제출 #73537

#제출 시각아이디문제언어결과실행 시간메모리
73537VardanyanSplit the sequence (APIO14_sequence)C++17
39 / 100
191 ms4532 KiB
//#pragma GCC optimize "-O3"
#include <bits/stdc++.h>
using namespace std;
const long long N = 2000+7;
long long a[N];
long long pref[N];
//long long suf[N];
pair<long long,long long> check(long long l,long long r){
    long long ans = 0;
    long long pos = l;
    for(long long i = l;i<=r-1;i++){
        long long x = pref[i]-pref[l-1];
        long long y = pref[r]-pref[i];
        x*=y;
        if(x>ans){
            ans = x; pos = i;
        }
    }
    return make_pair(ans,pos);
}
pair<long long,long long> dp[N][N];
long long par[N][N];
int main()
{
    long long n,k;
    cin>>n>>k;
    for(long long i = 1;i<=n;i++) cin>>a[i];
    for(long long i = 1;i<=n;i++) pref[i] = pref[i-1]+a[i];
//    for(long long i = n;i>=1;i--) suf[i] = suf[i+1]+a[i];
    for(long long i = 1;i<=n;i++){
        dp[1][i] = check(1,i);
    }
    for(long long kk = 2;kk<=k;kk++){
        for(long long i = 1;i<=n;i++){
            for(long long j = 1;j<i;j++){
                if(dp[kk-1][j].first+(pref[i]-pref[j])*pref[j]>dp[kk][i].first){
                    dp[kk][i].first = dp[kk-1][j].first+(pref[i]-pref[j])*pref[j];
                    dp[kk][i].second = j;
                }
            }
        }
    }
    cout<<dp[k][n].first<<endl;
    long long kk = k;
    long long nn = n;
    while(dp[kk][nn].second!=0){
        cout<<dp[kk][nn].second<<" ";
        nn = dp[kk][nn].second;
        kk--;
    }
    cout<<endl;
    return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/
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