답안 #142986

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
142986	2019-08-12T13:59:40 Z	IC_COLDSTOP	Boat (APIO16_boat)	C++17	100 / 100	696 ms	12536 KB

boat

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
#define MP make_pair
#define pb push_back
#define F first
#define S second
#define pii pair<int,int>
#define REP(i,a,b) for(int i=a; i<b; i++)

const int MX=5e2+3, mod=1e9+7;

int n, m, dp[10][MX*2][2*MX], l[MX], r[MX], num[2*MX], p[MX*2];
map<int,int> mark;
vector<int> vec;

int pw(int a, int b){
	if(!b) return 1;
	int nsf=pw(a,b/2);
	nsf=nsf*nsf%mod;
	if(b&1) nsf*=a;
	return nsf%mod;
}

int32_t main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	REP(i,1,MX*2) p[i]=pw(i,mod-2);
	cin>>n;
	REP(i,0,n){
		cin>>l[i]>>r[i];
		r[i]++;
		if(!mark[l[i]]) mark[l[i]]=1, vec.pb(l[i]);
		if(!mark[r[i]]) mark[r[i]]=1, vec.pb(r[i]);
	}
	m=vec.size();
	//cout<<m<<endl;
	sort(vec.begin(), vec.end());
	int mm=0;
	dp[mm][0][0]=1;
	REP(j,1,m){
		dp[mm][j][0]=dp[mm][j-1][0]+dp[mm][j-1][1];
		if(l[0]<vec[j] && r[0]>=vec[j]) dp[mm][j][1]=(vec[j]-vec[j-1])%mod, num[j]++;
	//	cout<<j<<" "<<dp[mm][j][0]<<" "<<dp[mm][j][1]<<" "<<vec[j]<<" "<<vec[j-1]<<endl;
	}
	REP(i,1,n){
		mm^=1;
		REP(j,1,m){
			dp[mm][j][0]=0;
			if(j>1) REP(w,0,num[j-1]+1){
				dp[mm][j][0]=(dp[mm][j-1][w]+dp[mm][j][0])%mod;
			//	if(i==2 && j==2) cout<<" B "<<dp[mm][j][0]<<" "<<dp[mm][j-1][w]<<endl;
			}
			else dp[mm][j][0]=1;
			int flg=0, cnt=vec[j]-vec[j-1];
			if(l[i]<vec[j] && r[i]>=vec[j]) flg=1, num[j]++;
			REP(w,1,num[j]+1){
				dp[mm][j][w]=dp[mm^1][j][w];
				if(flg){
					dp[mm][j][w]=((ll)dp[mm][j][w] +  (ll)dp[mm^1][j][w-1]  *  (cnt-w+1) %mod  *  p[w]%mod )%mod;
				}
			}
			//cout<<i<<" "<<j<<" "<<flg<<" "<<num[j]<<endl;
		}
	}
	//cout<<endl;
	int sum=0;
	REP(w,0,MX*2){
		sum=(sum+dp[mm][m-1][w])%mod;
		//cout<<w<<" "<<dp[mm][m-1][w]<<" "<<dp[mm][m-2][w]<<" "<<dp[mm][m-3][w]<<" "<<dp[mm^1][m-1][w]<<" "<<dp[mm^1][m-2][w]<<" "<<dp[mm^1][m-3][w]<<endl;
	}
	cout<<sum-1<<endl;
	return 0;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	14 ms	8440 KB	Output is correct
2	Correct	14 ms	8440 KB	Output is correct
3	Correct	16 ms	8440 KB	Output is correct
4	Correct	14 ms	8440 KB	Output is correct
5	Correct	14 ms	8440 KB	Output is correct
6	Correct	14 ms	8440 KB	Output is correct
7	Correct	14 ms	8440 KB	Output is correct
8	Correct	16 ms	8444 KB	Output is correct
9	Correct	14 ms	8440 KB	Output is correct
10	Correct	14 ms	8440 KB	Output is correct
11	Correct	13 ms	8440 KB	Output is correct
12	Correct	14 ms	8440 KB	Output is correct
13	Correct	14 ms	8568 KB	Output is correct
14	Correct	14 ms	8440 KB	Output is correct
15	Correct	14 ms	8440 KB	Output is correct
