# 5. Clone 1

From 125 sugar cubes, a cube of $5 \times 5 \times 5$ was formed. Donut selected all the cubes that have an odd number of neighbors and ate them (neighbors are those cubes that share a common face). How many cubes did Donut eat in total?
# Answer: 62

## Solution

Consider the possible cases of the cube's placement inside the larger cube: