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 Rust (1.15.1) (judge verdict: Accepted)

use std::io::{stdin, Read};
use std::str::FromStr;
use std::collections::HashSet;

fn read<T: FromStr>() -> Option<T> {
    let stdin = stdin();
    let s = stdin
        .bytes()
        .map(|c| c.unwrap() as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect::<String>();
    s.parse::<T>().ok()
}
 
fn main() {
    let n: usize = read().unwrap();
    let mut d: Vec<u64> = Vec::new();
 
    for _i in 0..n {
        let x: u64 = read().unwrap();
        d.push(x);
    }
    d.sort();

    let m: usize = read().unwrap();
    let mut t: Vec<u64> = Vec::new();
 
    for _i in 0..m {
        let x: u64 = read().unwrap();
        t.push(x);
    }
    t.sort();

    let mut used_d: HashSet<usize> = HashSet::new();

    let mut i: usize = 0;
    for x in &t {
        while i < n && d[i] < *x {
            i += 1;
        }
        if i < n && d[i] == *x {
            used_d.insert(i);
            i += 1;
            continue;
        } else { // i >= n or x < d[i]
            break;
        }
    }
    if used_d.len() == m {
        println!("YES");
    } else {
        println!("NO");
    }
}