Submission #243405

#	Time	Username	Problem	Language	Result	Execution time	Memory
243405		neihcr7j	Split the sequence (APIO14_sequence)	C++14	100 / 100	931 ms	81272 KiB

sequence

#include<bits/stdc++.h>

#define maxn 100005

using namespace std;
typedef long long ll;

int n, k;
ll a[maxn];

ll dp[2][maxn];
int tr[202][maxn];

void divide(int k, int l, int r, int st, int en) {
  if (l > r) return;

  int mid = (l + r) / 2;

  int ret = -1;

  for (int i = st; i <= en && i < mid; ++i)
    if (i < mid && dp[1][mid] <= dp[0][i] + (a[mid] - a[i]) * a[i]) {
      dp[1][mid] = dp[0][i] + (a[mid] - a[i]) * a[i];
      tr[k][mid] = ret = i;
    }

  if (ret == -1)
    return;

  divide(k, l, mid - 1, st, ret);
  divide(k, mid + 1, r, ret, en);
}

void trace(int k, int n) {
  if (k == 0) return;
  trace(k - 1, tr[k][n]);
  cout << tr[k][n] << ' ';
}

int main(){
  #define TASK "ABC"
 // freopen(TASK".inp", "r", stdin); freopen(TASK".out", "w", stdout);
  ios_base::sync_with_stdio(0);

  cin >> n >> k;


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

  for (int i = 1; i <= k; ++i) {
    for (int j = 1; j <= n; ++j) {
      dp[0][j] = dp[1][j];
      dp[1][j] = 0;
    }
    divide(i, i + 1, n, 1, n);
  }

  cout << dp[1][n] << '\n';

  trace(k, n);

  return 0;
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 29 / 29