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Submission #109551

# Submission time Handle Problem Language Result Execution time Memory
109551 2019-05-07T04:02:47 Z PeppaPig Boat (APIO16_boat) C++14
100 / 100
 974 ms 4472 KB 
#include <bits/stdc++.h>

#define long long long

using namespace std;

const int N = 1005;
const int M = 1e9+7;

long inv[N];

long modpow(long a, long b) {
    long ret = 1;
    for( ; b; b >>= 1) {
        if(b & 1) ret = (ret * a) % M;
        a = (a * a) % M;
    }
    return ret;
}

int n, a[N], b[N];
long dp[N][N];
vector<int> coord;

int main() {
    for(int i = 1; i < N; i++) inv[i] = modpow(i, M-2);
    scanf("%d", &n);
    for(int i = 1; i <= n; i++) {
        scanf("%d %d", a+i, b+i);
        coord.emplace_back(a[i]);
        coord.emplace_back(++b[i]);
    }
    sort(coord.begin(), coord.end());
    coord.resize(unique(coord.begin(), coord.end()) - coord.begin());
    for(int i = 1; i <= n; i++) {
        a[i] = lower_bound(coord.begin(), coord.end(), a[i]) - coord.begin() + 1;
        b[i] = lower_bound(coord.begin(), coord.end(), b[i]) - coord.begin() + 1;
    }
    for(int i = 0; i < N; i++) dp[0][i] = 1;
    for(int i = 1; i <= n; i++) {
        for(int j = a[i]; j < b[i]; j++) {
            long p = coord[j] - coord[j-1], cnt = 1;
            for(int k = i-1; ~k; k--) {
                dp[i][j] = (dp[i][j] + (p * dp[k][j-1]) % M) % M;
                if(a[k] <= j && j < b[k]) {
                    ++cnt;
                    p = (p * (coord[j] - coord[j-1] + cnt - 1)) % M;
                    p = (p * inv[cnt]) % M;
                }
            }
        }
        for(int j = 1; j < N; j++) dp[i][j] = (dp[i][j] + dp[i][j-1]) % M;
    }
    long ans = 0;
    for(int i = 1; i <= n; i++) ans = (ans + dp[i][N-1]) % M;
    printf("%lld\n", ans);

