Submission #727170

#	Time	Username	Problem	Language	Result	Execution time	Memory
727170		stasio6	Bowling (BOI15_bow)	C++14	100 / 100	30 ms	596 KiB

bow

#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;

const int maxFrameScore[11] = {0, 10, 30, 60, 90, 120, 150, 180, 210, 240, 300};
int score[20];

ll dp[15][500][4];
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 st = 0; st < 4; st++)
                dp[i][s][st]= 0;
    dp[0][0][0] = 1;
    for (int i = 1; i < n; i++) {
        for (int s = 0; s <= maxFrameScore[i]; s++) {
            // Strike
            if (cmp(i, 'x', '-')) {
                // no strikes
                if (s >= 10 && scorecmp(i-1, s-10))
                    dp[i][s][2] += dp[i - 1][s - 10][0];
                // spare
                if (s >= 20 && scorecmp(i-1, s-10))
                    dp[i][s][2] += dp[i - 1][s - 20][1];
                // strike
                if (s >= 20)
                    dp[i][s][3] += dp[i - 1][s - 20][2];
                // double strike
                if (s >= 30 && i > 2 && scorecmp(i - 2, s - 30))
                    dp[i][s][3] += dp[i - 1][s - 30][3];
            }
            for (int r1 = 0; r1 < 10; r1++) {
                for (int r2 = 0; r2 <= 10 - r1; r2++) {
                    int spare = 0;
                    if (r1 + r2 == 10) {
                        if (!cmp(i, '0' + r1, '/'))
                            continue;
                        spare = 1;
                    } else {
                        if (!cmp(i, '0' + r1, '0' + r2))
                            continue;
                    }
                    // no strikes
                    if (s >= r1 + r2 && scorecmp(i-1, s-r1-r2))
                        dp[i][s][spare] += dp[i - 1][s - r1 - r2][0];
                    // spare
                    if (s >= 2*r1 + r2 && scorecmp(i-1, s-r1-r2))
                        dp[i][s][spare] += dp[i - 1][s - 2*r1-r2][1];
                    // strike
                    if (s >= 2*(r1+r2) && scorecmp(i-1, s-r1-r2))
                        dp[i][s][spare] += dp[i - 1][s - 2*(r1+r2)][2];
                    // double strike
                    if (s >= 3*r1+2*r2 && i > 2 && scorecmp(i - 2, s - 10 - 2*(r1+r2)) && scorecmp(i-1, s-r1-r2))
                        dp[i][s][spare] += dp[i - 1][s - 3*r1-2*r2][3];
                }
            }
        }
    }
    // 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;
            // no strikes
            if (s >= 20+t && scorecmp(n-1, s-20-t))
                ile += dp[n - 1][s - 20 - t][0];
            // spare
            if (s >= 30+t && scorecmp(n-1, s-20-t))
                ile += dp[n - 1][s - 30 - t][1];
            // strike
            if (s >= 40+t && scorecmp(n-1, s - 20-t))
                ile += dp[n - 1][s - 40 - t][2];
            // double strike
            if (s >= 50+t && n > 2 && scorecmp(n-1, s - 20 - t) && scorecmp(n-2, s - 50 - t))
                ile += dp[n - 1][s - 50 - t][3];
        }
        // 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;
                // no strikes
                if (s >= 10+p+d && scorecmp(n-1, s-10-p-d))
                    ile += dp[n - 1][s - 10 - p - d][0];
                // spare
                if (s >= 20+p+d && scorecmp(n-1, s-10-p-d))
                    ile += dp[n - 1][s - 20 - p - d][1];
                // strike
                if (s >= 20+2*p+d && scorecmp(n-1, s - 10 - p - d))
                    ile += dp[n - 1][s - 20 - 2*p-d][2];
                // double strike
                if (s >= 30+2*p+d && n > 2 && scorecmp(n-1, s - 10 - p - d) && scorecmp(n-2, s - 30 - 2*p - d))
                    ile += dp[n - 1][s - 30 - 2*p-d][3];
            }
        }
        // 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;
                // no strikes
                if (s >= 10+d && scorecmp(n-1, s-10-d))
                    ile += dp[n - 1][s - 10 - d][0];
                // spare
                if (s >= 10+p+d && scorecmp(n-1, s-10-d))
                    ile += dp[n - 1][s - 10 - p - d][1];
                // strike
                if (s >= 20+d && scorecmp(n-1, s - 10 - d))
                    ile += dp[n - 1][s - 20 -d][2];
                // double strike
                if (s >= 20+p+d && n > 2 && scorecmp(n-1, s - 10 - d) && scorecmp(n-2, s - 30 - d))
                    ile += dp[n - 1][s - 20 - p-d][3];
            }
        }
        // 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;
                // no strikes
                if (s >= p+d && scorecmp(n-1, s-p-d))
                    ile += dp[n - 1][s - p - d][0];
                // spare
                if (s >= 2*p+d && scorecmp(n-1, s-p-d))
                    ile += dp[n - 1][s - 2*p - d][1];
                // strike
                if (s >= 2*(p+d) && scorecmp(n-1, s - p - d))
                    ile += dp[n - 1][s - 2*(p+d)][2];
                // double strike
                if (s >= 3*p+2*d && n > 2 && scorecmp(n-1, s - p - d) && scorecmp(n-2, s - 10 - 2*p-2*d))
                    ile += dp[n - 1][s - 3*p-2*d][3];
            }
        }
    }
    cout << ile << "\n";
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t;
    cin >> t;
    while (t--) fun();
}

• Subtask 1: 16 / 16
• Subtask 2: 17 / 17
• Subtask 3: 26 / 26
• Subtask 4: 23 / 23
• Subtask 5: 18 / 18