Competitions

# December 2 - BMTK Programming School, Small League

# Four digit Armstrong numbers

Four digit number is called Armstrong number if the sum of fourth power of its digits equals to the number. For example, **8208** = `8`

+ ^{4}`2`

+ ^{4}`0`

+ ^{4}`8`

is an Armstrong number. Print all Armstrong numbers from ^{4}**a** to **b**.

#### Input

Two integers **a** and **b** (**1000** ≤ **a** ≤ **b** ≤ **9999**).

#### Output

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

Input example #1

1000 3000

Output example #1

1634