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 Rust (1.42.0) (judge verdict: Accepted)

use proconio::{input, fastout};
use std::collections::HashMap;

#[fastout]
fn main() {
    input! {
        n: usize,
        mut a: [usize; n],
        q: usize,
        bc: [(usize, usize); q]
    }
    let mut temp_sum = 0;
    let mut elem_dict = HashMap::new();
    for &a_i in a.iter() {
        temp_sum += a_i;
        (*elem_dict.entry(a_i).or_insert(0)) += 1;
    }

    let mut s = Vec::<usize>::new();
    for (b_i, c_i) in bc {
        if let Some(&i) = elem_dict.get(&b_i) {
            // $B"-(B $B$@$H(B usize $B$,%^%$%J%9$K$J$jF@$k$N$G(B panic $B$9$k(B
            // temp_sum += (c_i - b_i) * i;
            temp_sum -= b_i * i;
            temp_sum += c_i * i;
            (*elem_dict.entry(c_i).or_insert(0)) += i;
            elem_dict.insert(b_i, 0);
        }
        s.push(temp_sum);
    }

    for s_i in s {
        println!("{}", s_i);
    }
}