Submission #1001365

#TimeUsernameProblemLanguageResultExecution timeMemory
1001365aaaaaarrozSplit the sequence (APIO14_sequence)C++17
0 / 100
2058 ms12124 KiB
#include <bits/stdc++.h>
using namespace std;

int main() {
    int n, K;
    cin >> n >> K;
    vector<int> arr(n);
    for(int &a : arr) cin >> a;
    vector<int> prefix(n+1, 0);
    for(int i = 0; i < n; i++) {
        prefix[i+1] = prefix[i] + arr[i];
    }
    vector<vector<int>> dp(n+1, vector<int>(K+1, 0));
    vector<vector<int>> prev(n+1, vector<int>(K+1, -1));
    for(int k = 1; k <= K; k++) {
        for(int i = k; i <= n; i++) {
            for(int p = 0; p < i; p++) {
                if((dp[p][k-1] + (prefix[i] - prefix[p]) * prefix[p])>dp[i][k]){
                    prev[i][k]=p;
                    dp[i][k] = dp[p][k-1] + (prefix[i] - prefix[p]) * prefix[p];
                }
            }
        }
    }
    vector<int>splits;
    cout<<dp[n][K]<<"\n";
    int parent=prev[n][K];
    int k=K;
    splits.push_back(parent);
    while(prev[parent][k]!=-1){
        k--;
        parent=prev[parent][k];
        splits.push_back(parent);
    }
    reverse(splits.begin(),splits.end());
    for(int &res:splits){
        cout<<res<<" ";
    }
    return 0;
}
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