Submission #343643

# Submission time Handle Problem Language Result Execution time Memory
343643 2021-01-04T10:24:41 Z parsabahrami Boat (APIO16_boat) C++17
100 / 100
539 ms 2560 KB
#include <bits/stdc++.h>
 
using namespace std;

typedef long long int ll;
typedef pair<int, int> pii;
 
#define SZ(x)                       (int) x.size()
#define F                           first
#define S                           second

int Pow(int a, int b, int md, int res = 1) {
    for (; b; b >>= 1, a = 1ll * a * a % md) {
        if (b & 1) res = 1ll * a * res % md;
    }
    return res;
}

const int N = 1e3 + 10, MOD = 1e9 + 7;
int dp[N][N], I[N], L[N], R[N], n;
vector<int> comp = {0, MOD};

int add(int x, int y) {
    int res = x + y;
    if (res >= MOD) res -= MOD;
    return res;
}

int main() {
    for (int i = 1; i < N; i++) I[i] = Pow(i, MOD - 2, MOD);
    scanf("%d", &n);
    for (int i = 1; i <= n; i++) {
        scanf("%d%d", &L[i], &R[i]);
        R[i]++;
        comp.push_back(L[i]);
        comp.push_back(R[i]);
    }
    sort(comp.begin(), comp.end());
    comp.resize(unique(comp.begin(), comp.end()) - comp.begin());
    int m = SZ(comp);
    for (int i = 1; i < m; i++) dp[0][i] = 1;
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j < m; j++) {
            dp[i][j] = dp[i][j - 1];
            if (L[i] > comp[j - 1] || R[i] < comp[j]) continue;
            int len = comp[j] - comp[j - 1];
            int C = 1ll * len * (len - 1) % MOD * ((MOD + 1) / 2) % MOD, k = 1;
            dp[i][j] = add(dp[i][j], 1ll * dp[i - 1][j - 1] * len % MOD);
            for (int last = i - 1; last >= 1; last--) {
                if (L[last] > comp[j - 1] || R[last] < comp[j]) continue;
                dp[i][j] = add(dp[i][j], 1ll * dp[last - 1][j - 1] * C % MOD);
                C = (1ll * (len + k) * C % MOD * I[k + 2] % MOD) % MOD;
                k++;
            }
        }
        for (int j = 1; j < m; j++) dp[i][j] = add(dp[i][j], dp[i - 1][j]);
    }
    printf("%d\n", dp[n][m - 1] - 1);
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:31:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   31 |     scanf("%d", &n);
      |     ~~~~~^~~~~~~~~~
boat.cpp:33:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   33 |         scanf("%d%d", &L[i], &R[i]);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2284 KB Output is correct
2 Correct 4 ms 2284 KB Output is correct
3 Correct 4 ms 2284 KB Output is correct
4 Correct 6 ms 2284 KB Output is correct
5 Correct 5 ms 2284 KB Output is correct
6 Correct 4 ms 2284 KB Output is correct
7 Correct 4 ms 2284 KB Output is correct
8 Correct 4 ms 2284 KB Output is correct
9 Correct 4 ms 2284 KB Output is correct
10 Correct 4 ms 2284 KB Output is correct
11 Correct 4 ms 2284 KB Output is correct
12 Correct 5 ms 2284 KB Output is correct
13 Correct 4 ms 2284 KB Output is correct
14 Correct 4 ms 2284 KB Output is correct
15 Correct 4 ms 2412 KB Output is correct
16 Correct 3 ms 2284 KB Output is correct
17 Correct 3 ms 2284 KB Output is correct
18 Correct 3 ms 2284 KB Output is correct
19 Correct 3 ms 2284 KB Output is correct
20 Correct 3 ms 2284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2284 KB Output is correct
2 Correct 4 ms 2284 KB Output is correct
3 Correct 4 ms 2284 KB Output is correct
4 Correct 6 ms 2284 KB Output is correct
5 Correct 5 ms 2284 KB Output is correct
6 Correct 4 ms 2284 KB Output is correct
7 Correct 4 ms 2284 KB Output is correct
8 Correct 4 ms 2284 KB Output is correct
9 Correct 4 ms 2284 KB Output is correct
10 Correct 4 ms 2284 KB Output is correct
11 Correct 4 ms 2284 KB Output is correct
12 Correct 5 ms 2284 KB Output is correct
13 Correct 4 ms 2284 KB Output is correct
14 Correct 4 ms 2284 KB Output is correct
15 Correct 4 ms 2412 KB Output is correct
16 Correct 3 ms 2284 KB Output is correct
17 Correct 3 ms 2284 KB Output is correct
18 Correct 3 ms 2284 KB Output is correct
19 Correct 3 ms 2284 KB Output is correct
20 Correct 3 ms 2284 KB Output is correct
21 Correct 219 ms 2284 KB Output is correct
22 Correct 214 ms 2412 KB Output is correct
23 Correct 187 ms 2284 KB Output is correct
24 Correct 210 ms 2284 KB Output is correct
25 Correct 211 ms 2284 KB Output is correct
26 Correct 464 ms 2284 KB Output is correct
27 Correct 480 ms 2284 KB Output is correct
28 Correct 467 ms 2412 KB Output is correct
29 Correct 462 ms 2412 KB Output is correct
30 Correct 4 ms 2284 KB Output is correct
