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(a/b) * b + a%b shall equal a

1. 5 % 2

      $(\frac{5}{2}) \times$  2 + 5%2 = 5

      5%2 = 5 - 4

       5%2 = 1  

2) -5 % 2

     $(\frac{-5}{2}) \times$ 2 + -5%2 = -5

      -2 * 2 + -5%2 = -5

      -5%2 = -5 + 4

       -5%2 = -1

3) 5%-2

   $(\frac{5}{-2}) \times$ -2 + 5%-2 = 5

     -2 * -2 + 5%-2 = 5

     5%-2 = 1

4) -5%-2

    $(\frac{-5}{-2}) \times$(-2) + -5%-2 = -5

    2 * -2 + -5%-2 = -5

     -5%-2  = -5 +4 

     -5 %-2 = -1

5) 2%5 = 2

 

Output : 1, -1, 1, -1, 2

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