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;

using i64 = long long;
using P = pair<i64, i64>;

#define overload3(_1, _2, _3, name, ...) name
#define rep1(i, n) for(i64 i = 0LL; i < (n); ++i)
#define rep2(i, a, b) for(i64 i = (a); i < (b); ++i)
#define rep(...) overload3(__VA_ARGS__, rep2, rep1)(__VA_ARGS__)
#define all(v) v.begin(), v.end()


void solve(long long N, std::vector<long long> A, long long Q, std::vector<long long> B, std::vector<long long> C){
    vector<i64> table(100010);
    rep(i, N) table[A[i]]++;
    i64 s = 0;
    rep(i, 100010) s += i * table[i];
    rep(i, Q){
        s += table[B[i]] * (C[i] - B[i]);
        table[C[i]] += table[B[i]];
        table[B[i]] = 0;
        cout << s << endl;
    }
}

struct IoSetup {
    IoSetup() {
        // cin.tie(nullptr);
        // ios::sync_with_stdio(false);
        cout << fixed << setprecision(10);
        cerr << fixed << setprecision(10);
    }
} iosetup;

int main(){
    long long N;
    scanf("%lld",&N);
    std::vector<long long> A(N);
    for(int i = 0 ; i < N ; i++){
        scanf("%lld",&A[i]);
    }
    long long Q;
    scanf("%lld",&Q);
    std::vector<long long> B(Q);
    std::vector<long long> C(Q);
    for(int i = 0 ; i < Q ; i++){
        scanf("%lld",&B[i]);
        scanf("%lld",&C[i]);
    }
    solve(N, std::move(A), Q, std::move(B), std::move(C));
    return 0;
}