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Submission #573747

# Submission time Handle Problem Language Result Execution time Memory
573747 2022-06-07T06:51:18 Z Hanksburger Boat (APIO16_boat) C++17
100 / 100
 752 ms 4372 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int mod=1e9+7;
int dp[1005][505], inv[505], a[505], b[505], c[1005];
set<int> s;
int f(int x, int y)
{
    if (!y)
        return 1;
    int res=f(x, y/2);
    if (y&1)
        return res*res%mod*x%mod;
    else
        return res*res%mod;
}
signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n, m=0;
    cin >> n;
    for (int i=1; i<=n; i++)
        inv[i]=f(i, mod-2);
    for (int i=1; i<=n; i++)
    {
        cin >> a[i] >> b[i];
        s.insert(a[i]);
        s.insert(b[i]+1);
    }
    for (auto itr=s.begin(); itr!=s.end(); itr++)
        c[++m]=(*itr);
    for (int i=0; i<=n; i++)
        dp[0][i]=1;
    for (int i=1; i<m; i++)
    {
        for (int j=0; j<=n; j++)
        {
            dp[i][j]=dp[i-1][j];
//            cout << "--------- i j " << i << ' '  << j << ' ' << dp[i][j] << '\n';
            int num=1, cnt=0;
            for (int k=1; k<=j; k++)
            {
                if (a[j-k+1]<=c[i] && c[i+1]-1<=b[j-k+1])
                {
                    cnt++;
                    num=num*(c[i+1]-c[i]+cnt-1)%mod*inv[cnt]%mod;
                    dp[i][j]=(dp[i][j]+dp[i-1][j-k]*num)%mod;
                }
//                cout << "i j k " << i << ' ' << j << ' ' << k << ' ' << dp[i][j] << '\n';
            }
        }
    }
    cout << dp[m-1][n]-1;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 4288 KB Output is correct
2 Correct 320 ms 4320 KB Output is correct
3 Correct 295 ms 4228 KB Output is correct
4 Correct 267 ms 4220 KB Output is correct
5 Correct 322 ms 4336 KB Output is correct
6 Correct 194 ms 4332 KB Output is correct
7 Correct 202 ms 4272 KB Output is correct
8 Correct 233 ms 4268 KB Output is correct
9 Correct 218 ms 4332 KB Output is correct
10 Correct 223 ms 4320 KB Output is correct
11 Correct 223 ms 4316 KB Output is correct
12 Correct 192 ms 4292 KB Output is correct
13 Correct 237 ms 4332 KB Output is correct
14 Correct 190 ms 4324 KB Output is correct
15 Correct 194 ms 4224 KB Output is correct
16 Correct 46 ms 1032 KB Output is correct
17 Correct 48 ms 1060 KB Output is correct
18 Correct 48 ms 1004 KB Output is correct
19 Correct 50 ms 1064 KB Output is correct
20 Correct 51 ms 1080 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 4288 KB Output is correct
2 Correct 320 ms 4320 KB Output is correct
3 Correct 295 ms 4228 KB Output is correct
4 Correct 267 ms 4220 KB Output is correct
5 Correct 322 ms 4336 KB Output is correct
6 Correct 194 ms 4332 KB Output is correct
7 Correct 202 ms 4272 KB Output is correct
8 Correct 233 ms 4268 KB Output is correct
9 Correct 218 ms 4332 KB Output is correct
10 Correct 223 ms 4320 KB Output is correct
11 Correct 223 ms 4316 KB Output is correct
12 Correct 192 ms 4292 KB Output is correct
13 Correct 237 ms 4332 KB Output is correct
14 Correct 190 ms 4324 KB Output is correct
15 Correct 194 ms 4224 KB Output is correct
16 Correct 46 ms 1032 KB Output is correct
17 Correct 48 ms 1060 KB Output is correct
18 Correct 48 ms 1004 KB Output is correct
19 Correct 50 ms 1064 KB Output is correct
20 Correct 51 ms 1080 KB Output is correct
21 Correct 513 ms 3920 KB Output is correct
22 Correct 485 ms 4020 KB Output is correct
23 Correct 468 ms 3920 KB Output is correct
24 Correct 489 ms 3808 KB Output is correct
25 Correct 522 ms 3880 KB Output is correct
26 Correct 701 ms 3772 KB Output is correct
27 Correct 749 ms 3812 KB Output is correct
28 Correct 704 ms 3756 KB Output is correct
29 Correct 695 ms 3744 KB Output is correct
30 Correct 187 ms 4324 KB Output is correct
31 Correct 181 ms 4292 KB Output is correct
32 Correct 182 ms 4200 KB Output is correct
33 Correct 191 ms 4260 KB Output is correct
34 Correct 179 ms 4252 KB Output is correct
35 Correct 283 ms 4224 KB Output is correct
36 Correct 281 ms 4340 KB Output is correct
37 Correct 274 ms 4308 KB Output is correct
