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++ (Clang 10.0.0) (judge verdict: Wrong Answer)

#include<iostream>
#include<algorithm>
#include<map>
#include<math.h>
#include<set>
#include<string>
#include<vector>
using namespace std;

#define int long long

void fastio()
{
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifndef ONLINE_JUDGE
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
#endif
}

int32_t main()
{
	fastio();
	int n;
	cin >> n;
	int a[n];
	for (int i = 0; i < n; ++i)
	{
		cin >> a[i];
	}
	sort(a, a + n);
	int q;
	cin >> q;
	while (q--)
	{
		int sum = 0;
		for (int i = 0; i < n; ++i)
		{
			sum = sum + a[i];
		}
		int x, y;
		cin >> x >> y;
		int cc = 0, ps = 0, qs = 0;
		if (binary_search(a, a + n, x))
			cc++;
		ps = x * cc;
		qs = y * cc;
		cout << sum - ps + qs << endl;
		replace(a, a + n, x, y);
	}
	return 0;
}