Importing games/primes

No Minix specific changes needed.

Change-Id: Id4133ad419cb1e31e49b625ad80bb003561afaad
This commit is contained in:
Thomas Cort 2014-03-15 16:04:13 -04:00 committed by Lionel Sambuc
parent 0819c9f89b
commit d1878c29f6
9 changed files with 1508 additions and 1 deletions

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@ -559,6 +559,7 @@
./usr/games minix-sys
./usr/games/adventure minix-sys
./usr/games/hide minix-sys
./usr/games/primes minix-sys
./usr/include minix-sys
./usr/include/aio.h minix-sys
./usr/include/a.out.h minix-sys
@ -4750,6 +4751,7 @@
./usr/man/man5/utmp.5 minix-sys
./usr/man/man6 minix-sys
./usr/man/man6/adventure.6 minix-sys
./usr/man/man6/primes.6 minix-sys
./usr/man/man7 minix-sys
./usr/man/man7/ascii.7 minix-sys
./usr/man/man7/atf.7 minix-sys atf

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@ -7,7 +7,12 @@
.include <bsd.own.mk>
SUBDIR= adventure
SUBDIR= adventure \
\
\
\
\
primes
.if !defined(__MINIX)
.if ${MKCXX} != "no"

10
games/primes/Makefile Normal file
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@ -0,0 +1,10 @@
# $NetBSD: Makefile,v 1.7 2004/02/08 13:16:25 jsm Exp $
# @(#)Makefile 8.1 (Berkeley) 5/31/93
PROG= primes
SRCS= pattern.c pr_tbl.c primes.c
MAN= primes.6
DPADD= ${LIBM}
LDADD= -lm
.include <bsd.prog.mk>

443
games/primes/pattern.c Normal file
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@ -0,0 +1,443 @@
/* $NetBSD: pattern.c,v 1.6 2003/08/07 09:37:33 agc Exp $ */
/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* This code is derived from software contributed to Berkeley by
* Landon Curt Noll.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <sys/cdefs.h>
#ifndef lint
#if 0
static char sccsid[] = "@(#)pattern.c 8.1 (Berkeley) 5/31/93";
#else
__RCSID("$NetBSD: pattern.c,v 1.6 2003/08/07 09:37:33 agc Exp $");
#endif
#endif /* not lint */
/*
* pattern - the Eratosthenes sieve on odd numbers for 3,5,7,11 and 13
*
* By: Landon Curt Noll chongo@toad.com
*
* chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
*
* To avoid excessive sieves for small factors, we use the table below to
* setup our sieve blocks. Each element represents a odd number starting
* with 1. All non-zero elements are factors of 3, 5, 7, 11 and 13.
*/
const char pattern[] = {
1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,
1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,
1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,
1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,
0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,
1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,
1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,
0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,
1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,
1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,
0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,
1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,
0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,
0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1
};
const int pattern_size = (sizeof(pattern)/sizeof(pattern[0]));

549
games/primes/pr_tbl.c Normal file
View file

@ -0,0 +1,549 @@
/* $NetBSD: pr_tbl.c,v 1.7 2003/08/07 09:37:33 agc Exp $ */
/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* This code is derived from software contributed to Berkeley by
* Landon Curt Noll.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <sys/cdefs.h>
#ifndef lint
#if 0
static char sccsid[] = "@(#)pr_tbl.c 8.1 (Berkeley) 5/31/93";
#else
__RCSID("$NetBSD: pr_tbl.c,v 1.7 2003/08/07 09:37:33 agc Exp $");
#endif
#endif /* not lint */
/*
* prime - prime table
*
* By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
*
* chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
*
* We are able to sieve 2^32-1 because this table has primes up to 65537
* and 65537^2 > 2^32-1.
*/
#include "primes.h"
const ubig prime[] = {
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,
107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,
211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,
317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,
439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,
569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,
677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,
821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,
947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,
1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,
1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,
1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,
1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,
1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,
1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,
1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,
1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,
1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,
2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,
2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,
2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,
2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,
2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,
2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,
2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,
2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,
3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,
3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,
3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,
3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,
3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,
3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,
3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,
3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,
4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,
4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,
4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,
4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,
4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,
4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,
4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,
4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,
5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,
5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,
5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,
5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,
5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,
