답안 #1032695

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1032695	2024-07-24T06:19:37 Z	Kerim	Boat (APIO16_boat)	C++17	58 / 100	2000 ms	1876 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() {
	// freopen("file.in", "r", stdin);
    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;

        vector<int> p(n + 1, 1), c(v.size());
        for (int j = 1; j <= n; j++) 
        	p[j] = (p[j - 1] + dp[j]) % md;

        for (int j = 1; j < c.size(); j++)
        	c[j] = C(R, j + 1);
 
        for (int i = 0; i < sz(v); i++) {
 
            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 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[j] % md) % md;
                }
            }
        }
 
        dp = nw_dp;
    }
 
    int sm = 0;
    for (auto i : dp) sm = (sm + i) % md;
 
    cout << sm << '\n';
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:72:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |         for (int j = 1; j < c.size(); j++)
      |                         ~~^~~~~~~~~~

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	33 ms	1624 KB	Output is correct
2	Correct	32 ms	1624 KB	Output is correct
3	Correct	32 ms	1644 KB	Output is correct
4	Correct	33 ms	1636 KB	Output is correct
5	Correct	32 ms	1636 KB	Output is correct
6	Correct	33 ms	1632 KB	Output is correct
7	Correct	32 ms	1644 KB	Output is correct
8	Correct	32 ms	1628 KB	Output is correct
9	Correct	31 ms	1624 KB	Output is correct
10	Correct	32 ms	1636 KB	Output is correct
11	Correct	32 ms	1624 KB	Output is correct
12	Correct	32 ms	1628 KB	Output is correct
13	Correct	32 ms	1632 KB	Output is correct
14	Correct	32 ms	1624 KB	Output is correct
15	Correct	31 ms	1628 KB	Output is correct
16	Correct	30 ms	1628 KB	Output is correct
17	Correct	30 ms	1628 KB	Output is correct
18	Correct	32 ms	1632 KB	Output is correct
19	Correct	30 ms	1628 KB	Output is correct
20	Correct	30 ms	1628 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	33 ms	1624 KB	Output is correct
2	Correct	32 ms	1624 KB	Output is correct
3	Correct	32 ms	1644 KB	Output is correct
4	Correct	33 ms	1636 KB	Output is correct
5	Correct	32 ms	1636 KB	Output is correct
6	Correct	33 ms	1632 KB	Output is correct
7	Correct	32 ms	1644 KB	Output is correct
8	Correct	32 ms	1628 KB	Output is correct
9	Correct	31 ms	1624 KB	Output is correct
10	Correct	32 ms	1636 KB	Output is correct
11	Correct	32 ms	1624 KB	Output is correct
12	Correct	32 ms	1628 KB	Output is correct
13	Correct	32 ms	1632 KB	Output is correct
14	Correct	32 ms	1624 KB	Output is correct
15	Correct	31 ms	1628 KB	Output is correct
16	Correct	30 ms	1628 KB	Output is correct
17	Correct	30 ms	1628 KB	Output is correct
18	Correct	32 ms	1632 KB	Output is correct
19	Correct	30 ms	1628 KB	Output is correct
20	Correct	30 ms	1628 KB	Output is correct
21	Correct	807 ms	1824 KB	Output is correct
22	Correct	752 ms	1628 KB	Output is correct
23	Correct	660 ms	1760 KB	Output is correct
24	Correct	816 ms	1628 KB	Output is correct
25	Correct	811 ms	1624 KB	Output is correct
26	Correct	1412 ms	1628 KB	Output is correct
27	Correct	1320 ms	1832 KB	Output is correct
28	Correct	1279 ms	1628 KB	Output is correct
29	Correct	1313 ms	1820 KB	Output is correct
30	Correct	27 ms	1636 KB	Output is correct
31	Correct	31 ms	1624 KB	Output is correct
32	Correct	26 ms	1648 KB	Output is correct
33	Correct	27 ms	1632 KB	Output is correct
34	Correct	28 ms	1624 KB	Output is correct
35	Correct	27 ms	1628 KB	Output is correct
36	Correct	27 ms	1624 KB	Output is correct
37	Correct	28 ms	1640 KB	Output is correct
38	Correct	27 ms	1632 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	43 ms	1624 KB	Output is correct
2	Correct	35 ms	1628 KB	Output is correct
3	Correct	42 ms	1628 KB	Output is correct
4	Correct	42 ms	1628 KB	Output is correct
5	Correct	45 ms	1632 KB	Output is correct
6	Correct	105 ms	1624 KB	Output is correct
7	Correct	114 ms	1624 KB	Output is correct
8	Correct	108 ms	1624 KB	Output is correct
9	Correct	112 ms	1624 KB	Output is correct
10	Correct	113 ms	1628 KB	Output is correct
11	Correct	46 ms	1624 KB	Output is correct
12	Correct	38 ms	1624 KB	Output is correct
13	Correct	42 ms	1632 KB	Output is correct
14	Correct	41 ms	1628 KB	Output is correct
15	Correct	47 ms	1628 KB	Output is correct
16	Correct	34 ms	1624 KB	Output is correct
17	Correct	33 ms	1628 KB	Output is correct
18	Correct	32 ms	1644 KB	Output is correct
19	Correct	32 ms	1628 KB	Output is correct
20	Correct	39 ms	1628 KB	Output is correct

