On the Subject of Faster Cursed Vaults
Work smarter, not harder!
If you are not familiar with how the module works, please read the original manual. This manual does not support rule seeds.
In this solving method, directions will be noted down by numbers modulo 4. Adding 1 is the same as rotating a dial 90° clockwise.
For example, if 0 is North, 1 would be East.
Begin by noting down the initial state of dials.
For each dial, rotate it 3 times. Note down the state of the dials at every rotation. After you've noted down all 3 states, reset the module and continue.
Subtract each state of the dials by the initial state of dials. This way, the states will be offset such that the initial state is [0000].
Next, find all 3 target states. Subtract each state by the initial state.
The target states can all be reached by a combination of dial presses. To find the combination required to reach a state from the initial one, find 4 states from the ones you've noted down such that the sum of these states is equal to the target state. More details will be provided in the example on the next page.
After you've found all combinations, go through all of them in order to unlock the vault. Since all combinations are calculated from the initial state, to reach the 2nd and 3rd target states, take the difference of dial presses between consecutive dial combinations to form the required ones.
For example, if you need to press the top left dial 2x to reach the first state and 1x to reach the second state from the initial state, you will need to press the top left dial 3x to reach the 2nd state from the 1st, as 1 - 2 ≡ 3, modulo 4.