    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:27:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:29:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", a+i, b+i);
         ~~~~~^~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 14 ms 4224 KB Output is correct
3 Correct 14 ms 4352 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 13 ms 4352 KB Output is correct
7 Correct 12 ms 4268 KB Output is correct
8 Correct 14 ms 4352 KB Output is correct
9 Correct 16 ms 4324 KB Output is correct
10 Correct 16 ms 4344 KB Output is correct
11 Correct 13 ms 4352 KB Output is correct
12 Correct 14 ms 4224 KB Output is correct
13 Correct 12 ms 4224 KB Output is correct
14 Correct 13 ms 4352 KB Output is correct
15 Correct 14 ms 4216 KB Output is correct
16 Correct 13 ms 4224 KB Output is correct
17 Correct 14 ms 4224 KB Output is correct
18 Correct 12 ms 4352 KB Output is correct
19 Correct 14 ms 4224 KB Output is correct
20 Correct 14 ms 4352 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 14 ms 4224 KB Output is correct
3 Correct 14 ms 4352 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 13 ms 4352 KB Output is correct
7 Correct 12 ms 4268 KB Output is correct
8 Correct 14 ms 4352 KB Output is correct
9 Correct 16 ms 4324 KB Output is correct
10 Correct 16 ms 4344 KB Output is correct
11 Correct 13 ms 4352 KB Output is correct
12 Correct 14 ms 4224 KB Output is correct
13 Correct 12 ms 4224 KB Output is correct
14 Correct 13 ms 4352 KB Output is correct
15 Correct 14 ms 4216 KB Output is correct
16 Correct 13 ms 4224 KB Output is correct
17 Correct 14 ms 4224 KB Output is correct
18 Correct 12 ms 4352 KB Output is correct
19 Correct 14 ms 4224 KB Output is correct
20 Correct 14 ms 4352 KB Output is correct
21 Correct 734 ms 4224 KB Output is correct
22 Correct 669 ms 4336 KB Output is correct
23 Correct 562 ms 4344 KB Output is correct
24 Correct 559 ms 4216 KB Output is correct
25 Correct 528 ms 4380 KB Output is correct
26 Correct 653 ms 4368 KB Output is correct
27 Correct 700 ms 4472 KB Output is correct
28 Correct 691 ms 4404 KB Output is correct
29 Correct 974 ms 4368 KB Output is correct
30 Correct 18 ms 4224 KB Output is correct
31 Correct 15 ms 4224 KB Output is correct
32 Correct 17 ms 4344 KB Output is correct
33 Correct 17 ms 4352 KB Output is correct
34 Correct 16 ms 4224 KB Output is correct
35 Correct 17 ms 4224 KB Output is correct
36 Correct 18 ms 4224 KB Output is correct
37 Correct 16 ms 4224 KB Output is correct
38 Correct 19 ms 4316 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 1152 KB Output is correct
2 Correct 6 ms 1152 KB Output is correct
3 Correct 11 ms 1152 KB Output is correct
4 Correct 7 ms 1152 KB Output is correct
5 Correct 7 ms 1152 KB Output is correct
6 Correct 8 ms 1152 KB Output is correct
7 Correct 9 ms 1152 KB Output is correct
8 Correct 8 ms 1152 KB Output is correct
9 Correct 9 ms 1152 KB Output is correct
10 Correct 9 ms 1152 KB Output is correct
11 Correct 6 ms 1152 KB Output is correct
12 Correct 8 ms 1152 KB Output is correct
13 Correct 7 ms 1152 KB Output is correct
14 Correct 6 ms 1152 KB Output is correct
15 Correct 8 ms 1152 KB Output is correct
16 Correct 6 ms 1152 KB Output is correct
17 Correct 5 ms 1152 KB Output is correct
18 Correct 5 ms 1152 KB Output is correct
19 Correct 5 ms 1152 KB Output is correct
20 Correct 7 ms 1152 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 14 ms 4224 KB Output is correct
3 Correct 14 ms 4352 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 13 ms 4352 KB Output is correct
7 Correct 12 ms 4268 KB Output is correct
8 Correct 14 ms 4352 KB Output is correct
9 Correct 16 ms 4324 KB Output is correct
10 Correct 16 ms 4344 KB Output is correct
11 Correct 13 ms 4352 KB Output is correct
12 Correct 14 ms 4224 KB Output is correct
13 Correct 12 ms 4224 KB Output is correct
14 Correct 13 ms 4352 KB Output is correct
15 Correct 14 ms 4216 KB Output is correct
16 Correct 13 ms 4224 KB Output is correct
17 Correct 14 ms 4224 KB Output is correct
18 Correct 12 ms 4352 KB Output is correct
19 Correct 14 ms 4224 KB Output is correct
20 Correct 14 ms 4352 KB Output is correct
21 Correct 734 ms 4224 KB Output is correct
22 Correct 669 ms 4336 KB Output is correct
23 Correct 562 ms 4344 KB Output is correct
24 Correct 559 ms 4216 KB Output is correct
25 Correct 528 ms 4380 KB Output is correct
26 Correct 653 ms 4368 KB Output is correct
27 Correct 700 ms 4472 KB Output is correct
28 Correct 691 ms 4404 KB Output is correct
29 Correct 974 ms 4368 KB Output is correct
30 Correct 18 ms 4224 KB Output is correct
31 Correct 15 ms 4224 KB Output is correct
32 Correct 17 ms 4344 KB Output is correct
33 Correct 17 ms 4352 KB Output is correct
34 Correct 16 ms 4224 KB Output is correct
35 Correct 17 ms 4224 KB Output is correct
36 Correct 18 ms 4224 KB Output is correct
37 Correct 16 ms 4224 KB Output is correct
38 Correct 19 ms 4316 KB Output is correct
39 Correct 27 ms 1152 KB Output is correct
40 Correct 6 ms 1152 KB Output is correct
41 Correct 11 ms 1152 KB Output is correct
42 Correct 7 ms 1152 KB Output is correct
43 Correct 7 ms 1152 KB Output is correct
44 Correct 8 ms 1152 KB Output is correct
45 Correct 9 ms 1152 KB Output is correct
46 Correct 8 ms 1152 KB Output is correct
47 Correct 9 ms 1152 KB Output is correct
48 Correct 9 ms 1152 KB Output is correct
49 Correct 6 ms 1152 KB Output is correct
50 Correct 8 ms 1152 KB Output is correct
51 Correct 7 ms 1152 KB Output is correct
52 Correct 6 ms 1152 KB Output is correct
53 Correct 8 ms 1152 KB Output is correct
54 Correct 6 ms 1152 KB Output is correct
55 Correct 5 ms 1152 KB Output is correct
56 Correct 5 ms 1152 KB Output is correct
57 Correct 5 ms 1152 KB Output is correct
58 Correct 7 ms 1152 KB Output is correct
59 Correct 824 ms 4240 KB Output is correct
60 Correct 830 ms 4292 KB Output is correct
61 Correct 706 ms 4264 KB Output is correct
62 Correct 737 ms 4344 KB Output is correct
63 Correct 689 ms 4472 KB Output is correct
64 Correct 901 ms 4392 KB Output is correct
65 Correct 824 ms 4360 KB Output is correct
66 Correct 834 ms 4248 KB Output is correct
67 Correct 849 ms 4408 KB Output is correct
68 Correct 827 ms 4296 KB Output is correct
69 Correct 398 ms 4252 KB Output is correct
70 Correct 475 ms 4332 KB Output is correct
71 Correct 394 ms 4472 KB Output is correct
72 Correct 391 ms 4316 KB Output is correct
73 Correct 428 ms 4396 KB Output is correct
74 Correct 90 ms 4344 KB Output is correct
75 Correct 118 ms 4300 KB Output is correct
76 Correct 106 ms 4216 KB Output is correct
77 Correct 101 ms 4272 KB Output is correct
78 Correct 97 ms 4344 KB Output is correct