I am trying to design a circuit which has four switches, numbered 1-4 as in the diagram. The circuit should function such that closing switch `n` turns on light `n`. However, if `k` > `n` and both switches `k` and `n` are flipped, *only* light `k` should turn on.

I am new to electrical engineering and have used my limited knowledge to design the circuit below, which I believe accomplishes my goal. However, I was wondering if there was a more concise way to accomplish this. 

![schematic](https://i.stack.imgur.com/SZk2U.png)

[simulate this circuit](/plugins/schematics?image=http%3a%2f%2fi.stack.imgur.com%2fSZk2U.png) – Schematic created using [CircuitLab](https://www.circuitlab.com/)

Thanks!