Submission #764509

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
764509	2023-06-23T13:46:15 Z	Ahmed57	Boat (APIO16_boat)	C++17	100 / 100	1453 ms	8308 KB

boat

#include <bits/stdc++.h>
using namespace std;
long long mod = 1000000007;
long long fast(long long a,long long b){
    if(b==0)return 1;
    if(b==1)return a;
    long long h = fast(a,b/2);h*=h;h%=mod;
    if(b%2==0)return h;
    else return (h*a)%mod;
}
signed main(){
    ios_base::sync_with_stdio(false);cin.tie(0);
    int n;
    cin>>n;
    long long rev[n+1];
    for(int i = 0;i<=n;i++){
        rev[i] = fast(i,mod-2);
    }
    vector<pair<long long,long long>> v;
    vector<long long> ans;
    for(int i = 0;i<n;i++){
        long long x,y;
        cin>>x>>y;
        v.push_back({x,y});
        ans.push_back(x-1);
        ans.push_back(y);
    }
    ans.push_back(0);
    sort(ans.begin(),ans.end());
    ans.resize(unique(ans.begin(),ans.end())-ans.begin());
    long long fin = 0;
    long long dp[2001][501];
    memset(dp,0,sizeof dp);
    long long ps[2001];
    dp[0][0] = 1;
    long long sz = ans.size()+1;
    for(int i = 0;i<=sz+8;i++){
        ps[i] = 1;
    }
    for(int i=1;i<=n;i++){
		int l=lower_bound(ans.begin(),ans.end(),v[i-1].first)-ans.begin();
		int r=lower_bound(ans.begin(),ans.end(),v[i-1].second)-ans.begin();
		for(int j=l;j<=r;j++){
			long long cnt=ans[j]-ans[j-1];
			for(long long h=n;h>=2;h--){
				dp[j][h]=(dp[j][h]+dp[j][h-1]*(cnt-(h-1))%mod*rev[h])%mod;
			}
			dp[j][1]=(dp[j][1]+ps[j-1]*cnt)%mod;
		}
		ps[0]=dp[0][0];
		for(int i=1;i<=sz+9;i++){
			ps[i]=ps[i-1];
			for(int h=0;h<=n;h++){
				ps[i]+=dp[i][h];
			}
			ps[i]%=mod;
		}
	}
    cout<<(ps[sz+8]+(mod-1))%mod<<endl;
}
/*
1 4
3 4
{1,3},{1,4},{2,3},{2,4},{3,4}
*/

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:31:15: warning: unused variable 'fin' [-Wunused-variable]
   31 |     long long fin = 0;
      |               ^~~

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	117 ms	8148 KB	Output is correct
2	Correct	101 ms	8184 KB	Output is correct
3	Correct	119 ms	8200 KB	Output is correct
4	Correct	107 ms	8148 KB	Output is correct
5	Correct	114 ms	8188 KB	Output is correct
6	Correct	116 ms	8188 KB	Output is correct
7	Correct	97 ms	8148 KB	Output is correct
8	Correct	104 ms	8188 KB	Output is correct
9	Correct	100 ms	8192 KB	Output is correct
10	Correct	121 ms	8188 KB	Output is correct
11	Correct	115 ms	8148 KB	Output is correct
12	Correct	116 ms	8188 KB	Output is correct
13	Correct	104 ms	8276 KB	Output is correct
14	Correct	100 ms	8148 KB	Output is correct
15	Correct	118 ms	8188 KB	Output is correct
16	Correct	26 ms	8148 KB	Output is correct
17	Correct	28 ms	8204 KB	Output is correct
18	Correct	27 ms	8212 KB	Output is correct
19	Correct	29 ms	8208 KB	Output is correct
20	Correct	27 ms	8208 KB	Output is correct

