Final answer:
To make all the washing machines have the same number of dresses, find the machine with the most dresses and distribute the dresses evenly. The number of moves needed will be equal to the maximum difference between the number of dresses in each machine.
Step-by-step explanation:
To make all the washing machines have the same number of dresses, we need to find the machine with the most dresses and distribute the dresses evenly among all the machines. The number of moves needed will be equal to the maximum difference between the number of dresses in each machine. Let's say the array representing the number of dresses is [1, 0, 5, 2]. The maximum difference is 5 - 0 = 5, so we need at least 5 moves. We can start by passing one dress from the machine with 5 dresses to the adjacent machine with 0 dresses, resulting in the array [1, 1, 4, 2]. Then we can pass one dress from the machine with 4 dresses to the adjacent machine with 1 dress, resulting in the array [2, 2, 3, 2]. We can continue this process until all the machines have the same number of dresses.