They say that Berland has exactly two problems, fools and roads. Besides, Berland has n cities, populated by the fools and connected by the roads. All Berland roads are bidirectional. As there are many fools in Berland, between each pair of cities there is a path (or else the fools would get upset). Also, between each pair of cities there is no more than one simple path (or else the fools would get lost). 

But that is not the end of Berland's special features. In this country fools sometimes visit each other and thus spoil the roads. The fools aren't very smart, so they always use only the simple paths.

A simple path is the path which goes through every Berland city not more than once.

The Berland government knows the paths which the fools use. Help the government count for each road, how many distinct fools can go on it.

Note how the fools' paths are given in the input.

Input

The first line contains a single integer n (2 ≤ n ≤ 105) — the number of cities. 

Each of the next n - 1 lines contains two space-separated integers ui, vi (1 ≤ ui, vi ≤ n, ui ≠ vi), that means that there is a road connecting cities ui and vi. 

The next line contains integer k (0 ≤ k ≤ 105) — the number of pairs of fools who visit each other. 

Next k lines contain two space-separated numbers. The i-th line (i > 0) contains numbers ai, bi (1 ≤ ai, bi ≤ n). That means that the fool number 2i - 1 lives in city ai and visits the fool number 2i, who lives in city bi. The given pairs describe simple paths, because between every pair of cities there is only one simple path.

Output

Print n - 1 integer. The integers should be separated by spaces. The i-th number should equal the number of fools who can go on the i-th road. The roads are numbered starting from one in the order, in which they occur in the input.

Examples

Input

5
1 2
1 3
2 4
2 5
2
1 4
3 5


Output

2 1 1 1 


Input

5
3 4
4 5
1 4
2 4
3
2 3
1 3
3 5


Output

3 1 1 1 

Note

In the first sample the fool number one goes on the first and third road and the fool number 3 goes on the second, first and fourth ones.

In the second sample, the fools number 1, 3 and 5 go on the first road, the fool number 5 will go on the second road, on the third road goes the fool number 3, and on the fourth one goes fool number 1.
//package geometry;
import java.io.*;
import java.util.*;
import java.util.Map.Entry;

import java.text.*;
import java.math.*;
import java.util.regex.*;

import java.awt.Point;
/**
 *
 * @author prabhat // use stringbuilder,TreeSet, priorityQueue
 */
   public class  point4{
   public  static long[] BIT;
   public  static long[] tree;
   public  static long[] sum;
   public  static int mod=1000000007;
   public  static int[][] dp;
   public  static boolean[][] isPalin;
   public  static int max1=1000005;
   public  static int[][] g;
   public  static LinkedList<Pair> l[];
   public  static int n,m,q,k,t,a[],b[],arr[],chosen[],pos[],val[],blocksize,count=0,size[],tin[],
                                                          tout[],discover[],cntx[],cnty[],cntZ[];
   public  static long V[],low,high,min=Long.MAX_VALUE,cap[],has[],ans[],max,pre[],cnt[];
   public  static ArrayList<Integer> adj[],al;
   public  static TreeSet<Integer> ts;
   public  static   char s[][];
   public  static int depth,mini,maxi;
   public  static boolean visit[][],isPrime[],used[];
   public  static int[][] dist;
   public  static ArrayList<Integer>prime;
   public  static int[] x={0,1};
   public  static int[] y={-1,0};
   public  static ArrayList<Integer> divisor[]=new ArrayList[1500005];
   public  static  int[][] subtree,parent,mat;
   public  static  TreeMap<Integer,Integer> tm;
   public  static LongPoint[] p;
   public  static int[][] grid,memo;
   public  static ArrayList<Pair> list[];
   public  static TrieNode root;
   public  static  LinkedHashMap<String,Integer> map;
   public  static ArrayList<String> al1;
   public static int upper=(int)(1e7);
   public  static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
   public  static void main(String[] args) throws Exception
   {
   	   InputReader in = new InputReader(System.in);
	   PrintWriter pw=new PrintWriter(System.out);
	   n=in.ii();
	   adj=new ArrayList[n];
       list=new ArrayList[n];
	   for(int i=0;i<n;i++){
		 adj[i]=new ArrayList<>();
		 list[i]=new ArrayList<Pair>();
	   }
		
