Prime & Composite Token Matrix

Given an integer N, generate an N x N matrix numbered from 1 to N² row-wise. Replace every prime number with "P", every composite even number with "E", and every composite odd number with "O". Replace 1 with "#". Output space-separated tokens.

Input Format

A single integer N.

Output Format

Print N rows with the substituted tokens.

Constraints:1 <= N <= 10

Concepts Required:

Primality testing O(sqrt(X))Multi-condition categorization (Prime, Even, Odd, Unit)Grid string substitution

Expected Pattern PreviewASCII Monospace

N=3 (1 to 9):
# P P
E P E
P E O

Notice how character spacing and row counts scale systematically based on the input N.

Concrete Examples

Example 1

Input:

Output:

# P P
E P E
P E O

Explanation: 1->#, 2->P, 3->P, 4->E, 5->P, 6->E, 7->P, 8->E, 9->O.

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