5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,
5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,
5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,
6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,
6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,
6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,
6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,
6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,
6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,
6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,
6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,
7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,
7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,
7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,
7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,
7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,
7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,
7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,
8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,
8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,
8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,
8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,
8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,
8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,
8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,
9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,
9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,
9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,
9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,
9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,
9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,
9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,
9967,9973,10007,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,
10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,10181,10193,10211,
10223,10243,10247,10253,10259,10267,10271,10273,10289,10301,10303,10313,10321,
10331,10333,10337,10343,10357,10369,10391,10399,10427,10429,10433,10453,10457,
10459,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,10589,10597,
10601,10607,10613,10627,10631,10639,10651,10657,10663,10667,10687,10691,10709,
10711,10723,10729,10733,10739,10753,10771,10781,10789,10799,10831,10837,10847,
10853,10859,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949,10957,
10973,10979,10987,10993,11003,11027,11047,11057,11059,11069,11071,11083,11087,
11093,11113,11117,11119,11131,11149,11159,11161,11171,11173,11177,11197,11213,
11239,11243,11251,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,
11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,11447,11467,11471,
11483,11489,11491,11497,11503,11519,11527,11549,11551,11579,11587,11593,11597,
11617,11621,11633,11657,11677,11681,11689,11699,11701,11717,11719,11731,11743,
11777,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,11839,11863,
11867,11887,11897,11903,11909,11923,11927,11933,11939,11941,11953,11959,11969,
11971,11981,11987,12007,12011,12037,12041,12043,12049,12071,12073,12097,12101,
12107,12109,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,12227,
12239,12241,12251,12253,12263,12269,12277,12281,12289,12301,12323,12329,12343,
12347,12373,12377,12379,12391,12401,12409,12413,12421,12433,12437,12451,12457,
12473,12479,12487,12491,12497,12503,12511,12517,12527,12539,12541,12547,12553,
12569,12577,12583,12589,12601,12611,12613,12619,12637,12641,12647,12653,12659,
12671,12689,12697,12703,12713,12721,12739,12743,12757,12763,12781,12791,12799,
12809,12821,12823,12829,12841,12853,12889,12893,12899,12907,12911,12917,12919,
12923,12941,12953,12959,12967,12973,12979,12983,13001,13003,13007,13009,13033,
13037,13043,13049,13063,13093,13099,13103,13109,13121,13127,13147,13151,13159,
13163,13171,13177,13183,13187,13217,13219,13229,13241,13249,13259,13267,13291,
13297,13309,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411,13417,
13421,13441,13451,13457,13463,13469,13477,13487,13499,13513,13523,13537,13553,
13567,13577,13591,13597,13613,13619,13627,13633,13649,13669,13679,13681,13687,
13691,13693,13697,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781,
13789,13799,13807,13829,13831,13841,13859,13873,13877,13879,13883,13901,13903,
13907,13913,13921,13931,13933,13963,13967,13997,13999,14009,14011,14029,14033,
14051,14057,14071,14081,14083,14087,14107,14143,14149,14153,14159,14173,14177,
14197,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323,14327,14341,
14347,14369,14387,14389,14401,14407,14411,14419,14423,14431,14437,14447,14449,
14461,14479,14489,14503,14519,14533,14537,14543,14549,14551,14557,14561,14563,
14591,14593,14621,14627,14629,14633,14639,14653,14657,14669,14683,14699,14713,
14717,14723,14731,14737,14741,14747,14753,14759,14767,14771,14779,14783,14797,
14813,14821,14827,14831,14843,14851,14867,14869,14879,14887,14891,14897,14923,
14929,14939,14947,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073,
15077,15083,15091,15101,15107,15121,15131,15137,15139,15149,15161,15173,15187,
15193,15199,15217,15227,15233,15241,15259,15263,15269,15271,15277,15287,15289,
15299,15307,15313,15319,15329,15331,15349,15359,15361,15373,15377,15383,15391,
15401,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497,15511,15527,
15541,15551,15559,15569,15581,15583,15601,15607,15619,15629,15641,15643,15647,
15649,15661,15667,15671,15679,15683,15727,15731,15733,15737,15739,15749,15761,
15767,15773,15787,15791,15797,15803,15809,15817,15823,15859,15877,15881,15887,
15889,15901,15907,15913,15919,15923,15937,15959,15971,15973,15991,16001,16007,
16033,16057,16061,16063,16067,16069,16073,16087,16091,16097,16103,16111,16127,
16139,16141,16183,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267,
16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,16411,16417,16421,
16427,16433,16447,16451,16453,16477,16481,16487,16493,16519,16529,16547,16553,
16561,16567,16573,16603,16607,16619,16631,16633,16649,16651,16657,16661,16673,
16691,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811,16823,16829,
16831,16843,16871,16879,16883,16889,16901,16903,16921,16927,16931,16937,16943,
16963,16979,16981,16987,16993,17011,17021,17027,17029,17033,17041,17047,17053,
17077,17093,17099,17107,17117,17123,17137,17159,17167,17183,17189,17191,17203,
17207,17209,17231,17239,17257,17291,17293,17299,17317,17321,17327,17333,17341,
17351,17359,17377,17383,17387,17389,17393,17401,17417,17419,17431,17443,17449,
17467,17471,17477,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573,