		 Pair[] p=new Pair[n-1];
		 LinkedHashMap<Pair,Integer> map=new LinkedHashMap<>();
		 int[] id=new int[n-1];
		for(int i=0;i<n-1;i++)
		{
			int x=in.ii()-1;
			int y=in.ii()-1;
			p[i]=new Pair(x,y);
			map.put(p[i],0);
			id[i]=i;
			list[x].add(new Pair(y,i));
			list[y].add(new Pair(x,i));
            adj[y].add(x);
			adj[x].add(y);
		}
		tin=new int[n];
		tout=new int[n];
		val=new int[n];
		discover=new int[n];
	  parent=new int[n][25];
	  dfs(0,-1);
		cntx=new int[n];
	    //cnty=new int[n];
	    //cntZ=new int[n];
 
		k=in.ii();
		while(k-->0)
		{
			int x=in.ii()-1;
			int y=in.ii()-1;
			cntx[x]++;
			cntx[y]++;
			cntx[lca(x,y)]-=2;
		}
		ans=new long[n+1];
		dfs2(0,-1);
		for(int i=0;i<n-1;i++)
        pw.print(ans[i]+" ");
	 // pw.println(lca(5,6));
	// pw.println(Arrays.toString(discover));
	// pw.println(Arrays.toString(tin));
	// pw.println(Arrays.toString(tout));
	   pw.close();
}
  static int dfs2(int cur,int par)
  {
	  int u=cntx[cur];
	  for(Pair p:list[cur])
	  {
		  if(p.x==par)continue;
		  int y=dfs2(p.x,cur);
		  ans[p.y]=y;
		  u+=y;
	  }
    return u;
  }
  static void dfs(int cur,int par)
  {
	  parent[cur][0]=(par==-1)?0:par;
	  val[cur]=par==-1?0:par;
	  discover[count]=cur;
	  tin[cur]=++count;
	 for(int i=1;i<25;i++)parent[cur][i]=parent[parent[cur][i-1]][i-1];
	 for(int ver:adj[cur])
	 {
		 if(ver==par)continue;
		 dfs(ver,cur);
	 }
	 tout[cur]=count;
  }
  static int lca(int a,int b)
  {
	  if(isParent(a, b))return a;

	  if(isParent(b,a))return b;

	  for(int i=24;i>=0;i--)
	  {
		  if(!isParent(parent[a][i],b))
		  {
			  a=parent[a][i];
		  }
	  }
	  return parent[a][0];
  }
 static boolean isParent(int u,int v)
 {
	 return tin[u]<=tin[v]&&tout[u]>=tout[v];
 }
static void update(int indx,long val)
   {
	   while(indx<max1)
	   {
		   BIT[indx]=Math.max(BIT[indx],val);
		   indx+=(indx&(-indx));
	   }
	   
   }
static long query1(int indx)
   {
	   long sum=0;
	   while(indx>=1)
	   {
		  sum=Math.max(BIT[indx],sum);
		   indx-=(indx&(-indx));
	   }
	   return sum;
	}
   
static void Seive()
{
	isPrime=new boolean[max1];
	Arrays.fill(isPrime,true);
    isPrime[0]=isPrime[1]=false;
	for(int i=2;i<(max1);i++)
	{
		if(isPrime[i])
		{
			cnt[i]=i;
			for(int j=2*i;j<max1;j+=i)
			{
				isPrime[j]=false;
                cnt[j]+=i;
			}
		}
	}	
}
static int orient(Point a,Point b,Point c)
{
	//return (int)(c.x-a.x)*(int)(b.y-a.y)-(int)(c.y-a.y)*(int)(b.x-a.x);
	Point p1=c.minus(a);
	Point p2=b.minus(a);
	return (int)(p1.cross(p2));
}
public static class Polygon {

	static final double EPS = 1e-15;
	public int n;
	public Point p[];

