답안 #981183

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
981183	2024-05-13T01:29:50 Z	hmm789	Boat (APIO16_boat)	C++14	100 / 100	479 ms	8528 KB

boat

#include <bits/stdc++.h>
using namespace std;
#define int long long 
#define MOD 1000000007

int pwr(int x, int n) {
	if(n == 0) return 1;
	if(n == 1) return x;
	int h = pwr(x, n/2);
	if(n%2 == 0) return h*h%MOD;
	else return h*h%MOD*x%MOD;
}

int inv2(int x) {
	return pwr(x, MOD-2);
}

int32_t main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	int n;
	cin >> n;
	// regions [l, r)
	vector<pair<int, int>> v;
	vector<int> len;
	int a[n+1], b[n+1], inv[n+1], ans = 0;
	for(int i = 1; i <= n; i++) inv[i] = inv2(i);
	for(int i = 1; i <= n; i++) {
		cin >> a[i] >> b[i];
		v.push_back({a[i], i});
		v.push_back({b[i]+1, i+n});
	}
	v.push_back({0, 0});
	sort(v.begin(), v.end());
	int cnt = 0;
	for(int i = 0; i < v.size(); i++) {
		if(v[i].second <= n) a[v[i].second] = cnt;
		else b[v[i].second-n] = cnt-1;
		if(i != v.size()-1 && v[i].first != v[i+1].first) {
			len.push_back(v[i+1].first-v[i].first);
			cnt++;
		}
	}
	int dp[n+1][cnt], pref[n+1][cnt];
	memset(dp, 0, sizeof(dp));
	memset(pref, 0, sizeof(pref));
	dp[0][0] = 1;
	for(int i = 0; i < cnt; i++) pref[0][i] = 1;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j < cnt; j++) {
			if(j >= a[i] && j <= b[i]) {
				int c = len[j], cur = 1;
				for(int k = i-1; k >= 0; k--) {
					dp[i][j] += pref[k][j-1] * c % MOD;
					dp[i][j] %= MOD;
					if(j >= a[k] && j <= b[k]) {
						cur++;
						c = c*(len[j]+cur-1)%MOD * inv[cur]%MOD;
					}
				}
			}
			pref[i][j] = (pref[i][j-1]+dp[i][j]) % MOD;
			ans = (ans+dp[i][j]) % MOD;
		}
	}
	cout << ans;
}