17579,17581,17597,17599,17609,17623,17627,17657,17659,17669,17681,17683,17707,
17713,17729,17737,17747,17749,17761,17783,17789,17791,17807,17827,17837,17839,
17851,17863,17881,17891,17903,17909,17911,17921,17923,17929,17939,17957,17959,
17971,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059,18061,18077,
18089,18097,18119,18121,18127,18131,18133,18143,18149,18169,18181,18191,18199,
18211,18217,18223,18229,18233,18251,18253,18257,18269,18287,18289,18301,18307,
18311,18313,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427,18433,
18439,18443,18451,18457,18461,18481,18493,18503,18517,18521,18523,18539,18541,
18553,18583,18587,18593,18617,18637,18661,18671,18679,18691,18701,18713,18719,
18731,18743,18749,18757,18773,18787,18793,18797,18803,18839,18859,18869,18899,
18911,18913,18917,18919,18947,18959,18973,18979,19001,19009,19013,19031,19037,
19051,19069,19073,19079,19081,19087,19121,19139,19141,19157,19163,19181,19183,
19207,19211,19213,19219,19231,19237,19249,19259,19267,19273,19289,19301,19309,
19319,19333,19373,19379,19381,19387,19391,19403,19417,19421,19423,19427,19429,
19433,19441,19447,19457,19463,19469,19471,19477,19483,19489,19501,19507,19531,
19541,19543,19553,19559,19571,19577,19583,19597,19603,19609,19661,19681,19687,
19697,19699,19709,19717,19727,19739,19751,19753,19759,19763,19777,19793,19801,
19813,19819,19841,19843,19853,19861,19867,19889,19891,19913,19919,19927,19937,
19949,19961,19963,19973,19979,19991,19993,19997,20011,20021,20023,20029,20047,
20051,20063,20071,20089,20101,20107,20113,20117,20123,20129,20143,20147,20149,
20161,20173,20177,20183,20201,20219,20231,20233,20249,20261,20269,20287,20297,
20323,20327,20333,20341,20347,20353,20357,20359,20369,20389,20393,20399,20407,
20411,20431,20441,20443,20477,20479,20483,20507,20509,20521,20533,20543,20549,
20551,20563,20593,20599,20611,20627,20639,20641,20663,20681,20693,20707,20717,
20719,20731,20743,20747,20749,20753,20759,20771,20773,20789,20807,20809,20849,
20857,20873,20879,20887,20897,20899,20903,20921,20929,20939,20947,20959,20963,
20981,20983,21001,21011,21013,21017,21019,21023,21031,21059,21061,21067,21089,
21101,21107,21121,21139,21143,21149,21157,21163,21169,21179,21187,21191,21193,
21211,21221,21227,21247,21269,21277,21283,21313,21317,21319,21323,21341,21347,
21377,21379,21383,21391,21397,21401,21407,21419,21433,21467,21481,21487,21491,
21493,21499,21503,21517,21521,21523,21529,21557,21559,21563,21569,21577,21587,
21589,21599,21601,21611,21613,21617,21647,21649,21661,21673,21683,21701,21713,
21727,21737,21739,21751,21757,21767,21773,21787,21799,21803,21817,21821,21839,
21841,21851,21859,21863,21871,21881,21893,21911,21929,21937,21943,21961,21977,
21991,21997,22003,22013,22027,22031,22037,22039,22051,22063,22067,22073,22079,
22091,22093,22109,22111,22123,22129,22133,22147,22153,22157,22159,22171,22189,
22193,22229,22247,22259,22271,22273,22277,22279,22283,22291,22303,22307,22343,
22349,22367,22369,22381,22391,22397,22409,22433,22441,22447,22453,22469,22481,
22483,22501,22511,22531,22541,22543,22549,22567,22571,22573,22613,22619,22621,
22637,22639,22643,22651,22669,22679,22691,22697,22699,22709,22717,22721,22727,
22739,22741,22751,22769,22777,22783,22787,22807,22811,22817,22853,22859,22861,
22871,22877,22901,22907,22921,22937,22943,22961,22963,22973,22993,23003,23011,
23017,23021,23027,23029,23039,23041,23053,23057,23059,23063,23071,23081,23087,
23099,23117,23131,23143,23159,23167,23173,23189,23197,23201,23203,23209,23227,
23251,23269,23279,23291,23293,23297,23311,23321,23327,23333,23339,23357,23369,
23371,23399,23417,23431,23447,23459,23473,23497,23509,23531,23537,23539,23549,
23557,23561,23563,23567,23581,23593,23599,23603,23609,23623,23627,23629,23633,
23663,23669,23671,23677,23687,23689,23719,23741,23743,23747,23753,23761,23767,
23773,23789,23801,23813,23819,23827,23831,23833,23857,23869,23873,23879,23887,
23893,23899,23909,23911,23917,23929,23957,23971,23977,23981,23993,24001,24007,
24019,24023,24029,24043,24049,24061,24071,24077,24083,24091,24097,24103,24107,
24109,24113,24121,24133,24137,24151,24169,24179,24181,24197,24203,24223,24229,
24239,24247,24251,24281,24317,24329,24337,24359,24371,24373,24379,24391,24407,
24413,24419,24421,24439,24443,24469,24473,24481,24499,24509,24517,24527,24533,
24547,24551,24571,24593,24611,24623,24631,24659,24671,24677,24683,24691,24697,
24709,24733,24749,24763,24767,24781,24793,24799,24809,24821,24841,24847,24851,
24859,24877,24889,24907,24917,24919,24923,24943,24953,24967,24971,24977,24979,
24989,25013,25031,25033,25037,25057,25073,25087,25097,25111,25117,25121,25127,
25147,25153,25163,25169,25171,25183,25189,25219,25229,25237,25243,25247,25253,
25261,25301,25303,25307,25309,25321,25339,25343,25349,25357,25367,25373,25391,
25409,25411,25423,25439,25447,25453,25457,25463,25469,25471,25523,25537,25541,
25561,25577,25579,25583,25589,25601,25603,25609,25621,25633,25639,25643,25657,
25667,25673,25679,25693,25703,25717,25733,25741,25747,25759,25763,25771,25793,
25799,25801,25819,25841,25847,25849,25867,25873,25889,25903,25913,25919,25931,
25933,25939,25943,25951,25969,25981,25997,25999,26003,26017,26021,26029,26041,
26053,26083,26099,26107,26111,26113,26119,26141,26153,26161,26171,26177,26183,
26189,26203,26209,26227,26237,26249,26251,26261,26263,26267,26293,26297,26309,
26317,26321,26339,26347,26357,26371,26387,26393,26399,26407,26417,26423,26431,
26437,26449,26459,26479,26489,26497,26501,26513,26539,26557,26561,26573,26591,
26597,26627,26633,26641,26647,26669,26681,26683,26687,26693,26699,26701,26711,
26713,26717,26723,26729,26731,26737,26759,26777,26783,26801,26813,26821,26833,
26839,26849,26861,26863,26879,26881,26891,26893,26903,26921,26927,26947,26951,
26953,26959,26981,26987,26993,27011,27017,27031,27043,27059,27061,27067,27073,
27077,27091,27103,27107,27109,27127,27143,27179,27191,27197,27211,27239,27241,
27253,27259,27271,27277,27281,27283,27299,27329,27337,27361,27367,27397,27407,
27409,27427,27431,27437,27449,27457,27479,27481,27487,27509,27527,27529,27539,
27541,27551,27581,27583,27611,27617,27631,27647,27653,27673,27689,27691,27697,
27701,27733,27737,27739,27743,27749,27751,27763,27767,27773,27779,27791,27793,
27799,27803,27809,27817,27823,27827,27847,27851,27883,27893,27901,27917,27919,
27941,27943,27947,27953,27961,27967,27983,27997,28001,28019,28027,28031,28051,
28057,28069,28081,28087,28097,28099,28109,28111,28123,28151,28163,28181,28183,
28201,28211,28219,28229,28277,28279,28283,28289,28297,28307,28309,28319,28349,
28351,28387,28393,28403,28409,28411,28429,28433,28439,28447,28463,28477,28493,