31 Correct 4 ms 2284 KB Output is correct
32 Correct 4 ms 2284 KB Output is correct
33 Correct 4 ms 2284 KB Output is correct
34 Correct 5 ms 2284 KB Output is correct
35 Correct 5 ms 2284 KB Output is correct
36 Correct 5 ms 2284 KB Output is correct
37 Correct 5 ms 2284 KB Output is correct
38 Correct 5 ms 2284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 748 KB Output is correct
2 Correct 3 ms 748 KB Output is correct
3 Correct 3 ms 748 KB Output is correct
4 Correct 3 ms 748 KB Output is correct
5 Correct 3 ms 748 KB Output is correct
6 Correct 5 ms 748 KB Output is correct
7 Correct 6 ms 876 KB Output is correct
8 Correct 5 ms 748 KB Output is correct
9 Correct 6 ms 748 KB Output is correct
10 Correct 5 ms 748 KB Output is correct
11 Correct 3 ms 748 KB Output is correct
12 Correct 2 ms 748 KB Output is correct
13 Correct 3 ms 748 KB Output is correct
14 Correct 3 ms 748 KB Output is correct
15 Correct 3 ms 748 KB Output is correct
16 Correct 2 ms 748 KB Output is correct
17 Correct 2 ms 748 KB Output is correct
18 Correct 2 ms 748 KB Output is correct
19 Correct 2 ms 748 KB Output is correct
20 Correct 2 ms 748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2284 KB Output is correct
2 Correct 4 ms 2284 KB Output is correct
3 Correct 4 ms 2284 KB Output is correct
4 Correct 6 ms 2284 KB Output is correct
5 Correct 5 ms 2284 KB Output is correct
6 Correct 4 ms 2284 KB Output is correct
7 Correct 4 ms 2284 KB Output is correct
8 Correct 4 ms 2284 KB Output is correct
9 Correct 4 ms 2284 KB Output is correct
10 Correct 4 ms 2284 KB Output is correct
11 Correct 4 ms 2284 KB Output is correct
12 Correct 5 ms 2284 KB Output is correct
13 Correct 4 ms 2284 KB Output is correct
14 Correct 4 ms 2284 KB Output is correct
15 Correct 4 ms 2412 KB Output is correct
16 Correct 3 ms 2284 KB Output is correct
17 Correct 3 ms 2284 KB Output is correct
18 Correct 3 ms 2284 KB Output is correct
19 Correct 3 ms 2284 KB Output is correct
20 Correct 3 ms 2284 KB Output is correct
21 Correct 219 ms 2284 KB Output is correct
22 Correct 214 ms 2412 KB Output is correct
23 Correct 187 ms 2284 KB Output is correct
24 Correct 210 ms 2284 KB Output is correct
25 Correct 211 ms 2284 KB Output is correct
26 Correct 464 ms 2284 KB Output is correct
27 Correct 480 ms 2284 KB Output is correct
28 Correct 467 ms 2412 KB Output is correct
29 Correct 462 ms 2412 KB Output is correct
30 Correct 4 ms 2284 KB Output is correct
31 Correct 4 ms 2284 KB Output is correct
32 Correct 4 ms 2284 KB Output is correct
33 Correct 4 ms 2284 KB Output is correct
34 Correct 5 ms 2284 KB Output is correct
35 Correct 5 ms 2284 KB Output is correct
36 Correct 5 ms 2284 KB Output is correct
37 Correct 5 ms 2284 KB Output is correct
38 Correct 5 ms 2284 KB Output is correct
39 Correct 3 ms 748 KB Output is correct
40 Correct 3 ms 748 KB Output is correct
41 Correct 3 ms 748 KB Output is correct
42 Correct 3 ms 748 KB Output is correct
43 Correct 3 ms 748 KB Output is correct
44 Correct 5 ms 748 KB Output is correct
45 Correct 6 ms 876 KB Output is correct
46 Correct 5 ms 748 KB Output is correct
47 Correct 6 ms 748 KB Output is correct
48 Correct 5 ms 748 KB Output is correct
49 Correct 3 ms 748 KB Output is correct
50 Correct 2 ms 748 KB Output is correct
51 Correct 3 ms 748 KB Output is correct
52 Correct 3 ms 748 KB Output is correct
53 Correct 3 ms 748 KB Output is correct
54 Correct 2 ms 748 KB Output is correct
55 Correct 2 ms 748 KB Output is correct
56 Correct 2 ms 748 KB Output is correct
57 Correct 2 ms 748 KB Output is correct
58 Correct 2 ms 748 KB Output is correct
59 Correct 240 ms 2340 KB Output is correct
60 Correct 220 ms 2412 KB Output is correct
61 Correct 205 ms 2284 KB Output is correct
62 Correct 242 ms 2284 KB Output is correct
63 Correct 226 ms 2384 KB Output is correct
64 Correct 531 ms 2284 KB Output is correct
65 Correct 539 ms 2284 KB Output is correct
66 Correct 537 ms 2284 KB Output is correct
67 Correct 530 ms 2560 KB Output is correct
68 Correct 529 ms 2412 KB Output is correct
69 Correct 199 ms 2412 KB Output is correct
70 Correct 203 ms 2284 KB Output is correct
71 Correct 200 ms 2284 KB Output is correct
72 Correct 212 ms 2412 KB Output is correct
73 Correct 219 ms 2284 KB Output is correct
74 Correct 51 ms 2284 KB Output is correct
75 Correct 52 ms 2284 KB Output is correct
76 Correct 50 ms 2284 KB Output is correct
77 Correct 51 ms 2412 KB Output is correct
78 Correct 52 ms 2284 KB Output is correct