Submission #855594

#TimeUsernameProblemLanguageResultExecution timeMemory
855594vjudge1Split the sequence (APIO14_sequence)C++17
39 / 100
2067 ms32092 KiB
#include <bits/stdc++.h>
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define int long long
#define pb push_back
#define F first
#define S second
#define all(v) v.begin(),v.end()
#define pii pair<int,int>
#define tm (tl+tr)/2
#define TL v+v, tl, tm
#define TR v+v+1, tm+1, tr
#define DA l <= tl && tr <= r
#define NET r < tl || tr < l
#define double long double
using namespace std;
const int N=1e5+7;
const int mod=1e9+7;
const int inf=1e18;
void AlemAmenov(){
  
  int n, k;
  cin >> n >> k;
  int a[n+1];
  int pref[n+1]={};
  for(int i=1; i <= n; i++){
    cin >> a[i];
    pref[i] = pref[i-1] + a[i];
  }
  int suf[n+2]={};
  for(int i=n; i >= 1; i--){
    suf[i] = suf[i+1] + a[i];
  }
  int dp[n+1][k+1] = {};
  int p[n+1][k+1] = {};
  for(int i=1; i < n; i++){
    dp[i][1] = pref[i] * suf[i+1];
  }
  int mx=0;
  for(int kk=2; kk <= k; kk++){
    for(int i=kk; i <= n; i++){
      for(int j=1; j < i; j++){
        if ( dp[i][kk] <= dp[j][kk-1] + (pref[i]-pref[j])*(suf[i+1]) ){
          dp[i][kk] = dp[j][kk-1] + (pref[i]-pref[j])*(suf[i+1]);
          p[i][kk] = j;
        }
        if ( dp[mx][k] < dp[i][k] )mx = i;
      }
    }
  }
  cout << dp[mx][k] << '\n';
  while(k){
    cout << mx << ' ';
    mx = p[mx][k--];
  }
  
}
signed main(){

  ios_base::sync_with_stdio(0);
  cin.tie(0);

//  freopen("262144.in", "r", stdin);
//  freopen("262144.out", "w", stdout);
  int RealName=1;
//  cin >> RealName;
  while(RealName--){
    //cout << "Case " << ++C << ":\n";
    AlemAmenov();
  }

return 0;
}
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