Submission #255367

#TimeUsernameProblemLanguageResultExecution timeMemory
255367tutisIslands (IOI08_islands)C++17
100 / 100
518 ms106008 KiB
/*input
7
3 8
7 2
4 2
1 4
1 9
3 4
2 3
*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
ll ans(vector<pair<ll, ll>> &A)
{
	ll n = A.size() / 2;
	ll mx = 0;
	ll S[2 * n];
	S[0] = 0;
	for (int i = 1; i < 2 * n; i++)
		S[i] = S[i - 1] + A[i - 1].second;
	deque<int>Q;
	for (int j = 0; j < 2 * n; j++)
	{
		while (!Q.empty() && Q.front() <= j - n)
			Q.pop_front();
		if (!Q.empty())
		{
			int i = Q[0];
			mx = max(mx, S[j] + A[j].first + (A[i].first - S[i]));
		}
		while (!Q.empty() && A[Q.back()].first - S[Q.back()] < A[j].first - S[j])
			Q.pop_back();
		Q.push_back(j);
	}
	return mx;
}
int main()
{
	ios_base::sync_with_stdio(false);
	ll N;
	cin >> N;
	ll pa[N + 1];
	ll L[N + 1];
	ll K[N + 1];
	fill_n(K, N + 1, 0ll);
	ll H[N + 1];
	fill_n(H, N + 1, 0ll);
	ll MX[N + 1];
	fill_n(MX, N + 1, 0ll);
	for (ll i = 1; i <= N; i++)
	{
		cin >> pa[i] >> L[i];
		K[pa[i]]++;
	}
	for (ll i = 1; i <= N; i++)
	{
		if (pa[i] != 0)
		{
			ll j = i;
			while (K[j] == 0)
			{
				ll k = pa[j];
				MX[k] = max({MX[j], MX[k], H[k] + H[j] + L[j]});
				H[k] = max(H[k], H[j] + L[j]);
				K[k]--;
				pa[j] = 0;
				j = k;
			}
		}
	}
	ll ret = 0;
	for (ll i = 1; i <= N; i++)
	{
		if (pa[i] != 0)
		{
			ll gal = 0;
			vector<pair<ll, ll>>A;
			ll j = i;
			while (pa[j] != 0)
			{
				gal = max(gal, MX[j]);
				A.push_back({H[j], L[j]});
				ll k = pa[j];
				pa[j] = 0;
				j = k;
			}
			ll s = A.size();
			for (ll j = 0; j < s; j++)
				A.push_back(A[j]);
			ret += max(gal, ans(A));
		}
	}
	cout << ret << "\n";
}
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