	Polygon(int n, Point x[]) {
		this.n = n;
		p = Arrays.copyOf(x, n);
	}

	long area(){ //returns 2 * area
		long ans = 0;
		for(int i = 1; i + 1 < n; i++)
			ans += p[i].minus(p[0]).cross(p[i + 1].minus(p[0]));
		return ans;
	}
	
	boolean PointInPolygon(Point q) {
		boolean c = false;
		for (int i = 0; i < n; i++){
			int j = (i+1)%n;
			if ((p[i].y <= q.y && q.y < p[j].y || 
					p[j].y <= q.y && q.y < p[i].y) &&
					q.x < p[i].x + (p[j].x - p[i].x) * (q.y - p[i].y) / (p[j].y - p[i].y))
			c = !c;
		 }
		return c;
	}

		// determine if point is on the boundary of a polygon
	boolean PointOnPolygon(Point q) {
		 for (int i = 0; i < n; i++)
		 if (ProjectPointSegment(p[i], p[(i+1)%n], q).dist(q) < EPS)
			 return true;
		 return false;
	}
	
	// project point c onto line segment through a and b
	Point ProjectPointSegment(Point a, Point b, Point c) {
	  double r = b.minus(a).dot(b.minus(a));
	  if (Math.abs(r) < EPS) return a;
	  r = c.minus(a).dot(b.minus(a))/r;
	  if (r < 0) return a;
	  if (r > 1) return b;
	  return a.plus(b.minus(a).mul(r));
	}
}

public static class Point {
	public double x, y;

	public Point(double x, double y) {
		this.x = x;
		this.y = y;
	}

	public Point minus(Point b) {
		return new Point(x - b.x, y - b.y);
	}
	
	public Point plus(Point a){
		return new Point(x + a.x, y + a.y);
	}

	public double cross(Point b) {
		return (double)x * b.y - (double)y * b.x;
	}

	public double dot(Point b) {
		return (double)x * b.x + (double)y * b.y;
	}
	
	public Point mul(double r){
		return new Point(x * r, y * r);
	}
	
	public double dist(Point p){
		return Math.sqrt(fastHypt( x - p.x , y - p.y));
	}
	
	public double fastHypt(double x, double y){
		return x * x + y * y;
	}
}
static class Query implements Comparable<Query>{
	int index,k;
	int L;
	int R;
	public Query(){}
	public Query(int a,int b,int index)
	{
	  this.L=a;
	  this.R=b;
	  this.index=index;
	}
   public int compareTo(Query o)
   {
	  if(L/blocksize!=o.L/blocksize)return L/blocksize-o.L/blocksize;
	  else return R-o.R;
   }
 
 }

static double dist(Point p1,Point p2)
{
	return Math.sqrt((p1.x-p2.x)*(p1.x-p2.x)+(p1.y-p2.y)*(p1.y-p2.y));
}

static class coder {
	int indx;
	String name;
	coder(int indx,String name)
	{
		this.indx=indx;
		this.name=name;
	}
}
static class TrieNode
{
	int value;  // Only used in leaf nodes
	int freq;
	TrieNode[] arr =  new TrieNode[2];
	public TrieNode() {
		value = 0;
		freq=0;
		arr[0] = null;
		arr[1] = null;
	}
}
static void insert(int pre_xor,int add)
{
	TrieNode temp = root;
	
	// Start from the msb, insert all bits of
	// pre_xor into Trie
	for (int i=31; i>=0; i--)
	{
		// Find current bit in given prefix
		int val = (pre_xor & (1<<i)) >=1 ? 1 : 0;
		
