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Submission #258306

# Submission time Handle Problem Language Result Execution time Memory
258306 2020-08-05T16:50:46 Z rama_pang Swap (BOI16_swap) C++14
68 / 100
 659 ms 262148 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAXN = 200005;
const int INF = 1e9;

int N;
int A[MAXN];

map<int, int> dp[MAXN]; // dp[n][x] = minimum sequence in subtree of n if the root's value is x
map<int, int> track[MAXN]; // we only keep track of where min(cur, lc, rc)'s value end up in the dp

int Dp(int n, int x) {
  if (n > N) return INF;
  if (dp[n].count(x)) return dp[n][x];
  static vector<vector<int>> a_(MAXN, vector<int>(3));
  auto &a = a_[n];
  a[0] = x;
  a[1] = (n * 2 + 0 <= N ? A[n * 2 + 0] : INF);
  a[2] = (n * 2 + 1 <= N ? A[n * 2 + 1] : INF);
  if (a[0] < min(a[1], a[2])) {
    track[n][x] = 0;
    return dp[n][x] = n;
  } 
  if (a[1] < min(a[0], a[2])) {
    track[n][x] = 1;
    return dp[n][x] = Dp(n * 2, a[0]);
  }
  if (a[2] < min(a[0], a[1])) {
    int xl = Dp(n * 2 + 0, a[0]);
    int xr = Dp(n * 2 + 1, a[0]);
    int yl = Dp(n * 2 + 0, a[1]);
    int yr = Dp(n * 2 + 1, a[1]);
    if (min(xl, yr) < min(xr, yl)) {
      track[n][x] = 3;
      return dp[n][x] = xl;
    }
    if (min(xl, yr) > min(xr, yl)) {
      track[n][x] = 2;
      return dp[n][x] = xr;
    }
    if (a[0] < a[1]) {
      if (xl < xr) {
        track[n][x] = 3;
        return dp[n][x] = xl;
      } else {
        track[n][x] = 2;
        return dp[n][x] = xr;
      }
    } else {
      if (yr < yl) {
        track[n][x] = 3;
        return dp[n][x] = xl;
      } else {
        track[n][x] = 2;
        return dp[n][x] = xr;
      }
    }
  }
  return -1;
}

void Trace(int n, int x) {
  if (n > N) return;
  Dp(n, x);
  if (n * 2 + 0 <= N && track[n][x] & 1) swap(A[n], A[n * 2 + 0]);
  if (n * 2 + 1 <= N && track[n][x] & 2) swap(A[n], A[n * 2 + 1]);
  if (n * 2 + 0 <= N) Trace(n * 2 + 0, A[n * 2 + 0]);
  if (n * 2 + 1 <= N) Trace(n * 2 + 1, A[n * 2 + 1]);
}

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

  cin >> N;
  for (int i = 1; i <= N; i++) {
    cin >> A[i];
  }
  Trace(1, A[1]);
  for (int i = 1; i <= N; i++) {
    if (i > 1) {
      cout << " ";
    }
    cout << A[i];
  }
  cout << "\n";
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 30072 KB Output is correct
2 Correct 24 ms 30080 KB Output is correct
3 Correct 25 ms 30080 KB Output is correct
4 Correct 24 ms 30080 KB Output is correct
5 Correct 25 ms 30080 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 30072 KB Output is correct
2 Correct 24 ms 30080 KB Output is correct
3 Correct 25 ms 30080 KB Output is correct
4 Correct 24 ms 30080 KB Output is correct
5 Correct 25 ms 30080 KB Output is correct
6 Correct 25 ms 30080 KB Output is correct
7 Correct 24 ms 30072 KB Output is correct
8 Correct 23 ms 30080 KB Output is correct
9 Correct 28 ms 30072 KB Output is correct
10 Correct 23 ms 30080 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 30072 KB Output is correct
2 Correct 24 ms 30080 KB Output is correct
3 Correct 25 ms 30080 KB Output is correct
4 Correct 24 ms 30080 KB Output is correct
5 Correct 25 ms 30080 KB Output is correct
6 Correct 25 ms 30080 KB Output is correct
7 Correct 24 ms 30072 KB Output is correct
8 Correct 23 ms 30080 KB Output is correct
9 Correct 28 ms 30072 KB Output is correct
10 Correct 23 ms 30080 KB Output is correct
11 Correct 25 ms 30244 KB Output is correct
12 Correct 25 ms 30336 KB Output is correct
13 Correct 26 ms 30328 KB Output is correct
14 Correct 28 ms 30848 KB Output is correct
15 Correct 31 ms 30840 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 30072 KB Output is correct
2 Correct 24 ms 30080 KB Output is correct
3 Correct 25 ms 30080 KB Output is correct
4 Correct 24 ms 30080 KB Output is correct
5 Correct 25 ms 30080 KB Output is correct
6 Correct 25 ms 30080 KB Output is correct
7 Correct 24 ms 30072 KB Output is correct
8 Correct 23 ms 30080 KB Output is correct
9 Correct 28 ms 30072 KB Output is correct
10 Correct 23 ms 30080 KB Output is correct
11 Correct 25 ms 30244 KB Output is correct
12 Correct 25 ms 30336 KB Output is correct
13 Correct 26 ms 30328 KB Output is correct
14 Correct 28 ms 30848 KB Output is correct
15 Correct 31 ms 30840 KB Output is correct
16 Correct 78 ms 41488 KB Output is correct
17 Correct 71 ms 41592 KB Output is correct
18 Correct 72 ms 41720 KB Output is correct
19 Correct 319 ms 97656 KB Output is correct
20 Correct 331 ms 97144 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 30072 KB Output is correct
2 Correct 24 ms 30080 KB Output is correct
3 Correct 25 ms 30080 KB Output is correct
4 Correct 24 ms 30080 KB Output is correct
5 Correct 25 ms 30080 KB Output is correct
6 Correct 25 ms 30080 KB Output is correct
7 Correct 24 ms 30072 KB Output is correct
8 Correct 23 ms 30080 KB Output is correct
9 Correct 28 ms 30072 KB Output is correct
10 Correct 23 ms 30080 KB Output is correct
11 Correct 25 ms 30244 KB Output is correct
12 Correct 25 ms 30336 KB Output is correct
13 Correct 26 ms 30328 KB Output is correct
14 Correct 28 ms 30848 KB Output is correct
15 Correct 31 ms 30840 KB Output is correct
16 Correct 78 ms 41488 KB Output is correct
17 Correct 71 ms 41592 KB Output is correct
18 Correct 72 ms 41720 KB Output is correct
19 Correct 319 ms 97656 KB Output is correct
20 Correct 331 ms 97144 KB Output is correct
21 Correct 225 ms 76920 KB Output is correct
22 Correct 224 ms 76924 KB Output is correct
23 Correct 242 ms 77048 KB Output is correct
24 Runtime error 659 ms 262148 KB Execution killed with signal 9 (could be triggered by violating memory limits)
25 Halted 0 ms 0 KB -