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 <iostream>
#include <bits/stdc++.h>
using namespace std;

#define debug(x) cout << '>' << #x << ':' << x << endl;
#define loop0(i,n) for(int i=0; i<(n); i++)
#define loop1(i,n) for(int i=1; i<=(n); i++)
#define fori(a,b,i) for(int i=(a); i<=(b); i++)
#define ford(a,b,i) for(int i=(a); i>=(b); i--)
#define fast_io ios_base::sync_with_stdio(false), cin.tie(NULL)
#define ign cin.ignore(numeric_limits<streamsize>::max(),'\n')

#define INF 0x3f3f3f3f
#define PI 3.1415926535897932384626433832795
#define MOD 1000000007
#define endl "\n"
#define fir first
#define sec second
#define pb push_back
#define mp make_pair

typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef map<int,int> MII;
typedef map<int,int> MCI;
typedef unordered_map<int,int> UMII;
typedef unordered_map<char,int> UMCI;
typedef set<int> SI;
typedef long long int llint;


int main() {
    fast_io;
	llint n;
	cin >> n;
	vector<llint> v(n);
	unordered_map<llint, llint> m; 
	for(auto &i : v) cin >> i;
  llint sum=0;
	for (llint i = 0; i < n; i++) m[v[i]]++,sum+=v[i];
	llint q;
	cin >> q;
	
	for(llint i = 0; i < q; i++){
		llint a,b;
		cin >> a >> b ;
		
		sum -= (1LL*a*m[a]);
        sum+=(1LL*b*m[a]);
		
		m[b] += m[a];
		
		m[a] = 0;

		cout << sum << endl;		
	}
	
}