300

Part of 1980 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 300 All Soviet Union MO 1980 integer set with min 1, max 100

Source:

A

set consists of integers only. Its minimal element is

1

and its maximal element is

100

. Every element of

A

1

equals to the sum of two (may be equal) numbers being contained in

A

. What is the least possible number of elements in

A

setinteger setminimumcombinatorics