Submission #161590

#TimeUsernameProblemLanguageResultExecution timeMemory
161590shayan_pOne-Way Streets (CEOI17_oneway)C++14
100 / 100
330 ms26732 KiB
// Remember...

#include<bits/stdc++.h>

#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)

using namespace std;

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

const int maxn=1e5+10,mod=1e9+7;
const ll inf=1e18;

vector<pii> v[maxn], g[maxn];
int C, h[maxn], hh[maxn];
bool mark[maxn];

int ans[maxn], who[maxn];

void prep(int u,int par=-1){
    mark[u]=1;
    hh[u]= h[u];
    for(auto p:v[u]){
	if(p.S!=par){
	    if(mark[p.F])
		hh[u]=min(hh[u], h[p.F]);
	    else
		h[p.F]= h[u]+1, prep(p.F,p.S), hh[u]=min(hh[u], hh[p.F]);
	}
    }
}
void buildg(int u,int id){
    who[u]=id;
    mark[u]=1;
    for(auto p:v[u]){
	if(mark[p.F]==0){
	    if(hh[p.F]==h[p.F])
		g[id].PB({++C,p.S}), buildg(p.F,C);
	    else
		buildg(p.F,id);
	}
    }
}

int sp[20][maxn];
int h2[maxn];

int cntd[maxn], cntu[maxn];

void prep2(int u,int par=0){
    mark[u]=1;
    h2[u]= h2[par]+1;
    sp[0][u]= par;
    for(int i=1;i<20;i++)
	sp[i][u]= sp[i-1][sp[i-1][u]];
    for(auto p:g[u])
	prep2(p.F,u);
}
int lca(int a,int b){
    if(h2[a]<h2[b]) swap(a,b);
    for(int i=19;i>=0;i--)
	if(h2[sp[i][a]]>=h2[b]) a=sp[i][a];
    if(a==b) return a;
    for(int i=19;i>=0;i--)
	if(sp[i][a]!=sp[i][b]) a=sp[i][a], b=sp[i][b];
    return sp[0][a];
}

void dfs(int u,int par=-1){
    mark[u]=1;
    for(auto p:g[u]){
	dfs(p.F,p.S);
	cntu[u]+= cntu[p.F];
	cntd[u]+= cntd[p.F];
    }
    assert((cntu[u] && cntd[u])==0);
    if(cntu[u])
	ans[par]=1;
    if(cntd[u])
	ans[par]=0;
}

vector<pii> ed;

int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie();

    memset(ans,-1,sizeof ans);
    
    int n,m; cin>>n>>m;

    for(int i=0;i<m;i++){
	int a,b; cin>>a>>b;
	v[a].PB({b,i});
	v[b].PB({a,i});
	ed.PB({a,b});
    }
    for(int i=1;i<=n;i++)
	if(mark[i]==0)
	    prep(i);
    memset(mark,0,sizeof mark);
    for(int i=1;i<=n;i++)
	if(mark[i]==0)
	    buildg(i,++C);

    memset(mark,0,sizeof mark);
    for(int i=1;i<=C;i++)
	if(mark[i]==0)
	    prep2(i);
    
    int q; cin>>q;
    for(int i=0;i<q;i++){
	int a,b; cin>>a>>b;
	a=who[a], b=who[b];
	int lc=lca(a,b);
	cntu[a]++, cntu[lc]--;
	cntd[b]++, cntd[lc]--;
    }

    memset(mark,0,sizeof mark);
    for(int i=1;i<=C;i++)
	if(mark[i]==0)
	    dfs(i);

    for(int i=0;i<m;i++){
	if(ans[i]==-1) cout<<'B';
	else if((ans[i]) ^ (h[ed[i].F] > h[ed[i].S])) cout<<'L';
	else cout<<'R';
    }
    return cout<<endl,0;
}
// Deathly mistakes:
//  * Read the problem carefully.
//  * Check maxn.
//  * Overflows.


// #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
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