		// Create a new node if needed
		if (temp.arr[val] == null)
			temp.arr[val] = new TrieNode();
		
		temp = temp.arr[val];
		temp.freq+=add;
	}
  
	// Store value at leaf node
	//temp.value = pre_xor;
}

static long query(int pre_xor)
{
	TrieNode temp = root;
	long ans=0;
	for (int i=31; i>=0; i--)
	{
		// Find current bit in given prefix
		int val = (pre_xor & (1<<i)) >= 1 ? 1 : 0;
		
		if(temp.arr[1-val]!=null&&temp.arr[1-val].freq>0)
		{
			ans|=1l<<i;
			temp=temp.arr[1-val];
		}
        else if(temp.arr[val]!=null&&temp.arr[val].freq>0)
            temp=temp.arr[val];
		else break;
	}
	return ans;
}


static int gcd(int a, int b) 
{
	int res=0;
	while(a!=0)
	{
		res=a;
		a=b%a;
		b=res;
	}
	return b;
}
static slope getSlope(Point p, Point q)
	{
		int dx = (int)(q.x - p.x), dy = (int)(q.y - p.y);
		int g = gcd(dx, dy);
		return new slope(dy / g, dx / g);
	}
	
static class slope implements Comparable<slope>
{
	int x,y;
	public slope(int y,int x)
	{
		this.x=x;
		this.y=y;
	}
	public int compareTo(slope s)
	{
		if(s.y!=y)return y-s.y;
	return x-s.x;
	}
}

static class Ball implements Comparable
	{
		int r;
		int occ;
		public Ball(int r,int occ)
		{
			this.r = r;
			this.occ = occ;
		}
		@Override
		public int compareTo(Object o) {
			Ball b = (Ball) o;
			return b.occ-this.occ;
		}
	}

static class E implements Comparable<E>{
	int x,y;
	char c;
	E(int  x,int y,char c)
	{
		this.x=x;
		this.y=y;
		this.c=c;
	}
	public int compareTo(E o)
	{
		if(x!=o.x)return o.x-x;
		else return y-o.y;
		
	}
}


static class SegmentTree{
  
  int n;
  int max_bound;
 
  public SegmentTree(int n)
  {
	
	  this.n=n;
	  tree=new long[4*n+1];
	  build(1,0,n-1);
  }
void build(int c,int s,int e)
{
   if(s==e)
   {
	   tree[c]=arr[s];
	   return ;
   }

   int mid=(s+e)>>1;
   build(2*c,s,mid);
   build(2*c+1,mid+1,e);
   tree[c]=(tree[2*c]&tree[2*c+1]);
}
void put(int c,int s, int e,int l,int r,int  v) {
	if(l>e||r<s||s>e)return ;
	if (s == e) 
	{
		tree[c] = arr[s]^v;
		return;
	}
	int mid = (s + e) >> 1;
	if (l>mid) put(2*c+1,m+1, e , l,r, v);
	else if(r<=mid)put(2*c,s,m,l,r , v);
	else{
      
	}
	
}
long query(int c,int s,int e,int l,int r)
{
   if(e<l||s>r)return 0L;

   if(s>=l&&e<=r)
   {
	return tree[c];
   }

	int mid=(s+e)>>1;
	long ans=(1l<<30)-1;
	if(l>mid)return query(2*c+1,mid+1,e,l,r);
	else if(r<=mid)return query(2*c,s,mid,l,r);
	else{
		return query(2*c,s,mid,l,r)&query(2*c+1,mid+1,e,l,r);
	}