Compilation message

boat.cpp: In function 'int32_t main()':
boat.cpp:36:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |  for(int i = 0; i < v.size(); i++) {
      |                 ~~^~~~~~~~~~
boat.cpp:39:8: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |   if(i != v.size()-1 && v[i].first != v[i+1].first) {
      |      ~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	8284 KB	Output is correct
2	Correct	8 ms	8284 KB	Output is correct
3	Correct	8 ms	8284 KB	Output is correct
4	Correct	8 ms	8440 KB	Output is correct
5	Correct	9 ms	8280 KB	Output is correct
6	Correct	8 ms	8268 KB	Output is correct
7	Correct	9 ms	8284 KB	Output is correct
8	Correct	8 ms	8284 KB	Output is correct
9	Correct	8 ms	8284 KB	Output is correct
10	Correct	10 ms	8284 KB	Output is correct
11	Correct	9 ms	8284 KB	Output is correct
12	Correct	8 ms	8284 KB	Output is correct
13	Correct	9 ms	8284 KB	Output is correct
14	Correct	8 ms	8284 KB	Output is correct
15	Correct	9 ms	8284 KB	Output is correct
16	Correct	3 ms	1628 KB	Output is correct
17	Correct	2 ms	1884 KB	Output is correct
18	Correct	2 ms	1884 KB	Output is correct
19	Correct	3 ms	1796 KB	Output is correct
20	Correct	2 ms	1872 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	8284 KB	Output is correct
2	Correct	8 ms	8284 KB	Output is correct
3	Correct	8 ms	8284 KB	Output is correct
4	Correct	8 ms	8440 KB	Output is correct
5	Correct	9 ms	8280 KB	Output is correct
6	Correct	8 ms	8268 KB	Output is correct
7	Correct	9 ms	8284 KB	Output is correct
8	Correct	8 ms	8284 KB	Output is correct
9	Correct	8 ms	8284 KB	Output is correct
10	Correct	10 ms	8284 KB	Output is correct
11	Correct	9 ms	8284 KB	Output is correct
12	Correct	8 ms	8284 KB	Output is correct
13	Correct	9 ms	8284 KB	Output is correct
14	Correct	8 ms	8284 KB	Output is correct
15	Correct	9 ms	8284 KB	Output is correct
16	Correct	3 ms	1628 KB	Output is correct
17	Correct	2 ms	1884 KB	Output is correct
18	Correct	2 ms	1884 KB	Output is correct
19	Correct	3 ms	1796 KB	Output is correct
20	Correct	2 ms	1872 KB	Output is correct
21	Correct	225 ms	7636 KB	Output is correct
22	Correct	218 ms	7764 KB	Output is correct
23	Correct	196 ms	7516 KB	Output is correct
24	Correct	221 ms	7516 KB	Output is correct
25	Correct	215 ms	7512 KB	Output is correct
26	Correct	415 ms	7384 KB	Output is correct
27	Correct	427 ms	7512 KB	Output is correct
28	Correct	418 ms	7392 KB	Output is correct
29	Correct	418 ms	7608 KB	Output is correct
30	Correct	9 ms	8284 KB	Output is correct
31	Correct	9 ms	8284 KB	Output is correct
32	Correct	9 ms	8284 KB	Output is correct
33	Correct	9 ms	8284 KB	Output is correct
34	Correct	10 ms	8436 KB	Output is correct
35	Correct	9 ms	8140 KB	Output is correct
36	Correct	9 ms	8336 KB	Output is correct
37	Correct	10 ms	8284 KB	Output is correct
38	Correct	9 ms	8296 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	600 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	2 ms	664 KB	Output is correct
4	Correct	3 ms	604 KB	Output is correct
5	Correct	3 ms	604 KB	Output is correct
6	Correct	4 ms	604 KB	Output is correct
7	Correct	5 ms	604 KB	Output is correct
8	Correct	5 ms	712 KB	Output is correct
9	Correct	5 ms	860 KB	Output is correct
10	Correct	5 ms	604 KB	Output is correct
11	Correct	3 ms	600 KB	Output is correct
12	Correct	2 ms	604 KB	Output is correct
13	Correct	2 ms	604 KB	Output is correct
14	Correct	2 ms	604 KB	Output is correct
15	Correct	2 ms	784 KB	Output is correct
16	Correct	2 ms	604 KB	Output is correct
17	Correct	2 ms	604 KB	Output is correct
18	Correct	2 ms	604 KB	Output is correct
19	Correct	2 ms	604 KB	Output is correct
20	Correct	2 ms	456 KB	Output is correct

