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: Accepted)

#include <bits/stdc++.h>

#define int long long

using namespace std;

const int MAXN = 1e5 + 100;

int arr[MAXN];

int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N;
    cin >> N;

    int sum = 0;

    for(int i = 0 ; i < N ; i++)
    {
    	int n;
    	cin >> n;
    	arr[n]++;
    	sum += n;
    }

   	int Q;
   	cin >> Q;

   	for(int i = 0 ; i < Q ; i++)
   	{
   		int b, c;
   		cin >> b >> c;
   		int temp = arr[b];
   		arr[b] = 0;
   		sum -= temp*b;
   		sum += temp*c;
   		arr[c] += temp;
   		cout << sum << '\n';
   	}

    return 0;
}