/// <summary>
/// Executes the provided jump on the board. Returns a new version of the board
/// that has the executed jump.
/// </summary>
/// <param name="jump">The jump to execute.</param>
/// <returns>New board with the moved pegs.</returns>
public Board ExecuteJump(Jump jump)
{
// find index of vertices
int currentIndex = Array.FindIndex(spaces, s => s.Coords == jump.Current);
int jumpedIndex = Array.FindIndex(spaces, s => s.Coords == jump.Jumped);
int targetIndex = Array.FindIndex(spaces, s => s.Coords == jump.Target);
// make sure the move is valid
Check.Require(spaces[currentIndex].HasPeg == true, "current must be space with a peg.");
Check.Require(spaces[jumpedIndex].HasPeg == true, "jumped must be space with a peg.");
Check.Require(spaces[targetIndex].HasPeg == false, "target must be an empty space.");
// make a clone of all spaces
var newSpaces = spaces.Select(s => s.Clone()).ToArray();
// perform the jump and change associated values
newSpaces[currentIndex] = newSpaces[currentIndex].SetPeg(false);
newSpaces[jumpedIndex] = newSpaces[jumpedIndex].SetPeg(false);
newSpaces[targetIndex] = newSpaces[targetIndex].SetPeg(true);
// create a new board
return new Board(newSpaces);
}