616. Jump Game

0

Medium

Given an array of integers called nums, you start at the first index of the array. Each element in the array represents the maximum number of steps you can take from that position. Determine if it is possible to reach the last index of the array.

Input Format

The first line of input contains the size of the array. The second line of input contains the elements of the array.

Output Format

Print True if it is possible to reach the last index, and False otherwise.

Example

Input

5 2 3 1 1 4

Output

True

Constraints

1 <= nums.length <= 10^4 0 <= nums[i] <= 10^5
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