oj.uz

답안 #255088

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
255088 2020-07-31T09:06:46 Z maximath_1 Boat (APIO16_boat) C++11
100 / 100
 448 ms 8440 KB 
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
#define ll long long
const ll mod = 1e9 + 7;

int n;
ll st[1005], ed[1005], len[1005];
ll inv[1005], dp[1005][1005];
vector<ll> cc;

ll add(ll a, ll b){
	ll res = a + b;
	if(res >= mod) res -= mod;
	return res;
}

ll mul(ll a, ll b){
	return (a * 1ll * b) % mod;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);

	cin >> n;
	for(int i = 1; i <= n; i ++){
		cin >> st[i] >> ed[i];
		ed[i] ++;
	}

	inv[1] = 1ll;
	for(int i = 2; i <= n; i ++)
		inv[i] = mul(mod / i, mod - inv[mod % i]);

	for(int i = 1; i <= n; i ++){
		cc.push_back(st[i]);cc.push_back(ed[i]);
	}
	sort(cc.begin(), cc.end());
	cc.erase(unique(cc.begin(), cc.end()), cc.end());

	for(int i = 1; i <= n; i ++){
		st[i] = upper_bound(cc.begin(), cc.end(), st[i]) - cc.begin();
		ed[i] = upper_bound(cc.begin(), cc.end(), ed[i]) - cc.begin();
	}

	int sz = cc.size() - 1;
	for(int i = 1; i <= sz; i ++)
		len[i] = cc[i] - cc[i - 1];

	dp[0][0] = 1ll;
	for(int i = 1; i <= sz; i ++){
		dp[i][0] = 1ll;
		for(int j = 1; j <= n; j ++){
			ll choose = len[i]; int cnt = 1;
			dp[i][j] = dp[i - 1][j];
			if(i < st[j] || i >= ed[j]) continue;

			for(int k = j - 1; k >= 0; k --){
				dp[i][j] = add(dp[i][j], mul(dp[i - 1][k], choose));
				if(st[k] <= i && i < ed[k]){
					choose = mul(choose, mul(add(cnt, len[i]), inv[cnt + 1]));
					cnt ++;
				}
			}
		}
	}

	ll ans = 0ll;
	for(int i = 1; i <= n; i ++)
		ans = add(ans, dp[sz][i]);
	cout << ans << endl;
	return 0;
}

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 8192 KB Output is correct
2 Correct 7 ms 8192 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8192 KB Output is correct
5 Correct 6 ms 8192 KB Output is correct
6 Correct 5 ms 8192 KB Output is correct
7 Correct 5 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 5 ms 8320 KB Output is correct
10 Correct 5 ms 8192 KB Output is correct
11 Correct 5 ms 8192 KB Output is correct
12 Correct 8 ms 8192 KB Output is correct
13 Correct 5 ms 8192 KB Output is correct
14 Correct 5 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 2 ms 1792 KB Output is correct
17 Correct 2 ms 1920 KB Output is correct
18 Correct 3 ms 1792 KB Output is correct
19 Correct 3 ms 1920 KB Output is correct
20 Correct 3 ms 1792 KB Output is correct

Subtask #2
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 8192 KB Output is correct
2 Correct 7 ms 8192 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8192 KB Output is correct
5 Correct 6 ms 8192 KB Output is correct
6 Correct 5 ms 8192 KB Output is correct
7 Correct 5 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 5 ms 8320 KB Output is correct
10 Correct 5 ms 8192 KB Output is correct
11 Correct 5 ms 8192 KB Output is correct
12 Correct 8 ms 8192 KB Output is correct
13 Correct 5 ms 8192 KB Output is correct
14 Correct 5 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 2 ms 1792 KB Output is correct
17 Correct 2 ms 1920 KB Output is correct
18 Correct 3 ms 1792 KB Output is correct
19 Correct 3 ms 1920 KB Output is correct
20 Correct 3 ms 1792 KB Output is correct
21 Correct 250 ms 7516 KB Output is correct
22 Correct 231 ms 7676 KB Output is correct
23 Correct 216 ms 7544 KB Output is correct
24 Correct 246 ms 7416 KB Output is correct
25 Correct 243 ms 7544 KB Output is correct
26 Correct 390 ms 7288 KB Output is correct
27 Correct 382 ms 7416 KB Output is correct
28 Correct 387 ms 7288 KB Output is correct
29 Correct 366 ms 7288 KB Output is correct
30 Correct 6 ms 8192 KB Output is correct
31 Correct 6 ms 8192 KB Output is correct
32 Correct 8 ms 8192 KB Output is correct
33 Correct 8 ms 8320 KB Output is correct
34 Correct 6 ms 8192 KB Output is correct
35 Correct 8 ms 8192 KB Output is correct
36 Correct 10 ms 8192 KB Output is correct
37 Correct 8 ms 8192 KB Output is correct
38 Correct 8 ms 8192 KB Output is correct

