Submission #163032

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
163032	2019-11-11T03:50:58 Z	HungAnhGoldIBO2020	Boat (APIO16_boat)	C++14	100 / 100	986 ms	508 KB

boat

#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=502;
const int mod=1e9+7;
int used[N],sum[N],dp[N],ndp[N],choose[N],rev[N];
vector<pair<int,int> > ope;
int binpow(int x,int y){
	int tich=1;
	while(y){
		if(y&1){
			tich*=x;
			tich%=mod;
		}
		x*=x;
		x%=mod;
		y>>=1;
	}
	return tich;
}
signed main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n,i,j,k,l;
	cin>>n;
	for(i=1;i<=n;i++){
		cin>>j>>k;
		k++;
		ope.push_back({j,i});
		ope.push_back({k,i});
	}
	sort(ope.begin(),ope.end());
	rev[0]=1;
	for(i=1;i<=n;i++){
		rev[i]=binpow(i,mod-2);
	}
	i=0;
	j=0;
	dp[0]=1;
	while(i<ope.size()){
		while(j<ope.size()&&ope[j].first==ope[i].first){
			used[ope[j].second]^=1;
			j++;
		}
		if(j==ope.size()){
			break;
		}
		for(k=1;k<=n;k++){
			sum[k]=sum[k-1]+used[k];
			choose[k]=0;
			//cout<<sum[k]<<' ';
		}
		//cout<<endl;
		int len=ope[j].first-ope[i].first,val=sum[n],c1,c2;
		//cout<<len<<' '<<val<<endl;
		for(k=1;k<=val;k++){
			c1=len;
			c2=1;
			assert(k<=n);
			for(l=0;l<min(k,len+1);l++){
				choose[k]+=c1*c2;
				choose[k]%=mod;
				c1=c1*(len-l-1);
				c1%=mod;
				c1=c1*rev[l+2];
				c1%=mod;
				c2=c2*(k-l-1);
				c2%=mod;
				c2=c2*rev[l+1];
				c2%=mod;
			}
		}
		for(k=0;k<=n;k++){
			ndp[k]=dp[k];
			if(used[k]){
				for(l=0;l<k;l++){
					ndp[k]+=dp[l]*choose[sum[k]-sum[l]];
//					if(k==2){
//						cout<<l<<' '<<dp[l]<<' '<<choose[sum[k]-sum[l]]<<' '<<sum[k]-sum[l]<<endl;
//					}
					ndp[k]%=mod;
				}
			}
		}
		for(k=0;k<=n;k++){
			dp[k]=ndp[k];
		//	cout<<dp[k]<<' ';
		}
		//cout<<"cac"<<endl;
		i=j;
	}
	int ans=0;
	for(i=1;i<=n;i++){
		ans+=dp[i];
		if(ans>=mod){
			ans-=mod;
		}
	}
	cout<<ans;
}
/*
3
1 2
3 4
5 6
3
1 2
4 5
7 8
26
*/

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:40:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while(i<ope.size()){
        ~^~~~~~~~~~~
boat.cpp:41:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   while(j<ope.size()&&ope[j].first==ope[i].first){
         ~^~~~~~~~~~~
boat.cpp:45:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(j==ope.size()){
      ~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	376 KB	Output is correct
2	Correct	5 ms	376 KB	Output is correct
3	Correct	5 ms	376 KB	Output is correct
4	Correct	5 ms	376 KB	Output is correct
5	Correct	5 ms	376 KB	Output is correct
6	Correct	5 ms	376 KB	Output is correct
7	Correct	6 ms	376 KB	Output is correct
8	Correct	5 ms	376 KB	Output is correct
9	Correct	5 ms	376 KB	Output is correct
10	Correct	5 ms	376 KB	Output is correct
11	Correct	5 ms	376 KB	Output is correct
12	Correct	5 ms	376 KB	Output is correct
13	Correct	5 ms	504 KB	Output is correct
14	Correct	5 ms	376 KB	Output is correct
15	Correct	5 ms	376 KB	Output is correct
16	Correct	4 ms	376 KB	Output is correct
17	Correct	4 ms	376 KB	Output is correct
18	Correct	4 ms	376 KB	Output is correct
19	Correct	4 ms	376 KB	Output is correct
20	Correct	3 ms	376 KB	Output is correct

