未过样例的DP,求助。
#include <iostream>
#include <cstdio>
#include <cstring>
using namespace std;
typedef long long ll;
int n, K;
bool a[55][55];
ll dp[55][55][4][2] = {{{{0}}}};//0朝下,1朝右
void init() {
memset(a, 0, sizeof a);
memset(dp, 0, sizeof dp);
cin >> n >> K;
char c;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++) {
cin >> c;
a[i][j] = (c == '.');
}
}
void solve () {
init();
dp[1][1][0][1] = dp[1][1][0][0] = 1;
for (int i = 2; i <= n && a[i][1]; i++)
dp[i][1][0][0] = 1, dp[i][1][1][1] = 1;
for (int i = 2; i <= n && a[1][i]; i++)
dp[1][i][0][1] = 1, dp[1][i][1][0] = 1;
for (int i = 2; i <= n; i++)
for (int j = 2; j <= n; j++)
for (int k = 1; k <= K; k++) {
if (!a[i][j])continue;
dp[i][j][k][1] = dp[i][j - 1][k][1];
dp[i][j][k][0] = dp[i - 1][j][k][0];
if (k > 0) {
dp[i][j][k][1] += dp[i - 1][j][k - 1][0];
dp[i][j][k][0] += dp[i][j - 1][k - 1][1];
}
// printf("%d %d %d %d %d\n", i, j, k, dp[i][j][k][0], dp[i][j][k][1]);
}
ll ans = 0;
for (int i = 1; i <= K; i++)
ans += dp[n][n][i][0] + dp[n][n][i][1];
cout << ans << endl;
}
int main() {
int T;
cin >> T;
while(T--)
solve();
return 0;
}