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3. 51082 - Sum is equal to K - 1

CEN254 Final Exam

Start: June.23.2017 at 12:25:00 PM
Finish: June.23.2017 at 01:25:00 PM
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• 1. 51142 - Jump Min Value
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• 3. 51082 - Sum is equal to K - 1
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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Question by Ibrahim Mesecan.

Sum is equal to K - 1

Math professor of your brother gave a homework for kids. The professor gives n numbers, and he asks if number k can be produced by adding or subtracting any given number.

Question: Write a program that is going to get information and decide if it's possible to calculate the given number k or not.

Input specification
In the first line, you will be given two integers: The number of numbers(n) and the number (k) to calculate where 0 ≤ n ≤ 17 and -20,000 ≤ k ≤ 20,000. Then, in the following line, you will be given n integers where each number is between -10,000 and 10,000.

Output specification:
Show "No", if it is not possible to calculate k. Otherwise, show "Yes". Note: Each input number can be used only once.

Sample Input I
4 7
1 2 3 5
Sample Input II
4 8
1 2 3 10
Sample Output I
Yes
Sample Output II
Yes

Explanation: For sample input 1: 5 + 2 = 7 or 5 + 3 - 1 = 7
For sample input 2: 10 - 2 = 8 or 10 - 3 + 1 = 8



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