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Submission #558540

# Submission time Handle Problem Language Result Execution time Memory
558540 2022-05-07T13:55:06 Z hoanghq2004 Boat (APIO16_boat) C++14
100 / 100
 1504 ms 5664 KB 
#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace __gnu_pbds;
using namespace std;

template <typename T>
using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;

const int N = 510;
const int mod = 1e9 + 7;

int n, f[N][N * 2], g[N * 2][N], C[N][N];
int L[N], R[N], cur[N], inv[N];

void add(int& a, int b) {
    a += b;
    if (a >= mod) a -= mod;
}

int main() {
    ios :: sync_with_stdio(0); cin.tie(0);
    cin >> n;
    vector <int> dta = {0};
    for (int i = 1; i <= n; ++i) {
        cin >> L[i] >> R[i];
        --L[i];
        dta.push_back(L[i]), dta.push_back(R[i]);
    }
    sort(dta.begin(), dta.end());
    dta.erase(unique(dta.begin(), dta.end()), dta.end());
    int m = dta.size();
    C[0][0] = 1;
    for (int i = 1; i < N; ++i) {
        C[i][0] = 1;
        for (int j = 1; j <= i; ++j)
            C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % mod;
    }
    auto power = [&](int a, int n) {
        int ans = 1;
        for (; n; n >>= 1, a = 1LL * a * a % mod)
            if (n & 1) ans = 1LL * ans * a % mod;
        return ans;
    };
    inv[0] = 1;
    for (int i = 1, fact = 1; i <= n; ++i, fact = 1LL * fact * i % mod)
        inv[i] = power(fact, mod - 2);
    auto coef = [&](int n, int k) {
        if (k > n || k < 0) return 0;
        if (k > n - k) k = n - k;
        int ans = inv[k];
        for (int i = n - k + 1; i <= n; ++i) ans = 1LL * ans * i % mod;
        return ans;
    };
    for (int i = 0; i < m; ++i) f[0][i] = 1;
    for (int s = 1; s < m; ++s) {
        int d = dta[s] - dta[s - 1];
        for (int i = 0; i <= n; ++i) cur[i] = coef(d, i);
        for (int i = 0; i <= n; ++i) {
            for (int j = 0; j < i; ++j) {
                add(g[s][i], 1LL * C[i - 1][j] * cur[j + 1] % mod);
            }
        }
    }
    int ans = 0;
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j < m; ++j) {
            f[i][j] = f[i][j - 1];
            if (L[i] >= dta[j] || dta[j] > R[i]) continue;
            int cnt = 0;
            for (int k = i; k > 0; --k) {
                cnt += (L[k] < dta[j] && dta[j] <= R[k]);
                add(f[i][j], 1LL * f[k - 1][j - 1] * g[j][cnt] % mod);
            }
        }
        add(ans, f[i][m - 1]);
    }
    cout << ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 657 ms 5324 KB Output is correct
2 Correct 675 ms 5352 KB Output is correct
3 Correct 652 ms 5340 KB Output is correct
4 Correct 619 ms 5464 KB Output is correct
5 Correct 615 ms 5256 KB Output is correct
6 Correct 625 ms 5428 KB Output is correct
7 Correct 635 ms 5268 KB Output is correct
8 Correct 637 ms 5256 KB Output is correct
9 Correct 636 ms 5284 KB Output is correct
10 Correct 611 ms 5324 KB Output is correct
11 Correct 638 ms 5328 KB Output is correct
12 Correct 629 ms 5324 KB Output is correct
13 Correct 646 ms 5264 KB Output is correct
14 Correct 630 ms 5396 KB Output is correct
15 Correct 621 ms 5284 KB Output is correct
16 Correct 112 ms 3584 KB Output is correct
17 Correct 121 ms 3664 KB Output is correct
18 Correct 114 ms 3612 KB Output is correct
19 Correct 122 ms 3748 KB Output is correct
20 Correct 117 ms 3636 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 657 ms 5324 KB Output is correct
2 Correct 675 ms 5352 KB Output is correct
3 Correct 652 ms 5340 KB Output is correct
4 Correct 619 ms 5464 KB Output is correct
5 Correct 615 ms 5256 KB Output is correct
6 Correct 625 ms 5428 KB Output is correct
7 Correct 635 ms 5268 KB Output is correct
8 Correct 637 ms 5256 KB Output is correct
9 Correct 636 ms 5284 KB Output is correct
10 Correct 611 ms 5324 KB Output is correct
11 Correct 638 ms 5328 KB Output is correct
12 Correct 629 ms 5324 KB Output is correct
13 Correct 646 ms 5264 KB Output is correct
14 Correct 630 ms 5396 KB Output is correct
15 Correct 621 ms 5284 KB Output is correct
16 Correct 112 ms 3584 KB Output is correct
17 Correct 121 ms 3664 KB Output is correct
18 Correct 114 ms 3612 KB Output is correct
19 Correct 122 ms 3748 KB Output is correct
20 Correct 117 ms 3636 KB Output is correct
21 Correct 641 ms 5276 KB Output is correct
22 Correct 619 ms 5196 KB Output is correct
23 Correct 582 ms 5244 KB Output is correct
24 Correct 612 ms 5096 KB Output is correct
25 Correct 606 ms 5124 KB Output is correct
26 Correct 744 ms 5324 KB Output is correct
27 Correct 783 ms 5196 KB Output is correct
28 Correct 766 ms 5084 KB Output is correct
29 Correct 759 ms 5048 KB Output is correct
