답안 #549774

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
549774	2022-04-16T13:40:30 Z	krit3379	Boat (APIO16_boat)	C++17	100 / 100	1210 ms	4452 KB

boat

#include<bits/stdc++.h>
using namespace std;
#define N 505

long long dp[N][2*N],a[N],b[N],len[2*N],inv[N],cnt,ch,mod=1e9+7;
vector<long long> v;

int main(){
    int n,i,j,k;
    scanf("%d",&n);
    inv[1]=1;
    for(i=2;i<N;i++)inv[i]=(mod-mod/i)*inv[mod%i]%mod;
    for(i=1;i<=n;i++)scanf("%lld %lld",&a[i],&b[i]),v.push_back(a[i]),v.push_back(b[i]+1);
    sort(v.begin(),v.end());
    v.resize(unique(v.begin(),v.end())-v.begin());
    for(i=1;i<=n;i++){
        a[i]=upper_bound(v.begin(),v.end(),a[i])-v.begin();
        b[i]=upper_bound(v.begin(),v.end(),b[i])-v.begin();
    }
    for(i=1;i<v.size();i++)len[i]=v[i]-v[i-1];
    for(i=0;i<v.size();i++)dp[0][i]=1;
    for(i=1;i<=n;i++){
        for(j=a[i];j<=b[i];j++){
            dp[i][j]=len[j]*dp[i-1][j-1]%mod;
            cnt=1,ch=len[j]-1;
            for(k=i-1;k>0;k--){
                if(a[k]<=j&&j<=b[k]){
                    cnt++;
                    ch=ch*(len[j]+cnt-2)%mod*inv[cnt]%mod;
                    if(!ch)break;
                    dp[i][j]=(dp[i][j]+dp[k-1][j-1]*ch)%mod;
                }
            }
        }
        dp[i][0]=1;
        for(j=1;j<v.size();j++)
            dp[i][j]=(dp[i][j]+dp[i-1][j]+dp[i][j-1]-dp[i-1][j-1]+mod)%mod;
    }
    printf("%lld",(dp[n][v.size()-1]-1+mod)%mod);
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:20:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   20 |     for(i=1;i<v.size();i++)len[i]=v[i]-v[i-1];
      |             ~^~~~~~~~~
boat.cpp:21:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |     for(i=0;i<v.size();i++)dp[0][i]=1;
      |             ~^~~~~~~~~
boat.cpp:36:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |         for(j=1;j<v.size();j++)
      |                 ~^~~~~~~~~
boat.cpp:10:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |     scanf("%d",&n);
      |     ~~~~~^~~~~~~~~
boat.cpp:13:27: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   13 |     for(i=1;i<=n;i++)scanf("%lld %lld",&a[i],&b[i]),v.push_back(a[i]),v.push_back(b[i]+1);
      |                      ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	4180 KB	Output is correct
2	Correct	6 ms	4268 KB	Output is correct
3	Correct	6 ms	4180 KB	Output is correct
4	Correct	6 ms	4180 KB	Output is correct
5	Correct	5 ms	4180 KB	Output is correct
6	Correct	5 ms	4180 KB	Output is correct
7	Correct	6 ms	4180 KB	Output is correct
8	Correct	6 ms	4180 KB	Output is correct
9	Correct	5 ms	4180 KB	Output is correct
10	Correct	5 ms	4180 KB	Output is correct
11	Correct	6 ms	4220 KB	Output is correct
12	Correct	6 ms	4180 KB	Output is correct
