2017.7.22 hnoi2016 最小公倍数

Posted 2020-09-29 Super_Nick

#include<cmath>
#include<cstdio>
#include<iostream>
#include<algorithm>
#define N 50010
#define M 100010
#define RG register
#define inf 0x3f3f3f3f
using namespace std;
bool ans[N];
struct stac{
    int u,v,op;
}sta[40000];
struct node{
    int a,b,u,v,op;
}one[M+N],two[M+N],edge[M+N];
int m,n,q,cnt,tim,tot,top1,top2,fa[N],siz[N],disa[N],disb[N],vala[N],valb[N];
inline int gi(){
    RG int x=0;RG char c=getchar();
    while(c<‘0‘||c>‘9‘) c=getchar();
    while(c>=‘0‘&&c<=‘9‘) x=x*10+c-‘0‘,c=getchar();
    return x;
}
inline bool cmp1(RG const node &a,RG const node &b){
    if(a.a==b.a){
    if(a.b==b.b)
        return a.op<b.op;
    return a.b<b.b;
    }
    return a.a<b.a;
}
inline bool cmp2(RG const node &a,RG const node &b){
    if(a.b==b.b){
    if(a.a==b.a)
        return a.op<b.op;
    return a.a<b.a;
    }
    return a.b<b.b;
}
inline int find(RG int x){
    if(fa[x]==x) return x;
    return find(fa[x]);
}
inline int join(RG int u,RG int v,RG int a,RG int b,RG bool op){
    RG int fau=find(u),fav=find(v);
    if(!op){
    disa[fau]=max(a,disa[fau]);
    disb[fau]=max(b,disb[fau]);
    disa[fav]=max(a,disa[fav]);
    disb[fav]=max(b,disb[fav]);
    }
    else{
    sta[++tim].u=fau;
    sta[tim].v=fav;
    sta[tim].op=0;
    vala[fau]=max(a,vala[fau]);
    valb[fau]=max(b,valb[fau]);
    vala[fav]=max(a,vala[fav]);
    valb[fav]=max(b,valb[fav]);
    }
    if(fau==fav) return tim;
    sta[tim].op=1;
    if(siz[fau]>siz[fav]){
    fa[fav]=fau;
    siz[fau]+=siz[fav];
    if(!op){
        disa[fau]=max(disa[fau],disa[fav]);
        disb[fau]=max(disb[fau],disb[fav]);
    }
    else{
        swap(sta[tim].u,sta[tim].v);
        vala[fau]=max(vala[fau],vala[fav]);
        valb[fau]=max(valb[fau],valb[fav]);
    }
    }
    else{
    fa[fau]=fav;
    siz[fav]+=siz[fau];
    if(!op){
        disa[fav]=max(disa[fau],disa[fav]);
        disb[fav]=max(disb[fau],disb[fav]);
    }
    else{
        vala[fav]=max(vala[fau],vala[fav]);
        valb[fav]=max(valb[fau],valb[fav]);
    }
    }
    return tim;
}
inline void del(RG int x){
    if(sta[x].op){
    siz[sta[x].v]-=siz[sta[x].u];
    fa[sta[x].u]=sta[x].u;
    }
    vala[sta[x].u]=vala[sta[x].v]=valb[sta[x].u]=valb[sta[x].v]=-1;
}
int main(){
    freopen("multiple.in","r",stdin);
    freopen("multiple.out","w",stdout);
    n=gi();m=gi();
    for (RG int i=1;i<=m;++i){
    edge[i].u=gi();edge[i].v=gi();
    edge[i].a=gi();edge[i].b=gi();
    }
    q=gi();
    cnt=sqrt(m+q);
    tot=(m+q)/cnt+((m+q)%cnt>0);
    //printf("%d %d\n",cnt,tot);
    for (RG int i=1;i<=q;++i){
    edge[i+m].op=i;
    edge[i+m].u=gi();edge[i+m].v=gi();
    edge[i+m].a=gi();edge[i+m].b=gi();
    }
    sort(edge+1,edge+m+q+1,cmp1);
    //for (RG int i=1;i<=m+q;++i)
    //  printf("%d %d %d %d %d\n",edge[i].a,edge[i].b,edge[i].u,edge[i].v,edge[i].op);
    for (RG int i=1;i<=tot;++i){
    top1=top2=0;
    for (RG int j=1;j<=n;++j){
        fa[j]=j;siz[j]=1;
        disa[j]=disb[j]=-1;
    }
    for (RG int j=1;j<=min(i*cnt,m+q);++j)
        if(j<=(i-1)*cnt){
        if(!edge[j].op)
            one[++top1]=edge[j];
        }
        else if(edge[j].op)
        one[++top1]=edge[j];
        else
        two[++top2]=edge[j];
    sort(one+1,one+top1+1,cmp2);
    for (RG int j=1;j<=top1;++j){
        if(!one[j].op) join(one[j].u,one[j].v,one[j].a,one[j].b,0);
        else{
        tim=0;
        for (RG int k=1;k<=top2;++k)
            if(two[k].a<=one[j].a&&two[k].b<=one[j].b)
            two[k].op=join(two[k].u,two[k].v,two[k].a,two[k].b,1);
        RG int fau=find(one[j].u),fav=find(one[j].v);
        if(one[j].op==36){
            printf("%d %d %d %d %d %d\n",fau,fav,one[j].a,max(disa[fau],vala[fau]),one[j].b,max(disb[fau],valb[fau]));
        //  for (RG int i=1;i<=n;++i) printf("%d ",fa[i]);
        //  cout<<endl;
        }
        if(fau==fav&&max(disa[fau],vala[fau])==one[j].a&&max(disb[fau],valb[fau])==one[j].b)
            ans[one[j].op]=1;
        for (RG int k=top2;k;--k)
            if(two[k].a<=one[j].a&&two[k].b<=one[j].b)
            del(two[k].op);
        }
    }
    }
    for (RG int i=1;i<=q;++i)
    if(ans[i]) printf("Yes\n");
    else       printf("No\n");
    return 0;
}