제출 #425130

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
425130		alishahali1382	Split the Attractions (IOI19_split)	C++14	0 / 100	7 ms	7524 KiB

split

#include "split.h"
#include<bits/stdc++.h>
#pragma GCC optimize("O2")
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define debug(x) {cerr<<#x<<"="<<x<<"\n";}
#define debug2(x, y) {cerr<<"{"<<#x<<", "<<#y<<"}={"<<x<<", "<<y<<"}\n";}
#define debugp(p) {cerr<<#p<<"={"<<p.first<<", "<<p.second<<"}\n";}
#define debugv(abcd) {cerr<<#abcd<<": ";for (auto dcba:abcd) cerr<<dcba<<", ";cerr<<"\n";}
#define pb push_back
#define SZ(x) ((int)x.size())
#define all(x) x.begin(), x.end()

const int inf=1000001000; // 1e9
const ll INF=10000000010000000; // 1e16
const int mod=1000000007;
const int MAXN=100010;

vector<pair<int, char>> perm;
int n, m, k, a, b, c, u, v, t, x, y, solved;
int mark[MAXN], sz[MAXN], par[MAXN];
int dist[3][MAXN];
int Q[MAXN], QL, QR;
vector<int> G[MAXN];
vector<int> out;
vector<int> topol;

void BFS(int src, int *dist){
	fill(dist, dist+MAXN, inf);
	QL=QR=0;
	dist[Q[QR++]=src]=0;
	while (QL<QR){
		int v=Q[QL++];
		for (int u:G[v]) if (dist[v]+1<dist[u]){
			dist[u]=dist[v]+1;
			Q[QR++]=u;
		}
	}
}
void dfs(int node){
	mark[node]=1;
	topol.pb(node);
	for (int v:G[node]) if (!mark[v]) dfs(v);
}

vector<int> find_split(int _n, int _a, int _b, int _c, vector<int> _p, vector<int> _q){
	n=_n;
	out.resize(n, 0);
	a=_a;
	b=_b;
	c=_c;
	for (int i=0; i<SZ(_p); i++){
		int u=_p[i], v=_q[i];
		G[u].pb(v);
		G[v].pb(u);
	}
	perm.pb({a, 'a'});
	perm.pb({b, 'b'});
	perm.pb({c, 'c'});
	sort(all(perm));
	a=perm[0].first;
	b=perm[1].first;
	c=perm[2].first;
	// --------------------------

	for (int x=0; x<n; x++){
		BFS(x, dist[0]);
		int y=x;
		for (int i=0; i<n; i++) if (dist[0][i]>dist[0][y]) y=i;
		BFS(y, dist[1]);
		// debug2(x, y)
		vector<int> X, Y, P(n, 0);
		iota(all(P), 0);
		sort(all(P), [](int i, int j){
			return dist[0][i]<dist[0][j];
		});
		memset(mark, 0, sizeof(mark));
		topol.clear();
		for (int i=0; i<a; i++){
			X.pb(P[i]);
			mark[P[i]]=1;
		}
		dfs(y);
		Y=topol;
		if (SZ(X)>=a && SZ(Y)>=b){
			for (int i=0; i<a; i++) out[X[i]]=1;
			for (int i=0; i<b; i++) out[Y[i]]=2;
			solved=1;
			break ;
		}
	}


	// --------------------------
	if (!solved) return out;
	// debugv(out)
	for (int i=0; i<n; i++){
		if (!out[i]) out[i]=3;
		if (out[i]==1){
			if (perm[0].second=='a') out[i]=1;
			if (perm[0].second=='b') out[i]=2;
			if (perm[0].second=='c') out[i]=3;
		}
		else if (out[i]==2){
			if (perm[1].second=='a') out[i]=1;
			if (perm[1].second=='b') out[i]=2;
			if (perm[1].second=='c') out[i]=3;
		}
		else if (out[i]==3){
			if (perm[2].second=='a') out[i]=1;
			if (perm[2].second=='b') out[i]=2;
			if (perm[2].second=='c') out[i]=3;
		}
	}
	for (int i=0; i<n; i++){
		if (out[i]==1) _a--;
		if (out[i]==2) _b--;
		if (out[i]==3) _c--;
	}
	assert(!a && !b && !c);
	return out;
}

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