28499,28513,28517,28537,28541,28547,28549,28559,28571,28573,28579,28591,28597,
28603,28607,28619,28621,28627,28631,28643,28649,28657,28661,28663,28669,28687,
28697,28703,28711,28723,28729,28751,28753,28759,28771,28789,28793,28807,28813,
28817,28837,28843,28859,28867,28871,28879,28901,28909,28921,28927,28933,28949,
28961,28979,29009,29017,29021,29023,29027,29033,29059,29063,29077,29101,29123,
29129,29131,29137,29147,29153,29167,29173,29179,29191,29201,29207,29209,29221,
29231,29243,29251,29269,29287,29297,29303,29311,29327,29333,29339,29347,29363,
29383,29387,29389,29399,29401,29411,29423,29429,29437,29443,29453,29473,29483,
29501,29527,29531,29537,29567,29569,29573,29581,29587,29599,29611,29629,29633,
29641,29663,29669,29671,29683,29717,29723,29741,29753,29759,29761,29789,29803,
29819,29833,29837,29851,29863,29867,29873,29879,29881,29917,29921,29927,29947,
29959,29983,29989,30011,30013,30029,30047,30059,30071,30089,30091,30097,30103,
30109,30113,30119,30133,30137,30139,30161,30169,30181,30187,30197,30203,30211,
30223,30241,30253,30259,30269,30271,30293,30307,30313,30319,30323,30341,30347,
30367,30389,30391,30403,30427,30431,30449,30467,30469,30491,30493,30497,30509,
30517,30529,30539,30553,30557,30559,30577,30593,30631,30637,30643,30649,30661,
30671,30677,30689,30697,30703,30707,30713,30727,30757,30763,30773,30781,30803,
30809,30817,30829,30839,30841,30851,30853,30859,30869,30871,30881,30893,30911,
30931,30937,30941,30949,30971,30977,30983,31013,31019,31033,31039,31051,31063,
31069,31079,31081,31091,31121,31123,31139,31147,31151,31153,31159,31177,31181,
31183,31189,31193,31219,31223,31231,31237,31247,31249,31253,31259,31267,31271,
31277,31307,31319,31321,31327,31333,31337,31357,31379,31387,31391,31393,31397,
31469,31477,31481,31489,31511,31513,31517,31531,31541,31543,31547,31567,31573,
31583,31601,31607,31627,31643,31649,31657,31663,31667,31687,31699,31721,31723,
31727,31729,31741,31751,31769,31771,31793,31799,31817,31847,31849,31859,31873,
31883,31891,31907,31957,31963,31973,31981,31991,32003,32009,32027,32029,32051,
32057,32059,32063,32069,32077,32083,32089,32099,32117,32119,32141,32143,32159,
32173,32183,32189,32191,32203,32213,32233,32237,32251,32257,32261,32297,32299,
32303,32309,32321,32323,32327,32341,32353,32359,32363,32369,32371,32377,32381,
32401,32411,32413,32423,32429,32441,32443,32467,32479,32491,32497,32503,32507,
32531,32533,32537,32561,32563,32569,32573,32579,32587,32603,32609,32611,32621,
32633,32647,32653,32687,32693,32707,32713,32717,32719,32749,32771,32779,32783,
32789,32797,32801,32803,32831,32833,32839,32843,32869,32887,32909,32911,32917,
32933,32939,32941,32957,32969,32971,32983,32987,32993,32999,33013,33023,33029,
33037,33049,33053,33071,33073,33083,33091,33107,33113,33119,33149,33151,33161,
33179,33181,33191,33199,33203,33211,33223,33247,33287,33289,33301,33311,33317,
33329,33331,33343,33347,33349,33353,33359,33377,33391,33403,33409,33413,33427,
33457,33461,33469,33479,33487,33493,33503,33521,33529,33533,33547,33563,33569,
33577,33581,33587,33589,33599,33601,33613,33617,33619,33623,33629,33637,33641,
33647,33679,33703,33713,33721,33739,33749,33751,33757,33767,33769,33773,33791,
33797,33809,33811,33827,33829,33851,33857,33863,33871,33889,33893,33911,33923,
33931,33937,33941,33961,33967,33997,34019,34031,34033,34039,34057,34061,34123,
34127,34129,34141,34147,34157,34159,34171,34183,34211,34213,34217,34231,34253,
34259,34261,34267,34273,34283,34297,34301,34303,34313,34319,34327,34337,34351,
34361,34367,34369,34381,34403,34421,34429,34439,34457,34469,34471,34483,34487,
34499,34501,34511,34513,34519,34537,34543,34549,34583,34589,34591,34603,34607,
34613,34631,34649,34651,34667,34673,34679,34687,34693,34703,34721,34729,34739,
34747,34757,34759,34763,34781,34807,34819,34841,34843,34847,34849,34871,34877,
34883,34897,34913,34919,34939,34949,34961,34963,34981,35023,35027,35051,35053,
35059,35069,35081,35083,35089,35099,35107,35111,35117,35129,35141,35149,35153,
35159,35171,35201,35221,35227,35251,35257,35267,35279,35281,35291,35311,35317,
35323,35327,35339,35353,35363,35381,35393,35401,35407,35419,35423,35437,35447,
35449,35461,35491,35507,35509,35521,35527,35531,35533,35537,35543,35569,35573,
35591,35593,35597,35603,35617,35671,35677,35729,35731,35747,35753,35759,35771,
35797,35801,35803,35809,35831,35837,35839,35851,35863,35869,35879,35897,35899,
35911,35923,35933,35951,35963,35969,35977,35983,35993,35999,36007,36011,36013,
36017,36037,36061,36067,36073,36083,36097,36107,36109,36131,36137,36151,36161,
36187,36191,36209,36217,36229,36241,36251,36263,36269,36277,36293,36299,36307,
36313,36319,36341,36343,36353,36373,36383,36389,36433,36451,36457,36467,36469,
36473,36479,36493,36497,36523,36527,36529,36541,36551,36559,36563,36571,36583,
36587,36599,36607,36629,36637,36643,36653,36671,36677,36683,36691,36697,36709,
36713,36721,36739,36749,36761,36767,36779,36781,36787,36791,36793,36809,36821,
36833,36847,36857,36871,36877,36887,36899,36901,36913,36919,36923,36929,36931,
36943,36947,36973,36979,36997,37003,37013,37019,37021,37039,37049,37057,37061,
37087,37097,37117,37123,37139,37159,37171,37181,37189,37199,37201,37217,37223,
37243,37253,37273,37277,37307,37309,37313,37321,37337,37339,37357,37361,37363,
37369,37379,37397,37409,37423,37441,37447,37463,37483,37489,37493,37501,37507,
37511,37517,37529,37537,37547,37549,37561,37567,37571,37573,37579,37589,37591,
37607,37619,37633,37643,37649,37657,37663,37691,37693,37699,37717,37747,37781,
37783,37799,37811,37813,37831,37847,37853,37861,37871,37879,37889,37897,37907,
37951,37957,37963,37967,37987,37991,37993,37997,38011,38039,38047,38053,38069,
38083,38113,38119,38149,38153,38167,38177,38183,38189,38197,38201,38219,38231,
38237,38239,38261,38273,38281,38287,38299,38303,38317,38321,38327,38329,38333,
38351,38371,38377,38393,38431,38447,38449,38453,38459,38461,38501,38543,38557,
38561,38567,38569,38593,38603,38609,38611,38629,38639,38651,38653,38669,38671,
38677,38693,38699,38707,38711,38713,38723,38729,38737,38747,38749,38767,38783,
38791,38803,38821,38833,38839,38851,38861,38867,38873,38891,38903,38917,38921,
38923,38933,38953,38959,38971,38977,38993,39019,39023,39041,39043,39047,39079,
39089,39097,39103,39107,39113,39119,39133,39139,39157,39161,39163,39181,39191,
39199,39209,39217,39227,39229,39233,39239,39241,39251,39293,39301,39313,39317,
39323,39341,39343,39359,39367,39371,39373,39383,39397,39409,39419,39439,39443,
39451,39461,39499,39503,39509,39511,39521,39541,39551,39563,39569,39581,39607,
39619,39623,39631,39659,39667,39671,39679,39703,39709,39719,39727,39733,39749,
39761,39769,39779,39791,39799,39821,39827,39829,39839,39841,39847,39857,39863,
