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>
using namespace std;
#define ll long long int
#define FAST_IO ios_base::sync_with_stdio(false); cin.tie(NULL);
inline void IO() {
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
}

int main(int argc, char const *argv[])
{
	//IO();
	FAST_IO
	
	int n; cin >> n;
	vector<ll> a(n);
	ll sum = 0, i = 0;
	unordered_map<ll,ll> hmap;
	for(auto &x : a) {
		cin >> x; sum += x; hmap[x]++;
	}

	int q; cin >> q;
	while(q--) {
		ll x, y; cin >> x >> y;
		if(hmap.count(y) > 0) {
			sum -= hmap[x]*x;
			sum += hmap[x]*y;
			hmap[y] += hmap[x]; hmap[x] = 0;
		}
		else {
			sum -= hmap[x]*x;
			sum += hmap[x]*y;
			hmap[y] = hmap[x]; hmap[x] = 0;
		}
		cout << sum << endl;
	}
	return 0;
}