CF862C Mahmoud and Ehab and the xor

Mahmoud and Ehab are on the third stage of their adventures now. As you know, Dr. Evil likes sets. This time he won't show them any set from his large collection, but will ask them to create a new set to replenish his beautiful collection of sets. Dr. Evil has his favorite evil integer $ x $ . He asks Mahmoud and Ehab to find a set of $ n $ distinct non-negative integers such the bitwise-xor sum of the integers in it is exactly $ x $ . Dr. Evil doesn't like big numbers, so any number in the set shouldn't be greater than $ 10^{6} $ .

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You can read more about the bitwise-xor operation here: [https://en.wikipedia.org/wiki/Bitwise\_operation#XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) For the first sample . For the second sample .