39869,39877,39883,39887,39901,39929,39937,39953,39971,39979,39983,39989,40009,
40013,40031,40037,40039,40063,40087,40093,40099,40111,40123,40127,40129,40151,
40153,40163,40169,40177,40189,40193,40213,40231,40237,40241,40253,40277,40283,
40289,40343,40351,40357,40361,40387,40423,40427,40429,40433,40459,40471,40483,
40487,40493,40499,40507,40519,40529,40531,40543,40559,40577,40583,40591,40597,
40609,40627,40637,40639,40693,40697,40699,40709,40739,40751,40759,40763,40771,
40787,40801,40813,40819,40823,40829,40841,40847,40849,40853,40867,40879,40883,
40897,40903,40927,40933,40939,40949,40961,40973,40993,41011,41017,41023,41039,
41047,41051,41057,41077,41081,41113,41117,41131,41141,41143,41149,41161,41177,
41179,41183,41189,41201,41203,41213,41221,41227,41231,41233,41243,41257,41263,
41269,41281,41299,41333,41341,41351,41357,41381,41387,41389,41399,41411,41413,
41443,41453,41467,41479,41491,41507,41513,41519,41521,41539,41543,41549,41579,
41593,41597,41603,41609,41611,41617,41621,41627,41641,41647,41651,41659,41669,
41681,41687,41719,41729,41737,41759,41761,41771,41777,41801,41809,41813,41843,
41849,41851,41863,41879,41887,41893,41897,41903,41911,41927,41941,41947,41953,
41957,41959,41969,41981,41983,41999,42013,42017,42019,42023,42043,42061,42071,
42073,42083,42089,42101,42131,42139,42157,42169,42179,42181,42187,42193,42197,
42209,42221,42223,42227,42239,42257,42281,42283,42293,42299,42307,42323,42331,
42337,42349,42359,42373,42379,42391,42397,42403,42407,42409,42433,42437,42443,
42451,42457,42461,42463,42467,42473,42487,42491,42499,42509,42533,42557,42569,
42571,42577,42589,42611,42641,42643,42649,42667,42677,42683,42689,42697,42701,
42703,42709,42719,42727,42737,42743,42751,42767,42773,42787,42793,42797,42821,
42829,42839,42841,42853,42859,42863,42899,42901,42923,42929,42937,42943,42953,
42961,42967,42979,42989,43003,43013,43019,43037,43049,43051,43063,43067,43093,
43103,43117,43133,43151,43159,43177,43189,43201,43207,43223,43237,43261,43271,
43283,43291,43313,43319,43321,43331,43391,43397,43399,43403,43411,43427,43441,
43451,43457,43481,43487,43499,43517,43541,43543,43573,43577,43579,43591,43597,
43607,43609,43613,43627,43633,43649,43651,43661,43669,43691,43711,43717,43721,
43753,43759,43777,43781,43783,43787,43789,43793,43801,43853,43867,43889,43891,
43913,43933,43943,43951,43961,43963,43969,43973,43987,43991,43997,44017,44021,
44027,44029,44041,44053,44059,44071,44087,44089,44101,44111,44119,44123,44129,
44131,44159,44171,44179,44189,44201,44203,44207,44221,44249,44257,44263,44267,
44269,44273,44279,44281,44293,44351,44357,44371,44381,44383,44389,44417,44449,
44453,44483,44491,44497,44501,44507,44519,44531,44533,44537,44543,44549,44563,
44579,44587,44617,44621,44623,44633,44641,44647,44651,44657,44683,44687,44699,
44701,44711,44729,44741,44753,44771,44773,44777,44789,44797,44809,44819,44839,
44843,44851,44867,44879,44887,44893,44909,44917,44927,44939,44953,44959,44963,
44971,44983,44987,45007,45013,45053,45061,45077,45083,45119,45121,45127,45131,
45137,45139,45161,45179,45181,45191,45197,45233,45247,45259,45263,45281,45289,
45293,45307,45317,45319,45329,45337,45341,45343,45361,45377,45389,45403,45413,
45427,45433,45439,45481,45491,45497,45503,45523,45533,45541,45553,45557,45569,
45587,45589,45599,45613,45631,45641,45659,45667,45673,45677,45691,45697,45707,
45737,45751,45757,45763,45767,45779,45817,45821,45823,45827,45833,45841,45853,
45863,45869,45887,45893,45943,45949,45953,45959,45971,45979,45989,46021,46027,
46049,46051,46061,46073,46091,46093,46099,46103,46133,46141,46147,46153,46171,
46181,46183,46187,46199,46219,46229,46237,46261,46271,46273,46279,46301,46307,
46309,46327,46337,46349,46351,46381,46399,46411,46439,46441,46447,46451,46457,
46471,46477,46489,46499,46507,46511,46523,46549,46559,46567,46573,46589,46591,
46601,46619,46633,46639,46643,46649,46663,46679,46681,46687,46691,46703,46723,
46727,46747,46751,46757,46769,46771,46807,46811,46817,46819,46829,46831,46853,
46861,46867,46877,46889,46901,46919,46933,46957,46993,46997,47017,47041,47051,
47057,47059,47087,47093,47111,47119,47123,47129,47137,47143,47147,47149,47161,
47189,47207,47221,47237,47251,47269,47279,47287,47293,47297,47303,47309,47317,
47339,47351,47353,47363,47381,47387,47389,47407,47417,47419,47431,47441,47459,
47491,47497,47501,47507,47513,47521,47527,47533,47543,47563,47569,47581,47591,
47599,47609,47623,47629,47639,47653,47657,47659,47681,47699,47701,47711,47713,
47717,47737,47741,47743,47777,47779,47791,47797,47807,47809,47819,47837,47843,
47857,47869,47881,47903,47911,47917,47933,47939,47947,47951,47963,47969,47977,
47981,48017,48023,48029,48049,48073,48079,48091,48109,48119,48121,48131,48157,
48163,48179,48187,48193,48197,48221,48239,48247,48259,48271,48281,48299,48311,
48313,48337,48341,48353,48371,48383,48397,48407,48409,48413,48437,48449,48463,
48473,48479,48481,48487,48491,48497,48523,48527,48533,48539,48541,48563,48571,
48589,48593,48611,48619,48623,48647,48649,48661,48673,48677,48679,48731,48733,
48751,48757,48761,48767,48779,48781,48787,48799,48809,48817,48821,48823,48847,
48857,48859,48869,48871,48883,48889,48907,48947,48953,48973,48989,48991,49003,
49009,49019,49031,49033,49037,49043,49057,49069,49081,49103,49109,49117,49121,
49123,49139,49157,49169,49171,49177,49193,49199,49201,49207,49211,49223,49253,
49261,49277,49279,49297,49307,49331,49333,49339,49363,49367,49369,49391,49393,
49409,49411,49417,49429,49433,49451,49459,49463,49477,49481,49499,49523,49529,
49531,49537,49547,49549,49559,49597,49603,49613,49627,49633,49639,49663,49667,
49669,49681,49697,49711,49727,49739,49741,49747,49757,49783,49787,49789,49801,
49807,49811,49823,49831,49843,49853,49871,49877,49891,49919,49921,49927,49937,
49939,49943,49957,49991,49993,49999,50021,50023,50033,50047,50051,50053,50069,
50077,50087,50093,50101,50111,50119,50123,50129,50131,50147,50153,50159,50177,
50207,50221,50227,50231,50261,50263,50273,50287,50291,50311,50321,50329,50333,
50341,50359,50363,50377,50383,50387,50411,50417,50423,50441,50459,50461,50497,
50503,50513,50527,50539,50543,50549,50551,50581,50587,50591,50593,50599,50627,
50647,50651,50671,50683,50707,50723,50741,50753,50767,50773,50777,50789,50821,
50833,50839,50849,50857,50867,50873,50891,50893,50909,50923,50929,50951,50957,
50969,50971,50989,50993,51001,51031,51043,51047,51059,51061,51071,51109,51131,
51133,51137,51151,51157,51169,51193,51197,51199,51203,51217,51229,51239,51241,
51257,51263,51283,51287,51307,51329,51341,51343,51347,51349,51361,51383,51407,
51413,51419,51421,51427,51431,51437,51439,51449,51461,51473,51479,51481,51487,
