1. You have 8 marbles, 7 of them weigh the same and one of them weighs different. You also have a balance scale. Within 2 weighings, how do you figure out which one is the weird one and whether it is heavier or lighter than one of the other 7?

2. You have a string-like fuse that burns in exactly one minute. The fuse is inhomogeneous, and it may burn slowly at first, then quickly, then slowly, and so on. You have a match, and NO watch. How do you measure exactly 30 seconds?