13	Correct	6 ms	4180 KB	Output is correct
14	Correct	6 ms	4228 KB	Output is correct
15	Correct	5 ms	4180 KB	Output is correct
16	Correct	2 ms	3028 KB	Output is correct
17	Correct	3 ms	3028 KB	Output is correct
18	Correct	2 ms	3028 KB	Output is correct
19	Correct	2 ms	3028 KB	Output is correct
20	Correct	2 ms	3028 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	4180 KB	Output is correct
2	Correct	6 ms	4268 KB	Output is correct
3	Correct	6 ms	4180 KB	Output is correct
4	Correct	6 ms	4180 KB	Output is correct
5	Correct	5 ms	4180 KB	Output is correct
6	Correct	5 ms	4180 KB	Output is correct
7	Correct	6 ms	4180 KB	Output is correct
8	Correct	6 ms	4180 KB	Output is correct
9	Correct	5 ms	4180 KB	Output is correct
10	Correct	5 ms	4180 KB	Output is correct
11	Correct	6 ms	4220 KB	Output is correct
12	Correct	6 ms	4180 KB	Output is correct
13	Correct	6 ms	4180 KB	Output is correct
14	Correct	6 ms	4228 KB	Output is correct
15	Correct	5 ms	4180 KB	Output is correct
16	Correct	2 ms	3028 KB	Output is correct
17	Correct	3 ms	3028 KB	Output is correct
18	Correct	2 ms	3028 KB	Output is correct
19	Correct	2 ms	3028 KB	Output is correct
20	Correct	2 ms	3028 KB	Output is correct
21	Correct	283 ms	4256 KB	Output is correct
22	Correct	270 ms	4172 KB	Output is correct
23	Correct	233 ms	4232 KB	Output is correct
24	Correct	283 ms	4180 KB	Output is correct
25	Correct	277 ms	4172 KB	Output is correct
26	Correct	582 ms	4340 KB	Output is correct
27	Correct	590 ms	4220 KB	Output is correct
28	Correct	623 ms	4172 KB	Output is correct
29	Correct	622 ms	4424 KB	Output is correct
30	Correct	7 ms	4284 KB	Output is correct
31	Correct	7 ms	4284 KB	Output is correct
32	Correct	6 ms	4180 KB	Output is correct
33	Correct	7 ms	4280 KB	Output is correct
34	Correct	6 ms	4288 KB	Output is correct
35	Correct	6 ms	4180 KB	Output is correct
36	Correct	6 ms	4296 KB	Output is correct
37	Correct	6 ms	4308 KB	Output is correct
38	Correct	6 ms	4308 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	812 KB	Output is correct
2	Correct	3 ms	852 KB	Output is correct
3	Correct	4 ms	852 KB	Output is correct
4	Correct	5 ms	852 KB	Output is correct
5	Correct	5 ms	852 KB	Output is correct
6	Correct	11 ms	828 KB	Output is correct
7	Correct	11 ms	852 KB	Output is correct
8	Correct	11 ms	852 KB	Output is correct
9	Correct	10 ms	864 KB	Output is correct
10	Correct	10 ms	852 KB	Output is correct
11	Correct	5 ms	852 KB	Output is correct
12	Correct	4 ms	852 KB	Output is correct
13	Correct	4 ms	852 KB	Output is correct
14	Correct	5 ms	852 KB	Output is correct
15	Correct	5 ms	852 KB	Output is correct
16	Correct	2 ms	724 KB	Output is correct
17	Correct	2 ms	820 KB	Output is correct
18	Correct	3 ms	724 KB	Output is correct
19	Correct	3 ms	724 KB	Output is correct
20	Correct	4 ms	816 KB	Output is correct

