 138, 130, 146, 149, 162, 27, 95, 95, 143, 95, 143, 143, 171, 30, 99, 109, 155,
129, 144, 168, 172, 28, 97, 102, 148, 123, 145, 169, 173, 32, 101, 114, 161, 131, 147, 170, 174,
7, 42, 25, 48, 30, 53, 36, 59, 42, 119, 97, 124, 129, 133, 132, 134, 25, 97, 93, 104,
99, 111, 106, 116, 48, 124, 104, 139, 144, 156, 150, 163, 30, 129, 99, 144, 109, 168, 155, 172,
53, 133, 111, 156, 168, 188, 179, 191, 36, 132, 106, 150, 155, 179, 175, 183, 59, 134, 116, 163,
172, 191, 183, 195, 4, 39, 22, 45, 22, 45, 33, 56, 39, 120, 98, 121, 98, 121, 119, 122,
22, 98, 92, 105, 96, 110, 103, 115, 45, 121, 105, 140, 110, 157, 151, 164, 22, 98, 96, 110,
92, 105, 103, 115, 45, 121, 110, 157, 105, 140, 151, 164, 33, 119, 103, 151, 103, 151, 176, 184,
56, 122, 115, 164, 115, 164, 184, 196, 6, 40, 23, 46, 28, 51, 34, 57, 43, 121, 100, 125,
123, 126, 124, 127, 25, 99, 93, 106, 97, 111, 104, 116, 49, 126, 107, 141, 145, 158, 152, 165,
31, 130, 100, 146, 102, 149, 138, 162, 54, 135, 112, 159, 169, 189, 181, 192, 37, 133, 107, 153,
148, 180, 177, 185, 60, 136, 117, 166, 173, 193, 186, 197, 6, 43, 25, 49, 31, 54, 37, 60,
40, 121, 99, 126, 130, 135, 133, 136, 23, 100, 93, 107, 100, 112, 107, 117, 46, 125, 106, 141,
146, 159, 153, 166, 28, 123, 97, 145, 102, 169, 148, 173, 51, 126, 111, 158, 149, 189, 180, 193,
34, 124, 104, 152, 138, 181, 177, 186, 57, 127, 116, 165, 162, 192, 185, 197, 8, 44, 26, 50,
32, 55, 38, 61, 44, 122, 101, 127, 131, 136, 134, 137, 26, 101, 94, 108, 101, 113, 108, 118,
50, 127, 108, 142, 147, 160, 154, 167, 32, 131, 101, 147, 114, 170, 161, 174, 55, 136, 113, 160,
170, 190, 182, 194, 38, 134, 108, 154, 161, 182, 178, 187, 61, 137, 118, 167, 174, 194, 187, 198,
2, 12, 10, 17, 6, 16, 15, 18, 13, 45, 47, 49, 31, 46, 48, 50, 13, 52, 77, 80,
43, 68, 79, 81, 19, 54, 82, 85, 54, 73, 85, 86, 7, 30, 42, 53, 25, 36, 48, 59,
17, 51, 67, 71, 37, 64, 70, 72, 17, 53, 80, 87, 49, 71, 85, 88, 20, 55, 83, 88,
60, 74, 89, 90, 10, 35, 33, 37, 28, 36, 34, 38, 77, 105, 103, 107, 102, 106, 104, 108,
47, 143, 103, 148, 123, 155, 138, 161, 82, 169, 176, 177, 169, 175, 177, 178, 42, 129, 119, 133,
97, 132, 124, 134, 80, 149, 151, 153, 148, 150, 152, 154, 67, 168, 151, 180, 145, 179, 181, 182,
83, 170, 184, 185, 173, 183, 186, 187, 12, 66, 35, 67, 40, 68, 63, 69, 52, 110, 143, 145,
130, 146, 144, 147, 45, 110, 105, 151, 121, 157, 140, 164, 54, 112, 169, 181, 135, 159, 189, 192,
30, 109, 129, 168, 99, 155, 144, 172, 53, 111, 168, 179, 133, 156, 188, 191, 51, 111, 149, 180,
126, 158, 189, 193, 55, 113, 170, 182, 136, 160, 190, 194, 17, 67, 37, 70, 51, 71, 64, 72,
80, 151, 148, 152, 149, 153, 150, 154, 49, 145, 107, 152, 126, 158, 141, 165, 85, 181, 177, 199,
189, 201, 200, 202, 53, 168, 133, 188, 111, 179, 156, 191, 87, 180, 180, 206, 180, 206, 206, 207,
71, 179, 153, 206, 158, 208, 201, 209, 88, 182, 185, 210, 193, 209, 211, 212, 6, 40, 28, 51,
23, 46, 34, 57, 43, 121, 123, 126, 100, 125, 124, 127, 31, 130, 102, 149, 100, 146, 138, 162,
54, 135, 169, 189, 112, 159, 181, 192, 25, 99, 97, 111, 93, 106, 104, 116, 49, 126, 145, 158,
107, 141, 152, 165, 37, 133, 148, 180, 107, 153, 177, 185, 60, 136, 173, 193, 117, 166, 186, 197,
15, 63, 34, 64, 34, 64, 62, 65, 79, 140, 138, 141, 138, 141, 139, 142, 48, 144, 104, 150,
124, 156, 139, 163, 85, 189, 177, 200, 181, 201, 199, 202, 48, 144, 124, 156, 104, 150, 139, 163,
85, 189, 181, 201, 177, 200, 199, 202, 70, 188, 152, 206, 152, 206, 199, 210, 89, 190, 186, 211,
186, 211, 213, 214, 16, 68, 36, 71, 46, 73, 64, 74, 68, 157, 155, 158, 146, 159, 156, 160,
46, 146, 106, 153, 125, 159, 141, 166, 73, 159, 175, 201, 159, 203, 201, 204, 36, 155, 132, 179,
106, 175, 150, 183, 71, 158, 179, 208, 153, 201, 206, 209, 64, 156, 150, 206, 141, 201, 200, 211,
74, 160, 183, 209, 166, 204, 211, 215, 18, 69, 38, 72, 57, 74, 65, 75, 81, 164, 161, 165,
162, 166, 163, 167, 50, 147, 108, 154, 127, 160, 142, 167, 86, 192, 178, 202, 192, 204, 202, 205,
59, 172, 134, 191, 116, 183, 163, 195, 88, 193, 182, 209, 185, 211, 210, 212, 72, 191, 154, 207,
165, 209, 202, 212, 90, 194, 187, 212, 197, 215, 214, 216, 2, 13, 13, 19, 7, 17, 17, 20,
12, 45, 52, 54, 30, 51, 53, 55, 10, 47, 77, 82, 42, 67, 80, 83, 17, 49, 80, 85,
53, 71, 87, 88, 6, 31, 43, 54, 25, 37, 49, 60, 16, 46, 68, 73, 36, 64, 71, 74,
15, 48, 79, 85, 48, 70, 85, 89, 18, 50, 81, 86, 59, 72, 88, 90, 12, 52, 45, 54,
30, 53, 51, 55, 66, 110, 110, 112, 109, 111, 111, 113, 35, 143, 105, 169, 129, 168, 149, 170,
67, 145, 151, 181, 168, 179, 180, 182, 40, 130, 121, 135, 99, 133, 126, 136, 68, 146, 157, 159,
155, 156, 158, 160, 63, 144, 140, 189, 144, 188, 189, 190, 69, 147, 164, 192, 172, 191, 193, 194,
10, 77, 47, 82, 42, 80, 67, 83, 35, 105, 143, 169, 129, 149, 168, 170, 33, 103, 103, 176,
119, 151, 151, 184, 37, 107, 148, 177, 133, 153, 180, 185, 28, 102, 123, 169, 97, 148, 145, 173,
36, 106, 155, 175, 132, 150, 179, 183, 34, 104, 138, 177, 124, 152, 181, 186, 38, 108, 161, 178,
134, 154, 182, 187, 17, 80, 49, 85, 53, 87, 71, 88, 67, 151, 145, 181, 168, 180, 179, 182,
37, 148, 107, 177, 133, 180, 153, 185, 70, 152, 152, 199, 188, 206, 206, 210, 51, 149, 126, 189,
111, 180, 158, 193, 71, 153, 158, 201, 179, 206, 208, 209, 64, 150, 141, 200, 156, 206, 201, 211,
72, 154, 165, 202, 191, 207, 209, 212, 6, 43, 31, 54, 25, 49, 37, 60, 40, 121, 130, 135,
99, 126, 133, 136, 28, 123, 102, 169, 97, 145, 148, 173, 51, 126, 149, 189, 111, 158, 180, 193,
23, 100, 100, 112, 93, 107, 107, 117, 46, 125, 146, 159, 106, 141, 153, 166, 34, 124, 138, 181,
104, 152, 177, 186, 57, 127, 162, 192, 116, 165, 185, 197, 16, 68, 46, 73, 36, 71, 64, 74,
68, 157, 146, 159, 155, 158, 156, 160, 36, 155, 106, 175, 132, 179, 150, 183, 71, 158, 153, 201,
179, 208, 206, 209, 46, 146, 125, 159, 106, 153, 141, 166, 73, 159, 159, 203, 175, 201, 201, 204,
64, 156, 141, 201, 150, 206, 200, 211, 74, 160, 166, 204, 183, 209, 211, 215, 15, 79, 48, 85,
48, 85, 70, 89, 63, 140, 144, 189, 144, 189, 188, 190, 34, 138, 104, 177, 124, 181, 152, 186,
64, 141, 150, 200, 156, 201, 206, 211, 34, 138, 124, 181, 104, 177, 152, 186, 64, 141, 156, 201,
150, 200, 206, 211, 62, 139, 139, 199, 139, 199, 199, 213, 65, 142, 163, 202, 163, 202, 210, 214,
18, 81, 50, 86, 59, 88, 72, 90, 69, 164, 147, 192, 172, 193, 191, 194, 38, 161, 108, 178,
134, 182, 154, 187, 72, 165, 154, 202, 191, 209, 207, 212, 57, 162, 127, 192, 116, 185, 165, 197,
74, 166, 160, 204, 183, 211, 209, 215, 65, 163, 142, 202, 163, 210, 202, 214, 75, 167, 167, 205,
195, 212, 212, 216, 3, 14, 14, 20, 8, 18, 18, 21, 14, 56, 58, 60, 32, 57, 59, 61,
14, 58, 78, 83, 44, 69, 81, 84, 20, 60, 83, 89, 55, 74, 88, 90, 8, 32, 44, 55,
26, 38, 50, 61, 18, 57, 69, 74, 38, 65, 72, 75, 18, 59, 81, 88, 50, 72, 86, 90,
21, 61, 84, 90, 61, 75, 90, 91, 14, 58, 56, 60, 32, 59, 57, 61, 78, 115, 115, 117,
114, 116, 116, 118, 58, 171, 115, 173, 131, 172, 162, 174, 83, 173, 184, 186, 170, 183, 185, 187,
44, 131, 122, 136, 101, 134, 127, 137, 81, 162, 164, 166, 161, 163, 165, 167, 69, 172, 164, 193,
147, 191, 192, 194, 84, 174, 196, 197, 174, 195, 197, 198, 14, 78, 58, 83, 44, 81, 69, 84,
58, 115, 171, 173, 131, 162, 172, 174, 56, 115, 115, 184, 122, 164, 164, 196, 60, 117, 173, 186,
136, 166, 193, 197, 32, 114, 131, 170, 101, 161, 147, 174, 59, 116, 172, 183, 134, 163, 191, 195,
57, 116, 162, 185, 127, 165, 192, 197, 61, 118, 174, 187, 137, 167, 194, 198, 20, 83, 60, 89,
55, 88, 74, 90, 83, 184, 173, 186, 170, 185, 183, 187, 60, 173, 117, 186, 136, 193, 166, 197,
89, 186, 186, 213, 190, 211, 211, 214, 55, 170, 136, 190, 113, 182, 160, 194, 88, 185, 193, 211,
182, 210, 209, 212, 74, 183, 166, 211, 160, 209, 204, 215, 90, 187, 197, 214, 194, 212, 215, 216,
8, 44, 32, 55, 26, 50, 38, 61, 44, 122, 131, 136, 101, 127, 134, 137, 32, 131, 114, 170,
101, 147, 161, 174, 55, 136, 170, 190, 113, 160, 182, 194, 26, 101, 101, 113, 94, 108, 108, 118,
50, 127, 147, 160, 108, 142, 154, 167, 38, 134, 161, 182, 108, 154, 178, 187, 61, 137, 174, 194,
118, 167, 187, 198, 18, 69, 57, 74, 38, 72, 65, 75, 81, 164, 162, 166, 161, 165, 163, 167,
59, 172, 116, 183, 134, 191, 163, 195, 88, 193, 185, 211, 182, 209, 210, 212, 50, 147, 127, 160,
108, 154, 142, 167, 86, 192, 192, 204, 178, 202, 202, 205, 72, 191, 165, 209, 154, 207, 202, 212,
90, 194, 197, 215, 187, 212, 214, 216, 18, 81, 59, 88, 50, 86, 72, 90, 69, 164, 172, 193,
147, 192, 191, 194, 57, 162, 116, 185, 127, 192, 165, 197, 74, 166, 183, 211, 160, 204, 209, 215,
38, 161, 134, 182, 108, 178, 154, 187, 72, 165, 191, 209, 154, 202, 207, 212, 65, 163, 163, 210,
142, 202, 202, 214, 75, 167, 195, 212, 167, 205, 212, 216, 21, 84, 61, 90, 61, 90, 75, 91,
84, 196, 174, 197, 174, 197, 195, 198, 61, 174, 118, 187, 137, 194, 167, 198, 90, 197, 187, 214,
194, 215, 212, 216, 61, 174, 137, 194, 118, 187, 167, 198, 90, 197, 194, 215, 187, 214, 212, 216,
75, 195, 167, 212, 167, 212, 205, 216, 91, 198, 198, 216, 198, 216, 216, 217
};
const unsigned int igraph_i_isoclass2_5u[] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 4, 5, 6, 6, 7, 1, 2, 5, 6, 2, 4, 6,
7, 2, 3, 6, 7, 6, 7, 8, 9, 1, 5, 2, 6, 2, 6, 4, 7, 2, 6, 3, 7, 6, 8,
7, 9, 2, 6, 6, 8, 3, 7, 7, 9, 4, 7, 7, 9, 7, 9, 9, 10, 1, 2, 2, 4, 5,
6, 6, 7, 2, 4, 4, 11, 12, 13, 13, 14, 5, 6, 12, 13, 12, 13, 15, 16,
6, 7, 13, 14, 15, 16, 17, 18, 5, 12, 6, 13, 12, 15, 13, 16, 6, 13, 7,
14, 15, 17, 16, 18, 12, 15, 15, 17, 19, 20, 20, 21, 13, 16, 16, 18,
20, 21, 21, 22, 1, 2, 5, 6, 2, 4, 6, 7, 5, 6, 12, 13, 12, 13, 15, 16,
2, 4, 12, 13, 4, 11, 13, 14, 6, 7, 15, 16, 13, 14, 17, 18, 5, 12, 12,
15, 6, 13, 13, 16, 12, 15, 19, 20, 15, 17, 20, 21, 6, 13, 15, 17, 7,
14, 16, 18, 13, 16, 20, 21, 16, 18, 21, 22, 2, 3, 6, 7, 6, 7, 8, 9,
6, 7, 13, 14, 15, 16, 17, 18, 6, 7, 15, 16, 13, 14, 17, 18, 8, 9, 17,
18, 17, 18, 23, 24, 12, 19, 15, 20, 15, 20, 17, 21, 15, 20, 20, 25,
26, 27, 27, 28, 15, 20, 26, 27, 20, 25, 27, 28, 17, 21, 27, 28, 27,
28, 29, 30, 1, 5, 2, 6, 2, 6, 4, 7, 5, 12, 6, 13, 12, 15, 13, 16, 5,
12, 12, 15, 6, 13, 13, 16, 12, 19, 15, 20, 15, 20, 17, 21, 2, 12, 4,
13, 4, 13, 11, 14, 6, 15, 7, 16, 13, 17, 14, 18, 6, 15, 13, 17, 7,
16, 14, 18, 13, 20, 16, 21, 16, 21, 18, 22, 2, 6, 3, 7, 6, 8, 7, 9,
6, 13, 7, 14, 15, 17, 16, 18, 12, 15, 19, 20, 15, 17, 20, 21, 15, 20,
20, 25, 26, 27, 27, 28, 6, 15, 7, 16, 13, 17, 14, 18, 8, 17, 9, 18,
17, 23, 18, 24, 15, 26, 20, 27, 20, 27, 25, 28, 17, 27, 21, 28, 27,
29, 28, 30, 2, 6, 6, 8, 3, 7, 7, 9, 12, 15, 15, 17, 19, 20, 20, 21,
6, 13, 15, 17, 7, 14, 16, 18, 15, 20, 26, 27, 20, 25, 27, 28, 6, 15,
13, 17, 7, 16, 14, 18, 15, 26, 20, 27, 20, 27, 25, 28, 8, 17, 17, 23,
9, 18, 18, 24, 17, 27, 27, 29, 21, 28, 28, 30, 4, 7, 7, 9, 7, 9, 9,
10, 13, 16, 16, 18, 20, 21, 21, 22, 13, 16, 20, 21, 16, 18, 21, 22,
17, 21, 27, 28, 27, 28, 29, 30, 13, 20, 16, 21, 16, 21, 18, 22, 17,
27, 21, 28, 27, 29, 28, 30, 17, 27, 27, 29, 21, 28, 28, 30, 23, 29,
29, 31, 29, 31, 31, 32, 1, 5, 5, 12, 5, 12, 12, 19, 2, 6, 6, 13, 12,
15, 15, 20, 2, 6, 12, 15, 6, 13, 15, 20, 4, 7, 13, 16, 13, 16, 17,
21, 2, 12, 6, 15, 6, 15, 13, 20, 4, 13, 7, 16, 13, 17, 16, 21, 4, 13,
13, 17, 7, 16, 16, 21, 11, 14, 14, 18, 14, 18, 18, 22, 2, 6, 6, 13,
12, 15, 15, 20, 3, 7, 7, 14, 19, 20, 20, 25, 6, 8, 15, 17, 15, 17,
26, 27, 7, 9, 16, 18, 20, 21, 27, 28, 6, 15, 8, 17, 15, 26, 17, 27,
7, 16, 9, 18, 20, 27, 21, 28, 13, 17, 17, 23, 20, 27, 27, 29, 14, 18,
18, 24, 25, 28, 28, 30, 2, 6, 12, 15, 6, 13, 15, 20, 6, 8, 15, 17,
15, 17, 26, 27, 3, 7, 19, 20, 7, 14, 20, 25, 7, 9, 20, 21, 16, 18,
27, 28, 6, 15, 15, 26, 8, 17, 17, 27, 13, 17, 20, 27, 17, 23, 27, 29,
7, 16, 20, 27, 9, 18, 21, 28, 14, 18, 25, 28, 18, 24, 28, 30, 4, 7,
13, 16, 13, 16, 17, 21, 7, 9, 16, 18, 20, 21, 27, 28, 7, 9, 20, 21,
16, 18, 27, 28, 9, 10, 21, 22, 21, 22, 29, 30, 13, 20, 17, 27, 17,
27, 23, 29, 16, 21, 21, 28, 27, 29, 29, 31, 16, 21, 27, 29, 21, 28,
29, 31, 18, 22, 28, 30, 28, 30, 31, 32, 2, 12, 6, 15, 6, 15, 13, 20,
6, 15, 8, 17, 15, 26, 17, 27, 6, 15, 15, 26, 8, 17, 17, 27, 13, 20,
17, 27, 17, 27, 23, 29, 3, 19, 7, 20, 7, 20, 14, 25, 7, 20, 9, 21,
16, 27, 18, 28, 7, 20, 16, 27, 9, 21, 18, 28, 14, 25, 18, 28, 18, 28,
24, 30, 4, 13, 7, 16, 13, 17, 16, 21, 7, 16, 9, 18, 20, 27, 21, 28,
13, 17, 20, 27, 17, 23, 27, 29, 16, 21, 21, 28, 27, 29, 29, 31, 7,
20, 9, 21, 16, 27, 18, 28, 9, 21, 10, 22, 21, 29, 22, 30, 16, 27, 21,
29, 21, 29, 28, 31, 18, 28, 22, 30, 28, 31, 30, 32, 4, 13, 13, 17, 7,
16, 16, 21, 13, 17, 17, 23, 20, 27, 27, 29, 7, 16, 20, 27, 9, 18, 21,
28, 16, 21, 27, 29, 21, 28, 29, 31, 7, 20, 16, 27, 9, 21, 18, 28, 16,
27, 21, 29, 21, 29, 28, 31, 9, 21, 21, 29, 10, 22, 22, 30, 18, 28,
28, 31, 22, 30, 30, 32, 11, 14, 14, 18, 14, 18, 18, 22, 14, 18, 18,
24, 25, 28, 28, 30, 14, 18, 25, 28, 18, 24, 28, 30, 18, 22, 28, 30,
28, 30, 31, 32, 14, 25, 18, 28, 18, 28, 24, 30, 18, 28, 22, 30, 28,
31, 30, 32, 18, 28, 28, 31, 22, 30, 30, 32, 24, 30, 30, 32, 30, 32,
32, 33
};
const unsigned int igraph_i_isoclass2_6u[] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 4, 5, 6, 6, 7, 1, 2, 5, 6, 2, 4, 6,
7, 2, 3, 6, 7, 6, 7, 8, 9, 1, 5, 2, 6, 2, 6, 4, 7, 2, 6, 3, 7, 6, 8,
7, 9, 2, 6, 6, 8, 3, 7, 7, 9, 4, 7, 7, 9, 7, 9, 9, 10, 1, 2, 2, 4, 5,
6, 6, 7, 2, 4, 4, 11, 12, 13, 13, 14, 5, 6, 12, 13, 12, 13, 15, 16,
6, 7, 13, 14, 15, 16, 17, 18, 5, 12, 6, 13, 12, 15, 13, 16, 6, 13, 7,
14, 15, 17, 16, 18, 12, 15, 15, 17, 19, 20, 20, 21, 13, 16, 16, 18,
20, 21, 21, 22, 1, 2, 5, 6, 2, 4, 6, 7, 5, 6, 12, 13, 12, 13, 15, 16,
2, 4, 12, 13, 4, 11, 13, 14, 6, 7, 15, 16, 13, 14, 17, 18, 5, 12, 12,
15, 6, 13, 13, 16, 12, 15, 19, 20, 15, 17, 20, 21, 6, 13, 15, 17, 7,
14, 16, 18, 13, 16, 20, 21, 16, 18, 21, 22, 2, 3, 6, 7, 6, 7, 8, 9,
6, 7, 13, 14, 15, 16, 17, 18, 6, 7, 15, 16, 13, 14, 17, 18, 8, 9, 17,
18, 17, 18, 23, 24, 12, 19, 15, 20, 15, 20, 17, 21, 15, 20, 20, 25,
26, 27, 27, 28, 15, 20, 26, 27, 20, 25, 27, 28, 17, 21, 27, 28, 27,
28, 29, 30, 1, 5, 2, 6, 2, 6, 4, 7, 5, 12, 6, 13, 12, 15, 13, 16, 5,
12, 12, 15, 6, 13, 13, 16, 12, 19, 15, 20, 15, 20, 17, 21, 2, 12, 4,
13, 4, 13, 11, 14, 6, 15, 7, 16, 13, 17, 14, 18, 6, 15, 13, 17, 7,
16, 14, 18, 13, 20, 16, 21, 16, 21, 18, 22, 2, 6, 3, 7, 6, 8, 7, 9,
6, 13, 7, 14, 15, 17, 16, 18, 12, 15, 19, 20, 15, 17, 20, 21, 15, 20,
20, 25, 26, 27, 27, 28, 6, 15, 7, 16, 13, 17, 14, 18, 8, 17, 9, 18,
17, 23, 18, 24, 15, 26, 20, 27, 20, 27, 25, 28, 17, 27, 21, 28, 27,
29, 28, 30, 2, 6, 6, 8, 3, 7, 7, 9, 12, 15, 15, 17, 19, 20, 20, 21,
6, 13, 15, 17, 7, 14, 16, 18, 15, 20, 26, 27, 20, 25, 27, 28, 6, 15,
13, 17, 7, 16, 14, 18, 15, 26, 20, 27, 20, 27, 25, 28, 8, 17, 17, 23,
9, 18, 18, 24, 17, 27, 27, 29, 21, 28, 28, 30, 4, 7, 7, 9, 7, 9, 9,
10, 13, 16, 16, 18, 20, 21, 21, 22, 13, 16, 20, 21, 16, 18, 21, 22,
17, 21, 27, 28, 27, 28, 29, 30, 13, 20, 16, 21, 16, 21, 18, 22, 17,
27, 21, 28, 27, 29, 28, 30, 17, 27, 27, 29, 21, 28, 28, 30, 23, 29,
29, 31, 29, 31, 31, 32, 1, 5, 5, 12, 5, 12, 12, 19, 2, 6, 6, 13, 12,
15, 15, 20, 2, 6, 12, 15, 6, 13, 15, 20, 4, 7, 13, 16, 13, 16, 17,
21, 2, 12, 6, 15, 6, 15, 13, 20, 4, 13, 7, 16, 13, 17, 16, 21, 4, 13,
13, 17, 7, 16, 16, 21, 11, 14, 14, 18, 14, 18, 18, 22, 2, 6, 6, 13,
12, 15, 15, 20, 3, 7, 7, 14, 19, 20, 20, 25, 6, 8, 15, 17, 15, 17,
26, 27, 7, 9, 16, 18, 20, 21, 27, 28, 6, 15, 8, 17, 15, 26, 17, 27,
7, 16, 9, 18, 20, 27, 21, 28, 13, 17, 17, 23, 20, 27, 27, 29, 14, 18,
18, 24, 25, 28, 28, 30, 2, 6, 12, 15, 6, 13, 15, 20, 6, 8, 15, 17,
15, 17, 26, 27, 3, 7, 19, 20, 7, 14, 20, 25, 7, 9, 20, 21, 16, 18,
27, 28, 6, 15, 15, 26, 8, 17, 17, 27, 13, 17, 20, 27, 17, 23, 27, 29,
7, 16, 20, 27, 9, 18, 21, 28, 14, 18, 25, 28, 18, 24, 28, 30, 4, 7,
13, 16, 13, 16, 17, 21, 7, 9, 16, 18, 20, 21, 27, 28, 7, 9, 20, 21,
16, 18, 27, 28, 9, 10, 21, 22, 21, 22, 29, 30, 13, 20, 17, 27, 17,
27, 23, 29, 16, 21, 21, 28, 27, 29, 29, 31, 16, 21, 27, 29, 21, 28,
29, 31, 18, 22, 28, 30, 28, 30, 31, 32, 2, 12, 6, 15, 6, 15, 13, 20,
6, 15, 8, 17, 15, 26, 17, 27, 6, 15, 15, 26, 8, 17, 17, 27, 13, 20,
17, 27, 17, 27, 23, 29, 3, 19, 7, 20, 7, 20, 14, 25, 7, 20, 9, 21,
16, 27, 18, 28, 7, 20, 16, 27, 9, 21, 18, 28, 14, 25, 18, 28, 18, 28,
24, 30, 4, 13, 7, 16, 13, 17, 16, 21, 7, 16, 9, 18, 20, 27, 21, 28,
13, 17, 20, 27, 17, 23, 27, 29, 16, 21, 21, 28, 27, 29, 29, 31, 7,
20, 9, 21, 16, 27, 18, 28, 9, 21, 10, 22, 21, 29, 22, 30, 16, 27, 21,
29, 21, 29, 28, 31, 18, 28, 22, 30, 28, 31, 30, 32, 4, 13, 13, 17, 7,
16, 16, 21, 13, 17, 17, 23, 20, 27, 27, 29, 7, 16, 20, 27, 9, 18, 21,
28, 16, 21, 27, 29, 21, 28, 29, 31, 7, 20, 16, 27, 9, 21, 18, 28, 16,
27, 21, 29, 21, 29, 28, 31, 9, 21, 21, 29, 10, 22, 22, 30, 18, 28,
28, 31, 22, 30, 30, 32, 11, 14, 14, 18, 14, 18, 18, 22, 14, 18, 18,
24, 25, 28, 28, 30, 14, 18, 25, 28, 18, 24, 28, 30, 18, 22, 28, 30,
28, 30, 31, 32, 14, 25, 18, 28, 18, 28, 24, 30, 18, 28, 22, 30, 28,
31, 30, 32, 18, 28, 28, 31, 22, 30, 30, 32, 24, 30, 30, 32, 30, 32,
32, 33, 1, 2, 2, 4, 5, 6, 6, 7, 2, 4, 4, 11, 12, 13, 13, 14, 5, 6,
12, 13, 12, 13, 15, 16, 6, 7, 13, 14, 15, 16, 17, 18, 5, 12, 6, 13,
12, 15, 13, 16, 6, 13, 7, 14, 15, 17, 16, 18, 12, 15, 15, 17, 19, 20,
20, 21, 13, 16, 16, 18, 20, 21, 21, 22, 2, 4, 4, 11, 12, 13, 13, 14,
4, 11, 11, 34, 35, 36, 36, 37, 12, 13, 35, 36, 38, 39, 40, 41, 13,
14, 36, 37, 40, 41, 42, 43, 12, 35, 13, 36, 38, 40, 39, 41, 13, 36,
14, 37, 40, 42, 41, 43, 38, 40, 40, 42, 44, 45, 45, 46, 39, 41, 41,
43, 45, 46, 46, 47, 5, 6, 12, 13, 12, 13, 15, 16, 12, 13, 35, 36, 38,
39, 40, 41, 12, 13, 38, 39, 35, 36, 40, 41, 15, 16, 40, 41, 40, 41,
48, 49, 50, 51, 51, 52, 51, 52, 52, 53, 51, 52, 54, 55, 56, 57, 58,
59, 51, 52, 56, 57, 54, 55, 58, 59, 52, 53, 58, 59, 58, 59, 60, 61,
6, 7, 13, 14, 15, 16, 17, 18, 13, 14, 36, 37, 40, 41, 42, 43, 15, 16,
40, 41, 40, 41, 48, 49, 17, 18, 42, 43, 48, 49, 62, 63, 51, 54, 52,
55, 56, 58, 57, 59, 52, 55, 55, 64, 65, 66, 66, 67, 56, 58, 65, 66,
68, 69, 70, 71, 57, 59, 66, 67, 70, 71, 72, 73, 5, 12, 6, 13, 12, 15,
13, 16, 12, 35, 13, 36, 38, 40, 39, 41, 50, 51, 51, 52, 51, 52, 52,
53, 51, 54, 52, 55, 56, 58, 57, 59, 12, 38, 13, 39, 35, 40, 36, 41,
15, 40, 16, 41, 40, 48, 41, 49, 51, 56, 52, 57, 54, 58, 55, 59, 52,
58, 53, 59, 58, 60, 59, 61, 6, 13, 7, 14, 15, 17, 16, 18, 13, 36, 14,
37, 40, 42, 41, 43, 51, 52, 54, 55, 56, 57, 58, 59, 52, 55, 55, 64,
65, 66, 66, 67, 15, 40, 16, 41, 40, 48, 41, 49, 17, 42, 18, 43, 48,
62, 49, 63, 56, 65, 58, 66, 68, 70, 69, 71, 57, 66, 59, 67, 70, 72,
71, 73, 12, 15, 15, 17, 19, 20, 20, 21, 38, 40, 40, 42, 44, 45, 45,
46, 51, 52, 56, 57, 54, 55, 58, 59, 56, 58, 65, 66, 68, 69, 70, 71,
51, 56, 52, 57, 54, 58, 55, 59, 56, 65, 58, 66, 68, 70, 69, 71, 74,
75, 75, 76, 77, 78, 78, 79, 75, 80, 80, 81, 82, 83, 83, 84, 13, 16,
16, 18, 20, 21, 21, 22, 39, 41, 41, 43, 45, 46, 46, 47, 52, 53, 58,
59, 58, 59, 60, 61, 57, 59, 66, 67, 70, 71, 72, 73, 52, 58, 53, 59,
58, 60, 59, 61, 57, 66, 59, 67, 70, 72, 71, 73, 75, 80, 80, 81, 82,
83, 83, 84, 76, 81, 81, 85, 86, 87, 87, 88, 5, 12, 12, 35, 50, 51,
51, 54, 6, 13, 13, 36, 51, 52, 52, 55, 12, 15, 38, 40, 51, 52, 56,
58, 13, 16, 39, 41, 52, 53, 57, 59, 12, 38, 15, 40, 51, 56, 52, 58,
13, 39, 16, 41, 52, 57, 53, 59, 35, 40, 40, 48, 54, 58, 58, 60, 36,
41, 41, 49, 55, 59, 59, 61, 6, 13, 13, 36, 51, 52, 52, 55, 7, 14, 14,
37, 54, 55, 55, 64, 15, 17, 40, 42, 56, 57, 65, 66, 16, 18, 41, 43,
58, 59, 66, 67, 15, 40, 17, 42, 56, 65, 57, 66, 16, 41, 18, 43, 58,
66, 59, 67, 40, 48, 48, 62, 68, 70, 70, 72, 41, 49, 49, 63, 69, 71,
71, 73, 12, 15, 38, 40, 51, 52, 56, 58, 15, 17, 40, 42, 56, 57, 65,
66, 19, 20, 44, 45, 54, 55, 68, 69, 20, 21, 45, 46, 58, 59, 70, 71,
51, 56, 56, 65, 74, 75, 75, 80, 52, 57, 58, 66, 75, 76, 80, 81, 54,
58, 68, 70, 77, 78, 82, 83, 55, 59, 69, 71, 78, 79, 83, 84, 13, 16,
39, 41, 52, 53, 57, 59, 16, 18, 41, 43, 58, 59, 66, 67, 20, 21, 45,
46, 58, 59, 70, 71, 21, 22, 46, 47, 60, 61, 72, 73, 52, 58, 57, 66,
75, 80, 76, 81, 53, 59, 59, 67, 80, 81, 81, 85, 58, 60, 70, 72, 82,
83, 86, 87, 59, 61, 71, 73, 83, 84, 87, 88, 12, 38, 15, 40, 51, 56,
52, 58, 15, 40, 17, 42, 56, 65, 57, 66, 51, 56, 56, 65, 74, 75, 75,
80, 52, 58, 57, 66, 75, 80, 76, 81, 19, 44, 20, 45, 54, 68, 55, 69,
20, 45, 21, 46, 58, 70, 59, 71, 54, 68, 58, 70, 77, 82, 78, 83, 55,
69, 59, 71, 78, 83, 79, 84, 13, 39, 16, 41, 52, 57, 53, 59, 16, 41,
18, 43, 58, 66, 59, 67, 52, 57, 58, 66, 75, 76, 80, 81, 53, 59, 59,
67, 80, 81, 81, 85, 20, 45, 21, 46, 58, 70, 59, 71, 21, 46, 22, 47,
60, 72, 61, 73, 58, 70, 60, 72, 82, 86, 83, 87, 59, 71, 61, 73, 83,
87, 84, 88, 35, 40, 40, 48, 54, 58, 58, 60, 40, 48, 48, 62, 68, 70,
70, 72, 54, 58, 68, 70, 77, 78, 82, 83, 58, 60, 70, 72, 82, 83, 86,
87, 54, 68, 58, 70, 77, 82, 78, 83, 58, 70, 60, 72, 82, 86, 83, 87,
77, 82, 82, 86, 89, 90, 90, 91, 78, 83, 83, 87, 90, 91, 91, 92, 36,
41, 41, 49, 55, 59, 59, 61, 41, 49, 49, 63, 69, 71, 71, 73, 55, 59,
69, 71, 78, 79, 83, 84, 59, 61, 71, 73, 83, 84, 87, 88, 55, 69, 59,
71, 78, 83, 79, 84, 59, 71, 61, 73, 83, 87, 84, 88, 78, 83, 83, 87,
90, 91, 91, 92, 79, 84, 84, 88, 91, 92, 92, 93, 1, 2, 5, 6, 2, 4, 6,
7, 5, 6, 12, 13, 12, 13, 15, 16, 2, 4, 12, 13, 4, 11, 13, 14, 6, 7,
15, 16, 13, 14, 17, 18, 5, 12, 12, 15, 6, 13, 13, 16, 12, 15, 19, 20,
15, 17, 20, 21, 6, 13, 15, 17, 7, 14, 16, 18, 13, 16, 20, 21, 16, 18,
21, 22, 5, 6, 12, 13, 12, 13, 15, 16, 12, 13, 35, 36, 38, 39, 40, 41,
12, 13, 38, 39, 35, 36, 40, 41, 15, 16, 40, 41, 40, 41, 48, 49, 50,
51, 51, 52, 51, 52, 52, 53, 51, 52, 54, 55, 56, 57, 58, 59, 51, 52,
