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;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    std::map <long long, int> mp;

    int n;
    std::cin >> n;
    long long sum = 0;
    for (int i = 0; i < n; ++i) {
        long long x;
        std::cin >> x;
        ++mp[x];
        sum += x;
    }

    int q;
    std::cin >> q;

    for (int i = 0; i < q; ++i) {
        int a, b;
        std::cin >> a >> b;
        auto it = mp.find(a);
        if (it != mp.cend()) {
            sum += (b - it -> first) * it -> second;
            int cnt = it -> second;
            mp.erase(a);
            auto it_s = mp.find(b);
            if (it_s != mp.cend()) {
                mp[b] += cnt;
            } else {
                mp[b] = cnt;
            }
        }

        std::cout << sum << '\n';
    }

    return 0;
}