45. 
	
	Pentosudoku competition with triplets
	The idea comes from 
	Aad Thoen living in Amsterdam. 
	
	
	With thanks to 
	
		Aad van de Wetering 
	for 
	turning the idea into a competition. 
		
	For 
	the summer-holidays, we've got two problems, both being a lot of fun 
	according to us.
 
		
	
	Solve the top sudoku, by taking care the next conditions apply:
		◊  
	
	numbers 1 upto 9 occur once in each row and column.
		◊  
	The 
	sum of the numbers in the
		
		pentominoes 
	
	must be 25..
		◊  
	The 
	sum of the numbers in de 
	
		tetrominoes 
	
	must be 20.
		◊  
	
	Three numbers a, b and c positioned adjacent to each other as abc (either 
	horizontally, vertically or diagonally) are never allowed to form a sum a + 
	b = c (with a < b), neither a sum a = b + c (with c < b).
		
		
		
	In 
	the second sudoku the 4th condition of the previous one is replaced by:
	◊  For three numbers a, b and c positioned adjacent to each other as abc 
	(either horizontally, vertically or diagonally), (b-a) must be different 
	from (c-b). This means that combinations like 123, 963, 159, 333, 468 are 
	not allowed.
		