Submission #84785

#	Time	Username	Problem	Language	Result	Execution time	Memory
84785		Mahdi_Jfri	Split the sequence (APIO14_sequence)	C++14	100 / 100	1700 ms	88956 KiB

sequence

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

#define ll long long
#define pb push_back

const int maxn = 1e5 + 20;
const int maxk = 2e2 + 20;

ll dp[maxn] , pd[maxn];

int par[maxn][maxk] , ind , sum[maxn];

inline ll get(int i , int j)
{
	if(i <= j)
		return 1e18;

	return 1LL * (sum[i] - sum[j]) * (sum[i] - sum[j]) + pd[j];
}

inline void solve(int l , int r , int L , int R)
{
	if(l > r)
		return;

	int m = (l + r) / 2 , pt = L;

	ll mn = 1e18;
	for(int i = L; i <= R && i < m; i++)
		if(mn >= get(m , i))
		{
			mn = get(m , i);
			pt = i;
		}

	par[m][ind] = pt;

	dp[m] = get(m , pt);
	solve(l , m - 1 , L , pt);
	solve(m + 1 , r , pt , R);
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	int n , k;
	cin >> n >> k;

	for(int i = 1; i <= n; i++)
		cin >> sum[i] , sum[i] += sum[i - 1];

	for(int i = 1; i <= n; i++)
		pd[i] = 1e18;

	for(int i = 1; i <= k + 1; i++)
	{
		ind = i;
		solve(0 , n , 0 , n);

		for(int i = 0; i <= n; i++)
			pd[i] = dp[i];
	}

	cout << (1LL * sum[n] * sum[n] - dp[n]) / 2 << endl;

	int A = n;
	vector<int> ans;
	for(int i = k + 1; i > 1; i--)
	{
		ans.pb(par[A][i]);
		A = par[A][i];
	}

	reverse(ans.begin() , ans.end());
	for(auto x : ans)
		cout << x << " ";
	cout << endl;
}

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