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Submission #699027

# Submission time Handle Problem Language Result Execution time Memory
699027 2023-02-15T10:52:57 Z dattranxxx Fibonacci representations (CEOI18_fib) C++11
50 / 100
 4000 ms 2516 KB 
#include<bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5;
int a[N];
int n;

multiset<int> s;
void fix(int x) {
  int c = s.count(x);
  if (c == 1) {
    if (s.count(x - 1)) {
      s.erase(x - 1);
      s.erase(x);
      s.insert(x + 1);
      fix(x + 1);
      return;
    }

    if (s.count(x + 1)) {
      s.erase(x + 1);
      s.erase(x);
      s.insert(x + 2);
      fix(x + 2);
    }

    return;

  }
  // c == 2
  if (x == 1) {
    s.erase(x);
    s.insert(x + 1);
    fix(x + 1);
    return;
  }

  if (s.count(x + 1)) {
    s.erase(s.find(x));
    s.erase(x + 1);
    s.insert(x + 2);
    fix(x + 2);
    return;
  }

  if (s.count(x - 1)) {
    s.erase(s.find(x));
    s.erase(x - 1);
    s.insert(x + 1);
    fix(x + 1);
    return;
  }

  if (x == 2) {
    s.erase(x);
    s.insert(x - 1);
    s.insert(x + 1);
    fix(x - 1);
    fix(x + 1);
  } else {
    s.erase(x);
    s.insert(x - 2);
    s.insert(x + 1);
    fix(x - 2);
    fix(x + 1);
  }

}
const int M = 1e9 + 7;

int b[N];
long long dp[N][2];

int main() {
  cin.tie(0)->sync_with_stdio(0);
  // freopen("in", "r", stdin);

  cin >> n;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i];
  }

  for (int i = 1; i <= n; ++i) {
    s.insert(a[i]);
    fix(a[i]);

    int m = 0;
    for (int x : s) b[++m] = x;


//    for (int i = 1; i <= m; ++i) {
//      cerr << b[i] << " \n"[i == m];
//    }


    dp[1][0] = 1;
    dp[1][1] = (b[1] - 1) / 2;
    for (int i = 2; i <= m; ++i) {
      int len = b[i] - b[i - 1];
      if (len & 1) {
        dp[i][0] = (dp[i - 1][0] + dp[i - 1][1]) % M;
        dp[i][1] = (dp[i - 1][0] + dp[i - 1][1]) * (len / 2) % M;
      } else {
        dp[i][0] = (dp[i - 1][0] + dp[i - 1][1]) % M;
        dp[i][1] = (dp[i - 1][0] * (len / 2 - 1) % M) +
              (dp[i - 1][1] * (len / 2) % M) % M;
      }
    }
    cout << (dp[m][0] + dp[m][1]) % M << '\n';

  }

  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct

Subtask #5
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Execution timed out 4042 ms 2516 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Execution timed out 4042 ms 2516 KB Time limit exceeded
26 Halted 0 ms 0 KB -