Submission #172179

#	Time	Username	Problem	Language	Result	Execution time	Memory
172179		RafaelSus	Split the sequence (APIO14_sequence)	C++14	11 / 100	167 ms	18192 KiB

sequence

#include <bits/stdc++.h>
 
using namespace std;
const int N = 2e5 + 5;
typedef long long ll;
const ll inf=1e15;
#define pb push_back
const int INF=(0x3f3f3f3f);

const int maxn=1e2;
ll dp[maxn][maxn][maxn];
pair<int,int> rec[maxn][maxn][maxn];
int a[maxn];
ll pref[maxn];
int n,k;

ll solve(int left,int right,int key){
  if(left==right)return 0ll;
  
  if(dp[left][right][key]!=-1)return dp[left][right][key];
  
  ll sumTotal=pref[right]-pref[left]+a[left];
  ll sumLeft=0ll,sumRight=0ll;
  ll res=0;
  int splitPoint=-1;
  int splitKey=-1;
  for(int i=left;i<right;i++){
    sumLeft+=a[i];
    sumRight=sumTotal-sumLeft;
    for(int j=0;j<key;j++){
      int k2=key-j-1;
      ll splitCost=sumLeft*sumRight;
      ll l=solve(left,i,j);
      ll r=solve(i+1,right,k2);
      ll curRes=l+r+splitCost;
      if(res<curRes){
        res=curRes;
        splitPoint=i;
        splitKey=j;
      }
      //res=max(res,curRes);
    }
  }
  rec[left][right][key]=make_pair(splitPoint,splitKey);
  return dp[left][right][key]=res;
}

vector<int>ans;

void getAnsw(int l,int r,int key){
  if(l==r||key<=0)return;
  ans.pb(rec[l][r][key].first);
  //cerr<<l<<' '<<r<<' '<<key<<' '<<rec[l][r][key].first<<' '<<key<<'\n';
  getAnsw(l,rec[l][r][key].first,rec[l][r][key].second);
  getAnsw(rec[l][r][key].first+1,r,key-rec[l][r][key].second-1);
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);cout.tie(0);
 
  cin>>n>>k;
  for(int i=1;i<=n;i++){
    cin>>a[i];
    if(i>1)pref[i]=pref[i-1]+a[i];
    else pref[i]=a[i];
  }
  memset(dp,-1,sizeof dp);
  ll answ=solve(1,n,k);
  getAnsw(1,n,k);
  cout<<answ<<'\n';
  for(auto x:ans)
    cout<<x<<' ';
  cout<<'\n';
}

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