1/*
2 * Copyright (c) 1989, 1993
3 *	The Regents of the University of California.  All rights reserved.
4 *
5 * This code is derived from software contributed to Berkeley by
6 * Landon Curt Noll.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 * 1. Redistributions of source code must retain the above copyright
12 *    notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 *    notice, this list of conditions and the following disclaimer in the
15 *    documentation and/or other materials provided with the distribution.
16 * 3. Neither the name of the University nor the names of its contributors
17 *    may be used to endorse or promote products derived from this software
18 *    without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30 * SUCH DAMAGE.
31 */
32
33/*
34 * pattern - the Eratosthenes sieve on odd numbers for 3,5,7,11 and 13
35 *
36 * By: Landon Curt Noll                             chongo@toad.com
37 *
38 *   chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
39 *
40 * To avoid excessive sieves for small factors, we use the table below to
41 * setup our sieve blocks.  Each element represents an odd number starting
42 * with 1.  All non-zero elements are factors of 3, 5, 7, 11 and 13.
43 */
44
45#include <stddef.h>
46
47#include "primes.h"
48
49const char pattern[] = {
501,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
511,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
521,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,
530,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
541,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
551,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
560,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
571,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
580,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
591,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
600,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
611,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,
621,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
630,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
641,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
651,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
661,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
671,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,
680,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
691,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
700,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
710,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
721,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
730,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
741,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
751,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
761,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
770,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
780,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
791,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,
801,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
811,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
820,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,
830,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
840,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
851,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,
861,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
871,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
880,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
891,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
901,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
910,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
921,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
930,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,
941,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,
951,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
961,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,
971,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
980,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
991,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,
1001,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1011,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,
1021,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1030,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1040,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1050,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1061,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1071,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,
1080,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1091,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1101,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,
1111,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1120,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
1130,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1141,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1150,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,
1161,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,
1171,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
1180,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
1190,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1201,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,
1211,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1221,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1230,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,
1241,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1251,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1260,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1271,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
1280,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1291,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1301,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1311,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1321,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
1330,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1341,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,
1351,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1361,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1370,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1380,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
1391,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
1400,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,
1411,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1421,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1430,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1441,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,
1451,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1461,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1470,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
1480,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
1491,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
1501,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1511,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1521,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
1530,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
1540,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
1551,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1561,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,
1571,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
1580,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1590,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
1601,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1610,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1621,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,
1630,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1641,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1651,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,
1661,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,
1671,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
1680,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1691,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1700,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,
1711,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1721,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1730,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,
1741,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
1750,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,
1761,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1771,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
1780,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1791,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1801,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1810,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1820,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,
1830,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1841,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1851,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1861,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
1871,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
1880,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1890,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
1901,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1911,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1920,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,
1930,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,
1941,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1951,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
1960,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1971,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,
1980,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1991,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
2001,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,
2011,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
2021,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
2030,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
2041,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
2051,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
2061,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
2071,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
2080,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
2091,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
2100,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
2111,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,
2121,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
2130,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
2140,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
2151,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,
2161,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
2170,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,
2180,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
2191,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
2201,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
2211,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
2221,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
2230,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
2240,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
2250,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
2261,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
2271,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
2280,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
2291,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
2301,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
2310,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
2321,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,
2330,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,
2341,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
2351,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
2360,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
2371,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
2380,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
2391,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
2401,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
2411,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,
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3411,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,
3421,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
3430,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
3441,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
3451,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
3460,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
3471,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,
3480,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
3491,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
3500,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
3511,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
3521,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,
3530,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3541,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
3551,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
3561,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
3570,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,
3580,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
3591,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
3601,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,
3611,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
3621,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
3630,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3640,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
3651,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
3661,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
3671,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
3680,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
3691,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,
3701,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
3710,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
3721,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
3730,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,
3741,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
3751,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,
3761,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
3771,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
3780,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3790,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
3801,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
3811,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
3821,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
3830,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
3841,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
3850,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
3861,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
3871,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
3880,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3891,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
3900,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,
3911,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
3920,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
3930,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,
3941,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
3951,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,
3961,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
3971,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,
3980,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
3990,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
4001,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
4010,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
4021,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,
4030,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
4041,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
4051,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
4060,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,
4071,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,
4080,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
4091,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,
4101,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
4111,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
4120,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,
4130,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
4141,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
4151,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
4161,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
4171,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
4180,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
4191,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
4200,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
4211,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
4221,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
4230,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
4241,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,
4251,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
4261,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
4270,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
4280,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,
4291,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,
4301,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
4311,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,
4321,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
4330,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
4340,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1
435};
436const size_t pattern_size = (sizeof(pattern)/sizeof(pattern[0]));
437