Subtask #4
42.0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	4180 KB	Output is correct
2	Correct	6 ms	4268 KB	Output is correct
3	Correct	6 ms	4180 KB	Output is correct
4	Correct	6 ms	4180 KB	Output is correct
5	Correct	5 ms	4180 KB	Output is correct
6	Correct	5 ms	4180 KB	Output is correct
7	Correct	6 ms	4180 KB	Output is correct
8	Correct	6 ms	4180 KB	Output is correct
9	Correct	5 ms	4180 KB	Output is correct
10	Correct	5 ms	4180 KB	Output is correct
11	Correct	6 ms	4220 KB	Output is correct
12	Correct	6 ms	4180 KB	Output is correct
13	Correct	6 ms	4180 KB	Output is correct
14	Correct	6 ms	4228 KB	Output is correct
15	Correct	5 ms	4180 KB	Output is correct
16	Correct	2 ms	3028 KB	Output is correct
17	Correct	3 ms	3028 KB	Output is correct
18	Correct	2 ms	3028 KB	Output is correct
19	Correct	2 ms	3028 KB	Output is correct
20	Correct	2 ms	3028 KB	Output is correct
21	Correct	283 ms	4256 KB	Output is correct
22	Correct	270 ms	4172 KB	Output is correct
23	Correct	233 ms	4232 KB	Output is correct
24	Correct	283 ms	4180 KB	Output is correct
25	Correct	277 ms	4172 KB	Output is correct
26	Correct	582 ms	4340 KB	Output is correct
27	Correct	590 ms	4220 KB	Output is correct
28	Correct	623 ms	4172 KB	Output is correct
29	Correct	622 ms	4424 KB	Output is correct
30	Correct	7 ms	4284 KB	Output is correct
31	Correct	7 ms	4284 KB	Output is correct
32	Correct	6 ms	4180 KB	Output is correct
33	Correct	7 ms	4280 KB	Output is correct
34	Correct	6 ms	4288 KB	Output is correct
35	Correct	6 ms	4180 KB	Output is correct
36	Correct	6 ms	4296 KB	Output is correct
37	Correct	6 ms	4308 KB	Output is correct
38	Correct	6 ms	4308 KB	Output is correct
39	Correct	5 ms	812 KB	Output is correct
40	Correct	3 ms	852 KB	Output is correct
41	Correct	4 ms	852 KB	Output is correct
42	Correct	5 ms	852 KB	Output is correct
43	Correct	5 ms	852 KB	Output is correct
44	Correct	11 ms	828 KB	Output is correct
45	Correct	11 ms	852 KB	Output is correct
46	Correct	11 ms	852 KB	Output is correct
47	Correct	10 ms	864 KB	Output is correct
48	Correct	10 ms	852 KB	Output is correct
49	Correct	5 ms	852 KB	Output is correct
50	Correct	4 ms	852 KB	Output is correct
51	Correct	4 ms	852 KB	Output is correct
52	Correct	5 ms	852 KB	Output is correct
53	Correct	5 ms	852 KB	Output is correct
54	Correct	2 ms	724 KB	Output is correct
55	Correct	2 ms	820 KB	Output is correct
56	Correct	3 ms	724 KB	Output is correct
57	Correct	3 ms	724 KB	Output is correct
58	Correct	4 ms	816 KB	Output is correct
59	Correct	478 ms	4240 KB	Output is correct
60	Correct	464 ms	4212 KB	Output is correct
61	Correct	440 ms	4200 KB	Output is correct
62	Correct	507 ms	4248 KB	Output is correct
63	Correct	482 ms	4300 KB	Output is correct
64	Correct	1206 ms	4196 KB	Output is correct
65	Correct	1210 ms	4268 KB	Output is correct
66	Correct	1169 ms	4244 KB	Output is correct
67	Correct	1137 ms	4204 KB	Output is correct
68	Correct	1160 ms	4312 KB	Output is correct
69	Correct	417 ms	4212 KB	Output is correct
70	Correct	415 ms	4284 KB	Output is correct
71	Correct	419 ms	4196 KB	Output is correct
72	Correct	451 ms	4452 KB	Output is correct
73	Correct	440 ms	4268 KB	Output is correct
74	Correct	52 ms	2968 KB	Output is correct
75	Correct	49 ms	2952 KB	Output is correct
76	Correct	49 ms	2976 KB	Output is correct
77	Correct	49 ms	3024 KB	Output is correct
78	Correct	51 ms	2992 KB	Output is correct

답안 #549774

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