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Submission #199231

# Submission time Handle Problem Language Result Execution time Memory
199231 2020-01-30T15:00:58 Z anachor Boat (APIO16_boat) C++14
100 / 100
 374 ms 16248 KB 
#include<bits/stdc++.h>
using namespace std;

const int N = 1005, M = 1e9+7;
int l[N], r[N];
int st[N], len[N];

typedef long long LL;
LL dp[N][N];
LL sum[N][N];

LL power(LL a, LL p) {
    if (p==0)   return 1;
    LL ans = power(a, p/2);
    ans = (ans * ans)%M;
    if (p%2)    ans = (ans * a)%M;
    return ans;
}

LL f[N][N];
LL inv[N];

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n;
    cin>>n;
    map<int, int> mp;

    for (int i=1; i<=n; i++) {
        cin>>l[i]>>r[i];
        mp[l[i]] = mp[r[i]+1] = 0;
    }

    int sz = 0;
    for (auto &pr: mp) {
        pr.second = ++sz;
        st[sz] = pr.first;
    }

    for (int i=1; i<=n; i++)    inv[i] = power(i, M-2);
    for (int i=1; i<sz; i++)    {
        len[i] = st[i+1] - st[i];
        f[i][0] = 1;
        for (int j=1; j<=n; j++) {
            f[i][j] = (f[i][j-1]*(len[i]+j-1))%M;
            f[i][j] = (f[i][j]*inv[j])%M;
        }
    }

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

    long long ans = 0;

    for (int i=1; i<=n; i++) {
        int ll = mp[l[i]], rr = mp[r[i]+1];

        for (int k=1; k<=sz; k++)  {
            if (!(l[i] <= st[k] && st[k] <= r[i]))  continue;
            int pos = 0;
            for (int j=i; j>=1; j--) {
                if (l[j] <= st[k] && st[k] <= r[j]) pos++;
                dp[i][k] = (dp[i][k] + f[k][pos] * sum[j-1][k-1])%M;
            }
        }

        for (int k=1; k<=sz; k++)
            sum[i][k] = (sum[i][k-1] + dp[i][k])%M;
        ans = (ans + sum[i][sz])%M;
    }

