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Submission #639366

# Submission time Handle Problem Language Result Execution time Memory
639366 2022-09-09T16:36:09 Z PoonYaPat Boat (APIO16_boat) C++14
100 / 100
 740 ms 4420 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);

    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 272 ms 4420 KB Output is correct
2 Correct 265 ms 4236 KB Output is correct
3 Correct 260 ms 4228 KB Output is correct
4 Correct 265 ms 4268 KB Output is correct
5 Correct 266 ms 4180 KB Output is correct
6 Correct 178 ms 4220 KB Output is correct
7 Correct 182 ms 4300 KB Output is correct
8 Correct 183 ms 4228 KB Output is correct
9 Correct 176 ms 4300 KB Output is correct
10 Correct 196 ms 4264 KB Output is correct
11 Correct 180 ms 4224 KB Output is correct
12 Correct 193 ms 4224 KB Output is correct
13 Correct 185 ms 4296 KB Output is correct
14 Correct 173 ms 4228 KB Output is correct
15 Correct 193 ms 4296 KB Output is correct
16 Correct 54 ms 2940 KB Output is correct
17 Correct 56 ms 3064 KB Output is correct
18 Correct 58 ms 3012 KB Output is correct
19 Correct 58 ms 2980 KB Output is correct
20 Correct 56 ms 3040 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 272 ms 4420 KB Output is correct
2 Correct 265 ms 4236 KB Output is correct
3 Correct 260 ms 4228 KB Output is correct
4 Correct 265 ms 4268 KB Output is correct
5 Correct 266 ms 4180 KB Output is correct
6 Correct 178 ms 4220 KB Output is correct
7 Correct 182 ms 4300 KB Output is correct
8 Correct 183 ms 4228 KB Output is correct
9 Correct 176 ms 4300 KB Output is correct
10 Correct 196 ms 4264 KB Output is correct
11 Correct 180 ms 4224 KB Output is correct
12 Correct 193 ms 4224 KB Output is correct
13 Correct 185 ms 4296 KB Output is correct
14 Correct 173 ms 4228 KB Output is correct
15 Correct 193 ms 4296 KB Output is correct
16 Correct 54 ms 2940 KB Output is correct
17 Correct 56 ms 3064 KB Output is correct
18 Correct 58 ms 3012 KB Output is correct
19 Correct 58 ms 2980 KB Output is correct
20 Correct 56 ms 3040 KB Output is correct
21 Correct 450 ms 4208 KB Output is correct
22 Correct 450 ms 4192 KB Output is correct
23 Correct 426 ms 4188 KB Output is correct
24 Correct 442 ms 4188 KB Output is correct
25 Correct 476 ms 4344 KB Output is correct
26 Correct 639 ms 4340 KB Output is correct
27 Correct 656 ms 4300 KB Output is correct
28 Correct 646 ms 4244 KB Output is correct
29 Correct 642 ms 4288 KB Output is correct
30 Correct 185 ms 4172 KB Output is correct
31 Correct 177 ms 4268 KB Output is correct
32 Correct 184 ms 4412 KB Output is correct
33 Correct 190 ms 4188 KB Output is correct
34 Correct 180 ms 4172 KB Output is correct
35 Correct 282 ms 4244 KB Output is correct
36 Correct 271 ms 4244 KB Output is correct
37 Correct 271 ms 4292 KB Output is correct
38 Correct 271 ms 4192 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 804 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 840 KB Output is correct
6 Correct 8 ms 852 KB Output is correct
7 Correct 7 ms 852 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 904 KB Output is correct
12 Correct 5 ms 852 KB Output is correct
13 Correct 5 ms 876 KB Output is correct
14 Correct 5 ms 876 KB Output is correct
15 Correct 5 ms 852 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 3 ms 724 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 724 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 272 ms 4420 KB Output is correct
2 Correct 265 ms 4236 KB Output is correct
3 Correct 260 ms 4228 KB Output is correct
4 Correct 265 ms 4268 KB Output is correct
5 Correct 266 ms 4180 KB Output is correct
6 Correct 178 ms 4220 KB Output is correct
7 Correct 182 ms 4300 KB Output is correct
8 Correct 183 ms 4228 KB Output is correct
9 Correct 176 ms 4300 KB Output is correct
10 Correct 196 ms 4264 KB Output is correct
11 Correct 180 ms 4224 KB Output is correct
12 Correct 193 ms 4224 KB Output is correct
13 Correct 185 ms 4296 KB Output is correct
14 Correct 173 ms 4228 KB Output is correct
15 Correct 193 ms 4296 KB Output is correct
16 Correct 54 ms 2940 KB Output is correct
17 Correct 56 ms 3064 KB Output is correct
18 Correct 58 ms 3012 KB Output is correct
19 Correct 58 ms 2980 KB Output is correct
20 Correct 56 ms 3040 KB Output is correct
21 Correct 450 ms 4208 KB Output is correct
22 Correct 450 ms 4192 KB Output is correct
23 Correct 426 ms 4188 KB Output is correct
24 Correct 442 ms 4188 KB Output is correct
25 Correct 476 ms 4344 KB Output is correct
26 Correct 639 ms 4340 KB Output is correct
27 Correct 656 ms 4300 KB Output is correct
28 Correct 646 ms 4244 KB Output is correct
29 Correct 642 ms 4288 KB Output is correct
30 Correct 185 ms 4172 KB Output is correct
31 Correct 177 ms 4268 KB Output is correct
32 Correct 184 ms 4412 KB Output is correct
33 Correct 190 ms 4188 KB Output is correct
34 Correct 180 ms 4172 KB Output is correct
35 Correct 282 ms 4244 KB Output is correct
36 Correct 271 ms 4244 KB Output is correct
37 Correct 271 ms 4292 KB Output is correct
38 Correct 271 ms 4192 KB Output is correct
39 Correct 5 ms 804 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 840 KB Output is correct
44 Correct 8 ms 852 KB Output is correct
45 Correct 7 ms 852 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 904 KB Output is correct
50 Correct 5 ms 852 KB Output is correct
51 Correct 5 ms 876 KB Output is correct
52 Correct 5 ms 876 KB Output is correct
53 Correct 5 ms 852 KB Output is correct
54 Correct 3 ms 724 KB Output is correct
55 Correct 3 ms 724 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 724 KB Output is correct
59 Correct 498 ms 4220 KB Output is correct
60 Correct 471 ms 4204 KB Output is correct
61 Correct 480 ms 4200 KB Output is correct
62 Correct 508 ms 4292 KB Output is correct
63 Correct 488 ms 4280 KB Output is correct
64 Correct 738 ms 4280 KB Output is correct
65 Correct 733 ms 4348 KB Output is correct
66 Correct 740 ms 4256 KB Output is correct
67 Correct 726 ms 4264 KB Output is correct
68 Correct 734 ms 4396 KB Output is correct
69 Correct 538 ms 4344 KB Output is correct
70 Correct 567 ms 4172 KB Output is correct
71 Correct 556 ms 4248 KB Output is correct
72 Correct 567 ms 4408 KB Output is correct
73 Correct 566 ms 4300 KB Output is correct
74 Correct 101 ms 3032 KB Output is correct
75 Correct 104 ms 3044 KB Output is correct
76 Correct 105 ms 3144 KB Output is correct
77 Correct 104 ms 2936 KB Output is correct
78 Correct 110 ms 3084 KB Output is correct