Problem:
Score : 200 points

Problem Statement

Rng is preparing a problem set for a qualification round of CODEFESTIVAL.

He has N candidates of problems. The difficulty of the i-th candidate is D_i.

There must be M problems in the problem set, and the difficulty of the i-th problem must be T_i. Here, one candidate of a problem cannot be used as multiple problems.

Determine whether Rng can complete the problem set without creating new candidates of problems.

Constraints

1 \leq N \leq 200,000

1 \leq D_i \leq 10^9

1 \leq M \leq 200,000

1 \leq T_i \leq 10^9

All numbers in the input are integers.

Partial Score

100 points will be awarded for passing the test set satisfying N \leq 100 and M \leq 100.

Input

Input is given from Standard Input in the following format:

N
D_1 D_2 ... D_N
M
T_1 T_2 ... T_M

Output

Print YES if Rng can complete the problem set without creating new candidates of problems; print NO if he cannot.

Sample Input 1

5
3 1 4 1 5
3
5 4 3

Sample Output 1

YES

Sample Input 2

7
100 200 500 700 1200 1600 2000
6
100 200 500 700 1600 1600

Sample Output 2

NO

Not enough 1600s.

Sample Input 3

1
800
5
100 100 100 100 100

Sample Output 3

NO

Sample Input 4

15
1 2 2 3 3 3 4 4 4 4 5 5 5 5 5
9
5 4 3 2 1 2 3 4 5

Sample Output 4

YES

Solution in Haskell (GHC 7.10.3) (judge verdict: Time Limit Exceeded)

import qualified Data.Map.Strict as Map


solver::Map.Map Int Int -> [Int] -> Bool
solver m [] = True
solver m (y:ys) = if Map.member y m then
                        case (Map.!) m y of
                          0 -> False
                          1 -> solver (Map.delete y m) ys
                          n -> solver (Map.adjust (\ l -> l-1) y m) ys
                                else False

createmap::[Int]->Map.Map Int Int
createmap [] = Map.empty
createmap (x:xs) = let rest = createmap xs in
                    if Map.member x rest then Map.adjust (\ l -> l+1 ) x rest
                                         else Map.insert x 1 rest

main::IO()
main=do
  _<-getLine
  prop<-getLine
  let set = createmap (map read (words prop))
  _<-getLine
  need<-getLine
  let q = map read (words need)
  putStr (if solver set q then "YES\n" else "NO\n")