Subtask #2
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	376 KB	Output is correct
2	Correct	5 ms	376 KB	Output is correct
3	Correct	5 ms	376 KB	Output is correct
4	Correct	5 ms	376 KB	Output is correct
5	Correct	5 ms	376 KB	Output is correct
6	Correct	5 ms	376 KB	Output is correct
7	Correct	6 ms	376 KB	Output is correct
8	Correct	5 ms	376 KB	Output is correct
9	Correct	5 ms	376 KB	Output is correct
10	Correct	5 ms	376 KB	Output is correct
11	Correct	5 ms	376 KB	Output is correct
12	Correct	5 ms	376 KB	Output is correct
13	Correct	5 ms	504 KB	Output is correct
14	Correct	5 ms	376 KB	Output is correct
15	Correct	5 ms	376 KB	Output is correct
16	Correct	4 ms	376 KB	Output is correct
17	Correct	4 ms	376 KB	Output is correct
18	Correct	4 ms	376 KB	Output is correct
19	Correct	4 ms	376 KB	Output is correct
20	Correct	3 ms	376 KB	Output is correct
21	Correct	231 ms	448 KB	Output is correct
22	Correct	222 ms	508 KB	Output is correct
23	Correct	208 ms	376 KB	Output is correct
24	Correct	224 ms	352 KB	Output is correct
25	Correct	218 ms	376 KB	Output is correct
26	Correct	312 ms	452 KB	Output is correct
27	Correct	319 ms	376 KB	Output is correct
28	Correct	387 ms	504 KB	Output is correct
29	Correct	309 ms	376 KB	Output is correct
30	Correct	7 ms	376 KB	Output is correct
31	Correct	7 ms	376 KB	Output is correct
32	Correct	6 ms	376 KB	Output is correct
33	Correct	7 ms	376 KB	Output is correct
34	Correct	8 ms	376 KB	Output is correct
35	Correct	6 ms	376 KB	Output is correct
36	Correct	7 ms	376 KB	Output is correct
37	Correct	12 ms	424 KB	Output is correct
38	Correct	6 ms	376 KB	Output is correct

Subtask #3
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	376 KB	Output is correct
2	Correct	5 ms	376 KB	Output is correct
3	Correct	6 ms	376 KB	Output is correct
4	Correct	6 ms	376 KB	Output is correct
5	Correct	6 ms	376 KB	Output is correct
6	Correct	10 ms	376 KB	Output is correct
7	Correct	9 ms	376 KB	Output is correct
8	Correct	10 ms	376 KB	Output is correct
9	Correct	10 ms	376 KB	Output is correct
10	Correct	10 ms	376 KB	Output is correct
11	Correct	6 ms	376 KB	Output is correct
12	Correct	5 ms	376 KB	Output is correct
13	Correct	6 ms	376 KB	Output is correct
14	Correct	5 ms	376 KB	Output is correct
15	Correct	7 ms	376 KB	Output is correct
16	Correct	4 ms	376 KB	Output is correct
17	Correct	4 ms	380 KB	Output is correct
18	Correct	4 ms	376 KB	Output is correct
19	Correct	4 ms	376 KB	Output is correct
20	Correct	4 ms	376 KB	Output is correct