56, 57, 54, 55, 58, 59, 52, 53, 58, 59, 58, 59, 60, 61, 2, 4, 12, 13,
4, 11, 13, 14, 12, 13, 38, 39, 35, 36, 40, 41, 4, 11, 35, 36, 11, 34,
36, 37, 13, 14, 40, 41, 36, 37, 42, 43, 12, 35, 38, 40, 13, 36, 39,
41, 38, 40, 44, 45, 40, 42, 45, 46, 13, 36, 40, 42, 14, 37, 41, 43,
39, 41, 45, 46, 41, 43, 46, 47, 6, 7, 15, 16, 13, 14, 17, 18, 15, 16,
40, 41, 40, 41, 48, 49, 13, 14, 40, 41, 36, 37, 42, 43, 17, 18, 48,
49, 42, 43, 62, 63, 51, 54, 56, 58, 52, 55, 57, 59, 56, 58, 68, 69,
65, 66, 70, 71, 52, 55, 65, 66, 55, 64, 66, 67, 57, 59, 70, 71, 66,
67, 72, 73, 5, 12, 12, 15, 6, 13, 13, 16, 50, 51, 51, 52, 51, 52, 52,
53, 12, 35, 38, 40, 13, 36, 39, 41, 51, 54, 56, 58, 52, 55, 57, 59,
12, 38, 35, 40, 13, 39, 36, 41, 51, 56, 54, 58, 52, 57, 55, 59, 15,
40, 40, 48, 16, 41, 41, 49, 52, 58, 58, 60, 53, 59, 59, 61, 12, 15,
19, 20, 15, 17, 20, 21, 51, 52, 54, 55, 56, 57, 58, 59, 38, 40, 44,
45, 40, 42, 45, 46, 56, 58, 68, 69, 65, 66, 70, 71, 51, 56, 54, 58,
52, 57, 55, 59, 74, 75, 77, 78, 75, 76, 78, 79, 56, 65, 68, 70, 58,
66, 69, 71, 75, 80, 82, 83, 80, 81, 83, 84, 6, 13, 15, 17, 7, 14, 16,
18, 51, 52, 56, 57, 54, 55, 58, 59, 13, 36, 40, 42, 14, 37, 41, 43,
52, 55, 65, 66, 55, 64, 66, 67, 15, 40, 40, 48, 16, 41, 41, 49, 56,
65, 68, 70, 58, 66, 69, 71, 17, 42, 48, 62, 18, 43, 49, 63, 57, 66,
70, 72, 59, 67, 71, 73, 13, 16, 20, 21, 16, 18, 21, 22, 52, 53, 58,
59, 58, 59, 60, 61, 39, 41, 45, 46, 41, 43, 46, 47, 57, 59, 70, 71,
66, 67, 72, 73, 52, 58, 58, 60, 53, 59, 59, 61, 75, 80, 82, 83, 80,
81, 83, 84, 57, 66, 70, 72, 59, 67, 71, 73, 76, 81, 86, 87, 81, 85,
87, 88, 5, 12, 50, 51, 12, 35, 51, 54, 12, 15, 51, 52, 38, 40, 56,
58, 6, 13, 51, 52, 13, 36, 52, 55, 13, 16, 52, 53, 39, 41, 57, 59,
12, 38, 51, 56, 15, 40, 52, 58, 35, 40, 54, 58, 40, 48, 58, 60, 13,
39, 52, 57, 16, 41, 53, 59, 36, 41, 55, 59, 41, 49, 59, 61, 12, 15,
51, 52, 38, 40, 56, 58, 19, 20, 54, 55, 44, 45, 68, 69, 15, 17, 56,
57, 40, 42, 65, 66, 20, 21, 58, 59, 45, 46, 70, 71, 51, 56, 74, 75,
56, 65, 75, 80, 54, 58, 77, 78, 68, 70, 82, 83, 52, 57, 75, 76, 58,
66, 80, 81, 55, 59, 78, 79, 69, 71, 83, 84, 6, 13, 51, 52, 13, 36,
52, 55, 15, 17, 56, 57, 40, 42, 65, 66, 7, 14, 54, 55, 14, 37, 55,
64, 16, 18, 58, 59, 41, 43, 66, 67, 15, 40, 56, 65, 17, 42, 57, 66,
40, 48, 68, 70, 48, 62, 70, 72, 16, 41, 58, 66, 18, 43, 59, 67, 41,
49, 69, 71, 49, 63, 71, 73, 13, 16, 52, 53, 39, 41, 57, 59, 20, 21,
58, 59, 45, 46, 70, 71, 16, 18, 58, 59, 41, 43, 66, 67, 21, 22, 60,
61, 46, 47, 72, 73, 52, 58, 75, 80, 57, 66, 76, 81, 58, 60, 82, 83,
70, 72, 86, 87, 53, 59, 80, 81, 59, 67, 81, 85, 59, 61, 83, 84, 71,
73, 87, 88, 12, 38, 51, 56, 15, 40, 52, 58, 51, 56, 74, 75, 56, 65,
75, 80, 15, 40, 56, 65, 17, 42, 57, 66, 52, 58, 75, 80, 57, 66, 76,
81, 19, 44, 54, 68, 20, 45, 55, 69, 54, 68, 77, 82, 58, 70, 78, 83,
20, 45, 58, 70, 21, 46, 59, 71, 55, 69, 78, 83, 59, 71, 79, 84, 35,
40, 54, 58, 40, 48, 58, 60, 54, 58, 77, 78, 68, 70, 82, 83, 40, 48,
68, 70, 48, 62, 70, 72, 58, 60, 82, 83, 70, 72, 86, 87, 54, 68, 77,
82, 58, 70, 78, 83, 77, 82, 89, 90, 82, 86, 90, 91, 58, 70, 82, 86,
60, 72, 83, 87, 78, 83, 90, 91, 83, 87, 91, 92, 13, 39, 52, 57, 16,
41, 53, 59, 52, 57, 75, 76, 58, 66, 80, 81, 16, 41, 58, 66, 18, 43,
59, 67, 53, 59, 80, 81, 59, 67, 81, 85, 20, 45, 58, 70, 21, 46, 59,
71, 58, 70, 82, 86, 60, 72, 83, 87, 21, 46, 60, 72, 22, 47, 61, 73,
59, 71, 83, 87, 61, 73, 84, 88, 36, 41, 55, 59, 41, 49, 59, 61, 55,
59, 78, 79, 69, 71, 83, 84, 41, 49, 69, 71, 49, 63, 71, 73, 59, 61,
83, 84, 71, 73, 87, 88, 55, 69, 78, 83, 59, 71, 79, 84, 78, 83, 90,
91, 83, 87, 91, 92, 59, 71, 83, 87, 61, 73, 84, 88, 79, 84, 91, 92,
84, 88, 92, 93, 2, 3, 6, 7, 6, 7, 8, 9, 6, 7, 13, 14, 15, 16, 17, 18,
6, 7, 15, 16, 13, 14, 17, 18, 8, 9, 17, 18, 17, 18, 23, 24, 12, 19,
15, 20, 15, 20, 17, 21, 15, 20, 20, 25, 26, 27, 27, 28, 15, 20, 26,
27, 20, 25, 27, 28, 17, 21, 27, 28, 27, 28, 29, 30, 6, 7, 13, 14, 15,
16, 17, 18, 13, 14, 36, 37, 40, 41, 42, 43, 15, 16, 40, 41, 40, 41,
48, 49, 17, 18, 42, 43, 48, 49, 62, 63, 51, 54, 52, 55, 56, 58, 57,
59, 52, 55, 55, 64, 65, 66, 66, 67, 56, 58, 65, 66, 68, 69, 70, 71,
57, 59, 66, 67, 70, 71, 72, 73, 6, 7, 15, 16, 13, 14, 17, 18, 15, 16,
40, 41, 40, 41, 48, 49, 13, 14, 40, 41, 36, 37, 42, 43, 17, 18, 48,
49, 42, 43, 62, 63, 51, 54, 56, 58, 52, 55, 57, 59, 56, 58, 68, 69,
65, 66, 70, 71, 52, 55, 65, 66, 55, 64, 66, 67, 57, 59, 70, 71, 66,
67, 72, 73, 8, 9, 17, 18, 17, 18, 23, 24, 17, 18, 42, 43, 48, 49, 62,
63, 17, 18, 48, 49, 42, 43, 62, 63, 23, 24, 62, 63, 62, 63, 94, 95,
74, 77, 75, 78, 75, 78, 76, 79, 75, 78, 96, 97, 98, 99, 100, 101, 75,
78, 98, 99, 96, 97, 100, 101, 76, 79, 100, 101, 100, 101, 102, 103,
12, 19, 15, 20, 15, 20, 17, 21, 51, 54, 52, 55, 56, 58, 57, 59, 51,
54, 56, 58, 52, 55, 57, 59, 74, 77, 75, 78, 75, 78, 76, 79, 38, 44,
40, 45, 40, 45, 42, 46, 56, 68, 58, 69, 65, 70, 66, 71, 56, 68, 65,
70, 58, 69, 66, 71, 75, 82, 80, 83, 80, 83, 81, 84, 15, 20, 20, 25,
26, 27, 27, 28, 52, 55, 55, 64, 65, 66, 66, 67, 56, 58, 68, 69, 65,
66, 70, 71, 75, 78, 96, 97, 98, 99, 100, 101, 56, 68, 58, 69, 65, 70,
66, 71, 75, 96, 78, 97, 98, 100, 99, 101, 104, 105, 105, 106, 105,
106, 106, 107, 108, 109, 109, 110, 111, 112, 112, 113, 15, 20, 26,
27, 20, 25, 27, 28, 56, 58, 65, 66, 68, 69, 70, 71, 52, 55, 65, 66,
55, 64, 66, 67, 75, 78, 98, 99, 96, 97, 100, 101, 56, 68, 65, 70, 58,
69, 66, 71, 104, 105, 105, 106, 105, 106, 106, 107, 75, 96, 98, 100,
78, 97, 99, 101, 108, 109, 111, 112, 109, 110, 112, 113, 17, 21, 27,
28, 27, 28, 29, 30, 57, 59, 66, 67, 70, 71, 72, 73, 57, 59, 70, 71,
66, 67, 72, 73, 76, 79, 100, 101, 100, 101, 102, 103, 75, 82, 80, 83,
80, 83, 81, 84, 108, 109, 109, 110, 111, 112, 112, 113, 108, 109,
111, 112, 109, 110, 112, 113, 114, 115, 116, 117, 116, 117, 118, 119,
12, 19, 51, 54, 51, 54, 74, 77, 15, 20, 52, 55, 56, 58, 75, 78, 15,
20, 56, 58, 52, 55, 75, 78, 17, 21, 57, 59, 57, 59, 76, 79, 38, 44,
56, 68, 56, 68, 75, 82, 40, 45, 58, 69, 65, 70, 80, 83, 40, 45, 65,
70, 58, 69, 80, 83, 42, 46, 66, 71, 66, 71, 81, 84, 15, 20, 52, 55,
56, 58, 75, 78, 20, 25, 55, 64, 68, 69, 96, 97, 26, 27, 65, 66, 65,
66, 98, 99, 27, 28, 66, 67, 70, 71, 100, 101, 56, 68, 75, 96, 104,
105, 108, 109, 58, 69, 78, 97, 105, 106, 109, 110, 65, 70, 98, 100,
105, 106, 111, 112, 66, 71, 99, 101, 106, 107, 112, 113, 15, 20, 56,
58, 52, 55, 75, 78, 26, 27, 65, 66, 65, 66, 98, 99, 20, 25, 68, 69,
55, 64, 96, 97, 27, 28, 70, 71, 66, 67, 100, 101, 56, 68, 104, 105,
75, 96, 108, 109, 65, 70, 105, 106, 98, 100, 111, 112, 58, 69, 105,
106, 78, 97, 109, 110, 66, 71, 106, 107, 99, 101, 112, 113, 17, 21,
57, 59, 57, 59, 76, 79, 27, 28, 66, 67, 70, 71, 100, 101, 27, 28, 70,
71, 66, 67, 100, 101, 29, 30, 72, 73, 72, 73, 102, 103, 75, 82, 108,
109, 108, 109, 114, 115, 80, 83, 109, 110, 111, 112, 116, 117, 80,
83, 111, 112, 109, 110, 116, 117, 81, 84, 112, 113, 112, 113, 118,
119, 38, 44, 56, 68, 56, 68, 75, 82, 56, 68, 75, 96, 104, 105, 108,
109, 56, 68, 104, 105, 75, 96, 108, 109, 75, 82, 108, 109, 108, 109,
114, 115, 44, 120, 68, 121, 68, 121, 96, 122, 68, 121, 82, 122, 105,
123, 109, 124, 68, 121, 105, 123, 82, 122, 109, 124, 96, 122, 109,
124, 109, 124, 115, 125, 40, 45, 58, 69, 65, 70, 80, 83, 58, 69, 78,
97, 105, 106, 109, 110, 65, 70, 105, 106, 98, 100, 111, 112, 80, 83,
109, 110, 111, 112, 116, 117, 68, 121, 82, 122, 105, 123, 109, 124,
82, 122, 90, 126, 127, 128, 129, 130, 105, 123, 127, 128, 127, 128,
131, 132, 109, 124, 129, 130, 131, 132, 133, 134, 40, 45, 65, 70, 58,
69, 80, 83, 65, 70, 98, 100, 105, 106, 111, 112, 58, 69, 105, 106,
78, 97, 109, 110, 80, 83, 111, 112, 109, 110, 116, 117, 68, 121, 105,
123, 82, 122, 109, 124, 105, 123, 127, 128, 127, 128, 131, 132, 82,
122, 127, 128, 90, 126, 129, 130, 109, 124, 131, 132, 129, 130, 133,
134, 42, 46, 66, 71, 66, 71, 81, 84, 66, 71, 99, 101, 106, 107, 112,
113, 66, 71, 106, 107, 99, 101, 112, 113, 81, 84, 112, 113, 112, 113,
118, 119, 96, 122, 109, 124, 109, 124, 115, 125, 109, 124, 129, 130,
131, 132, 133, 134, 109, 124, 131, 132, 129, 130, 133, 134, 115, 125,
133, 134, 133, 134, 135, 136, 1, 5, 2, 6, 2, 6, 4, 7, 5, 12, 6, 13,
12, 15, 13, 16, 5, 12, 12, 15, 6, 13, 13, 16, 12, 19, 15, 20, 15, 20,
17, 21, 2, 12, 4, 13, 4, 13, 11, 14, 6, 15, 7, 16, 13, 17, 14, 18, 6,
15, 13, 17, 7, 16, 14, 18, 13, 20, 16, 21, 16, 21, 18, 22, 5, 12, 6,
13, 12, 15, 13, 16, 12, 35, 13, 36, 38, 40, 39, 41, 50, 51, 51, 52,
51, 52, 52, 53, 51, 54, 52, 55, 56, 58, 57, 59, 12, 38, 13, 39, 35,
40, 36, 41, 15, 40, 16, 41, 40, 48, 41, 49, 51, 56, 52, 57, 54, 58,
55, 59, 52, 58, 53, 59, 58, 60, 59, 61, 5, 12, 12, 15, 6, 13, 13, 16,
50, 51, 51, 52, 51, 52, 52, 53, 12, 35, 38, 40, 13, 36, 39, 41, 51,
54, 56, 58, 52, 55, 57, 59, 12, 38, 35, 40, 13, 39, 36, 41, 51, 56,
54, 58, 52, 57, 55, 59, 15, 40, 40, 48, 16, 41, 41, 49, 52, 58, 58,
60, 53, 59, 59, 61, 12, 19, 15, 20, 15, 20, 17, 21, 51, 54, 52, 55,
56, 58, 57, 59, 51, 54, 56, 58, 52, 55, 57, 59, 74, 77, 75, 78, 75,
78, 76, 79, 38, 44, 40, 45, 40, 45, 42, 46, 56, 68, 58, 69, 65, 70,
66, 71, 56, 68, 65, 70, 58, 69, 66, 71, 75, 82, 80, 83, 80, 83, 81,
84, 2, 12, 4, 13, 4, 13, 11, 14, 12, 38, 13, 39, 35, 40, 36, 41, 12,
38, 35, 40, 13, 39, 36, 41, 38, 44, 40, 45, 40, 45, 42, 46, 4, 35,
11, 36, 11, 36, 34, 37, 13, 40, 14, 41, 36, 42, 37, 43, 13, 40, 36,
42, 14, 41, 37, 43, 39, 45, 41, 46, 41, 46, 43, 47, 6, 15, 7, 16, 13,
17, 14, 18, 15, 40, 16, 41, 40, 48, 41, 49, 51, 56, 54, 58, 52, 57,
55, 59, 56, 68, 58, 69, 65, 70, 66, 71, 13, 40, 14, 41, 36, 42, 37,
43, 17, 48, 18, 49, 42, 62, 43, 63, 52, 65, 55, 66, 55, 66, 64, 67,
57, 70, 59, 71, 66, 72, 67, 73, 6, 15, 13, 17, 7, 16, 14, 18, 51, 56,
52, 57, 54, 58, 55, 59, 15, 40, 40, 48, 16, 41, 41, 49, 56, 68, 65,
70, 58, 69, 66, 71, 13, 40, 36, 42, 14, 41, 37, 43, 52, 65, 55, 66,
55, 66, 64, 67, 17, 48, 42, 62, 18, 49, 43, 63, 57, 70, 66, 72, 59,
71, 67, 73, 13, 20, 16, 21, 16, 21, 18, 22, 52, 58, 53, 59, 58, 60,
59, 61, 52, 58, 58, 60, 53, 59, 59, 61, 75, 82, 80, 83, 80, 83, 81,
84, 39, 45, 41, 46, 41, 46, 43, 47, 57, 70, 59, 71, 66, 72, 67, 73,
57, 70, 66, 72, 59, 71, 67, 73, 76, 86, 81, 87, 81, 87, 85, 88, 5,
50, 12, 51, 12, 51, 35, 54, 12, 51, 15, 52, 38, 56, 40, 58, 12, 51,
38, 56, 15, 52, 40, 58, 35, 54, 40, 58, 40, 58, 48, 60, 6, 51, 13,
52, 13, 52, 36, 55, 13, 52, 16, 53, 39, 57, 41, 59, 13, 52, 39, 57,
16, 53, 41, 59, 36, 55, 41, 59, 41, 59, 49, 61, 12, 51, 15, 52, 38,
56, 40, 58, 19, 54, 20, 55, 44, 68, 45, 69, 51, 74, 56, 75, 56, 75,
65, 80, 54, 77, 58, 78, 68, 82, 70, 83, 15, 56, 17, 57, 40, 65, 42,
66, 20, 58, 21, 59, 45, 70, 46, 71, 52, 75, 57, 76, 58, 80, 66, 81,
55, 78, 59, 79, 69, 83, 71, 84, 12, 51, 38, 56, 15, 52, 40, 58, 51,
74, 56, 75, 56, 75, 65, 80, 19, 54, 44, 68, 20, 55, 45, 69, 54, 77,
68, 82, 58, 78, 70, 83, 15, 56, 40, 65, 17, 57, 42, 66, 52, 75, 58,
80, 57, 76, 66, 81, 20, 58, 45, 70, 21, 59, 46, 71, 55, 78, 69, 83,
59, 79, 71, 84, 35, 54, 40, 58, 40, 58, 48, 60, 54, 77, 58, 78, 68,
82, 70, 83, 54, 77, 68, 82, 58, 78, 70, 83, 77, 89, 82, 90, 82, 90,
86, 91, 40, 68, 48, 70, 48, 70, 62, 72, 58, 82, 60, 83, 70, 86, 72,
87, 58, 82, 70, 86, 60, 83, 72, 87, 78, 90, 83, 91, 83, 91, 87, 92,
6, 51, 13, 52, 13, 52, 36, 55, 15, 56, 17, 57, 40, 65, 42, 66, 15,
56, 40, 65, 17, 57, 42, 66, 40, 68, 48, 70, 48, 70, 62, 72, 7, 54,
14, 55, 14, 55, 37, 64, 16, 58, 18, 59, 41, 66, 43, 67, 16, 58, 41,
66, 18, 59, 43, 67, 41, 69, 49, 71, 49, 71, 63, 73, 13, 52, 16, 53,
39, 57, 41, 59, 20, 58, 21, 59, 45, 70, 46, 71, 52, 75, 58, 80, 57,
76, 66, 81, 58, 82, 60, 83, 70, 86, 72, 87, 16, 58, 18, 59, 41, 66,
43, 67, 21, 60, 22, 61, 46, 72, 47, 73, 53, 80, 59, 81, 59, 81, 67,
85, 59, 83, 61, 84, 71, 87, 73, 88, 13, 52, 39, 57, 16, 53, 41, 59,
52, 75, 57, 76, 58, 80, 66, 81, 20, 58, 45, 70, 21, 59, 46, 71, 58,
82, 70, 86, 60, 83, 72, 87, 16, 58, 41, 66, 18, 59, 43, 67, 53, 80,
59, 81, 59, 81, 67, 85, 21, 60, 46, 72, 22, 61, 47, 73, 59, 83, 71,
87, 61, 84, 73, 88, 36, 55, 41, 59, 41, 59, 49, 61, 55, 78, 59, 79,
69, 83, 71, 84, 55, 78, 69, 83, 59, 79, 71, 84, 78, 90, 83, 91, 83,
91, 87, 92, 41, 69, 49, 71, 49, 71, 63, 73, 59, 83, 61, 84, 71, 87,
73, 88, 59, 83, 71, 87, 61, 84, 73, 88, 79, 91, 84, 92, 84, 92, 88,
93, 2, 6, 3, 7, 6, 8, 7, 9, 6, 13, 7, 14, 15, 17, 16, 18, 12, 15, 19,
20, 15, 17, 20, 21, 15, 20, 20, 25, 26, 27, 27, 28, 6, 15, 7, 16, 13,
17, 14, 18, 8, 17, 9, 18, 17, 23, 18, 24, 15, 26, 20, 27, 20, 27, 25,
28, 17, 27, 21, 28, 27, 29, 28, 30, 6, 13, 7, 14, 15, 17, 16, 18, 13,
36, 14, 37, 40, 42, 41, 43, 51, 52, 54, 55, 56, 57, 58, 59, 52, 55,
55, 64, 65, 66, 66, 67, 15, 40, 16, 41, 40, 48, 41, 49, 17, 42, 18,
43, 48, 62, 49, 63, 56, 65, 58, 66, 68, 70, 69, 71, 57, 66, 59, 67,
70, 72, 71, 73, 12, 15, 19, 20, 15, 17, 20, 21, 51, 52, 54, 55, 56,
57, 58, 59, 38, 40, 44, 45, 40, 42, 45, 46, 56, 58, 68, 69, 65, 66,
70, 71, 51, 56, 54, 58, 52, 57, 55, 59, 74, 75, 77, 78, 75, 76, 78,
79, 56, 65, 68, 70, 58, 66, 69, 71, 75, 80, 82, 83, 80, 81, 83, 84,
15, 20, 20, 25, 26, 27, 27, 28, 52, 55, 55, 64, 65, 66, 66, 67, 56,
58, 68, 69, 65, 66, 70, 71, 75, 78, 96, 97, 98, 99, 100, 101, 56, 68,
58, 69, 65, 70, 66, 71, 75, 96, 78, 97, 98, 100, 99, 101, 104, 105,
105, 106, 105, 106, 106, 107, 108, 109, 109, 110, 111, 112, 112, 113,
6, 15, 7, 16, 13, 17, 14, 18, 15, 40, 16, 41, 40, 48, 41, 49, 51, 56,
54, 58, 52, 57, 55, 59, 56, 68, 58, 69, 65, 70, 66, 71, 13, 40, 14,
41, 36, 42, 37, 43, 17, 48, 18, 49, 42, 62, 43, 63, 52, 65, 55, 66,
55, 66, 64, 67, 57, 70, 59, 71, 66, 72, 67, 73, 8, 17, 9, 18, 17, 23,
18, 24, 17, 42, 18, 43, 48, 62, 49, 63, 74, 75, 77, 78, 75, 76, 78,
79, 75, 96, 78, 97, 98, 100, 99, 101, 17, 48, 18, 49, 42, 62, 43, 63,
23, 62, 24, 63, 62, 94, 63, 95, 75, 98, 78, 99, 96, 100, 97, 101, 76,
100, 79, 101, 100, 102, 101, 103, 15, 26, 20, 27, 20, 27, 25, 28, 56,
65, 58, 66, 68, 70, 69, 71, 56, 65, 68, 70, 58, 66, 69, 71, 104, 105,
105, 106, 105, 106, 106, 107, 52, 65, 55, 66, 55, 66, 64, 67, 75, 98,
78, 99, 96, 100, 97, 101, 75, 98, 96, 100, 78, 99, 97, 101, 108, 111,
109, 112, 109, 112, 110, 113, 17, 27, 21, 28, 27, 29, 28, 30, 57, 66,
59, 67, 70, 72, 71, 73, 75, 80, 82, 83, 80, 81, 83, 84, 108, 109,
109, 110, 111, 112, 112, 113, 57, 70, 59, 71, 66, 72, 67, 73, 76,
100, 79, 101, 100, 102, 101, 103, 108, 111, 109, 112, 109, 112, 110,
113, 114, 116, 115, 117, 116, 118, 117, 119, 12, 51, 19, 54, 51, 74,
54, 77, 15, 52, 20, 55, 56, 75, 58, 78, 38, 56, 44, 68, 56, 75, 68,
82, 40, 58, 45, 69, 65, 80, 70, 83, 15, 56, 20, 58, 52, 75, 55, 78,
17, 57, 21, 59, 57, 76, 59, 79, 40, 65, 45, 70, 58, 80, 69, 83, 42,
66, 46, 71, 66, 81, 71, 84, 15, 52, 20, 55, 56, 75, 58, 78, 20, 55,
25, 64, 68, 96, 69, 97, 56, 75, 68, 96, 104, 108, 105, 109, 58, 78,
69, 97, 105, 109, 106, 110, 26, 65, 27, 66, 65, 98, 66, 99, 27, 66,
28, 67, 70, 100, 71, 101, 65, 98, 70, 100, 105, 111, 106, 112, 66,
99, 71, 101, 106, 112, 107, 113, 38, 56, 44, 68, 56, 75, 68, 82, 56,
75, 68, 96, 104, 108, 105, 109, 44, 68, 120, 121, 68, 96, 121, 122,
68, 82, 121, 122, 105, 109, 123, 124, 56, 104, 68, 105, 75, 108, 96,
109, 75, 108, 82, 109, 108, 114, 109, 115, 68, 105, 121, 123, 82,
109, 122, 124, 96, 109, 122, 124, 109, 115, 124, 125, 40, 58, 45, 69,
65, 80, 70, 83, 58, 78, 69, 97, 105, 109, 106, 110, 68, 82, 121, 122,
105, 109, 123, 124, 82, 90, 122, 126, 127, 129, 128, 130, 65, 105,
70, 106, 98, 111, 100, 112, 80, 109, 83, 110, 111, 116, 112, 117,
105, 127, 123, 128, 127, 131, 128, 132, 109, 129, 124, 130, 131, 133,
132, 134, 15, 56, 20, 58, 52, 75, 55, 78, 26, 65, 27, 66, 65, 98, 66,
99, 56, 104, 68, 105, 75, 108, 96, 109, 65, 105, 70, 106, 98, 111,
100, 112, 20, 68, 25, 69, 55, 96, 64, 97, 27, 70, 28, 71, 66, 100,
67, 101, 58, 105, 69, 106, 78, 109, 97, 110, 66, 106, 71, 107, 99,
112, 101, 113, 17, 57, 21, 59, 57, 76, 59, 79, 27, 66, 28, 67, 70,
100, 71, 101, 75, 108, 82, 109, 108, 114, 109, 115, 80, 109, 83, 110,
111, 116, 112, 117, 27, 70, 28, 71, 66, 100, 67, 101, 29, 72, 30, 73,
72, 102, 73, 103, 80, 111, 83, 112, 109, 116, 110, 117, 81, 112, 84,
113, 112, 118, 113, 119, 40, 65, 45, 70, 58, 80, 69, 83, 65, 98, 70,
100, 105, 111, 106, 112, 68, 105, 121, 123, 82, 109, 122, 124, 105,
127, 123, 128, 127, 131, 128, 132, 58, 105, 69, 106, 78, 109, 97,
110, 80, 111, 83, 112, 109, 116, 110, 117, 82, 127, 122, 128, 90,
129, 126, 130, 109, 131, 124, 132, 129, 133, 130, 134, 42, 66, 46,
71, 66, 81, 71, 84, 66, 99, 71, 101, 106, 112, 107, 113, 96, 109,
122, 124, 109, 115, 124, 125, 109, 129, 124, 130, 131, 133, 132, 134,
66, 106, 71, 107, 99, 112, 101, 113, 81, 112, 84, 113, 112, 118, 113,
119, 109, 131, 124, 132, 129, 133, 130, 134, 115, 133, 125, 134, 133,
135, 134, 136, 2, 6, 6, 8, 3, 7, 7, 9, 12, 15, 15, 17, 19, 20, 20,
21, 6, 13, 15, 17, 7, 14, 16, 18, 15, 20, 26, 27, 20, 25, 27, 28, 6,
15, 13, 17, 7, 16, 14, 18, 15, 26, 20, 27, 20, 27, 25, 28, 8, 17, 17,
23, 9, 18, 18, 24, 17, 27, 27, 29, 21, 28, 28, 30, 12, 15, 15, 17,
19, 20, 20, 21, 38, 40, 40, 42, 44, 45, 45, 46, 51, 52, 56, 57, 54,
55, 58, 59, 56, 58, 65, 66, 68, 69, 70, 71, 51, 56, 52, 57, 54, 58,
55, 59, 56, 65, 58, 66, 68, 70, 69, 71, 74, 75, 75, 76, 77, 78, 78,
79, 75, 80, 80, 81, 82, 83, 83, 84, 6, 13, 15, 17, 7, 14, 16, 18, 51,
52, 56, 57, 54, 55, 58, 59, 13, 36, 40, 42, 14, 37, 41, 43, 52, 55,
65, 66, 55, 64, 66, 67, 15, 40, 40, 48, 16, 41, 41, 49, 56, 65, 68,
70, 58, 66, 69, 71, 17, 42, 48, 62, 18, 43, 49, 63, 57, 66, 70, 72,
59, 67, 71, 73, 15, 20, 26, 27, 20, 25, 27, 28, 56, 58, 65, 66, 68,
69, 70, 71, 52, 55, 65, 66, 55, 64, 66, 67, 75, 78, 98, 99, 96, 97,
100, 101, 56, 68, 65, 70, 58, 69, 66, 71, 104, 105, 105, 106, 105,
106, 106, 107, 75, 96, 98, 100, 78, 97, 99, 101, 108, 109, 111, 112,
109, 110, 112, 113, 6, 15, 13, 17, 7, 16, 14, 18, 51, 56, 52, 57, 54,
58, 55, 59, 15, 40, 40, 48, 16, 41, 41, 49, 56, 68, 65, 70, 58, 69,
66, 71, 13, 40, 36, 42, 14, 41, 37, 43, 52, 65, 55, 66, 55, 66, 64,
67, 17, 48, 42, 62, 18, 49, 43, 63, 57, 70, 66, 72, 59, 71, 67, 73,
15, 26, 20, 27, 20, 27, 25, 28, 56, 65, 58, 66, 68, 70, 69, 71, 56,
65, 68, 70, 58, 66, 69, 71, 104, 105, 105, 106, 105, 106, 106, 107,
52, 65, 55, 66, 55, 66, 64, 67, 75, 98, 78, 99, 96, 100, 97, 101, 75,
98, 96, 100, 78, 99, 97, 101, 108, 111, 109, 112, 109, 112, 110, 113,
8, 17, 17, 23, 9, 18, 18, 24, 74, 75, 75, 76, 77, 78, 78, 79, 17, 42,
48, 62, 18, 43, 49, 63, 75, 96, 98, 100, 78, 97, 99, 101, 17, 48, 42,
62, 18, 49, 43, 63, 75, 98, 96, 100, 78, 99, 97, 101, 23, 62, 62, 94,
24, 63, 63, 95, 76, 100, 100, 102, 79, 101, 101, 103, 17, 27, 27, 29,
21, 28, 28, 30, 75, 80, 80, 81, 82, 83, 83, 84, 57, 66, 70, 72, 59,
67, 71, 73, 108, 109, 111, 112, 109, 110, 112, 113, 57, 70, 66, 72,
59, 71, 67, 73, 108, 111, 109, 112, 109, 112, 110, 113, 76, 100, 100,
102, 79, 101, 101, 103, 114, 116, 116, 118, 115, 117, 117, 119, 12,
51, 51, 74, 19, 54, 54, 77, 38, 56, 56, 75, 44, 68, 68, 82, 15, 52,
56, 75, 20, 55, 58, 78, 40, 58, 65, 80, 45, 69, 70, 83, 15, 56, 52,
75, 20, 58, 55, 78, 40, 65, 58, 80, 45, 70, 69, 83, 17, 57, 57, 76,
21, 59, 59, 79, 42, 66, 66, 81, 46, 71, 71, 84, 38, 56, 56, 75, 44,
68, 68, 82, 44, 68, 68, 96, 120, 121, 121, 122, 56, 75, 104, 108, 68,
96, 105, 109, 68, 82, 105, 109, 121, 122, 123, 124, 56, 104, 75, 108,
68, 105, 96, 109, 68, 105, 82, 109, 121, 123, 122, 124, 75, 108, 108,
114, 82, 109, 109, 115, 96, 109, 109, 115, 122, 124, 124, 125, 15,
52, 56, 75, 20, 55, 58, 78, 56, 75, 104, 108, 68, 96, 105, 109, 20,
55, 68, 96, 25, 64, 69, 97, 58, 78, 105, 109, 69, 97, 106, 110, 26,
65, 65, 98, 27, 66, 66, 99, 65, 98, 105, 111, 70, 100, 106, 112, 27,
66, 70, 100, 28, 67, 71, 101, 66, 99, 106, 112, 71, 101, 107, 113,
40, 58, 65, 80, 45, 69, 70, 83, 68, 82, 105, 109, 121, 122, 123, 124,
58, 78, 105, 109, 69, 97, 106, 110, 82, 90, 127, 129, 122, 126, 128,
130, 65, 105, 98, 111, 70, 106, 100, 112, 105, 127, 127, 131, 123,
128, 128, 132, 80, 109, 111, 116, 83, 110, 112, 117, 109, 129, 131,
133, 124, 130, 132, 134, 15, 56, 52, 75, 20, 58, 55, 78, 56, 104, 75,
108, 68, 105, 96, 109, 26, 65, 65, 98, 27, 66, 66, 99, 65, 105, 98,
111, 70, 106, 100, 112, 20, 68, 55, 96, 25, 69, 64, 97, 58, 105, 78,
109, 69, 106, 97, 110, 27, 70, 66, 100, 28, 71, 67, 101, 66, 106, 99,
112, 71, 107, 101, 113, 40, 65, 58, 80, 45, 70, 69, 83, 68, 105, 82,
109, 121, 123, 122, 124, 65, 98, 105, 111, 70, 100, 106, 112, 105,
127, 127, 131, 123, 128, 128, 132, 58, 105, 78, 109, 69, 106, 97,
110, 82, 127, 90, 129, 122, 128, 126, 130, 80, 111, 109, 116, 83,
112, 110, 117, 109, 131, 129, 133, 124, 132, 130, 134, 17, 57, 57,
76, 21, 59, 59, 79, 75, 108, 108, 114, 82, 109, 109, 115, 27, 66, 70,
100, 28, 67, 71, 101, 80, 109, 111, 116, 83, 110, 112, 117, 27, 70,
66, 100, 28, 71, 67, 101, 80, 111, 109, 116, 83, 112, 110, 117, 29,
72, 72, 102, 30, 73, 73, 103, 81, 112, 112, 118, 84, 113, 113, 119,
42, 66, 66, 81, 46, 71, 71, 84, 96, 109, 109, 115, 122, 124, 124,
125, 66, 99, 106, 112, 71, 101, 107, 113, 109, 129, 131, 133, 124,
130, 132, 134, 66, 106, 99, 112, 71, 107, 101, 113, 109, 131, 129,
133, 124, 132, 130, 134, 81, 112, 112, 118, 84, 113, 113, 119, 115,
133, 133, 135, 125, 134, 134, 136, 4, 7, 7, 9, 7, 9, 9, 10, 13, 16,
16, 18, 20, 21, 21, 22, 13, 16, 20, 21, 16, 18, 21, 22, 17, 21, 27,
28, 27, 28, 29, 30, 13, 20, 16, 21, 16, 21, 18, 22, 17, 27, 21, 28,
27, 29, 28, 30, 17, 27, 27, 29, 21, 28, 28, 30, 23, 29, 29, 31, 29,
