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Submission #639372

# Submission time Handle Problem Language Result Execution time Memory
639372 2022-09-09T16:40:31 Z PoonYaPat Boat (APIO16_boat) C++14
100 / 100
 750 ms 4428 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 229 ms 4260 KB Output is correct
2 Correct 245 ms 4384 KB Output is correct
3 Correct 219 ms 4172 KB Output is correct
4 Correct 227 ms 4204 KB Output is correct
5 Correct 227 ms 4172 KB Output is correct
6 Correct 137 ms 4264 KB Output is correct
7 Correct 142 ms 4172 KB Output is correct
8 Correct 164 ms 4176 KB Output is correct
9 Correct 143 ms 4248 KB Output is correct
10 Correct 141 ms 4280 KB Output is correct
11 Correct 147 ms 4252 KB Output is correct
12 Correct 142 ms 4284 KB Output is correct
13 Correct 144 ms 4300 KB Output is correct
14 Correct 134 ms 4296 KB Output is correct
15 Correct 146 ms 4280 KB Output is correct
16 Correct 50 ms 3012 KB Output is correct
17 Correct 62 ms 2980 KB Output is correct
18 Correct 55 ms 3000 KB Output is correct
19 Correct 50 ms 3048 KB Output is correct
20 Correct 51 ms 3020 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 229 ms 4260 KB Output is correct
2 Correct 245 ms 4384 KB Output is correct
3 Correct 219 ms 4172 KB Output is correct
4 Correct 227 ms 4204 KB Output is correct
5 Correct 227 ms 4172 KB Output is correct
6 Correct 137 ms 4264 KB Output is correct
7 Correct 142 ms 4172 KB Output is correct
8 Correct 164 ms 4176 KB Output is correct
9 Correct 143 ms 4248 KB Output is correct
10 Correct 141 ms 4280 KB Output is correct
11 Correct 147 ms 4252 KB Output is correct
12 Correct 142 ms 4284 KB Output is correct
13 Correct 144 ms 4300 KB Output is correct
14 Correct 134 ms 4296 KB Output is correct
15 Correct 146 ms 4280 KB Output is correct
16 Correct 50 ms 3012 KB Output is correct
17 Correct 62 ms 2980 KB Output is correct
18 Correct 55 ms 3000 KB Output is correct
19 Correct 50 ms 3048 KB Output is correct
20 Correct 51 ms 3020 KB Output is correct
21 Correct 465 ms 4296 KB Output is correct
22 Correct 473 ms 4256 KB Output is correct
23 Correct 434 ms 4172 KB Output is correct
24 Correct 470 ms 4300 KB Output is correct
25 Correct 469 ms 4296 KB Output is correct
26 Correct 638 ms 4404 KB Output is correct
27 Correct 670 ms 4228 KB Output is correct
28 Correct 636 ms 4288 KB Output is correct
29 Correct 640 ms 4304 KB Output is correct
30 Correct 156 ms 4172 KB Output is correct
31 Correct 136 ms 4244 KB Output is correct
32 Correct 141 ms 4392 KB Output is correct
33 Correct 139 ms 4244 KB Output is correct
34 Correct 154 ms 4288 KB Output is correct
35 Correct 235 ms 4228 KB Output is correct
36 Correct 238 ms 4248 KB Output is correct
37 Correct 244 ms 4184 KB Output is correct
38 Correct 233 ms 4252 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 816 KB Output is correct
2 Correct 4 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 8 ms 876 KB Output is correct
7 Correct 7 ms 852 KB Output is correct
8 Correct 7 ms 852 KB Output is correct
9 Correct 8 ms 852 KB Output is correct
10 Correct 6 ms 852 KB Output is correct
11 Correct 5 ms 852 KB Output is correct
12 Correct 5 ms 860 KB Output is correct
13 Correct 6 ms 852 KB Output is correct
14 Correct 5 ms 852 KB Output is correct
15 Correct 6 ms 892 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 4 ms 724 KB Output is correct
