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Submission #258302

# Submission time Handle Problem Language Result Execution time Memory
258302 2020-08-05T16:46:39 Z rama_pang Swap (BOI16_swap) C++14
68 / 100
 839 ms 262144 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];
  vector<int> a(3);
  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])) {
    Dp(n * 2 + 0, a[1]);
    Dp(n * 2 + 1, a[2]);
    track[n][x] = 0;
    return dp[n][x] = n;
  } 
  if (a[1] < min(a[0], a[2])) {
    Dp(n * 2 + 1, 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 (a[1] < a[0]) {
      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 11 ms 19072 KB Output is correct
2 Correct 11 ms 19072 KB Output is correct
3 Correct 11 ms 19072 KB Output is correct
4 Correct 11 ms 19072 KB Output is correct
5 Correct 11 ms 19072 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19072 KB Output is correct
2 Correct 11 ms 19072 KB Output is correct
3 Correct 11 ms 19072 KB Output is correct
4 Correct 11 ms 19072 KB Output is correct
5 Correct 11 ms 19072 KB Output is correct
6 Correct 11 ms 19072 KB Output is correct
7 Correct 11 ms 19072 KB Output is correct
8 Correct 11 ms 19072 KB Output is correct
9 Correct 14 ms 19144 KB Output is correct
10 Correct 12 ms 19072 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19072 KB Output is correct
2 Correct 11 ms 19072 KB Output is correct
3 Correct 11 ms 19072 KB Output is correct
4 Correct 11 ms 19072 KB Output is correct
5 Correct 11 ms 19072 KB Output is correct
6 Correct 11 ms 19072 KB Output is correct
7 Correct 11 ms 19072 KB Output is correct
8 Correct 11 ms 19072 KB Output is correct
9 Correct 14 ms 19144 KB Output is correct
10 Correct 12 ms 19072 KB Output is correct
11 Correct 12 ms 19328 KB Output is correct
12 Correct 12 ms 19328 KB Output is correct
13 Correct 12 ms 19328 KB Output is correct
14 Correct 14 ms 19840 KB Output is correct
15 Correct 14 ms 19840 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19072 KB Output is correct
2 Correct 11 ms 19072 KB Output is correct
3 Correct 11 ms 19072 KB Output is correct
4 Correct 11 ms 19072 KB Output is correct
5 Correct 11 ms 19072 KB Output is correct
6 Correct 11 ms 19072 KB Output is correct
7 Correct 11 ms 19072 KB Output is correct
8 Correct 11 ms 19072 KB Output is correct
9 Correct 14 ms 19144 KB Output is correct
10 Correct 12 ms 19072 KB Output is correct
11 Correct 12 ms 19328 KB Output is correct
12 Correct 12 ms 19328 KB Output is correct
13 Correct 12 ms 19328 KB Output is correct
14 Correct 14 ms 19840 KB Output is correct
15 Correct 14 ms 19840 KB Output is correct
16 Correct 66 ms 30712 KB Output is correct
17 Correct 66 ms 30840 KB Output is correct
18 Correct 67 ms 30972 KB Output is correct
19 Correct 353 ms 86520 KB Output is correct
20 Correct 336 ms 86020 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19072 KB Output is correct
2 Correct 11 ms 19072 KB Output is correct
3 Correct 11 ms 19072 KB Output is correct
4 Correct 11 ms 19072 KB Output is correct
5 Correct 11 ms 19072 KB Output is correct
6 Correct 11 ms 19072 KB Output is correct
7 Correct 11 ms 19072 KB Output is correct
8 Correct 11 ms 19072 KB Output is correct
9 Correct 14 ms 19144 KB Output is correct
10 Correct 12 ms 19072 KB Output is correct
11 Correct 12 ms 19328 KB Output is correct
12 Correct 12 ms 19328 KB Output is correct
13 Correct 12 ms 19328 KB Output is correct
14 Correct 14 ms 19840 KB Output is correct
15 Correct 14 ms 19840 KB Output is correct
16 Correct 66 ms 30712 KB Output is correct
17 Correct 66 ms 30840 KB Output is correct
18 Correct 67 ms 30972 KB Output is correct
19 Correct 353 ms 86520 KB Output is correct
20 Correct 336 ms 86020 KB Output is correct
21 Correct 241 ms 66680 KB Output is correct
22 Correct 239 ms 68040 KB Output is correct
23 Correct 246 ms 68088 KB Output is correct
24 Runtime error 839 ms 262144 KB Execution killed with signal 9 (could be triggered by violating memory limits)
25 Halted 0 ms 0 KB -