Bouquet of Flowers for Juniors#11113

Bouquet of Flowers for Juniors

1 second

128 megabytes

Very easy

Since today is March 8th, you will be preparing a bouquet of flowers. There are two kinds of flowers in your store. White and red flowers. Each bouquet must consist of $3$ flowers, and the bouquet must contain both types of flowers.

If your store has $n$ white and $m$ red flowers, what is the maximum number of bouquets you can make?

Input

Two integers $n$ and $m$ $(0 \leq n, m \leq 5 \cdot 1 0^{5})$ (0 ≤ n, m ≤ 5 \cdot 10^5).

Output

Print the maximum number of bouquets you can make.

Examples

Example 1

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(0 \leq n, m \leq 5 \cdot 1 0^{5})