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Submission #886030

# Submission time Handle Problem Language Result Execution time Memory
886030 2023-12-11T11:59:53 Z NeroZein Boat (APIO16_boat) C++17
100 / 100
 476 ms 2664 KB 
#include "bits/stdc++.h"
using namespace std;

#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int md = (int) 1e9 + 7; 
const int N = 503;

int iv[N]; 
int len[N * 2]; 
int dp[N][N * 2]; 
long long a[N], b[N]; 

void add(int& x, int y) {
  x += y;
  if (x >= md) x -= md; 
}

int mul(int x, int y) {
  return (int) ((long long) x * y % md); 
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int n;
  cin >> n;
  vector<long long> c; 
  for (int i = 1; i <= n; ++i) {
    cin >> a[i] >> b[i]; 
    c.push_back(a[i]);
    c.push_back(++b[i]); 
  }
  sort(c.begin(), c.end()); 
  c.resize(unique(c.begin(), c.end()) - c.begin());
  for (int i = 1; i <= n; ++i) {
    a[i] = upper_bound(c.begin(), c.end(), a[i]) - c.begin(); 
    b[i] = upper_bound(c.begin(), c.end(), b[i]) - c.begin(); 
  }
  iv[1] = 1; 
  for (int i = 2; i <= n; ++i) {
    iv[i] = mul(md - md / i, iv[md % i]); 
  }
  int m = (int) c.size(); 
  for (int i = 1; i < m; ++i) {
    len[i] = c[i] - c[i - 1]; 
  }
  for (int i = 0; i <= m; ++i) {
    dp[0][i] = 1; 
  }
  for (int i = 1; i <= n; ++i) {
    for (int j = a[i]; j < b[i]; ++j) {
      int prod = len[j], cnt = 1; 
      for (int k = i - 1; k >= 0; --k) {
        add(dp[i][j], mul(dp[k][j - 1], prod)); 
        if (a[k] <= j && j < b[k]) {
          prod = mul(prod, iv[cnt + 1]); 
          prod = mul(prod, len[j] + cnt);
          cnt++; 
        }
      }
    }
    for (int j = 1; j <= m; ++j) {
      add(dp[i][j], dp[i][j - 1]); 
    }
  }
  int ans = 0;
  for (int i = 1; i <= n; ++i) {
    add(ans, dp[i][m]); 
  }
  cout << ans << '\n';
  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2396 KB Output is correct
2 Correct 4 ms 2396 KB Output is correct
3 Correct 4 ms 2396 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 4 ms 2396 KB Output is correct
6 Correct 4 ms 2396 KB Output is correct
7 Correct 4 ms 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 4 ms 2396 KB Output is correct
10 Correct 4 ms 2396 KB Output is correct
11 Correct 4 ms 2416 KB Output is correct
12 Correct 4 ms 2396 KB Output is correct
13 Correct 4 ms 2448 KB Output is correct
14 Correct 4 ms 2648 KB Output is correct
15 Correct 4 ms 2264 KB Output is correct
16 Correct 2 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 2 ms 2396 KB Output is correct
20 Correct 2 ms 2396 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2396 KB Output is correct
2 Correct 4 ms 2396 KB Output is correct
3 Correct 4 ms 2396 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 4 ms 2396 KB Output is correct
6 Correct 4 ms 2396 KB Output is correct
7 Correct 4 ms 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 4 ms 2396 KB Output is correct
10 Correct 4 ms 2396 KB Output is correct
11 Correct 4 ms 2416 KB Output is correct
12 Correct 4 ms 2396 KB Output is correct
13 Correct 4 ms 2448 KB Output is correct
14 Correct 4 ms 2648 KB Output is correct
15 Correct 4 ms 2264 KB Output is correct
16 Correct 2 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 2 ms 2396 KB Output is correct
20 Correct 2 ms 2396 KB Output is correct
21 Correct 217 ms 2388 KB Output is correct
22 Correct 209 ms 2432 KB Output is correct
23 Correct 185 ms 2428 KB Output is correct
24 Correct 204 ms 2384 KB Output is correct
25 Correct 204 ms 2384 KB Output is correct
26 Correct 415 ms 2604 KB Output is correct
27 Correct 426 ms 2656 KB Output is correct
28 Correct 414 ms 2388 KB Output is correct
29 Correct 409 ms 2664 KB Output is correct
30 Correct 5 ms 2392 KB Output is correct
31 Correct 4 ms 2396 KB Output is correct
32 Correct 5 ms 2396 KB Output is correct
33 Correct 4 ms 2396 KB Output is correct
