Submission #220494

# Submission time Handle Problem Language Result Execution time Memory
220494 2020-04-08T02:15:25 Z arnold518 Collapse (JOI18_collapse) C++14
30 / 100
10369 ms 19116 KB
#include "collapse.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;
const int SQ = 1500;

struct Query { int t, x, y, p; };

int N, C, Q;
Query A[MAXN+10], B[MAXN+10], V[MAXN*2+10];
vector<int> ans;

struct UF
{
	int par[MAXN+10], sz[MAXN+10];
	vector<int> S;
	void init()
	{
		int i, j;
		S.clear();
		for(i=1; i<=N; i++) par[i]=i, sz[i]=1;
	}
	int Find(int x) { return x==par[x] ? x : Find(par[x]); }
	int Union(int x, int y)
	{
		x=Find(x); y=Find(y);
		if(x==y) return 0;
		if(sz[x]<sz[y]) swap(x, y);
		sz[x]+=sz[y]; par[y]=x;
		S.push_back(y);
		return 1;
	}
	void restore()
	{
		int v=S.back(); S.pop_back();
		sz[par[v]]-=sz[v];
		par[v]=v;
	}
}uf;

vector<int> simulateCollapse(int _N, vector<int> _T, vector<int> _X, vector<int> _Y, vector<int> _W, vector<int> _P)
{
	int i, j, k, p, q;

	N=_N; C=_T.size(); Q=_W.size(); ans.resize(Q, N);
	for(i=0; i<C; i++) if(_X[i]>_Y[i]) swap(_X[i], _Y[i]);
	for(i=0; i<C; i++) A[i+1]={_T[i], _X[i]+1, _Y[i]+1, i+1};
	for(i=0; i<Q; i++) B[i+1]={-1, _P[i]+1, i, _W[i]+1};

	for(i=1; i<=C; i++) V[i]=A[i];
	for(i=1; i<=Q; i++) V[i+C]=B[i];

	sort(V+1, V+C+Q+1, [&](const Query &p, const Query &q)
	{
		if(p.p!=q.p) return p.p<q.p;
		else return p.t>q.t;
	});

	for(i=0; i<=(C+Q)/SQ; i++)
	{
		int l=max(1, i*SQ), r=min(C+Q, (i+1)*SQ-1);
		set<pii> S;
		vector<pii> E1, E2;
		vector<int> query;

		for(j=1; j<l; j++)
		{
			if(V[j].t==0) S.insert({V[j].x, V[j].y});
			else if(V[j].t==1) S.erase({V[j].x, V[j].y});
		}
		for(j=l; j<=r; j++)
		{
			if(V[j].t==-1)
			{
				query.push_back(j);
			}
			else
			{
				if(S.count({V[j].x, V[j].y}))
				{
					S.erase({V[j].x, V[j].y});
					E2.push_back({V[j].x, V[j].y});
				}
			}
		}
		for(auto it : S) E1.push_back(it);

		sort(E1.begin(), E1.end(), [&](const pii &p, const pii &q) { return p.second<q.second; });
		sort(E2.begin(), E2.end(), [&](const pii &p, const pii &q) { return p.second<q.second; });
		sort(query.begin(), query.end(), [&](const int &p, const int &q) { return V[p].x<V[q].x; });

		uf.init(); j=0;
		for(auto &it : query)
		{
			for(; j<E1.size() && E1[j].second<=V[it].x; j++) uf.Union(E1[j].first, E1[j].second);
			set<pii> S1; vector<pii> S2;
			for(p=l; p<=it; p++)
			{
				if(V[p].t==-1) continue;
				if(V[p].y>V[it].x) continue;
				if(V[p].t==0) S1.insert({V[p].x, V[p].y});
				else S1.erase({V[p].x, V[p].y});
				S2.push_back({V[p].x, V[p].y});
			}
			sort(S2.begin(), S2.end());
			int cnt=0;
			for(auto jt : S1) cnt+=uf.Union(jt.first, jt.second);
			for(auto jt : E2) if(jt.second<=V[it].x && !binary_search(S2.begin(), S2.end(), jt)) cnt+=uf.Union(jt.first, jt.second);
			ans[V[it].y]-=uf.S.size();
			while(cnt--) uf.restore();
		}