31, 31, 32, 13, 16, 16, 18, 20, 21, 21, 22, 39, 41, 41, 43, 45, 46,
46, 47, 52, 53, 58, 59, 58, 59, 60, 61, 57, 59, 66, 67, 70, 71, 72,
73, 52, 58, 53, 59, 58, 60, 59, 61, 57, 66, 59, 67, 70, 72, 71, 73,
75, 80, 80, 81, 82, 83, 83, 84, 76, 81, 81, 85, 86, 87, 87, 88, 13,
16, 20, 21, 16, 18, 21, 22, 52, 53, 58, 59, 58, 59, 60, 61, 39, 41,
45, 46, 41, 43, 46, 47, 57, 59, 70, 71, 66, 67, 72, 73, 52, 58, 58,
60, 53, 59, 59, 61, 75, 80, 82, 83, 80, 81, 83, 84, 57, 66, 70, 72,
59, 67, 71, 73, 76, 81, 86, 87, 81, 85, 87, 88, 17, 21, 27, 28, 27,
28, 29, 30, 57, 59, 66, 67, 70, 71, 72, 73, 57, 59, 70, 71, 66, 67,
72, 73, 76, 79, 100, 101, 100, 101, 102, 103, 75, 82, 80, 83, 80, 83,
81, 84, 108, 109, 109, 110, 111, 112, 112, 113, 108, 109, 111, 112,
109, 110, 112, 113, 114, 115, 116, 117, 116, 117, 118, 119, 13, 20,
16, 21, 16, 21, 18, 22, 52, 58, 53, 59, 58, 60, 59, 61, 52, 58, 58,
60, 53, 59, 59, 61, 75, 82, 80, 83, 80, 83, 81, 84, 39, 45, 41, 46,
41, 46, 43, 47, 57, 70, 59, 71, 66, 72, 67, 73, 57, 70, 66, 72, 59,
71, 67, 73, 76, 86, 81, 87, 81, 87, 85, 88, 17, 27, 21, 28, 27, 29,
28, 30, 57, 66, 59, 67, 70, 72, 71, 73, 75, 80, 82, 83, 80, 81, 83,
84, 108, 109, 109, 110, 111, 112, 112, 113, 57, 70, 59, 71, 66, 72,
67, 73, 76, 100, 79, 101, 100, 102, 101, 103, 108, 111, 109, 112,
109, 112, 110, 113, 114, 116, 115, 117, 116, 118, 117, 119, 17, 27,
27, 29, 21, 28, 28, 30, 75, 80, 80, 81, 82, 83, 83, 84, 57, 66, 70,
72, 59, 67, 71, 73, 108, 109, 111, 112, 109, 110, 112, 113, 57, 70,
66, 72, 59, 71, 67, 73, 108, 111, 109, 112, 109, 112, 110, 113, 76,
100, 100, 102, 79, 101, 101, 103, 114, 116, 116, 118, 115, 117, 117,
119, 23, 29, 29, 31, 29, 31, 31, 32, 76, 81, 81, 85, 86, 87, 87, 88,
76, 81, 86, 87, 81, 85, 87, 88, 114, 115, 116, 117, 116, 117, 118,
119, 76, 86, 81, 87, 81, 87, 85, 88, 114, 116, 115, 117, 116, 118,
117, 119, 114, 116, 116, 118, 115, 117, 117, 119, 137, 138, 138, 139,
138, 139, 139, 140, 35, 54, 54, 77, 54, 77, 77, 89, 40, 58, 58, 78,
68, 82, 82, 90, 40, 58, 68, 82, 58, 78, 82, 90, 48, 60, 70, 83, 70,
83, 86, 91, 40, 68, 58, 82, 58, 82, 78, 90, 48, 70, 60, 83, 70, 86,
83, 91, 48, 70, 70, 86, 60, 83, 83, 91, 62, 72, 72, 87, 72, 87, 87,
92, 40, 58, 58, 78, 68, 82, 82, 90, 45, 69, 69, 97, 121, 122, 122,
126, 65, 80, 105, 109, 105, 109, 127, 129, 70, 83, 106, 110, 123,
124, 128, 130, 65, 105, 80, 109, 105, 127, 109, 129, 70, 106, 83,
110, 123, 128, 124, 130, 98, 111, 111, 116, 127, 131, 131, 133, 100,
112, 112, 117, 128, 132, 132, 134, 40, 58, 68, 82, 58, 78, 82, 90,
65, 80, 105, 109, 105, 109, 127, 129, 45, 69, 121, 122, 69, 97, 122,
126, 70, 83, 123, 124, 106, 110, 128, 130, 65, 105, 105, 127, 80,
109, 109, 129, 98, 111, 127, 131, 111, 116, 131, 133, 70, 106, 123,
128, 83, 110, 124, 130, 100, 112, 128, 132, 112, 117, 132, 134, 48,
60, 70, 83, 70, 83, 86, 91, 70, 83, 106, 110, 123, 124, 128, 130, 70,
83, 123, 124, 106, 110, 128, 130, 86, 91, 128, 130, 128, 130, 141,
142, 98, 127, 111, 131, 111, 131, 116, 133, 111, 131, 131, 143, 144,
145, 145, 146, 111, 131, 144, 145, 131, 143, 145, 146, 116, 133, 145,
146, 145, 146, 147, 148, 40, 68, 58, 82, 58, 82, 78, 90, 65, 105, 80,
109, 105, 127, 109, 129, 65, 105, 105, 127, 80, 109, 109, 129, 98,
127, 111, 131, 111, 131, 116, 133, 45, 121, 69, 122, 69, 122, 97,
126, 70, 123, 83, 124, 106, 128, 110, 130, 70, 123, 106, 128, 83,
124, 110, 130, 100, 128, 112, 132, 112, 132, 117, 134, 48, 70, 60,
83, 70, 86, 83, 91, 70, 106, 83, 110, 123, 128, 124, 130, 98, 111,
127, 131, 111, 116, 131, 133, 111, 131, 131, 143, 144, 145, 145, 146,
70, 123, 83, 124, 106, 128, 110, 130, 86, 128, 91, 130, 128, 141,
130, 142, 111, 144, 131, 145, 131, 145, 143, 146, 116, 145, 133, 146,
145, 147, 146, 148, 48, 70, 70, 86, 60, 83, 83, 91, 98, 111, 111,
116, 127, 131, 131, 133, 70, 106, 123, 128, 83, 110, 124, 130, 111,
131, 144, 145, 131, 143, 145, 146, 70, 123, 106, 128, 83, 124, 110,
130, 111, 144, 131, 145, 131, 145, 143, 146, 86, 128, 128, 141, 91,
130, 130, 142, 116, 145, 145, 147, 133, 146, 146, 148, 62, 72, 72,
87, 72, 87, 87, 92, 100, 112, 112, 117, 128, 132, 132, 134, 100, 112,
128, 132, 112, 117, 132, 134, 116, 133, 145, 146, 145, 146, 147, 148,
100, 128, 112, 132, 112, 132, 117, 134, 116, 145, 133, 146, 145, 147,
146, 148, 116, 145, 145, 147, 133, 146, 146, 148, 138, 149, 149, 150,
149, 150, 150, 151, 1, 5, 5, 12, 5, 12, 12, 19, 2, 6, 6, 13, 12, 15,
15, 20, 2, 6, 12, 15, 6, 13, 15, 20, 4, 7, 13, 16, 13, 16, 17, 21, 2,
12, 6, 15, 6, 15, 13, 20, 4, 13, 7, 16, 13, 17, 16, 21, 4, 13, 13,
17, 7, 16, 16, 21, 11, 14, 14, 18, 14, 18, 18, 22, 5, 12, 12, 35, 50,
51, 51, 54, 6, 13, 13, 36, 51, 52, 52, 55, 12, 15, 38, 40, 51, 52,
56, 58, 13, 16, 39, 41, 52, 53, 57, 59, 12, 38, 15, 40, 51, 56, 52,
58, 13, 39, 16, 41, 52, 57, 53, 59, 35, 40, 40, 48, 54, 58, 58, 60,
36, 41, 41, 49, 55, 59, 59, 61, 5, 12, 50, 51, 12, 35, 51, 54, 12,
15, 51, 52, 38, 40, 56, 58, 6, 13, 51, 52, 13, 36, 52, 55, 13, 16,
52, 53, 39, 41, 57, 59, 12, 38, 51, 56, 15, 40, 52, 58, 35, 40, 54,
58, 40, 48, 58, 60, 13, 39, 52, 57, 16, 41, 53, 59, 36, 41, 55, 59,
41, 49, 59, 61, 12, 19, 51, 54, 51, 54, 74, 77, 15, 20, 52, 55, 56,
58, 75, 78, 15, 20, 56, 58, 52, 55, 75, 78, 17, 21, 57, 59, 57, 59,
76, 79, 38, 44, 56, 68, 56, 68, 75, 82, 40, 45, 58, 69, 65, 70, 80,
83, 40, 45, 65, 70, 58, 69, 80, 83, 42, 46, 66, 71, 66, 71, 81, 84,
5, 50, 12, 51, 12, 51, 35, 54, 12, 51, 15, 52, 38, 56, 40, 58, 12,
51, 38, 56, 15, 52, 40, 58, 35, 54, 40, 58, 40, 58, 48, 60, 6, 51,
13, 52, 13, 52, 36, 55, 13, 52, 16, 53, 39, 57, 41, 59, 13, 52, 39,
57, 16, 53, 41, 59, 36, 55, 41, 59, 41, 59, 49, 61, 12, 51, 19, 54,
51, 74, 54, 77, 15, 52, 20, 55, 56, 75, 58, 78, 38, 56, 44, 68, 56,
75, 68, 82, 40, 58, 45, 69, 65, 80, 70, 83, 15, 56, 20, 58, 52, 75,
55, 78, 17, 57, 21, 59, 57, 76, 59, 79, 40, 65, 45, 70, 58, 80, 69,
83, 42, 66, 46, 71, 66, 81, 71, 84, 12, 51, 51, 74, 19, 54, 54, 77,
38, 56, 56, 75, 44, 68, 68, 82, 15, 52, 56, 75, 20, 55, 58, 78, 40,
58, 65, 80, 45, 69, 70, 83, 15, 56, 52, 75, 20, 58, 55, 78, 40, 65,
58, 80, 45, 70, 69, 83, 17, 57, 57, 76, 21, 59, 59, 79, 42, 66, 66,
81, 46, 71, 71, 84, 35, 54, 54, 77, 54, 77, 77, 89, 40, 58, 58, 78,
68, 82, 82, 90, 40, 58, 68, 82, 58, 78, 82, 90, 48, 60, 70, 83, 70,
83, 86, 91, 40, 68, 58, 82, 58, 82, 78, 90, 48, 70, 60, 83, 70, 86,
83, 91, 48, 70, 70, 86, 60, 83, 83, 91, 62, 72, 72, 87, 72, 87, 87,
92, 2, 12, 12, 38, 12, 38, 38, 44, 4, 13, 13, 39, 35, 40, 40, 45, 4,
13, 35, 40, 13, 39, 40, 45, 11, 14, 36, 41, 36, 41, 42, 46, 4, 35,
13, 40, 13, 40, 39, 45, 11, 36, 14, 41, 36, 42, 41, 46, 11, 36, 36,
42, 14, 41, 41, 46, 34, 37, 37, 43, 37, 43, 43, 47, 6, 15, 15, 40,
51, 56, 56, 68, 7, 16, 16, 41, 54, 58, 58, 69, 13, 17, 40, 48, 52,
57, 65, 70, 14, 18, 41, 49, 55, 59, 66, 71, 13, 40, 17, 48, 52, 65,
57, 70, 14, 41, 18, 49, 55, 66, 59, 71, 36, 42, 42, 62, 55, 66, 66,
72, 37, 43, 43, 63, 64, 67, 67, 73, 6, 15, 51, 56, 15, 40, 56, 68,
13, 17, 52, 57, 40, 48, 65, 70, 7, 16, 54, 58, 16, 41, 58, 69, 14,
18, 55, 59, 41, 49, 66, 71, 13, 40, 52, 65, 17, 48, 57, 70, 36, 42,
55, 66, 42, 62, 66, 72, 14, 41, 55, 66, 18, 49, 59, 71, 37, 43, 64,
67, 43, 63, 67, 73, 13, 20, 52, 58, 52, 58, 75, 82, 16, 21, 53, 59,
58, 60, 80, 83, 16, 21, 58, 60, 53, 59, 80, 83, 18, 22, 59, 61, 59,
61, 81, 84, 39, 45, 57, 70, 57, 70, 76, 86, 41, 46, 59, 71, 66, 72,
81, 87, 41, 46, 66, 72, 59, 71, 81, 87, 43, 47, 67, 73, 67, 73, 85,
88, 6, 51, 15, 56, 15, 56, 40, 68, 13, 52, 17, 57, 40, 65, 48, 70,
13, 52, 40, 65, 17, 57, 48, 70, 36, 55, 42, 66, 42, 66, 62, 72, 7,
54, 16, 58, 16, 58, 41, 69, 14, 55, 18, 59, 41, 66, 49, 71, 14, 55,
41, 66, 18, 59, 49, 71, 37, 64, 43, 67, 43, 67, 63, 73, 13, 52, 20,
58, 52, 75, 58, 82, 16, 53, 21, 59, 58, 80, 60, 83, 39, 57, 45, 70,
57, 76, 70, 86, 41, 59, 46, 71, 66, 81, 72, 87, 16, 58, 21, 60, 53,
80, 59, 83, 18, 59, 22, 61, 59, 81, 61, 84, 41, 66, 46, 72, 59, 81,
71, 87, 43, 67, 47, 73, 67, 85, 73, 88, 13, 52, 52, 75, 20, 58, 58,
82, 39, 57, 57, 76, 45, 70, 70, 86, 16, 53, 58, 80, 21, 59, 60, 83,
41, 59, 66, 81, 46, 71, 72, 87, 16, 58, 53, 80, 21, 60, 59, 83, 41,
66, 59, 81, 46, 72, 71, 87, 18, 59, 59, 81, 22, 61, 61, 84, 43, 67,
67, 85, 47, 73, 73, 88, 36, 55, 55, 78, 55, 78, 78, 90, 41, 59, 59,
79, 69, 83, 83, 91, 41, 59, 69, 83, 59, 79, 83, 91, 49, 61, 71, 84,
71, 84, 87, 92, 41, 69, 59, 83, 59, 83, 79, 91, 49, 71, 61, 84, 71,
87, 84, 92, 49, 71, 71, 87, 61, 84, 84, 92, 63, 73, 73, 88, 73, 88,
88, 93, 2, 6, 6, 13, 12, 15, 15, 20, 3, 7, 7, 14, 19, 20, 20, 25, 6,
8, 15, 17, 15, 17, 26, 27, 7, 9, 16, 18, 20, 21, 27, 28, 6, 15, 8,
17, 15, 26, 17, 27, 7, 16, 9, 18, 20, 27, 21, 28, 13, 17, 17, 23, 20,
27, 27, 29, 14, 18, 18, 24, 25, 28, 28, 30, 6, 13, 13, 36, 51, 52,
52, 55, 7, 14, 14, 37, 54, 55, 55, 64, 15, 17, 40, 42, 56, 57, 65,
66, 16, 18, 41, 43, 58, 59, 66, 67, 15, 40, 17, 42, 56, 65, 57, 66,
16, 41, 18, 43, 58, 66, 59, 67, 40, 48, 48, 62, 68, 70, 70, 72, 41,
49, 49, 63, 69, 71, 71, 73, 12, 15, 51, 52, 38, 40, 56, 58, 19, 20,
54, 55, 44, 45, 68, 69, 15, 17, 56, 57, 40, 42, 65, 66, 20, 21, 58,
59, 45, 46, 70, 71, 51, 56, 74, 75, 56, 65, 75, 80, 54, 58, 77, 78,
68, 70, 82, 83, 52, 57, 75, 76, 58, 66, 80, 81, 55, 59, 78, 79, 69,
71, 83, 84, 15, 20, 52, 55, 56, 58, 75, 78, 20, 25, 55, 64, 68, 69,
96, 97, 26, 27, 65, 66, 65, 66, 98, 99, 27, 28, 66, 67, 70, 71, 100,
101, 56, 68, 75, 96, 104, 105, 108, 109, 58, 69, 78, 97, 105, 106,
109, 110, 65, 70, 98, 100, 105, 106, 111, 112, 66, 71, 99, 101, 106,
107, 112, 113, 12, 51, 15, 52, 38, 56, 40, 58, 19, 54, 20, 55, 44,
68, 45, 69, 51, 74, 56, 75, 56, 75, 65, 80, 54, 77, 58, 78, 68, 82,
70, 83, 15, 56, 17, 57, 40, 65, 42, 66, 20, 58, 21, 59, 45, 70, 46,
71, 52, 75, 57, 76, 58, 80, 66, 81, 55, 78, 59, 79, 69, 83, 71, 84,
15, 52, 20, 55, 56, 75, 58, 78, 20, 55, 25, 64, 68, 96, 69, 97, 56,
75, 68, 96, 104, 108, 105, 109, 58, 78, 69, 97, 105, 109, 106, 110,
26, 65, 27, 66, 65, 98, 66, 99, 27, 66, 28, 67, 70, 100, 71, 101, 65,
98, 70, 100, 105, 111, 106, 112, 66, 99, 71, 101, 106, 112, 107, 113,
38, 56, 56, 75, 44, 68, 68, 82, 44, 68, 68, 96, 120, 121, 121, 122,
56, 75, 104, 108, 68, 96, 105, 109, 68, 82, 105, 109, 121, 122, 123,
124, 56, 104, 75, 108, 68, 105, 96, 109, 68, 105, 82, 109, 121, 123,
122, 124, 75, 108, 108, 114, 82, 109, 109, 115, 96, 109, 109, 115,
122, 124, 124, 125, 40, 58, 58, 78, 68, 82, 82, 90, 45, 69, 69, 97,
121, 122, 122, 126, 65, 80, 105, 109, 105, 109, 127, 129, 70, 83,
106, 110, 123, 124, 128, 130, 65, 105, 80, 109, 105, 127, 109, 129,
70, 106, 83, 110, 123, 128, 124, 130, 98, 111, 111, 116, 127, 131,
131, 133, 100, 112, 112, 117, 128, 132, 132, 134, 6, 15, 15, 40, 51,
56, 56, 68, 7, 16, 16, 41, 54, 58, 58, 69, 13, 17, 40, 48, 52, 57,
65, 70, 14, 18, 41, 49, 55, 59, 66, 71, 13, 40, 17, 48, 52, 65, 57,
70, 14, 41, 18, 49, 55, 66, 59, 71, 36, 42, 42, 62, 55, 66, 66, 72,
37, 43, 43, 63, 64, 67, 67, 73, 8, 17, 17, 42, 74, 75, 75, 96, 9, 18,
18, 43, 77, 78, 78, 97, 17, 23, 48, 62, 75, 76, 98, 100, 18, 24, 49,
63, 78, 79, 99, 101, 17, 48, 23, 62, 75, 98, 76, 100, 18, 49, 24, 63,
78, 99, 79, 101, 42, 62, 62, 94, 96, 100, 100, 102, 43, 63, 63, 95,
97, 101, 101, 103, 15, 26, 56, 65, 56, 65, 104, 105, 20, 27, 58, 66,
68, 70, 105, 106, 20, 27, 68, 70, 58, 66, 105, 106, 25, 28, 69, 71,
69, 71, 106, 107, 52, 65, 75, 98, 75, 98, 108, 111, 55, 66, 78, 99,
96, 100, 109, 112, 55, 66, 96, 100, 78, 99, 109, 112, 64, 67, 97,
101, 97, 101, 110, 113, 17, 27, 57, 66, 75, 80, 108, 109, 21, 28, 59,
67, 82, 83, 109, 110, 27, 29, 70, 72, 80, 81, 111, 112, 28, 30, 71,
73, 83, 84, 112, 113, 57, 70, 76, 100, 108, 111, 114, 116, 59, 71,
79, 101, 109, 112, 115, 117, 66, 72, 100, 102, 109, 112, 116, 118,
67, 73, 101, 103, 110, 113, 117, 119, 15, 56, 26, 65, 56, 104, 65,
105, 20, 58, 27, 66, 68, 105, 70, 106, 52, 75, 65, 98, 75, 108, 98,
111, 55, 78, 66, 99, 96, 109, 100, 112, 20, 68, 27, 70, 58, 105, 66,
106, 25, 69, 28, 71, 69, 106, 71, 107, 55, 96, 66, 100, 78, 109, 99,
112, 64, 97, 67, 101, 97, 110, 101, 113, 17, 57, 27, 66, 75, 108, 80,
109, 21, 59, 28, 67, 82, 109, 83, 110, 57, 76, 70, 100, 108, 114,
111, 116, 59, 79, 71, 101, 109, 115, 112, 117, 27, 70, 29, 72, 80,
111, 81, 112, 28, 71, 30, 73, 83, 112, 84, 113, 66, 100, 72, 102,
109, 116, 112, 118, 67, 101, 73, 103, 110, 117, 113, 119, 40, 65, 65,
98, 68, 105, 105, 127, 45, 70, 70, 100, 121, 123, 123, 128, 58, 80,
105, 111, 82, 109, 127, 131, 69, 83, 106, 112, 122, 124, 128, 132,
58, 105, 80, 111, 82, 127, 109, 131, 69, 106, 83, 112, 122, 128, 124,
132, 78, 109, 109, 116, 90, 129, 129, 133, 97, 110, 110, 117, 126,
130, 130, 134, 42, 66, 66, 99, 96, 109, 109, 129, 46, 71, 71, 101,
122, 124, 124, 130, 66, 81, 106, 112, 109, 115, 131, 133, 71, 84,
107, 113, 124, 125, 132, 134, 66, 106, 81, 112, 109, 131, 115, 133,
71, 107, 84, 113, 124, 132, 125, 134, 99, 112, 112, 118, 129, 133,
133, 135, 101, 113, 113, 119, 130, 134, 134, 136, 2, 6, 12, 15, 6,
13, 15, 20, 6, 8, 15, 17, 15, 17, 26, 27, 3, 7, 19, 20, 7, 14, 20,
25, 7, 9, 20, 21, 16, 18, 27, 28, 6, 15, 15, 26, 8, 17, 17, 27, 13,
17, 20, 27, 17, 23, 27, 29, 7, 16, 20, 27, 9, 18, 21, 28, 14, 18, 25,
28, 18, 24, 28, 30, 12, 15, 38, 40, 51, 52, 56, 58, 15, 17, 40, 42,
56, 57, 65, 66, 19, 20, 44, 45, 54, 55, 68, 69, 20, 21, 45, 46, 58,
59, 70, 71, 51, 56, 56, 65, 74, 75, 75, 80, 52, 57, 58, 66, 75, 76,
80, 81, 54, 58, 68, 70, 77, 78, 82, 83, 55, 59, 69, 71, 78, 79, 83,
84, 6, 13, 51, 52, 13, 36, 52, 55, 15, 17, 56, 57, 40, 42, 65, 66, 7,
14, 54, 55, 14, 37, 55, 64, 16, 18, 58, 59, 41, 43, 66, 67, 15, 40,
56, 65, 17, 42, 57, 66, 40, 48, 68, 70, 48, 62, 70, 72, 16, 41, 58,
66, 18, 43, 59, 67, 41, 49, 69, 71, 49, 63, 71, 73, 15, 20, 56, 58,
52, 55, 75, 78, 26, 27, 65, 66, 65, 66, 98, 99, 20, 25, 68, 69, 55,
64, 96, 97, 27, 28, 70, 71, 66, 67, 100, 101, 56, 68, 104, 105, 75,
96, 108, 109, 65, 70, 105, 106, 98, 100, 111, 112, 58, 69, 105, 106,
78, 97, 109, 110, 66, 71, 106, 107, 99, 101, 112, 113, 12, 51, 38,
56, 15, 52, 40, 58, 51, 74, 56, 75, 56, 75, 65, 80, 19, 54, 44, 68,
20, 55, 45, 69, 54, 77, 68, 82, 58, 78, 70, 83, 15, 56, 40, 65, 17,
57, 42, 66, 52, 75, 58, 80, 57, 76, 66, 81, 20, 58, 45, 70, 21, 59,
46, 71, 55, 78, 69, 83, 59, 79, 71, 84, 38, 56, 44, 68, 56, 75, 68,
82, 56, 75, 68, 96, 104, 108, 105, 109, 44, 68, 120, 121, 68, 96,
121, 122, 68, 82, 121, 122, 105, 109, 123, 124, 56, 104, 68, 105, 75,
108, 96, 109, 75, 108, 82, 109, 108, 114, 109, 115, 68, 105, 121,
123, 82, 109, 122, 124, 96, 109, 122, 124, 109, 115, 124, 125, 15,
52, 56, 75, 20, 55, 58, 78, 56, 75, 104, 108, 68, 96, 105, 109, 20,
55, 68, 96, 25, 64, 69, 97, 58, 78, 105, 109, 69, 97, 106, 110, 26,
65, 65, 98, 27, 66, 66, 99, 65, 98, 105, 111, 70, 100, 106, 112, 27,
66, 70, 100, 28, 67, 71, 101, 66, 99, 106, 112, 71, 101, 107, 113,
40, 58, 68, 82, 58, 78, 82, 90, 65, 80, 105, 109, 105, 109, 127, 129,
45, 69, 121, 122, 69, 97, 122, 126, 70, 83, 123, 124, 106, 110, 128,
130, 65, 105, 105, 127, 80, 109, 109, 129, 98, 111, 127, 131, 111,
116, 131, 133, 70, 106, 123, 128, 83, 110, 124, 130, 100, 112, 128,
132, 112, 117, 132, 134, 6, 15, 51, 56, 15, 40, 56, 68, 13, 17, 52,
57, 40, 48, 65, 70, 7, 16, 54, 58, 16, 41, 58, 69, 14, 18, 55, 59,
41, 49, 66, 71, 13, 40, 52, 65, 17, 48, 57, 70, 36, 42, 55, 66, 42,
62, 66, 72, 14, 41, 55, 66, 18, 49, 59, 71, 37, 43, 64, 67, 43, 63,
67, 73, 15, 26, 56, 65, 56, 65, 104, 105, 20, 27, 58, 66, 68, 70,
105, 106, 20, 27, 68, 70, 58, 66, 105, 106, 25, 28, 69, 71, 69, 71,
106, 107, 52, 65, 75, 98, 75, 98, 108, 111, 55, 66, 78, 99, 96, 100,
109, 112, 55, 66, 96, 100, 78, 99, 109, 112, 64, 67, 97, 101, 97,
101, 110, 113, 8, 17, 74, 75, 17, 42, 75, 96, 17, 23, 75, 76, 48, 62,
98, 100, 9, 18, 77, 78, 18, 43, 78, 97, 18, 24, 78, 79, 49, 63, 99,
101, 17, 48, 75, 98, 23, 62, 76, 100, 42, 62, 96, 100, 62, 94, 100,
102, 18, 49, 78, 99, 24, 63, 79, 101, 43, 63, 97, 101, 63, 95, 101,
103, 17, 27, 75, 80, 57, 66, 108, 109, 27, 29, 80, 81, 70, 72, 111,
112, 21, 28, 82, 83, 59, 67, 109, 110, 28, 30, 83, 84, 71, 73, 112,
113, 57, 70, 108, 111, 76, 100, 114, 116, 66, 72, 109, 112, 100, 102,
116, 118, 59, 71, 109, 112, 79, 101, 115, 117, 67, 73, 110, 113, 101,
103, 117, 119, 15, 56, 56, 104, 26, 65, 65, 105, 52, 75, 75, 108, 65,
98, 98, 111, 20, 58, 68, 105, 27, 66, 70, 106, 55, 78, 96, 109, 66,
99, 100, 112, 20, 68, 58, 105, 27, 70, 66, 106, 55, 96, 78, 109, 66,
100, 99, 112, 25, 69, 69, 106, 28, 71, 71, 107, 64, 97, 97, 110, 67,
101, 101, 113, 40, 65, 68, 105, 65, 98, 105, 127, 58, 80, 82, 109,
105, 111, 127, 131, 45, 70, 121, 123, 70, 100, 123, 128, 69, 83, 122,
124, 106, 112, 128, 132, 58, 105, 82, 127, 80, 111, 109, 131, 78,
109, 90, 129, 109, 116, 129, 133, 69, 106, 122, 128, 83, 112, 124,
132, 97, 110, 126, 130, 110, 117, 130, 134, 17, 57, 75, 108, 27, 66,
80, 109, 57, 76, 108, 114, 70, 100, 111, 116, 21, 59, 82, 109, 28,
67, 83, 110, 59, 79, 109, 115, 71, 101, 112, 117, 27, 70, 80, 111,
29, 72, 81, 112, 66, 100, 109, 116, 72, 102, 112, 118, 28, 71, 83,
112, 30, 73, 84, 113, 67, 101, 110, 117, 73, 103, 113, 119, 42, 66,
96, 109, 66, 99, 109, 129, 66, 81, 109, 115, 106, 112, 131, 133, 46,
71, 122, 124, 71, 101, 124, 130, 71, 84, 124, 125, 107, 113, 132,
134, 66, 106, 109, 131, 81, 112, 115, 133, 99, 112, 129, 133, 112,
118, 133, 135, 71, 107, 124, 132, 84, 113, 125, 134, 101, 113, 130,
134, 113, 119, 134, 136, 4, 7, 13, 16, 13, 16, 17, 21, 7, 9, 16, 18,
20, 21, 27, 28, 7, 9, 20, 21, 16, 18, 27, 28, 9, 10, 21, 22, 21, 22,
29, 30, 13, 20, 17, 27, 17, 27, 23, 29, 16, 21, 21, 28, 27, 29, 29,
31, 16, 21, 27, 29, 21, 28, 29, 31, 18, 22, 28, 30, 28, 30, 31, 32,
13, 16, 39, 41, 52, 53, 57, 59, 16, 18, 41, 43, 58, 59, 66, 67, 20,
21, 45, 46, 58, 59, 70, 71, 21, 22, 46, 47, 60, 61, 72, 73, 52, 58,
57, 66, 75, 80, 76, 81, 53, 59, 59, 67, 80, 81, 81, 85, 58, 60, 70,
72, 82, 83, 86, 87, 59, 61, 71, 73, 83, 84, 87, 88, 13, 16, 52, 53,
39, 41, 57, 59, 20, 21, 58, 59, 45, 46, 70, 71, 16, 18, 58, 59, 41,
43, 66, 67, 21, 22, 60, 61, 46, 47, 72, 73, 52, 58, 75, 80, 57, 66,
76, 81, 58, 60, 82, 83, 70, 72, 86, 87, 53, 59, 80, 81, 59, 67, 81,
85, 59, 61, 83, 84, 71, 73, 87, 88, 17, 21, 57, 59, 57, 59, 76, 79,
27, 28, 66, 67, 70, 71, 100, 101, 27, 28, 70, 71, 66, 67, 100, 101,
29, 30, 72, 73, 72, 73, 102, 103, 75, 82, 108, 109, 108, 109, 114,
115, 80, 83, 109, 110, 111, 112, 116, 117, 80, 83, 111, 112, 109,
110, 116, 117, 81, 84, 112, 113, 112, 113, 118, 119, 35, 54, 40, 58,
40, 58, 48, 60, 54, 77, 58, 78, 68, 82, 70, 83, 54, 77, 68, 82, 58,
78, 70, 83, 77, 89, 82, 90, 82, 90, 86, 91, 40, 68, 48, 70, 48, 70,
62, 72, 58, 82, 60, 83, 70, 86, 72, 87, 58, 82, 70, 86, 60, 83, 72,
87, 78, 90, 83, 91, 83, 91, 87, 92, 40, 58, 45, 69, 65, 80, 70, 83,
58, 78, 69, 97, 105, 109, 106, 110, 68, 82, 121, 122, 105, 109, 123,
124, 82, 90, 122, 126, 127, 129, 128, 130, 65, 105, 70, 106, 98, 111,
100, 112, 80, 109, 83, 110, 111, 116, 112, 117, 105, 127, 123, 128,
127, 131, 128, 132, 109, 129, 124, 130, 131, 133, 132, 134, 40, 58,
65, 80, 45, 69, 70, 83, 68, 82, 105, 109, 121, 122, 123, 124, 58, 78,
105, 109, 69, 97, 106, 110, 82, 90, 127, 129, 122, 126, 128, 130, 65,
105, 98, 111, 70, 106, 100, 112, 105, 127, 127, 131, 123, 128, 128,
132, 80, 109, 111, 116, 83, 110, 112, 117, 109, 129, 131, 133, 124,
130, 132, 134, 48, 60, 70, 83, 70, 83, 86, 91, 70, 83, 106, 110, 123,
124, 128, 130, 70, 83, 123, 124, 106, 110, 128, 130, 86, 91, 128,
130, 128, 130, 141, 142, 98, 127, 111, 131, 111, 131, 116, 133, 111,
131, 131, 143, 144, 145, 145, 146, 111, 131, 144, 145, 131, 143, 145,
146, 116, 133, 145, 146, 145, 146, 147, 148, 13, 20, 52, 58, 52, 58,
75, 82, 16, 21, 53, 59, 58, 60, 80, 83, 16, 21, 58, 60, 53, 59, 80,
83, 18, 22, 59, 61, 59, 61, 81, 84, 39, 45, 57, 70, 57, 70, 76, 86,
41, 46, 59, 71, 66, 72, 81, 87, 41, 46, 66, 72, 59, 71, 81, 87, 43,
47, 67, 73, 67, 73, 85, 88, 17, 27, 57, 66, 75, 80, 108, 109, 21, 28,
59, 67, 82, 83, 109, 110, 27, 29, 70, 72, 80, 81, 111, 112, 28, 30,
71, 73, 83, 84, 112, 113, 57, 70, 76, 100, 108, 111, 114, 116, 59,
71, 79, 101, 109, 112, 115, 117, 66, 72, 100, 102, 109, 112, 116,
118, 67, 73, 101, 103, 110, 113, 117, 119, 17, 27, 75, 80, 57, 66,
108, 109, 27, 29, 80, 81, 70, 72, 111, 112, 21, 28, 82, 83, 59, 67,
109, 110, 28, 30, 83, 84, 71, 73, 112, 113, 57, 70, 108, 111, 76,
100, 114, 116, 66, 72, 109, 112, 100, 102, 116, 118, 59, 71, 109,
112, 79, 101, 115, 117, 67, 73, 110, 113, 101, 103, 117, 119, 23, 29,
76, 81, 76, 81, 114, 115, 29, 31, 81, 85, 86, 87, 116, 117, 29, 31,
86, 87, 81, 85, 116, 117, 31, 32, 87, 88, 87, 88, 118, 119, 76, 86,
114, 116, 114, 116, 137, 138, 81, 87, 115, 117, 116, 118, 138, 139,
81, 87, 116, 118, 115, 117, 138, 139, 85, 88, 117, 119, 117, 119,
139, 140, 40, 68, 65, 105, 65, 105, 98, 127, 58, 82, 80, 109, 105,
127, 111, 131, 58, 82, 105, 127, 80, 109, 111, 131, 78, 90, 109, 129,
109, 129, 116, 133, 45, 121, 70, 123, 70, 123, 100, 128, 69, 122, 83,
124, 106, 128, 112, 132, 69, 122, 106, 128, 83, 124, 112, 132, 97,
126, 110, 130, 110, 130, 117, 134, 48, 70, 70, 106, 98, 111, 111,
131, 60, 83, 83, 110, 127, 131, 131, 143, 70, 86, 123, 128, 111, 116,
144, 145, 83, 91, 124, 130, 131, 133, 145, 146, 70, 123, 86, 128,
111, 144, 116, 145, 83, 124, 91, 130, 131, 145, 133, 146, 106, 128,
128, 141, 131, 145, 145, 147, 110, 130, 130, 142, 143, 146, 146, 148,
48, 70, 98, 111, 70, 106, 111, 131, 70, 86, 111, 116, 123, 128, 144,
