There are n binary levers: each lever can be in position 0 or position 1.
Exactly one out of 2n possible combinations of levers opens the lock.
The lock opens immediately as soon as each lever is in proper position.
Changing position of one lever is called a move.
Suppose all levers are initially in position 0.
What is the minimal number of moves that guarantees opening the lock?
In other words: how many moves are required to test each position of levers (the worst case scenario)?
Can you also describe the optimal procedure of moving the levers?
There are n binary levers: each lever can be in position 0 or position 1.
Exactly one out of 2n possible combinations of levers opens the lock.
The lock opens immediately as soon as each lever is in proper position.
Changing position of one lever is called a move.
Suppose all levers are initially in position 0.
What is the minimal number of moves that guarantees opening the lock?
In other words: how many moves are required to test each position of levers (the worst case scenario)?
Can you also describe the optimal procedure of moving the levers?
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