38 Correct 275 ms 4216 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1108 KB Output is correct
2 Correct 6 ms 1028 KB Output is correct
3 Correct 6 ms 1108 KB Output is correct
4 Correct 5 ms 1096 KB Output is correct
5 Correct 7 ms 1108 KB Output is correct
6 Correct 6 ms 1100 KB Output is correct
7 Correct 8 ms 1096 KB Output is correct
8 Correct 7 ms 1112 KB Output is correct
9 Correct 8 ms 1096 KB Output is correct
10 Correct 9 ms 1064 KB Output is correct
11 Correct 6 ms 1108 KB Output is correct
12 Correct 6 ms 1092 KB Output is correct
13 Correct 6 ms 1064 KB Output is correct
14 Correct 6 ms 1108 KB Output is correct
15 Correct 6 ms 1064 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 5 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 4 ms 724 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 4288 KB Output is correct
2 Correct 320 ms 4320 KB Output is correct
3 Correct 295 ms 4228 KB Output is correct
4 Correct 267 ms 4220 KB Output is correct
5 Correct 322 ms 4336 KB Output is correct
6 Correct 194 ms 4332 KB Output is correct
7 Correct 202 ms 4272 KB Output is correct
8 Correct 233 ms 4268 KB Output is correct
9 Correct 218 ms 4332 KB Output is correct
10 Correct 223 ms 4320 KB Output is correct
11 Correct 223 ms 4316 KB Output is correct
12 Correct 192 ms 4292 KB Output is correct
13 Correct 237 ms 4332 KB Output is correct
14 Correct 190 ms 4324 KB Output is correct
15 Correct 194 ms 4224 KB Output is correct
16 Correct 46 ms 1032 KB Output is correct
17 Correct 48 ms 1060 KB Output is correct
18 Correct 48 ms 1004 KB Output is correct
19 Correct 50 ms 1064 KB Output is correct
20 Correct 51 ms 1080 KB Output is correct
21 Correct 513 ms 3920 KB Output is correct
22 Correct 485 ms 4020 KB Output is correct
23 Correct 468 ms 3920 KB Output is correct
24 Correct 489 ms 3808 KB Output is correct
25 Correct 522 ms 3880 KB Output is correct
26 Correct 701 ms 3772 KB Output is correct
27 Correct 749 ms 3812 KB Output is correct
28 Correct 704 ms 3756 KB Output is correct
29 Correct 695 ms 3744 KB Output is correct
30 Correct 187 ms 4324 KB Output is correct
31 Correct 181 ms 4292 KB Output is correct
32 Correct 182 ms 4200 KB Output is correct
33 Correct 191 ms 4260 KB Output is correct
34 Correct 179 ms 4252 KB Output is correct
35 Correct 283 ms 4224 KB Output is correct
36 Correct 281 ms 4340 KB Output is correct
37 Correct 274 ms 4308 KB Output is correct
38 Correct 275 ms 4216 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 6 ms 1028 KB Output is correct
41 Correct 6 ms 1108 KB Output is correct
42 Correct 5 ms 1096 KB Output is correct
43 Correct 7 ms 1108 KB Output is correct
44 Correct 6 ms 1100 KB Output is correct
45 Correct 8 ms 1096 KB Output is correct
46 Correct 7 ms 1112 KB Output is correct
47 Correct 8 ms 1096 KB Output is correct
48 Correct 9 ms 1064 KB Output is correct
49 Correct 6 ms 1108 KB Output is correct
50 Correct 6 ms 1092 KB Output is correct
51 Correct 6 ms 1064 KB Output is correct
52 Correct 6 ms 1108 KB Output is correct
53 Correct 6 ms 1064 KB Output is correct
54 Correct 4 ms 724 KB Output is correct
55 Correct 5 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 4 ms 724 KB Output is correct
59 Correct 513 ms 4332 KB Output is correct
60 Correct 497 ms 4248 KB Output is correct
61 Correct 474 ms 4364 KB Output is correct
62 Correct 494 ms 4252 KB Output is correct
63 Correct 507 ms 4236 KB Output is correct
64 Correct 752 ms 4308 KB Output is correct
65 Correct 748 ms 4276 KB Output is correct
66 Correct 736 ms 4336 KB Output is correct
67 Correct 749 ms 4336 KB Output is correct
68 Correct 741 ms 4236 KB Output is correct
69 Correct 543 ms 4352 KB Output is correct
70 Correct 563 ms 4260 KB Output is correct
71 Correct 564 ms 4280 KB Output is correct
72 Correct 591 ms 4280 KB Output is correct
73 Correct 577 ms 4372 KB Output is correct
74 Correct 90 ms 976 KB Output is correct
75 Correct 91 ms 1016 KB Output is correct
76 Correct 91 ms 1056 KB Output is correct
77 Correct 106 ms 1160 KB Output is correct
78 Correct 102 ms 1024 KB Output is correct