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All Odd/Even Sudoku (125)

Instruction:
Apply Classic Sudoku rules. Additionally, within each region, the digits in the grey cells are either all odd or all even.

Reference: WPF (1)

Examples:
WPF Sudoku GP 2015 - Round 1 (13)
Parent puzzle:
Odd/Even Sudoku

Child puzzles:
Parity Sudoku