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Submission #639365

# Submission time Handle Problem Language Result Execution time Memory
639365 2022-09-09T16:35:16 Z PoonYaPat Boat (APIO16_boat) C++14
100 / 100
 722 ms 4504 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 220 ms 4172 KB Output is correct
2 Correct 235 ms 4272 KB Output is correct
3 Correct 224 ms 4324 KB Output is correct
4 Correct 213 ms 4236 KB Output is correct
5 Correct 216 ms 4308 KB Output is correct
6 Correct 133 ms 4288 KB Output is correct
7 Correct 131 ms 4268 KB Output is correct
8 Correct 140 ms 4216 KB Output is correct
9 Correct 152 ms 4288 KB Output is correct
10 Correct 133 ms 4204 KB Output is correct
11 Correct 136 ms 4276 KB Output is correct
12 Correct 140 ms 4300 KB Output is correct
13 Correct 135 ms 4228 KB Output is correct
14 Correct 123 ms 4268 KB Output is correct
15 Correct 140 ms 4368 KB Output is correct
16 Correct 46 ms 3012 KB Output is correct
17 Correct 48 ms 3048 KB Output is correct
18 Correct 47 ms 2956 KB Output is correct
19 Correct 50 ms 3020 KB Output is correct
20 Correct 48 ms 2964 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 220 ms 4172 KB Output is correct
2 Correct 235 ms 4272 KB Output is correct
3 Correct 224 ms 4324 KB Output is correct
4 Correct 213 ms 4236 KB Output is correct
5 Correct 216 ms 4308 KB Output is correct
6 Correct 133 ms 4288 KB Output is correct
7 Correct 131 ms 4268 KB Output is correct
8 Correct 140 ms 4216 KB Output is correct
9 Correct 152 ms 4288 KB Output is correct
10 Correct 133 ms 4204 KB Output is correct
11 Correct 136 ms 4276 KB Output is correct
12 Correct 140 ms 4300 KB Output is correct
13 Correct 135 ms 4228 KB Output is correct
14 Correct 123 ms 4268 KB Output is correct
15 Correct 140 ms 4368 KB Output is correct
16 Correct 46 ms 3012 KB Output is correct
17 Correct 48 ms 3048 KB Output is correct
18 Correct 47 ms 2956 KB Output is correct
19 Correct 50 ms 3020 KB Output is correct
20 Correct 48 ms 2964 KB Output is correct
21 Correct 452 ms 4264 KB Output is correct
22 Correct 440 ms 4360 KB Output is correct
23 Correct 416 ms 4320 KB Output is correct
24 Correct 440 ms 4376 KB Output is correct
25 Correct 456 ms 4228 KB Output is correct
26 Correct 626 ms 4468 KB Output is correct
27 Correct 640 ms 4504 KB Output is correct
28 Correct 619 ms 4284 KB Output is correct
29 Correct 617 ms 4300 KB Output is correct
30 Correct 140 ms 4260 KB Output is correct
31 Correct 138 ms 4300 KB Output is correct
32 Correct 135 ms 4196 KB Output is correct
33 Correct 135 ms 4332 KB Output is correct
34 Correct 133 ms 4240 KB Output is correct
35 Correct 238 ms 4492 KB Output is correct
36 Correct 230 ms 4196 KB Output is correct
37 Correct 227 ms 4264 KB Output is correct
38 Correct 232 ms 4244 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 852 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 852 KB Output is correct
6 Correct 6 ms 852 KB Output is correct
7 Correct 6 ms 852 KB Output is correct
8 Correct 6 ms 844 KB Output is correct
9 Correct 6 ms 852 KB Output is correct
10 Correct 6 ms 844 KB Output is correct
11 Correct 6 ms 844 KB Output is correct
12 Correct 5 ms 816 KB Output is correct
13 Correct 5 ms 912 KB Output is correct
14 Correct 5 ms 860 KB Output is correct
15 Correct 5 ms 852 KB Output is correct
16 Correct 3 ms 852 KB Output is correct
17 Correct 3 ms 852 KB Output is correct
