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Submission #599620

# Submission time Handle Problem Language Result Execution time Memory
599620 2022-07-19T17:04:07 Z cadmiumsky Boat (APIO16_boat) C++14
100 / 100
 688 ms 444 KB 
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()

using namespace std;
using ll = long long;
const int nmax = 5e2 + 5, mod = 1e9 + 7;

ll inv[nmax];
int active[nmax], dp[nmax], tmpdp[nmax];

int main() {
  inv[1] = 1;
  for(int i = 2; i < nmax; i++) {
    inv[i] = inv[mod % i] * (mod - mod / i) % mod;
  }
  
  vector<pair<int,int>> events;
  vector<int> pos;
  int n;
  cin >> n;
  for(int l, r, i = 1; i <= n; i++) {
    cin >> l >> r;
    events.emplace_back(l, i);
    events.emplace_back(r + 1, -i);
    pos.push_back(l);
    pos.push_back(r + 1);
  }
  sort(all(events));
  sort(all(pos));
  pos.resize(unique(all(pos)) - pos.begin());
  dp[0] = 1;
  
  int ptr = 0, last = 0;
  for(auto poz : pos) {
    int dt = poz - last;
    for(int i = 0; i <= n; i++)
      tmpdp[i] = 0;
    for(int i = 0; i <= n; i++) {
      ll accum = 1, high = dt - 1, cnt = 0;
       for(int j = i + 1; j <= n; j++) {
         if(active[j]) {
           high++;
           cnt++;
           accum = accum * high % mod * inv[cnt] % mod;
           tmpdp[j] = ((ll)tmpdp[j] + (ll)dp[i] * accum) % mod; 
         }
       }
    }
    for(int i = 0; i <= n; i++)
      dp[i] = (dp[i] + tmpdp[i]) % mod;
    while(ptr < events.size() && events[ptr].first <= poz) {
      int x = events[ptr].second;
      active[abs(x)] += (x / abs(x));
      ptr++;
    }
    //cerr << last << ' ' << poz << '\n';
    //for(int i = 1; i <= n; i++)
      //cerr << dp[i] << ' ';
    //cerr << '\n';
    //cerr << '\n';
    last = poz;
  }
  int sum = 0;
  for(int i = 1; i <= n; i++)
    sum = (sum + dp[i]) % mod;
  cout << sum << '\n';
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:51:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |     while(ptr < events.size() && events[ptr].first <= poz) {
      |           ~~~~^~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 212 KB Output is correct
2 Correct 94 ms 320 KB Output is correct
3 Correct 93 ms 312 KB Output is correct
4 Correct 100 ms 212 KB Output is correct
5 Correct 94 ms 316 KB Output is correct
6 Correct 97 ms 316 KB Output is correct
7 Correct 99 ms 316 KB Output is correct
8 Correct 93 ms 320 KB Output is correct
9 Correct 95 ms 316 KB Output is correct
10 Correct 96 ms 332 KB Output is correct
11 Correct 95 ms 320 KB Output is correct
12 Correct 96 ms 320 KB Output is correct
13 Correct 94 ms 212 KB Output is correct
14 Correct 93 ms 316 KB Output is correct
15 Correct 93 ms 312 KB Output is correct
16 Correct 22 ms 212 KB Output is correct
17 Correct 24 ms 340 KB Output is correct
18 Correct 19 ms 212 KB Output is correct
19 Correct 21 ms 444 KB Output is correct
20 Correct 20 ms 336 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 212 KB Output is correct
2 Correct 94 ms 320 KB Output is correct
3 Correct 93 ms 312 KB Output is correct
4 Correct 100 ms 212 KB Output is correct
5 Correct 94 ms 316 KB Output is correct
6 Correct 97 ms 316 KB Output is correct
7 Correct 99 ms 316 KB Output is correct
8 Correct 93 ms 320 KB Output is correct
9 Correct 95 ms 316 KB Output is correct
10 Correct 96 ms 332 KB Output is correct
11 Correct 95 ms 320 KB Output is correct
12 Correct 96 ms 320 KB Output is correct
13 Correct 94 ms 212 KB Output is correct
14 Correct 93 ms 316 KB Output is correct
15 Correct 93 ms 312 KB Output is correct
16 Correct 22 ms 212 KB Output is correct
17 Correct 24 ms 340 KB Output is correct
18 Correct 19 ms 212 KB Output is correct
19 Correct 21 ms 444 KB Output is correct
20 Correct 20 ms 336 KB Output is correct
21 Correct 430 ms 308 KB Output is correct
22 Correct 425 ms 312 KB Output is correct
23 Correct 387 ms 316 KB Output is correct
24 Correct 417 ms 212 KB Output is correct
25 Correct 408 ms 312 KB Output is correct
26 Correct 601 ms 312 KB Output is correct
27 Correct 610 ms 332 KB Output is correct
28 Correct 599 ms 332 KB Output is correct
29 Correct 590 ms 320 KB Output is correct
30 Correct 101 ms 212 KB Output is correct
31 Correct 102 ms 316 KB Output is correct
32 Correct 97 ms 312 KB Output is correct
33 Correct 99 ms 212 KB Output is correct
