Submission #1059488

#	Time	Username	Problem	Language	Result	Execution time	Memory
1059488		daoquanglinh2007	Split the sequence (APIO14_sequence)	C++17	71 / 100	267 ms	131072 KiB

sequence

#include <bits/stdc++.h>
using namespace std;

#define ll long long

const int NM = 1e5, KM = 200;

int n, k, a[NM+5], pref[NM+5];
ll dp[KM+5][NM+5];
int trace[KM+5][NM+5];
vector <int> arr;

void dnc(int t, int l, int r, int optl, int optr){
	if (l > r) return;
	int mid = (l+r)/2, opt = optl;
	dp[t][mid] = dp[t-1][opt]+1LL*pref[opt]*(pref[mid]-pref[opt]);
	for (int i = opt+1; i <= min(optr, mid-1); i++){
		ll tmp = dp[t-1][i]+1LL*pref[i]*(pref[mid]-pref[i]);
		if (tmp > dp[t][mid]){
			dp[t][mid] = tmp;
			opt = i;
		}
	}
	trace[t][mid] = opt;
	dnc(t, l, mid-1, optl, opt);
	dnc(t, mid+1, r, opt, optr);
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> n >> k;
	for (int i = 1; i <= n; i++){
		cin >> a[i];
		pref[i] = pref[i-1]+a[i];
	}
	for (int i = 2; i <= k+1; i++){
		dnc(i, i, n, i-1, n-1);
	}
	cout << dp[k+1][n] << '\n';
	int j = n;
	for (int i = k+1; i > 1; i--){
		arr.push_back(trace[i][j]);
		j = trace[i][j];
	}
	reverse(arr.begin(), arr.end());
	for (int x : arr) cout << x << ' ';
	return 0;
}

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