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 OCaml (4.10.0) (judge verdict: Accepted)

open Batteries
let n = read_int ()
let a = read_line () |> String.split_on_char ' ' |> List.map int_of_string
let q = read_int ()

let dp = Array.init 100010 @@ fun _ -> 0
let rec dp_loop lst result =
  match lst with
  | [] -> result
  | first :: rest -> dp.(first) <- dp.(first)+1; dp_loop rest (result+first)
let all = dp_loop a 0

let rec q_loop i now_all =
  if i >= q then () else (
    Scanf.sscanf (read_line()) "%d %d" (fun b c -> 
    let new_all = (now_all - (dp.(b)*b) - (dp.(c)*c) + ((dp.(b)+dp.(c))*c)) in
      Printf.printf "%d\n" new_all;
      (* Printf.printf "dp(b)*b: %d, dp(b): %d\n" (dp.(b)*b) (dp.(b));
      Printf.printf "dp(c)*c: %d, dp(c): %d\n" (dp.(c)*c) dp.(c); *)
      dp.(c) <- dp.(c) + dp.(b);
      dp.(b) <- 0;
      q_loop (i+1) new_all
    )
  )

let _ = q_loop 0 all