Chef loves to play the computer game "Snake Snaky". In this game the player controls a long thin creature, resembling a snake that crawls on the rectangular field with width N and height M surrounded by walls. Snake itself consists of L links each of which occupies one cell of the field. Any two consecutive links of the snake must be in adjacent cells of the field and the snake should not have self-intersections (i.e. no two links of the snake can not be located in the same cell).