# A Boolean Array Puzzle

Input: A array arr[] of two elements having value 0 and 1

Output: Make both elements 0.

Specifications: Following are the specifications to follow.
1) It is guaranteed that one element is 0 but we do not know its position.
2) We can’t say about another element it can be 0 or 1.
3) We can only complement array elements, no other operation like and, or, multi, division, …. etc.
4) We can’t use if, else and loop constructs.
5) Obviously, we can’t directly assign 0 to array elements.

There are several ways we can do it as we are sure that always one Zero is there. Thanks to devendraiiit for suggesting following 3 methods.

Method 1

## C++

 `#include ` `using` `namespace` `std; ` `void` `changeToZero(``int` `a)  ` `{  ` `    ``a[ a ] = a[ !a ];  ` `}  ` ` `  `// Driver code ` `int` `main()  ` `{  ` `    ``int` `a[] = {1, 0};  ` `    ``changeToZero(a);  ` `     `  `    ``cout<<``"arr = "``<

## C

 `void` `changeToZero(``int` `a) ` `{ ` `   ``a[ a ] = a[ !a ]; ` `} ` ` `  `int` `main() ` `{ ` `   ``int` `a[] = {1, 0}; ` `   ``changeToZero(a); ` ` `  `   ``printf``(``" arr = %d \n"``, a); ` `   ``printf``(``" arr = %d "``, a); ` `   ``getchar``(); ` `   ``return` `0; ` `} `

## Python3

 `# Python3 program for a  ` `# boolean array puzzle ` `def` `changeToZero(a): ` `    ``a[ a[``1``] ] ``=` `a[ ``not` `a[``1``] ] ` `    ``return` `a ` ` `  `# Driver code  ` `if` `__name__``=``=``'__main__'``: ` `    ``a ``=` `[``1``, ``0``]  ` `    ``a ``=` `changeToZero(a);  ` `     `  `    ``print``(``" arr = "` `+` `str``(a[``0``]))  ` `    ``print``(``" arr = "` `+` `str``(a[``1``]))  ` ` `  `# This code is contributed by Yash_R `

Method 2

 `void` `changeToZero(``int` `a) ` `{ ` `    ``a[ !a ] = a[ !a ] ` `} `

Method 3
This method doesn’t even need complement.

 `void` `changeToZero(``int` `a) ` `{ ` `    ``a[ a ] = a[ a ] ` `} `

Method 4
Thanks to purvi for suggesting this method.

 `void` `changeToZero(``int` `a) ` `{ ` `  ``a = a[a]; ` `  ``a = a; ` `} `

There may be many more methods.

Please write comments if you find the above codes incorrect, or find other ways to solve the same problem.

Don’t stop now and take your learning to the next level. Learn all the important concepts of Data Structures and Algorithms with the help of the most trusted course: DSA Self Paced. Become industry ready at a student-friendly price.

My Personal Notes arrow_drop_up

Improved By : rathbhupendra, Yash_R

Article Tags :
Practice Tags :

3

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.