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Submission #639369

# Submission time Handle Problem Language Result Execution time Memory
639369 2022-09-09T16:38:15 Z PoonYaPat Boat (APIO16_boat) C++14
100 / 100
 766 ms 4372 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll mod=1e9+7;
ll n,c[1001],st[501],ed[501],cnt,comb[501];
ll dp[501][1001];
set<int> ss;

ll power(ll a, ll m) { //a^m;
    ll ans=1;
    while (m) {
        if (m%2==1) ans=(ans*a)%mod;
        a=(a*a)%mod;
        m/=2;
    }
    return ans;
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin>>n;
    for (int i=1; i<=n; ++i) {
        cin>>st[i]>>ed[i]; --st[i];
        ss.insert(st[i]);
        ss.insert(ed[i]);
    }

    for (int i=1; i<=n; ++i) comb[i]=power(i,mod-2)%mod;

    cnt=ss.size()-1;
    int id=0;
    for (auto it=ss.begin(); it!=ss.end(); ++it) c[id++]=*it;

    for (int i=0; i<=cnt; ++i) dp[0][i]=1;

    for (int i=1; i<=n; ++i) {
        dp[i][0]=1; //don't send any boat

        for (int j=1; j<=cnt; ++j) { //consider from the range from c[j-1]+1 to c[j]
            dp[i][j]=dp[i][j-1];

