This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define PB push_back
#define FI first
#define ND second
#define maxeq(x, y) (x) = max((x), (y))
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
int score[20];
const int maxFrameScore[11] = {0, 10, 30, 60, 90, 120, 150, 180, 210, 240, 300};
ll dp[15][500][12][12];
string game;
bool cmp(int i, char c1, char c2) {
return (game[2*(i-1)] == '?' || game[2*(i-1)] == c1) && (game[2*(i-1)+1] == '?' || game[2*(i-1)+1] == c2);
}
bool scorecmp(int i, int s) {
return score[i] == -1 || score[i] == s;
}
void fun() {
int n;
cin >> n;
cin >> game;
game += "?";
for (int i = 1; i <= n; i++) {
cin >> score[i];
}
for (int i = 0; i < 15; i++)
for (int s = 0; s < 500; s++)
for (int p = 0; p <= 10; p++)
for (int d = 0; d <= 10; d++)
dp[i][s][p][d] = 0;
for (int p = 0; p <= 10; p++) {
for (int d = 0; d <= 10; d++) {
dp[0][0][p][d] = 1;
}
}
for (int i = 1; i < n; i++) {
for (int s = 0; s <= maxFrameScore[i] + 30; s++) {
if (!scorecmp(i, s))
continue;
for (int p = 0; p <= 10; p++) {
for (int d = 0; d <= 10; d++) {
// Strike
if (s >= 10 + d + p && cmp(i, 'x', '-'))
dp[i][s][p][d] += dp[i-1][s - 10 - p - d][10][p];
for (int r1 = 0; r1 < 10; r1++) {
for (int r2 = 0; r2 <= 10 - r1; r2++) {
if (r1+r2 == 10) {
if (!cmp(i, '0'+r1, '/'))
continue;
if (s >= r1 + r2 + p)
dp[i][s][p][d] += dp[i-1][s - r1 - r2 - p][r1][r2];
} else {
if (!cmp(i, '0'+r1, '0'+r2))
continue;
if (s >= r1 + r2)
dp[i][s][p][d] += dp[i-1][s - r1 - r2][r1][r2];
}
}
}
}
}
}
}
// Ostatnia runda
ll ile = 0;
for (int s = 0; s <= 400; s++) {
if (!scorecmp(n, s))
continue;
// 3 striki lub 2 striki cos
for (int t = 0; t <= 10; t++) {
if (!cmp(n, 'x', 'x') || !cmp(n+1, t == 10 ? 'x' : '0'+t, '?'))
continue;
if (s >= 20 + t)
ile += dp[n-1][s-(20+t)][10][10];
}
// strike cos
for (int p = 0; p < 10; p++) {
for (int d = 0; d <= 10 - p; d++) {
if (!cmp(n, 'x', '0'+p) || !cmp(n+1, p+d == 10 ? '/' : '0'+d, '?'))
continue;
if (s >= 10 + p + d)
ile += dp[n-1][s-(10 + p + d)][10][p];
}
}
// spare cos
for (int p = 0; p < 10; p++) {
for (int d = 0; d <= 10; d++) {
if (!cmp(n, '0'+p, '/') || !cmp(n+1, d == 10 ? 'x' : '0'+d, '?'))
continue;
if (s >= 10 + d)
ile += dp[n-1][s-(10 + d)][p][10-p];
}
}
// cos
for (int p = 0; p < 10; p++) {
for (int d = 0; d < 10-p; d++) {
if (!cmp(n, '0'+p, '0'+d) || !cmp(n+1, '-', '?'))
continue;
if (s >= p+d)
ile += dp[n-1][s-(p+d)][p][d];
}
}
}
cout << ile << "\n";
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t;
cin >> t;
while (t--) fun();
}
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