Subtask #2
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	117 ms	8148 KB	Output is correct
2	Correct	101 ms	8184 KB	Output is correct
3	Correct	119 ms	8200 KB	Output is correct
4	Correct	107 ms	8148 KB	Output is correct
5	Correct	114 ms	8188 KB	Output is correct
6	Correct	116 ms	8188 KB	Output is correct
7	Correct	97 ms	8148 KB	Output is correct
8	Correct	104 ms	8188 KB	Output is correct
9	Correct	100 ms	8192 KB	Output is correct
10	Correct	121 ms	8188 KB	Output is correct
11	Correct	115 ms	8148 KB	Output is correct
12	Correct	116 ms	8188 KB	Output is correct
13	Correct	104 ms	8276 KB	Output is correct
14	Correct	100 ms	8148 KB	Output is correct
15	Correct	118 ms	8188 KB	Output is correct
16	Correct	26 ms	8148 KB	Output is correct
17	Correct	28 ms	8204 KB	Output is correct
18	Correct	27 ms	8212 KB	Output is correct
19	Correct	29 ms	8208 KB	Output is correct
20	Correct	27 ms	8208 KB	Output is correct
21	Correct	769 ms	8184 KB	Output is correct
22	Correct	760 ms	8200 KB	Output is correct
23	Correct	714 ms	8192 KB	Output is correct
24	Correct	746 ms	8200 KB	Output is correct
25	Correct	764 ms	8196 KB	Output is correct
26	Correct	1026 ms	8148 KB	Output is correct
27	Correct	1045 ms	8208 KB	Output is correct
28	Correct	1032 ms	8192 KB	Output is correct
29	Correct	1022 ms	8196 KB	Output is correct
30	Correct	117 ms	8176 KB	Output is correct
31	Correct	121 ms	8148 KB	Output is correct
32	Correct	119 ms	8148 KB	Output is correct
33	Correct	110 ms	8200 KB	Output is correct
34	Correct	117 ms	8200 KB	Output is correct
35	Correct	118 ms	8200 KB	Output is correct
36	Correct	107 ms	8200 KB	Output is correct
37	Correct	115 ms	8200 KB	Output is correct
38	Correct	108 ms	8148 KB	Output is correct

Subtask #3
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	12 ms	8148 KB	Output is correct
2	Correct	10 ms	8148 KB	Output is correct
3	Correct	11 ms	8148 KB	Output is correct
4	Correct	12 ms	8188 KB	Output is correct
5	Correct	12 ms	8176 KB	Output is correct
6	Correct	16 ms	8176 KB	Output is correct
7	Correct	15 ms	8148 KB	Output is correct
8	Correct	15 ms	8148 KB	Output is correct
9	Correct	15 ms	8188 KB	Output is correct
10	Correct	15 ms	8160 KB	Output is correct
11	Correct	12 ms	8148 KB	Output is correct
12	Correct	10 ms	8148 KB	Output is correct
13	Correct	11 ms	8188 KB	Output is correct
14	Correct	11 ms	8108 KB	Output is correct
15	Correct	12 ms	8148 KB	Output is correct
16	Correct	8 ms	8148 KB	Output is correct
17	Correct	8 ms	8180 KB	Output is correct
18	Correct	9 ms	8280 KB	Output is correct
19	Correct	8 ms	8176 KB	Output is correct
20	Correct	9 ms	8148 KB	Output is correct

