답안 #1031312

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1031312	2024-07-22T17:12:56 Z	stdfloat	Boat (APIO16_boat)	C++17	58 / 100	2000 ms	2036 KB

boat

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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	-

답안 #1031312

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 22.0 / 22.0

Subtask #3 27.0 / 27.0

Subtask #4 0 / 42.0

Subtask #1
9.0 / 9.0

Subtask #2
22.0 / 22.0

Subtask #3
27.0 / 27.0

Subtask #4
0 / 42.0