Subtask #4
0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	33 ms	1624 KB	Output is correct
2	Correct	32 ms	1624 KB	Output is correct
3	Correct	32 ms	1644 KB	Output is correct
4	Correct	33 ms	1636 KB	Output is correct
5	Correct	32 ms	1636 KB	Output is correct
6	Correct	33 ms	1632 KB	Output is correct
7	Correct	32 ms	1644 KB	Output is correct
8	Correct	32 ms	1628 KB	Output is correct
9	Correct	31 ms	1624 KB	Output is correct
10	Correct	32 ms	1636 KB	Output is correct
11	Correct	32 ms	1624 KB	Output is correct
12	Correct	32 ms	1628 KB	Output is correct
13	Correct	32 ms	1632 KB	Output is correct
14	Correct	32 ms	1624 KB	Output is correct
15	Correct	31 ms	1628 KB	Output is correct
16	Correct	30 ms	1628 KB	Output is correct
17	Correct	30 ms	1628 KB	Output is correct
18	Correct	32 ms	1632 KB	Output is correct
19	Correct	30 ms	1628 KB	Output is correct
20	Correct	30 ms	1628 KB	Output is correct
21	Correct	807 ms	1824 KB	Output is correct
22	Correct	752 ms	1628 KB	Output is correct
23	Correct	660 ms	1760 KB	Output is correct
24	Correct	816 ms	1628 KB	Output is correct
25	Correct	811 ms	1624 KB	Output is correct
26	Correct	1412 ms	1628 KB	Output is correct
27	Correct	1320 ms	1832 KB	Output is correct
28	Correct	1279 ms	1628 KB	Output is correct
29	Correct	1313 ms	1820 KB	Output is correct
30	Correct	27 ms	1636 KB	Output is correct
31	Correct	31 ms	1624 KB	Output is correct
32	Correct	26 ms	1648 KB	Output is correct
33	Correct	27 ms	1632 KB	Output is correct
34	Correct	28 ms	1624 KB	Output is correct
35	Correct	27 ms	1628 KB	Output is correct
36	Correct	27 ms	1624 KB	Output is correct
37	Correct	28 ms	1640 KB	Output is correct
38	Correct	27 ms	1632 KB	Output is correct
39	Correct	43 ms	1624 KB	Output is correct
40	Correct	35 ms	1628 KB	Output is correct
41	Correct	42 ms	1628 KB	Output is correct
42	Correct	42 ms	1628 KB	Output is correct
43	Correct	45 ms	1632 KB	Output is correct
44	Correct	105 ms	1624 KB	Output is correct
45	Correct	114 ms	1624 KB	Output is correct
46	Correct	108 ms	1624 KB	Output is correct
47	Correct	112 ms	1624 KB	Output is correct
48	Correct	113 ms	1628 KB	Output is correct
49	Correct	46 ms	1624 KB	Output is correct
50	Correct	38 ms	1624 KB	Output is correct
51	Correct	42 ms	1632 KB	Output is correct
52	Correct	41 ms	1628 KB	Output is correct
53	Correct	47 ms	1628 KB	Output is correct
54	Correct	34 ms	1624 KB	Output is correct
55	Correct	33 ms	1628 KB	Output is correct
56	Correct	32 ms	1644 KB	Output is correct
57	Correct	32 ms	1628 KB	Output is correct
58	Correct	39 ms	1628 KB	Output is correct
59	Execution timed out	2037 ms	1876 KB	Time limit exceeded
60	Halted	0 ms	0 KB	-

답안 #1032695

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