ValleyProblem.cs

/* LINQ Puzzle #14 *******************************************************

Summary:  Given an array of integer, imagine they represent the cross section of some terrain with mountains and valleys. 
It rains a bunch, but the ground isn't porous so the water fills up every valley as much as possible. Assuming the edges of
the array are the ends of the earth and water can exit there, how much total water fills the terrain?

Sample Input:  { 4, 6, 5, 2, 0, 1, 3, 2, 4, 2 }
Sample Output:  12

************************************************************************/

var ints = new[] { 4, 6, 5, 2, 0, 1, 3, 2, 4, 2 };