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 Python (3.8.2) (judge verdict: Accepted)



import sys
import math
import itertools
import collections

def solve(N:int,A:list,Q:int,B:list,C:list) -> None:
    total = sum(A)
    A = [str(a) for a in A]
    counter = collections.Counter(A)
    for b,c in zip(B,C):
        number = counter[str(b)]
        total = total - (number * b) + (number * c)
        print(total)
        counter[str(b)] = 0
        counter[str(c)] += number

def main():
    N = int(input())
    A = list(map(int,input().split()))
    Q = int(input())
    B = []
    C = []
    for _ in range(Q):
        b,c = map(int,input().split())
        B.append(b)
        C.append(c)
    # solve()
    solve(N,A,Q,B,C)

if __name__ == "__main__":
    main()