Subtask #3
27.0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 1280 KB Output is correct
2 Correct 3 ms 1280 KB Output is correct
3 Correct 3 ms 1280 KB Output is correct
4 Correct 3 ms 1280 KB Output is correct
5 Correct 3 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 4 ms 1280 KB Output is correct
8 Correct 5 ms 1280 KB Output is correct
9 Correct 5 ms 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 3 ms 1280 KB Output is correct
12 Correct 3 ms 1280 KB Output is correct
13 Correct 3 ms 1280 KB Output is correct
14 Correct 3 ms 1280 KB Output is correct
15 Correct 3 ms 1280 KB Output is correct
16 Correct 2 ms 896 KB Output is correct
17 Correct 2 ms 896 KB Output is correct
18 Correct 2 ms 896 KB Output is correct
19 Correct 2 ms 896 KB Output is correct
20 Correct 2 ms 896 KB Output is correct

Subtask #4
42.0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 8192 KB Output is correct
2 Correct 7 ms 8192 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8192 KB Output is correct
5 Correct 6 ms 8192 KB Output is correct
6 Correct 5 ms 8192 KB Output is correct
7 Correct 5 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 5 ms 8320 KB Output is correct
10 Correct 5 ms 8192 KB Output is correct
11 Correct 5 ms 8192 KB Output is correct
12 Correct 8 ms 8192 KB Output is correct
13 Correct 5 ms 8192 KB Output is correct
14 Correct 5 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 2 ms 1792 KB Output is correct
17 Correct 2 ms 1920 KB Output is correct
18 Correct 3 ms 1792 KB Output is correct
19 Correct 3 ms 1920 KB Output is correct
20 Correct 3 ms 1792 KB Output is correct
21 Correct 250 ms 7516 KB Output is correct
22 Correct 231 ms 7676 KB Output is correct
23 Correct 216 ms 7544 KB Output is correct
24 Correct 246 ms 7416 KB Output is correct
25 Correct 243 ms 7544 KB Output is correct
26 Correct 390 ms 7288 KB Output is correct
27 Correct 382 ms 7416 KB Output is correct
28 Correct 387 ms 7288 KB Output is correct
29 Correct 366 ms 7288 KB Output is correct
30 Correct 6 ms 8192 KB Output is correct
31 Correct 6 ms 8192 KB Output is correct
32 Correct 8 ms 8192 KB Output is correct
33 Correct 8 ms 8320 KB Output is correct
34 Correct 6 ms 8192 KB Output is correct
35 Correct 8 ms 8192 KB Output is correct
36 Correct 10 ms 8192 KB Output is correct
37 Correct 8 ms 8192 KB Output is correct
38 Correct 8 ms 8192 KB Output is correct
39 Correct 3 ms 1280 KB Output is correct
40 Correct 3 ms 1280 KB Output is correct
41 Correct 3 ms 1280 KB Output is correct
42 Correct 3 ms 1280 KB Output is correct
43 Correct 3 ms 1280 KB Output is correct
44 Correct 5 ms 1280 KB Output is correct
45 Correct 4 ms 1280 KB Output is correct
46 Correct 5 ms 1280 KB Output is correct
47 Correct 5 ms 1280 KB Output is correct
48 Correct 5 ms 1280 KB Output is correct
49 Correct 3 ms 1280 KB Output is correct
50 Correct 3 ms 1280 KB Output is correct
51 Correct 3 ms 1280 KB Output is correct
52 Correct 3 ms 1280 KB Output is correct
53 Correct 3 ms 1280 KB Output is correct
54 Correct 2 ms 896 KB Output is correct
55 Correct 2 ms 896 KB Output is correct
56 Correct 2 ms 896 KB Output is correct
57 Correct 2 ms 896 KB Output is correct
58 Correct 2 ms 896 KB Output is correct
59 Correct 264 ms 8176 KB Output is correct
60 Correct 249 ms 8184 KB Output is correct
61 Correct 237 ms 8184 KB Output is correct
62 Correct 272 ms 8184 KB Output is correct
63 Correct 258 ms 8312 KB Output is correct
64 Correct 443 ms 8184 KB Output is correct
65 Correct 438 ms 8184 KB Output is correct
66 Correct 448 ms 8184 KB Output is correct
67 Correct 436 ms 8440 KB Output is correct
68 Correct 434 ms 8312 KB Output is correct
69 Correct 208 ms 8312 KB Output is correct
70 Correct 205 ms 8292 KB Output is correct
71 Correct 204 ms 8312 KB Output is correct
72 Correct 215 ms 8184 KB Output is correct
73 Correct 216 ms 8312 KB Output is correct
74 Correct 51 ms 1784 KB Output is correct
75 Correct 48 ms 1784 KB Output is correct
76 Correct 55 ms 1784 KB Output is correct
77 Correct 51 ms 1784 KB Output is correct
78 Correct 53 ms 1784 KB Output is correct