Problem: You have a sequence A composed of N positive integers: A_{1}, A_{2}, \cdots, A_{N}.

You will now successively do the following Q operations:

* In the i-th operation, you replace every element whose value is B_{i} with C_{i}.



For each i (1 \leq i \leq Q), find S_{i}: the sum of all elements in A just after the i-th operation.

Constraints

* All values in input are integers.
* 1 \leq N, Q, A_{i}, B_{i}, C_{i} \leq 10^{5}
* B_{i} \neq C_{i}

Input

Input is given from Standard Input in the following format:


N
A_{1} A_{2} \cdots A_{N}
Q
B_{1} C_{1}
B_{2} C_{2}
\vdots
B_{Q} C_{Q}


Output

Print Q integers S_{i} to Standard Output in the following format:


S_{1}
S_{2}
\vdots
S_{Q}


Note that S_{i} may not fit into a 32-bit integer.

Examples

Input

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


Output

11
12
16


Input

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


Output

8
4
4


Input

2
1 2
3
1 100
2 100
100 1000


Output

102
200
2000

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader bu=new BufferedReader(new InputStreamReader(System.in));
        StringBuilder sb=new StringBuilder();
        int n=Integer.parseInt(bu.readLine()),a[]=new int[n],i,c[]=new int[100001],k;
        long sum=0;
        String s[]=bu.readLine().split(" ");
        for(i=0;i<n;i++)
        {
            k=Integer.parseInt(s[i]);
            c[k]++;
            sum+=k;
        }
        int q=Integer.parseInt(bu.readLine());
        while(q-->0)
        {
            s=bu.readLine().split(" ");
            int l=Integer.parseInt(s[0]),r=Integer.parseInt(s[1]);
            sum-=1l*c[l]*l;
            sum+=1l*c[l]*r;
            c[r]+=c[l];
            c[l]=0;
            sb.append(sum+"\n");
        }
        System.out.print(sb);
    }
}