16	Correct	5 ms	1844 KB	Output is correct
17	Correct	5 ms	1912 KB	Output is correct
18	Correct	6 ms	1912 KB	Output is correct
19	Correct	5 ms	1912 KB	Output is correct
20	Correct	6 ms	1912 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	14 ms	8440 KB	Output is correct
2	Correct	14 ms	8440 KB	Output is correct
3	Correct	16 ms	8440 KB	Output is correct
4	Correct	14 ms	8440 KB	Output is correct
5	Correct	14 ms	8440 KB	Output is correct
6	Correct	14 ms	8440 KB	Output is correct
7	Correct	14 ms	8440 KB	Output is correct
8	Correct	16 ms	8444 KB	Output is correct
9	Correct	14 ms	8440 KB	Output is correct
10	Correct	14 ms	8440 KB	Output is correct
11	Correct	13 ms	8440 KB	Output is correct
12	Correct	14 ms	8440 KB	Output is correct
13	Correct	14 ms	8568 KB	Output is correct
14	Correct	14 ms	8440 KB	Output is correct
15	Correct	14 ms	8440 KB	Output is correct
16	Correct	5 ms	1844 KB	Output is correct
17	Correct	5 ms	1912 KB	Output is correct
18	Correct	6 ms	1912 KB	Output is correct
19	Correct	5 ms	1912 KB	Output is correct
20	Correct	6 ms	1912 KB	Output is correct
21	Correct	367 ms	10200 KB	Output is correct
22	Correct	365 ms	10192 KB	Output is correct
23	Correct	335 ms	10056 KB	Output is correct
24	Correct	357 ms	10104 KB	Output is correct
25	Correct	377 ms	10360 KB	Output is correct
26	Correct	612 ms	10844 KB	Output is correct
27	Correct	614 ms	11128 KB	Output is correct
28	Correct	599 ms	10972 KB	Output is correct
29	Correct	593 ms	10848 KB	Output is correct
30	Correct	16 ms	8440 KB	Output is correct
31	Correct	16 ms	8440 KB	Output is correct
32	Correct	15 ms	8440 KB	Output is correct
33	Correct	16 ms	8568 KB	Output is correct
34	Correct	15 ms	8440 KB	Output is correct
35	Correct	18 ms	8440 KB	Output is correct
36	Correct	16 ms	8440 KB	Output is correct
37	Correct	18 ms	8440 KB	Output is correct
38	Correct	17 ms	8444 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	2168 KB	Output is correct
2	Correct	6 ms	2040 KB	Output is correct
3	Correct	7 ms	2040 KB	Output is correct
4	Correct	7 ms	2088 KB	Output is correct
5	Correct	7 ms	2144 KB	Output is correct
6	Correct	9 ms	2168 KB	Output is correct
7	Correct	10 ms	2168 KB	Output is correct
8	Correct	9 ms	2168 KB	Output is correct
9	Correct	9 ms	2168 KB	Output is correct
10	Correct	9 ms	2168 KB	Output is correct
11	Correct	8 ms	2168 KB	Output is correct
12	Correct	7 ms	2040 KB	Output is correct
13	Correct	8 ms	2040 KB	Output is correct
14	Correct	7 ms	2040 KB	Output is correct
15	Correct	7 ms	2040 KB	Output is correct
16	Correct	5 ms	1400 KB	Output is correct
17	Correct	5 ms	1272 KB	Output is correct
18	Correct	5 ms	1400 KB	Output is correct
19	Correct	5 ms	1272 KB	Output is correct
20	Correct	5 ms	1272 KB	Output is correct

