Submission #319933

#	Time	Username	Problem	Language	Result	Execution time	Memory
319933		tushar_2658	Split the sequence (APIO14_sequence)	C++14	71 / 100	2052 ms	83300 KiB

sequence

#include "bits/stdc++.h"
using namespace std;
 
const int maxn = 100005;
using ll = long long;
 
ll dp[maxn][2];
int n, k;
ll a[maxn], pref[maxn];
int best[maxn][202];
int cur, cnt;
 
void compute(int l, int r, int optl, int optr){
  if(l > r)return;
  int mid = (l + r) >> 1;
  int opt = optl;
  for(int i = optl; i <= min(mid - 1, optr); ++i){
    ll cost = dp[i][cur ^ 1] + pref[i] * (pref[mid] - pref[i]);
    if(dp[mid][cur] < cost){
      dp[mid][cur] = cost;
      opt = i;
    }
  }
  best[mid][cnt] = opt;
  compute(l, mid - 1, optl, opt);
  compute(mid + 1, r, opt, optr);
}
 
int main(int argc, char const *argv[])
{
  ios::sync_with_stdio(false);
  cin.tie(0);

  cin >> n >> k;
  for(int i = 1; i <= n; ++i){
    cin >> a[i];
  }
  for(int i = 1; i <= n; ++i){
    pref[i] = pref[i - 1] + a[i];
  }
  for(int i = 1; i <= k; ++i){
    cur = i & 1;
    cnt = i;
    for(int i = 0; i <= n; ++i){
      dp[i][cur] = -1;
    }
    compute(1, n, 1, n);
  }
  cout << dp[n][k & 1] << '\n';
  cur = n;
  int cur_k = k;
  while(cur_k > 0){
    cout << best[cur][cur_k] << ' ';
    cur = best[cur][cur_k];
    --cur_k;
  }
 
  return 0;
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 0 / 29