#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(double *x){scanf("%lf",x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(double x, char c){printf("%.15f",x);mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} char memarr[87000000]; void *mem = memarr; #define MD 1000000007 int isKado(int a, int b, int c){ if(a != c && a < b && b > c) return 1; if(a != c && a > b && b < c) return 1; return 0; } void* readUndirectedGraph(int N, int M, int **es, int ***edge, void *mem, int origin=0){int i,*A;A=((int*)(((int**)mem)+N)+N+2*M);rep(i,2*M)reader(A+i),A[i]-=origin;*es=(int*)mem;*edge=(int**)((*es)+N);memset(*es,0,sizeof(int)*N);rep(i,2*M)(*es)[A[i]]++;(*edge)[0]=(int*)((*edge)+N);REP(i,1,N)(*edge)[i]=(*edge)[i-1]+(*es)[i-1];memset(*es,0,sizeof(int)*N);for(i=0;i<2*M;i+=2)(*edge)[A[i]][(*es)[A[i]]++]=A[i+1],(*edge)[A[i+1]][(*es)[A[i+1]]++]=A[i];return A;} void getDist(int N, int root, int *es, int **edge, int dist[], void *mem){int i,j,k,*q,s,z;q=(int*)mem;rep(i,N)dist[i]=-1;dist[root]=0;s=0;z=1;q[0]=root;while(z){i=q[s++];z--;rep(j,es[i]){k=edge[i][j];if(dist[k]>=0)continue;dist[k]=dist[i]+1;q[s+z++]=k;}}} template void doublingRMQBuild(T arr[], int n, int res[]){int i,k,h;rep(i,n)res[i]=i;for(k=1;;k++){h=(1<<(k-1));if(h>=n)break;rep(i,n){res[n*k+i]=res[n*(k-1)+i];if(i+harr[res[n*(k-1)+i+h]])res[n*k+i]=res[n*(k-1)+i+h];}}} template void* doublingRMQBuild(T arr[], int n, int **res, void *workMemory){int i,k,h;*res=(int*)workMemory;rep(i,n)(*res)[i]=i;for(k=1;;k++){h=(1<<(k-1));if(h>=n)break;rep(i,n){(*res)[n*k+i]=(*res)[n*(k-1)+i];if(i+harr[(*res)[n*(k-1)+i+h]])(*res)[n*k+i]=(*res)[n*(k-1)+i+h];}}return (void*)((*res)+n*k);} template int doublingRMQQuery(T arr[], int n, int rmq[], int a, int b){int d,w=b-a+1,A,B;for(d=0;(1<<(d+1))<=w;d++);A=rmq[n*d+a];B=rmq[n*d+b-(1<arr[B]?B:A;} struct LCA{ int *depth, *vs, *id, *rmq, N, *es, **edge; void dfs(int node, int bef, int dep, int *num){int i,k;id[node]=*num;vs[*num]=node;depth[(*num)++]=dep;rep(i,es[node]){k=edge[node][i];if(k==bef)continue;dfs(k,node,dep+1,num);vs[*num]=node;depth[(*num)++]=dep;}} void* init(int N_, int root, int *es_, int **edge_, void *workMemory){int m=0;N=N_;es=es_;edge=edge_;depth=(int*)workMemory;vs=depth+2*N-1;id=vs+2*N-1;dfs(root,-1,0,&m);return doublingRMQBuild(depth,2*N-1,&rmq,(void*)(id+N));} int get(int a, int b){return vs[doublingRMQQuery(depth,2*N-1,rmq,min(id[a],id[b]),max(id[a],id[b]))];} int getDepth(int a, int b){return depth[doublingRMQQuery(depth,2*N-1,rmq,min(id[a],id[b]),max(id[a],id[b]))];} int dist(int a, int b){return depth[id[a]]+depth[id[b]]-getDepth(a,b)*2;} }; int N, Q; int A[110000]; int *es, **edge; int dep[110000]; int up[110000], goup[110000]; int upp[110000][20]; void getUpArr(int n, int b){ int i, j, k; upp[n][0] = b; REP(i,1,20){ if(upp[n][i-1]==-1) upp[n][i] = -1; else upp[n][i] = upp[upp[n][i-1]][i-1]; } rep(i,es[n]){ k = edge[n][i]; if(k==b) continue; getUpArr(k, n); } } int getUp(int n, int d){ int i; rep(i,20) if(d&1< dep[y]){ if(!isKado(A[x],A[tmpup[x]],A[tmpup[tmpup[x]]])) break; x = up[x]; } else { if(!isKado(A[y],A[tmpup[y]],A[tmpup[tmpup[y]]])) break; y = up[y]; } } if(tmpup[x]!=tmpup[y]){ tmpup[xx]=up[xx]; tmpup[yy]=up[yy]; writerLn("NO"); continue; } // printf("%d %d %d\n",x,up[x],y); if(isKado(A[x],A[tmpup[x]],A[y])==0){ tmpup[xx]=up[xx]; tmpup[yy]=up[yy]; writerLn("NO"); continue; } tmpup[x]=up[x]; tmpup[y]=up[y]; writerLn("YES"); } return 0; }