Subtask #4
42.0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	14 ms	8440 KB	Output is correct
2	Correct	14 ms	8440 KB	Output is correct
3	Correct	16 ms	8440 KB	Output is correct
4	Correct	14 ms	8440 KB	Output is correct
5	Correct	14 ms	8440 KB	Output is correct
6	Correct	14 ms	8440 KB	Output is correct
7	Correct	14 ms	8440 KB	Output is correct
8	Correct	16 ms	8444 KB	Output is correct
9	Correct	14 ms	8440 KB	Output is correct
10	Correct	14 ms	8440 KB	Output is correct
11	Correct	13 ms	8440 KB	Output is correct
12	Correct	14 ms	8440 KB	Output is correct
13	Correct	14 ms	8568 KB	Output is correct
14	Correct	14 ms	8440 KB	Output is correct
15	Correct	14 ms	8440 KB	Output is correct
16	Correct	5 ms	1844 KB	Output is correct
17	Correct	5 ms	1912 KB	Output is correct
18	Correct	6 ms	1912 KB	Output is correct
19	Correct	5 ms	1912 KB	Output is correct
20	Correct	6 ms	1912 KB	Output is correct
21	Correct	367 ms	10200 KB	Output is correct
22	Correct	365 ms	10192 KB	Output is correct
23	Correct	335 ms	10056 KB	Output is correct
24	Correct	357 ms	10104 KB	Output is correct
25	Correct	377 ms	10360 KB	Output is correct
26	Correct	612 ms	10844 KB	Output is correct
27	Correct	614 ms	11128 KB	Output is correct
28	Correct	599 ms	10972 KB	Output is correct
29	Correct	593 ms	10848 KB	Output is correct
30	Correct	16 ms	8440 KB	Output is correct
31	Correct	16 ms	8440 KB	Output is correct
32	Correct	15 ms	8440 KB	Output is correct
33	Correct	16 ms	8568 KB	Output is correct
34	Correct	15 ms	8440 KB	Output is correct
35	Correct	18 ms	8440 KB	Output is correct
36	Correct	16 ms	8440 KB	Output is correct
37	Correct	18 ms	8440 KB	Output is correct
38	Correct	17 ms	8444 KB	Output is correct
39	Correct	7 ms	2168 KB	Output is correct
40	Correct	6 ms	2040 KB	Output is correct
41	Correct	7 ms	2040 KB	Output is correct
42	Correct	7 ms	2088 KB	Output is correct
43	Correct	7 ms	2144 KB	Output is correct
44	Correct	9 ms	2168 KB	Output is correct
45	Correct	10 ms	2168 KB	Output is correct
46	Correct	9 ms	2168 KB	Output is correct
47	Correct	9 ms	2168 KB	Output is correct
48	Correct	9 ms	2168 KB	Output is correct
49	Correct	8 ms	2168 KB	Output is correct
50	Correct	7 ms	2040 KB	Output is correct
51	Correct	8 ms	2040 KB	Output is correct
52	Correct	7 ms	2040 KB	Output is correct
53	Correct	7 ms	2040 KB	Output is correct
54	Correct	5 ms	1400 KB	Output is correct
55	Correct	5 ms	1272 KB	Output is correct
56	Correct	5 ms	1400 KB	Output is correct
57	Correct	5 ms	1272 KB	Output is correct
58	Correct	5 ms	1272 KB	Output is correct
59	Correct	410 ms	11128 KB	Output is correct
60	Correct	379 ms	11036 KB	Output is correct
61	Correct	383 ms	10896 KB	Output is correct
62	Correct	419 ms	11256 KB	Output is correct
63	Correct	395 ms	11060 KB	Output is correct
64	Correct	687 ms	12292 KB	Output is correct
65	Correct	696 ms	12420 KB	Output is correct
66	Correct	692 ms	12368 KB	Output is correct
67	Correct	685 ms	12472 KB	Output is correct
68	Correct	688 ms	12536 KB	Output is correct
69	Correct	408 ms	10884 KB	Output is correct
70	Correct	430 ms	11128 KB	Output is correct
71	Correct	425 ms	11128 KB	Output is correct
72	Correct	442 ms	11108 KB	Output is correct
73	Correct	441 ms	11128 KB	Output is correct
74	Correct	78 ms	2364 KB	Output is correct
75	Correct	78 ms	2424 KB	Output is correct
76	Correct	79 ms	2296 KB	Output is correct
77	Correct	79 ms	2424 KB	Output is correct
78	Correct	79 ms	2296 KB	Output is correct

답안 #142986

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