145, 60, 83, 127, 131, 83, 110, 131, 143, 83, 91, 131, 133, 124, 130,
145, 146, 70, 123, 111, 144, 86, 128, 116, 145, 106, 128, 131, 145,
128, 141, 145, 147, 83, 124, 131, 145, 91, 130, 133, 146, 110, 130,
143, 146, 130, 142, 146, 148, 62, 72, 100, 112, 100, 112, 116, 133,
72, 87, 112, 117, 128, 132, 145, 146, 72, 87, 128, 132, 112, 117,
145, 146, 87, 92, 132, 134, 132, 134, 147, 148, 100, 128, 116, 145,
116, 145, 138, 149, 112, 132, 133, 146, 145, 147, 149, 150, 112, 132,
145, 147, 133, 146, 149, 150, 117, 134, 146, 148, 146, 148, 150, 151,
2, 12, 6, 15, 6, 15, 13, 20, 6, 15, 8, 17, 15, 26, 17, 27, 6, 15, 15,
26, 8, 17, 17, 27, 13, 20, 17, 27, 17, 27, 23, 29, 3, 19, 7, 20, 7,
20, 14, 25, 7, 20, 9, 21, 16, 27, 18, 28, 7, 20, 16, 27, 9, 21, 18,
28, 14, 25, 18, 28, 18, 28, 24, 30, 12, 38, 15, 40, 51, 56, 52, 58,
15, 40, 17, 42, 56, 65, 57, 66, 51, 56, 56, 65, 74, 75, 75, 80, 52,
58, 57, 66, 75, 80, 76, 81, 19, 44, 20, 45, 54, 68, 55, 69, 20, 45,
21, 46, 58, 70, 59, 71, 54, 68, 58, 70, 77, 82, 78, 83, 55, 69, 59,
71, 78, 83, 79, 84, 12, 38, 51, 56, 15, 40, 52, 58, 51, 56, 74, 75,
56, 65, 75, 80, 15, 40, 56, 65, 17, 42, 57, 66, 52, 58, 75, 80, 57,
66, 76, 81, 19, 44, 54, 68, 20, 45, 55, 69, 54, 68, 77, 82, 58, 70,
78, 83, 20, 45, 58, 70, 21, 46, 59, 71, 55, 69, 78, 83, 59, 71, 79,
84, 38, 44, 56, 68, 56, 68, 75, 82, 56, 68, 75, 96, 104, 105, 108,
109, 56, 68, 104, 105, 75, 96, 108, 109, 75, 82, 108, 109, 108, 109,
114, 115, 44, 120, 68, 121, 68, 121, 96, 122, 68, 121, 82, 122, 105,
123, 109, 124, 68, 121, 105, 123, 82, 122, 109, 124, 96, 122, 109,
124, 109, 124, 115, 125, 6, 51, 13, 52, 13, 52, 36, 55, 15, 56, 17,
57, 40, 65, 42, 66, 15, 56, 40, 65, 17, 57, 42, 66, 40, 68, 48, 70,
48, 70, 62, 72, 7, 54, 14, 55, 14, 55, 37, 64, 16, 58, 18, 59, 41,
66, 43, 67, 16, 58, 41, 66, 18, 59, 43, 67, 41, 69, 49, 71, 49, 71,
63, 73, 15, 56, 20, 58, 52, 75, 55, 78, 26, 65, 27, 66, 65, 98, 66,
99, 56, 104, 68, 105, 75, 108, 96, 109, 65, 105, 70, 106, 98, 111,
100, 112, 20, 68, 25, 69, 55, 96, 64, 97, 27, 70, 28, 71, 66, 100,
67, 101, 58, 105, 69, 106, 78, 109, 97, 110, 66, 106, 71, 107, 99,
112, 101, 113, 15, 56, 52, 75, 20, 58, 55, 78, 56, 104, 75, 108, 68,
105, 96, 109, 26, 65, 65, 98, 27, 66, 66, 99, 65, 105, 98, 111, 70,
106, 100, 112, 20, 68, 55, 96, 25, 69, 64, 97, 58, 105, 78, 109, 69,
106, 97, 110, 27, 70, 66, 100, 28, 71, 67, 101, 66, 106, 99, 112, 71,
107, 101, 113, 40, 68, 58, 82, 58, 82, 78, 90, 65, 105, 80, 109, 105,
127, 109, 129, 65, 105, 105, 127, 80, 109, 109, 129, 98, 127, 111,
131, 111, 131, 116, 133, 45, 121, 69, 122, 69, 122, 97, 126, 70, 123,
83, 124, 106, 128, 110, 130, 70, 123, 106, 128, 83, 124, 110, 130,
100, 128, 112, 132, 112, 132, 117, 134, 6, 51, 15, 56, 15, 56, 40,
68, 13, 52, 17, 57, 40, 65, 48, 70, 13, 52, 40, 65, 17, 57, 48, 70,
36, 55, 42, 66, 42, 66, 62, 72, 7, 54, 16, 58, 16, 58, 41, 69, 14,
55, 18, 59, 41, 66, 49, 71, 14, 55, 41, 66, 18, 59, 49, 71, 37, 64,
43, 67, 43, 67, 63, 73, 15, 56, 26, 65, 56, 104, 65, 105, 20, 58, 27,
66, 68, 105, 70, 106, 52, 75, 65, 98, 75, 108, 98, 111, 55, 78, 66,
99, 96, 109, 100, 112, 20, 68, 27, 70, 58, 105, 66, 106, 25, 69, 28,
71, 69, 106, 71, 107, 55, 96, 66, 100, 78, 109, 99, 112, 64, 97, 67,
101, 97, 110, 101, 113, 15, 56, 56, 104, 26, 65, 65, 105, 52, 75, 75,
108, 65, 98, 98, 111, 20, 58, 68, 105, 27, 66, 70, 106, 55, 78, 96,
109, 66, 99, 100, 112, 20, 68, 58, 105, 27, 70, 66, 106, 55, 96, 78,
109, 66, 100, 99, 112, 25, 69, 69, 106, 28, 71, 71, 107, 64, 97, 97,
110, 67, 101, 101, 113, 40, 68, 65, 105, 65, 105, 98, 127, 58, 82,
80, 109, 105, 127, 111, 131, 58, 82, 105, 127, 80, 109, 111, 131, 78,
90, 109, 129, 109, 129, 116, 133, 45, 121, 70, 123, 70, 123, 100,
128, 69, 122, 83, 124, 106, 128, 112, 132, 69, 122, 106, 128, 83,
124, 112, 132, 97, 126, 110, 130, 110, 130, 117, 134, 8, 74, 17, 75,
17, 75, 42, 96, 17, 75, 23, 76, 48, 98, 62, 100, 17, 75, 48, 98, 23,
76, 62, 100, 42, 96, 62, 100, 62, 100, 94, 102, 9, 77, 18, 78, 18,
78, 43, 97, 18, 78, 24, 79, 49, 99, 63, 101, 18, 78, 49, 99, 24, 79,
63, 101, 43, 97, 63, 101, 63, 101, 95, 103, 17, 75, 27, 80, 57, 108,
66, 109, 27, 80, 29, 81, 70, 111, 72, 112, 57, 108, 70, 111, 76, 114,
100, 116, 66, 109, 72, 112, 100, 116, 102, 118, 21, 82, 28, 83, 59,
109, 67, 110, 28, 83, 30, 84, 71, 112, 73, 113, 59, 109, 71, 112, 79,
115, 101, 117, 67, 110, 73, 113, 101, 117, 103, 119, 17, 75, 57, 108,
27, 80, 66, 109, 57, 108, 76, 114, 70, 111, 100, 116, 27, 80, 70,
111, 29, 81, 72, 112, 66, 109, 100, 116, 72, 112, 102, 118, 21, 82,
59, 109, 28, 83, 67, 110, 59, 109, 79, 115, 71, 112, 101, 117, 28,
83, 71, 112, 30, 84, 73, 113, 67, 110, 101, 117, 73, 113, 103, 119,
42, 96, 66, 109, 66, 109, 99, 129, 66, 109, 81, 115, 106, 131, 112,
133, 66, 109, 106, 131, 81, 115, 112, 133, 99, 129, 112, 133, 112,
133, 118, 135, 46, 122, 71, 124, 71, 124, 101, 130, 71, 124, 84, 125,
107, 132, 113, 134, 71, 124, 107, 132, 84, 125, 113, 134, 101, 130,
113, 134, 113, 134, 119, 136, 4, 13, 7, 16, 13, 17, 16, 21, 7, 16, 9,
18, 20, 27, 21, 28, 13, 17, 20, 27, 17, 23, 27, 29, 16, 21, 21, 28,
27, 29, 29, 31, 7, 20, 9, 21, 16, 27, 18, 28, 9, 21, 10, 22, 21, 29,
22, 30, 16, 27, 21, 29, 21, 29, 28, 31, 18, 28, 22, 30, 28, 31, 30,
32, 13, 39, 16, 41, 52, 57, 53, 59, 16, 41, 18, 43, 58, 66, 59, 67,
52, 57, 58, 66, 75, 76, 80, 81, 53, 59, 59, 67, 80, 81, 81, 85, 20,
45, 21, 46, 58, 70, 59, 71, 21, 46, 22, 47, 60, 72, 61, 73, 58, 70,
60, 72, 82, 86, 83, 87, 59, 71, 61, 73, 83, 87, 84, 88, 35, 40, 54,
58, 40, 48, 58, 60, 54, 58, 77, 78, 68, 70, 82, 83, 40, 48, 68, 70,
48, 62, 70, 72, 58, 60, 82, 83, 70, 72, 86, 87, 54, 68, 77, 82, 58,
70, 78, 83, 77, 82, 89, 90, 82, 86, 90, 91, 58, 70, 82, 86, 60, 72,
83, 87, 78, 83, 90, 91, 83, 87, 91, 92, 40, 45, 58, 69, 65, 70, 80,
83, 58, 69, 78, 97, 105, 106, 109, 110, 65, 70, 105, 106, 98, 100,
111, 112, 80, 83, 109, 110, 111, 112, 116, 117, 68, 121, 82, 122,
105, 123, 109, 124, 82, 122, 90, 126, 127, 128, 129, 130, 105, 123,
127, 128, 127, 128, 131, 132, 109, 124, 129, 130, 131, 132, 133, 134,
13, 52, 16, 53, 39, 57, 41, 59, 20, 58, 21, 59, 45, 70, 46, 71, 52,
75, 58, 80, 57, 76, 66, 81, 58, 82, 60, 83, 70, 86, 72, 87, 16, 58,
18, 59, 41, 66, 43, 67, 21, 60, 22, 61, 46, 72, 47, 73, 53, 80, 59,
81, 59, 81, 67, 85, 59, 83, 61, 84, 71, 87, 73, 88, 17, 57, 21, 59,
57, 76, 59, 79, 27, 66, 28, 67, 70, 100, 71, 101, 75, 108, 82, 109,
108, 114, 109, 115, 80, 109, 83, 110, 111, 116, 112, 117, 27, 70, 28,
71, 66, 100, 67, 101, 29, 72, 30, 73, 72, 102, 73, 103, 80, 111, 83,
112, 109, 116, 110, 117, 81, 112, 84, 113, 112, 118, 113, 119, 40,
65, 58, 80, 45, 70, 69, 83, 68, 105, 82, 109, 121, 123, 122, 124, 65,
98, 105, 111, 70, 100, 106, 112, 105, 127, 127, 131, 123, 128, 128,
132, 58, 105, 78, 109, 69, 106, 97, 110, 82, 127, 90, 129, 122, 128,
126, 130, 80, 111, 109, 116, 83, 112, 110, 117, 109, 131, 129, 133,
124, 132, 130, 134, 48, 70, 60, 83, 70, 86, 83, 91, 70, 106, 83, 110,
123, 128, 124, 130, 98, 111, 127, 131, 111, 116, 131, 133, 111, 131,
131, 143, 144, 145, 145, 146, 70, 123, 83, 124, 106, 128, 110, 130,
86, 128, 91, 130, 128, 141, 130, 142, 111, 144, 131, 145, 131, 145,
143, 146, 116, 145, 133, 146, 145, 147, 146, 148, 13, 52, 20, 58, 52,
75, 58, 82, 16, 53, 21, 59, 58, 80, 60, 83, 39, 57, 45, 70, 57, 76,
70, 86, 41, 59, 46, 71, 66, 81, 72, 87, 16, 58, 21, 60, 53, 80, 59,
83, 18, 59, 22, 61, 59, 81, 61, 84, 41, 66, 46, 72, 59, 81, 71, 87,
43, 67, 47, 73, 67, 85, 73, 88, 17, 57, 27, 66, 75, 108, 80, 109, 21,
59, 28, 67, 82, 109, 83, 110, 57, 76, 70, 100, 108, 114, 111, 116,
59, 79, 71, 101, 109, 115, 112, 117, 27, 70, 29, 72, 80, 111, 81,
112, 28, 71, 30, 73, 83, 112, 84, 113, 66, 100, 72, 102, 109, 116,
112, 118, 67, 101, 73, 103, 110, 117, 113, 119, 40, 65, 68, 105, 65,
98, 105, 127, 58, 80, 82, 109, 105, 111, 127, 131, 45, 70, 121, 123,
70, 100, 123, 128, 69, 83, 122, 124, 106, 112, 128, 132, 58, 105, 82,
127, 80, 111, 109, 131, 78, 109, 90, 129, 109, 116, 129, 133, 69,
106, 122, 128, 83, 112, 124, 132, 97, 110, 126, 130, 110, 117, 130,
134, 48, 70, 70, 106, 98, 111, 111, 131, 60, 83, 83, 110, 127, 131,
131, 143, 70, 86, 123, 128, 111, 116, 144, 145, 83, 91, 124, 130,
131, 133, 145, 146, 70, 123, 86, 128, 111, 144, 116, 145, 83, 124,
91, 130, 131, 145, 133, 146, 106, 128, 128, 141, 131, 145, 145, 147,
110, 130, 130, 142, 143, 146, 146, 148, 17, 75, 27, 80, 57, 108, 66,
109, 27, 80, 29, 81, 70, 111, 72, 112, 57, 108, 70, 111, 76, 114,
100, 116, 66, 109, 72, 112, 100, 116, 102, 118, 21, 82, 28, 83, 59,
109, 67, 110, 28, 83, 30, 84, 71, 112, 73, 113, 59, 109, 71, 112, 79,
115, 101, 117, 67, 110, 73, 113, 101, 117, 103, 119, 23, 76, 29, 81,
76, 114, 81, 115, 29, 81, 31, 85, 86, 116, 87, 117, 76, 114, 86, 116,
114, 137, 116, 138, 81, 115, 87, 117, 116, 138, 118, 139, 29, 86, 31,
87, 81, 116, 85, 117, 31, 87, 32, 88, 87, 118, 88, 119, 81, 116, 87,
118, 115, 138, 117, 139, 85, 117, 88, 119, 117, 139, 119, 140, 48,
98, 70, 111, 70, 111, 106, 131, 70, 111, 86, 116, 123, 144, 128, 145,
70, 111, 123, 144, 86, 116, 128, 145, 106, 131, 128, 145, 128, 145,
141, 147, 60, 127, 83, 131, 83, 131, 110, 143, 83, 131, 91, 133, 124,
145, 130, 146, 83, 131, 124, 145, 91, 133, 130, 146, 110, 143, 130,
146, 130, 146, 142, 148, 62, 100, 72, 112, 100, 116, 112, 133, 72,
112, 87, 117, 128, 145, 132, 146, 100, 116, 128, 145, 116, 138, 145,
149, 112, 133, 132, 146, 145, 149, 147, 150, 72, 128, 87, 132, 112,
145, 117, 146, 87, 132, 92, 134, 132, 147, 134, 148, 112, 145, 132,
147, 133, 149, 146, 150, 117, 146, 134, 148, 146, 150, 148, 151, 4,
13, 13, 17, 7, 16, 16, 21, 13, 17, 17, 23, 20, 27, 27, 29, 7, 16, 20,
27, 9, 18, 21, 28, 16, 21, 27, 29, 21, 28, 29, 31, 7, 20, 16, 27, 9,
21, 18, 28, 16, 27, 21, 29, 21, 29, 28, 31, 9, 21, 21, 29, 10, 22,
22, 30, 18, 28, 28, 31, 22, 30, 30, 32, 35, 40, 40, 48, 54, 58, 58,
60, 40, 48, 48, 62, 68, 70, 70, 72, 54, 58, 68, 70, 77, 78, 82, 83,
58, 60, 70, 72, 82, 83, 86, 87, 54, 68, 58, 70, 77, 82, 78, 83, 58,
70, 60, 72, 82, 86, 83, 87, 77, 82, 82, 86, 89, 90, 90, 91, 78, 83,
83, 87, 90, 91, 91, 92, 13, 39, 52, 57, 16, 41, 53, 59, 52, 57, 75,
76, 58, 66, 80, 81, 16, 41, 58, 66, 18, 43, 59, 67, 53, 59, 80, 81,
59, 67, 81, 85, 20, 45, 58, 70, 21, 46, 59, 71, 58, 70, 82, 86, 60,
72, 83, 87, 21, 46, 60, 72, 22, 47, 61, 73, 59, 71, 83, 87, 61, 73,
84, 88, 40, 45, 65, 70, 58, 69, 80, 83, 65, 70, 98, 100, 105, 106,
111, 112, 58, 69, 105, 106, 78, 97, 109, 110, 80, 83, 111, 112, 109,
110, 116, 117, 68, 121, 105, 123, 82, 122, 109, 124, 105, 123, 127,
128, 127, 128, 131, 132, 82, 122, 127, 128, 90, 126, 129, 130, 109,
124, 131, 132, 129, 130, 133, 134, 13, 52, 39, 57, 16, 53, 41, 59,
52, 75, 57, 76, 58, 80, 66, 81, 20, 58, 45, 70, 21, 59, 46, 71, 58,
82, 70, 86, 60, 83, 72, 87, 16, 58, 41, 66, 18, 59, 43, 67, 53, 80,
59, 81, 59, 81, 67, 85, 21, 60, 46, 72, 22, 61, 47, 73, 59, 83, 71,
87, 61, 84, 73, 88, 40, 65, 45, 70, 58, 80, 69, 83, 65, 98, 70, 100,
105, 111, 106, 112, 68, 105, 121, 123, 82, 109, 122, 124, 105, 127,
123, 128, 127, 131, 128, 132, 58, 105, 69, 106, 78, 109, 97, 110, 80,
111, 83, 112, 109, 116, 110, 117, 82, 127, 122, 128, 90, 129, 126,
130, 109, 131, 124, 132, 129, 133, 130, 134, 17, 57, 57, 76, 21, 59,
59, 79, 75, 108, 108, 114, 82, 109, 109, 115, 27, 66, 70, 100, 28,
67, 71, 101, 80, 109, 111, 116, 83, 110, 112, 117, 27, 70, 66, 100,
28, 71, 67, 101, 80, 111, 109, 116, 83, 112, 110, 117, 29, 72, 72,
102, 30, 73, 73, 103, 81, 112, 112, 118, 84, 113, 113, 119, 48, 70,
70, 86, 60, 83, 83, 91, 98, 111, 111, 116, 127, 131, 131, 133, 70,
106, 123, 128, 83, 110, 124, 130, 111, 131, 144, 145, 131, 143, 145,
146, 70, 123, 106, 128, 83, 124, 110, 130, 111, 144, 131, 145, 131,
145, 143, 146, 86, 128, 128, 141, 91, 130, 130, 142, 116, 145, 145,
147, 133, 146, 146, 148, 13, 52, 52, 75, 20, 58, 58, 82, 39, 57, 57,
76, 45, 70, 70, 86, 16, 53, 58, 80, 21, 59, 60, 83, 41, 59, 66, 81,
46, 71, 72, 87, 16, 58, 53, 80, 21, 60, 59, 83, 41, 66, 59, 81, 46,
72, 71, 87, 18, 59, 59, 81, 22, 61, 61, 84, 43, 67, 67, 85, 47, 73,
73, 88, 40, 65, 65, 98, 68, 105, 105, 127, 45, 70, 70, 100, 121, 123,
123, 128, 58, 80, 105, 111, 82, 109, 127, 131, 69, 83, 106, 112, 122,
124, 128, 132, 58, 105, 80, 111, 82, 127, 109, 131, 69, 106, 83, 112,
122, 128, 124, 132, 78, 109, 109, 116, 90, 129, 129, 133, 97, 110,
110, 117, 126, 130, 130, 134, 17, 57, 75, 108, 27, 66, 80, 109, 57,
76, 108, 114, 70, 100, 111, 116, 21, 59, 82, 109, 28, 67, 83, 110,
59, 79, 109, 115, 71, 101, 112, 117, 27, 70, 80, 111, 29, 72, 81,
112, 66, 100, 109, 116, 72, 102, 112, 118, 28, 71, 83, 112, 30, 73,
84, 113, 67, 101, 110, 117, 73, 103, 113, 119, 48, 70, 98, 111, 70,
106, 111, 131, 70, 86, 111, 116, 123, 128, 144, 145, 60, 83, 127,
131, 83, 110, 131, 143, 83, 91, 131, 133, 124, 130, 145, 146, 70,
123, 111, 144, 86, 128, 116, 145, 106, 128, 131, 145, 128, 141, 145,
147, 83, 124, 131, 145, 91, 130, 133, 146, 110, 130, 143, 146, 130,
142, 146, 148, 17, 75, 57, 108, 27, 80, 66, 109, 57, 108, 76, 114,
70, 111, 100, 116, 27, 80, 70, 111, 29, 81, 72, 112, 66, 109, 100,
116, 72, 112, 102, 118, 21, 82, 59, 109, 28, 83, 67, 110, 59, 109,
79, 115, 71, 112, 101, 117, 28, 83, 71, 112, 30, 84, 73, 113, 67,
110, 101, 117, 73, 113, 103, 119, 48, 98, 70, 111, 70, 111, 106, 131,
70, 111, 86, 116, 123, 144, 128, 145, 70, 111, 123, 144, 86, 116,
128, 145, 106, 131, 128, 145, 128, 145, 141, 147, 60, 127, 83, 131,
83, 131, 110, 143, 83, 131, 91, 133, 124, 145, 130, 146, 83, 131,
124, 145, 91, 133, 130, 146, 110, 143, 130, 146, 130, 146, 142, 148,
23, 76, 76, 114, 29, 81, 81, 115, 76, 114, 114, 137, 86, 116, 116,
138, 29, 81, 86, 116, 31, 85, 87, 117, 81, 115, 116, 138, 87, 117,
118, 139, 29, 86, 81, 116, 31, 87, 85, 117, 81, 116, 115, 138, 87,
118, 117, 139, 31, 87, 87, 118, 32, 88, 88, 119, 85, 117, 117, 139,
88, 119, 119, 140, 62, 100, 100, 116, 72, 112, 112, 133, 100, 116,
116, 138, 128, 145, 145, 149, 72, 112, 128, 145, 87, 117, 132, 146,
112, 133, 145, 149, 132, 146, 147, 150, 72, 128, 112, 145, 87, 132,
117, 146, 112, 145, 133, 149, 132, 147, 146, 150, 87, 132, 132, 147,
92, 134, 134, 148, 117, 146, 146, 150, 134, 148, 148, 151, 11, 14,
14, 18, 14, 18, 18, 22, 14, 18, 18, 24, 25, 28, 28, 30, 14, 18, 25,
28, 18, 24, 28, 30, 18, 22, 28, 30, 28, 30, 31, 32, 14, 25, 18, 28,
18, 28, 24, 30, 18, 28, 22, 30, 28, 31, 30, 32, 18, 28, 28, 31, 22,
30, 30, 32, 24, 30, 30, 32, 30, 32, 32, 33, 36, 41, 41, 49, 55, 59,
59, 61, 41, 49, 49, 63, 69, 71, 71, 73, 55, 59, 69, 71, 78, 79, 83,
84, 59, 61, 71, 73, 83, 84, 87, 88, 55, 69, 59, 71, 78, 83, 79, 84,
59, 71, 61, 73, 83, 87, 84, 88, 78, 83, 83, 87, 90, 91, 91, 92, 79,
84, 84, 88, 91, 92, 92, 93, 36, 41, 55, 59, 41, 49, 59, 61, 55, 59,
78, 79, 69, 71, 83, 84, 41, 49, 69, 71, 49, 63, 71, 73, 59, 61, 83,
84, 71, 73, 87, 88, 55, 69, 78, 83, 59, 71, 79, 84, 78, 83, 90, 91,
83, 87, 91, 92, 59, 71, 83, 87, 61, 73, 84, 88, 79, 84, 91, 92, 84,
88, 92, 93, 42, 46, 66, 71, 66, 71, 81, 84, 66, 71, 99, 101, 106,
107, 112, 113, 66, 71, 106, 107, 99, 101, 112, 113, 81, 84, 112, 113,
112, 113, 118, 119, 96, 122, 109, 124, 109, 124, 115, 125, 109, 124,
129, 130, 131, 132, 133, 134, 109, 124, 131, 132, 129, 130, 133, 134,
115, 125, 133, 134, 133, 134, 135, 136, 36, 55, 41, 59, 41, 59, 49,
61, 55, 78, 59, 79, 69, 83, 71, 84, 55, 78, 69, 83, 59, 79, 71, 84,
78, 90, 83, 91, 83, 91, 87, 92, 41, 69, 49, 71, 49, 71, 63, 73, 59,
83, 61, 84, 71, 87, 73, 88, 59, 83, 71, 87, 61, 84, 73, 88, 79, 91,
84, 92, 84, 92, 88, 93, 42, 66, 46, 71, 66, 81, 71, 84, 66, 99, 71,
101, 106, 112, 107, 113, 96, 109, 122, 124, 109, 115, 124, 125, 109,
129, 124, 130, 131, 133, 132, 134, 66, 106, 71, 107, 99, 112, 101,
113, 81, 112, 84, 113, 112, 118, 113, 119, 109, 131, 124, 132, 129,
133, 130, 134, 115, 133, 125, 134, 133, 135, 134, 136, 42, 66, 66,
81, 46, 71, 71, 84, 96, 109, 109, 115, 122, 124, 124, 125, 66, 99,
106, 112, 71, 101, 107, 113, 109, 129, 131, 133, 124, 130, 132, 134,
66, 106, 99, 112, 71, 107, 101, 113, 109, 131, 129, 133, 124, 132,
130, 134, 81, 112, 112, 118, 84, 113, 113, 119, 115, 133, 133, 135,
125, 134, 134, 136, 62, 72, 72, 87, 72, 87, 87, 92, 100, 112, 112,
117, 128, 132, 132, 134, 100, 112, 128, 132, 112, 117, 132, 134, 116,
133, 145, 146, 145, 146, 147, 148, 100, 128, 112, 132, 112, 132, 117,
134, 116, 145, 133, 146, 145, 147, 146, 148, 116, 145, 145, 147, 133,
146, 146, 148, 138, 149, 149, 150, 149, 150, 150, 151, 36, 55, 55,
78, 55, 78, 78, 90, 41, 59, 59, 79, 69, 83, 83, 91, 41, 59, 69, 83,
59, 79, 83, 91, 49, 61, 71, 84, 71, 84, 87, 92, 41, 69, 59, 83, 59,
83, 79, 91, 49, 71, 61, 84, 71, 87, 84, 92, 49, 71, 71, 87, 61, 84,
84, 92, 63, 73, 73, 88, 73, 88, 88, 93, 42, 66, 66, 99, 96, 109, 109,
129, 46, 71, 71, 101, 122, 124, 124, 130, 66, 81, 106, 112, 109, 115,
131, 133, 71, 84, 107, 113, 124, 125, 132, 134, 66, 106, 81, 112,
109, 131, 115, 133, 71, 107, 84, 113, 124, 132, 125, 134, 99, 112,
112, 118, 129, 133, 133, 135, 101, 113, 113, 119, 130, 134, 134, 136,
42, 66, 96, 109, 66, 99, 109, 129, 66, 81, 109, 115, 106, 112, 131,
133, 46, 71, 122, 124, 71, 101, 124, 130, 71, 84, 124, 125, 107, 113,
132, 134, 66, 106, 109, 131, 81, 112, 115, 133, 99, 112, 129, 133,
112, 118, 133, 135, 71, 107, 124, 132, 84, 113, 125, 134, 101, 113,
130, 134, 113, 119, 134, 136, 62, 72, 100, 112, 100, 112, 116, 133,
72, 87, 112, 117, 128, 132, 145, 146, 72, 87, 128, 132, 112, 117,
145, 146, 87, 92, 132, 134, 132, 134, 147, 148, 100, 128, 116, 145,
116, 145, 138, 149, 112, 132, 133, 146, 145, 147, 149, 150, 112, 132,
145, 147, 133, 146, 149, 150, 117, 134, 146, 148, 146, 148, 150, 151,
42, 96, 66, 109, 66, 109, 99, 129, 66, 109, 81, 115, 106, 131, 112,
133, 66, 109, 106, 131, 81, 115, 112, 133, 99, 129, 112, 133, 112,
133, 118, 135, 46, 122, 71, 124, 71, 124, 101, 130, 71, 124, 84, 125,
107, 132, 113, 134, 71, 124, 107, 132, 84, 125, 113, 134, 101, 130,
113, 134, 113, 134, 119, 136, 62, 100, 72, 112, 100, 116, 112, 133,
72, 112, 87, 117, 128, 145, 132, 146, 100, 116, 128, 145, 116, 138,
145, 149, 112, 133, 132, 146, 145, 149, 147, 150, 72, 128, 87, 132,
112, 145, 117, 146, 87, 132, 92, 134, 132, 147, 134, 148, 112, 145,
132, 147, 133, 149, 146, 150, 117, 146, 134, 148, 146, 150, 148, 151,
62, 100, 100, 116, 72, 112, 112, 133, 100, 116, 116, 138, 128, 145,
145, 149, 72, 112, 128, 145, 87, 117, 132, 146, 112, 133, 145, 149,
132, 146, 147, 150, 72, 128, 112, 145, 87, 132, 117, 146, 112, 145,
133, 149, 132, 147, 146, 150, 87, 132, 132, 147, 92, 134, 134, 148,
117, 146, 146, 150, 134, 148, 148, 151, 94, 102, 102, 118, 102, 118,
118, 135, 102, 118, 118, 139, 141, 147, 147, 150, 102, 118, 141, 147,
118, 139, 147, 150, 118, 135, 147, 150, 147, 150, 152, 153, 102, 141,
118, 147, 118, 147, 139, 150, 118, 147, 135, 150, 147, 152, 150, 153,
118, 147, 147, 152, 135, 150, 150, 153, 139, 150, 150, 153, 150, 153,
153, 154, 1, 5, 5, 12, 5, 12, 12, 19, 5, 12, 12, 35, 50, 51, 51, 54,
5, 12, 50, 51, 12, 35, 51, 54, 12, 19, 51, 54, 51, 54, 74, 77, 5, 50,
12, 51, 12, 51, 35, 54, 12, 51, 19, 54, 51, 74, 54, 77, 12, 51, 51,
74, 19, 54, 54, 77, 35, 54, 54, 77, 54, 77, 77, 89, 2, 6, 6, 13, 12,
15, 15, 20, 6, 13, 13, 36, 51, 52, 52, 55, 12, 15, 51, 52, 38, 40,
56, 58, 15, 20, 52, 55, 56, 58, 75, 78, 12, 51, 15, 52, 38, 56, 40,
58, 15, 52, 20, 55, 56, 75, 58, 78, 38, 56, 56, 75, 44, 68, 68, 82,
40, 58, 58, 78, 68, 82, 82, 90, 2, 6, 12, 15, 6, 13, 15, 20, 12, 15,
38, 40, 51, 52, 56, 58, 6, 13, 51, 52, 13, 36, 52, 55, 15, 20, 56,
58, 52, 55, 75, 78, 12, 51, 38, 56, 15, 52, 40, 58, 38, 56, 44, 68,
56, 75, 68, 82, 15, 52, 56, 75, 20, 55, 58, 78, 40, 58, 68, 82, 58,
78, 82, 90, 4, 7, 13, 16, 13, 16, 17, 21, 13, 16, 39, 41, 52, 53, 57,
59, 13, 16, 52, 53, 39, 41, 57, 59, 17, 21, 57, 59, 57, 59, 76, 79,
35, 54, 40, 58, 40, 58, 48, 60, 40, 58, 45, 69, 65, 80, 70, 83, 40,
58, 65, 80, 45, 69, 70, 83, 48, 60, 70, 83, 70, 83, 86, 91, 2, 12, 6,
15, 6, 15, 13, 20, 12, 38, 15, 40, 51, 56, 52, 58, 12, 38, 51, 56,
15, 40, 52, 58, 38, 44, 56, 68, 56, 68, 75, 82, 6, 51, 13, 52, 13, 52,
36, 55, 15, 56, 20, 58, 52, 75, 55, 78, 15, 56, 52, 75, 20, 58, 55,
78, 40, 68, 58, 82, 58, 82, 78, 90, 4, 13, 7, 16, 13, 17, 16, 21, 13,
39, 16, 41, 52, 57, 53, 59, 35, 40, 54, 58, 40, 48, 58, 60, 40, 45,
58, 69, 65, 70, 80, 83, 13, 52, 16, 53, 39, 57, 41, 59, 17, 57, 21,
59, 57, 76, 59, 79, 40, 65, 58, 80, 45, 70, 69, 83, 48, 70, 60, 83,
70, 86, 83, 91, 4, 13, 13, 17, 7, 16, 16, 21, 35, 40, 40, 48, 54, 58,
58, 60, 13, 39, 52, 57, 16, 41, 53, 59, 40, 45, 65, 70, 58, 69, 80,
83, 13, 52, 39, 57, 16, 53, 41, 59, 40, 65, 45, 70, 58, 80, 69, 83,
17, 57, 57, 76, 21, 59, 59, 79, 48, 70, 70, 86, 60, 83, 83, 91, 11,
14, 14, 18, 14, 18, 18, 22, 36, 41, 41, 49, 55, 59, 59, 61, 36, 41,
55, 59, 41, 49, 59, 61, 42, 46, 66, 71, 66, 71, 81, 84, 36, 55, 41,
59, 41, 59, 49, 61, 42, 66, 46, 71, 66, 81, 71, 84, 42, 66, 66, 81,
46, 71, 71, 84, 62, 72, 72, 87, 72, 87, 87, 92, 2, 12, 12, 38, 12,
38, 38, 44, 6, 15, 15, 40, 51, 56, 56, 68, 6, 15, 51, 56, 15, 40, 56,
68, 13, 20, 52, 58, 52, 58, 75, 82, 6, 51, 15, 56, 15, 56, 40, 68,
13, 52, 20, 58, 52, 75, 58, 82, 13, 52, 52, 75, 20, 58, 58, 82, 36,
55, 55, 78, 55, 78, 78, 90, 4, 13, 13, 39, 35, 40, 40, 45, 7, 16, 16,
41, 54, 58, 58, 69, 13, 17, 52, 57, 40, 48, 65, 70, 16, 21, 53, 59,
58, 60, 80, 83, 13, 52, 17, 57, 40, 65, 48, 70, 16, 53, 21, 59, 58,