51503,51511,51517,51521,51539,51551,51563,51577,51581,51593,51599,51607,51613,
51631,51637,51647,51659,51673,51679,51683,51691,51713,51719,51721,51749,51767,
51769,51787,51797,51803,51817,51827,51829,51839,51853,51859,51869,51871,51893,
51899,51907,51913,51929,51941,51949,51971,51973,51977,51991,52009,52021,52027,
52051,52057,52067,52069,52081,52103,52121,52127,52147,52153,52163,52177,52181,
52183,52189,52201,52223,52237,52249,52253,52259,52267,52289,52291,52301,52313,
52321,52361,52363,52369,52379,52387,52391,52433,52453,52457,52489,52501,52511,
52517,52529,52541,52543,52553,52561,52567,52571,52579,52583,52609,52627,52631,
52639,52667,52673,52691,52697,52709,52711,52721,52727,52733,52747,52757,52769,
52783,52807,52813,52817,52837,52859,52861,52879,52883,52889,52901,52903,52919,
52937,52951,52957,52963,52967,52973,52981,52999,53003,53017,53047,53051,53069,
53077,53087,53089,53093,53101,53113,53117,53129,53147,53149,53161,53171,53173,
53189,53197,53201,53231,53233,53239,53267,53269,53279,53281,53299,53309,53323,
53327,53353,53359,53377,53381,53401,53407,53411,53419,53437,53441,53453,53479,
53503,53507,53527,53549,53551,53569,53591,53593,53597,53609,53611,53617,53623,
53629,53633,53639,53653,53657,53681,53693,53699,53717,53719,53731,53759,53773,
53777,53783,53791,53813,53819,53831,53849,53857,53861,53881,53887,53891,53897,
53899,53917,53923,53927,53939,53951,53959,53987,53993,54001,54011,54013,54037,
54049,54059,54083,54091,54101,54121,54133,54139,54151,54163,54167,54181,54193,
54217,54251,54269,54277,54287,54293,54311,54319,54323,54331,54347,54361,54367,
54371,54377,54401,54403,54409,54413,54419,54421,54437,54443,54449,54469,54493,
54497,54499,54503,54517,54521,54539,54541,54547,54559,54563,54577,54581,54583,
54601,54617,54623,54629,54631,54647,54667,54673,54679,54709,54713,54721,54727,
54751,54767,54773,54779,54787,54799,54829,54833,54851,54869,54877,54881,54907,
54917,54919,54941,54949,54959,54973,54979,54983,55001,55009,55021,55049,55051,
55057,55061,55073,55079,55103,55109,55117,55127,55147,55163,55171,55201,55207,
55213,55217,55219,55229,55243,55249,55259,55291,55313,55331,55333,55337,55339,
55343,55351,55373,55381,55399,55411,55439,55441,55457,55469,55487,55501,55511,
55529,55541,55547,55579,55589,55603,55609,55619,55621,55631,55633,55639,55661,
55663,55667,55673,55681,55691,55697,55711,55717,55721,55733,55763,55787,55793,
55799,55807,55813,55817,55819,55823,55829,55837,55843,55849,55871,55889,55897,
55901,55903,55921,55927,55931,55933,55949,55967,55987,55997,56003,56009,56039,
56041,56053,56081,56087,56093,56099,56101,56113,56123,56131,56149,56167,56171,
56179,56197,56207,56209,56237,56239,56249,56263,56267,56269,56299,56311,56333,
56359,56369,56377,56383,56393,56401,56417,56431,56437,56443,56453,56467,56473,
56477,56479,56489,56501,56503,56509,56519,56527,56531,56533,56543,56569,56591,
56597,56599,56611,56629,56633,56659,56663,56671,56681,56687,56701,56711,56713,
56731,56737,56747,56767,56773,56779,56783,56807,56809,56813,56821,56827,56843,
56857,56873,56891,56893,56897,56909,56911,56921,56923,56929,56941,56951,56957,
56963,56983,56989,56993,56999,57037,57041,57047,57059,57073,57077,57089,57097,
57107,57119,57131,57139,57143,57149,57163,57173,57179,57191,57193,57203,57221,
57223,57241,57251,57259,57269,57271,57283,57287,57301,57329,57331,57347,57349,
57367,57373,57383,57389,57397,57413,57427,57457,57467,57487,57493,57503,57527,
57529,57557,57559,57571,57587,57593,57601,57637,57641,57649,57653,57667,57679,
57689,57697,57709,57713,57719,57727,57731,57737,57751,57773,57781,57787,57791,
57793,57803,57809,57829,57839,57847,57853,57859,57881,57899,57901,57917,57923,
57943,57947,57973,57977,57991,58013,58027,58031,58043,58049,58057,58061,58067,
58073,58099,58109,58111,58129,58147,58151,58153,58169,58171,58189,58193,58199,
58207,58211,58217,58229,58231,58237,58243,58271,58309,58313,58321,58337,58363,
58367,58369,58379,58391,58393,58403,58411,58417,58427,58439,58441,58451,58453,
58477,58481,58511,58537,58543,58549,58567,58573,58579,58601,58603,58613,58631,
58657,58661,58679,58687,58693,58699,58711,58727,58733,58741,58757,58763,58771,
58787,58789,58831,58889,58897,58901,58907,58909,58913,58921,58937,58943,58963,
58967,58979,58991,58997,59009,59011,59021,59023,59029,59051,59053,59063,59069,
59077,59083,59093,59107,59113,59119,59123,59141,59149,59159,59167,59183,59197,
59207,59209,59219,59221,59233,59239,59243,59263,59273,59281,59333,59341,59351,
59357,59359,59369,59377,59387,59393,59399,59407,59417,59419,59441,59443,59447,
59453,59467,59471,59473,59497,59509,59513,59539,59557,59561,59567,59581,59611,
59617,59621,59627,59629,59651,59659,59663,59669,59671,59693,59699,59707,59723,
59729,59743,59747,59753,59771,59779,59791,59797,59809,59833,59863,59879,59887,
59921,59929,59951,59957,59971,59981,59999,60013,60017,60029,60037,60041,60077,
60083,60089,60091,60101,60103,60107,60127,60133,60139,60149,60161,60167,60169,
60209,60217,60223,60251,60257,60259,60271,60289,60293,60317,60331,60337,60343,
60353,60373,60383,60397,60413,60427,60443,60449,60457,60493,60497,60509,60521,
60527,60539,60589,60601,60607,60611,60617,60623,60631,60637,60647,60649,60659,
60661,60679,60689,60703,60719,60727,60733,60737,60757,60761,60763,60773,60779,
60793,60811,60821,60859,60869,60887,60889,60899,60901,60913,60917,60919,60923,
60937,60943,60953,60961,61001,61007,61027,61031,61043,61051,61057,61091,61099,
61121,61129,61141,61151,61153,61169,61211,61223,61231,61253,61261,61283,61291,
61297,61331,61333,61339,61343,61357,61363,61379,61381,61403,61409,61417,61441,
61463,61469,61471,61483,61487,61493,61507,61511,61519,61543,61547,61553,61559,
61561,61583,61603,61609,61613,61627,61631,61637,61643,61651,61657,61667,61673,
61681,61687,61703,61717,61723,61729,61751,61757,61781,61813,61819,61837,61843,
61861,61871,61879,61909,61927,61933,61949,61961,61967,61979,61981,61987,61991,
62003,62011,62017,62039,62047,62053,62057,62071,62081,62099,62119,62129,62131,
62137,62141,62143,62171,62189,62191,62201,62207,62213,62219,62233,62273,62297,
62299,62303,62311,62323,62327,62347,62351,62383,62401,62417,62423,62459,62467,
62473,62477,62483,62497,62501,62507,62533,62539,62549,62563,62581,62591,62597,
62603,62617,62627,62633,62639,62653,62659,62683,62687,62701,62723,62731,62743,
62753,62761,62773,62791,62801,62819,62827,62851,62861,62869,62873,62897,62903,
62921,62927,62929,62939,62969,62971,62981,62983,62987,62989,63029,63031,63059,
63067,63073,63079,63097,63103,63113,63127,63131,63149,63179,63197,63199,63211,
63241,63247,63277,63281,63299,63311,63313,63317,63331,63337,63347,63353,63361,