 }
}  

   
   public static ListNode removeNthFromEnd(ListNode a, int b) {
       
    int cnt=0;
	ListNode ra1=a;
	ListNode ra2=a;
	while(ra1!=null){ra1=ra1.next; cnt++;}
	
	if(b>cnt)return a.next;
	else if(b==1&&cnt==1)return null;
	else{
		int y=cnt-b+1;
		int u=0;
		ListNode prev=null;
		while(a!=null)
		{
			u++;
		   if(u==y)
		   {
			   if(a.next==null)prev.next=null;
			   else
			   {
				   if(prev==null)return ra2.next;
				   prev.next=a.next;
				   a.next=null;
			   }
			   break;
		   }
		   prev=a;
		   a=a.next;
		}
	}
	return ra2;
}
   static ListNode rev(ListNode a)
   {
       ListNode prev=null;
       ListNode cur=a;
       ListNode next=null;
       while(cur!=null)
       {
           next=cur.next;
           cur.next=prev;
           prev=cur;
           cur=next;
       }
       return prev;
   }
  
  static class ListNode {
	     public int val;
	     public ListNode next;
	     ListNode(int x) { val = x; next = null; }
	 }
  
 
   public static String add(String s1,String s2)
   {
	   int n=s1.length()-1;
	   int m=s2.length()-1;
	   int rem=0;
	   int carry=0;
	   int i=n;
	   int j=m;
	   String ans="";
	   while(i>=0&&j>=0)
	   {
		 int c1=(int)(s1.charAt(i)-'0');
		 int c2=(int)(s2.charAt(j)-'0');
		 int sum=c1+c2;
		 sum+=carry;
		 rem=sum%10;
		 carry=sum/10;
         ans=rem+ans;
		  i--; j--;
		  
	   }
	   while(i>=0)
	   {
		int c1=(int)(s1.charAt(i)-'0');
	
		int sum=c1;
		sum+=carry;
		rem=sum%10;
		carry=sum/10;
		ans=rem+ans;
		i--;
	   }
	   while(j>=0)
	   {
	
		int c2=(int)(s2.charAt(j)-'0');
		int sum=c2;
		sum+=carry;
		rem=sum%10;
		carry=sum/10;
		ans=rem+ans;
		j--;
	   }

	   if(carry>0)ans=carry+ans;
	   return ans;
   }
   public static String[] multiply(String A, String B) {
	int lb=B.length();
	char[] a=A.toCharArray();
	char[] b=B.toCharArray();
	String[] s=new String[lb];
	int cnt=0;
	int y=0;
	String s1="";
q=0;
	for(int i=b.length-1;i>=0;i--)
	{
		int rem=0;
		int carry=0;
		
	
		for(int j=a.length-1;j>=0;j--)
		{
			int mul=(int)(b[i]-'0')*(int)(a[j]-'0');
			mul+=carry;
			rem=mul%10;
			carry=mul/10;
			s1=rem+s1;
		}
		s1=carry+s1;
		s[y++]=s1;
		q=Math.max(q,s1.length());
		s1="";
		for(int i1=0;i1<y;i1++)s1+='0';
		
	}
	return s;
}
   public static long nCr(long total, long choose)
   {
	   if(total < choose)
		   return 0;
	   if(choose == 0 || choose == total)
		   return 1;
	   return nCr(total-1,choose-1)+nCr(total-1,choose);
   }
 
 
   static int get(long s)
   {
	  int ans=0;
	  for(int i=0;i<n;i++)
	  {
		  if(p[i].x<=s&&s<=p[i].y)ans++;
	  }
	  return ans;
   }
   static class LongPoint {
	public long x;
	public long y;

	public LongPoint(long x, long y) {
		this.x = x;
		this.y = y;
	}

	public LongPoint subtract(LongPoint o) {
		return new LongPoint(x - o.x, y - o.y);
	}

	public long cross(LongPoint o) {
		return x * o.y - y * o.x;
	}

}
    static int CountPs(String s,int n)
       {
    	boolean b=false;
    	     char[] S=s.toCharArray();
	       int[][] dp=new int[n][n];
	       boolean[][] p=new boolean[n][n];
	       for(int i=0;i<n;i++)p[i][i]=true;
	     
