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 ff first
#define ss second
#define pb push_back
typedef long long ll;
#define db(x) cerr<<__LINE__<<": "<<#x<<" = "<<(x)<<'\n'
const int inf = 1e9+7;
const int N = 1e6+9;

void solve() {
    int a, b, n, m;
    cin>>n;
    ll s=0;
    map<ll, ll> mp;
    for(int i=0;i<n;++i) {
        cin>>a;
        mp[a]++;
        s+=a;
    }
    cin>>m;
    while(m--) {
        cin>>a>>b;
        ll x = mp[a];
        mp[a]=0;
        mp[b]+=x;

        ll p = x*a;
        ll q = x*b;
        if(b>=a) {
            ll d = b-a;
            s += x*d;
        }
        else {
            ll d = a-b;
            s -= x*d;
        }
        cout<<s<<endl;
    }
}
int main() {
    ios_base::sync_with_stdio(0);
    int T=1 ,cas=0;
    while(T--) {
        solve();
    }
    return 0;
}