Submission #668947

#TimeUsernameProblemLanguageResultExecution timeMemory
668947Dan4LifeSplit the sequence (APIO14_sequence)C++17
0 / 100
80 ms131072 KiB
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define int long long
#define all(a) a.begin(),a.end()
#define mp make_pair
#define fi first
#define se second

const int maxn = (int)1e3+10;
int n, K, a[maxn], pre[maxn];
vector<vector<int>> dp[maxn];
vector<int> p[maxn], v;
int sum(int i, int j) {return pre[j+1]-pre[i];}

int recur(int l, int r, int k){
    if(r-l+1<=k or l>r or !k) return 0;
    if(dp[l][r-l][k]!=-1) return dp[l][r-l][k];
    int ans = 0;
    for(int x = l; x < r; x++){
        if(r-(x+1)+1 <=k-1) break;
        int tot = recur(x+1,r,k-1)+sum(l,x)*sum(x+1,r);
        if(ans < tot) ans=tot, p[l][r-l]=x;
    }
    return dp[l][r-l][k]=ans;
}

void recur2(int l, int r, int k){
    if(r-l+1<=k or !k) return;
    v.pb(p[l][r-l]); recur2(p[l][r-l]+1,r,k-1);
}

int32_t main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> n >> K;
    for(int i = 0; i < n; i++) 
        dp[i].resize(n-i+5,vector<int>(K+5,-1)), p[i].resize(n-i+5,0);
    for(int i = 0; i < n; i++) cin >> a[i], pre[i+1]=pre[i]+a[i];
    cout << recur(0,n-1,K) << "\n"; recur2(0,n-1,K);
    sort(all(v)); for(auto u : v) cout << u+1 << " ";
}
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