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Submission #41594

# Submission time Handle Problem Language Result Execution time Memory
41594 2018-02-19T18:37:43 Z gabrielsimoes Boat (APIO16_boat) C++14
0 / 100
 8 ms 1016 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const ll MOD = 1000000007;
const int MAXN = 510;

ll fastpow(ll a, ll b) {
  ll result = 1;
  ll cur = a;
  while (b) {
    if (b & 1) result = (result * cur) % MOD;
    cur = (cur * cur) % MOD;
    b >>= 1;
  }
  return result;
}

int n;
int va[MAXN], vb[MAXN];
ll dp[MAXN], sum[MAXN];
vector<int> splits;
vector<ll> v;
ll inv[MAXN];

ll bin(ll a, ll b) {
  ll result = 1;
  while (a && b) result = (result + (a--) * inv[b--]);
  return result;
}

int main() {
  for (int i = 1; i < MAXN; i++) inv[i] = fastpow(i, MOD - 2);

  scanf("%d", &n);

  for (int i = 1; i <= n; i++) {
    scanf("%d %d", &va[i], &vb[i]);
    vb[i]++;
    splits.push_back(va[i]);
    splits.push_back(vb[i]);
  }

  sort(splits.begin(), splits.end());
  splits.resize(unique(splits.begin(), splits.end()) - splits.begin());

  for (int i = 1; i <= n; i++) {
    va[i] = (lower_bound(splits.begin(), splits.end(), va[i]) - splits.begin());
    vb[i] = (lower_bound(splits.begin(), splits.end(), vb[i]) - splits.begin());
  }

  for (int split = 1; split < splits.size(); split++) {
    ll splitSize = splits[split] - splits[split - 1];

    for (int i = 1; i <= n; i++) {
      if (va[i] < split && vb[i] >= split) {
        dp[i] = (dp[i] + splitSize) % MOD;
        v.push_back(sum[i - 1]);

        for (auto p = v.rbegin(); p != v.rend(); p++) {
          int cnt = (p - v.rbegin()) + 1;
          if (cnt > 1)
            dp[i] = (dp[i] + (*p) * bin(splitSize + cnt - 2, cnt)) % MOD;
          else
            dp[i] = (dp[i] + (*p) * splitSize) % MOD;
        }
      }
    }

    for (int i = 1; i <= n; i++) sum[i] = (sum[i - 1] + dp[i]) % MOD;
    v.clear();
  }

  ll ans = 0;
  for (int i = 1; i <= n; i++) ans = (ans + dp[i]) % MOD;

  printf("%lld\n", ans);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:52:29: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int split = 1; split < splits.size(); split++) {
                             ^
boat.cpp:35:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
                  ^
boat.cpp:38:35: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &va[i], &vb[i]);
                                   ^

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 248 KB Output is correct
2 Correct 7 ms 352 KB Output is correct
3 Correct 8 ms 468 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 8 ms 576 KB Output is correct
6 Correct 7 ms 692 KB Output is correct
7 Correct 8 ms 772 KB Output is correct
8 Correct 7 ms 912 KB Output is correct
9 Correct 7 ms 920 KB Output is correct
10 Correct 8 ms 920 KB Output is correct
11 Correct 7 ms 948 KB Output is correct
12 Correct 7 ms 948 KB Output is correct
13 Correct 7 ms 948 KB Output is correct
14 Correct 7 ms 948 KB Output is correct
15 Correct 7 ms 1016 KB Output is correct
16 Incorrect 3 ms 1016 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 248 KB Output is correct
2 Correct 7 ms 352 KB Output is correct
3 Correct 8 ms 468 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 8 ms 576 KB Output is correct
6 Correct 7 ms 692 KB Output is correct
7 Correct 8 ms 772 KB Output is correct
8 Correct 7 ms 912 KB Output is correct
9 Correct 7 ms 920 KB Output is correct
10 Correct 8 ms 920 KB Output is correct
11 Correct 7 ms 948 KB Output is correct
12 Correct 7 ms 948 KB Output is correct
13 Correct 7 ms 948 KB Output is correct
14 Correct 7 ms 948 KB Output is correct
15 Correct 7 ms 1016 KB Output is correct
16 Incorrect 3 ms 1016 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 1016 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 248 KB Output is correct
2 Correct 7 ms 352 KB Output is correct
3 Correct 8 ms 468 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 8 ms 576 KB Output is correct
6 Correct 7 ms 692 KB Output is correct
7 Correct 8 ms 772 KB Output is correct
8 Correct 7 ms 912 KB Output is correct
9 Correct 7 ms 920 KB Output is correct
10 Correct 8 ms 920 KB Output is correct
11 Correct 7 ms 948 KB Output is correct
12 Correct 7 ms 948 KB Output is correct
13 Correct 7 ms 948 KB Output is correct
14 Correct 7 ms 948 KB Output is correct
15 Correct 7 ms 1016 KB Output is correct
16 Incorrect 3 ms 1016 KB Output isn't correct
17 Halted 0 ms 0 KB -