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Submission #1031312

# Submission time Handle Problem Language Result Execution time Memory
1031312 2024-07-22T17:12:56 Z stdfloat Boat (APIO16_boat) C++17
58 / 100
 2000 ms 2036 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define sz(v) (int)(v).size()

const int md = (int)1e9 + 7;

const int N = (int)1e5 + 1;

vector<int> fct(N), inv(N), inv_fct(N);

int pw(int x, int y) {
    int res = 1;
    while (y) {
        if (y & 1) res = (ll)res * x % md;

        x = (ll)x * x % md; y >>= 1;
    }

    return res;
}

int C(int n, int r) {
    int x = 1;
    for (int i = 1; i <= r; i++) x = (ll)x * (n - r + i) % md;

    return (ll)x * inv_fct[r] % md;
}

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);

    fct[0] = inv[0] = inv_fct[0] = 1;
    for (int i = 1; i < N; i++) {
        inv[i] = pw(i, md - 2);
        fct[i] = (ll)fct[i - 1] * i % md;
        inv_fct[i] = pw(fct[i], md - 2);
    }

    int n;
    cin >> n;

    map<int, vector<int>> m;
    vector<int> a(n + 1), b(n + 1);
    for (int i = 1; i <= n; i++) {
        cin >> a[i] >> b[i];

        m[a[i]].push_back(i);
        m[b[i] + 1].push_back(-i);
    }

    vector<int> mv;
    for (auto i : m) mv.push_back(i.first);

    set<int> s;
    vector<int> dp(n + 1);
    for (int ii = 0; ii + 1 < sz(mv); ii++) {
        for (auto j : m[mv[ii]]) {
            if (0 < j) s.insert(j);
            else s.erase(-j); 
        }

        int R = mv[ii + 1] - mv[ii];
        vector<int> v(s.begin(), s.end()), nw_dp = dp;
        for (int i = 0; i < sz(v); i++) {
            vector<int> p(n + 1, 1);
            for (int j = 1; j <= n; j++) p[j] = (p[j - 1] + dp[j]) % md;

            nw_dp[v[i]] = (dp[v[i]] + (ll)p[v[i] - 1] * R % md) % md;

            for (int j = 1; j <= min(i, R - 1); j++) {
                int c = C(R, j + 1), x = (ll)fct[j - 1] * inv_fct[j - 1] % md;
                for (int k = i - j; k >= 0; k--) {
                    if (k != i - j) x = ((ll)x * (i - k - 1) % md) * inv[i - k - j] % md;

                    nw_dp[v[i]] = (nw_dp[v[i]] + ((ll)p[v[k] - 1] * x % md) * c % md) % md;
                }
            }
        }

        dp = nw_dp;
    }

    int sm = 0;
    for (auto i : dp) sm = (sm + i) % md;

