Journey

Cossack Vus plans to travel from Kyiv to Kremenchuk. The direct train from Kyiv to Kremenchuk costs $a$ hryvnias. Alternatively, he can travel from Kyiv to Kharkiv for $b$ hryvnias and then from Kharkiv to Kremenchuk for $c$ hryvnias.

Determine the minimum cost in hryvnias that Cossack Vus needs to pay to reach Kremenchuk, considering both the direct route and the route via Kharkiv.

Input

The input consists of a single line with three integers $a$, $b$, and $c$ ($1\le a,b,c\le 100$).

Output

Output a single integer representing the minimum cost.

Examples