Some apples and pears from Carrefour fruit supermarket were put in a basket. The aunt of the saleswoman divided the basket into several piles, and later found that no matter how they were divided, You can always find two piles of fruits from these piles. After combining the two piles of fruits, the number of apples and pears is even. How many piles does the aunt of the shop assistant at least divide these fruits into

Some apples and pears from Carrefour fruit supermarket were put in a basket. The aunt of the saleswoman divided the basket into several piles, and later found that no matter how they were divided, You can always find two piles of fruits from these piles. After combining the two piles of fruits, the number of apples and pears is even. How many piles does the aunt of the shop assistant at least divide these fruits into

For each pile of apples and pears, there are four kinds of parity possibilities: (odd, odd), (odd, even), (even, odd), (even, even). Therefore, according to the drawer principle, at least 4 + 1 = 5 baskets are divided