+ Time limit: 1 second + Memory limit: 256 megabytes ---------- Ahmad has recently been hired at a company whose name he does not want to disclose. He works in the packaging department, and his job is as follows: 1. A day in advance, the company gives him the number of bottles and the capacity of each one. 2. Then he is given a number $k$ and is asked to pour $k$ liters of a secret liquid into the bottles. 3. Finally, on the same day, he must send a report stating whether this volume of liquid can be poured into the bottles or not, and if it can, he must go to the company and pour the secret liquid into the bottles. Today, Ahmad received an email stating that he must start his work this Saturday and come to the company. The number and capacity of the bottles and the volume of the secret liquid were also given to him in the email, and this sentence was also mentioned: **"If you do not send the report by the end of tonight, you will be fired!"** Now Ahmad is at a crossroads: whether to participate in today's SnapTrip competition or write his report for the company. Since Ahmad is competitive, he prefers to participate in the competition and gives you the number and capacity of the bottles and the volume of the secret liquid so that you can write the report for him. You must receive the number of bottles, the capacity of each, and the volume of the liquid, and say whether this volume of liquid can be poured into the bottles or not. We also know that each bottle is initially **empty** and can store liquid up to its capacity. Note that it is not necessary for the bottles to be completely filled. # Input In the first line of input, you are given two numbers $n$ and $k$, which are the number of bottles and the volume of the secret liquid in liters, respectively. In the next $n$ lines of input, the $i$-th line contains the number $c_i$, which represents the capacity of the $i$-th bottle in liters. $$1 \le n \le 100$$ $$1 \le k \le 100\ 000$$ $$1 \le c_i \le 1\ 000$$ # Output If this volume of liquid can be poured into the bottles, print `YES`, otherwise print `NO`. # Example ## Sample Input 1 ``` 3 3 1 2 1 ``` ## Sample Output 1 ``` YES ``` Ahmad can pour 1 liter of the liquid into bottle number 1 and the remaining 2 liters into bottle number 2. ## Sample Input 2 ``` 2 5 3 1 ``` ## Sample Output 2 ``` NO ```