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#include
#include
#include "gmp.h"
FILE *pf=fopen("data.txt","w");
const int L=8;
int count=3;
unsigned prime[]={
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
};
unsigned p_prime[]={
7,11,31,41,43,53,61,71,73,83,97,211,311,331,
421,431,433,443,521,541,557,631,641,643,653,
661,733,743,751,761,773,811,821,853,863,877,
881,883,887,911,941,953,971,977,983,991,997
};
mpz_t Hash[10][L], Prime_Product, com_factor;
void Init( ){
int i, j;
for( i=0; i<10; ++i ){
for( j=0; j
mpz_init_set_ui( Hash[i][j], (i==0)? 0 : i );
}
for( i=1; i<10; ++i ){
for( j=1; j
mpz_mul_ui( Hash[i][j], Hash[i][j-1], 10 );
}
mpz_init_set_ui( Prime_Product, 1 );
mpz_init( com_factor );
for( i=0; i
mpz_mul_ui( Prime_Product, Prime_Product, prime[i] );
}
void Clear( ){
mpz_clear( Prime_Product );
mpz_clear( com_factor );
for( int i=0; i<10; ++i ){
for( int j=0; j
mpz_clear( Hash[i][j] );
}
fclose( pf );
}
void Specail_Print( ){
fprintf(pf,"2\n3\n5\n");
for( int k=0; k
fprintf(pf,"%u\n",p_prime[k]), ++count;
}
void combination( int n, int m ){
mpz_t num;
mpz_init_set_ui( num, 0 );
unsigned *c=new unsigned[m+2], j, dig_sum=m;
for( j=1; j<=m; ++j ) c[j]=j-1, mpz_add( num, num, Hash[1][j-1] );
c[m+1]=n;
R2:
if( c[1]%2==0 && c[1]+1!=5 && dig_sum%3!=0 ){
mpz_gcd( com_factor, num, Prime_Product );
if( mpz_cmp_ui( com_factor, 1 )==0 && mpz_probab_prime_p( num, 1 ) ){
mpz_out_str( pf, 10, num );
fprintf(pf,"\n");
++count;
}
}
if( m&1 )
if( c[1]+1
++c[1];
mpz_add_ui( num, num, 1 );
++dig_sum;
goto R2;
}
else{
j=2; goto R4;
}
else
if( c[1]>0 ){
--c[1];
mpz_sub_ui( num, num, 1 );
--dig_sum;
goto R2;
}
else{
j=2; goto R5;
};
R4: if( c[j]>=j ){
if( j<=m )
mpz_sub( num, num, Hash[c[j]-j+2][j-1] ), dig_sum-=c[j]-j+2;
if( j-1<=m )
mpz_sub( num, num, Hash[c[j-1]-j+3][j-2] ), dig_sum-=c[j-1]-j+3;
c[j]=c[j-1];
c[j-1]=j-2;
if( j<=m )
mpz_add( num, num, Hash[c[j]-j+2][j-1] ), dig_sum+=c[j]-j+2;
if( j-1<=m )
mpz_add( num, num, Hash[c[j-1]-j+3][j-2] ), dig_sum+=c[j-1]-j+3;
goto R2;
}
else
++j;
R5: if( c[j]+1
if( j<=m )
mpz_sub( num, num, Hash[c[j]-j+2][j-1] ), dig_sum-=c[j]-j+2;
if( j-1<=m )
mpz_sub( num, num, Hash[c[j-1]-j+3][j-2] ), dig_sum-=c[j-1]-j+3;
c[j-1]=c[j];
c[j]=c[j]+1;
if( j<=m )
mpz_add( num, num, Hash[c[j]-j+2][j-1] ), dig_sum+=c[j]-j+2;
if( j-1<=m )
mpz_add( num, num, Hash[c[j-1]-j+3][j-2] ), dig_sum+=c[j-1]-j+3;
goto R2;
}
else{
++j;
if( j<=m ) goto R4;
}
delete []c;
mpz_clear( num );
}
int main(int argc, char *argv[])
{
Init( );
Specail_Print( );
int time=GetTickCount();
for( int i=4; i<=L; ++i )
combination( i+8, i );
Clear( );
printf("total : %d\n",count);
printf("%d ms\n",GetTickCount()-time);
return 0;
}
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