Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

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

Sample Output 1

11
12
16

Initially, the sequence A is 1,2,3,4.

After each operation, it becomes the following:

2, 2, 3, 4

2, 2, 4, 4

4, 4, 4, 4

Sample Input 2

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

Sample Output 2

8
4
4

Note that the sequence A may not contain an element whose value is B_{i}.

Sample Input 3

2
1 2
3
1 100
2 100
100 1000

Sample Output 3

102
200
2000

Solution in C (GCC 9.2.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include <assert.h>
#include <stdio.h>
#include <string.h>

/*
	入力例：
	3
	1 1 3
*/

int main(){
	int i,j;
	long lN;
	long aryNum[100005]={0};
	scanf("%ld", &lN);

	long lA[lN];
	for(long i=0;i<lN;i++){
	 scanf("%ld", &lA[i]);
	}

	long lQ;
	scanf("%ld", &lQ);
	long lBC[lQ][2];
	for(long i=0;i<lQ;i++){
		for(int j=0;j<2;j++){
			scanf("%ld", &(lBC[i][j]));
		}
	}
 	for(long i=0;i<lN;i++){
		aryNum[lA[i]]+=1;
	}
	for(long i=0;i<lQ;i++){
		aryNum[lBC[i][1]]+=aryNum[lBC[i][0]];
		aryNum[lBC[i][0]]=0;
		long strRet=0;
	 	for(long j=0;j<100005;j++){

			if (aryNum[j]>0){
				strRet+=j*aryNum[j];
			}
		}
		printf("%ld\n",strRet);
	}
 return 0;
}