MinimizeExpression

Problem Statement

Find the minimum value of the expression.

Definition

Class:

MinimizeExpression

Method:

findMinimum

Parameters:

int, int, int, int, int, int, int, int, int, long

Returns:

double

Method signature:

double findMinimum(int n1, int m1, int n2, int m2, int n3, int m3, int a, int b, int c, long s)

(be sure your method is public)

Notes

• Any return within 1e-6 absolute or relative error is considered correct.

Constraints

• 1 ≤ n1,m1,n2,m2,n3,m3,a,b,c ≤ 100
• 1 ≤ s ≤ 1018.

Examples

1. 1

   1

   1

   1

   1

   1

   1

   1

   1

   1

   Returns: 2.999999999999999

   The expression here is : xy + yz + zx , given xyz = 1. The expression achieves minimum value at x=y=z=1 which is 3.

2. 8

   37

   42

   33

   19

   85

   29

   98

   58

   87674775698767950

   Returns: 4749637.019215662

   The minimum value in this case is 4749637.0192156653 .