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;
use std::collections::BTreeMap;


fn main() {
    input! {
        n: usize,
        v: [usize; n], // v_1 v_2 ... v_n
        q: usize,
        mat: [(usize,usize); q], // n*m行列
    }

    let mut map = BTreeMap::new();
    for &x in v.iter() {
        *map.entry(x).or_insert(0) += 1;
    }

    let mut sum = 0;
    for &x in v.iter() {
        sum += x;
    }

    for &(b,c) in mat.iter() {
        if let Some(&kosu) = map.get(&b) {
            if let Some(&kos) = map.get(&c) {
                map.insert(c,kosu+kos);
                map.remove(&b);
                sum += c*kosu;
                sum -= b*kosu;
            } else {
                map.insert(c,kosu);
                map.remove(&b);
                sum += c*kosu;
                sum -= b*kosu;
            }
        }
        println!("{}",sum)
    }

}