求从(0, 0 ) 到 ( n - 1, n - 1 ) 有几种不同的方式。。。
dp[i][j]表示到i, j位置处有几种方式
tmp = data[i][j];
dp[i + tmp][j] += dp[i][j]
dp[i][j + tmp] += dp[i][j]
#include <stdio.h>
#include <string.h>
#include <iostream>
using namespace std;
int ct, tmp, data[40][40];
__int64 dp[40][40];
int main ( ) {
while ( scanf ( "%d", &ct ) && ct + 1 ) {
for ( int i = 0; i < ct; ++i )
for ( int j = 0; j < ct; ++j )
scanf ( "%1d", &data[i][j] );
memset ( dp, 0, sizeof ( dp ) );
dp[0][0] = 1;
for ( int i = 0; i < ct; ++i )
for ( int j = 0; j < ct; ++j ) {
if ( data[i][j] == 0 ) continue;
dp[i + data[i][j]][j] += dp[i][j];
dp[i][j + data[i][j]] += dp[i][j];
}
printf ( "%I64dn", dp[ct - 1][ct - 1] );
}
}