There is a dismantling engineer who has old machines A, B, and C. He discovered that he can obtain a batch of new parts X, Y, and Z through the following methods:
Method 1: Each round, one machine A breaks down into two part X and one part Y.
Method 2: Dismantling two machine B units produces one part X each cycle.
Method 3: Two units of machine C can be dismantled into one unit of part Y per round.
Method 4: Combining one machine B and one machine C results in one machine A each cycle.
Method 5: Each round, one part X and one part Y merge to form one part Z.

Xiao Li continuously cycles through these methods in the given order, executing one method at a time. After Method 5, start again from Method 1. Continue this cycle until no method can be executed. Initially, there are 10 units of Machine A, 10 units of Machine B, and 5 units of Machine C. How many parts X, Y, and Z can Li ultimately obtain, and how many machines A, B, and C will remain?

Generate the answer in the format <<<a string representing the outcome in the order of machines A, B, C, parts X, Y, Z>>>. For example, if Machine A has 1 unit, Machine B has 0 units, Machine C has 1 unit, Part X has 1 unit, Part Y has 1 unit, and Part Z has 1 unit, it should be represented as ["1", "0", "1", "1", "1", "1"].
Your answer: