Submission #547801

# Submission time Handle Problem Language Result Execution time Memory
547801 2022-04-11T19:16:14 Z blue Collapse (JOI18_collapse) C++17
0 / 100
15000 ms 5744 KB
#include "collapse.h"
#include <vector>
#include <algorithm>
#include <set>
#include <queue>
#include <iostream>
using namespace std;

using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
#define sz(x) int(x.size())

const int bs = 2;





struct dss
{
	int Z;
	vi parent;
	vi subtree;

	dss()
	{
		;
	}

	dss(int Z_)
	{
		Z = Z_;
		parent = subtree = vi(Z);
		for(int i = 0; i < Z; i++)
		{
			parent[i] = i;
			subtree[i] = 1;
		}
	}

	int root(int u)
	{
		if(parent[u] == u) return u;
		else return (parent[u] = root(parent[u]));
	}

	bool join(int u, int v)
	{
		u = root(u);
		v = root(v);
		if(u == v) return 0;
		if(subtree[u] < subtree[v]) swap(u, v);
		parent[v] = u;
		subtree[u] += subtree[v];
		return 1;
	}

	bool connected(int u, int v)
	{
		return root(u) == root(v);
	}
};






vi simulateCollapse(int N, vi T, vi X, vi Y, vi W, vi P)
{	
	int C = sz(X);
	int Q = sz(W);

	for(int i = 0; i < C; i++)
	{
		if(X[i] > Y[i])
			swap(X[i], Y[i]);
	}

	vi queries[N];
	for(int q = 0; q < Q; q++)
		queries[P[q]].push_back(q);

	vi res(Q);




	for(int bl = 0; bl*bs < C; bl++)
	{
		int l = bl*bs, r = min((bl+1)*bs - 1, C-1);

		// cerr << "l r = " << l << ' ' << r << '\n';

		set<pii> critical;
		for(int i = l; i <= r; i++)
		{
			critical.insert({X[i], Y[i]});
		}

		set<pii> edgeset;

		for(int i = 0; i < l; i++)
		{
			if(critical.find({X[i], Y[i]}) != critical.end())
				continue;

			if(T[i] == 0)
				edgeset.insert({X[i], Y[i]});
			else
				edgeset.erase({X[i], Y[i]});
		}

		vi fwdedge[N], backedge[N];
		for(auto e : edgeset)
		{
			fwdedge[e.first].push_back(e.second);
			backedge[e.second].push_back(e.first);
		}





























		dss dsu1(N);

		int comps = 0;

		vi checkedge[N];
		vi vis(N, 0);


		for(int i = 0; i <= N-2; i++)
		{
			comps++;

			for(int j : backedge[i])
			{
				comps -= dsu1.join(i, j);
			}

			for(int q : queries[i])
			{
				int t = W[q];

				if(!(l <= t && t <= r)) continue;

				set<pii> currcritical;
				vi vertlist;

				for(int ei = l; ei <= r; ei++)
				{
					if(Y[ei] >= P[q] + 1) continue;
					if(ei > W[q]) continue;

					if(T[ei] == 0)
						currcritical.insert({X[ei], Y[ei]});
					else
						currcritical.erase({X[ei], Y[ei]});
				}

				for(auto k : currcritical)
				{
					int rx = dsu1.root(k.first);
					int ry = dsu1.root(k.second);

					checkedge[rx].push_back(ry);
					checkedge[ry].push_back(rx);

					vertlist.push_back(rx);
					vertlist.push_back(ry);
				}

				int thiscomps = comps;

				for(int z : vertlist)
				{
					if(vis[z]) continue;

					queue<int> tbv;
					tbv.push(z);
					vis[z] = 1;

					while(!tbv.empty())
					{
						int u = tbv.front();
						tbv.pop();

						for(int v : checkedge[u])
						{
							if(vis[v]) continue;
							vis[v] = 1;
							thiscomps--;
							tbv.push(v);
						}
					}
				}

				for(int v : vertlist)
				{
					vis[v] = 0;
					checkedge[v].clear();
				}

				res[q] += thiscomps;
				// cerr << "thiscomps = " << thiscomps << '\n';
			}
		}






















		dss dsu2(N);

		comps = 0;

		for(int i = 0; i < N; i++)
			checkedge[i].clear();

		vis = vi(N, 0);


		for(int i = N-1; i >= 1; i--)
		{
			comps++;

			for(int j : fwdedge[i])
			{
				comps -= dsu2.join(i, j);
			}

			for(int q : queries[i-1])
			{
				int t = W[q];
				if(!(l <= t && t <= r)) continue;

				set<pii> currcritical;
				vi vertlist;

				for(int ei = l; ei <= r; ei++)
				{
					if(X[ei] <= P[q]) continue;
					if(ei > W[q]) continue;

					if(T[ei] == 0)
						currcritical.insert({X[ei], Y[ei]});
					else
						currcritical.erase({X[ei], Y[ei]});
				}

				for(auto k : currcritical)
				{
					int rx = dsu2.root(k.first);
					int ry = dsu2.root(k.second);

					checkedge[rx].push_back(ry);
					checkedge[ry].push_back(rx);

					vertlist.push_back(rx);
					vertlist.push_back(ry);
				}

				int thiscomps = comps;

				for(int z : vertlist)
				{
					if(vis[z]) continue;

					queue<int> tbv;
					tbv.push(z);
					vis[z] = 1;

					while(!tbv.empty())
					{
						int u = tbv.front();
						tbv.pop();

						for(int v : checkedge[u])
						{
							if(vis[v]) continue;
							vis[v] = 1;
							thiscomps--;
							tbv.push(v);
						}
					}
				}

				for(int v : vertlist)
				{
					vis[v] = 0;
					checkedge[v].clear();
				}

				res[q] += thiscomps;
				// cerr << "thiscomps = " << thiscomps << '\n';
			}
		}
	}




	return res;
}
# Verdict Execution time Memory Grader output
1 Correct 176 ms 468 KB Output is correct
2 Correct 4 ms 340 KB Output is correct
3 Incorrect 4 ms 340 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 38 ms 2764 KB Output is correct
2 Correct 43 ms 2748 KB Output is correct
3 Execution timed out 15077 ms 5024 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 26 ms 2688 KB Output is correct
2 Correct 46 ms 2704 KB Output is correct
3 Correct 58 ms 2756 KB Output is correct
4 Correct 70 ms 2772 KB Output is correct
5 Correct 392 ms 2752 KB Output is correct
6 Correct 4660 ms 3324 KB Output is correct
7 Execution timed out 15063 ms 5744 KB Time limit exceeded
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 176 ms 468 KB Output is correct
2 Correct 4 ms 340 KB Output is correct
3 Incorrect 4 ms 340 KB Output isn't correct
4 Halted 0 ms 0 KB -