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If it helps, my thought process went like this:

- Pick up a block. Put it in the box and find a possible position.

- Select the next block. Check if it has any conditions linked to the blocks already placed.

- Place next block. Repeat with the rest of the blocks.

- If a solution can't be found, remove and try placing 1-2 blocks in a different place.

For that last step, I expected to be able to remove one block and check the conditions on the rest of the blocks to find the next possible spot but instead I had to remove ALL the blocks to recheck conditions if I hadn't memorized them first.