    cout<<ans<<endl;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:58:13: warning: unused variable 'll' [-Wunused-variable]
         int ll = mp[l[i]], rr = mp[r[i]+1];
             ^~
boat.cpp:58:28: warning: unused variable 'rr' [-Wunused-variable]
         int ll = mp[l[i]], rr = mp[r[i]+1];
                            ^~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 14072 KB Output is correct
2 Correct 25 ms 14200 KB Output is correct
3 Correct 23 ms 14200 KB Output is correct
4 Correct 24 ms 14072 KB Output is correct
5 Correct 24 ms 14072 KB Output is correct
6 Correct 24 ms 14200 KB Output is correct
7 Correct 23 ms 14200 KB Output is correct
8 Correct 23 ms 14200 KB Output is correct
9 Correct 24 ms 14200 KB Output is correct
10 Correct 25 ms 14200 KB Output is correct
11 Correct 24 ms 14200 KB Output is correct
12 Correct 23 ms 14200 KB Output is correct
13 Correct 24 ms 14200 KB Output is correct
14 Correct 23 ms 14200 KB Output is correct
15 Correct 25 ms 14200 KB Output is correct
16 Correct 12 ms 6392 KB Output is correct
17 Correct 12 ms 6652 KB Output is correct
18 Correct 12 ms 6520 KB Output is correct
19 Correct 12 ms 6648 KB Output is correct
20 Correct 12 ms 6520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 14072 KB Output is correct
2 Correct 25 ms 14200 KB Output is correct
3 Correct 23 ms 14200 KB Output is correct
4 Correct 24 ms 14072 KB Output is correct
5 Correct 24 ms 14072 KB Output is correct
6 Correct 24 ms 14200 KB Output is correct
7 Correct 23 ms 14200 KB Output is correct
8 Correct 23 ms 14200 KB Output is correct
9 Correct 24 ms 14200 KB Output is correct
10 Correct 25 ms 14200 KB Output is correct
11 Correct 24 ms 14200 KB Output is correct
12 Correct 23 ms 14200 KB Output is correct
13 Correct 24 ms 14200 KB Output is correct
14 Correct 23 ms 14200 KB Output is correct
15 Correct 25 ms 14200 KB Output is correct
16 Correct 12 ms 6392 KB Output is correct
17 Correct 12 ms 6652 KB Output is correct
18 Correct 12 ms 6520 KB Output is correct
19 Correct 12 ms 6648 KB Output is correct
20 Correct 12 ms 6520 KB Output is correct
21 Correct 242 ms 14584 KB Output is correct
22 Correct 240 ms 14712 KB Output is correct
23 Correct 223 ms 14584 KB Output is correct
24 Correct 229 ms 14380 KB Output is correct
25 Correct 237 ms 14564 KB Output is correct
26 Correct 305 ms 14968 KB Output is correct
27 Correct 312 ms 15096 KB Output is correct
28 Correct 323 ms 14996 KB Output is correct
29 Correct 292 ms 14840 KB Output is correct
30 Correct 26 ms 14200 KB Output is correct
31 Correct 25 ms 14200 KB Output is correct
32 Correct 27 ms 14200 KB Output is correct
33 Correct 25 ms 14200 KB Output is correct
34 Correct 25 ms 14200 KB Output is correct
35 Correct 25 ms 14200 KB Output is correct
36 Correct 29 ms 14200 KB Output is correct
37 Correct 26 ms 14072 KB Output is correct
38 Correct 25 ms 14200 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2296 KB Output is correct
2 Correct 9 ms 2296 KB Output is correct
3 Correct 10 ms 2428 KB Output is correct
4 Correct 8 ms 2296 KB Output is correct
5 Correct 8 ms 2428 KB Output is correct
6 Correct 9 ms 2424 KB Output is correct
7 Correct 9 ms 2424 KB Output is correct
8 Correct 9 ms 2424 KB Output is correct
9 Correct 9 ms 2296 KB Output is correct
10 Correct 9 ms 2296 KB Output is correct
11 Correct 8 ms 2300 KB Output is correct
12 Correct 8 ms 2296 KB Output is correct
13 Correct 8 ms 2296 KB Output is correct
14 Correct 8 ms 2296 KB Output is correct
15 Correct 8 ms 2296 KB Output is correct
16 Correct 7 ms 1912 KB Output is correct
17 Correct 7 ms 1784 KB Output is correct
18 Correct 7 ms 1912 KB Output is correct
19 Correct 7 ms 1784 KB Output is correct
20 Correct 7 ms 1784 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 14072 KB Output is correct
2 Correct 25 ms 14200 KB Output is correct
3 Correct 23 ms 14200 KB Output is correct
4 Correct 24 ms 14072 KB Output is correct
5 Correct 24 ms 14072 KB Output is correct
6 Correct 24 ms 14200 KB Output is correct
7 Correct 23 ms 14200 KB Output is correct
8 Correct 23 ms 14200 KB Output is correct
9 Correct 24 ms 14200 KB Output is correct
10 Correct 25 ms 14200 KB Output is correct
11 Correct 24 ms 14200 KB Output is correct
12 Correct 23 ms 14200 KB Output is correct
13 Correct 24 ms 14200 KB Output is correct
14 Correct 23 ms 14200 KB Output is correct
15 Correct 25 ms 14200 KB Output is correct
16 Correct 12 ms 6392 KB Output is correct
17 Correct 12 ms 6652 KB Output is correct
18 Correct 12 ms 6520 KB Output is correct
19 Correct 12 ms 6648 KB Output is correct
20 Correct 12 ms 6520 KB Output is correct
21 Correct 242 ms 14584 KB Output is correct
22 Correct 240 ms 14712 KB Output is correct
23 Correct 223 ms 14584 KB Output is correct
24 Correct 229 ms 14380 KB Output is correct
25 Correct 237 ms 14564 KB Output is correct
26 Correct 305 ms 14968 KB Output is correct
27 Correct 312 ms 15096 KB Output is correct
28 Correct 323 ms 14996 KB Output is correct
29 Correct 292 ms 14840 KB Output is correct
30 Correct 26 ms 14200 KB Output is correct
31 Correct 25 ms 14200 KB Output is correct
32 Correct 27 ms 14200 KB Output is correct
33 Correct 25 ms 14200 KB Output is correct
34 Correct 25 ms 14200 KB Output is correct
35 Correct 25 ms 14200 KB Output is correct
36 Correct 29 ms 14200 KB Output is correct
37 Correct 26 ms 14072 KB Output is correct
38 Correct 25 ms 14200 KB Output is correct
39 Correct 8 ms 2296 KB Output is correct
40 Correct 9 ms 2296 KB Output is correct
41 Correct 10 ms 2428 KB Output is correct
42 Correct 8 ms 2296 KB Output is correct
43 Correct 8 ms 2428 KB Output is correct
44 Correct 9 ms 2424 KB Output is correct
45 Correct 9 ms 2424 KB Output is correct
46 Correct 9 ms 2424 KB Output is correct
47 Correct 9 ms 2296 KB Output is correct
48 Correct 9 ms 2296 KB Output is correct
49 Correct 8 ms 2300 KB Output is correct
50 Correct 8 ms 2296 KB Output is correct
51 Correct 8 ms 2296 KB Output is correct
52 Correct 8 ms 2296 KB Output is correct
53 Correct 8 ms 2296 KB Output is correct
54 Correct 7 ms 1912 KB Output is correct
55 Correct 7 ms 1784 KB Output is correct
56 Correct 7 ms 1912 KB Output is correct
57 Correct 7 ms 1784 KB Output is correct
58 Correct 7 ms 1784 KB Output is correct
59 Correct 283 ms 15224 KB Output is correct
60 Correct 255 ms 15224 KB Output is correct
61 Correct 244 ms 15228 KB Output is correct
62 Correct 273 ms 15224 KB Output is correct
63 Correct 263 ms 15352 KB Output is correct
64 Correct 369 ms 16120 KB Output is correct
65 Correct 363 ms 16124 KB Output is correct
66 Correct 374 ms 16128 KB Output is correct
67 Correct 352 ms 16120 KB Output is correct
68 Correct 361 ms 16248 KB Output is correct
69 Correct 196 ms 15352 KB Output is correct
70 Correct 193 ms 15352 KB Output is correct
71 Correct 198 ms 15384 KB Output is correct
72 Correct 199 ms 15352 KB Output is correct
73 Correct 199 ms 15352 KB Output is correct
74 Correct 52 ms 6776 KB Output is correct
75 Correct 50 ms 6776 KB Output is correct
76 Correct 54 ms 6776 KB Output is correct
77 Correct 52 ms 6776 KB Output is correct
78 Correct 56 ms 6780 KB Output is correct