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: Accepted)

import Control.Monad
import qualified Data.ByteString.Char8 as C
import Data.Function
import Data.List
import Data.Ord
import qualified Data.Sequence as Sq
import qualified Data.Vector.Unboxed as U
import qualified Data.Vector.Unboxed.Mutable as UM

r :: Int -> IO (U.Vector Int)
r n = U.unfoldrN n (C.readInt . C.dropWhile (==' ')) <$> C.getLine

r' :: IO [Int]
r'  =   unfoldr    (C.readInt . C.dropWhile (==' ')) <$> C.getLine

main = do
    n <- readLn :: IO Int
    as <- r' :: IO [Int]

    let s = sum as
    let asMapImm = U.accum (+) (U.replicate (10^5+10) 0) (zip as [1,1..]) :: U.Vector Int
    asMap <- U.thaw asMapImm

    q <- readLn :: IO Int

    (_ Sq.:<| res) <- fix (\rec n sq@(ac Sq.:|> s) -> if n == 0 then return sq else do
            [b,c] <- r'
            d <- UM.read asMap b
            v <- UM.read asMap c
            UM.write asMap b 0
            UM.write asMap c (d+v)
            let s' = s - b*d + c*d
            rec (n-1) (sq Sq.|> s')
        ) q (Sq.singleton s)
    mapM_ print res