#K72932. Even-Odd Array Checker

    ID: 33863 Type: Default 1000ms 256MiB

Even-Odd Array Checker

Even-Odd Array Checker

Given an array of integers, determine whether it is an Even-Odd Array. An array is considered an Even-Odd Array if:

  • The array is non-empty.
  • For every even-indexed position (where index is 0-based), the element is even, i.e., \(A[i] \mod 2 = 0\).
  • For every odd-indexed position, the element is odd, i.e., \(A[i] \mod 2 = 1\).

If the array meets all the above conditions, output True, otherwise output False.

inputFormat

The input is given via standard input (stdin) and has the following format:

n
a1 a2 a3 ... an

Here, n is the number of elements in the array and a1, a2, ..., an are the integer elements of the array.

outputFormat

Output a single line to standard output (stdout) containing either True or False depending on whether the array is an Even-Odd Array.

## sample
6
2 1 4 3 6 5
True