SENSOR FUSION LAYER

Difficulty: Easy Tags: Neural Networks

Story

A single linear layer fuses concatenated radar and camera features before Tesla's perception stack does anything more sophisticated: the "hello world" layer of the whole pipeline, but it has to be bit-exact.

The Math

y = W x + b

Input Format

d_in d_out
W (d_out x d_in, row-major)
b (d_out values)
x (d_in values)

Output Format

y, d_out values, 6 decimals.

Constraints

• 1 <= d_in, d_out <= 256
• Time limit: 1.0 second.

Example

Input

3 2
1 0 1
0 1 1
0.5 -0.5
1 2 3

Output

4.500000 4.500000