		sort(E1.begin(), E1.end(), [&](const pii &p, const pii &q) { return p.first>q.first; });
		sort(E2.begin(), E2.end(), [&](const pii &p, const pii &q) { return p.first>q.first; });
		sort(query.begin(), query.end(), [&](const int &p, const int &q) { return V[p].x>V[q].x; });

		uf.init(); j=0;
		for(auto &it : query)
		{
			for(; j<E1.size() && E1[j].first>V[it].x; j++) uf.Union(E1[j].first, E1[j].second);
			set<pii> S1; vector<pii> S2;
			for(p=l; p<=it; p++)
			{
				if(V[p].t==-1) continue;
				if(V[p].x<=V[it].x) continue;
				if(V[p].t==0) S1.insert({V[p].x, V[p].y});
				else S1.erase({V[p].x, V[p].y});
				S2.push_back({V[p].x, V[p].y});
			}
			int cnt=0;
			for(auto jt : S1) cnt+=uf.Union(jt.first, jt.second);
			for(auto jt : E2) if(jt.first>V[it].x && !binary_search(S2.begin(), S2.end(), jt)) cnt+=uf.Union(jt.first, jt.second);
			ans[V[it].y]-=uf.S.size();
			while(cnt--) uf.restore();
		}
	}

	return ans;
}

Compilation message

collapse.cpp: In member function 'void UF::init()':
collapse.cpp:24:10: warning: unused variable 'j' [-Wunused-variable]
   int i, j;
          ^
collapse.cpp: In function 'std::vector<int> simulateCollapse(int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
collapse.cpp:100:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(; j<E1.size() && E1[j].second<=V[it].x; j++) uf.Union(E1[j].first, E1[j].second);
          ~^~~~~~~~~~
collapse.cpp:125:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(; j<E1.size() && E1[j].first>V[it].x; j++) uf.Union(E1[j].first, E1[j].second);
          ~^~~~~~~~~~
collapse.cpp:48:12: warning: unused variable 'k' [-Wunused-variable]
  int i, j, k, p, q;
            ^
collapse.cpp:48:18: warning: unused variable 'q' [-Wunused-variable]
  int i, j, k, p, q;
                  ^
# Verdict Execution time Memory Grader output
1 Correct 17 ms 896 KB Output is correct
2 Correct 11 ms 640 KB Output is correct
3 Incorrect 14 ms 640 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 151 ms 5884 KB Output is correct
2 Correct 156 ms 5888 KB Output is correct
3 Incorrect 2477 ms 11360 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 147 ms 5880 KB Output is correct
2 Correct 158 ms 5888 KB Output is correct
3 Correct 159 ms 5880 KB Output is correct
4 Correct 163 ms 5880 KB Output is correct
5 Correct 220 ms 6008 KB Output is correct
6 Correct 562 ms 6476 KB Output is correct
7 Correct 6549 ms 14988 KB Output is correct
8 Correct 9159 ms 17880 KB Output is correct
9 Correct 179 ms 6648 KB Output is correct
10 Correct 275 ms 6776 KB Output is correct
11 Correct 9923 ms 18780 KB Output is correct
12 Correct 9996 ms 18964 KB Output is correct
13 Correct 10094 ms 19116 KB Output is correct
14 Correct 10369 ms 18856 KB Output is correct
15 Correct 10126 ms 18756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 896 KB Output is correct
2 Correct 11 ms 640 KB Output is correct
3 Incorrect 14 ms 640 KB Output isn't correct
4 Halted 0 ms 0 KB -