Subtask #4
42.0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	8284 KB	Output is correct
2	Correct	8 ms	8284 KB	Output is correct
3	Correct	8 ms	8284 KB	Output is correct
4	Correct	8 ms	8440 KB	Output is correct
5	Correct	9 ms	8280 KB	Output is correct
6	Correct	8 ms	8268 KB	Output is correct
7	Correct	9 ms	8284 KB	Output is correct
8	Correct	8 ms	8284 KB	Output is correct
9	Correct	8 ms	8284 KB	Output is correct
10	Correct	10 ms	8284 KB	Output is correct
11	Correct	9 ms	8284 KB	Output is correct
12	Correct	8 ms	8284 KB	Output is correct
13	Correct	9 ms	8284 KB	Output is correct
14	Correct	8 ms	8284 KB	Output is correct
15	Correct	9 ms	8284 KB	Output is correct
16	Correct	3 ms	1628 KB	Output is correct
17	Correct	2 ms	1884 KB	Output is correct
18	Correct	2 ms	1884 KB	Output is correct
19	Correct	3 ms	1796 KB	Output is correct
20	Correct	2 ms	1872 KB	Output is correct
21	Correct	225 ms	7636 KB	Output is correct
22	Correct	218 ms	7764 KB	Output is correct
23	Correct	196 ms	7516 KB	Output is correct
24	Correct	221 ms	7516 KB	Output is correct
25	Correct	215 ms	7512 KB	Output is correct
26	Correct	415 ms	7384 KB	Output is correct
27	Correct	427 ms	7512 KB	Output is correct
28	Correct	418 ms	7392 KB	Output is correct
29	Correct	418 ms	7608 KB	Output is correct
30	Correct	9 ms	8284 KB	Output is correct
31	Correct	9 ms	8284 KB	Output is correct
32	Correct	9 ms	8284 KB	Output is correct
33	Correct	9 ms	8284 KB	Output is correct
34	Correct	10 ms	8436 KB	Output is correct
35	Correct	9 ms	8140 KB	Output is correct
36	Correct	9 ms	8336 KB	Output is correct
37	Correct	10 ms	8284 KB	Output is correct
38	Correct	9 ms	8296 KB	Output is correct
39	Correct	2 ms	600 KB	Output is correct
40	Correct	2 ms	604 KB	Output is correct
41	Correct	2 ms	664 KB	Output is correct
42	Correct	3 ms	604 KB	Output is correct
43	Correct	3 ms	604 KB	Output is correct
44	Correct	4 ms	604 KB	Output is correct
45	Correct	5 ms	604 KB	Output is correct
46	Correct	5 ms	712 KB	Output is correct
47	Correct	5 ms	860 KB	Output is correct
48	Correct	5 ms	604 KB	Output is correct
49	Correct	3 ms	600 KB	Output is correct
50	Correct	2 ms	604 KB	Output is correct
51	Correct	2 ms	604 KB	Output is correct
52	Correct	2 ms	604 KB	Output is correct
53	Correct	2 ms	784 KB	Output is correct
54	Correct	2 ms	604 KB	Output is correct
55	Correct	2 ms	604 KB	Output is correct
56	Correct	2 ms	604 KB	Output is correct
57	Correct	2 ms	604 KB	Output is correct
58	Correct	2 ms	456 KB	Output is correct
59	Correct	244 ms	8336 KB	Output is correct
60	Correct	226 ms	8280 KB	Output is correct
61	Correct	219 ms	8528 KB	Output is correct
62	Correct	244 ms	8284 KB	Output is correct
63	Correct	238 ms	8528 KB	Output is correct
64	Correct	473 ms	8332 KB	Output is correct
65	Correct	478 ms	8528 KB	Output is correct
66	Correct	477 ms	8332 KB	Output is correct
67	Correct	478 ms	8280 KB	Output is correct
68	Correct	479 ms	8284 KB	Output is correct
69	Correct	196 ms	8340 KB	Output is correct
70	Correct	210 ms	8284 KB	Output is correct
71	Correct	196 ms	8336 KB	Output is correct
72	Correct	203 ms	8284 KB	Output is correct
73	Correct	207 ms	8280 KB	Output is correct
74	Correct	50 ms	1880 KB	Output is correct
75	Correct	51 ms	1948 KB	Output is correct
76	Correct	52 ms	1884 KB	Output is correct
77	Correct	50 ms	1884 KB	Output is correct
78	Correct	52 ms	1896 KB	Output is correct

답안 #981183

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 22.0 / 22.0

Subtask #3 27.0 / 27.0

Subtask #4 42.0 / 42.0

Subtask #1
9.0 / 9.0

Subtask #2
22.0 / 22.0

Subtask #3
27.0 / 27.0

Subtask #4
42.0 / 42.0