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Submission #255510

# Submission time Handle Problem Language Result Execution time Memory
255510 2020-08-01T06:51:38 Z rama_pang Boat (APIO16_boat) C++14
100 / 100
 427 ms 4512 KB 
#include <bits/stdc++.h>
using namespace std;

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

  int N;
  cin >> N;
  vector<int> X = {0};
  vector<int> A(N + 1), B(N + 1);
  for (int i = 1; i <= N; i++) {
    cin >> A[i] >> B[i];
    X.emplace_back(A[i]);
    X.emplace_back(B[i] + 1);
  }
  sort(begin(X), end(X));
  X.erase(unique(begin(X), end(X)), end(X));
  for (int i = 1; i <= N; i++) {
    A[i] = lower_bound(begin(X), end(X), A[i]) - begin(X);
    B[i] = upper_bound(begin(X), end(X), B[i]) - begin(X);
  }

  const int MOD = 1e9 + 7;

  vector<int> inv(N + 1);
  inv[0] = 0, inv[1] = 1;
  for (int i = 2; i <= N; i++) {
    inv[i] = (MOD - 1ll * (MOD / i) * inv[MOD % i] % MOD) % MOD;
  }

  vector<vector<int>> cmb(N + 1, vector<int>(X.size(), 0));
  for (int i = 1; i < (int) X.size(); i++) {
    cmb[0][i] = 1;
    int x = X[i] - X[i - 1];
    for (int j = 1; j <= N; j++) {
      cmb[j][i] = 1ll * cmb[j - 1][i] * (x + j - 1) % MOD * inv[j] % MOD;
    }
  }

  vector<vector<int>> dp(N + 1, vector<int>(X.size(), 0));
  dp[0] = vector<int>(X.size(), 1);
  for (int i = 1; i <= N; i++) {
    dp[i][0] = 1;
    for (int j = 1; j < (int) X.size(); j++) { // [X[j - 1], X[j])
      dp[i][j] = dp[i][j - 1];
      for (int k = i, cnt = 0; k > 0; k--) if (A[k] < j && j <= B[k]) {
        dp[i][j] += 1ll * cmb[++cnt][j] * dp[k - 1][j - 1] % MOD;
        if (dp[i][j] >= MOD) dp[i][j] -= MOD;
      }
    }
  }

