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 IOS ios_base::sync_with_stdio(false); cin.tie(NULL);
#define ll long long
#define vi vector< int > 
#define pii pair< int, int >
#define mii map< int , int > 
#define F(start,stop) for(int i=start; i<stop; i++)
#define FRev(start,stop) for(int i=start; i>=stop; i--)
#define MOD1 1000000007
#define MOD2 998244353


int main()
{

	#ifndef ONLINE_JUDGE
		freopen("input.txt", "r", stdin);
		freopen("output.txt", "w", stdout);
	#endif

	IOS

	ll n;
	cin >> n;
	ll map[100005] = {0};
	ll sum = 0;
	for(ll i=0; i<n; i++){
		ll temp;
		cin >>temp;
		sum += temp;
		map[temp]++;
	}


	ll q;
	cin >> q;

	while(q--){
		long long a,b;
		cin >> a >> b;
		sum = sum + map[a]*(b-a);
		map[b] += map[a]; 
		map[a] = 0;
		cout << sum << endl;
	}
}