 Why we use ^ operator | SoloLearn: Learn to code for FREE!

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# Why we use ^ operator

Arr=[1,2,1,5,5] Res=0 For i in arr: Res ^=I Print (res) Question is to find number which is only once repeated

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With integers ^ is a "bitwise exclusive or" operation (xor). The result in each bit position is 1 if bits of operands are differ in that bit position and 0 if they are the same. If you do a xor operation on two equal numbers then the result will be zero. 2^2 = 0 If you do xor operation on any number and zero then the result will be the same number. 2^0 = 2 when you do xor operation in a loop on numbers which are duplicated even number of times, they all are zero out each other: 1^2^1^5^5 = (1^2^1)^5^5 xor is commutative operation 1^2^1 is the same as 1^1^2 ==> (1^1)^2 1^1 = 0 (1^1)^2 = 0^2 = 2 ==> (1^2^1)^5^5 = 2^5^5 2^5^5 is the same as 5^5^2 ==> (5^5)^2 5^5=0 (5^5)^2 = 0^2 = 2 so the result is 2, the number that appears in the list only once

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This a quick try and not perfect. But it's doing the job: arr=[1,2,3,1,5,5,8] res = [] for i in arr: for j in arr: if i ^ j == 0: res.append(i) if len(res) == 1: print(f'number {res} appears {len(res)} x') res = [] # result is: ''' number 2 appears 1 x number 3 appears 1 x number 8 appears 1 x '''

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Thank you so much.... andriy kan For clear explanation.

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Ok tq😊

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Hima, from which approach are talking about? As we have multiple approaches here, it would be nice if you could specify it a bit. Thanks! BTW, arr[]={1,2,3,10,11} is not a valid python expression that causes a syntax error.

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Well there's a problem with your approach if the array is arr[]={1,2,3,10,11} as 3 in binary is 011 and 2 in binary is 010 outputs:1

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Lothar taking xor with every array element. It's a C/C++ style array .

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Xor operator works on bits If odd no of inputs are then the result is true otherwise false. Suppose you have two no 2 and 3 In binary , they are represented as 10 and 11 Now 10^11 2 = 10 3 = 11 01 Bit by bit manipulation takes place . That's why if there are two same no then there xor would be zero