30 Correct 571 ms 5436 KB Output is correct
31 Correct 563 ms 5348 KB Output is correct
32 Correct 564 ms 5328 KB Output is correct
33 Correct 567 ms 5392 KB Output is correct
34 Correct 567 ms 5324 KB Output is correct
35 Correct 559 ms 5308 KB Output is correct
36 Correct 567 ms 5500 KB Output is correct
37 Correct 578 ms 5348 KB Output is correct
38 Correct 572 ms 5376 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2132 KB Output is correct
2 Correct 11 ms 2132 KB Output is correct
3 Correct 11 ms 2132 KB Output is correct
4 Correct 14 ms 2116 KB Output is correct
5 Correct 12 ms 2076 KB Output is correct
6 Correct 14 ms 2108 KB Output is correct
7 Correct 13 ms 2132 KB Output is correct
8 Correct 13 ms 2132 KB Output is correct
9 Correct 14 ms 2064 KB Output is correct
10 Correct 14 ms 2084 KB Output is correct
11 Correct 12 ms 2132 KB Output is correct
12 Correct 12 ms 2124 KB Output is correct
13 Correct 13 ms 2064 KB Output is correct
14 Correct 12 ms 2124 KB Output is correct
15 Correct 13 ms 2044 KB Output is correct
16 Correct 7 ms 2004 KB Output is correct
17 Correct 6 ms 1876 KB Output is correct
18 Correct 7 ms 1988 KB Output is correct
19 Correct 7 ms 1876 KB Output is correct
20 Correct 7 ms 1876 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 657 ms 5324 KB Output is correct
2 Correct 675 ms 5352 KB Output is correct
3 Correct 652 ms 5340 KB Output is correct
4 Correct 619 ms 5464 KB Output is correct
5 Correct 615 ms 5256 KB Output is correct
6 Correct 625 ms 5428 KB Output is correct
7 Correct 635 ms 5268 KB Output is correct
8 Correct 637 ms 5256 KB Output is correct
9 Correct 636 ms 5284 KB Output is correct
10 Correct 611 ms 5324 KB Output is correct
11 Correct 638 ms 5328 KB Output is correct
12 Correct 629 ms 5324 KB Output is correct
13 Correct 646 ms 5264 KB Output is correct
14 Correct 630 ms 5396 KB Output is correct
15 Correct 621 ms 5284 KB Output is correct
16 Correct 112 ms 3584 KB Output is correct
17 Correct 121 ms 3664 KB Output is correct
18 Correct 114 ms 3612 KB Output is correct
19 Correct 122 ms 3748 KB Output is correct
20 Correct 117 ms 3636 KB Output is correct
21 Correct 641 ms 5276 KB Output is correct
22 Correct 619 ms 5196 KB Output is correct
23 Correct 582 ms 5244 KB Output is correct
24 Correct 612 ms 5096 KB Output is correct
25 Correct 606 ms 5124 KB Output is correct
26 Correct 744 ms 5324 KB Output is correct
27 Correct 783 ms 5196 KB Output is correct
28 Correct 766 ms 5084 KB Output is correct
29 Correct 759 ms 5048 KB Output is correct
30 Correct 571 ms 5436 KB Output is correct
31 Correct 563 ms 5348 KB Output is correct
32 Correct 564 ms 5328 KB Output is correct
33 Correct 567 ms 5392 KB Output is correct
34 Correct 567 ms 5324 KB Output is correct
35 Correct 559 ms 5308 KB Output is correct
36 Correct 567 ms 5500 KB Output is correct
37 Correct 578 ms 5348 KB Output is correct
38 Correct 572 ms 5376 KB Output is correct
39 Correct 12 ms 2132 KB Output is correct
40 Correct 11 ms 2132 KB Output is correct
41 Correct 11 ms 2132 KB Output is correct
42 Correct 14 ms 2116 KB Output is correct
43 Correct 12 ms 2076 KB Output is correct
44 Correct 14 ms 2108 KB Output is correct
45 Correct 13 ms 2132 KB Output is correct
46 Correct 13 ms 2132 KB Output is correct
47 Correct 14 ms 2064 KB Output is correct
48 Correct 14 ms 2084 KB Output is correct
49 Correct 12 ms 2132 KB Output is correct
50 Correct 12 ms 2124 KB Output is correct
51 Correct 13 ms 2064 KB Output is correct
52 Correct 12 ms 2124 KB Output is correct
53 Correct 13 ms 2044 KB Output is correct
54 Correct 7 ms 2004 KB Output is correct
55 Correct 6 ms 1876 KB Output is correct
56 Correct 7 ms 1988 KB Output is correct
57 Correct 7 ms 1876 KB Output is correct
58 Correct 7 ms 1876 KB Output is correct
59 Correct 1323 ms 5376 KB Output is correct
60 Correct 1286 ms 5664 KB Output is correct
61 Correct 1278 ms 5388 KB Output is correct
62 Correct 1310 ms 5252 KB Output is correct
63 Correct 1310 ms 5352 KB Output is correct
64 Correct 1502 ms 5268 KB Output is correct
65 Correct 1460 ms 5600 KB Output is correct
66 Correct 1497 ms 5344 KB Output is correct
67 Correct 1475 ms 5292 KB Output is correct
68 Correct 1504 ms 5384 KB Output is correct
69 Correct 1220 ms 5328 KB Output is correct
70 Correct 1205 ms 5460 KB Output is correct
71 Correct 1203 ms 5336 KB Output is correct
72 Correct 1217 ms 5420 KB Output is correct
73 Correct 1248 ms 5284 KB Output is correct
74 Correct 199 ms 3708 KB Output is correct
75 Correct 191 ms 3644 KB Output is correct
76 Correct 199 ms 3744 KB Output is correct
77 Correct 192 ms 3752 KB Output is correct
78 Correct 203 ms 3652 KB Output is correct