Here is a silly game which is only four megabytes and takes about sixty seconds to fully complete and is free http://jonathanwhiting.com/ld/37/
The solution to the first level is FFFFFFFRFFFFLFFRFFFFRFFFFRFFLFFF (32 moves), plus FFFB to position yourself to solve the next level
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To solve the next level, replace "F", "R", "L" and "B" with "FB", "RFBL", "LFBR" and "BF" respectively. Repeat for each level of nesting
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Moves to solve each level: 1: 32 (+4 to set up next) 2: 76 + 8 3: 176 + 16 4: 400 + 32 5: 896 + 64 6: 1984 Total: 3688
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