Three digit Armstrong numbers#8641

Three digit Armstrong numbers

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Very easy

Three digit number is called Armstrong number if the sum of cubes of its digits equals to the number. For example, $153 = 1^{3} + 5^{3} + 3^{3}$ 153 = 1^3 + 5^3 + 3^3 is an Armstrong number. Print all Armstrong numbers from $a$ to $b$ .

Input

Two integers $a$ and $b$ ( $100 \leq a \leq b \leq 999$ 100 \leq a \leq b \leq 999).

Output

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

Examples

Example 1

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153 = 1^{3} + 5^{3} + 3^{3}

100 \leq a \leq b \leq 999