  cout << ((dp[N][(int) X.size() - 1] - 1 + MOD) % MOD) << "\n";
  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4472 KB Output is correct
2 Correct 253 ms 4472 KB Output is correct
3 Correct 252 ms 4472 KB Output is correct
4 Correct 250 ms 4352 KB Output is correct
5 Correct 248 ms 4376 KB Output is correct
6 Correct 163 ms 4352 KB Output is correct
7 Correct 146 ms 4352 KB Output is correct
8 Correct 160 ms 4352 KB Output is correct
9 Correct 155 ms 4472 KB Output is correct
10 Correct 149 ms 4472 KB Output is correct
11 Correct 150 ms 4512 KB Output is correct
12 Correct 153 ms 4472 KB Output is correct
13 Correct 146 ms 4352 KB Output is correct
14 Correct 138 ms 4368 KB Output is correct
15 Correct 150 ms 4472 KB Output is correct
16 Correct 51 ms 1024 KB Output is correct
17 Correct 55 ms 1152 KB Output is correct
18 Correct 52 ms 1152 KB Output is correct
19 Correct 55 ms 1200 KB Output is correct
20 Correct 54 ms 1152 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4472 KB Output is correct
2 Correct 253 ms 4472 KB Output is correct
3 Correct 252 ms 4472 KB Output is correct
4 Correct 250 ms 4352 KB Output is correct
5 Correct 248 ms 4376 KB Output is correct
6 Correct 163 ms 4352 KB Output is correct
7 Correct 146 ms 4352 KB Output is correct
8 Correct 160 ms 4352 KB Output is correct
9 Correct 155 ms 4472 KB Output is correct
10 Correct 149 ms 4472 KB Output is correct
11 Correct 150 ms 4512 KB Output is correct
12 Correct 153 ms 4472 KB Output is correct
13 Correct 146 ms 4352 KB Output is correct
14 Correct 138 ms 4368 KB Output is correct
15 Correct 150 ms 4472 KB Output is correct
16 Correct 51 ms 1024 KB Output is correct
17 Correct 55 ms 1152 KB Output is correct
18 Correct 52 ms 1152 KB Output is correct
19 Correct 55 ms 1200 KB Output is correct
20 Correct 54 ms 1152 KB Output is correct
21 Correct 331 ms 3968 KB Output is correct
22 Correct 343 ms 4088 KB Output is correct
23 Correct 316 ms 3968 KB Output is correct
24 Correct 331 ms 3968 KB Output is correct
25 Correct 334 ms 3968 KB Output is correct
26 Correct 338 ms 3896 KB Output is correct
27 Correct 349 ms 3840 KB Output is correct
28 Correct 352 ms 3960 KB Output is correct
29 Correct 348 ms 3840 KB Output is correct
30 Correct 163 ms 4352 KB Output is correct
31 Correct 152 ms 4352 KB Output is correct
32 Correct 151 ms 4472 KB Output is correct
33 Correct 152 ms 4352 KB Output is correct
34 Correct 148 ms 4352 KB Output is correct
35 Correct 258 ms 4472 KB Output is correct
36 Correct 256 ms 4352 KB Output is correct
37 Correct 256 ms 4352 KB Output is correct
38 Correct 252 ms 4472 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 512 KB Output is correct
2 Correct 4 ms 512 KB Output is correct
3 Correct 4 ms 512 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 3 ms 512 KB Output is correct
6 Correct 4 ms 640 KB Output is correct
7 Correct 4 ms 512 KB Output is correct
8 Correct 4 ms 512 KB Output is correct
9 Correct 4 ms 512 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 4 ms 512 KB Output is correct
12 Correct 3 ms 512 KB Output is correct
13 Correct 4 ms 512 KB Output is correct
14 Correct 4 ms 512 KB Output is correct
15 Correct 4 ms 512 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 4 ms 512 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4472 KB Output is correct
2 Correct 253 ms 4472 KB Output is correct
3 Correct 252 ms 4472 KB Output is correct
4 Correct 250 ms 4352 KB Output is correct
5 Correct 248 ms 4376 KB Output is correct
6 Correct 163 ms 4352 KB Output is correct
7 Correct 146 ms 4352 KB Output is correct
8 Correct 160 ms 4352 KB Output is correct
9 Correct 155 ms 4472 KB Output is correct
10 Correct 149 ms 4472 KB Output is correct
11 Correct 150 ms 4512 KB Output is correct
12 Correct 153 ms 4472 KB Output is correct
13 Correct 146 ms 4352 KB Output is correct
14 Correct 138 ms 4368 KB Output is correct
15 Correct 150 ms 4472 KB Output is correct
16 Correct 51 ms 1024 KB Output is correct
17 Correct 55 ms 1152 KB Output is correct
18 Correct 52 ms 1152 KB Output is correct
19 Correct 55 ms 1200 KB Output is correct
20 Correct 54 ms 1152 KB Output is correct
21 Correct 331 ms 3968 KB Output is correct
22 Correct 343 ms 4088 KB Output is correct
23 Correct 316 ms 3968 KB Output is correct
24 Correct 331 ms 3968 KB Output is correct
25 Correct 334 ms 3968 KB Output is correct
26 Correct 338 ms 3896 KB Output is correct
27 Correct 349 ms 3840 KB Output is correct
28 Correct 352 ms 3960 KB Output is correct
29 Correct 348 ms 3840 KB Output is correct
30 Correct 163 ms 4352 KB Output is correct
31 Correct 152 ms 4352 KB Output is correct
32 Correct 151 ms 4472 KB Output is correct
33 Correct 152 ms 4352 KB Output is correct
34 Correct 148 ms 4352 KB Output is correct
35 Correct 258 ms 4472 KB Output is correct
36 Correct 256 ms 4352 KB Output is correct
37 Correct 256 ms 4352 KB Output is correct
38 Correct 252 ms 4472 KB Output is correct
39 Correct 4 ms 512 KB Output is correct
40 Correct 4 ms 512 KB Output is correct
41 Correct 4 ms 512 KB Output is correct
42 Correct 4 ms 512 KB Output is correct
43 Correct 3 ms 512 KB Output is correct
44 Correct 4 ms 640 KB Output is correct
45 Correct 4 ms 512 KB Output is correct
46 Correct 4 ms 512 KB Output is correct
47 Correct 4 ms 512 KB Output is correct
48 Correct 5 ms 512 KB Output is correct
49 Correct 4 ms 512 KB Output is correct
50 Correct 3 ms 512 KB Output is correct
51 Correct 4 ms 512 KB Output is correct
52 Correct 4 ms 512 KB Output is correct
53 Correct 4 ms 512 KB Output is correct
54 Correct 2 ms 384 KB Output is correct
55 Correct 4 ms 512 KB Output is correct
56 Correct 2 ms 384 KB Output is correct
57 Correct 2 ms 384 KB Output is correct
58 Correct 2 ms 384 KB Output is correct
59 Correct 369 ms 4352 KB Output is correct
60 Correct 364 ms 4372 KB Output is correct
61 Correct 359 ms 4372 KB Output is correct
62 Correct 365 ms 4472 KB Output is correct
63 Correct 361 ms 4372 KB Output is correct
64 Correct 427 ms 4472 KB Output is correct
65 Correct 394 ms 4472 KB Output is correct
66 Correct 399 ms 4376 KB Output is correct
67 Correct 380 ms 4352 KB Output is correct
68 Correct 407 ms 4276 KB Output is correct
69 Correct 360 ms 4372 KB Output is correct
70 Correct 392 ms 4352 KB Output is correct
71 Correct 363 ms 4476 KB Output is correct
72 Correct 368 ms 4352 KB Output is correct
73 Correct 363 ms 4472 KB Output is correct
74 Correct 82 ms 1152 KB Output is correct
75 Correct 91 ms 1152 KB Output is correct
76 Correct 82 ms 1152 KB Output is correct
77 Correct 82 ms 1152 KB Output is correct
78 Correct 78 ms 1152 KB Output is correct