답안 #246028

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
246028	2020-07-08T03:46:37 Z	wwdd	Boat (APIO16_boat)	C++14	100 / 100	614 ms	12664 KB

boat

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MN = 510;
const ll M = 1e9+7;
ll dp[2][MN*2][MN];
ll cof[MN*2][MN];
ll nv[MN],sz[2*MN];
inline ll mul(ll a, ll b) {return (a*b)%M;}
ll bp(ll b, ll p) {
	ll ac = 1;
	while(p) {
		if(p&1) {ac = mul(ac,b);}
		b = mul(b,b);
		p >>= 1;
	}
	return ac;
}
ll inv(ll v) {return bp(v,M-2);}
void pre(int pct, int n) {
	for(int i=1;i<=n+1;i++) {
		nv[i] = inv(i);
	}
	for(int i=0;i<pct-1;i++) {
		cof[i][0] = sz[i];
	}
	for(int i=1;i<=n;i++) {
		for(int j=0;j<pct-1;j++) {
			cof[j][i] = mul(cof[j][i-1],mul(sz[j]-i,nv[i+1]));
		}
	}
}
ll st[MN],ed[MN];
int main() {
	ll n;
	cin >> n;
	map<ll,ll> bo;
	for(int i=0;i<n;i++) {
		cin >> st[i] >> ed[i];
		bo[st[i]] = -1;
		bo[ed[i]+1] = -1;
	}
	int pct = 0;
	ll ls = -1;
	for(auto& it: bo) {
		it.second = pct;
		if(pct > 0) {
			sz[pct-1] = it.first-ls;
		}
		ls = it.first;
		pct++;
	}
	for(int i=0;i<n;i++) {
		st[i] = bo[st[i]];
		ed[i] = bo[ed[i]+1];
	}
	pre(pct, n);
	int cu = 0;
	memset(dp,0,sizeof(dp));
	for(int i=0;i<n;i++) {
		int nu = 1-cu;
		for(int j=0;j<pct-1;j++) {
			for(int k=0;k<=i;k++) {
				dp[nu][j][k] = dp[cu][j][k];
			}
		}
		ll rs = 1;
		for(int j=0;j<st[i];j++) {
			for(int k=0;k<=i;k++) {
				rs += mul(dp[cu][j][k],cof[j][k]);
				if(rs >= M) {rs -= M;}
			}
		}
		for(int j=st[i];j<ed[i];j++) {
			dp[nu][j][0] += rs;
			if(dp[nu][j][0] >= M) {dp[nu][j][0] -= M;}
			for(int k=0;k<=i;k++) {
				dp[nu][j][k+1] += dp[cu][j][k];
				if(dp[nu][j][k+1] >= M) {
					dp[nu][j][k+1] -= M;
				}
				rs += mul(dp[cu][j][k],cof[j][k]);
				if(rs >= M) {rs -= M;}
			}
		}
		cu = nu;
	}
	ll res = 0;
	for(int i=0;i<pct-1;i++) {
		for(int j=0;j<=n;j++) {
			res += mul(dp[cu][i][j],cof[i][j]);
		}
	}
	res %= M;
	cout << res << '\n';
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	385 ms	12544 KB	Output is correct
2	Correct	446 ms	12664 KB	Output is correct
3	Correct	432 ms	12664 KB	Output is correct
4	Correct	614 ms	12544 KB	Output is correct
5	Correct	425 ms	12664 KB	Output is correct
6	Correct	474 ms	12544 KB	Output is correct
7	Correct	494 ms	12588 KB	Output is correct
8	Correct	457 ms	12544 KB	Output is correct
9	Correct	443 ms	12544 KB	Output is correct
10	Correct	441 ms	12664 KB	Output is correct
11	Correct	469 ms	12544 KB	Output is correct
12	Correct	436 ms	12664 KB	Output is correct
13	Correct	444 ms	12664 KB	Output is correct
14	Correct	474 ms	12664 KB	Output is correct
15	Correct	442 ms	12664 KB	Output is correct
16	Correct	53 ms	9216 KB	Output is correct
17	Correct	55 ms	9344 KB	Output is correct
