## Hamming 7 4

Statement
In a word, error correcting code are about adding bits to some bit of data in a way that if one gets changed, it is possible to know which one and fix it. In this one, you are given 7 bits, [[c]],[[b]],[[bc]],[[a]],[[ac]],[[ab]], and [[abc]]. You first have to check if the sum of the 4 bits containing a same char are even (for exemple a, ab, ac, and abc). Do it for each char If all the three sum are even, there are no mistake ! Otherwise, one and only one bit has been corrupted, and you have to spot which one and change it in order to make the 3 sum even.

Input description
[[c]],[[b]],[[bc]],[[a]],[[ac]],[[ab]], and [[abc]], 7 binary digits

Output description
[[c]],[[b]],[[bc]],[[a]],[[ac]],[[ab]], and [[abc]], fixed if one bit was corrupted.

Constraints
There is 0 or 1 bit corrupted in the input.

Game modes

Test cases
No mistake Test
Input
0 0 1 0 1 1 0
Output
0 0 1 0 1 1 0

Validator 1 Validator
Input
1 1 0 1 0 0 1
Output
1 1 0 1 0 0 1

Test 2 Test
Input
1 0 1 0 1 1 0
Output
0 0 1 0 1 1 0

Validator 2 Validator
Input
1 0 1 1 0 0 1
Output
0 0 1 1 0 0 1

Test 3 Test
Input
1 1 0 1 1 1 1
Output
1 1 1 1 1 1 1

Validator 3 Validator
Input
1 1 0 1 0 1 1
Output
1 1 0 1 0 0 1

Test 4 Test
Input
1 1 1 1 1 1 0
Output
1 1 1 1 1 1 1

Validator 4 Validator
Input
0 1 0 1 0 1 1
Output
0 1 0 1 0 1 0

Solution language

Solution

Stub generator input
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