80, 60, 83, 39, 57, 57, 76, 45, 70, 70, 86, 41, 59, 59, 79, 69, 83,
83, 91, 4, 13, 35, 40, 13, 39, 40, 45, 13, 17, 40, 48, 52, 57, 65,
70, 7, 16, 54, 58, 16, 41, 58, 69, 16, 21, 58, 60, 53, 59, 80, 83,
13, 52, 40, 65, 17, 57, 48, 70, 39, 57, 45, 70, 57, 76, 70, 86, 16,
53, 58, 80, 21, 59, 60, 83, 41, 59, 69, 83, 59, 79, 83, 91, 11, 14,
36, 41, 36, 41, 42, 46, 14, 18, 41, 49, 55, 59, 66, 71, 14, 18, 55,
59, 41, 49, 66, 71, 18, 22, 59, 61, 59, 61, 81, 84, 36, 55, 42, 66,
42, 66, 62, 72, 41, 59, 46, 71, 66, 81, 72, 87, 41, 59, 66, 81, 46,
71, 72, 87, 49, 61, 71, 84, 71, 84, 87, 92, 4, 35, 13, 40, 13, 40,
39, 45, 13, 40, 17, 48, 52, 65, 57, 70, 13, 40, 52, 65, 17, 48, 57,
70, 39, 45, 57, 70, 57, 70, 76, 86, 7, 54, 16, 58, 16, 58, 41, 69,
16, 58, 21, 60, 53, 80, 59, 83, 16, 58, 53, 80, 21, 60, 59, 83, 41,
69, 59, 83, 59, 83, 79, 91, 11, 36, 14, 41, 36, 42, 41, 46, 14, 41,
18, 49, 55, 66, 59, 71, 36, 42, 55, 66, 42, 62, 66, 72, 41, 46, 59,
71, 66, 72, 81, 87, 14, 55, 18, 59, 41, 66, 49, 71, 18, 59, 22, 61,
59, 81, 61, 84, 41, 66, 59, 81, 46, 72, 71, 87, 49, 71, 61, 84, 71,
87, 84, 92, 11, 36, 36, 42, 14, 41, 41, 46, 36, 42, 42, 62, 55, 66,
66, 72, 14, 41, 55, 66, 18, 49, 59, 71, 41, 46, 66, 72, 59, 71, 81,
87, 14, 55, 41, 66, 18, 59, 49, 71, 41, 66, 46, 72, 59, 81, 71, 87,
18, 59, 59, 81, 22, 61, 61, 84, 49, 71, 71, 87, 61, 84, 84, 92, 34,
37, 37, 43, 37, 43, 43, 47, 37, 43, 43, 63, 64, 67, 67, 73, 37, 43,
64, 67, 43, 63, 67, 73, 43, 47, 67, 73, 67, 73, 85, 88, 37, 64, 43,
67, 43, 67, 63, 73, 43, 67, 47, 73, 67, 85, 73, 88, 43, 67, 67, 85,
47, 73, 73, 88, 63, 73, 73, 88, 73, 88, 88, 93, 2, 6, 6, 13, 12, 15,
15, 20, 6, 13, 13, 36, 51, 52, 52, 55, 12, 15, 51, 52, 38, 40, 56,
58, 15, 20, 52, 55, 56, 58, 75, 78, 12, 51, 15, 52, 38, 56, 40, 58,
15, 52, 20, 55, 56, 75, 58, 78, 38, 56, 56, 75, 44, 68, 68, 82, 40,
58, 58, 78, 68, 82, 82, 90, 3, 7, 7, 14, 19, 20, 20, 25, 7, 14, 14,
37, 54, 55, 55, 64, 19, 20, 54, 55, 44, 45, 68, 69, 20, 25, 55, 64,
68, 69, 96, 97, 19, 54, 20, 55, 44, 68, 45, 69, 20, 55, 25, 64, 68,
96, 69, 97, 44, 68, 68, 96, 120, 121, 121, 122, 45, 69, 69, 97, 121,
122, 122, 126, 6, 8, 15, 17, 15, 17, 26, 27, 15, 17, 40, 42, 56, 57,
65, 66, 15, 17, 56, 57, 40, 42, 65, 66, 26, 27, 65, 66, 65, 66, 98,
99, 51, 74, 56, 75, 56, 75, 65, 80, 56, 75, 68, 96, 104, 108, 105,
109, 56, 75, 104, 108, 68, 96, 105, 109, 65, 80, 105, 109, 105, 109,
127, 129, 7, 9, 16, 18, 20, 21, 27, 28, 16, 18, 41, 43, 58, 59, 66,
67, 20, 21, 58, 59, 45, 46, 70, 71, 27, 28, 66, 67, 70, 71, 100, 101,
54, 77, 58, 78, 68, 82, 70, 83, 58, 78, 69, 97, 105, 109, 106, 110,
68, 82, 105, 109, 121, 122, 123, 124, 70, 83, 106, 110, 123, 124,
128, 130, 6, 15, 8, 17, 15, 26, 17, 27, 15, 40, 17, 42, 56, 65, 57,
66, 51, 56, 74, 75, 56, 65, 75, 80, 56, 68, 75, 96, 104, 105, 108,
109, 15, 56, 17, 57, 40, 65, 42, 66, 26, 65, 27, 66, 65, 98, 66, 99,
56, 104, 75, 108, 68, 105, 96, 109, 65, 105, 80, 109, 105, 127, 109,
129, 7, 16, 9, 18, 20, 27, 21, 28, 16, 41, 18, 43, 58, 66, 59, 67,
54, 58, 77, 78, 68, 70, 82, 83, 58, 69, 78, 97, 105, 106, 109, 110,
20, 58, 21, 59, 45, 70, 46, 71, 27, 66, 28, 67, 70, 100, 71, 101, 68,
105, 82, 109, 121, 123, 122, 124, 70, 106, 83, 110, 123, 128, 124,
130, 13, 17, 17, 23, 20, 27, 27, 29, 40, 48, 48, 62, 68, 70, 70, 72,
52, 57, 75, 76, 58, 66, 80, 81, 65, 70, 98, 100, 105, 106, 111, 112,
52, 75, 57, 76, 58, 80, 66, 81, 65, 98, 70, 100, 105, 111, 106, 112,
75, 108, 108, 114, 82, 109, 109, 115, 98, 111, 111, 116, 127, 131,
131, 133, 14, 18, 18, 24, 25, 28, 28, 30, 41, 49, 49, 63, 69, 71, 71,
73, 55, 59, 78, 79, 69, 71, 83, 84, 66, 71, 99, 101, 106, 107, 112,
113, 55, 78, 59, 79, 69, 83, 71, 84, 66, 99, 71, 101, 106, 112, 107,
113, 96, 109, 109, 115, 122, 124, 124, 125, 100, 112, 112, 117, 128,
132, 132, 134, 6, 15, 15, 40, 51, 56, 56, 68, 8, 17, 17, 42, 74, 75,
75, 96, 15, 26, 56, 65, 56, 65, 104, 105, 17, 27, 57, 66, 75, 80,
108, 109, 15, 56, 26, 65, 56, 104, 65, 105, 17, 57, 27, 66, 75, 108,
80, 109, 40, 65, 65, 98, 68, 105, 105, 127, 42, 66, 66, 99, 96, 109,
109, 129, 7, 16, 16, 41, 54, 58, 58, 69, 9, 18, 18, 43, 77, 78, 78,
97, 20, 27, 58, 66, 68, 70, 105, 106, 21, 28, 59, 67, 82, 83, 109,
110, 20, 58, 27, 66, 68, 105, 70, 106, 21, 59, 28, 67, 82, 109, 83,
110, 45, 70, 70, 100, 121, 123, 123, 128, 46, 71, 71, 101, 122, 124,
124, 130, 13, 17, 40, 48, 52, 57, 65, 70, 17, 23, 48, 62, 75, 76, 98,
100, 20, 27, 68, 70, 58, 66, 105, 106, 27, 29, 70, 72, 80, 81, 111,
112, 52, 75, 65, 98, 75, 108, 98, 111, 57, 76, 70, 100, 108, 114,
111, 116, 58, 80, 105, 111, 82, 109, 127, 131, 66, 81, 106, 112, 109,
115, 131, 133, 14, 18, 41, 49, 55, 59, 66, 71, 18, 24, 49, 63, 78,
79, 99, 101, 25, 28, 69, 71, 69, 71, 106, 107, 28, 30, 71, 73, 83,
84, 112, 113, 55, 78, 66, 99, 96, 109, 100, 112, 59, 79, 71, 101,
109, 115, 112, 117, 69, 83, 106, 112, 122, 124, 128, 132, 71, 84,
107, 113, 124, 125, 132, 134, 13, 40, 17, 48, 52, 65, 57, 70, 17, 48,
23, 62, 75, 98, 76, 100, 52, 65, 75, 98, 75, 98, 108, 111, 57, 70,
76, 100, 108, 111, 114, 116, 20, 68, 27, 70, 58, 105, 66, 106, 27,
70, 29, 72, 80, 111, 81, 112, 58, 105, 80, 111, 82, 127, 109, 131,
66, 106, 81, 112, 109, 131, 115, 133, 14, 41, 18, 49, 55, 66, 59, 71,
18, 49, 24, 63, 78, 99, 79, 101, 55, 66, 78, 99, 96, 100, 109, 112,
59, 71, 79, 101, 109, 112, 115, 117, 25, 69, 28, 71, 69, 106, 71,
107, 28, 71, 30, 73, 83, 112, 84, 113, 69, 106, 83, 112, 122, 128,
124, 132, 71, 107, 84, 113, 124, 132, 125, 134, 36, 42, 42, 62, 55,
66, 66, 72, 42, 62, 62, 94, 96, 100, 100, 102, 55, 66, 96, 100, 78,
99, 109, 112, 66, 72, 100, 102, 109, 112, 116, 118, 55, 96, 66, 100,
78, 109, 99, 112, 66, 100, 72, 102, 109, 116, 112, 118, 78, 109, 109,
116, 90, 129, 129, 133, 99, 112, 112, 118, 129, 133, 133, 135, 37,
43, 43, 63, 64, 67, 67, 73, 43, 63, 63, 95, 97, 101, 101, 103, 64,
67, 97, 101, 97, 101, 110, 113, 67, 73, 101, 103, 110, 113, 117, 119,
64, 97, 67, 101, 97, 110, 101, 113, 67, 101, 73, 103, 110, 117, 113,
119, 97, 110, 110, 117, 126, 130, 130, 134, 101, 113, 113, 119, 130,
134, 134, 136, 2, 6, 12, 15, 6, 13, 15, 20, 12, 15, 38, 40, 51, 52,
56, 58, 6, 13, 51, 52, 13, 36, 52, 55, 15, 20, 56, 58, 52, 55, 75,
78, 12, 51, 38, 56, 15, 52, 40, 58, 38, 56, 44, 68, 56, 75, 68, 82,
15, 52, 56, 75, 20, 55, 58, 78, 40, 58, 68, 82, 58, 78, 82, 90, 6, 8,
15, 17, 15, 17, 26, 27, 15, 17, 40, 42, 56, 57, 65, 66, 15, 17, 56,
57, 40, 42, 65, 66, 26, 27, 65, 66, 65, 66, 98, 99, 51, 74, 56, 75,
56, 75, 65, 80, 56, 75, 68, 96, 104, 108, 105, 109, 56, 75, 104, 108,
68, 96, 105, 109, 65, 80, 105, 109, 105, 109, 127, 129, 3, 7, 19, 20,
7, 14, 20, 25, 19, 20, 44, 45, 54, 55, 68, 69, 7, 14, 54, 55, 14, 37,
55, 64, 20, 25, 68, 69, 55, 64, 96, 97, 19, 54, 44, 68, 20, 55, 45,
69, 44, 68, 120, 121, 68, 96, 121, 122, 20, 55, 68, 96, 25, 64, 69,
97, 45, 69, 121, 122, 69, 97, 122, 126, 7, 9, 20, 21, 16, 18, 27, 28,
20, 21, 45, 46, 58, 59, 70, 71, 16, 18, 58, 59, 41, 43, 66, 67, 27,
28, 70, 71, 66, 67, 100, 101, 54, 77, 68, 82, 58, 78, 70, 83, 68, 82,
121, 122, 105, 109, 123, 124, 58, 78, 105, 109, 69, 97, 106, 110, 70,
83, 123, 124, 106, 110, 128, 130, 6, 15, 15, 26, 8, 17, 17, 27, 51,
56, 56, 65, 74, 75, 75, 80, 15, 40, 56, 65, 17, 42, 57, 66, 56, 68,
104, 105, 75, 96, 108, 109, 15, 56, 40, 65, 17, 57, 42, 66, 56, 104,
68, 105, 75, 108, 96, 109, 26, 65, 65, 98, 27, 66, 66, 99, 65, 105,
105, 127, 80, 109, 109, 129, 13, 17, 20, 27, 17, 23, 27, 29, 52, 57,
58, 66, 75, 76, 80, 81, 40, 48, 68, 70, 48, 62, 70, 72, 65, 70, 105,
106, 98, 100, 111, 112, 52, 75, 58, 80, 57, 76, 66, 81, 75, 108, 82,
109, 108, 114, 109, 115, 65, 98, 105, 111, 70, 100, 106, 112, 98,
111, 127, 131, 111, 116, 131, 133, 7, 16, 20, 27, 9, 18, 21, 28, 54,
58, 68, 70, 77, 78, 82, 83, 16, 41, 58, 66, 18, 43, 59, 67, 58, 69,
105, 106, 78, 97, 109, 110, 20, 58, 45, 70, 21, 59, 46, 71, 68, 105,
121, 123, 82, 109, 122, 124, 27, 66, 70, 100, 28, 67, 71, 101, 70,
106, 123, 128, 83, 110, 124, 130, 14, 18, 25, 28, 18, 24, 28, 30, 55,
59, 69, 71, 78, 79, 83, 84, 41, 49, 69, 71, 49, 63, 71, 73, 66, 71,
106, 107, 99, 101, 112, 113, 55, 78, 69, 83, 59, 79, 71, 84, 96, 109,
122, 124, 109, 115, 124, 125, 66, 99, 106, 112, 71, 101, 107, 113,
100, 112, 128, 132, 112, 117, 132, 134, 6, 15, 51, 56, 15, 40, 56,
68, 15, 26, 56, 65, 56, 65, 104, 105, 8, 17, 74, 75, 17, 42, 75, 96,
17, 27, 75, 80, 57, 66, 108, 109, 15, 56, 56, 104, 26, 65, 65, 105,
40, 65, 68, 105, 65, 98, 105, 127, 17, 57, 75, 108, 27, 66, 80, 109,
42, 66, 96, 109, 66, 99, 109, 129, 13, 17, 52, 57, 40, 48, 65, 70,
20, 27, 58, 66, 68, 70, 105, 106, 17, 23, 75, 76, 48, 62, 98, 100,
27, 29, 80, 81, 70, 72, 111, 112, 52, 75, 75, 108, 65, 98, 98, 111,
58, 80, 82, 109, 105, 111, 127, 131, 57, 76, 108, 114, 70, 100, 111,
116, 66, 81, 109, 115, 106, 112, 131, 133, 7, 16, 54, 58, 16, 41, 58,
69, 20, 27, 68, 70, 58, 66, 105, 106, 9, 18, 77, 78, 18, 43, 78, 97,
21, 28, 82, 83, 59, 67, 109, 110, 20, 58, 68, 105, 27, 66, 70, 106,
45, 70, 121, 123, 70, 100, 123, 128, 21, 59, 82, 109, 28, 67, 83,
110, 46, 71, 122, 124, 71, 101, 124, 130, 14, 18, 55, 59, 41, 49, 66,
71, 25, 28, 69, 71, 69, 71, 106, 107, 18, 24, 78, 79, 49, 63, 99,
101, 28, 30, 83, 84, 71, 73, 112, 113, 55, 78, 96, 109, 66, 99, 100,
112, 69, 83, 122, 124, 106, 112, 128, 132, 59, 79, 109, 115, 71, 101,
112, 117, 71, 84, 124, 125, 107, 113, 132, 134, 13, 40, 52, 65, 17,
48, 57, 70, 52, 65, 75, 98, 75, 98, 108, 111, 17, 48, 75, 98, 23, 62,
76, 100, 57, 70, 108, 111, 76, 100, 114, 116, 20, 68, 58, 105, 27,
70, 66, 106, 58, 105, 82, 127, 80, 111, 109, 131, 27, 70, 80, 111,
29, 72, 81, 112, 66, 106, 109, 131, 81, 112, 115, 133, 36, 42, 55,
66, 42, 62, 66, 72, 55, 66, 78, 99, 96, 100, 109, 112, 42, 62, 96,
100, 62, 94, 100, 102, 66, 72, 109, 112, 100, 102, 116, 118, 55, 96,
78, 109, 66, 100, 99, 112, 78, 109, 90, 129, 109, 116, 129, 133, 66,
100, 109, 116, 72, 102, 112, 118, 99, 112, 129, 133, 112, 118, 133,
135, 14, 41, 55, 66, 18, 49, 59, 71, 55, 66, 96, 100, 78, 99, 109,
112, 18, 49, 78, 99, 24, 63, 79, 101, 59, 71, 109, 112, 79, 101, 115,
117, 25, 69, 69, 106, 28, 71, 71, 107, 69, 106, 122, 128, 83, 112,
124, 132, 28, 71, 83, 112, 30, 73, 84, 113, 71, 107, 124, 132, 84,
113, 125, 134, 37, 43, 64, 67, 43, 63, 67, 73, 64, 67, 97, 101, 97,
101, 110, 113, 43, 63, 97, 101, 63, 95, 101, 103, 67, 73, 110, 113,
101, 103, 117, 119, 64, 97, 97, 110, 67, 101, 101, 113, 97, 110, 126,
130, 110, 117, 130, 134, 67, 101, 110, 117, 73, 103, 113, 119, 101,
113, 130, 134, 113, 119, 134, 136, 4, 7, 13, 16, 13, 16, 17, 21, 13,
16, 39, 41, 52, 53, 57, 59, 13, 16, 52, 53, 39, 41, 57, 59, 17, 21,
57, 59, 57, 59, 76, 79, 35, 54, 40, 58, 40, 58, 48, 60, 40, 58, 45,
69, 65, 80, 70, 83, 40, 58, 65, 80, 45, 69, 70, 83, 48, 60, 70, 83,
70, 83, 86, 91, 7, 9, 16, 18, 20, 21, 27, 28, 16, 18, 41, 43, 58, 59,
66, 67, 20, 21, 58, 59, 45, 46, 70, 71, 27, 28, 66, 67, 70, 71, 100,
101, 54, 77, 58, 78, 68, 82, 70, 83, 58, 78, 69, 97, 105, 109, 106,
110, 68, 82, 105, 109, 121, 122, 123, 124, 70, 83, 106, 110, 123,
124, 128, 130, 7, 9, 20, 21, 16, 18, 27, 28, 20, 21, 45, 46, 58, 59,
70, 71, 16, 18, 58, 59, 41, 43, 66, 67, 27, 28, 70, 71, 66, 67, 100,
101, 54, 77, 68, 82, 58, 78, 70, 83, 68, 82, 121, 122, 105, 109, 123,
124, 58, 78, 105, 109, 69, 97, 106, 110, 70, 83, 123, 124, 106, 110,
128, 130, 9, 10, 21, 22, 21, 22, 29, 30, 21, 22, 46, 47, 60, 61, 72,
73, 21, 22, 60, 61, 46, 47, 72, 73, 29, 30, 72, 73, 72, 73, 102, 103,
77, 89, 82, 90, 82, 90, 86, 91, 82, 90, 122, 126, 127, 129, 128, 130,
82, 90, 127, 129, 122, 126, 128, 130, 86, 91, 128, 130, 128, 130,
141, 142, 13, 20, 17, 27, 17, 27, 23, 29, 52, 58, 57, 66, 75, 80, 76,
81, 52, 58, 75, 80, 57, 66, 76, 81, 75, 82, 108, 109, 108, 109, 114,
115, 40, 68, 48, 70, 48, 70, 62, 72, 65, 105, 70, 106, 98, 111, 100,
112, 65, 105, 98, 111, 70, 106, 100, 112, 98, 127, 111, 131, 111,
131, 116, 133, 16, 21, 21, 28, 27, 29, 29, 31, 53, 59, 59, 67, 80,
81, 81, 85, 58, 60, 82, 83, 70, 72, 86, 87, 80, 83, 109, 110, 111,
112, 116, 117, 58, 82, 60, 83, 70, 86, 72, 87, 80, 109, 83, 110, 111,
116, 112, 117, 105, 127, 127, 131, 123, 128, 128, 132, 111, 131, 131,
143, 144, 145, 145, 146, 16, 21, 27, 29, 21, 28, 29, 31, 58, 60, 70,
72, 82, 83, 86, 87, 53, 59, 80, 81, 59, 67, 81, 85, 80, 83, 111, 112,
109, 110, 116, 117, 58, 82, 70, 86, 60, 83, 72, 87, 105, 127, 123,
128, 127, 131, 128, 132, 80, 109, 111, 116, 83, 110, 112, 117, 111,
131, 144, 145, 131, 143, 145, 146, 18, 22, 28, 30, 28, 30, 31, 32,
59, 61, 71, 73, 83, 84, 87, 88, 59, 61, 83, 84, 71, 73, 87, 88, 81,
84, 112, 113, 112, 113, 118, 119, 78, 90, 83, 91, 83, 91, 87, 92,
109, 129, 124, 130, 131, 133, 132, 134, 109, 129, 131, 133, 124, 130,
132, 134, 116, 133, 145, 146, 145, 146, 147, 148, 13, 20, 52, 58, 52,
58, 75, 82, 17, 27, 57, 66, 75, 80, 108, 109, 17, 27, 75, 80, 57, 66,
108, 109, 23, 29, 76, 81, 76, 81, 114, 115, 40, 68, 65, 105, 65, 105,
98, 127, 48, 70, 70, 106, 98, 111, 111, 131, 48, 70, 98, 111, 70,
106, 111, 131, 62, 72, 100, 112, 100, 112, 116, 133, 16, 21, 53, 59,
58, 60, 80, 83, 21, 28, 59, 67, 82, 83, 109, 110, 27, 29, 80, 81, 70,
72, 111, 112, 29, 31, 81, 85, 86, 87, 116, 117, 58, 82, 80, 109, 105,
127, 111, 131, 60, 83, 83, 110, 127, 131, 131, 143, 70, 86, 111, 116,
123, 128, 144, 145, 72, 87, 112, 117, 128, 132, 145, 146, 16, 21, 58,
60, 53, 59, 80, 83, 27, 29, 70, 72, 80, 81, 111, 112, 21, 28, 82, 83,
59, 67, 109, 110, 29, 31, 86, 87, 81, 85, 116, 117, 58, 82, 105, 127,
80, 109, 111, 131, 70, 86, 123, 128, 111, 116, 144, 145, 60, 83, 127,
131, 83, 110, 131, 143, 72, 87, 128, 132, 112, 117, 145, 146, 18, 22,
59, 61, 59, 61, 81, 84, 28, 30, 71, 73, 83, 84, 112, 113, 28, 30, 83,
84, 71, 73, 112, 113, 31, 32, 87, 88, 87, 88, 118, 119, 78, 90, 109,
129, 109, 129, 116, 133, 83, 91, 124, 130, 131, 133, 145, 146, 83,
91, 131, 133, 124, 130, 145, 146, 87, 92, 132, 134, 132, 134, 147,
148, 39, 45, 57, 70, 57, 70, 76, 86, 57, 70, 76, 100, 108, 111, 114,
116, 57, 70, 108, 111, 76, 100, 114, 116, 76, 86, 114, 116, 114, 116,
137, 138, 45, 121, 70, 123, 70, 123, 100, 128, 70, 123, 86, 128, 111,
144, 116, 145, 70, 123, 111, 144, 86, 128, 116, 145, 100, 128, 116,
145, 116, 145, 138, 149, 41, 46, 59, 71, 66, 72, 81, 87, 59, 71, 79,
101, 109, 112, 115, 117, 66, 72, 109, 112, 100, 102, 116, 118, 81,
87, 115, 117, 116, 118, 138, 139, 69, 122, 83, 124, 106, 128, 112,
132, 83, 124, 91, 130, 131, 145, 133, 146, 106, 128, 131, 145, 128,
141, 145, 147, 112, 132, 133, 146, 145, 147, 149, 150, 41, 46, 66,
72, 59, 71, 81, 87, 66, 72, 100, 102, 109, 112, 116, 118, 59, 71,
109, 112, 79, 101, 115, 117, 81, 87, 116, 118, 115, 117, 138, 139,
69, 122, 106, 128, 83, 124, 112, 132, 106, 128, 128, 141, 131, 145,
145, 147, 83, 124, 131, 145, 91, 130, 133, 146, 112, 132, 145, 147,
133, 146, 149, 150, 43, 47, 67, 73, 67, 73, 85, 88, 67, 73, 101, 103,
110, 113, 117, 119, 67, 73, 110, 113, 101, 103, 117, 119, 85, 88,
117, 119, 117, 119, 139, 140, 97, 126, 110, 130, 110, 130, 117, 134,
110, 130, 130, 142, 143, 146, 146, 148, 110, 130, 143, 146, 130, 142,
146, 148, 117, 134, 146, 148, 146, 148, 150, 151, 2, 12, 6, 15, 6,
15, 13, 20, 12, 38, 15, 40, 51, 56, 52, 58, 12, 38, 51, 56, 15, 40,
52, 58, 38, 44, 56, 68, 56, 68, 75, 82, 6, 51, 13, 52, 13, 52, 36,
55, 15, 56, 20, 58, 52, 75, 55, 78, 15, 56, 52, 75, 20, 58, 55, 78,
40, 68, 58, 82, 58, 82, 78, 90, 6, 15, 8, 17, 15, 26, 17, 27, 15, 40,
17, 42, 56, 65, 57, 66, 51, 56, 74, 75, 56, 65, 75, 80, 56, 68, 75,
96, 104, 105, 108, 109, 15, 56, 17, 57, 40, 65, 42, 66, 26, 65, 27,
66, 65, 98, 66, 99, 56, 104, 75, 108, 68, 105, 96, 109, 65, 105, 80,
109, 105, 127, 109, 129, 6, 15, 15, 26, 8, 17, 17, 27, 51, 56, 56,
65, 74, 75, 75, 80, 15, 40, 56, 65, 17, 42, 57, 66, 56, 68, 104, 105,
75, 96, 108, 109, 15, 56, 40, 65, 17, 57, 42, 66, 56, 104, 68, 105,
75, 108, 96, 109, 26, 65, 65, 98, 27, 66, 66, 99, 65, 105, 105, 127,
80, 109, 109, 129, 13, 20, 17, 27, 17, 27, 23, 29, 52, 58, 57, 66,
75, 80, 76, 81, 52, 58, 75, 80, 57, 66, 76, 81, 75, 82, 108, 109,
108, 109, 114, 115, 40, 68, 48, 70, 48, 70, 62, 72, 65, 105, 70, 106,
98, 111, 100, 112, 65, 105, 98, 111, 70, 106, 100, 112, 98, 127, 111,
131, 111, 131, 116, 133, 3, 19, 7, 20, 7, 20, 14, 25, 19, 44, 20, 45,
54, 68, 55, 69, 19, 44, 54, 68, 20, 45, 55, 69, 44, 120, 68, 121, 68,
121, 96, 122, 7, 54, 14, 55, 14, 55, 37, 64, 20, 68, 25, 69, 55, 96,
64, 97, 20, 68, 55, 96, 25, 69, 64, 97, 45, 121, 69, 122, 69, 122,
97, 126, 7, 20, 9, 21, 16, 27, 18, 28, 20, 45, 21, 46, 58, 70, 59,
71, 54, 68, 77, 82, 58, 70, 78, 83, 68, 121, 82, 122, 105, 123, 109,
124, 16, 58, 18, 59, 41, 66, 43, 67, 27, 70, 28, 71, 66, 100, 67,
101, 58, 105, 78, 109, 69, 106, 97, 110, 70, 123, 83, 124, 106, 128,
110, 130, 7, 20, 16, 27, 9, 21, 18, 28, 54, 68, 58, 70, 77, 82, 78,
83, 20, 45, 58, 70, 21, 46, 59, 71, 68, 121, 105, 123, 82, 122, 109,
124, 16, 58, 41, 66, 18, 59, 43, 67, 58, 105, 69, 106, 78, 109, 97,
110, 27, 70, 66, 100, 28, 71, 67, 101, 70, 123, 106, 128, 83, 124,
110, 130, 14, 25, 18, 28, 18, 28, 24, 30, 55, 69, 59, 71, 78, 83, 79,
84, 55, 69, 78, 83, 59, 71, 79, 84, 96, 122, 109, 124, 109, 124, 115,
125, 41, 69, 49, 71, 49, 71, 63, 73, 66, 106, 71, 107, 99, 112, 101,
113, 66, 106, 99, 112, 71, 107, 101, 113, 100, 128, 112, 132, 112,
132, 117, 134, 6, 51, 15, 56, 15, 56, 40, 68, 15, 56, 26, 65, 56,
104, 65, 105, 15, 56, 56, 104, 26, 65, 65, 105, 40, 68, 65, 105, 65,
105, 98, 127, 8, 74, 17, 75, 17, 75, 42, 96, 17, 75, 27, 80, 57, 108,
66, 109, 17, 75, 57, 108, 27, 80, 66, 109, 42, 96, 66, 109, 66, 109,
99, 129, 13, 52, 17, 57, 40, 65, 48, 70, 20, 58, 27, 66, 68, 105, 70,
106, 52, 75, 75, 108, 65, 98, 98, 111, 58, 82, 80, 109, 105, 127,
111, 131, 17, 75, 23, 76, 48, 98, 62, 100, 27, 80, 29, 81, 70, 111,
72, 112, 57, 108, 76, 114, 70, 111, 100, 116, 66, 109, 81, 115, 106,
131, 112, 133, 13, 52, 40, 65, 17, 57, 48, 70, 52, 75, 65, 98, 75,
108, 98, 111, 20, 58, 68, 105, 27, 66, 70, 106, 58, 82, 105, 127, 80,
109, 111, 131, 17, 75, 48, 98, 23, 76, 62, 100, 57, 108, 70, 111, 76,
114, 100, 116, 27, 80, 70, 111, 29, 81, 72, 112, 66, 109, 106, 131,
81, 115, 112, 133, 36, 55, 42, 66, 42, 66, 62, 72, 55, 78, 66, 99,
96, 109, 100, 112, 55, 78, 96, 109, 66, 99, 100, 112, 78, 90, 109,
129, 109, 129, 116, 133, 42, 96, 62, 100, 62, 100, 94, 102, 66, 109,
72, 112, 100, 116, 102, 118, 66, 109, 100, 116, 72, 112, 102, 118,
99, 129, 112, 133, 112, 133, 118, 135, 7, 54, 16, 58, 16, 58, 41, 69,
20, 68, 27, 70, 58, 105, 66, 106, 20, 68, 58, 105, 27, 70, 66, 106,
45, 121, 70, 123, 70, 123, 100, 128, 9, 77, 18, 78, 18, 78, 43, 97,
21, 82, 28, 83, 59, 109, 67, 110, 21, 82, 59, 109, 28, 83, 67, 110,
46, 122, 71, 124, 71, 124, 101, 130, 14, 55, 18, 59, 41, 66, 49, 71,
25, 69, 28, 71, 69, 106, 71, 107, 55, 96, 78, 109, 66, 100, 99, 112,
69, 122, 83, 124, 106, 128, 112, 132, 18, 78, 24, 79, 49, 99, 63,
101, 28, 83, 30, 84, 71, 112, 73, 113, 59, 109, 79, 115, 71, 112,
101, 117, 71, 124, 84, 125, 107, 132, 113, 134, 14, 55, 41, 66, 18,
59, 49, 71, 55, 96, 66, 100, 78, 109, 99, 112, 25, 69, 69, 106, 28,
71, 71, 107, 69, 122, 106, 128, 83, 124, 112, 132, 18, 78, 49, 99,
24, 79, 63, 101, 59, 109, 71, 112, 79, 115, 101, 117, 28, 83, 71,
112, 30, 84, 73, 113, 71, 124, 107, 132, 84, 125, 113, 134, 37, 64,
43, 67, 43, 67, 63, 73, 64, 97, 67, 101, 97, 110, 101, 113, 64, 97,
97, 110, 67, 101, 101, 113, 97, 126, 110, 130, 110, 130, 117, 134,
43, 97, 63, 101, 63, 101, 95, 103, 67, 110, 73, 113, 101, 117, 103,
119, 67, 110, 101, 117, 73, 113, 103, 119, 101, 130, 113, 134, 113,
134, 119, 136, 4, 13, 7, 16, 13, 17, 16, 21, 13, 39, 16, 41, 52, 57,
53, 59, 35, 40, 54, 58, 40, 48, 58, 60, 40, 45, 58, 69, 65, 70, 80,
83, 13, 52, 16, 53, 39, 57, 41, 59, 17, 57, 21, 59, 57, 76, 59, 79,
40, 65, 58, 80, 45, 70, 69, 83, 48, 70, 60, 83, 70, 86, 83, 91, 7,
16, 9, 18, 20, 27, 21, 28, 16, 41, 18, 43, 58, 66, 59, 67, 54, 58,
77, 78, 68, 70, 82, 83, 58, 69, 78, 97, 105, 106, 109, 110, 20, 58,
21, 59, 45, 70, 46, 71, 27, 66, 28, 67, 70, 100, 71, 101, 68, 105,
82, 109, 121, 123, 122, 124, 70, 106, 83, 110, 123, 128, 124, 130,
13, 17, 20, 27, 17, 23, 27, 29, 52, 57, 58, 66, 75, 76, 80, 81, 40,
48, 68, 70, 48, 62, 70, 72, 65, 70, 105, 106, 98, 100, 111, 112, 52,
75, 58, 80, 57, 76, 66, 81, 75, 108, 82, 109, 108, 114, 109, 115, 65,
98, 105, 111, 70, 100, 106, 112, 98, 111, 127, 131, 111, 116, 131,
133, 16, 21, 21, 28, 27, 29, 29, 31, 53, 59, 59, 67, 80, 81, 81, 85,
58, 60, 82, 83, 70, 72, 86, 87, 80, 83, 109, 110, 111, 112, 116, 117,
58, 82, 60, 83, 70, 86, 72, 87, 80, 109, 83, 110, 111, 116, 112, 117,
105, 127, 127, 131, 123, 128, 128, 132, 111, 131, 131, 143, 144, 145,
145, 146, 7, 20, 9, 21, 16, 27, 18, 28, 20, 45, 21, 46, 58, 70, 59,
71, 54, 68, 77, 82, 58, 70, 78, 83, 68, 121, 82, 122, 105, 123, 109,
124, 16, 58, 18, 59, 41, 66, 43, 67, 27, 70, 28, 71, 66, 100, 67,
101, 58, 105, 78, 109, 69, 106, 97, 110, 70, 123, 83, 124, 106, 128,
110, 130, 9, 21, 10, 22, 21, 29, 22, 30, 21, 46, 22, 47, 60, 72, 61,
73, 77, 82, 89, 90, 82, 86, 90, 91, 82, 122, 90, 126, 127, 128, 129,
130, 21, 60, 22, 61, 46, 72, 47, 73, 29, 72, 30, 73, 72, 102, 73,
103, 82, 127, 90, 129, 122, 128, 126, 130, 86, 128, 91, 130, 128,
141, 130, 142, 16, 27, 21, 29, 21, 29, 28, 31, 58, 70, 60, 72, 82,
86, 83, 87, 58, 70, 82, 86, 60, 72, 83, 87, 105, 123, 127, 128, 127,
128, 131, 132, 53, 80, 59, 81, 59, 81, 67, 85, 80, 111, 83, 112, 109,
