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: Wrong Answer)

package main

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

var sc = bufio.NewScanner(os.Stdin)

func main() {
	var input string

	if sc.Scan() {
		input = sc.Text()
	}

	if sc.Scan() {
		input = sc.Text()
	}
	slice := strings.Split(input, " ")
	numMap := make(map[uint64]uint64)
	for _, numStr := range slice {
		numUint64, _ := strconv.ParseUint(numStr, 10, 64)
		if val, ok := numMap[numUint64]; ok {
			numMap[numUint64] += val + 1
		} else {
			numMap[numUint64] = 1
		}
	}

	if sc.Scan() {
		input = sc.Text()
	}

	var result []uint64
	q, _ := strconv.ParseUint(input, 10, 64)
	for i := 0; uint64(i) < q; i++ {
		if sc.Scan() {
			input = sc.Text()
		}
		bcSlice := strings.Split(input, " ")
		b, _ := strconv.ParseUint(bcSlice[0], 10, 64)
		// fmt.Printf("Debug b: %d\n", b)
		c, _ := strconv.ParseUint(bcSlice[1], 10, 64)
		// fmt.Printf("Debug c: %d\n", c)
		if val, ok := numMap[b]; ok {
			numMap[c] += val
		} else {
			numMap[c] = val
		}
		delete(numMap, b)

		sum := uint64(0)
		for key, val := range numMap {
			sum += uint64(key * val)
		}
		result = append(result, sum)
	}

	for _, val := range result {
		fmt.Println(val)
	}

}