In chess, each move of a knight consists of moving by two squares horizontally and one square vertically, or by one square horizontally and two squares vertically. A knight making one move from location (0,0) of an infinite chess board would end up at one of the follow- ing eight locations: (1,2), (-1,2), (1,-2), (-1,-2), (2,1), (-2,1), (2,-1), (-2,-1). Starting from location (0, 0), what is the minimum number of moves required for a knight to get to some other arbitrary location (x, y)? Input Each line of input contains two integers x and y, each with absolute value at most one billion. The integers designate a location (x, y) on the infinite chess board. The final line contains the word ‘END’. Output For each location in the input, output a line containing one integer, the minimum number of moves required for a knight to move from (0, 0) to (x, y). Sample Input 12 24 END Sample Output 1 2