18 Correct 3 ms 724 KB Output is correct
19 Correct 3 ms 724 KB Output is correct
20 Correct 3 ms 852 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 220 ms 4172 KB Output is correct
2 Correct 235 ms 4272 KB Output is correct
3 Correct 224 ms 4324 KB Output is correct
4 Correct 213 ms 4236 KB Output is correct
5 Correct 216 ms 4308 KB Output is correct
6 Correct 133 ms 4288 KB Output is correct
7 Correct 131 ms 4268 KB Output is correct
8 Correct 140 ms 4216 KB Output is correct
9 Correct 152 ms 4288 KB Output is correct
10 Correct 133 ms 4204 KB Output is correct
11 Correct 136 ms 4276 KB Output is correct
12 Correct 140 ms 4300 KB Output is correct
13 Correct 135 ms 4228 KB Output is correct
14 Correct 123 ms 4268 KB Output is correct
15 Correct 140 ms 4368 KB Output is correct
16 Correct 46 ms 3012 KB Output is correct
17 Correct 48 ms 3048 KB Output is correct
18 Correct 47 ms 2956 KB Output is correct
19 Correct 50 ms 3020 KB Output is correct
20 Correct 48 ms 2964 KB Output is correct
21 Correct 452 ms 4264 KB Output is correct
22 Correct 440 ms 4360 KB Output is correct
23 Correct 416 ms 4320 KB Output is correct
24 Correct 440 ms 4376 KB Output is correct
25 Correct 456 ms 4228 KB Output is correct
26 Correct 626 ms 4468 KB Output is correct
27 Correct 640 ms 4504 KB Output is correct
28 Correct 619 ms 4284 KB Output is correct
29 Correct 617 ms 4300 KB Output is correct
30 Correct 140 ms 4260 KB Output is correct
31 Correct 138 ms 4300 KB Output is correct
32 Correct 135 ms 4196 KB Output is correct
33 Correct 135 ms 4332 KB Output is correct
34 Correct 133 ms 4240 KB Output is correct
35 Correct 238 ms 4492 KB Output is correct
36 Correct 230 ms 4196 KB Output is correct
37 Correct 227 ms 4264 KB Output is correct
38 Correct 232 ms 4244 KB Output is correct
39 Correct 5 ms 852 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 852 KB Output is correct
44 Correct 6 ms 852 KB Output is correct
45 Correct 6 ms 852 KB Output is correct
46 Correct 6 ms 844 KB Output is correct
47 Correct 6 ms 852 KB Output is correct
48 Correct 6 ms 844 KB Output is correct
49 Correct 6 ms 844 KB Output is correct
50 Correct 5 ms 816 KB Output is correct
51 Correct 5 ms 912 KB Output is correct
52 Correct 5 ms 860 KB Output is correct
53 Correct 5 ms 852 KB Output is correct
54 Correct 3 ms 852 KB Output is correct
55 Correct 3 ms 852 KB Output is correct
56 Correct 3 ms 724 KB Output is correct
57 Correct 3 ms 724 KB Output is correct
58 Correct 3 ms 852 KB Output is correct
59 Correct 498 ms 4296 KB Output is correct
60 Correct 475 ms 4440 KB Output is correct
61 Correct 473 ms 4376 KB Output is correct
62 Correct 502 ms 4280 KB Output is correct
63 Correct 483 ms 4296 KB Output is correct
64 Correct 713 ms 4324 KB Output is correct
65 Correct 718 ms 4208 KB Output is correct
66 Correct 722 ms 4268 KB Output is correct
67 Correct 717 ms 4348 KB Output is correct
68 Correct 716 ms 4216 KB Output is correct
69 Correct 545 ms 4296 KB Output is correct
70 Correct 548 ms 4292 KB Output is correct
71 Correct 550 ms 4248 KB Output is correct
72 Correct 566 ms 4308 KB Output is correct
73 Correct 556 ms 4192 KB Output is correct
74 Correct 100 ms 3020 KB Output is correct
75 Correct 103 ms 2948 KB Output is correct
76 Correct 102 ms 3056 KB Output is correct
77 Correct 105 ms 2988 KB Output is correct
78 Correct 103 ms 2928 KB Output is correct