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: Runtime Error)

#include <stdio.h>
#include <algorithm>
#include <cmath>
#include <iostream>
#include <set>
#include <string>
#include <vector>

typedef long long ll;
using namespace std;

int main() {
  int N;
  cin >> N;
  int anums[10005] = {};
  int as[N];
  ll sum = 0;
  for (int i = 0; i < N; i++) {
    cin >> as[i];
    anums[as[i]]++;
    sum += 1ll * as[i];
  }
  int Q;
  cin >> Q;
  for (int i = 0; i < Q; i++) {
    int b, c;
    cin >> b >> c;
    sum = sum - 1ll * anums[b] * b + 1ll * anums[b] * c;
    anums[c] += anums[b];
    anums[b] = 0;
    cout << sum << endl;
  }
  return 0;
}