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Submission #1111482

# Submission time Handle Problem Language Result Execution time Memory
1111482 2024-11-12T08:50:56 Z Kirill22 Bowling (BOI15_bow) C++17
100 / 100
 562 ms 2636 KB 
#include "bits/stdc++.h"
 
using namespace std;
 
const int N = 300;
long long dp[2][N][12][12];
 
void solve() {
    int n;
    string s;
    cin >> n >> s;
    vector<int> res(n);
    for (int i = 0; i < n; i++) {
        cin >> res[i];
    }
//    cin >> n;
//    s = string(2 * n + 1, '?');
//    vector<int> res(n, -1);
    int cur = 0;
    for (int x = 0; x < N; x++) {
        for (int y = 0; y < 12; y++) {
            for (int z = 0; z < 12; z++) {
                dp[cur ^ 1][x][y][z] = dp[cur][x][y][z] = 0;
            }
        }
    }
    dp[cur][0][11][11] = 1;
    long long ans = 0;
    for (int i = 0; i < n; i++) {
//        cout << i << endl;
//        cout << dp.size() << endl;
//        cout << (*dp.begin()).first[0] << " " << (*dp.rbegin()).first[0] << endl;
        vector<pair<array<int, 3>, long long>> dp2;
        for (int x = 0; x < N; x++) {
            for (int y = 0; y < 12; y++) {
                for (int z = 0; z < 12; z++) {
                    dp[cur ^ 1][x][y][z] = 0;
                    if (dp[cur][x][y][z]) {
                        dp2.push_back({{x, y == 11 ? -1 : y, z == 11 ? -1 : z}, dp[cur][x][y][z]});
                    }
                }
            }
        }
        cur ^= 1;
//        dp2.clear();
//        if (i == 1) exit(0);
        if (i + 1 < n) {
            for (int x = 0; x <= 10; x++) {
                for (int y = 0; x + y <= 10; y++) {
                    string t = (string) "" + char('0' + x) + char('0' + y);
                    if (x == 10) {
                        t = "x-";
                    } else if (x + y == 10) {
                        t = (string) "" + char('0' + x) + '/';
                    }
                    if (s[i * 2] != '?' && s[i * 2] != t[0]) {
                        continue;
                    }
                    if (s[i * 2 + 1] != '?' && s[i * 2 + 1] != t[1]) {
                        continue;
                    }
                    if (t == "x-") {
                        for (auto& [_, cnt] : dp2) {
                            auto [sum, x1, x2] = _;
                            if (x1 != -1 && x1 != 10) continue;
                            for (int nsum = 0; nsum <= 30; nsum++) {
                                if (res[i] != -1 && res[i] != sum + nsum) continue;
                                for (int x3 = 0; x3 <= 10; x3++) {
                                    int x4 = nsum - 10 - x3;
                                    if (x4 >= 0 && x4 <= 10) {
                                        if (!(x2 != -1 && x2 != x3)) {
                                            dp[cur][sum + nsum][x3][x4] += cnt;
                                        }
                                    }
                                }
                            }
                        }
                    } else if (t[1] == '/') {
                        for (auto& [_, cnt] : dp2) {
                            auto [sum, x1, x2] = _;
                            if (x1 != -1 && x1 != x) continue;
                            if (x2 != -1 && x2 != y) continue;
                            for (int nsum = 10; nsum <= 20; nsum++) {
                                if (res[i] != -1 && res[i] != sum + nsum) continue;
                                dp[cur][sum + nsum][nsum - 10][11] += cnt;
                            }
                        }
                    } else {
                        for (auto& [_, cnt] : dp2) {
                            auto [sum, x1, x2] = _;