18 Correct 3 ms 724 KB Output is correct
19 Correct 4 ms 852 KB Output is correct
20 Correct 5 ms 724 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 229 ms 4260 KB Output is correct
2 Correct 245 ms 4384 KB Output is correct
3 Correct 219 ms 4172 KB Output is correct
4 Correct 227 ms 4204 KB Output is correct
5 Correct 227 ms 4172 KB Output is correct
6 Correct 137 ms 4264 KB Output is correct
7 Correct 142 ms 4172 KB Output is correct
8 Correct 164 ms 4176 KB Output is correct
9 Correct 143 ms 4248 KB Output is correct
10 Correct 141 ms 4280 KB Output is correct
11 Correct 147 ms 4252 KB Output is correct
12 Correct 142 ms 4284 KB Output is correct
13 Correct 144 ms 4300 KB Output is correct
14 Correct 134 ms 4296 KB Output is correct
15 Correct 146 ms 4280 KB Output is correct
16 Correct 50 ms 3012 KB Output is correct
17 Correct 62 ms 2980 KB Output is correct
18 Correct 55 ms 3000 KB Output is correct
19 Correct 50 ms 3048 KB Output is correct
20 Correct 51 ms 3020 KB Output is correct
21 Correct 465 ms 4296 KB Output is correct
22 Correct 473 ms 4256 KB Output is correct
23 Correct 434 ms 4172 KB Output is correct
24 Correct 470 ms 4300 KB Output is correct
25 Correct 469 ms 4296 KB Output is correct
26 Correct 638 ms 4404 KB Output is correct
27 Correct 670 ms 4228 KB Output is correct
28 Correct 636 ms 4288 KB Output is correct
29 Correct 640 ms 4304 KB Output is correct
30 Correct 156 ms 4172 KB Output is correct
31 Correct 136 ms 4244 KB Output is correct
32 Correct 141 ms 4392 KB Output is correct
33 Correct 139 ms 4244 KB Output is correct
34 Correct 154 ms 4288 KB Output is correct
35 Correct 235 ms 4228 KB Output is correct
36 Correct 238 ms 4248 KB Output is correct
37 Correct 244 ms 4184 KB Output is correct
38 Correct 233 ms 4252 KB Output is correct
39 Correct 5 ms 816 KB Output is correct
40 Correct 4 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 8 ms 876 KB Output is correct
45 Correct 7 ms 852 KB Output is correct
46 Correct 7 ms 852 KB Output is correct
47 Correct 8 ms 852 KB Output is correct
48 Correct 6 ms 852 KB Output is correct
49 Correct 5 ms 852 KB Output is correct
50 Correct 5 ms 860 KB Output is correct
51 Correct 6 ms 852 KB Output is correct
52 Correct 5 ms 852 KB Output is correct
53 Correct 6 ms 892 KB Output is correct
54 Correct 3 ms 724 KB Output is correct
55 Correct 4 ms 724 KB Output is correct
56 Correct 3 ms 724 KB Output is correct
57 Correct 4 ms 852 KB Output is correct
58 Correct 5 ms 724 KB Output is correct
59 Correct 516 ms 4288 KB Output is correct
60 Correct 502 ms 4212 KB Output is correct
61 Correct 487 ms 4280 KB Output is correct
62 Correct 520 ms 4356 KB Output is correct
63 Correct 531 ms 4428 KB Output is correct
64 Correct 750 ms 4384 KB Output is correct
65 Correct 738 ms 4368 KB Output is correct
66 Correct 739 ms 4188 KB Output is correct
67 Correct 732 ms 4312 KB Output is correct
68 Correct 750 ms 4288 KB Output is correct
69 Correct 574 ms 4384 KB Output is correct
70 Correct 587 ms 4200 KB Output is correct
71 Correct 575 ms 4244 KB Output is correct
72 Correct 635 ms 4248 KB Output is correct
73 Correct 572 ms 4312 KB Output is correct
74 Correct 108 ms 2940 KB Output is correct
75 Correct 108 ms 3004 KB Output is correct
76 Correct 102 ms 3016 KB Output is correct
77 Correct 108 ms 3040 KB Output is correct
78 Correct 99 ms 3028 KB Output is correct