34 Correct 5 ms 2396 KB Output is correct
35 Correct 5 ms 2392 KB Output is correct
36 Correct 5 ms 2396 KB Output is correct
37 Correct 5 ms 2396 KB Output is correct
38 Correct 5 ms 2396 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 3 ms 856 KB Output is correct
6 Correct 5 ms 860 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 4 ms 860 KB Output is correct
9 Correct 4 ms 856 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 2 ms 860 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 2 ms 860 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 2 ms 856 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 760 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 2 ms 860 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2396 KB Output is correct
2 Correct 4 ms 2396 KB Output is correct
3 Correct 4 ms 2396 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 4 ms 2396 KB Output is correct
6 Correct 4 ms 2396 KB Output is correct
7 Correct 4 ms 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 4 ms 2396 KB Output is correct
10 Correct 4 ms 2396 KB Output is correct
11 Correct 4 ms 2416 KB Output is correct
12 Correct 4 ms 2396 KB Output is correct
13 Correct 4 ms 2448 KB Output is correct
14 Correct 4 ms 2648 KB Output is correct
15 Correct 4 ms 2264 KB Output is correct
16 Correct 2 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 2 ms 2396 KB Output is correct
20 Correct 2 ms 2396 KB Output is correct
21 Correct 217 ms 2388 KB Output is correct
22 Correct 209 ms 2432 KB Output is correct
23 Correct 185 ms 2428 KB Output is correct
24 Correct 204 ms 2384 KB Output is correct
25 Correct 204 ms 2384 KB Output is correct
26 Correct 415 ms 2604 KB Output is correct
27 Correct 426 ms 2656 KB Output is correct
28 Correct 414 ms 2388 KB Output is correct
29 Correct 409 ms 2664 KB Output is correct
30 Correct 5 ms 2392 KB Output is correct
31 Correct 4 ms 2396 KB Output is correct
32 Correct 5 ms 2396 KB Output is correct
33 Correct 4 ms 2396 KB Output is correct
34 Correct 5 ms 2396 KB Output is correct
35 Correct 5 ms 2392 KB Output is correct
36 Correct 5 ms 2396 KB Output is correct
37 Correct 5 ms 2396 KB Output is correct
38 Correct 5 ms 2396 KB Output is correct
39 Correct 2 ms 856 KB Output is correct
40 Correct 2 ms 860 KB Output is correct
41 Correct 2 ms 860 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 3 ms 856 KB Output is correct
44 Correct 5 ms 860 KB Output is correct
45 Correct 4 ms 860 KB Output is correct
46 Correct 4 ms 860 KB Output is correct
47 Correct 4 ms 856 KB Output is correct
48 Correct 4 ms 860 KB Output is correct
49 Correct 2 ms 860 KB Output is correct
50 Correct 2 ms 860 KB Output is correct
51 Correct 2 ms 860 KB Output is correct
52 Correct 2 ms 860 KB Output is correct
53 Correct 2 ms 860 KB Output is correct
54 Correct 2 ms 856 KB Output is correct
55 Correct 2 ms 860 KB Output is correct
56 Correct 2 ms 760 KB Output is correct
57 Correct 2 ms 860 KB Output is correct
58 Correct 2 ms 860 KB Output is correct
59 Correct 233 ms 2364 KB Output is correct
60 Correct 215 ms 2388 KB Output is correct
61 Correct 206 ms 2240 KB Output is correct
62 Correct 234 ms 2388 KB Output is correct
63 Correct 222 ms 2264 KB Output is correct
64 Correct 472 ms 2612 KB Output is correct
65 Correct 474 ms 2388 KB Output is correct
66 Correct 472 ms 2296 KB Output is correct
67 Correct 476 ms 2476 KB Output is correct
68 Correct 472 ms 2256 KB Output is correct
69 Correct 191 ms 2492 KB Output is correct
70 Correct 187 ms 2312 KB Output is correct
71 Correct 187 ms 2320 KB Output is correct
72 Correct 200 ms 2404 KB Output is correct
73 Correct 199 ms 2384 KB Output is correct
74 Correct 48 ms 2388 KB Output is correct
75 Correct 45 ms 2388 KB Output is correct
76 Correct 48 ms 2388 KB Output is correct
77 Correct 48 ms 2252 KB Output is correct
78 Correct 49 ms 2384 KB Output is correct