def can_distribute_gifts(prices, fans):
    total_price = sum(prices)
    if total_price % fans != 0:
        return False

    target_price = total_price // fans
    prices.sort(reverse=True)  # 从大到小排序，有助于更快找到解

    def backtrack(start, groups):
        if start == len(prices):
            return True

        for i in range(fans):
            if groups[i] + prices[start] <= target_price:
                groups[i] += prices[start]
                if backtrack(start + 1, groups):
                    return True
                groups[i] -= prices[start]

            # 如果当前组为空，且后续的组也为空，则无需继续尝试
            if groups[i] == 0:
                break

        return False

    groups = [0] * fans
    return backtrack(0, groups)

# 示例
prices1 = [5, 4, 1, 3, 2, 3, 2]
fans1 = 4
print(can_distribute_gifts(prices1, fans1))  # 输出: True

prices2 = [1, 2, 2, 2, 2]
fans2 = 3
print(can_distribute_gifts(prices2, fans2))  # 输出: False