63367,63377,63389,63391,63397,63409,63419,63421,63439,63443,63463,63467,63473,
63487,63493,63499,63521,63527,63533,63541,63559,63577,63587,63589,63599,63601,
63607,63611,63617,63629,63647,63649,63659,63667,63671,63689,63691,63697,63703,
63709,63719,63727,63737,63743,63761,63773,63781,63793,63799,63803,63809,63823,
63839,63841,63853,63857,63863,63901,63907,63913,63929,63949,63977,63997,64007,
64013,64019,64033,64037,64063,64067,64081,64091,64109,64123,64151,64153,64157,
64171,64187,64189,64217,64223,64231,64237,64271,64279,64283,64301,64303,64319,
64327,64333,64373,64381,64399,64403,64433,64439,64451,64453,64483,64489,64499,
64513,64553,64567,64577,64579,64591,64601,64609,64613,64621,64627,64633,64661,
64663,64667,64679,64693,64709,64717,64747,64763,64781,64783,64793,64811,64817,
64849,64853,64871,64877,64879,64891,64901,64919,64921,64927,64937,64951,64969,
64997,65003,65011,65027,65029,65033,65053,65063,65071,65089,65099,65101,65111,
65119,65123,65129,65141,65147,65167,65171,65173,65179,65183,65203,65213,65239,
65257,65267,65269,65287,65293,65309,65323,65327,65353,65357,65371,65381,65393,
65407,65413,65419,65423,65437,65447,65449,65479,65497,65519,65521,65537
};
/* pr_limit - largest prime in the prime table */
const ubig *pr_limit = &prime[(sizeof(prime)/sizeof(prime[0]))-1];

95
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.\" $NetBSD: primes.6,v 1.3 2008/02/03 03:29:17 wiz Exp $
.\"
.\" Copyright (c) 1989, 1993
.\" The Regents of the University of California. All rights reserved.
.\"
.\" This code is derived from software contributed to Berkeley by
.\" Landon Curt Noll.
.\"
.\" Redistribution and use in source and binary forms, with or without
.\" modification, are permitted provided that the following conditions
.\" are met:
.\" 1. Redistributions of source code must retain the above copyright
.\" notice, this list of conditions and the following disclaimer.
.\" 2. Redistributions in binary form must reproduce the above copyright
.\" notice, this list of conditions and the following disclaimer in the
.\" documentation and/or other materials provided with the distribution.
.\" 3. Neither the name of the University nor the names of its contributors
.\" may be used to endorse or promote products derived from this software
.\" without specific prior written permission.
.\"
.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
.\" SUCH DAMAGE.
.\"
.\" @(#)factor.6 8.1 (Berkeley) 5/31/93
.\"
.\"
.\" By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
.\"
.\" chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
.\"
.Dd February 3, 2008
.Dt PRIMES 6
.Os
.Sh NAME
.Nm primes
.Nd generate primes
.Sh SYNOPSIS
.Nm primes
.Op Fl d
.Op Ar start Op Ar stop
.Sh DESCRIPTION
The
.Nm
utility prints primes in ascending order, one per line, starting
at or above
.Ar start
and continuing until, but not including
.Ar stop .
The
.Ar start
value must be at least 0 and not greater than
.Ar stop .
The
.Ar stop
value must not be greater than 4294967295.
The default value of
.Ar stop
is 4294967295.
.Pp
When the
.Nm
utility is invoked with no arguments,
.Ar start
is read from standard input.
.Ar stop
is taken to be 4294967295.
The
.Ar start
value may be preceded by a single
.Sq \&+ .
The
.Ar start
value is terminated by a non-digit character (such as a newline).
The input line must not be longer than 255 characters.
When given the
.Fl d
argument,
.Nm
prints the difference between the current and the previous prime.
.Sh DIAGNOSTICS
Out of range or invalid input results in
an appropriate error message
being written to standard error.
.Sh BUGS
.Nm
won't get you a world record.

352
games/primes/primes.c Normal file
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@ -0,0 +1,352 @@
/* $NetBSD: primes.c,v 1.19 2011/08/30 02:58:04 jakllsch Exp $ */
/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* This code is derived from software contributed to Berkeley by
* Landon Curt Noll.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <sys/cdefs.h>
#ifndef lint
__COPYRIGHT("@(#) Copyright (c) 1989, 1993\
The Regents of the University of California. All rights reserved.");
#endif /* not lint */
#ifndef lint
#if 0
static char sccsid[] = "@(#)primes.c 8.5 (Berkeley) 5/10/95";
#else
__RCSID("$NetBSD: primes.c,v 1.19 2011/08/30 02:58:04 jakllsch Exp $");
#endif
#endif /* not lint */
/*
* primes - generate a table of primes between two values
*
* By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
*
* chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
*
* usage:
* primes [start [stop]]
*
* Print primes >= start and < stop. If stop is omitted,
* the value 4294967295 (2^32-1) is assumed. If start is
* omitted, start is read from standard input.
*
* validation check: there are 664579 primes between 0 and 10^7
*/
#include <ctype.h>
#include <err.h>
#include <errno.h>
#include <limits.h>
#include <math.h>
#include <memory.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include "primes.h"
/*
* Eratosthenes sieve table
*
* We only sieve the odd numbers. The base of our sieve windows are always
* odd. If the base of table is 1, table[i] represents 2*i-1. After the
* sieve, table[i] == 1 if and only iff 2*i-1 is prime.
*
* We make TABSIZE large to reduce the overhead of inner loop setup.
*/
static char table[TABSIZE]; /* Eratosthenes sieve of odd numbers */
/*
* prime[i] is the (i-1)th prime.
*
* We are able to sieve 2^32-1 because this byte table yields all primes
* up to 65537 and 65537^2 > 2^32-1.
*/
extern const ubig prime[];
extern const ubig *pr_limit; /* largest prime in the prime array */
/*
* To avoid excessive sieves for small factors, we use the table below to
* setup our sieve blocks. Each element represents a odd number starting
* with 1. All non-zero elements are factors of 3, 5, 7, 11 and 13.
*/
extern const char pattern[];
extern const int pattern_size; /* length of pattern array */
static int dflag;
static void primes(ubig, ubig);
static ubig read_num_buf(void);
static void usage(void) __dead;
int
main(int argc, char *argv[])
{
ubig start; /* where to start generating */
ubig stop; /* don't generate at or above this value */
int ch;
char *p;
while ((ch = getopt(argc, argv, "d")) != -1)
switch (ch) {
case 'd':
dflag++;
break;
case '?':
default:
usage();
}
argc -= optind;
argv += optind;
start = 0;
stop = BIG;
/*
* Convert low and high args. Strtoul(3) sets errno to
* ERANGE if the number is too large, but, if there's
* a leading minus sign it returns the negation of the
* result of the conversion, which we'd rather disallow.