                            if (x1 != -1 && x1 != x) continue;
                            if (x2 != -1 && x2 != y) continue;
                            if (res[i] != -1 && res[i] != sum + x + y) continue;
                            dp[cur][sum + x + y][11][11] += cnt;
                        }
                    }
                }
            }
        } else {
            while ((int) s.size() > 3) {
                s.erase(s.begin());
            }
            for (int x = 0; x <= 10; x++) {
                for (int y = 0; y <= 10; y++) {
                    for (int z = 0; z <= 10; z++) {
                        if (x == 10 && y == 10 && z == 10) {
                            if (s[0] != '?' && s[0] != 'x') continue;
                            if (s[1] != '?' && s[1] != 'x') continue;
                            if (s[2] != '?' && s[2] != 'x') continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + 30) continue;
                                ans += cnt;
                            }
                        } else if (x == 10 && y == 10) {
                            if (s[0] != '?' && s[0] != 'x') continue;
                            if (s[1] != '?' && s[1] != 'x') continue;
                            if (s[2] != '?' && s[2] != '0' + z) continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        } else if (x == 10 && y + z == 10) {
                            if (s[0] != '?' && s[0] != 'x') continue;
                            if (s[1] != '?' && s[1] != '0' + y) continue;
                            if (s[2] != '?' && s[2] != '/') continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        } else if (x == 10 && y + z < 10) {
                            if (s[0] != '?' && s[0] != 'x') continue;
                            if (s[1] != '?' && s[1] != '0' + y) continue;
                            if (s[2] != '?' && s[2] != '0' + z) continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        } else if (x + y == 10 && z == 10) {
                            if (s[0] != '?' && s[0] != '0' + x) continue;
                            if (s[1] != '?' && s[1] != '/') continue;
                            if (s[2] != '?' && s[2] != 'x') continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        } else if (x + y == 10 && z < 10) {
                            if (s[0] != '?' && s[0] != '0' + x) continue;
                            if (s[1] != '?' && s[1] != '/') continue;
                            if (s[2] != '?' && s[2] != '0' + z) continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        } else if (x + y < 10 && z == 0) {
                            if (s[0] != '?' && s[0] != '0' + x) continue;
                            if (s[1] != '?' && s[1] != '0' + y) continue;
                            if (s[2] != '?' && s[2] != '-') continue;
                            for (auto& [_, cnt] : dp2) {
                                auto [sum, x1, x2] = _;
                                if (x1 != -1 && x1 != x) continue;
                                if (x2 != -1 && x2 != y) continue;
                                if (res[i] != -1 && res[i] != sum + x + y + z) continue;
                                ans += cnt;
                            }
                        }
                    }
                }
            }
        }
    }
    cout << ans << '\n';
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
    cin >> t;
    while (t--) {
        solve();
    }
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1360 KB Output is correct
2 Correct 7 ms 1276 KB Output is correct
3 Correct 7 ms 1140 KB Output is correct
4 Correct 7 ms 1104 KB Output is correct
5 Correct 7 ms 1272 KB Output is correct
