Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

Connected Components

Write a program which reads relations in a SNS (Social Network Service), and judges that given pairs of users are reachable each other through the network.

Input

In the first line, two integer $n$ and $m$ are given. $n$ is the number of users in the SNS and $m$ is the number of relations in the SNS. The users in the SNS are identified by IDs $0, 1, ..., n-1$.

In the following $m$ lines, the relations are given. Each relation is given by two integers $s$ and $t$ that represents $s$ and $t$ are friends (and reachable each other).

In the next line, the number of queries $q$ is given. In the following $q$ lines, $q$ queries are given respectively. Each query consists of two integers $s$ and $t$ separated by a space character.

Output

For each query, print "yes" if $t$ is reachable from $s$ through the social network, "no" otherwise.

Constraints

$2 \leq n \leq 100,000$

$0 \leq m \leq 100,000$

$1 \leq q \leq 10,000$

Sample Input

10 9
0 1
0 2
3 4
5 7
5 6
6 7
6 8
7 8
8 9
3
0 1
5 9
1 3

Sample Output

yes
yes
no

Solution in C (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include<stdlib.h>
#define MAX 100000

int **matrix;
int color=0;
int n;

int push(int stack[],int x,int top){
	stack[top++]=x;
	return top;
}

int pop(int stack[],int *top){
	(*top)--;
	return stack[*top];
}

void Get_Color(int C[],int x){
	int stack[MAX];
	int top=0;
	int temp;
	
	color++;
	top=push(stack,x,top);
	while(top>0){
		temp=pop(stack,&top);
		if(C[temp]==0)C[temp]=color;
		for(int i=0;i<n;i++){
			if(matrix[temp][i]==1 && C[i]==0){
				top=push(stack,i,top);
				C[i]=color;
			}
		}
	}
	
	return;
}


int main(){
	int m,q;
	int i,j,x,y;
	int C[MAX];
	
	scanf("%d %d",&n,&m);
	
	matrix=malloc(sizeof(int *)*n);
	
	for(i=0;i<n;i++){
		C[i]=0;
		matrix[i]=malloc(sizeof(int)*n);
	}
	
	for(i=0;i<m;i++){
		scanf("%d %d",&x,&y);
		matrix[x][y]=1;
		matrix[y][x]=1;
	}
	
	scanf("%d",&q);
	
	for(i=0;i<q;i++){
		scanf("%d %d",&x,&y);
		if(C[x]==0)Get_Color(C,x);
		if(C[y]==0)Get_Color(C,y);
		if(C[x]==C[y])printf("yes\n");
		else printf("no\n");
	}
	
	return 0;
	
}