    cout << sm << '\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 1624 KB Output is correct
2 Correct 31 ms 1628 KB Output is correct
3 Correct 31 ms 1628 KB Output is correct
4 Correct 31 ms 1628 KB Output is correct
5 Correct 31 ms 1624 KB Output is correct
6 Correct 31 ms 1628 KB Output is correct
7 Correct 30 ms 1628 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1624 KB Output is correct
10 Correct 31 ms 1628 KB Output is correct
11 Correct 31 ms 1628 KB Output is correct
12 Correct 31 ms 1628 KB Output is correct
13 Correct 31 ms 1640 KB Output is correct
14 Correct 31 ms 1628 KB Output is correct
15 Correct 31 ms 1628 KB Output is correct
16 Correct 31 ms 1628 KB Output is correct
17 Correct 31 ms 1624 KB Output is correct
18 Correct 30 ms 1632 KB Output is correct
19 Correct 30 ms 1628 KB Output is correct
20 Correct 31 ms 1624 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 1624 KB Output is correct
2 Correct 31 ms 1628 KB Output is correct
3 Correct 31 ms 1628 KB Output is correct
4 Correct 31 ms 1628 KB Output is correct
5 Correct 31 ms 1624 KB Output is correct
6 Correct 31 ms 1628 KB Output is correct
7 Correct 30 ms 1628 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1624 KB Output is correct
10 Correct 31 ms 1628 KB Output is correct
11 Correct 31 ms 1628 KB Output is correct
12 Correct 31 ms 1628 KB Output is correct
13 Correct 31 ms 1640 KB Output is correct
14 Correct 31 ms 1628 KB Output is correct
15 Correct 31 ms 1628 KB Output is correct
16 Correct 31 ms 1628 KB Output is correct
17 Correct 31 ms 1624 KB Output is correct
18 Correct 30 ms 1632 KB Output is correct
19 Correct 30 ms 1628 KB Output is correct
20 Correct 31 ms 1624 KB Output is correct
21 Correct 1046 ms 1884 KB Output is correct
22 Correct 998 ms 1628 KB Output is correct
23 Correct 898 ms 1776 KB Output is correct
24 Correct 1048 ms 1780 KB Output is correct
25 Correct 1078 ms 1788 KB Output is correct
26 Correct 1672 ms 1628 KB Output is correct
27 Correct 1714 ms 2004 KB Output is correct
28 Correct 1635 ms 2036 KB Output is correct
29 Correct 1716 ms 1792 KB Output is correct
30 Correct 33 ms 1628 KB Output is correct
31 Correct 33 ms 1628 KB Output is correct
32 Correct 33 ms 1640 KB Output is correct
33 Correct 33 ms 1628 KB Output is correct
34 Correct 33 ms 1636 KB Output is correct
35 Correct 33 ms 1644 KB Output is correct
36 Correct 33 ms 1636 KB Output is correct
37 Correct 33 ms 1624 KB Output is correct
38 Correct 33 ms 1632 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 1624 KB Output is correct
2 Correct 48 ms 1644 KB Output is correct
3 Correct 52 ms 1624 KB Output is correct
4 Correct 60 ms 1628 KB Output is correct
5 Correct 66 ms 1624 KB Output is correct
6 Correct 158 ms 1628 KB Output is correct
7 Correct 149 ms 1624 KB Output is correct
8 Correct 143 ms 1628 KB Output is correct
9 Correct 139 ms 1624 KB Output is correct
10 Correct 150 ms 1624 KB Output is correct
11 Correct 65 ms 1628 KB Output is correct
12 Correct 49 ms 1628 KB Output is correct
13 Correct 59 ms 1636 KB Output is correct
14 Correct 55 ms 1644 KB Output is correct
15 Correct 66 ms 1624 KB Output is correct
16 Correct 45 ms 1628 KB Output is correct
17 Correct 41 ms 1628 KB Output is correct
18 Correct 43 ms 1624 KB Output is correct
19 Correct 41 ms 1628 KB Output is correct
20 Correct 46 ms 1628 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 1624 KB Output is correct
2 Correct 31 ms 1628 KB Output is correct
3 Correct 31 ms 1628 KB Output is correct
4 Correct 31 ms 1628 KB Output is correct
5 Correct 31 ms 1624 KB Output is correct
6 Correct 31 ms 1628 KB Output is correct
7 Correct 30 ms 1628 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1624 KB Output is correct
10 Correct 31 ms 1628 KB Output is correct
11 Correct 31 ms 1628 KB Output is correct
12 Correct 31 ms 1628 KB Output is correct
13 Correct 31 ms 1640 KB Output is correct
14 Correct 31 ms 1628 KB Output is correct
15 Correct 31 ms 1628 KB Output is correct
16 Correct 31 ms 1628 KB Output is correct
17 Correct 31 ms 1624 KB Output is correct
18 Correct 30 ms 1632 KB Output is correct
19 Correct 30 ms 1628 KB Output is correct
20 Correct 31 ms 1624 KB Output is correct
21 Correct 1046 ms 1884 KB Output is correct
22 Correct 998 ms 1628 KB Output is correct
23 Correct 898 ms 1776 KB Output is correct
24 Correct 1048 ms 1780 KB Output is correct
25 Correct 1078 ms 1788 KB Output is correct
26 Correct 1672 ms 1628 KB Output is correct
27 Correct 1714 ms 2004 KB Output is correct
28 Correct 1635 ms 2036 KB Output is correct
29 Correct 1716 ms 1792 KB Output is correct
30 Correct 33 ms 1628 KB Output is correct
31 Correct 33 ms 1628 KB Output is correct
32 Correct 33 ms 1640 KB Output is correct
33 Correct 33 ms 1628 KB Output is correct
34 Correct 33 ms 1636 KB Output is correct
35 Correct 33 ms 1644 KB Output is correct
36 Correct 33 ms 1636 KB Output is correct
37 Correct 33 ms 1624 KB Output is correct
38 Correct 33 ms 1632 KB Output is correct
39 Correct 62 ms 1624 KB Output is correct
40 Correct 48 ms 1644 KB Output is correct
41 Correct 52 ms 1624 KB Output is correct
42 Correct 60 ms 1628 KB Output is correct
43 Correct 66 ms 1624 KB Output is correct
44 Correct 158 ms 1628 KB Output is correct
45 Correct 149 ms 1624 KB Output is correct
46 Correct 143 ms 1628 KB Output is correct
47 Correct 139 ms 1624 KB Output is correct
48 Correct 150 ms 1624 KB Output is correct
49 Correct 65 ms 1628 KB Output is correct
50 Correct 49 ms 1628 KB Output is correct
51 Correct 59 ms 1636 KB Output is correct
52 Correct 55 ms 1644 KB Output is correct
53 Correct 66 ms 1624 KB Output is correct
54 Correct 45 ms 1628 KB Output is correct
55 Correct 41 ms 1628 KB Output is correct
56 Correct 43 ms 1624 KB Output is correct
57 Correct 41 ms 1628 KB Output is correct
58 Correct 46 ms 1628 KB Output is correct
59 Execution timed out 2057 ms 1792 KB Time limit exceeded
60 Halted 0 ms 0 KB -