116, 110, 117, 80, 111, 109, 116, 83, 112, 110, 117, 111, 144, 131,
145, 131, 145, 143, 146, 18, 28, 22, 30, 28, 31, 30, 32, 59, 71, 61,
73, 83, 87, 84, 88, 78, 83, 90, 91, 83, 87, 91, 92, 109, 124, 129,
130, 131, 132, 133, 134, 59, 83, 61, 84, 71, 87, 73, 88, 81, 112, 84,
113, 112, 118, 113, 119, 109, 131, 129, 133, 124, 132, 130, 134, 116,
145, 133, 146, 145, 147, 146, 148, 13, 52, 20, 58, 52, 75, 58, 82,
17, 57, 27, 66, 75, 108, 80, 109, 40, 65, 68, 105, 65, 98, 105, 127,
48, 70, 70, 106, 98, 111, 111, 131, 17, 75, 27, 80, 57, 108, 66, 109,
23, 76, 29, 81, 76, 114, 81, 115, 48, 98, 70, 111, 70, 111, 106, 131,
62, 100, 72, 112, 100, 116, 112, 133, 16, 53, 21, 59, 58, 80, 60, 83,
21, 59, 28, 67, 82, 109, 83, 110, 58, 80, 82, 109, 105, 111, 127,
131, 60, 83, 83, 110, 127, 131, 131, 143, 27, 80, 29, 81, 70, 111,
72, 112, 29, 81, 31, 85, 86, 116, 87, 117, 70, 111, 86, 116, 123,
144, 128, 145, 72, 112, 87, 117, 128, 145, 132, 146, 39, 57, 45, 70,
57, 76, 70, 86, 57, 76, 70, 100, 108, 114, 111, 116, 45, 70, 121,
123, 70, 100, 123, 128, 70, 86, 123, 128, 111, 116, 144, 145, 57,
108, 70, 111, 76, 114, 100, 116, 76, 114, 86, 116, 114, 137, 116,
138, 70, 111, 123, 144, 86, 116, 128, 145, 100, 116, 128, 145, 116,
138, 145, 149, 41, 59, 46, 71, 66, 81, 72, 87, 59, 79, 71, 101, 109,
115, 112, 117, 69, 83, 122, 124, 106, 112, 128, 132, 83, 91, 124,
130, 131, 133, 145, 146, 66, 109, 72, 112, 100, 116, 102, 118, 81,
115, 87, 117, 116, 138, 118, 139, 106, 131, 128, 145, 128, 145, 141,
147, 112, 133, 132, 146, 145, 149, 147, 150, 16, 58, 21, 60, 53, 80,
59, 83, 27, 70, 29, 72, 80, 111, 81, 112, 58, 105, 82, 127, 80, 111,
109, 131, 70, 123, 86, 128, 111, 144, 116, 145, 21, 82, 28, 83, 59,
109, 67, 110, 29, 86, 31, 87, 81, 116, 85, 117, 60, 127, 83, 131, 83,
131, 110, 143, 72, 128, 87, 132, 112, 145, 117, 146, 18, 59, 22, 61,
59, 81, 61, 84, 28, 71, 30, 73, 83, 112, 84, 113, 78, 109, 90, 129,
109, 116, 129, 133, 83, 124, 91, 130, 131, 145, 133, 146, 28, 83, 30,
84, 71, 112, 73, 113, 31, 87, 32, 88, 87, 118, 88, 119, 83, 131, 91,
133, 124, 145, 130, 146, 87, 132, 92, 134, 132, 147, 134, 148, 41,
66, 46, 72, 59, 81, 71, 87, 66, 100, 72, 102, 109, 116, 112, 118, 69,
106, 122, 128, 83, 112, 124, 132, 106, 128, 128, 141, 131, 145, 145,
147, 59, 109, 71, 112, 79, 115, 101, 117, 81, 116, 87, 118, 115, 138,
117, 139, 83, 131, 124, 145, 91, 133, 130, 146, 112, 145, 132, 147,
133, 149, 146, 150, 43, 67, 47, 73, 67, 85, 73, 88, 67, 101, 73, 103,
110, 117, 113, 119, 97, 110, 126, 130, 110, 117, 130, 134, 110, 130,
130, 142, 143, 146, 146, 148, 67, 110, 73, 113, 101, 117, 103, 119,
85, 117, 88, 119, 117, 139, 119, 140, 110, 143, 130, 146, 130, 146,
142, 148, 117, 146, 134, 148, 146, 150, 148, 151, 4, 13, 13, 17, 7,
16, 16, 21, 35, 40, 40, 48, 54, 58, 58, 60, 13, 39, 52, 57, 16, 41,
53, 59, 40, 45, 65, 70, 58, 69, 80, 83, 13, 52, 39, 57, 16, 53, 41,
59, 40, 65, 45, 70, 58, 80, 69, 83, 17, 57, 57, 76, 21, 59, 59, 79,
48, 70, 70, 86, 60, 83, 83, 91, 13, 17, 17, 23, 20, 27, 27, 29, 40,
48, 48, 62, 68, 70, 70, 72, 52, 57, 75, 76, 58, 66, 80, 81, 65, 70,
98, 100, 105, 106, 111, 112, 52, 75, 57, 76, 58, 80, 66, 81, 65, 98,
70, 100, 105, 111, 106, 112, 75, 108, 108, 114, 82, 109, 109, 115,
98, 111, 111, 116, 127, 131, 131, 133, 7, 16, 20, 27, 9, 18, 21, 28,
54, 58, 68, 70, 77, 78, 82, 83, 16, 41, 58, 66, 18, 43, 59, 67, 58,
69, 105, 106, 78, 97, 109, 110, 20, 58, 45, 70, 21, 59, 46, 71, 68,
105, 121, 123, 82, 109, 122, 124, 27, 66, 70, 100, 28, 67, 71, 101,
70, 106, 123, 128, 83, 110, 124, 130, 16, 21, 27, 29, 21, 28, 29, 31,
58, 60, 70, 72, 82, 83, 86, 87, 53, 59, 80, 81, 59, 67, 81, 85, 80,
83, 111, 112, 109, 110, 116, 117, 58, 82, 70, 86, 60, 83, 72, 87,
105, 127, 123, 128, 127, 131, 128, 132, 80, 109, 111, 116, 83, 110,
112, 117, 111, 131, 144, 145, 131, 143, 145, 146, 7, 20, 16, 27, 9,
21, 18, 28, 54, 68, 58, 70, 77, 82, 78, 83, 20, 45, 58, 70, 21, 46,
59, 71, 68, 121, 105, 123, 82, 122, 109, 124, 16, 58, 41, 66, 18, 59,
43, 67, 58, 105, 69, 106, 78, 109, 97, 110, 27, 70, 66, 100, 28, 71,
67, 101, 70, 123, 106, 128, 83, 124, 110, 130, 16, 27, 21, 29, 21,
29, 28, 31, 58, 70, 60, 72, 82, 86, 83, 87, 58, 70, 82, 86, 60, 72,
83, 87, 105, 123, 127, 128, 127, 128, 131, 132, 53, 80, 59, 81, 59,
81, 67, 85, 80, 111, 83, 112, 109, 116, 110, 117, 80, 111, 109, 116,
83, 112, 110, 117, 111, 144, 131, 145, 131, 145, 143, 146, 9, 21, 21,
29, 10, 22, 22, 30, 77, 82, 82, 86, 89, 90, 90, 91, 21, 46, 60, 72,
22, 47, 61, 73, 82, 122, 127, 128, 90, 126, 129, 130, 21, 60, 46, 72,
22, 61, 47, 73, 82, 127, 122, 128, 90, 129, 126, 130, 29, 72, 72,
102, 30, 73, 73, 103, 86, 128, 128, 141, 91, 130, 130, 142, 18, 28,
28, 31, 22, 30, 30, 32, 78, 83, 83, 87, 90, 91, 91, 92, 59, 71, 83,
87, 61, 73, 84, 88, 109, 124, 131, 132, 129, 130, 133, 134, 59, 83,
71, 87, 61, 84, 73, 88, 109, 131, 124, 132, 129, 133, 130, 134, 81,
112, 112, 118, 84, 113, 113, 119, 116, 145, 145, 147, 133, 146, 146,
148, 13, 52, 52, 75, 20, 58, 58, 82, 40, 65, 65, 98, 68, 105, 105,
127, 17, 57, 75, 108, 27, 66, 80, 109, 48, 70, 98, 111, 70, 106, 111,
131, 17, 75, 57, 108, 27, 80, 66, 109, 48, 98, 70, 111, 70, 111, 106,
131, 23, 76, 76, 114, 29, 81, 81, 115, 62, 100, 100, 116, 72, 112,
112, 133, 39, 57, 57, 76, 45, 70, 70, 86, 45, 70, 70, 100, 121, 123,
123, 128, 57, 76, 108, 114, 70, 100, 111, 116, 70, 86, 111, 116, 123,
128, 144, 145, 57, 108, 76, 114, 70, 111, 100, 116, 70, 111, 86, 116,
123, 144, 128, 145, 76, 114, 114, 137, 86, 116, 116, 138, 100, 116,
116, 138, 128, 145, 145, 149, 16, 53, 58, 80, 21, 59, 60, 83, 58, 80,
105, 111, 82, 109, 127, 131, 21, 59, 82, 109, 28, 67, 83, 110, 60,
83, 127, 131, 83, 110, 131, 143, 27, 80, 70, 111, 29, 81, 72, 112,
70, 111, 123, 144, 86, 116, 128, 145, 29, 81, 86, 116, 31, 85, 87,
117, 72, 112, 128, 145, 87, 117, 132, 146, 41, 59, 66, 81, 46, 71,
72, 87, 69, 83, 106, 112, 122, 124, 128, 132, 59, 79, 109, 115, 71,
101, 112, 117, 83, 91, 131, 133, 124, 130, 145, 146, 66, 109, 100,
116, 72, 112, 102, 118, 106, 131, 128, 145, 128, 145, 141, 147, 81,
115, 116, 138, 87, 117, 118, 139, 112, 133, 145, 149, 132, 146, 147,
150, 16, 58, 53, 80, 21, 60, 59, 83, 58, 105, 80, 111, 82, 127, 109,
131, 27, 70, 80, 111, 29, 72, 81, 112, 70, 123, 111, 144, 86, 128,
116, 145, 21, 82, 59, 109, 28, 83, 67, 110, 60, 127, 83, 131, 83,
131, 110, 143, 29, 86, 81, 116, 31, 87, 85, 117, 72, 128, 112, 145,
87, 132, 117, 146, 41, 66, 59, 81, 46, 72, 71, 87, 69, 106, 83, 112,
122, 128, 124, 132, 66, 100, 109, 116, 72, 102, 112, 118, 106, 128,
131, 145, 128, 141, 145, 147, 59, 109, 79, 115, 71, 112, 101, 117,
83, 131, 91, 133, 124, 145, 130, 146, 81, 116, 115, 138, 87, 118,
117, 139, 112, 145, 133, 149, 132, 147, 146, 150, 18, 59, 59, 81, 22,
61, 61, 84, 78, 109, 109, 116, 90, 129, 129, 133, 28, 71, 83, 112,
30, 73, 84, 113, 83, 124, 131, 145, 91, 130, 133, 146, 28, 83, 71,
112, 30, 84, 73, 113, 83, 131, 124, 145, 91, 133, 130, 146, 31, 87,
87, 118, 32, 88, 88, 119, 87, 132, 132, 147, 92, 134, 134, 148, 43,
67, 67, 85, 47, 73, 73, 88, 97, 110, 110, 117, 126, 130, 130, 134,
67, 101, 110, 117, 73, 103, 113, 119, 110, 130, 143, 146, 130, 142,
146, 148, 67, 110, 101, 117, 73, 113, 103, 119, 110, 143, 130, 146,
130, 146, 142, 148, 85, 117, 117, 139, 88, 119, 119, 140, 117, 146,
146, 150, 134, 148, 148, 151, 11, 14, 14, 18, 14, 18, 18, 22, 36, 41,
41, 49, 55, 59, 59, 61, 36, 41, 55, 59, 41, 49, 59, 61, 42, 46, 66,
71, 66, 71, 81, 84, 36, 55, 41, 59, 41, 59, 49, 61, 42, 66, 46, 71,
66, 81, 71, 84, 42, 66, 66, 81, 46, 71, 71, 84, 62, 72, 72, 87, 72,
87, 87, 92, 14, 18, 18, 24, 25, 28, 28, 30, 41, 49, 49, 63, 69, 71,
71, 73, 55, 59, 78, 79, 69, 71, 83, 84, 66, 71, 99, 101, 106, 107,
112, 113, 55, 78, 59, 79, 69, 83, 71, 84, 66, 99, 71, 101, 106, 112,
107, 113, 96, 109, 109, 115, 122, 124, 124, 125, 100, 112, 112, 117,
128, 132, 132, 134, 14, 18, 25, 28, 18, 24, 28, 30, 55, 59, 69, 71,
78, 79, 83, 84, 41, 49, 69, 71, 49, 63, 71, 73, 66, 71, 106, 107, 99,
101, 112, 113, 55, 78, 69, 83, 59, 79, 71, 84, 96, 109, 122, 124,
109, 115, 124, 125, 66, 99, 106, 112, 71, 101, 107, 113, 100, 112,
128, 132, 112, 117, 132, 134, 18, 22, 28, 30, 28, 30, 31, 32, 59, 61,
71, 73, 83, 84, 87, 88, 59, 61, 83, 84, 71, 73, 87, 88, 81, 84, 112,
113, 112, 113, 118, 119, 78, 90, 83, 91, 83, 91, 87, 92, 109, 129,
124, 130, 131, 133, 132, 134, 109, 129, 131, 133, 124, 130, 132, 134,
116, 133, 145, 146, 145, 146, 147, 148, 14, 25, 18, 28, 18, 28, 24,
30, 55, 69, 59, 71, 78, 83, 79, 84, 55, 69, 78, 83, 59, 71, 79, 84,
96, 122, 109, 124, 109, 124, 115, 125, 41, 69, 49, 71, 49, 71, 63,
73, 66, 106, 71, 107, 99, 112, 101, 113, 66, 106, 99, 112, 71, 107,
101, 113, 100, 128, 112, 132, 112, 132, 117, 134, 18, 28, 22, 30, 28,
31, 30, 32, 59, 71, 61, 73, 83, 87, 84, 88, 78, 83, 90, 91, 83, 87,
91, 92, 109, 124, 129, 130, 131, 132, 133, 134, 59, 83, 61, 84, 71,
87, 73, 88, 81, 112, 84, 113, 112, 118, 113, 119, 109, 131, 129, 133,
124, 132, 130, 134, 116, 145, 133, 146, 145, 147, 146, 148, 18, 28,
28, 31, 22, 30, 30, 32, 78, 83, 83, 87, 90, 91, 91, 92, 59, 71, 83,
87, 61, 73, 84, 88, 109, 124, 131, 132, 129, 130, 133, 134, 59, 83,
71, 87, 61, 84, 73, 88, 109, 131, 124, 132, 129, 133, 130, 134, 81,
112, 112, 118, 84, 113, 113, 119, 116, 145, 145, 147, 133, 146, 146,
148, 24, 30, 30, 32, 30, 32, 32, 33, 79, 84, 84, 88, 91, 92, 92, 93,
79, 84, 91, 92, 84, 88, 92, 93, 115, 125, 133, 134, 133, 134, 135,
136, 79, 91, 84, 92, 84, 92, 88, 93, 115, 133, 125, 134, 133, 135,
134, 136, 115, 133, 133, 135, 125, 134, 134, 136, 138, 149, 149, 150,
149, 150, 150, 151, 36, 55, 55, 78, 55, 78, 78, 90, 42, 66, 66, 99,
96, 109, 109, 129, 42, 66, 96, 109, 66, 99, 109, 129, 62, 72, 100,
112, 100, 112, 116, 133, 42, 96, 66, 109, 66, 109, 99, 129, 62, 100,
72, 112, 100, 116, 112, 133, 62, 100, 100, 116, 72, 112, 112, 133,
94, 102, 102, 118, 102, 118, 118, 135, 41, 59, 59, 79, 69, 83, 83,
91, 46, 71, 71, 101, 122, 124, 124, 130, 66, 81, 109, 115, 106, 112,
131, 133, 72, 87, 112, 117, 128, 132, 145, 146, 66, 109, 81, 115,
106, 131, 112, 133, 72, 112, 87, 117, 128, 145, 132, 146, 100, 116,
116, 138, 128, 145, 145, 149, 102, 118, 118, 139, 141, 147, 147, 150,
41, 59, 69, 83, 59, 79, 83, 91, 66, 81, 106, 112, 109, 115, 131, 133,
46, 71, 122, 124, 71, 101, 124, 130, 72, 87, 128, 132, 112, 117, 145,
146, 66, 109, 106, 131, 81, 115, 112, 133, 100, 116, 128, 145, 116,
138, 145, 149, 72, 112, 128, 145, 87, 117, 132, 146, 102, 118, 141,
147, 118, 139, 147, 150, 49, 61, 71, 84, 71, 84, 87, 92, 71, 84, 107,
113, 124, 125, 132, 134, 71, 84, 124, 125, 107, 113, 132, 134, 87,
92, 132, 134, 132, 134, 147, 148, 99, 129, 112, 133, 112, 133, 118,
135, 112, 133, 132, 146, 145, 149, 147, 150, 112, 133, 145, 149, 132,
146, 147, 150, 118, 135, 147, 150, 147, 150, 152, 153, 41, 69, 59,
83, 59, 83, 79, 91, 66, 106, 81, 112, 109, 131, 115, 133, 66, 106,
109, 131, 81, 112, 115, 133, 100, 128, 116, 145, 116, 145, 138, 149,
46, 122, 71, 124, 71, 124, 101, 130, 72, 128, 87, 132, 112, 145, 117,
146, 72, 128, 112, 145, 87, 132, 117, 146, 102, 141, 118, 147, 118,
147, 139, 150, 49, 71, 61, 84, 71, 87, 84, 92, 71, 107, 84, 113, 124,
132, 125, 134, 99, 112, 129, 133, 112, 118, 133, 135, 112, 132, 133,
146, 145, 147, 149, 150, 71, 124, 84, 125, 107, 132, 113, 134, 87,
132, 92, 134, 132, 147, 134, 148, 112, 145, 133, 149, 132, 147, 146,
150, 118, 147, 135, 150, 147, 152, 150, 153, 49, 71, 71, 87, 61, 84,
84, 92, 99, 112, 112, 118, 129, 133, 133, 135, 71, 107, 124, 132, 84,
113, 125, 134, 112, 132, 145, 147, 133, 146, 149, 150, 71, 124, 107,
132, 84, 125, 113, 134, 112, 145, 132, 147, 133, 149, 146, 150, 87,
132, 132, 147, 92, 134, 134, 148, 118, 147, 147, 152, 135, 150, 150,
153, 63, 73, 73, 88, 73, 88, 88, 93, 101, 113, 113, 119, 130, 134,
134, 136, 101, 113, 130, 134, 113, 119, 134, 136, 117, 134, 146, 148,
146, 148, 150, 151, 101, 130, 113, 134, 113, 134, 119, 136, 117, 146,
134, 148, 146, 150, 148, 151, 117, 146, 146, 150, 134, 148, 148, 151,
139, 150, 150, 153, 150, 153, 153, 154, 2, 12, 12, 38, 12, 38, 38,
44, 6, 15, 15, 40, 51, 56, 56, 68, 6, 15, 51, 56, 15, 40, 56, 68, 13,
20, 52, 58, 52, 58, 75, 82, 6, 51, 15, 56, 15, 56, 40, 68, 13, 52,
20, 58, 52, 75, 58, 82, 13, 52, 52, 75, 20, 58, 58, 82, 36, 55, 55,
78, 55, 78, 78, 90, 6, 15, 15, 40, 51, 56, 56, 68, 8, 17, 17, 42, 74,
75, 75, 96, 15, 26, 56, 65, 56, 65, 104, 105, 17, 27, 57, 66, 75, 80,
108, 109, 15, 56, 26, 65, 56, 104, 65, 105, 17, 57, 27, 66, 75, 108,
80, 109, 40, 65, 65, 98, 68, 105, 105, 127, 42, 66, 66, 99, 96, 109,
109, 129, 6, 15, 51, 56, 15, 40, 56, 68, 15, 26, 56, 65, 56, 65, 104,
105, 8, 17, 74, 75, 17, 42, 75, 96, 17, 27, 75, 80, 57, 66, 108, 109,
15, 56, 56, 104, 26, 65, 65, 105, 40, 65, 68, 105, 65, 98, 105, 127,
17, 57, 75, 108, 27, 66, 80, 109, 42, 66, 96, 109, 66, 99, 109, 129,
13, 20, 52, 58, 52, 58, 75, 82, 17, 27, 57, 66, 75, 80, 108, 109, 17,
27, 75, 80, 57, 66, 108, 109, 23, 29, 76, 81, 76, 81, 114, 115, 40,
68, 65, 105, 65, 105, 98, 127, 48, 70, 70, 106, 98, 111, 111, 131,
48, 70, 98, 111, 70, 106, 111, 131, 62, 72, 100, 112, 100, 112, 116,
133, 6, 51, 15, 56, 15, 56, 40, 68, 15, 56, 26, 65, 56, 104, 65, 105,
15, 56, 56, 104, 26, 65, 65, 105, 40, 68, 65, 105, 65, 105, 98, 127,
8, 74, 17, 75, 17, 75, 42, 96, 17, 75, 27, 80, 57, 108, 66, 109, 17,
75, 57, 108, 27, 80, 66, 109, 42, 96, 66, 109, 66, 109, 99, 129, 13,
52, 20, 58, 52, 75, 58, 82, 17, 57, 27, 66, 75, 108, 80, 109, 40, 65,
68, 105, 65, 98, 105, 127, 48, 70, 70, 106, 98, 111, 111, 131, 17,
75, 27, 80, 57, 108, 66, 109, 23, 76, 29, 81, 76, 114, 81, 115, 48,
98, 70, 111, 70, 111, 106, 131, 62, 100, 72, 112, 100, 116, 112, 133,
13, 52, 52, 75, 20, 58, 58, 82, 40, 65, 65, 98, 68, 105, 105, 127,
17, 57, 75, 108, 27, 66, 80, 109, 48, 70, 98, 111, 70, 106, 111, 131,
17, 75, 57, 108, 27, 80, 66, 109, 48, 98, 70, 111, 70, 111, 106, 131,
23, 76, 76, 114, 29, 81, 81, 115, 62, 100, 100, 116, 72, 112, 112,
133, 36, 55, 55, 78, 55, 78, 78, 90, 42, 66, 66, 99, 96, 109, 109,
129, 42, 66, 96, 109, 66, 99, 109, 129, 62, 72, 100, 112, 100, 112,
116, 133, 42, 96, 66, 109, 66, 109, 99, 129, 62, 100, 72, 112, 100,
116, 112, 133, 62, 100, 100, 116, 72, 112, 112, 133, 94, 102, 102,
118, 102, 118, 118, 135, 3, 19, 19, 44, 19, 44, 44, 120, 7, 20, 20,
45, 54, 68, 68, 121, 7, 20, 54, 68, 20, 45, 68, 121, 14, 25, 55, 69,
55, 69, 96, 122, 7, 54, 20, 68, 20, 68, 45, 121, 14, 55, 25, 69, 55,
96, 69, 122, 14, 55, 55, 96, 25, 69, 69, 122, 37, 64, 64, 97, 64, 97,
97, 126, 7, 20, 20, 45, 54, 68, 68, 121, 9, 21, 21, 46, 77, 82, 82,
122, 16, 27, 58, 70, 58, 70, 105, 123, 18, 28, 59, 71, 78, 83, 109,
124, 16, 58, 27, 70, 58, 105, 70, 123, 18, 59, 28, 71, 78, 109, 83,
124, 41, 66, 66, 100, 69, 106, 106, 128, 43, 67, 67, 101, 97, 110,
110, 130, 7, 20, 54, 68, 20, 45, 68, 121, 16, 27, 58, 70, 58, 70,
105, 123, 9, 21, 77, 82, 21, 46, 82, 122, 18, 28, 78, 83, 59, 71,
109, 124, 16, 58, 58, 105, 27, 70, 70, 123, 41, 66, 69, 106, 66, 100,
106, 128, 18, 59, 78, 109, 28, 71, 83, 124, 43, 67, 97, 110, 67, 101,
110, 130, 14, 25, 55, 69, 55, 69, 96, 122, 18, 28, 59, 71, 78, 83,
109, 124, 18, 28, 78, 83, 59, 71, 109, 124, 24, 30, 79, 84, 79, 84,
115, 125, 41, 69, 66, 106, 66, 106, 100, 128, 49, 71, 71, 107, 99,
112, 112, 132, 49, 71, 99, 112, 71, 107, 112, 132, 63, 73, 101, 113,
101, 113, 117, 134, 7, 54, 20, 68, 20, 68, 45, 121, 16, 58, 27, 70,
58, 105, 70, 123, 16, 58, 58, 105, 27, 70, 70, 123, 41, 69, 66, 106,
66, 106, 100, 128, 9, 77, 21, 82, 21, 82, 46, 122, 18, 78, 28, 83,
59, 109, 71, 124, 18, 78, 59, 109, 28, 83, 71, 124, 43, 97, 67, 110,
67, 110, 101, 130, 14, 55, 25, 69, 55, 96, 69, 122, 18, 59, 28, 71,
78, 109, 83, 124, 41, 66, 69, 106, 66, 100, 106, 128, 49, 71, 71,
107, 99, 112, 112, 132, 18, 78, 28, 83, 59, 109, 71, 124, 24, 79, 30,
84, 79, 115, 84, 125, 49, 99, 71, 112, 71, 112, 107, 132, 63, 101,
73, 113, 101, 117, 113, 134, 14, 55, 55, 96, 25, 69, 69, 122, 41, 66,
66, 100, 69, 106, 106, 128, 18, 59, 78, 109, 28, 71, 83, 124, 49, 71,
99, 112, 71, 107, 112, 132, 18, 78, 59, 109, 28, 83, 71, 124, 49, 99,
71, 112, 71, 112, 107, 132, 24, 79, 79, 115, 30, 84, 84, 125, 63,
101, 101, 117, 73, 113, 113, 134, 37, 64, 64, 97, 64, 97, 97, 126,
43, 67, 67, 101, 97, 110, 110, 130, 43, 67, 97, 110, 67, 101, 110,
130, 63, 73, 101, 113, 101, 113, 117, 134, 43, 97, 67, 110, 67, 110,
101, 130, 63, 101, 73, 113, 101, 117, 113, 134, 63, 101, 101, 117,
73, 113, 113, 134, 95, 103, 103, 119, 103, 119, 119, 136, 4, 13, 13,
39, 35, 40, 40, 45, 7, 16, 16, 41, 54, 58, 58, 69, 13, 17, 52, 57,
40, 48, 65, 70, 16, 21, 53, 59, 58, 60, 80, 83, 13, 52, 17, 57, 40,
65, 48, 70, 16, 53, 21, 59, 58, 80, 60, 83, 39, 57, 57, 76, 45, 70,
70, 86, 41, 59, 59, 79, 69, 83, 83, 91, 7, 16, 16, 41, 54, 58, 58,
69, 9, 18, 18, 43, 77, 78, 78, 97, 20, 27, 58, 66, 68, 70, 105, 106,
21, 28, 59, 67, 82, 83, 109, 110, 20, 58, 27, 66, 68, 105, 70, 106,
21, 59, 28, 67, 82, 109, 83, 110, 45, 70, 70, 100, 121, 123, 123,
128, 46, 71, 71, 101, 122, 124, 124, 130, 13, 17, 52, 57, 40, 48, 65,
70, 20, 27, 58, 66, 68, 70, 105, 106, 17, 23, 75, 76, 48, 62, 98,
100, 27, 29, 80, 81, 70, 72, 111, 112, 52, 75, 75, 108, 65, 98, 98,
111, 58, 80, 82, 109, 105, 111, 127, 131, 57, 76, 108, 114, 70, 100,
111, 116, 66, 81, 109, 115, 106, 112, 131, 133, 16, 21, 53, 59, 58,
60, 80, 83, 21, 28, 59, 67, 82, 83, 109, 110, 27, 29, 80, 81, 70, 72,
111, 112, 29, 31, 81, 85, 86, 87, 116, 117, 58, 82, 80, 109, 105,
127, 111, 131, 60, 83, 83, 110, 127, 131, 131, 143, 70, 86, 111, 116,
123, 128, 144, 145, 72, 87, 112, 117, 128, 132, 145, 146, 13, 52, 17,
57, 40, 65, 48, 70, 20, 58, 27, 66, 68, 105, 70, 106, 52, 75, 75,
108, 65, 98, 98, 111, 58, 82, 80, 109, 105, 127, 111, 131, 17, 75,
23, 76, 48, 98, 62, 100, 27, 80, 29, 81, 70, 111, 72, 112, 57, 108,
76, 114, 70, 111, 100, 116, 66, 109, 81, 115, 106, 131, 112, 133, 16,
53, 21, 59, 58, 80, 60, 83, 21, 59, 28, 67, 82, 109, 83, 110, 58, 80,
82, 109, 105, 111, 127, 131, 60, 83, 83, 110, 127, 131, 131, 143, 27,
80, 29, 81, 70, 111, 72, 112, 29, 81, 31, 85, 86, 116, 87, 117, 70,
111, 86, 116, 123, 144, 128, 145, 72, 112, 87, 117, 128, 145, 132,
146, 39, 57, 57, 76, 45, 70, 70, 86, 45, 70, 70, 100, 121, 123, 123,
128, 57, 76, 108, 114, 70, 100, 111, 116, 70, 86, 111, 116, 123, 128,
144, 145, 57, 108, 76, 114, 70, 111, 100, 116, 70, 111, 86, 116, 123,
144, 128, 145, 76, 114, 114, 137, 86, 116, 116, 138, 100, 116, 116,
138, 128, 145, 145, 149, 41, 59, 59, 79, 69, 83, 83, 91, 46, 71, 71,
101, 122, 124, 124, 130, 66, 81, 109, 115, 106, 112, 131, 133, 72,
87, 112, 117, 128, 132, 145, 146, 66, 109, 81, 115, 106, 131, 112,
133, 72, 112, 87, 117, 128, 145, 132, 146, 100, 116, 116, 138, 128,
145, 145, 149, 102, 118, 118, 139, 141, 147, 147, 150, 7, 20, 20, 45,
54, 68, 68, 121, 9, 21, 21, 46, 77, 82, 82, 122, 16, 27, 58, 70, 58,
70, 105, 123, 18, 28, 59, 71, 78, 83, 109, 124, 16, 58, 27, 70, 58,
105, 70, 123, 18, 59, 28, 71, 78, 109, 83, 124, 41, 66, 66, 100, 69,
106, 106, 128, 43, 67, 67, 101, 97, 110, 110, 130, 9, 21, 21, 46, 77,
82, 82, 122, 10, 22, 22, 47, 89, 90, 90, 126, 21, 29, 60, 72, 82, 86,
127, 128, 22, 30, 61, 73, 90, 91, 129, 130, 21, 60, 29, 72, 82, 127,
86, 128, 22, 61, 30, 73, 90, 129, 91, 130, 46, 72, 72, 102, 122, 128,
128, 141, 47, 73, 73, 103, 126, 130, 130, 142, 16, 27, 58, 70, 58,
70, 105, 123, 21, 29, 60, 72, 82, 86, 127, 128, 21, 29, 82, 86, 60,
72, 127, 128, 28, 31, 83, 87, 83, 87, 131, 132, 53, 80, 80, 111, 80,
111, 111, 144, 59, 81, 83, 112, 109, 116, 131, 145, 59, 81, 109, 116,
83, 112, 131, 145, 67, 85, 110, 117, 110, 117, 143, 146, 18, 28, 59,
71, 78, 83, 109, 124, 22, 30, 61, 73, 90, 91, 129, 130, 28, 31, 83,
87, 83, 87, 131, 132, 30, 32, 84, 88, 91, 92, 133, 134, 59, 83, 81,
112, 109, 131, 116, 145, 61, 84, 84, 113, 129, 133, 133, 146, 71, 87,
112, 118, 124, 132, 145, 147, 73, 88, 113, 119, 130, 134, 146, 148,
16, 58, 27, 70, 58, 105, 70, 123, 21, 60, 29, 72, 82, 127, 86, 128,
53, 80, 80, 111, 80, 111, 111, 144, 59, 83, 81, 112, 109, 131, 116,
145, 21, 82, 29, 86, 60, 127, 72, 128, 28, 83, 31, 87, 83, 131, 87,
132, 59, 109, 81, 116, 83, 131, 112, 145, 67, 110, 85, 117, 110, 143,
117, 146, 18, 59, 28, 71, 78, 109, 83, 124, 22, 61, 30, 73, 90, 129,
91, 130, 59, 81, 83, 112, 109, 116, 131, 145, 61, 84, 84, 113, 129,
133, 133, 146, 28, 83, 31, 87, 83, 131, 87, 132, 30, 84, 32, 88, 91,
133, 92, 134, 71, 112, 87, 118, 124, 145, 132, 147, 73, 113, 88, 119,
130, 146, 134, 148, 41, 66, 66, 100, 69, 106, 106, 128, 46, 72, 72,
102, 122, 128, 128, 141, 59, 81, 109, 116, 83, 112, 131, 145, 71, 87,
112, 118, 124, 132, 145, 147, 59, 109, 81, 116, 83, 131, 112, 145,
71, 112, 87, 118, 124, 145, 132, 147, 79, 115, 115, 138, 91, 133,
133, 149, 101, 117, 117, 139, 130, 146, 146, 150, 43, 67, 67, 101,
97, 110, 110, 130, 47, 73, 73, 103, 126, 130, 130, 142, 67, 85, 110,
117, 110, 117, 143, 146, 73, 88, 113, 119, 130, 134, 146, 148, 67,
110, 85, 117, 110, 143, 117, 146, 73, 113, 88, 119, 130, 146, 134,
148, 101, 117, 117, 139, 130, 146, 146, 150, 103, 119, 119, 140, 142,
148, 148, 151, 4, 13, 35, 40, 13, 39, 40, 45, 13, 17, 40, 48, 52, 57,
65, 70, 7, 16, 54, 58, 16, 41, 58, 69, 16, 21, 58, 60, 53, 59, 80,
83, 13, 52, 40, 65, 17, 57, 48, 70, 39, 57, 45, 70, 57, 76, 70, 86,
16, 53, 58, 80, 21, 59, 60, 83, 41, 59, 69, 83, 59, 79, 83, 91, 13,