	       for(int i=0;i<n-1;i++)
	       {
	    	   if(S[i]==S[i+1])
	    	   {
	    		p[i][i+1]=true;
	    		dp[i][i+1]=0;
	    		b=true;
	    	   }
	       }
	    
	       for(int gap=2;gap<n;gap++)
	       {
	    	   for(int i=0;i<n-gap;i++)
	    	   {
	    		   int j=gap+i;
	    		   if(S[i]==S[j]&&p[i+1][j-1]){p[i][j]=true;}
	    		  
	    		  if(p[i][j])
	    			   dp[i][j]=dp[i][j-1]+dp[i+1][j]+1-dp[i+1][j-1];
	    		   
	    		   else if(!p[i][j]) dp[i][j]=dp[i][j-1]+dp[i+1][j]-dp[i+1][j-1];
	    		  
	    		   //if(dp[i][j]>=1)
                             //  return true;
	    	   }
	       }
	      
	   // return b; 
    return dp[0][n-1];
	       
    }
  
  

  static long divCeil(long a,long b)
  {
      return (a+b-1)/b;
  }
  static long root(int pow, long x) {
        long candidate = (long)Math.exp(Math.log(x)/pow);
        candidate = Math.max(1, candidate);
        while (pow(candidate, pow) <= x) {
            candidate++;
        }
        return candidate-1;
    }
    
    static long pow(long x, int pow)
    {
        long result = 1;
        long p = x;
        while (pow > 0) {
            if ((pow&1) == 1) {
                if (result > Long.MAX_VALUE/p) return Long.MAX_VALUE;
                result *= p;
            }
            pow >>>= 1;
            if (pow > 0 && p >= 4294967296L) return Long.MAX_VALUE;
            p *= p;
        }
        return result;
    }
  
  static boolean valid(int i,int j)
  {
	  if(i>=0&&i<n&&j>=0&&j<m)return true;
	  return false;
  }
  private static class DSU{
		int[] parent;
		int[] rank;
		int cnt;
		public DSU(int n){
			parent=new int[n];
			rank=new int[n];
			for(int i=0;i<n;i++){
				parent[i]=i;
				rank[i]=1;
			}
			cnt=n;
		}
		int find(int i){
	        while(parent[i] !=i){
	        	parent[i]=parent[parent[i]];
	        	i=parent[i];
	        }
	        return i;
	    }
		int Union(int x, int y){
	        int xset = find(x);
	        int yset = find(y);
	        if(xset!=yset)
	        	cnt--;
	        if(rank[xset]<rank[yset]){
	        	parent[xset] = yset;
		        rank[yset]+=rank[xset];
		        rank[xset]=0;
		        return yset;
	        }else{
	        	parent[yset]=xset;
	        	rank[xset]+=rank[yset];
	        	rank[yset]=0;
	        	return xset;
	        }
	    }
	}
  public static int[][] packU(int n, int[] from, int[] to, int max) {
	    
	    int[][] g = new int[n][];
	    int[] p = new int[n];
	    for (int i = 0; i < max; i++) p[from[i]]++;
	    for (int i = 0; i < max; i++) p[to[i]]++;
	    for (int i = 0; i < n; i++) g[i] = new int[p[i]];
	    for (int i = 0; i < max; i++) {
	        g[from[i]][--p[from[i]]] = to[i];
	        g[to[i]][--p[to[i]]] = from[i];
	    }
	    return g;
	}
	public static int[][] parents3(int[][] g, int root) {
	    int n = g.length;
	    int[] par = new int[n];
	    Arrays.fill(par, -1);

	    int[] depth = new int[n];
	    depth[0] = 0;