Subtask #4
42.0 / 42.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	117 ms	8148 KB	Output is correct
2	Correct	101 ms	8184 KB	Output is correct
3	Correct	119 ms	8200 KB	Output is correct
4	Correct	107 ms	8148 KB	Output is correct
5	Correct	114 ms	8188 KB	Output is correct
6	Correct	116 ms	8188 KB	Output is correct
7	Correct	97 ms	8148 KB	Output is correct
8	Correct	104 ms	8188 KB	Output is correct
9	Correct	100 ms	8192 KB	Output is correct
10	Correct	121 ms	8188 KB	Output is correct
11	Correct	115 ms	8148 KB	Output is correct
12	Correct	116 ms	8188 KB	Output is correct
13	Correct	104 ms	8276 KB	Output is correct
14	Correct	100 ms	8148 KB	Output is correct
15	Correct	118 ms	8188 KB	Output is correct
16	Correct	26 ms	8148 KB	Output is correct
17	Correct	28 ms	8204 KB	Output is correct
18	Correct	27 ms	8212 KB	Output is correct
19	Correct	29 ms	8208 KB	Output is correct
20	Correct	27 ms	8208 KB	Output is correct
21	Correct	769 ms	8184 KB	Output is correct
22	Correct	760 ms	8200 KB	Output is correct
23	Correct	714 ms	8192 KB	Output is correct
24	Correct	746 ms	8200 KB	Output is correct
25	Correct	764 ms	8196 KB	Output is correct
26	Correct	1026 ms	8148 KB	Output is correct
27	Correct	1045 ms	8208 KB	Output is correct
28	Correct	1032 ms	8192 KB	Output is correct
29	Correct	1022 ms	8196 KB	Output is correct
30	Correct	117 ms	8176 KB	Output is correct
31	Correct	121 ms	8148 KB	Output is correct
32	Correct	119 ms	8148 KB	Output is correct
33	Correct	110 ms	8200 KB	Output is correct
34	Correct	117 ms	8200 KB	Output is correct
35	Correct	118 ms	8200 KB	Output is correct
36	Correct	107 ms	8200 KB	Output is correct
37	Correct	115 ms	8200 KB	Output is correct
38	Correct	108 ms	8148 KB	Output is correct
39	Correct	12 ms	8148 KB	Output is correct
40	Correct	10 ms	8148 KB	Output is correct
41	Correct	11 ms	8148 KB	Output is correct
42	Correct	12 ms	8188 KB	Output is correct
43	Correct	12 ms	8176 KB	Output is correct
44	Correct	16 ms	8176 KB	Output is correct
45	Correct	15 ms	8148 KB	Output is correct
46	Correct	15 ms	8148 KB	Output is correct
47	Correct	15 ms	8188 KB	Output is correct
48	Correct	15 ms	8160 KB	Output is correct
49	Correct	12 ms	8148 KB	Output is correct
50	Correct	10 ms	8148 KB	Output is correct
51	Correct	11 ms	8188 KB	Output is correct
52	Correct	11 ms	8108 KB	Output is correct
53	Correct	12 ms	8148 KB	Output is correct
54	Correct	8 ms	8148 KB	Output is correct
55	Correct	8 ms	8180 KB	Output is correct
56	Correct	9 ms	8280 KB	Output is correct
57	Correct	8 ms	8176 KB	Output is correct
58	Correct	9 ms	8148 KB	Output is correct
59	Correct	964 ms	8196 KB	Output is correct
60	Correct	907 ms	8208 KB	Output is correct
61	Correct	877 ms	8212 KB	Output is correct
62	Correct	963 ms	8196 KB	Output is correct
63	Correct	936 ms	8308 KB	Output is correct
64	Correct	1453 ms	8200 KB	Output is correct
65	Correct	1445 ms	8196 KB	Output is correct
66	Correct	1451 ms	8148 KB	Output is correct
67	Correct	1448 ms	8196 KB	Output is correct
68	Correct	1445 ms	8268 KB	Output is correct
69	Correct	878 ms	8148 KB	Output is correct
70	Correct	893 ms	8268 KB	Output is correct
71	Correct	889 ms	8200 KB	Output is correct
72	Correct	914 ms	8196 KB	Output is correct
73	Correct	913 ms	8148 KB	Output is correct
74	Correct	176 ms	8148 KB	Output is correct
75	Correct	175 ms	8268 KB	Output is correct
76	Correct	178 ms	8148 KB	Output is correct
77	Correct	178 ms	8200 KB	Output is correct
78	Correct	175 ms	8148 KB	Output is correct

Submission #764509

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