6 Correct 8 ms 1104 KB Output is correct
7 Correct 12 ms 1388 KB Output is correct
8 Correct 10 ms 1300 KB Output is correct
9 Correct 8 ms 1272 KB Output is correct
10 Correct 9 ms 1428 KB Output is correct
11 Correct 14 ms 1104 KB Output is correct
12 Correct 5 ms 976 KB Output is correct
13 Correct 2 ms 1104 KB Output is correct
14 Correct 5 ms 1104 KB Output is correct
15 Correct 2 ms 1204 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 1688 KB Output is correct
2 Correct 14 ms 1672 KB Output is correct
3 Correct 18 ms 1872 KB Output is correct
4 Correct 15 ms 1340 KB Output is correct
5 Correct 10 ms 1400 KB Output is correct
6 Correct 14 ms 1576 KB Output is correct
7 Correct 16 ms 1996 KB Output is correct
8 Correct 17 ms 1424 KB Output is correct
9 Correct 12 ms 1272 KB Output is correct
10 Correct 39 ms 1608 KB Output is correct
11 Correct 36 ms 2328 KB Output is correct
12 Correct 27 ms 1728 KB Output is correct
13 Correct 33 ms 2048 KB Output is correct
14 Correct 14 ms 1360 KB Output is correct
15 Correct 14 ms 1240 KB Output is correct
16 Correct 20 ms 1360 KB Output is correct
17 Correct 15 ms 1496 KB Output is correct
18 Correct 50 ms 2480 KB Output is correct
19 Correct 47 ms 2336 KB Output is correct
20 Correct 52 ms 2272 KB Output is correct
21 Correct 55 ms 2436 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 2532 KB Output is correct
2 Correct 8 ms 1280 KB Output is correct
3 Correct 7 ms 1152 KB Output is correct
4 Correct 7 ms 1104 KB Output is correct
5 Correct 7 ms 1104 KB Output is correct
6 Correct 10 ms 1152 KB Output is correct
7 Correct 10 ms 1136 KB Output is correct
8 Correct 10 ms 1104 KB Output is correct
9 Correct 12 ms 1104 KB Output is correct
10 Correct 11 ms 1156 KB Output is correct
11 Correct 12 ms 1104 KB Output is correct
12 Correct 12 ms 1152 KB Output is correct
13 Correct 11 ms 1104 KB Output is correct
14 Correct 13 ms 1104 KB Output is correct
15 Correct 12 ms 1104 KB Output is correct
16 Correct 11 ms 1104 KB Output is correct
17 Correct 12 ms 1148 KB Output is correct
18 Correct 14 ms 1104 KB Output is correct
19 Correct 12 ms 1104 KB Output is correct
20 Correct 11 ms 1104 KB Output is correct
21 Correct 11 ms 1104 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 2632 KB Output is correct
2 Correct 11 ms 1600 KB Output is correct
3 Correct 14 ms 1936 KB Output is correct
4 Correct 16 ms 1528 KB Output is correct
5 Correct 12 ms 1416 KB Output is correct
6 Correct 8 ms 1104 KB Output is correct
7 Correct 8 ms 1424 KB Output is correct
8 Correct 7 ms 1360 KB Output is correct
9 Correct 8 ms 1360 KB Output is correct
10 Correct 51 ms 2316 KB Output is correct
11 Correct 66 ms 2424 KB Output is correct
12 Correct 50 ms 2440 KB Output is correct
13 Correct 55 ms 2440 KB Output is correct
14 Correct 17 ms 1812 KB Output is correct
15 Correct 16 ms 1800 KB Output is correct
16 Correct 18 ms 1820 KB Output is correct
17 Correct 15 ms 1552 KB Output is correct
18 Correct 12 ms 1104 KB Output is correct
19 Correct 15 ms 1268 KB Output is correct
20 Correct 12 ms 1304 KB Output is correct
21 Correct 13 ms 1192 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1360 KB Output is correct
2 Correct 7 ms 1276 KB Output is correct
3 Correct 7 ms 1140 KB Output is correct
4 Correct 7 ms 1104 KB Output is correct
5 Correct 7 ms 1272 KB Output is correct
6 Correct 8 ms 1104 KB Output is correct
7 Correct 12 ms 1388 KB Output is correct
8 Correct 10 ms 1300 KB Output is correct
9 Correct 8 ms 1272 KB Output is correct
10 Correct 9 ms 1428 KB Output is correct
11 Correct 14 ms 1104 KB Output is correct
12 Correct 5 ms 976 KB Output is correct
13 Correct 2 ms 1104 KB Output is correct