Subtask #4
42.0 / 42.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	376 KB	Output is correct
2	Correct	5 ms	376 KB	Output is correct
3	Correct	5 ms	376 KB	Output is correct
4	Correct	5 ms	376 KB	Output is correct
5	Correct	5 ms	376 KB	Output is correct
6	Correct	5 ms	376 KB	Output is correct
7	Correct	6 ms	376 KB	Output is correct
8	Correct	5 ms	376 KB	Output is correct
9	Correct	5 ms	376 KB	Output is correct
10	Correct	5 ms	376 KB	Output is correct
11	Correct	5 ms	376 KB	Output is correct
12	Correct	5 ms	376 KB	Output is correct
13	Correct	5 ms	504 KB	Output is correct
14	Correct	5 ms	376 KB	Output is correct
15	Correct	5 ms	376 KB	Output is correct
16	Correct	4 ms	376 KB	Output is correct
17	Correct	4 ms	376 KB	Output is correct
18	Correct	4 ms	376 KB	Output is correct
19	Correct	4 ms	376 KB	Output is correct
20	Correct	3 ms	376 KB	Output is correct
21	Correct	231 ms	448 KB	Output is correct
22	Correct	222 ms	508 KB	Output is correct
23	Correct	208 ms	376 KB	Output is correct
24	Correct	224 ms	352 KB	Output is correct
25	Correct	218 ms	376 KB	Output is correct
26	Correct	312 ms	452 KB	Output is correct
27	Correct	319 ms	376 KB	Output is correct
28	Correct	387 ms	504 KB	Output is correct
29	Correct	309 ms	376 KB	Output is correct
30	Correct	7 ms	376 KB	Output is correct
31	Correct	7 ms	376 KB	Output is correct
32	Correct	6 ms	376 KB	Output is correct
33	Correct	7 ms	376 KB	Output is correct
34	Correct	8 ms	376 KB	Output is correct
35	Correct	6 ms	376 KB	Output is correct
36	Correct	7 ms	376 KB	Output is correct
37	Correct	12 ms	424 KB	Output is correct
38	Correct	6 ms	376 KB	Output is correct
39	Correct	6 ms	376 KB	Output is correct
40	Correct	5 ms	376 KB	Output is correct
41	Correct	6 ms	376 KB	Output is correct
42	Correct	6 ms	376 KB	Output is correct
43	Correct	6 ms	376 KB	Output is correct
44	Correct	10 ms	376 KB	Output is correct
45	Correct	9 ms	376 KB	Output is correct
46	Correct	10 ms	376 KB	Output is correct
47	Correct	10 ms	376 KB	Output is correct
48	Correct	10 ms	376 KB	Output is correct
49	Correct	6 ms	376 KB	Output is correct
50	Correct	5 ms	376 KB	Output is correct
51	Correct	6 ms	376 KB	Output is correct
52	Correct	5 ms	376 KB	Output is correct
53	Correct	7 ms	376 KB	Output is correct
54	Correct	4 ms	376 KB	Output is correct
55	Correct	4 ms	380 KB	Output is correct
56	Correct	4 ms	376 KB	Output is correct
57	Correct	4 ms	376 KB	Output is correct
58	Correct	4 ms	376 KB	Output is correct
59	Correct	499 ms	480 KB	Output is correct
60	Correct	453 ms	456 KB	Output is correct
61	Correct	430 ms	504 KB	Output is correct
62	Correct	505 ms	484 KB	Output is correct
63	Correct	477 ms	504 KB	Output is correct
64	Correct	940 ms	456 KB	Output is correct
65	Correct	941 ms	376 KB	Output is correct
66	Correct	945 ms	448 KB	Output is correct
67	Correct	986 ms	444 KB	Output is correct
68	Correct	936 ms	504 KB	Output is correct
69	Correct	393 ms	456 KB	Output is correct
70	Correct	397 ms	376 KB	Output is correct
71	Correct	392 ms	376 KB	Output is correct
72	Correct	408 ms	376 KB	Output is correct
73	Correct	422 ms	504 KB	Output is correct
74	Correct	72 ms	376 KB	Output is correct
75	Correct	68 ms	376 KB	Output is correct
76	Correct	73 ms	424 KB	Output is correct
77	Correct	73 ms	376 KB	Output is correct
78	Correct	74 ms	504 KB	Output is correct

Submission #163032

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