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 Haskell (GHC 8.8.3) (judge verdict: Time Limit Exceeded)

import qualified Data.ByteString.Char8 as BS
import Data.Char
import Data.List
import qualified Data.IntMap as M

main = do
  BS.getLine
  li <- BS.getLine
  let as = unfoldr (BS.readInt . BS.dropWhile isSpace) li
  BS.getLine
  co <- BS.getContents
  let bcs = map (l2p . unfoldr (BS.readInt . BS.dropWhile isSpace)) $ BS.lines co
  let ans = compute as bcs
  mapM_ print ans

l2p [b,c] = (b,c)

compute :: [Int] -> [(Int,Int)] -> [Int]
compute as bcs = map snd $ tail $ scanl step (am, total am) bcs
  where
    am = M.fromListWith (+) [ (a,1) | a <- as ]

step :: (M.IntMap Int, Int) -> (Int,Int) -> (M.IntMap Int, Int)
step (am, sum0) (b,c) = (M.mapKeysWith (+) f am, sum1)
  where
    f k = if k == b then c else k
    sum1 = case M.lookup b am of
      Just n  -> sum0 + n * (c - b)
      Nothing -> sum0

total :: M.IntMap Int -> Int
total am = M.foldrWithKey' f 0 am
  where
    f k n acc = k*n + acc