17, 40, 48, 52, 57, 65, 70, 17, 23, 48, 62, 75, 76, 98, 100, 20, 27,
68, 70, 58, 66, 105, 106, 27, 29, 70, 72, 80, 81, 111, 112, 52, 75,
65, 98, 75, 108, 98, 111, 57, 76, 70, 100, 108, 114, 111, 116, 58,
80, 105, 111, 82, 109, 127, 131, 66, 81, 106, 112, 109, 115, 131,
133, 7, 16, 54, 58, 16, 41, 58, 69, 20, 27, 68, 70, 58, 66, 105, 106,
9, 18, 77, 78, 18, 43, 78, 97, 21, 28, 82, 83, 59, 67, 109, 110, 20,
58, 68, 105, 27, 66, 70, 106, 45, 70, 121, 123, 70, 100, 123, 128,
21, 59, 82, 109, 28, 67, 83, 110, 46, 71, 122, 124, 71, 101, 124,
130, 16, 21, 58, 60, 53, 59, 80, 83, 27, 29, 70, 72, 80, 81, 111,
112, 21, 28, 82, 83, 59, 67, 109, 110, 29, 31, 86, 87, 81, 85, 116,
117, 58, 82, 105, 127, 80, 109, 111, 131, 70, 86, 123, 128, 111, 116,
144, 145, 60, 83, 127, 131, 83, 110, 131, 143, 72, 87, 128, 132, 112,
117, 145, 146, 13, 52, 40, 65, 17, 57, 48, 70, 52, 75, 65, 98, 75,
108, 98, 111, 20, 58, 68, 105, 27, 66, 70, 106, 58, 82, 105, 127, 80,
109, 111, 131, 17, 75, 48, 98, 23, 76, 62, 100, 57, 108, 70, 111, 76,
114, 100, 116, 27, 80, 70, 111, 29, 81, 72, 112, 66, 109, 106, 131,
81, 115, 112, 133, 39, 57, 45, 70, 57, 76, 70, 86, 57, 76, 70, 100,
108, 114, 111, 116, 45, 70, 121, 123, 70, 100, 123, 128, 70, 86, 123,
128, 111, 116, 144, 145, 57, 108, 70, 111, 76, 114, 100, 116, 76,
114, 86, 116, 114, 137, 116, 138, 70, 111, 123, 144, 86, 116, 128,
145, 100, 116, 128, 145, 116, 138, 145, 149, 16, 53, 58, 80, 21, 59,
60, 83, 58, 80, 105, 111, 82, 109, 127, 131, 21, 59, 82, 109, 28, 67,
83, 110, 60, 83, 127, 131, 83, 110, 131, 143, 27, 80, 70, 111, 29,
81, 72, 112, 70, 111, 123, 144, 86, 116, 128, 145, 29, 81, 86, 116,
31, 85, 87, 117, 72, 112, 128, 145, 87, 117, 132, 146, 41, 59, 69,
83, 59, 79, 83, 91, 66, 81, 106, 112, 109, 115, 131, 133, 46, 71,
122, 124, 71, 101, 124, 130, 72, 87, 128, 132, 112, 117, 145, 146,
66, 109, 106, 131, 81, 115, 112, 133, 100, 116, 128, 145, 116, 138,
145, 149, 72, 112, 128, 145, 87, 117, 132, 146, 102, 118, 141, 147,
118, 139, 147, 150, 7, 20, 54, 68, 20, 45, 68, 121, 16, 27, 58, 70,
58, 70, 105, 123, 9, 21, 77, 82, 21, 46, 82, 122, 18, 28, 78, 83, 59,
71, 109, 124, 16, 58, 58, 105, 27, 70, 70, 123, 41, 66, 69, 106, 66,
100, 106, 128, 18, 59, 78, 109, 28, 71, 83, 124, 43, 67, 97, 110, 67,
101, 110, 130, 16, 27, 58, 70, 58, 70, 105, 123, 21, 29, 60, 72, 82,
86, 127, 128, 21, 29, 82, 86, 60, 72, 127, 128, 28, 31, 83, 87, 83,
87, 131, 132, 53, 80, 80, 111, 80, 111, 111, 144, 59, 81, 83, 112,
109, 116, 131, 145, 59, 81, 109, 116, 83, 112, 131, 145, 67, 85, 110,
117, 110, 117, 143, 146, 9, 21, 77, 82, 21, 46, 82, 122, 21, 29, 82,
86, 60, 72, 127, 128, 10, 22, 89, 90, 22, 47, 90, 126, 22, 30, 90,
91, 61, 73, 129, 130, 21, 60, 82, 127, 29, 72, 86, 128, 46, 72, 122,
128, 72, 102, 128, 141, 22, 61, 90, 129, 30, 73, 91, 130, 47, 73,
126, 130, 73, 103, 130, 142, 18, 28, 78, 83, 59, 71, 109, 124, 28,
31, 83, 87, 83, 87, 131, 132, 22, 30, 90, 91, 61, 73, 129, 130, 30,
32, 91, 92, 84, 88, 133, 134, 59, 83, 109, 131, 81, 112, 116, 145,
71, 87, 124, 132, 112, 118, 145, 147, 61, 84, 129, 133, 84, 113, 133,
146, 73, 88, 130, 134, 113, 119, 146, 148, 16, 58, 58, 105, 27, 70,
70, 123, 53, 80, 80, 111, 80, 111, 111, 144, 21, 60, 82, 127, 29, 72,
86, 128, 59, 83, 109, 131, 81, 112, 116, 145, 21, 82, 60, 127, 29,
86, 72, 128, 59, 109, 83, 131, 81, 116, 112, 145, 28, 83, 83, 131,
31, 87, 87, 132, 67, 110, 110, 143, 85, 117, 117, 146, 41, 66, 69,
106, 66, 100, 106, 128, 59, 81, 83, 112, 109, 116, 131, 145, 46, 72,
122, 128, 72, 102, 128, 141, 71, 87, 124, 132, 112, 118, 145, 147,
59, 109, 83, 131, 81, 116, 112, 145, 79, 115, 91, 133, 115, 138, 133,
149, 71, 112, 124, 145, 87, 118, 132, 147, 101, 117, 130, 146, 117,
139, 146, 150, 18, 59, 78, 109, 28, 71, 83, 124, 59, 81, 109, 116,
83, 112, 131, 145, 22, 61, 90, 129, 30, 73, 91, 130, 61, 84, 129,
133, 84, 113, 133, 146, 28, 83, 83, 131, 31, 87, 87, 132, 71, 112,
124, 145, 87, 118, 132, 147, 30, 84, 91, 133, 32, 88, 92, 134, 73,
113, 130, 146, 88, 119, 134, 148, 43, 67, 97, 110, 67, 101, 110, 130,
67, 85, 110, 117, 110, 117, 143, 146, 47, 73, 126, 130, 73, 103, 130,
142, 73, 88, 130, 134, 113, 119, 146, 148, 67, 110, 110, 143, 85,
117, 117, 146, 101, 117, 130, 146, 117, 139, 146, 150, 73, 113, 130,
146, 88, 119, 134, 148, 103, 119, 142, 148, 119, 140, 148, 151, 11,
14, 36, 41, 36, 41, 42, 46, 14, 18, 41, 49, 55, 59, 66, 71, 14, 18,
55, 59, 41, 49, 66, 71, 18, 22, 59, 61, 59, 61, 81, 84, 36, 55, 42,
66, 42, 66, 62, 72, 41, 59, 46, 71, 66, 81, 72, 87, 41, 59, 66, 81,
46, 71, 72, 87, 49, 61, 71, 84, 71, 84, 87, 92, 14, 18, 41, 49, 55,
59, 66, 71, 18, 24, 49, 63, 78, 79, 99, 101, 25, 28, 69, 71, 69, 71,
106, 107, 28, 30, 71, 73, 83, 84, 112, 113, 55, 78, 66, 99, 96, 109,
100, 112, 59, 79, 71, 101, 109, 115, 112, 117, 69, 83, 106, 112, 122,
124, 128, 132, 71, 84, 107, 113, 124, 125, 132, 134, 14, 18, 55, 59,
41, 49, 66, 71, 25, 28, 69, 71, 69, 71, 106, 107, 18, 24, 78, 79, 49,
63, 99, 101, 28, 30, 83, 84, 71, 73, 112, 113, 55, 78, 96, 109, 66,
99, 100, 112, 69, 83, 122, 124, 106, 112, 128, 132, 59, 79, 109, 115,
71, 101, 112, 117, 71, 84, 124, 125, 107, 113, 132, 134, 18, 22, 59,
61, 59, 61, 81, 84, 28, 30, 71, 73, 83, 84, 112, 113, 28, 30, 83, 84,
71, 73, 112, 113, 31, 32, 87, 88, 87, 88, 118, 119, 78, 90, 109, 129,
109, 129, 116, 133, 83, 91, 124, 130, 131, 133, 145, 146, 83, 91,
131, 133, 124, 130, 145, 146, 87, 92, 132, 134, 132, 134, 147, 148,
36, 55, 42, 66, 42, 66, 62, 72, 55, 78, 66, 99, 96, 109, 100, 112,
55, 78, 96, 109, 66, 99, 100, 112, 78, 90, 109, 129, 109, 129, 116,
133, 42, 96, 62, 100, 62, 100, 94, 102, 66, 109, 72, 112, 100, 116,
102, 118, 66, 109, 100, 116, 72, 112, 102, 118, 99, 129, 112, 133,
112, 133, 118, 135, 41, 59, 46, 71, 66, 81, 72, 87, 59, 79, 71, 101,
109, 115, 112, 117, 69, 83, 122, 124, 106, 112, 128, 132, 83, 91,
124, 130, 131, 133, 145, 146, 66, 109, 72, 112, 100, 116, 102, 118,
81, 115, 87, 117, 116, 138, 118, 139, 106, 131, 128, 145, 128, 145,
141, 147, 112, 133, 132, 146, 145, 149, 147, 150, 41, 59, 66, 81, 46,
71, 72, 87, 69, 83, 106, 112, 122, 124, 128, 132, 59, 79, 109, 115,
71, 101, 112, 117, 83, 91, 131, 133, 124, 130, 145, 146, 66, 109,
100, 116, 72, 112, 102, 118, 106, 131, 128, 145, 128, 145, 141, 147,
81, 115, 116, 138, 87, 117, 118, 139, 112, 133, 145, 149, 132, 146,
147, 150, 49, 61, 71, 84, 71, 84, 87, 92, 71, 84, 107, 113, 124, 125,
132, 134, 71, 84, 124, 125, 107, 113, 132, 134, 87, 92, 132, 134,
132, 134, 147, 148, 99, 129, 112, 133, 112, 133, 118, 135, 112, 133,
132, 146, 145, 149, 147, 150, 112, 133, 145, 149, 132, 146, 147, 150,
118, 135, 147, 150, 147, 150, 152, 153, 14, 25, 55, 69, 55, 69, 96,
122, 18, 28, 59, 71, 78, 83, 109, 124, 18, 28, 78, 83, 59, 71, 109,
124, 24, 30, 79, 84, 79, 84, 115, 125, 41, 69, 66, 106, 66, 106, 100,
128, 49, 71, 71, 107, 99, 112, 112, 132, 49, 71, 99, 112, 71, 107,
112, 132, 63, 73, 101, 113, 101, 113, 117, 134, 18, 28, 59, 71, 78,
83, 109, 124, 22, 30, 61, 73, 90, 91, 129, 130, 28, 31, 83, 87, 83,
87, 131, 132, 30, 32, 84, 88, 91, 92, 133, 134, 59, 83, 81, 112, 109,
131, 116, 145, 61, 84, 84, 113, 129, 133, 133, 146, 71, 87, 112, 118,
124, 132, 145, 147, 73, 88, 113, 119, 130, 134, 146, 148, 18, 28, 78,
83, 59, 71, 109, 124, 28, 31, 83, 87, 83, 87, 131, 132, 22, 30, 90,
91, 61, 73, 129, 130, 30, 32, 91, 92, 84, 88, 133, 134, 59, 83, 109,
131, 81, 112, 116, 145, 71, 87, 124, 132, 112, 118, 145, 147, 61, 84,
129, 133, 84, 113, 133, 146, 73, 88, 130, 134, 113, 119, 146, 148,
24, 30, 79, 84, 79, 84, 115, 125, 30, 32, 84, 88, 91, 92, 133, 134,
30, 32, 91, 92, 84, 88, 133, 134, 32, 33, 92, 93, 92, 93, 135, 136,
79, 91, 115, 133, 115, 133, 138, 149, 84, 92, 125, 134, 133, 135,
149, 150, 84, 92, 133, 135, 125, 134, 149, 150, 88, 93, 134, 136,
134, 136, 150, 151, 41, 69, 66, 106, 66, 106, 100, 128, 59, 83, 81,
112, 109, 131, 116, 145, 59, 83, 109, 131, 81, 112, 116, 145, 79, 91,
115, 133, 115, 133, 138, 149, 46, 122, 72, 128, 72, 128, 102, 141,
71, 124, 87, 132, 112, 145, 118, 147, 71, 124, 112, 145, 87, 132,
118, 147, 101, 130, 117, 146, 117, 146, 139, 150, 49, 71, 71, 107,
99, 112, 112, 132, 61, 84, 84, 113, 129, 133, 133, 146, 71, 87, 124,
132, 112, 118, 145, 147, 84, 92, 125, 134, 133, 135, 149, 150, 71,
124, 87, 132, 112, 145, 118, 147, 84, 125, 92, 134, 133, 149, 135,
150, 107, 132, 132, 147, 132, 147, 147, 152, 113, 134, 134, 148, 146,
150, 150, 153, 49, 71, 99, 112, 71, 107, 112, 132, 71, 87, 112, 118,
124, 132, 145, 147, 61, 84, 129, 133, 84, 113, 133, 146, 84, 92, 133,
135, 125, 134, 149, 150, 71, 124, 112, 145, 87, 132, 118, 147, 107,
132, 132, 147, 132, 147, 147, 152, 84, 125, 133, 149, 92, 134, 135,
150, 113, 134, 146, 150, 134, 148, 150, 153, 63, 73, 101, 113, 101,
113, 117, 134, 73, 88, 113, 119, 130, 134, 146, 148, 73, 88, 130,
134, 113, 119, 146, 148, 88, 93, 134, 136, 134, 136, 150, 151, 101,
130, 117, 146, 117, 146, 139, 150, 113, 134, 134, 148, 146, 150, 150,
153, 113, 134, 146, 150, 134, 148, 150, 153, 119, 136, 148, 151, 148,
151, 153, 154, 4, 35, 13, 40, 13, 40, 39, 45, 13, 40, 17, 48, 52, 65,
57, 70, 13, 40, 52, 65, 17, 48, 57, 70, 39, 45, 57, 70, 57, 70, 76,
86, 7, 54, 16, 58, 16, 58, 41, 69, 16, 58, 21, 60, 53, 80, 59, 83,
16, 58, 53, 80, 21, 60, 59, 83, 41, 69, 59, 83, 59, 83, 79, 91, 13,
40, 17, 48, 52, 65, 57, 70, 17, 48, 23, 62, 75, 98, 76, 100, 52, 65,
75, 98, 75, 98, 108, 111, 57, 70, 76, 100, 108, 111, 114, 116, 20,
68, 27, 70, 58, 105, 66, 106, 27, 70, 29, 72, 80, 111, 81, 112, 58,
105, 80, 111, 82, 127, 109, 131, 66, 106, 81, 112, 109, 131, 115,
133, 13, 40, 52, 65, 17, 48, 57, 70, 52, 65, 75, 98, 75, 98, 108,
111, 17, 48, 75, 98, 23, 62, 76, 100, 57, 70, 108, 111, 76, 100, 114,
116, 20, 68, 58, 105, 27, 70, 66, 106, 58, 105, 82, 127, 80, 111,
109, 131, 27, 70, 80, 111, 29, 72, 81, 112, 66, 106, 109, 131, 81,
112, 115, 133, 39, 45, 57, 70, 57, 70, 76, 86, 57, 70, 76, 100, 108,
111, 114, 116, 57, 70, 108, 111, 76, 100, 114, 116, 76, 86, 114, 116,
114, 116, 137, 138, 45, 121, 70, 123, 70, 123, 100, 128, 70, 123, 86,
128, 111, 144, 116, 145, 70, 123, 111, 144, 86, 128, 116, 145, 100,
128, 116, 145, 116, 145, 138, 149, 7, 54, 16, 58, 16, 58, 41, 69, 20,
68, 27, 70, 58, 105, 66, 106, 20, 68, 58, 105, 27, 70, 66, 106, 45,
121, 70, 123, 70, 123, 100, 128, 9, 77, 18, 78, 18, 78, 43, 97, 21,
82, 28, 83, 59, 109, 67, 110, 21, 82, 59, 109, 28, 83, 67, 110, 46,
122, 71, 124, 71, 124, 101, 130, 16, 58, 21, 60, 53, 80, 59, 83, 27,
70, 29, 72, 80, 111, 81, 112, 58, 105, 82, 127, 80, 111, 109, 131,
70, 123, 86, 128, 111, 144, 116, 145, 21, 82, 28, 83, 59, 109, 67,
110, 29, 86, 31, 87, 81, 116, 85, 117, 60, 127, 83, 131, 83, 131,
110, 143, 72, 128, 87, 132, 112, 145, 117, 146, 16, 58, 53, 80, 21,
60, 59, 83, 58, 105, 80, 111, 82, 127, 109, 131, 27, 70, 80, 111, 29,
72, 81, 112, 70, 123, 111, 144, 86, 128, 116, 145, 21, 82, 59, 109,
28, 83, 67, 110, 60, 127, 83, 131, 83, 131, 110, 143, 29, 86, 81,
116, 31, 87, 85, 117, 72, 128, 112, 145, 87, 132, 117, 146, 41, 69,
59, 83, 59, 83, 79, 91, 66, 106, 81, 112, 109, 131, 115, 133, 66,
106, 109, 131, 81, 112, 115, 133, 100, 128, 116, 145, 116, 145, 138,
149, 46, 122, 71, 124, 71, 124, 101, 130, 72, 128, 87, 132, 112, 145,
117, 146, 72, 128, 112, 145, 87, 132, 117, 146, 102, 141, 118, 147,
118, 147, 139, 150, 7, 54, 20, 68, 20, 68, 45, 121, 16, 58, 27, 70,
58, 105, 70, 123, 16, 58, 58, 105, 27, 70, 70, 123, 41, 69, 66, 106,
66, 106, 100, 128, 9, 77, 21, 82, 21, 82, 46, 122, 18, 78, 28, 83,
59, 109, 71, 124, 18, 78, 59, 109, 28, 83, 71, 124, 43, 97, 67, 110,
67, 110, 101, 130, 16, 58, 27, 70, 58, 105, 70, 123, 21, 60, 29, 72,
82, 127, 86, 128, 53, 80, 80, 111, 80, 111, 111, 144, 59, 83, 81,
112, 109, 131, 116, 145, 21, 82, 29, 86, 60, 127, 72, 128, 28, 83,
31, 87, 83, 131, 87, 132, 59, 109, 81, 116, 83, 131, 112, 145, 67,
110, 85, 117, 110, 143, 117, 146, 16, 58, 58, 105, 27, 70, 70, 123,
53, 80, 80, 111, 80, 111, 111, 144, 21, 60, 82, 127, 29, 72, 86, 128,
59, 83, 109, 131, 81, 112, 116, 145, 21, 82, 60, 127, 29, 86, 72,
128, 59, 109, 83, 131, 81, 116, 112, 145, 28, 83, 83, 131, 31, 87,
87, 132, 67, 110, 110, 143, 85, 117, 117, 146, 41, 69, 66, 106, 66,
106, 100, 128, 59, 83, 81, 112, 109, 131, 116, 145, 59, 83, 109, 131,
81, 112, 116, 145, 79, 91, 115, 133, 115, 133, 138, 149, 46, 122, 72,
128, 72, 128, 102, 141, 71, 124, 87, 132, 112, 145, 118, 147, 71,
124, 112, 145, 87, 132, 118, 147, 101, 130, 117, 146, 117, 146, 139,
150, 9, 77, 21, 82, 21, 82, 46, 122, 21, 82, 29, 86, 60, 127, 72,
128, 21, 82, 60, 127, 29, 86, 72, 128, 46, 122, 72, 128, 72, 128,
102, 141, 10, 89, 22, 90, 22, 90, 47, 126, 22, 90, 30, 91, 61, 129,
73, 130, 22, 90, 61, 129, 30, 91, 73, 130, 47, 126, 73, 130, 73, 130,
103, 142, 18, 78, 28, 83, 59, 109, 71, 124, 28, 83, 31, 87, 83, 131,
87, 132, 59, 109, 83, 131, 81, 116, 112, 145, 71, 124, 87, 132, 112,
145, 118, 147, 22, 90, 30, 91, 61, 129, 73, 130, 30, 91, 32, 92, 84,
133, 88, 134, 61, 129, 84, 133, 84, 133, 113, 146, 73, 130, 88, 134,
113, 146, 119, 148, 18, 78, 59, 109, 28, 83, 71, 124, 59, 109, 81,
116, 83, 131, 112, 145, 28, 83, 83, 131, 31, 87, 87, 132, 71, 124,
112, 145, 87, 132, 118, 147, 22, 90, 61, 129, 30, 91, 73, 130, 61,
129, 84, 133, 84, 133, 113, 146, 30, 91, 84, 133, 32, 92, 88, 134,
73, 130, 113, 146, 88, 134, 119, 148, 43, 97, 67, 110, 67, 110, 101,
130, 67, 110, 85, 117, 110, 143, 117, 146, 67, 110, 110, 143, 85,
117, 117, 146, 101, 130, 117, 146, 117, 146, 139, 150, 47, 126, 73,
130, 73, 130, 103, 142, 73, 130, 88, 134, 113, 146, 119, 148, 73,
130, 113, 146, 88, 134, 119, 148, 103, 142, 119, 148, 119, 148, 140,
151, 11, 36, 14, 41, 36, 42, 41, 46, 14, 41, 18, 49, 55, 66, 59, 71,
36, 42, 55, 66, 42, 62, 66, 72, 41, 46, 59, 71, 66, 72, 81, 87, 14,
55, 18, 59, 41, 66, 49, 71, 18, 59, 22, 61, 59, 81, 61, 84, 41, 66,
59, 81, 46, 72, 71, 87, 49, 71, 61, 84, 71, 87, 84, 92, 14, 41, 18,
49, 55, 66, 59, 71, 18, 49, 24, 63, 78, 99, 79, 101, 55, 66, 78, 99,
96, 100, 109, 112, 59, 71, 79, 101, 109, 112, 115, 117, 25, 69, 28,
71, 69, 106, 71, 107, 28, 71, 30, 73, 83, 112, 84, 113, 69, 106, 83,
112, 122, 128, 124, 132, 71, 107, 84, 113, 124, 132, 125, 134, 36,
42, 55, 66, 42, 62, 66, 72, 55, 66, 78, 99, 96, 100, 109, 112, 42,
62, 96, 100, 62, 94, 100, 102, 66, 72, 109, 112, 100, 102, 116, 118,
55, 96, 78, 109, 66, 100, 99, 112, 78, 109, 90, 129, 109, 116, 129,
133, 66, 100, 109, 116, 72, 102, 112, 118, 99, 112, 129, 133, 112,
118, 133, 135, 41, 46, 59, 71, 66, 72, 81, 87, 59, 71, 79, 101, 109,
112, 115, 117, 66, 72, 109, 112, 100, 102, 116, 118, 81, 87, 115,
117, 116, 118, 138, 139, 69, 122, 83, 124, 106, 128, 112, 132, 83,
124, 91, 130, 131, 145, 133, 146, 106, 128, 131, 145, 128, 141, 145,
147, 112, 132, 133, 146, 145, 147, 149, 150, 14, 55, 18, 59, 41, 66,
49, 71, 25, 69, 28, 71, 69, 106, 71, 107, 55, 96, 78, 109, 66, 100,
99, 112, 69, 122, 83, 124, 106, 128, 112, 132, 18, 78, 24, 79, 49,
99, 63, 101, 28, 83, 30, 84, 71, 112, 73, 113, 59, 109, 79, 115, 71,
112, 101, 117, 71, 124, 84, 125, 107, 132, 113, 134, 18, 59, 22, 61,
59, 81, 61, 84, 28, 71, 30, 73, 83, 112, 84, 113, 78, 109, 90, 129,
109, 116, 129, 133, 83, 124, 91, 130, 131, 145, 133, 146, 28, 83, 30,
84, 71, 112, 73, 113, 31, 87, 32, 88, 87, 118, 88, 119, 83, 131, 91,
133, 124, 145, 130, 146, 87, 132, 92, 134, 132, 147, 134, 148, 41,
66, 59, 81, 46, 72, 71, 87, 69, 106, 83, 112, 122, 128, 124, 132, 66,
100, 109, 116, 72, 102, 112, 118, 106, 128, 131, 145, 128, 141, 145,
147, 59, 109, 79, 115, 71, 112, 101, 117, 83, 131, 91, 133, 124, 145,
130, 146, 81, 116, 115, 138, 87, 118, 117, 139, 112, 145, 133, 149,
132, 147, 146, 150, 49, 71, 61, 84, 71, 87, 84, 92, 71, 107, 84, 113,
124, 132, 125, 134, 99, 112, 129, 133, 112, 118, 133, 135, 112, 132,
133, 146, 145, 147, 149, 150, 71, 124, 84, 125, 107, 132, 113, 134,
87, 132, 92, 134, 132, 147, 134, 148, 112, 145, 133, 149, 132, 147,
146, 150, 118, 147, 135, 150, 147, 152, 150, 153, 14, 55, 25, 69, 55,
96, 69, 122, 18, 59, 28, 71, 78, 109, 83, 124, 41, 66, 69, 106, 66,
100, 106, 128, 49, 71, 71, 107, 99, 112, 112, 132, 18, 78, 28, 83,
59, 109, 71, 124, 24, 79, 30, 84, 79, 115, 84, 125, 49, 99, 71, 112,
71, 112, 107, 132, 63, 101, 73, 113, 101, 117, 113, 134, 18, 59, 28,
71, 78, 109, 83, 124, 22, 61, 30, 73, 90, 129, 91, 130, 59, 81, 83,
112, 109, 116, 131, 145, 61, 84, 84, 113, 129, 133, 133, 146, 28, 83,
31, 87, 83, 131, 87, 132, 30, 84, 32, 88, 91, 133, 92, 134, 71, 112,
87, 118, 124, 145, 132, 147, 73, 113, 88, 119, 130, 146, 134, 148,
41, 66, 69, 106, 66, 100, 106, 128, 59, 81, 83, 112, 109, 116, 131,
145, 46, 72, 122, 128, 72, 102, 128, 141, 71, 87, 124, 132, 112, 118,
145, 147, 59, 109, 83, 131, 81, 116, 112, 145, 79, 115, 91, 133, 115,
138, 133, 149, 71, 112, 124, 145, 87, 118, 132, 147, 101, 117, 130,
146, 117, 139, 146, 150, 49, 71, 71, 107, 99, 112, 112, 132, 61, 84,
84, 113, 129, 133, 133, 146, 71, 87, 124, 132, 112, 118, 145, 147,
84, 92, 125, 134, 133, 135, 149, 150, 71, 124, 87, 132, 112, 145,
118, 147, 84, 125, 92, 134, 133, 149, 135, 150, 107, 132, 132, 147,
132, 147, 147, 152, 113, 134, 134, 148, 146, 150, 150, 153, 18, 78,
28, 83, 59, 109, 71, 124, 28, 83, 31, 87, 83, 131, 87, 132, 59, 109,
83, 131, 81, 116, 112, 145, 71, 124, 87, 132, 112, 145, 118, 147, 22,
90, 30, 91, 61, 129, 73, 130, 30, 91, 32, 92, 84, 133, 88, 134, 61,
129, 84, 133, 84, 133, 113, 146, 73, 130, 88, 134, 113, 146, 119,
148, 24, 79, 30, 84, 79, 115, 84, 125, 30, 84, 32, 88, 91, 133, 92,
134, 79, 115, 91, 133, 115, 138, 133, 149, 84, 125, 92, 134, 133,
149, 135, 150, 30, 91, 32, 92, 84, 133, 88, 134, 32, 92, 33, 93, 92,
135, 93, 136, 84, 133, 92, 135, 125, 149, 134, 150, 88, 134, 93, 136,
134, 150, 136, 151, 49, 99, 71, 112, 71, 112, 107, 132, 71, 112, 87,
118, 124, 145, 132, 147, 71, 112, 124, 145, 87, 118, 132, 147, 107,
132, 132, 147, 132, 147, 147, 152, 61, 129, 84, 133, 84, 133, 113,
146, 84, 133, 92, 135, 125, 149, 134, 150, 84, 133, 125, 149, 92,
135, 134, 150, 113, 146, 134, 150, 134, 150, 148, 153, 63, 101, 73,
113, 101, 117, 113, 134, 73, 113, 88, 119, 130, 146, 134, 148, 101,
117, 130, 146, 117, 139, 146, 150, 113, 134, 134, 148, 146, 150, 150,
153, 73, 130, 88, 134, 113, 146, 119, 148, 88, 134, 93, 136, 134,
150, 136, 151, 113, 146, 134, 150, 134, 150, 148, 153, 119, 148, 136,
151, 148, 153, 151, 154, 11, 36, 36, 42, 14, 41, 41, 46, 36, 42, 42,
62, 55, 66, 66, 72, 14, 41, 55, 66, 18, 49, 59, 71, 41, 46, 66, 72,
59, 71, 81, 87, 14, 55, 41, 66, 18, 59, 49, 71, 41, 66, 46, 72, 59,
81, 71, 87, 18, 59, 59, 81, 22, 61, 61, 84, 49, 71, 71, 87, 61, 84,
84, 92, 36, 42, 42, 62, 55, 66, 66, 72, 42, 62, 62, 94, 96, 100, 100,
102, 55, 66, 96, 100, 78, 99, 109, 112, 66, 72, 100, 102, 109, 112,
116, 118, 55, 96, 66, 100, 78, 109, 99, 112, 66, 100, 72, 102, 109,
116, 112, 118, 78, 109, 109, 116, 90, 129, 129, 133, 99, 112, 112,
118, 129, 133, 133, 135, 14, 41, 55, 66, 18, 49, 59, 71, 55, 66, 96,
100, 78, 99, 109, 112, 18, 49, 78, 99, 24, 63, 79, 101, 59, 71, 109,
112, 79, 101, 115, 117, 25, 69, 69, 106, 28, 71, 71, 107, 69, 106,
122, 128, 83, 112, 124, 132, 28, 71, 83, 112, 30, 73, 84, 113, 71,
107, 124, 132, 84, 113, 125, 134, 41, 46, 66, 72, 59, 71, 81, 87, 66,
72, 100, 102, 109, 112, 116, 118, 59, 71, 109, 112, 79, 101, 115,
117, 81, 87, 116, 118, 115, 117, 138, 139, 69, 122, 106, 128, 83,
124, 112, 132, 106, 128, 128, 141, 131, 145, 145, 147, 83, 124, 131,
145, 91, 130, 133, 146, 112, 132, 145, 147, 133, 146, 149, 150, 14,
55, 41, 66, 18, 59, 49, 71, 55, 96, 66, 100, 78, 109, 99, 112, 25,
69, 69, 106, 28, 71, 71, 107, 69, 122, 106, 128, 83, 124, 112, 132,
18, 78, 49, 99, 24, 79, 63, 101, 59, 109, 71, 112, 79, 115, 101, 117,
28, 83, 71, 112, 30, 84, 73, 113, 71, 124, 107, 132, 84, 125, 113,
134, 41, 66, 46, 72, 59, 81, 71, 87, 66, 100, 72, 102, 109, 116, 112,
118, 69, 106, 122, 128, 83, 112, 124, 132, 106, 128, 128, 141, 131,
145, 145, 147, 59, 109, 71, 112, 79, 115, 101, 117, 81, 116, 87, 118,
115, 138, 117, 139, 83, 131, 124, 145, 91, 133, 130, 146, 112, 145,
132, 147, 133, 149, 146, 150, 18, 59, 59, 81, 22, 61, 61, 84, 78,
109, 109, 116, 90, 129, 129, 133, 28, 71, 83, 112, 30, 73, 84, 113,
83, 124, 131, 145, 91, 130, 133, 146, 28, 83, 71, 112, 30, 84, 73,
113, 83, 131, 124, 145, 91, 133, 130, 146, 31, 87, 87, 118, 32, 88,
88, 119, 87, 132, 132, 147, 92, 134, 134, 148, 49, 71, 71, 87, 61,
84, 84, 92, 99, 112, 112, 118, 129, 133, 133, 135, 71, 107, 124, 132,
84, 113, 125, 134, 112, 132, 145, 147, 133, 146, 149, 150, 71, 124,
107, 132, 84, 125, 113, 134, 112, 145, 132, 147, 133, 149, 146, 150,
87, 132, 132, 147, 92, 134, 134, 148, 118, 147, 147, 152, 135, 150,
150, 153, 14, 55, 55, 96, 25, 69, 69, 122, 41, 66, 66, 100, 69, 106,
106, 128, 18, 59, 78, 109, 28, 71, 83, 124, 49, 71, 99, 112, 71, 107,
112, 132, 18, 78, 59, 109, 28, 83, 71, 124, 49, 99, 71, 112, 71, 112,
107, 132, 24, 79, 79, 115, 30, 84, 84, 125, 63, 101, 101, 117, 73,
113, 113, 134, 41, 66, 66, 100, 69, 106, 106, 128, 46, 72, 72, 102,
122, 128, 128, 141, 59, 81, 109, 116, 83, 112, 131, 145, 71, 87, 112,
118, 124, 132, 145, 147, 59, 109, 81, 116, 83, 131, 112, 145, 71,
112, 87, 118, 124, 145, 132, 147, 79, 115, 115, 138, 91, 133, 133,
149, 101, 117, 117, 139, 130, 146, 146, 150, 18, 59, 78, 109, 28, 71,
83, 124, 59, 81, 109, 116, 83, 112, 131, 145, 22, 61, 90, 129, 30,
