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NxM ... |-8 -3 2 1 -4 ... a>| 0 8 4 0 0 ...
My starting position is (a,a) = 0 My end position is (b,b) = 10
pathA: left, up, left, left, up = 0+0+1+2+(-3)+10 = 10 pathB: left-slide + up-slide = 0+8+10 = 18 pathC: up-slide + left + up + left-slide+down = 0+3+0+17+3+10= 33 etc..