6

Part of 2002 Junior Balkan Team Selection Tests - Moldova

Problems(1)

Source: Moldova JTST 2002

Determine the smallest positive integer n for that there are positive integers

x_1, x_2,. . . , x_n

so that each natural number from 1001 to 2021 inclusive can be written as sum of one or more different terms

x_i

(i = 1, 2,..., n).