	    int[] q = new int[n];
	    q[0] = root;
	    for (int p = 0, r = 1; p < r; p++) {
	        int cur = q[p];
	        for (int nex : g[cur]) {
	            if (par[cur] != nex) {
	                q[r++] = nex;
	                par[nex] = cur;
	                depth[nex] = depth[cur] + 1;
	            }
	        }
	    }
	    return new int[][]{par, q, depth};
	}
	public static int lower_bound(int[] nums, int target) {
        int low = 0, high = nums.length - 1;
        while (low < high) {
            int mid = low + (high - low) / 2;
            if (nums[mid] < target)
                low = mid + 1;
            else
                high = mid;
        }
        return nums[low] == target ? low : -1;
    }

    public static int upper_bound(int[] nums, int target) {
        int low = 0, high = nums.length - 1;
        while (low < high) {
            int mid = low + (high + 1 - low) / 2;
            if (nums[mid] > target)
                high = mid - 1;
            else
                low = mid;
        }
        return nums[low] == target ? low : -1;
    }
  public static boolean palin(String s)
	{
	   int i=0;
	   int j=s.length()-1;
	   while(i<j)
	   {
		   if(s.charAt(i)==s.charAt(j))
		   {
			   i++;
			   j--;
		   }
		   else return false;     
	   }
	   return true;
	}
	
 
static int lcm(int a,int b)
{
	return (a*b)/(gcd(a,b));
}

public static long pow(long n,long p,long m)
{
	 long  result = 1;
	  if(p==0)
	    return 1;
	
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;
	    if(result>=m)
	    result%=m;
	    p >>=1;
	    n*=n;
	    if(n>=m)
	    n%=m;
	}
	return result;
}

    /**
     *
     * @param n
     * @param p
     * @return
     */
    public static long pow(long n,long p)
     {
	long  result = 1;
	  if(p==0)
	    return 1;
	if (p==1)
	    return n;
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;
	    p >>=1;
	    n*=n;
	}
	return result;

     }




static class Edge implements Comparator<Edge> {
	private int u;
	private int v;
	private long w;
	public Edge() {
	}
	public Edge(int u, int v, long w) {
		this.u=u;
		this.v=v;
		this.w=w;
	}
	public int getU() {
		return u;
	}
	public void setU(int u) {
		this.u = u;
	}
	public int getV() {
		return v;
	}
	public void setV(int v) {
		this.v = v;
	}
	public long getW() {
		return w;
	}
	public void setW(int w) {
		this.w = w;
	      }
	public long compareTo(Edge e)
	  {
		return (this.getW() - e.getW());
	}

        @Override
        public int compare(Edge o1, Edge o2) {
            throw new UnsupportedOperationException("Not supported yet."); //To change body of generated methods, choose Tools | Templates.
        }
	
}



static class Pair implements Comparable<Pair>
{
	int x,y;
	Pair (int a,int b)
	{
		this.x=a;
		this.y=b;
	}

	public int compareTo(Pair o) {
		// TODO Auto-generated method stub
		if(this.x!=o.x)
		return -Integer.compare(this.x,o.x);
		else
			return -Integer.compare(this.y, o.y);
		//return 0;
	}
	public boolean equals(Object o) {
       if (o instanceof Pair) {
           Pair p = (Pair)o;
           return p.x == x && p.y == y;
       }
       return false;
   }
   public int hashCode() {
       return new Integer(x).hashCode() * 31 + new Integer(y).hashCode();
   }
}

static  class InputReader
{
   private InputStream stream;
   private byte[] buf = new byte[1024];

   private SpaceCharFilter filter;
    byte inbuffer[] = new byte[1024];
   int lenbuffer = 0, ptrbuffer = 0;
    final int M = (int) 1e9 + 7;
   int md=(int)(1e7+1);
    int[] SMP=new int[md];
   final double eps = 1e-6;
   final double pi = Math.PI;