14 Correct 5 ms 1104 KB Output is correct
15 Correct 2 ms 1204 KB Output is correct
16 Correct 16 ms 1688 KB Output is correct
17 Correct 14 ms 1672 KB Output is correct
18 Correct 18 ms 1872 KB Output is correct
19 Correct 15 ms 1340 KB Output is correct
20 Correct 10 ms 1400 KB Output is correct
21 Correct 14 ms 1576 KB Output is correct
22 Correct 16 ms 1996 KB Output is correct
23 Correct 17 ms 1424 KB Output is correct
24 Correct 12 ms 1272 KB Output is correct
25 Correct 39 ms 1608 KB Output is correct
26 Correct 36 ms 2328 KB Output is correct
27 Correct 27 ms 1728 KB Output is correct
28 Correct 33 ms 2048 KB Output is correct
29 Correct 14 ms 1360 KB Output is correct
30 Correct 14 ms 1240 KB Output is correct
31 Correct 20 ms 1360 KB Output is correct
32 Correct 15 ms 1496 KB Output is correct
33 Correct 50 ms 2480 KB Output is correct
34 Correct 47 ms 2336 KB Output is correct
35 Correct 52 ms 2272 KB Output is correct
36 Correct 55 ms 2436 KB Output is correct
37 Correct 33 ms 2532 KB Output is correct
38 Correct 8 ms 1280 KB Output is correct
39 Correct 7 ms 1152 KB Output is correct
40 Correct 7 ms 1104 KB Output is correct
41 Correct 7 ms 1104 KB Output is correct
42 Correct 10 ms 1152 KB Output is correct
43 Correct 10 ms 1136 KB Output is correct
44 Correct 10 ms 1104 KB Output is correct
45 Correct 12 ms 1104 KB Output is correct
46 Correct 11 ms 1156 KB Output is correct
47 Correct 12 ms 1104 KB Output is correct
48 Correct 12 ms 1152 KB Output is correct
49 Correct 11 ms 1104 KB Output is correct
50 Correct 13 ms 1104 KB Output is correct
51 Correct 12 ms 1104 KB Output is correct
52 Correct 11 ms 1104 KB Output is correct
53 Correct 12 ms 1148 KB Output is correct
54 Correct 14 ms 1104 KB Output is correct
55 Correct 12 ms 1104 KB Output is correct
56 Correct 11 ms 1104 KB Output is correct
57 Correct 11 ms 1104 KB Output is correct
58 Correct 31 ms 2632 KB Output is correct
59 Correct 11 ms 1600 KB Output is correct
60 Correct 14 ms 1936 KB Output is correct
61 Correct 16 ms 1528 KB Output is correct
62 Correct 12 ms 1416 KB Output is correct
63 Correct 8 ms 1104 KB Output is correct
64 Correct 8 ms 1424 KB Output is correct
65 Correct 7 ms 1360 KB Output is correct
66 Correct 8 ms 1360 KB Output is correct
67 Correct 51 ms 2316 KB Output is correct
68 Correct 66 ms 2424 KB Output is correct
69 Correct 50 ms 2440 KB Output is correct
70 Correct 55 ms 2440 KB Output is correct
71 Correct 17 ms 1812 KB Output is correct
72 Correct 16 ms 1800 KB Output is correct
73 Correct 18 ms 1820 KB Output is correct
74 Correct 15 ms 1552 KB Output is correct
75 Correct 12 ms 1104 KB Output is correct
76 Correct 15 ms 1268 KB Output is correct
77 Correct 12 ms 1304 KB Output is correct
78 Correct 13 ms 1192 KB Output is correct
79 Correct 73 ms 2612 KB Output is correct
80 Correct 19 ms 1552 KB Output is correct
81 Correct 25 ms 2252 KB Output is correct
82 Correct 13 ms 1716 KB Output is correct
83 Correct 14 ms 1416 KB Output is correct
84 Correct 11 ms 1148 KB Output is correct
85 Correct 12 ms 1168 KB Output is correct
86 Correct 11 ms 1104 KB Output is correct
87 Correct 14 ms 1136 KB Output is correct
88 Correct 21 ms 1408 KB Output is correct
89 Correct 34 ms 1784 KB Output is correct
90 Correct 33 ms 2248 KB Output is correct
91 Correct 32 ms 1808 KB Output is correct
92 Correct 16 ms 1444 KB Output is correct
93 Correct 562 ms 2600 KB Output is correct
94 Correct 491 ms 2592 KB Output is correct
95 Correct 491 ms 2632 KB Output is correct
96 Correct 480 ms 2636 KB Output is correct
97 Correct 464 ms 2624 KB Output is correct
98 Correct 485 ms 2608 KB Output is correct
99 Correct 467 ms 2596 KB Output is correct
100 Correct 470 ms 2620 KB Output is correct