*/
switch (argc) {
case 2:
/* Start and stop supplied on the command line. */
if (argv[0][0] == '-' || argv[1][0] == '-')
errx(1, "negative numbers aren't permitted.");
errno = 0;
start = strtoul(argv[0], &p, 10);
if (errno)
err(1, "%s", argv[0]);
if (*p != '\0')
errx(1, "%s: illegal numeric format.", argv[0]);
errno = 0;
stop = strtoul(argv[1], &p, 10);
if (errno)
err(1, "%s", argv[1]);
if (*p != '\0')
errx(1, "%s: illegal numeric format.", argv[1]);
break;
case 1:
/* Start on the command line. */
if (argv[0][0] == '-')
errx(1, "negative numbers aren't permitted.");
errno = 0;
start = strtoul(argv[0], &p, 10);
if (errno)
err(1, "%s", argv[0]);
if (*p != '\0')
errx(1, "%s: illegal numeric format.", argv[0]);
break;
case 0:
start = read_num_buf();
break;
default:
usage();
}
if (start > stop)
errx(1, "start value must be less than stop value.");
primes(start, stop);
exit(0);
}
/*
* read_num_buf --
* This routine returns a number n, where 0 <= n && n <= BIG.
*/
ubig
read_num_buf(void)
{
ubig val;
char *p, buf[100]; /* > max number of digits. */
for (;;) {
if (fgets(buf, sizeof(buf), stdin) == NULL) {
if (ferror(stdin))
err(1, "stdin");
exit(0);
}
for (p = buf; isblank((unsigned char)*p); ++p);
if (*p == '\n' || *p == '\0')
continue;
if (*p == '-')
errx(1, "negative numbers aren't permitted.");
errno = 0;
val = strtoul(buf, &p, 10);
if (errno)
err(1, "%s", buf);
if (*p != '\n')
errx(1, "%s: illegal numeric format.", buf);
return (val);
}
}
/*
* primes - sieve and print primes from start up to and but not including stop
*
* start where to start generating
* stop don't generate at or above this value
*/
void
primes(ubig start, ubig stop)
{
char *q; /* sieve spot */
ubig factor; /* index and factor */
char *tab_lim; /* the limit to sieve on the table */
const ubig *p; /* prime table pointer */
ubig fact_lim; /* highest prime for current block */
ubig mod; /* temp storage for mod */
ubig prev = 0;
/*
* A number of systems can not convert double values into unsigned
* longs when the values are larger than the largest signed value.
* We don't have this problem, so we can go all the way to BIG.
*/
if (start < 3) {
start = (ubig)2;
}
if (stop < 3) {
stop = (ubig)2;
}
if (stop <= start) {
return;
}
/*
* be sure that the values are odd, or 2
*/
if (start != 2 && (start&0x1) == 0) {
++start;
}
if (stop != 2 && (stop&0x1) == 0) {
++stop;
}
/*
* quick list of primes <= pr_limit
*/
if (start <= *pr_limit) {
/* skip primes up to the start value */
for (p = &prime[0], factor = prime[0];
factor < stop && p <= pr_limit; factor = *(++p)) {
if (factor >= start) {
printf("%lu", (unsigned long) factor);
if (dflag) {
printf(" (%lu)",
(unsigned long) factor - prev);
}
putchar('\n');
}
prev = factor;
}
/* return early if we are done */
if (p <= pr_limit) {
return;
}
start = *pr_limit+2;
}
/*
* we shall sieve a bytemap window, note primes and move the window
* upward until we pass the stop point
*/
while (start < stop) {
/*
* factor out 3, 5, 7, 11 and 13
*/
/* initial pattern copy */
factor = (start%(2*3*5*7*11*13))/2; /* starting copy spot */
memcpy(table, &pattern[factor], pattern_size-factor);
/* main block pattern copies */
for (fact_lim=pattern_size-factor;
fact_lim+pattern_size<=TABSIZE; fact_lim+=pattern_size) {
memcpy(&table[fact_lim], pattern, pattern_size);
}
/* final block pattern copy */
memcpy(&table[fact_lim], pattern, TABSIZE-fact_lim);
/*
* sieve for primes 17 and higher
*/
/* note highest useful factor and sieve spot */
if (stop-start > TABSIZE+TABSIZE) {
tab_lim = &table[TABSIZE]; /* sieve it all */
fact_lim = sqrt((double)(start)+TABSIZE+TABSIZE+1.0);
} else {
tab_lim = &table[(stop-start)/2]; /* partial sieve */
fact_lim = sqrt((double)(stop)+1.0);
}
/* sieve for factors >= 17 */
factor = 17; /* 17 is first prime to use */
p = &prime[7]; /* 19 is next prime, pi(19)=7 */
do {
/* determine the factor's initial sieve point */
mod = start%factor;
if (mod & 0x1) {
q = &table[(factor-mod)/2];
} else {
q = &table[mod ? factor-(mod/2) : 0];
}
/* sieve for our current factor */
for ( ; q < tab_lim; q += factor) {
*q = '\0'; /* sieve out a spot */
}
} while ((factor=(ubig)(*(p++))) <= fact_lim);
/*
* print generated primes
*/
for (q = table; q < tab_lim; ++q, start+=2) {
if (*q) {
printf("%lu", (unsigned long) start);
if (dflag) {
printf(" (%lu)",
(unsigned long) start - prev);
prev = start;
}
putchar('\n');
}
}
}
}
void
usage(void)
{
(void)fprintf(stderr, "usage: primes [-d] [start [stop]]\n");
exit(1);
}

50
games/primes/primes.h Normal file
View file

@ -0,0 +1,50 @@
/* $NetBSD: primes.h,v 1.5 2003/08/07 09:37:34 agc Exp $ */
/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* This code is derived from software contributed to Berkeley by
* Landon Curt Noll.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* @(#)primes.h 8.2 (Berkeley) 3/1/94
*/
/*
* primes - generate a table of primes between two values
*
* By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
*
* chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
*/
/* ubig is the type that holds a large unsigned value */
typedef unsigned long ubig; /* must be >=32 bit unsigned value */
#define BIG ULONG_MAX /* largest value will sieve */
/* bytes in sieve table (must be > 3*5*7*11) */
#define TABSIZE 256*1024

View file

@ -71,6 +71,7 @@
2013/12/1 12:00:00,games/adventure
2013/12/1 12:00:00,games/Makefile
2013/12/1 12:00:00,games/Makefile.inc
2013/12/1 12:00:00,games/primes
2013/12/1 12:00:00,gnu/dist/texinfo
2013/12/1 12:00:00,gnu/usr.bin/texinfo
2013/12/1 12:00:00,gnu/Makefile