In the 5×7 grid below there are three pawns (one white, one gray, and one black), as well as three flags of these same colors. Pawns only move one square at a time and only horizontally or vertically, never diagonally. The flags do not move.
Can you color each of the thirty-five squares on the grid white, gray, or black so that each pawn can reach its flag by passing only through the squares of its color?
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