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 Go (1.14.1) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

var rd = bufio.NewReader(os.Stdin)

// 標準入力から1行読み込む。
func readLine() string {
	buf := make([]byte, 0)
	for {
		l, p, e := rd.ReadLine()
		if e != nil {
			panic(e)
		}
		buf = append(buf, l...)
		if !p {
			break
		}
	}
	return string(buf)
}

// 渡された文字列(空白区切りの整数の並び)をintのスライスにする。
func intsFromLine(line string) []int {
	slice := make([]int, 0)
	for _, str := range strings.Split(line, " ") {
		num, err := strconv.Atoi(str)
		if err != nil {
			panic(err)
		}
		slice = append(slice, num)
	}
	return slice
}

func main() {
	_ = intsFromLine(readLine())[0]
	nums := intsFromLine(readLine())
	Q := intsFromLine(readLine())[0]
	count := make([]int, 100001)
	total := 0
	totals := make([]int, 0)

	for _, num := range nums {
		total += num
		count[num]++
	}

	for i := 0; i < Q; i++ {
		buf := intsFromLine(readLine())
		B, C := buf[0], buf[1]
		total += (C - B) * count[B]
		count[C] += count[B]
		count[B] = 0
		totals = append(totals, total)
	}

	for _, t := range totals {
		fmt.Println(t)
	}
}