Five Stages Later

A colour photograph enters a network as a $64 \times 64 \times 3$ block and passes through five stages in order.

stage	operation
1	convolution — $3 \times 3$ kernel, 16 filters, stride 1, padding 1
2	max pooling — $2 \times 2$ window, stride 2
3	convolution — $5 \times 5$ kernel, 32 filters, stride 1, no padding
4	max pooling — $2 \times 2$ window, stride 2
5	convolution — $3 \times 3$ kernel, 64 filters, stride 2, no padding

"Padding 1" means a one-pixel border of zeros is added to every side before the window starts moving. In every stage the window only ever stops where it fits completely inside the grid it is given.

How many individual numbers are in the block that comes out of stage 5?

That is width $\times$ height $\times$ depth. Give the exact integer.

Five Stages Later

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