Competitions

# December 2 - BMTK Programming School, Small League

# Three digit Armstrong numbers

Three digit number is called Armstrong number if the sum of cubes of its digits equals to the number. For example, **153** = `1`

+ ^{3}`5`

+ ^{3}`3`

is an Armstrong number. Print all Armstrong numbers from ^{3}**a** to **b**.

#### Input

Two integers **a** and **b** (**100** ≤ **a** ≤ **b** ≤ **999**).

#### Output

Print in one line all Armstrong numbers from **a** to **b**.

Input example #1

100 400

Output example #1

153 370 371