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Although both problems only involve two processes, their solutions require rather complex algorithms (Dekker's algorithm, Lamport's bakery algorithm).
Lamport's bakery algorithm is one of many mutual exclusion algorithms designed to prevent concurrent threads entering critical sections of code concurrently to eliminate the risk of data corruption.
Lamport's bakery algorithm is a computer algorithm devised by computer scientist Leslie Lamport, which is intended to improve the safety in the usage of shared resources among multiple threads by means of mutual exclusion.