            ll idx=1,com=1;
            for (auto k=i; k>0; --k) {
                if (st[k]<c[j] && c[j]<=ed[k]) {
                    com=((com*(c[j]-c[j-1]+idx-1)%mod)*comb[idx])%mod;
                    dp[i][j]=(dp[i][j]+dp[k-1][j-1]*com)%mod;
                    ++idx;
                }
            }
        }
    }
    cout<<(dp[n][cnt]-1+mod)%mod;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 244 ms 4272 KB Output is correct
2 Correct 252 ms 4296 KB Output is correct
3 Correct 243 ms 4296 KB Output is correct
4 Correct 237 ms 4204 KB Output is correct
5 Correct 243 ms 4244 KB Output is correct
6 Correct 165 ms 4292 KB Output is correct
7 Correct 158 ms 4172 KB Output is correct
8 Correct 170 ms 4284 KB Output is correct
9 Correct 180 ms 4180 KB Output is correct
10 Correct 158 ms 4232 KB Output is correct
11 Correct 157 ms 4292 KB Output is correct
12 Correct 149 ms 4264 KB Output is correct
13 Correct 154 ms 4272 KB Output is correct
14 Correct 164 ms 4292 KB Output is correct
15 Correct 148 ms 4180 KB Output is correct
16 Correct 51 ms 2908 KB Output is correct
17 Correct 49 ms 3028 KB Output is correct
18 Correct 54 ms 3020 KB Output is correct
19 Correct 56 ms 3072 KB Output is correct
20 Correct 55 ms 3028 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 244 ms 4272 KB Output is correct
2 Correct 252 ms 4296 KB Output is correct
3 Correct 243 ms 4296 KB Output is correct
4 Correct 237 ms 4204 KB Output is correct
5 Correct 243 ms 4244 KB Output is correct
6 Correct 165 ms 4292 KB Output is correct
7 Correct 158 ms 4172 KB Output is correct
8 Correct 170 ms 4284 KB Output is correct
9 Correct 180 ms 4180 KB Output is correct
10 Correct 158 ms 4232 KB Output is correct
11 Correct 157 ms 4292 KB Output is correct
12 Correct 149 ms 4264 KB Output is correct
13 Correct 154 ms 4272 KB Output is correct
14 Correct 164 ms 4292 KB Output is correct
15 Correct 148 ms 4180 KB Output is correct
16 Correct 51 ms 2908 KB Output is correct
17 Correct 49 ms 3028 KB Output is correct
18 Correct 54 ms 3020 KB Output is correct
19 Correct 56 ms 3072 KB Output is correct
20 Correct 55 ms 3028 KB Output is correct
21 Correct 494 ms 4220 KB Output is correct
22 Correct 519 ms 4188 KB Output is correct
23 Correct 460 ms 4236 KB Output is correct
24 Correct 475 ms 4316 KB Output is correct
25 Correct 514 ms 4168 KB Output is correct
26 Correct 684 ms 4208 KB Output is correct
27 Correct 711 ms 4196 KB Output is correct
28 Correct 718 ms 4208 KB Output is correct
29 Correct 677 ms 4276 KB Output is correct
30 Correct 155 ms 4188 KB Output is correct
31 Correct 140 ms 4192 KB Output is correct
32 Correct 154 ms 4248 KB Output is correct
33 Correct 152 ms 4168 KB Output is correct
34 Correct 149 ms 4172 KB Output is correct
35 Correct 249 ms 4248 KB Output is correct
36 Correct 247 ms 4296 KB Output is correct
37 Correct 248 ms 4304 KB Output is correct
38 Correct 238 ms 4188 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 900 KB Output is correct
2 Correct 4 ms 852 KB Output is correct
3 Correct 5 ms 852 KB Output is correct
4 Correct 5 ms 852 KB Output is correct
5 Correct 5 ms 812 KB Output is correct
6 Correct 7 ms 852 KB Output is correct
7 Correct 7 ms 876 KB Output is correct
8 Correct 7 ms 852 KB Output is correct
9 Correct 6 ms 852 KB Output is correct
10 Correct 7 ms 852 KB Output is correct
11 Correct 6 ms 852 KB Output is correct
12 Correct 5 ms 852 KB Output is correct
13 Correct 6 ms 848 KB Output is correct
14 Correct 6 ms 852 KB Output is correct
15 Correct 5 ms 852 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 4 ms 724 KB Output is correct
18 Correct 4 ms 724 KB Output is correct
19 Correct 3 ms 736 KB Output is correct
20 Correct 3 ms 724 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 244 ms 4272 KB Output is correct
2 Correct 252 ms 4296 KB Output is correct
3 Correct 243 ms 4296 KB Output is correct
4 Correct 237 ms 4204 KB Output is correct
5 Correct 243 ms 4244 KB Output is correct
6 Correct 165 ms 4292 KB Output is correct
7 Correct 158 ms 4172 KB Output is correct
8 Correct 170 ms 4284 KB Output is correct
9 Correct 180 ms 4180 KB Output is correct
10 Correct 158 ms 4232 KB Output is correct
11 Correct 157 ms 4292 KB Output is correct
12 Correct 149 ms 4264 KB Output is correct
13 Correct 154 ms 4272 KB Output is correct
14 Correct 164 ms 4292 KB Output is correct
15 Correct 148 ms 4180 KB Output is correct
16 Correct 51 ms 2908 KB Output is correct
17 Correct 49 ms 3028 KB Output is correct
18 Correct 54 ms 3020 KB Output is correct
19 Correct 56 ms 3072 KB Output is correct
20 Correct 55 ms 3028 KB Output is correct
21 Correct 494 ms 4220 KB Output is correct
22 Correct 519 ms 4188 KB Output is correct
23 Correct 460 ms 4236 KB Output is correct
24 Correct 475 ms 4316 KB Output is correct
25 Correct 514 ms 4168 KB Output is correct
26 Correct 684 ms 4208 KB Output is correct
27 Correct 711 ms 4196 KB Output is correct
28 Correct 718 ms 4208 KB Output is correct
29 Correct 677 ms 4276 KB Output is correct
30 Correct 155 ms 4188 KB Output is correct
31 Correct 140 ms 4192 KB Output is correct
32 Correct 154 ms 4248 KB Output is correct
33 Correct 152 ms 4168 KB Output is correct
34 Correct 149 ms 4172 KB Output is correct
35 Correct 249 ms 4248 KB Output is correct
36 Correct 247 ms 4296 KB Output is correct
37 Correct 248 ms 4304 KB Output is correct
38 Correct 238 ms 4188 KB Output is correct
39 Correct 5 ms 900 KB Output is correct
40 Correct 4 ms 852 KB Output is correct
41 Correct 5 ms 852 KB Output is correct
42 Correct 5 ms 852 KB Output is correct
43 Correct 5 ms 812 KB Output is correct
44 Correct 7 ms 852 KB Output is correct
45 Correct 7 ms 876 KB Output is correct
46 Correct 7 ms 852 KB Output is correct
47 Correct 6 ms 852 KB Output is correct
48 Correct 7 ms 852 KB Output is correct
49 Correct 6 ms 852 KB Output is correct
50 Correct 5 ms 852 KB Output is correct
51 Correct 6 ms 848 KB Output is correct
52 Correct 6 ms 852 KB Output is correct
53 Correct 5 ms 852 KB Output is correct
54 Correct 3 ms 724 KB Output is correct
55 Correct 4 ms 724 KB Output is correct
56 Correct 4 ms 724 KB Output is correct
57 Correct 3 ms 736 KB Output is correct
58 Correct 3 ms 724 KB Output is correct
59 Correct 558 ms 4236 KB Output is correct
60 Correct 535 ms 4188 KB Output is correct
61 Correct 507 ms 4244 KB Output is correct
62 Correct 542 ms 4172 KB Output is correct
63 Correct 508 ms 4180 KB Output is correct
64 Correct 766 ms 4244 KB Output is correct
65 Correct 753 ms 4172 KB Output is correct
66 Correct 757 ms 4172 KB Output is correct
67 Correct 765 ms 4192 KB Output is correct
68 Correct 746 ms 4288 KB Output is correct
69 Correct 532 ms 4196 KB Output is correct
70 Correct 551 ms 4272 KB Output is correct
71 Correct 560 ms 4172 KB Output is correct
72 Correct 561 ms 4372 KB Output is correct
73 Correct 552 ms 4276 KB Output is correct
74 Correct 103 ms 2972 KB Output is correct
75 Correct 108 ms 2992 KB Output is correct
76 Correct 102 ms 2960 KB Output is correct
77 Correct 106 ms 3012 KB Output is correct
78 Correct 97 ms 2980 KB Output is correct