34 Correct 97 ms 320 KB Output is correct
35 Correct 102 ms 316 KB Output is correct
36 Correct 100 ms 212 KB Output is correct
37 Correct 98 ms 316 KB Output is correct
38 Correct 98 ms 316 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 212 KB Output is correct
2 Correct 4 ms 212 KB Output is correct
3 Correct 4 ms 312 KB Output is correct
4 Correct 5 ms 212 KB Output is correct
5 Correct 4 ms 312 KB Output is correct
6 Correct 6 ms 324 KB Output is correct
7 Correct 7 ms 212 KB Output is correct
8 Correct 6 ms 212 KB Output is correct
9 Correct 7 ms 212 KB Output is correct
10 Correct 6 ms 212 KB Output is correct
11 Correct 4 ms 212 KB Output is correct
12 Correct 4 ms 308 KB Output is correct
13 Correct 4 ms 212 KB Output is correct
14 Correct 4 ms 212 KB Output is correct
15 Correct 4 ms 212 KB Output is correct
16 Correct 3 ms 312 KB Output is correct
17 Correct 3 ms 212 KB Output is correct
18 Correct 3 ms 212 KB Output is correct
19 Correct 3 ms 308 KB Output is correct
20 Correct 3 ms 212 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 212 KB Output is correct
2 Correct 94 ms 320 KB Output is correct
3 Correct 93 ms 312 KB Output is correct
4 Correct 100 ms 212 KB Output is correct
5 Correct 94 ms 316 KB Output is correct
6 Correct 97 ms 316 KB Output is correct
7 Correct 99 ms 316 KB Output is correct
8 Correct 93 ms 320 KB Output is correct
9 Correct 95 ms 316 KB Output is correct
10 Correct 96 ms 332 KB Output is correct
11 Correct 95 ms 320 KB Output is correct
12 Correct 96 ms 320 KB Output is correct
13 Correct 94 ms 212 KB Output is correct
14 Correct 93 ms 316 KB Output is correct
15 Correct 93 ms 312 KB Output is correct
16 Correct 22 ms 212 KB Output is correct
17 Correct 24 ms 340 KB Output is correct
18 Correct 19 ms 212 KB Output is correct
19 Correct 21 ms 444 KB Output is correct
20 Correct 20 ms 336 KB Output is correct
21 Correct 430 ms 308 KB Output is correct
22 Correct 425 ms 312 KB Output is correct
23 Correct 387 ms 316 KB Output is correct
24 Correct 417 ms 212 KB Output is correct
25 Correct 408 ms 312 KB Output is correct
26 Correct 601 ms 312 KB Output is correct
27 Correct 610 ms 332 KB Output is correct
28 Correct 599 ms 332 KB Output is correct
29 Correct 590 ms 320 KB Output is correct
30 Correct 101 ms 212 KB Output is correct
31 Correct 102 ms 316 KB Output is correct
32 Correct 97 ms 312 KB Output is correct
33 Correct 99 ms 212 KB Output is correct
34 Correct 97 ms 320 KB Output is correct
35 Correct 102 ms 316 KB Output is correct
36 Correct 100 ms 212 KB Output is correct
37 Correct 98 ms 316 KB Output is correct
38 Correct 98 ms 316 KB Output is correct
39 Correct 4 ms 212 KB Output is correct
40 Correct 4 ms 212 KB Output is correct
41 Correct 4 ms 312 KB Output is correct
42 Correct 5 ms 212 KB Output is correct
43 Correct 4 ms 312 KB Output is correct
44 Correct 6 ms 324 KB Output is correct
45 Correct 7 ms 212 KB Output is correct
46 Correct 6 ms 212 KB Output is correct
47 Correct 7 ms 212 KB Output is correct
48 Correct 6 ms 212 KB Output is correct
49 Correct 4 ms 212 KB Output is correct
50 Correct 4 ms 308 KB Output is correct
51 Correct 4 ms 212 KB Output is correct
52 Correct 4 ms 212 KB Output is correct
53 Correct 4 ms 212 KB Output is correct
54 Correct 3 ms 312 KB Output is correct
55 Correct 3 ms 212 KB Output is correct
56 Correct 3 ms 212 KB Output is correct
57 Correct 3 ms 308 KB Output is correct
58 Correct 3 ms 212 KB Output is correct
59 Correct 468 ms 316 KB Output is correct
60 Correct 439 ms 316 KB Output is correct
61 Correct 423 ms 332 KB Output is correct
62 Correct 459 ms 328 KB Output is correct
63 Correct 452 ms 212 KB Output is correct
64 Correct 686 ms 212 KB Output is correct
65 Correct 688 ms 316 KB Output is correct
66 Correct 684 ms 316 KB Output is correct
67 Correct 679 ms 212 KB Output is correct
68 Correct 684 ms 316 KB Output is correct
69 Correct 401 ms 316 KB Output is correct
70 Correct 394 ms 316 KB Output is correct
71 Correct 406 ms 324 KB Output is correct
72 Correct 401 ms 212 KB Output is correct
73 Correct 427 ms 320 KB Output is correct
74 Correct 94 ms 320 KB Output is correct
75 Correct 87 ms 312 KB Output is correct
76 Correct 90 ms 328 KB Output is correct
77 Correct 92 ms 312 KB Output is correct
78 Correct 91 ms 212 KB Output is correct