数学题,证明可以看DISCUSS.
#include <stdio.h>
#include <math.h>

const int MAX = 50000;

int prime[MAX];

int number[MAX];

int find ( int n )
  {
number[0] = number[1] = 1;
for ( int i=2; i<=n; i++ )
 {
number[i] = 0;
}
for ( int j=2; j<=n; j++ )
 {
for ( int z=j+j; z<=n; z+=j )
 {
if ( ! number[z] )
 {
number[z] = 1;
}
}
}
int p = 0;
for ( i=0; i<=n; i++ )
 {
if ( !number[i] )
 {
prime[p++] = i;
}
}
return p;
}

int num[MAX];
int pre;

int f ( int n, int len )
  {
int l, r, mid;
int flag = 1;
int n2 = ( int )( sqrt ( (double)n ) ) + 1;
l = 0;
r = len - 1;
while ( l<=r )
 {
mid = ( l + r ) / 2;
if ( prime[mid] > n2 )
 {
r = mid - 1;
}
else
 {
l = mid + 1;
}
}
for ( int i=0; i<=r; i++ )
 {
if ( ! ( n % prime[i] ) )
 {
flag = 0;
while ( ! ( n % prime[i] ) )
 {
num[pre++] = prime[i];
n /= prime[i];
}
break;
}
}
if ( flag )
 {
num[pre++] = n;
n = 1;
}
return n;
}

int main ()
  {
int t;
int n;
int i, j;
int len = find ( MAX );
while ( scanf ( "%d", &t ) != EOF )
 {
for ( j=1; j<=t; j++ )
 {
int in;
scanf ( "%d%d", &in, &n );
pre = 0;
while ( n != 1 )
 {
n = f ( n, len );
}
for ( i=0; i<pre; i++ )
 {
if ( num[i] != 2 )
 {
break;
}
}
printf ( "%d ", j );
if ( i >= pre )
 {
printf ( "0\n" );
}
else
 {
int ans = 1;
int count = 1;
for ( i++ ; i<pre; i++ )
 {
if ( num[i] != num[i-1] )
 {
ans *= ( count + 1 );
count = 1;
}
else
 {
count ++;
}
}
ans *= ( count + 1 );
printf ( "%d\n", ans-1 );
}
}
}
return 0;
}

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