Submission #934160

#	Time	Username	Problem	Language	Result	Execution time	Memory
934160		Joshua_Andersson	Inside information (BOI21_servers)	C++14	0 / 100	52 ms	72892 KiB

servers

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

typedef long long ll;
#define int ll
const int inf = int(1e18);

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> p2;

#define rep(i, high) for (int i = 0; i < high; i++)
#define repp(i, low, high) for (int i = low; i < high; i++)
#define repe(i, container) for (auto& i : container)
#define sz(container) ((int)container.size())
#define all(x) begin(x),end(x)
#define ceildiv(x,y) ((x + y - 1) / (y))

inline void fast() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); }

#define _LOCAL _DEBUG
#if _LOCAL
#define assert(x) if (!(x)) __debugbreak()
#endif

const int maxn = int(1.5e5);
int tin[maxn];
int tout[maxn];
int timer = 0;
int up[18][maxn];
int upincreasing[18][maxn];
//int updown[18][maxn];
int upmax[18][maxn];
int upv[maxn];

void dfs(int u, int p, int p1, int _p2, vector<vector<p2>>& edges)
{
	tin[u] = timer++;
	up[0][u] = p;
	upmax[0][u] = upv[u];
	upincreasing[0][u] = upmax[0][u] < upmax[0][p];
	repp(d,1,18)
	{
		int mid = up[d - 1][u];
		up[d][u] = up[d - 1][mid];
		upmax[d][u] = max(upmax[d - 1][u], upmax[d - 1][mid]);
		upincreasing[d][u] = upincreasing[d - 1][u] && (upmax[0][mid] < upmax[0][up[0][mid]]);
	}
	

	repe(e, edges[u]) if (e.first != p)
	{
		upv[e.first] = e.second;
		dfs(e.first, u, p1, _p2, edges);
	}

	tout[u] = timer++;
}

bool isancestor(int a, int b)
{
	return tin[a] <= tin[b] && tout[a] >= tout[b];
}

int pathmax(int a, int b)
{
	if (isancestor(a, b)) return -1;
	int ret = -1;
	for (int d = 17; d >= 0; d--)
	{
		if (!isancestor(up[d][a], b))
		{
			ret = max(ret, upmax[d][a]);
			a = up[d][a];
		}
	}
	return max(ret, upmax[0][a]);
}

signed main()
{
	fast();

	int n, q;
	cin >> n >> q;

	vvi queries;
	int t = 0;
	vector<vector<p2>> edges(n);
	rep(i, n + q - 1)
	{
		char c;
		cin >> c;
		if (c=='S')
		{
			int a, b;
			cin >> a >> b;
			a--; b--;
			edges[a].emplace_back(b, t);
			edges[b].emplace_back(a, t);
			t++;
		}
		else if (c=='Q')
		{
			int a, b;
			cin >> a >> b;
			a--; b--;
			queries.push_back({ 0, b, a, t-1 });
		}
		else
		{
			int c;
			cin >> c;
			c--;
			queries.push_back({ 1, c, -1, t-1 });
		}
	}
	dfs(0, 0, -1, -1, edges);

	auto getmax = [&](int a, int b)
	{
		return max(pathmax(a, b), pathmax(b, a));
	};

	auto pathgood = [&](int a, int b, int t)
	{
		if (getmax(a, b) > t) return false;
		// all edges <= t
		// from b->lca increasing
		// from a->lca decreasing
		bool good = 1;
		int u = b;
		int prev = inf;
		while (!isancestor(u, a))
		{
			good &= upv[u] < prev;
			prev = upv[u];
			u = up[0][u];
		}
		
		u = a;
		bool inc = 1;
		for (int d = 17; d >= 0; d--)
		{
			if (!isancestor(up[d][u],b))
			{
				inc &= upincreasing[d][u];
				u = up[d][u];
			}
		}
		if (!isancestor(u, b))
		{
			good &= upincreasing[0][u];
			good &= (upmax[0][u] < prev);
		}

		return good;
	};

	repe(q, queries)
	{
		int type=q[0], a=q[1], b=q[2], t=q[3];
		
		if (type==0)
		{
			cout << (pathgood(a, b, t) ? "yes" : "no") << "\n";
		}
		
	}

	return 0;
}

• Subtask 1: 0 / 2.5
• Subtask 2: 0 / 2.5
• Subtask 3: 0 / 2.5
• Subtask 4: 0 / 2.5
• Subtask 5: 0 / 5
• Subtask 6: 0 / 5
• Subtask 7: 0 / 10
• Subtask 8: 0 / 10
• Subtask 9: 0 / 12.5
• Subtask 10: 0 / 12.5
• Subtask 11: 0 / 17.5
• Subtask 12: 0 / 17.5