LogiQuest

453. Can Place Flowers

EasyGreedy

A flowerbed is 0 (empty) and 1 (planted); flowers cannot be adjacent. Print YES if k new flowers can be planted, else NO.

Input format

Line 1: n k Line 2: n bits

Output format

YES or NO

Example 1

Input

5 1
1 0 0 0 1

Output

YES

Example 2

Input

5 2
1 0 0 0 1

Output

NO

Constraints

1 ≤ n ≤ 2 × 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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