Problem:
Score : 200 points

Problem Statement

There are N children, numbered 1, 2, ..., N.

Snuke has decided to distribute x sweets among them.
He needs to give out all the x sweets, but some of the children may get zero sweets.

For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets.
Snuke is trying to maximize the number of happy children by optimally distributing the sweets.
Find the maximum possible number of happy children.

Constraints

All values in input are integers.

2 \leq N \leq 100

1 \leq x \leq 10^9

1 \leq a_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N x
a_1 a_2 ... a_N

Output

Print the maximum possible number of happy children.

Sample Input 1

3 70
20 30 10

Sample Output 1

2

One optimal way to distribute sweets is (20, 30, 20).

Sample Input 2

3 10
20 30 10

Sample Output 2

1

The optimal way to distribute sweets is (0, 0, 10).

Sample Input 3

4 1111
1 10 100 1000

Sample Output 3

4

The optimal way to distribute sweets is (1, 10, 100, 1000).

Sample Input 4

2 10
20 20

Sample Output 4

0

No children will be happy, no matter how the sweets are distributed.

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

use std::io;
fn read_line() -> String {
    let mut line = String::new();

    io::stdin().read_line(&mut line)
        .expect("Failed to read line");
    return line;
}
fn to_i(s: &str) -> i32 {
    return s.trim().parse()
        .expect("Please type a number!");
}


fn check(index :u32, flags: &mut Vec<bool>, nums: &mut Vec<i32>, val: i32,  s: i32, count:i32) -> i32 {
    let limit = (nums.len()-1) as u32;
    if index>limit {
        let  sum = s;
       
        //println!("nums:{:?} flags:{:?} {} {} {}", nums, flags, count, val ,sum);
        if sum == val {
            return count;
        } else if sum < val {
            if count ==0 {
                return 0;
            }
            return count-1;
        }
        return 0;
    } else {
        
    }
    if s == val {
        return count;
    }
    
    let mut calc1 = true;
    let mut calc2 = true;
    let mut c1 = 0;
    let mut c2 = 0;

    let mut max_v = s;
    for i in index+1..(nums.len() as u32) {
        max_v += nums[i as usize];
    }
    if max_v < val {
        calc1 = false;
    }
    if calc1 {
        flags[index as usize] = false;
        c1 = check(index+1, flags, nums, val, s, count);
    }

    let  s2 = s + nums[index as usize];
    if s2 > val {
        //println!("= {} nums:{:?} flags:{:?} {} {} {} {} ", index, nums, flags, count, val ,s, s2);
            
        calc2 = false;
    }

    if calc2 {
        flags[index as usize] = true;
        c2 = check(index+1, flags, nums, val, s2, count+1);
    }

    

    
    /*
    if s2==val {
        //println!("= {} nums:{:?} flags:{:?} {} {} {}", index, nums, flags, count, val ,s);
        c2 = count+1;
    //} else if s2 > val {
    //    c2 = count ;
        //println!("> {} nums:{:?} flags:{:?} {} {} {}", index, nums, flags, count, val ,s);
        
    } else {
        c2 = check(index+1, flags, nums, val, s2, count+1);
    }
*/

    if calc1 && calc2 {
        if c1>c2 {
            return c1;
        }else {
            return c2;
        }
    }

    if calc1 && !calc2 {
        return c1;
    }
    if !calc1 && calc2 {
        return c2;
    }
    
    
    if s == val {
            return count;
        } else if s < val {
            if count ==0 {
                return 0;
            }
            return count-1;
        }
        return 0;
}
fn main() {

    let l1 = read_line();
    
    let nx: Vec<&str> = l1.split(' ').collect();

    let _n: i32 = to_i(nx[0]);
    let x: i32 = to_i(nx[1]);

    let l2 = read_line();
    

    let items: Vec<&str> = l2.split(' ').collect();
    //println!("items:{:?}", items);

    let mut nums: Vec<i32> = Vec::new();

    for item in items {
        nums.push(to_i(item));
    }

    let mut flags: Vec<bool> = Vec::new();
    for i in 0..nums.len() {
        flags.push(false);
    }
    let count = check(0, &mut flags, &mut nums, x, 0, 0);


    print!("{}", count);


}