	PrintWriter out;
   String check = "";
 InputStream   obj = check.isEmpty() ? System.in : new ByteArrayInputStream(check.getBytes());
   public InputReader(InputStream stream)
   {
       this.stream = stream;
   }

    int readByte() {
	        if (lenbuffer == -1) throw new InputMismatchException();
	        if (ptrbuffer >= lenbuffer) {
	            ptrbuffer = 0;
	            try {
	                lenbuffer = obj.read(inbuffer);
	            } catch (IOException e) {
	                throw new InputMismatchException();
	            }
	        }
	        if (lenbuffer <= 0) return -1;
	        return inbuffer[ptrbuffer++];
   }

   public  int read()
   {
       int c = read();
       while (isSpaceChar(c))
           c = read();
       int sgn = 1;
       if (c == '-')
       {
           sgn = -1;
           c = read();
       }
       int res = 0;
       do
       {
           if (c < '0' || c > '9')
               throw new InputMismatchException();
           res *= 10;
           res += c - '0';
           c = read();
       } while (!isSpaceChar(c));
       return res * sgn;
   }

   String is() {
	        int b = skip();
	        StringBuilder sb = new StringBuilder();
	        while (!(isSpaceChar(b))) // when nextLine, (isSpaceChar(b) && b!=' ')
	        {
	            sb.appendCodePoint(b);
	            b = readByte();
	        }
	        return sb.toString();
   }
   public   int ii() {
	        int num = 0, b;
	        boolean minus = false;
	        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
	        if (b == '-') {
	            minus = true;
	            b = readByte();
	        }
	        while (true) {
	            if (b >= '0' && b <= '9') {
	                num = num * 10 + (b - '0');
	            } else {
	                return minus ? -num : num;
	            }
	            b = readByte();
	        }
   }
 public   long il() {
	        long num = 0;
	        int b;
	        boolean minus = false;
	        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
	        if (b == '-') {
	            minus = true;
	            b = readByte();
	        }
	        while (true) {
	            if (b >= '0' && b <= '9') {
	                num = num * 10 + (b - '0');
	            } else {
	                return minus ? -num : num;
	            }
	            b = readByte();
	        }
   }
   
	    boolean isSpaceChar(int c) {
	        return (!(c >= 33 && c <= 126));
	       }

	      int skip()
	        {
	        int b;
	        while ((b = readByte()) != -1 && isSpaceChar(b)) ;
	        return b;
	        }

	    float nf() {
	        return Float.parseFloat(is());
	    }

	    double id() {
	        return Double.parseDouble(is());
	    }

	    char ic() {
	        return (char) skip();
	    }

	    int[] iia(int n) {
	        int a[] = new int[n];
	        for (int i = 0; i<n; i++) a[i] = ii();
	        return a;
	    }

	    long[] ila(int n) {
	        long a[] = new long[n];
	        for (int i = 0; i <n; i++) a[i] = il();
	        return a;
	    }

	    String[] isa(int n) {
	        String a[] = new String[n];
	        for (int i = 0; i < n; i++) a[i] = is();
	        return a;
	    }


		 long mul(long a, long b) { return a * b % M; }

			long div(long a, long b)
				 {
					return mul(a, pow(b, M - 2));

		           }



	    double[][] idm(int n, int m) {
	        double a[][] = new double[n][m];
	        for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) a[i][j] = id();
	        return a;
	        }

	    int[][] iim(int n, int m) {
	        int a[][] = new int[n][m];
	        for (int i = 0; i < n; i++) for (int j = 0; j <m; j++) a[i][j] = ii();
	        return a;
          }


   public String readLine() {
       int c = read();
       while (isSpaceChar(c))
           c = read();
       StringBuilder res = new StringBuilder();
       do {
           res.appendCodePoint(c);
           c = read();
       } while (!isEndOfLine(c));
       return res.toString();
   }

   public interface SpaceCharFilter
   {
       public boolean isSpaceChar(int ch);
   }
   public boolean isEndOfLine(int c) {
       return c == '\n' || c == '\r' || c == -1;
   }
}

}
