442

Part of 1987 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 442 All Soviet Union MO 1987 6 weighs to scale 1 to 63

Source:

It is known that, having

6

weighs, it is possible to balance the scales with loads, which weights are successing natural numbers from

1

63

. Find all such sets of weighs.

weighingscombinatoricsalgebra