18	Correct	54 ms	9216 KB	Output is correct
19	Correct	55 ms	9216 KB	Output is correct
20	Correct	87 ms	9216 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	385 ms	12544 KB	Output is correct
2	Correct	446 ms	12664 KB	Output is correct
3	Correct	432 ms	12664 KB	Output is correct
4	Correct	614 ms	12544 KB	Output is correct
5	Correct	425 ms	12664 KB	Output is correct
6	Correct	474 ms	12544 KB	Output is correct
7	Correct	494 ms	12588 KB	Output is correct
8	Correct	457 ms	12544 KB	Output is correct
9	Correct	443 ms	12544 KB	Output is correct
10	Correct	441 ms	12664 KB	Output is correct
11	Correct	469 ms	12544 KB	Output is correct
12	Correct	436 ms	12664 KB	Output is correct
13	Correct	444 ms	12664 KB	Output is correct
14	Correct	474 ms	12664 KB	Output is correct
15	Correct	442 ms	12664 KB	Output is correct
16	Correct	53 ms	9216 KB	Output is correct
17	Correct	55 ms	9344 KB	Output is correct
18	Correct	54 ms	9216 KB	Output is correct
19	Correct	55 ms	9216 KB	Output is correct
20	Correct	87 ms	9216 KB	Output is correct
21	Correct	503 ms	12280 KB	Output is correct
22	Correct	444 ms	12280 KB	Output is correct
23	Correct	432 ms	12280 KB	Output is correct
24	Correct	437 ms	12280 KB	Output is correct
25	Correct	433 ms	12160 KB	Output is correct
26	Correct	491 ms	12032 KB	Output is correct
27	Correct	485 ms	12160 KB	Output is correct
28	Correct	474 ms	12032 KB	Output is correct
29	Correct	495 ms	12152 KB	Output is correct
30	Correct	445 ms	12544 KB	Output is correct
31	Correct	452 ms	12536 KB	Output is correct
32	Correct	492 ms	12664 KB	Output is correct
33	Correct	466 ms	12664 KB	Output is correct
34	Correct	445 ms	12664 KB	Output is correct
35	Correct	393 ms	12664 KB	Output is correct
36	Correct	440 ms	12664 KB	Output is correct
37	Correct	435 ms	12664 KB	Output is correct
38	Correct	402 ms	12544 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	9344 KB	Output is correct
2	Correct	13 ms	9344 KB	Output is correct
3	Correct	13 ms	9344 KB	Output is correct
4	Correct	19 ms	9344 KB	Output is correct
5	Correct	19 ms	9344 KB	Output is correct
6	Correct	14 ms	9344 KB	Output is correct
7	Correct	13 ms	9344 KB	Output is correct
8	Correct	13 ms	9344 KB	Output is correct
9	Correct	13 ms	9344 KB	Output is correct
10	Correct	13 ms	9344 KB	Output is correct
11	Correct	13 ms	9344 KB	Output is correct
12	Correct	13 ms	9344 KB	Output is correct
13	Correct	13 ms	9344 KB	Output is correct
14	Correct	15 ms	9344 KB	Output is correct
15	Correct	13 ms	9264 KB	Output is correct
16	Correct	11 ms	8960 KB	Output is correct
17	Correct	11 ms	8960 KB	Output is correct
18	Correct	11 ms	8960 KB	Output is correct
19	Correct	11 ms	8960 KB	Output is correct
20	Correct	11 ms	8960 KB	Output is correct

