Gallery

Cossack Vus works in a gallery, and he was given the task of building the highest tower of vases possible.

He has three vases with heights $a$, $b$, $c$. However, unfortunately, if three vases are placed on top of each other, the structure will quickly break. Cossack can only choose two vases and place them on top of each other. He wants to get the highest composition of vases.

Find the maximum height he can reach.

Input

The first line contains three integers $a$, $b$, $c$ ($1\le a,b,c\le 10^8$).

Output

Output the maximum height of the composition that satisfies the condition.

Examples

Note

In the first example, we can take the first and second vases. The height of the composition will be $7+4=11$.

In the second example, we can take the second and third vases. The height of the composition will be $2+6=8$. You can also take the first vase instead of the second.