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What is the smallest perfect square that ends with the four digits 9009?

Colour Islands Sudoku 2

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

By Henry Kwok

Rules of Colour Islands Sudoku

As in a standard Sudoku, the object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 so that each row, each column, and each of the nine 3x3 boxes must contain all the nine different numbers 1 through 9.

There are three coloured "islands" in the 9x9 grid. Within each 'island' there is an extra rule to apply:
  • EVERY group of nine cells that form a 3x3 square within each 'island' must contain the numbers 1 through 9.
For example, take the cell r6c8 which contains the number 9 as the centre of a 3x3 square within the pink 'island'. The eight surrounding cells (r5c7, r5c8, r5c9, r6c7, r6c9, r7c7, r7c8 and r7c9) must contain all the remaining eight digits.