Subtask #4
42.0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	385 ms	12544 KB	Output is correct
2	Correct	446 ms	12664 KB	Output is correct
3	Correct	432 ms	12664 KB	Output is correct
4	Correct	614 ms	12544 KB	Output is correct
5	Correct	425 ms	12664 KB	Output is correct
6	Correct	474 ms	12544 KB	Output is correct
7	Correct	494 ms	12588 KB	Output is correct
8	Correct	457 ms	12544 KB	Output is correct
9	Correct	443 ms	12544 KB	Output is correct
10	Correct	441 ms	12664 KB	Output is correct
11	Correct	469 ms	12544 KB	Output is correct
12	Correct	436 ms	12664 KB	Output is correct
13	Correct	444 ms	12664 KB	Output is correct
14	Correct	474 ms	12664 KB	Output is correct
15	Correct	442 ms	12664 KB	Output is correct
16	Correct	53 ms	9216 KB	Output is correct
17	Correct	55 ms	9344 KB	Output is correct
18	Correct	54 ms	9216 KB	Output is correct
19	Correct	55 ms	9216 KB	Output is correct
20	Correct	87 ms	9216 KB	Output is correct
21	Correct	503 ms	12280 KB	Output is correct
22	Correct	444 ms	12280 KB	Output is correct
23	Correct	432 ms	12280 KB	Output is correct
24	Correct	437 ms	12280 KB	Output is correct
25	Correct	433 ms	12160 KB	Output is correct
26	Correct	491 ms	12032 KB	Output is correct
27	Correct	485 ms	12160 KB	Output is correct
28	Correct	474 ms	12032 KB	Output is correct
29	Correct	495 ms	12152 KB	Output is correct
30	Correct	445 ms	12544 KB	Output is correct
31	Correct	452 ms	12536 KB	Output is correct
32	Correct	492 ms	12664 KB	Output is correct
33	Correct	466 ms	12664 KB	Output is correct
34	Correct	445 ms	12664 KB	Output is correct
35	Correct	393 ms	12664 KB	Output is correct
36	Correct	440 ms	12664 KB	Output is correct
37	Correct	435 ms	12664 KB	Output is correct
38	Correct	402 ms	12544 KB	Output is correct
39	Correct	13 ms	9344 KB	Output is correct
40	Correct	13 ms	9344 KB	Output is correct
41	Correct	13 ms	9344 KB	Output is correct
42	Correct	19 ms	9344 KB	Output is correct
43	Correct	19 ms	9344 KB	Output is correct
44	Correct	14 ms	9344 KB	Output is correct
45	Correct	13 ms	9344 KB	Output is correct
46	Correct	13 ms	9344 KB	Output is correct
47	Correct	13 ms	9344 KB	Output is correct
48	Correct	13 ms	9344 KB	Output is correct
49	Correct	13 ms	9344 KB	Output is correct
50	Correct	13 ms	9344 KB	Output is correct
51	Correct	13 ms	9344 KB	Output is correct
52	Correct	15 ms	9344 KB	Output is correct
53	Correct	13 ms	9264 KB	Output is correct
54	Correct	11 ms	8960 KB	Output is correct
55	Correct	11 ms	8960 KB	Output is correct
56	Correct	11 ms	8960 KB	Output is correct
57	Correct	11 ms	8960 KB	Output is correct
58	Correct	11 ms	8960 KB	Output is correct
59	Correct	530 ms	12544 KB	Output is correct
60	Correct	510 ms	12664 KB	Output is correct
61	Correct	497 ms	12664 KB	Output is correct
62	Correct	487 ms	12544 KB	Output is correct
63	Correct	508 ms	12544 KB	Output is correct
64	Correct	595 ms	12664 KB	Output is correct
65	Correct	585 ms	12664 KB	Output is correct
66	Correct	579 ms	12592 KB	Output is correct
67	Correct	605 ms	12592 KB	Output is correct
68	Correct	558 ms	12664 KB	Output is correct
69	Correct	512 ms	12664 KB	Output is correct
70	Correct	537 ms	12544 KB	Output is correct
71	Correct	487 ms	12664 KB	Output is correct
72	Correct	506 ms	12664 KB	Output is correct
73	Correct	507 ms	12544 KB	Output is correct
74	Correct	81 ms	9216 KB	Output is correct
75	Correct	79 ms	9216 KB	Output is correct
76	Correct	79 ms	9216 KB	Output is correct
77	Correct	80 ms	9216 KB	Output is correct
78	Correct	83 ms	9216 KB	Output is correct

답안 #246028

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