73, 91, 130, 61, 84, 129, 133, 84, 113, 133, 146, 28, 83, 83, 131,
31, 87, 87, 132, 71, 112, 124, 145, 87, 118, 132, 147, 30, 84, 91,
133, 32, 88, 92, 134, 73, 113, 130, 146, 88, 119, 134, 148, 49, 71,
99, 112, 71, 107, 112, 132, 71, 87, 112, 118, 124, 132, 145, 147, 61,
84, 129, 133, 84, 113, 133, 146, 84, 92, 133, 135, 125, 134, 149,
150, 71, 124, 112, 145, 87, 132, 118, 147, 107, 132, 132, 147, 132,
147, 147, 152, 84, 125, 133, 149, 92, 134, 135, 150, 113, 134, 146,
150, 134, 148, 150, 153, 18, 78, 59, 109, 28, 83, 71, 124, 59, 109,
81, 116, 83, 131, 112, 145, 28, 83, 83, 131, 31, 87, 87, 132, 71,
124, 112, 145, 87, 132, 118, 147, 22, 90, 61, 129, 30, 91, 73, 130,
61, 129, 84, 133, 84, 133, 113, 146, 30, 91, 84, 133, 32, 92, 88,
134, 73, 130, 113, 146, 88, 134, 119, 148, 49, 99, 71, 112, 71, 112,
107, 132, 71, 112, 87, 118, 124, 145, 132, 147, 71, 112, 124, 145,
87, 118, 132, 147, 107, 132, 132, 147, 132, 147, 147, 152, 61, 129,
84, 133, 84, 133, 113, 146, 84, 133, 92, 135, 125, 149, 134, 150, 84,
133, 125, 149, 92, 135, 134, 150, 113, 146, 134, 150, 134, 150, 148,
153, 24, 79, 79, 115, 30, 84, 84, 125, 79, 115, 115, 138, 91, 133,
133, 149, 30, 84, 91, 133, 32, 88, 92, 134, 84, 125, 133, 149, 92,
134, 135, 150, 30, 91, 84, 133, 32, 92, 88, 134, 84, 133, 125, 149,
92, 135, 134, 150, 32, 92, 92, 135, 33, 93, 93, 136, 88, 134, 134,
150, 93, 136, 136, 151, 63, 101, 101, 117, 73, 113, 113, 134, 101,
117, 117, 139, 130, 146, 146, 150, 73, 113, 130, 146, 88, 119, 134,
148, 113, 134, 146, 150, 134, 148, 150, 153, 73, 130, 113, 146, 88,
134, 119, 148, 113, 146, 134, 150, 134, 150, 148, 153, 88, 134, 134,
150, 93, 136, 136, 151, 119, 148, 148, 153, 136, 151, 151, 154, 34,
37, 37, 43, 37, 43, 43, 47, 37, 43, 43, 63, 64, 67, 67, 73, 37, 43,
64, 67, 43, 63, 67, 73, 43, 47, 67, 73, 67, 73, 85, 88, 37, 64, 43,
67, 43, 67, 63, 73, 43, 67, 47, 73, 67, 85, 73, 88, 43, 67, 67, 85,
47, 73, 73, 88, 63, 73, 73, 88, 73, 88, 88, 93, 37, 43, 43, 63, 64,
67, 67, 73, 43, 63, 63, 95, 97, 101, 101, 103, 64, 67, 97, 101, 97,
101, 110, 113, 67, 73, 101, 103, 110, 113, 117, 119, 64, 97, 67, 101,
97, 110, 101, 113, 67, 101, 73, 103, 110, 117, 113, 119, 97, 110,
110, 117, 126, 130, 130, 134, 101, 113, 113, 119, 130, 134, 134, 136,
37, 43, 64, 67, 43, 63, 67, 73, 64, 67, 97, 101, 97, 101, 110, 113,
43, 63, 97, 101, 63, 95, 101, 103, 67, 73, 110, 113, 101, 103, 117,
119, 64, 97, 97, 110, 67, 101, 101, 113, 97, 110, 126, 130, 110, 117,
130, 134, 67, 101, 110, 117, 73, 103, 113, 119, 101, 113, 130, 134,
113, 119, 134, 136, 43, 47, 67, 73, 67, 73, 85, 88, 67, 73, 101, 103,
110, 113, 117, 119, 67, 73, 110, 113, 101, 103, 117, 119, 85, 88,
117, 119, 117, 119, 139, 140, 97, 126, 110, 130, 110, 130, 117, 134,
110, 130, 130, 142, 143, 146, 146, 148, 110, 130, 143, 146, 130, 142,
146, 148, 117, 134, 146, 148, 146, 148, 150, 151, 37, 64, 43, 67, 43,
67, 63, 73, 64, 97, 67, 101, 97, 110, 101, 113, 64, 97, 97, 110, 67,
101, 101, 113, 97, 126, 110, 130, 110, 130, 117, 134, 43, 97, 63,
101, 63, 101, 95, 103, 67, 110, 73, 113, 101, 117, 103, 119, 67, 110,
101, 117, 73, 113, 103, 119, 101, 130, 113, 134, 113, 134, 119, 136,
43, 67, 47, 73, 67, 85, 73, 88, 67, 101, 73, 103, 110, 117, 113, 119,
97, 110, 126, 130, 110, 117, 130, 134, 110, 130, 130, 142, 143, 146,
146, 148, 67, 110, 73, 113, 101, 117, 103, 119, 85, 117, 88, 119,
117, 139, 119, 140, 110, 143, 130, 146, 130, 146, 142, 148, 117, 146,
134, 148, 146, 150, 148, 151, 43, 67, 67, 85, 47, 73, 73, 88, 97,
110, 110, 117, 126, 130, 130, 134, 67, 101, 110, 117, 73, 103, 113,
119, 110, 130, 143, 146, 130, 142, 146, 148, 67, 110, 101, 117, 73,
113, 103, 119, 110, 143, 130, 146, 130, 146, 142, 148, 85, 117, 117,
139, 88, 119, 119, 140, 117, 146, 146, 150, 134, 148, 148, 151, 63,
73, 73, 88, 73, 88, 88, 93, 101, 113, 113, 119, 130, 134, 134, 136,
101, 113, 130, 134, 113, 119, 134, 136, 117, 134, 146, 148, 146, 148,
150, 151, 101, 130, 113, 134, 113, 134, 119, 136, 117, 146, 134, 148,
146, 150, 148, 151, 117, 146, 146, 150, 134, 148, 148, 151, 139, 150,
150, 153, 150, 153, 153, 154, 37, 64, 64, 97, 64, 97, 97, 126, 43,
67, 67, 101, 97, 110, 110, 130, 43, 67, 97, 110, 67, 101, 110, 130,
63, 73, 101, 113, 101, 113, 117, 134, 43, 97, 67, 110, 67, 110, 101,
130, 63, 101, 73, 113, 101, 117, 113, 134, 63, 101, 101, 117, 73,
113, 113, 134, 95, 103, 103, 119, 103, 119, 119, 136, 43, 67, 67,
101, 97, 110, 110, 130, 47, 73, 73, 103, 126, 130, 130, 142, 67, 85,
110, 117, 110, 117, 143, 146, 73, 88, 113, 119, 130, 134, 146, 148,
67, 110, 85, 117, 110, 143, 117, 146, 73, 113, 88, 119, 130, 146,
134, 148, 101, 117, 117, 139, 130, 146, 146, 150, 103, 119, 119, 140,
142, 148, 148, 151, 43, 67, 97, 110, 67, 101, 110, 130, 67, 85, 110,
117, 110, 117, 143, 146, 47, 73, 126, 130, 73, 103, 130, 142, 73, 88,
130, 134, 113, 119, 146, 148, 67, 110, 110, 143, 85, 117, 117, 146,
101, 117, 130, 146, 117, 139, 146, 150, 73, 113, 130, 146, 88, 119,
134, 148, 103, 119, 142, 148, 119, 140, 148, 151, 63, 73, 101, 113,
101, 113, 117, 134, 73, 88, 113, 119, 130, 134, 146, 148, 73, 88,
130, 134, 113, 119, 146, 148, 88, 93, 134, 136, 134, 136, 150, 151,
101, 130, 117, 146, 117, 146, 139, 150, 113, 134, 134, 148, 146, 150,
150, 153, 113, 134, 146, 150, 134, 148, 150, 153, 119, 136, 148, 151,
148, 151, 153, 154, 43, 97, 67, 110, 67, 110, 101, 130, 67, 110, 85,
117, 110, 143, 117, 146, 67, 110, 110, 143, 85, 117, 117, 146, 101,
130, 117, 146, 117, 146, 139, 150, 47, 126, 73, 130, 73, 130, 103,
142, 73, 130, 88, 134, 113, 146, 119, 148, 73, 130, 113, 146, 88,
134, 119, 148, 103, 142, 119, 148, 119, 148, 140, 151, 63, 101, 73,
113, 101, 117, 113, 134, 73, 113, 88, 119, 130, 146, 134, 148, 101,
117, 130, 146, 117, 139, 146, 150, 113, 134, 134, 148, 146, 150, 150,
153, 73, 130, 88, 134, 113, 146, 119, 148, 88, 134, 93, 136, 134,
150, 136, 151, 113, 146, 134, 150, 134, 150, 148, 153, 119, 148, 136,
151, 148, 153, 151, 154, 63, 101, 101, 117, 73, 113, 113, 134, 101,
117, 117, 139, 130, 146, 146, 150, 73, 113, 130, 146, 88, 119, 134,
148, 113, 134, 146, 150, 134, 148, 150, 153, 73, 130, 113, 146, 88,
134, 119, 148, 113, 146, 134, 150, 134, 150, 148, 153, 88, 134, 134,
150, 93, 136, 136, 151, 119, 148, 148, 153, 136, 151, 151, 154, 95,
103, 103, 119, 103, 119, 119, 136, 103, 119, 119, 140, 142, 148, 148,
151, 103, 119, 142, 148, 119, 140, 148, 151, 119, 136, 148, 151, 148,
151, 153, 154, 103, 142, 119, 148, 119, 148, 140, 151, 119, 148, 136,
151, 148, 153, 151, 154, 119, 148, 148, 153, 136, 151, 151, 154, 140,
151, 151, 154, 151, 154, 154, 155
};
const unsigned int igraph_i_isographs_3[] = { 0, 1, 3, 5, 6, 7, 10, 11, 15, 21,
23, 25, 27, 30, 31, 63
};
const unsigned int igraph_i_isographs_3u[] = { 0, 1, 3, 7 };
const unsigned int igraph_i_isographs_4[] = {
0, 1, 3, 7, 9, 10, 11, 14, 15, 18, 19, 20, 21,
22, 23, 27, 29, 30, 31, 54, 55, 63, 73, 75, 76, 77,
79, 81, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 95,
98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 115,
116, 117, 118, 119, 122, 123, 124, 125, 126, 127, 219, 220, 221,
223, 228, 229, 230, 231, 237, 238, 239, 246, 247, 255, 292, 293,
295, 301, 302, 303, 310, 311, 319, 365, 367, 373, 375, 382, 383,
511, 585, 587, 591, 593, 594, 595, 596, 597, 598, 599, 601, 602,
603, 604, 605, 606, 607, 625, 626, 627, 630, 631, 633, 634, 635,
638, 639, 659, 660, 661, 663, 666, 667, 669, 670, 671, 674, 675,
678, 679, 683, 686, 687, 694, 695, 703, 729, 731, 732, 733, 735,
737, 739, 741, 742, 743, 745, 746, 747, 748, 749, 750, 751, 753,
755, 756, 757, 758, 759, 761, 762, 763, 764, 765, 766, 767, 819,
822, 823, 826, 827, 830, 831, 875, 876, 877, 879, 883, 885, 886,
887, 891, 892, 893, 894, 895, 947, 949, 951, 955, 957, 958, 959,
1019, 1020, 1021, 1023, 1755, 1757, 1758, 1759, 1782, 1783, 1791, 1883, 1887,
1907, 1911, 1917, 1918, 1919, 2029, 2031, 2039, 2047, 4095
};
const unsigned int igraph_i_isographs_4u[] = { 0, 1, 3, 7, 11, 12, 13,
15, 30, 31, 63
};
const unsigned int igraph_i_isographs_5u[] = {
0, 1, 3, 7, 11, 12, 13, 15, 30, 31, 63, 75, 76, 77, 79, 86, 87, 94,
95, 116, 117, 119, 127, 222, 223, 235, 236, 237, 239, 254, 255, 507,
511, 1023
};
const unsigned int igraph_i_isographs_6u[] = {
0, 1, 3, 7, 11, 12, 13, 15, 30, 31, 63, 75, 76, 77, 79, 86, 87, 94,
95, 116, 117, 119, 127, 222, 223, 235, 236, 237, 239, 254, 255, 507,
511, 1023, 1099, 1100, 1101, 1103, 1108, 1109, 1110, 1111, 1118,
1119, 1140, 1141, 1143, 1151, 1182, 1183, 1184, 1185, 1187, 1191,
1194, 1195, 1196, 1197, 1198, 1199, 1214, 1215, 1246, 1247, 1259,
1260, 1261, 1263, 1268, 1269, 1270, 1271, 1278, 1279, 1456, 1457,
1459, 1460, 1461, 1463, 1465, 1467, 1468, 1469, 1471, 1531, 1532,
1533, 1535, 1972, 1973, 1975, 1983, 2047, 3294, 3295, 3306, 3307,
3308, 3309, 3310, 3311, 3326, 3327, 3440, 3441, 3443, 3447, 3448,
3449, 3451, 3452, 3453, 3455, 3576, 3577, 3578, 3579, 3582, 3583,
3873, 3875, 3879, 3885, 3887, 3903, 3947, 3948, 3949, 3950, 3951,
3958, 3959, 3966, 3967, 4094, 4095, 7672, 7673, 7675, 7679, 7902,
7903, 7915, 7916, 7917, 7919, 7934, 7935, 8185, 8187, 8191, 16350,
16351, 16383, 32767
};
const unsigned int igraph_i_classedges_3[] = { 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0 };
const unsigned int igraph_i_classedges_3u[] = { 1, 2, 0, 2, 0, 1 };
const unsigned int igraph_i_classedges_4[] = { 2, 3, 1, 3, 0, 3, 3, 2, 1, 2, 0, 2,
3, 1, 2, 1, 0, 1, 3, 0, 2, 0, 1, 0
};
const unsigned int igraph_i_classedges_4u[] = { 2, 3, 1, 3, 0, 3, 1, 2, 0, 2, 0, 1 };
const unsigned int igraph_i_classedges_5u[] = { 3, 4, 2, 4, 1, 4, 0, 4, 2, 3, 1, 3,
0, 3, 1, 2, 0, 2, 0, 1 };
const unsigned int igraph_i_classedges_6u[] = { 4, 5, 3, 5, 2, 5, 1, 5, 0, 5, 3, 4,
2, 4, 1, 4, 0, 4, 2, 3, 1, 3, 0, 3,
1, 2, 0, 2, 0, 1 };
/**
* \function igraph_isoclass
* \brief Determine the isomorphism class of small graphs.
*
* </para><para>
* All graphs with a given number of vertices belong to a number of
* isomorphism classes, with every graph in a given class being
* isomorphic to each other.
*
* </para><para>
* This function gives the isomorphism class (a number) of a
* graph. Two graphs have the same isomorphism class if and only if
* they are isomorphic.
*
* </para><para>
* The first isomorphism class is numbered zero and it contains the edgeless
* graph. The last isomorphism class contains the full graph. The number of
* isomorphism classes for directed graphs with three vertices is 16
* (between 0 and 15), for undirected graph it is only 4. For graphs
* with four vertices it is 218 (directed) and 11 (undirected).
* For 5 and 6 vertex undirected graphs, it is 34 and 156, respectively.
* These values can also be retrieved using \ref igraph_graph_count().
* For more information, see https://oeis.org/A000273 and https://oeis.org/A000088.
*
* </para><para>
* At the moment, 3- and 4-vertex directed graphs and 3 to 6 vertex
* undirected graphs are supported.
*
* </para><para>
* Multi-edges and self-loops are ignored by this function.
*
* \param graph The graph object.
* \param isoclass Pointer to an integer, the isomorphism class will
* be stored here.
* \return Error code.
* \sa \ref igraph_isomorphic(), \ref igraph_isoclass_subgraph(),
* \ref igraph_isoclass_create(), \ref igraph_motifs_randesu().
*
* Because of some limitations this function works only for graphs
* with three of four vertices.
*
* </para><para>
* Time complexity: O(|E|), the number of edges in the graph.
*/
igraph_error_t igraph_isoclass(const igraph_t *graph, igraph_int_t *isoclass) {
igraph_int_t e;
igraph_int_t no_of_nodes = igraph_vcount(graph);
igraph_int_t no_of_edges = igraph_ecount(graph);
unsigned int idx, mul;
const unsigned int *arr_idx, *arr_code;
unsigned int code;
if (igraph_is_directed(graph)) {
switch (no_of_nodes) {
case 3:
arr_idx = igraph_i_isoclass_3_idx;
arr_code = igraph_i_isoclass2_3;
mul = 3;
break;
case 4:
arr_idx = igraph_i_isoclass_4_idx;
arr_code = igraph_i_isoclass2_4;
mul = 4;
break;
default:
IGRAPH_ERROR("Directed isoclass is only implemented for graphs with 3 or 4 vertices.",
IGRAPH_UNIMPLEMENTED);
}
} else {
switch (no_of_nodes) {
case 3:
arr_idx = igraph_i_isoclass_3u_idx;
arr_code = igraph_i_isoclass2_3u;
mul = 3;
break;
case 4:
arr_idx = igraph_i_isoclass_4u_idx;
arr_code = igraph_i_isoclass2_4u;
mul = 4;
break;
case 5:
arr_idx = igraph_i_isoclass_5u_idx;
arr_code = igraph_i_isoclass2_5u;
mul = 5;
break;
case 6:
arr_idx = igraph_i_isoclass_6u_idx;
arr_code = igraph_i_isoclass2_6u;
mul = 6;
break;
default:
IGRAPH_ERROR("Undirected isoclass is only implemented for graphs with 3 to 6 vertices.",
IGRAPH_UNIMPLEMENTED);
}
}
code = 0;
for (e = 0; e < no_of_edges; e++) {
idx = mul * IGRAPH_FROM(graph, e) + IGRAPH_TO(graph, e);
code |= arr_idx[idx];
}
*isoclass = (igraph_int_t) arr_code[code];
return IGRAPH_SUCCESS;
}
/**
* \function igraph_isoclass_subgraph
* \brief The isomorphism class of a subgraph of a graph.
*
* This function identifies the isomorphism class of the subgraph
* induced the vertices specified in \p vids.
*
* </para><para>
* At the moment, 3- and 4-vertex directed graphs and 3 to 6 vertex
* undirected graphs are supported.
*
* </para><para>
* Multi-edges and self-loops are ignored by this function.
*
* \param graph The graph object.
* \param vids The vertices of the subgraph. Each vertex must be included at most once.
* \param isoclass Pointer to an integer, this will be set to the
* isomorphism class.
* \return Error code.
* \sa \ref igraph_isoclass(), \ref igraph_isomorphic(),
* \ref igraph_isoclass_create().
*
* Time complexity: O((d+n)*n), d is the average degree in the network,
* and n is the number of vertices in \c vids.
*/
igraph_error_t igraph_isoclass_subgraph(const igraph_t *graph, igraph_vs_t vids,
igraph_int_t *isoclass) {
igraph_int_t subgraph_size;
igraph_vector_int_t vertices, neis;
unsigned int mul, idx;
const unsigned int *arr_idx, *arr_code;
unsigned int code = 0;
IGRAPH_VECTOR_INT_INIT_FINALLY(&vertices, 0);
IGRAPH_CHECK(igraph_vs_as_vector(graph, vids, &vertices));
subgraph_size = igraph_vector_int_size(&vertices);
IGRAPH_VECTOR_INT_INIT_FINALLY(&neis, 0);
if (igraph_is_directed(graph)) {
switch (subgraph_size) {
case 3:
arr_idx = igraph_i_isoclass_3_idx;
arr_code = igraph_i_isoclass2_3;
mul = 3;
break;
case 4:
arr_idx = igraph_i_isoclass_4_idx;
arr_code = igraph_i_isoclass2_4;
mul = 4;
break;
default:
IGRAPH_ERROR("Directed isoclass is only implemented for graphs with 3 or 4 vertices.",
IGRAPH_UNIMPLEMENTED);
}
} else {
switch (subgraph_size) {
case 3:
arr_idx = igraph_i_isoclass_3u_idx;
arr_code = igraph_i_isoclass2_3u;
mul = 3;
break;
case 4:
arr_idx = igraph_i_isoclass_4u_idx;
arr_code = igraph_i_isoclass2_4u;
mul = 4;
break;
case 5:
arr_idx = igraph_i_isoclass_5u_idx;
arr_code = igraph_i_isoclass2_5u;
mul = 5;
break;
case 6:
arr_idx = igraph_i_isoclass_6u_idx;
arr_code = igraph_i_isoclass2_6u;
mul = 6;
break;
default:
IGRAPH_ERROR("Undirected isoclass is only implemented for graphs with 3 to 6 vertices.",
IGRAPH_UNIMPLEMENTED);
}
}
for (igraph_int_t i = 0; i < subgraph_size; i++) {
igraph_int_t from = VECTOR(vertices)[i];
IGRAPH_CHECK(igraph_neighbors(
graph, &neis, from, IGRAPH_OUT, IGRAPH_LOOPS, IGRAPH_MULTIPLE
));
const igraph_int_t s = igraph_vector_int_size(&neis);
for (igraph_int_t j = 0; j < s; j++) {
igraph_int_t nei = VECTOR(neis)[j], to;
if (igraph_vector_int_search(&vertices, 0, nei, &to)) {
idx = (mul * i + to);
code |= arr_idx[idx];
}
}
}
*isoclass = arr_code[code];
igraph_vector_int_destroy(&neis);
igraph_vector_int_destroy(&vertices);
IGRAPH_FINALLY_CLEAN(2);
return IGRAPH_SUCCESS;
}
/**
* \function igraph_isoclass_create
* \brief Creates a graph from the given isomorphism class.
*
* </para><para>
* This function creates the canonical representative graph of the
* given isomorphism class.
*
* </para><para>
* The isomorphism class is an integer between 0 and the number of
* unique unlabeled (i.e. non-isomorphic) graphs on the given number
* of vertices and give directedness. See https://oeis.org/A000273
* and https://oeis.org/A000088 for the number of directed and
* undirected graphs on \p size nodes.
*
* </para><para>
* At the moment, 3- and 4-vertex directed graphs and 3 to 6 vertex
* undirected graphs are supported.
*
* \param graph Pointer to an uninitialized graph object.
* \param size The number of vertices to add to the graph.
* \param number The isomorphism class.
* \param directed Boolean constant, whether to create a directed
* graph.
* \return Error code.
* \sa \ref igraph_isoclass(),
* \ref igraph_isoclass_subgraph(),
* \ref igraph_isomorphic().
*
* Time complexity: O(|V|+|E|), the number of vertices plus the number
* of edges in the graph to create.
*/
igraph_error_t igraph_isoclass_create(igraph_t *graph, igraph_int_t size,
igraph_int_t number, igraph_bool_t directed) {
igraph_vector_int_t edges;
const unsigned int *classedges;
igraph_int_t graphcount;
igraph_int_t pos;
unsigned int power;
unsigned int code;
IGRAPH_VECTOR_INT_INIT_FINALLY(&edges, 0);
#define CHECK_ISOCLASS(number, directed, size, graphcount) \
IGRAPH_ERRORF( \
"Isoclass %" IGRAPH_PRId " requested, but there are only %" \
IGRAPH_PRId " %s graphs of size %" IGRAPH_PRId ".", IGRAPH_EINVAL, \
number, graphcount, directed ? "directed" : "undirected", size)
if (directed) {
switch (size) {
case 3: {
classedges = igraph_i_classedges_3;
graphcount = sizeof(igraph_i_isographs_3) / sizeof(igraph_i_isographs_3[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_3[number];
power = 32;
break;
}
case 4: {
classedges = igraph_i_classedges_4;
graphcount = sizeof(igraph_i_isographs_4) / sizeof(igraph_i_isographs_4[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_4[number];
power = 2048;
break;
}
default:
IGRAPH_ERROR("Directed isoclasses are supported only for graphs with 3 or 4 vertices.",
IGRAPH_UNIMPLEMENTED);
}
} else {
switch (size) {
case 3: {
classedges = igraph_i_classedges_3u;
graphcount = sizeof(igraph_i_isographs_3u) / sizeof(igraph_i_isographs_3u[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_3u[number];
power = 4;
break;
}
case 4: {
classedges = igraph_i_classedges_4u;
graphcount = sizeof(igraph_i_isographs_4u) / sizeof(igraph_i_isographs_4u[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_4u[number];
power = 32;
break;
}
case 5: {
classedges = igraph_i_classedges_5u;
graphcount = sizeof(igraph_i_isographs_5u) / sizeof(igraph_i_isographs_5u[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_5u[number];
power = 512;
break;
}
case 6: {
classedges = igraph_i_classedges_6u;
graphcount = sizeof(igraph_i_isographs_6u) / sizeof(igraph_i_isographs_6u[0]);
if (number < 0 || number >= graphcount) {
CHECK_ISOCLASS(number, directed, size, graphcount);
}
code = igraph_i_isographs_6u[number];
power = 16384;
break;
}
default:
IGRAPH_ERROR("Undirected isoclasses are supported only for graphs with 3 to 6 vertices.",
IGRAPH_UNIMPLEMENTED);
}
}
#undef CHECK_ISOCLASS
pos = 0;
while (code > 0) {
if (code >= power) {
IGRAPH_CHECK(igraph_vector_int_push_back(&edges, classedges[2 * pos]));
IGRAPH_CHECK(igraph_vector_int_push_back(&edges, classedges[2 * pos + 1]));
code -= power;
}
power /= 2;
pos++;
}
IGRAPH_CHECK(igraph_create(graph, &edges, size, directed));
igraph_vector_int_destroy(&edges);
IGRAPH_FINALLY_CLEAN(1);
return IGRAPH_SUCCESS;
}
/* https://oeis.org/A000088 */
static igraph_int_t undirected_graph_counts[] = {
1, 1, 2, 4, 11, 34, 156, 1044, 12346, 274668, 12005168, 1018997864,
#if IGRAPH_INTEGER_SIZE == 64
165091172592, 50502031367952, 29054155657235488
#endif
};
/* https://oeis.org/A000273 */
static igraph_int_t directed_graph_counts[] = {
1, 1, 3, 16, 218, 9608, 1540944, 882033440,
#if IGRAPH_INTEGER_SIZE == 64
1793359192848, 13027956824399552
#endif
};
/**
* \function igraph_graph_count
* \brief The number of unlabelled graphs on the given number of vertices.
*
* Gives the number of unlabelled \em simple graphs on the specified number of vertices.
* The "isoclass" of a graph of this size is at most one less than this value.
*
* </para><para>
* This function is meant to be used in conjunction with isoclass and motif finder
* functions. It will only work for small \p n values for which the result is
* represetable in an \type igraph_int_t. For larger \p n values, an overflow
* error is raised.
*
* \param n The number of vertices.
* \param directed Boolean, whether to consider directed graphs.
* \param count Pointer to an integer, the result will be stored here.
* \return Error code.
*
* \sa \ref igraph_isoclass(), \ref igraph_motifs_randesu_callback().
*
* Time complexity: O(1).
*/
igraph_error_t igraph_graph_count(igraph_int_t n, igraph_bool_t directed, igraph_int_t *count) {
if (n < 0) {
IGRAPH_ERROR("Graph size must not be negative.", IGRAPH_EINVAL);
}
if (directed) {
if (n >= (igraph_int_t) (sizeof directed_graph_counts / sizeof directed_graph_counts[0])) {
IGRAPH_ERRORF("Graph size of % " IGRAPH_PRId " too large.", IGRAPH_EOVERFLOW, n);
}
*count = directed_graph_counts[n];
} else {
if (n >= (igraph_int_t) (sizeof undirected_graph_counts / sizeof undirected_graph_counts[0])) {
IGRAPH_ERRORF("Graph size of % " IGRAPH_PRId " too large.", IGRAPH_EOVERFLOW, n);
}
*count = undirected_graph_counts[n];
}
return IGRAPH_SUCCESS;
}
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