"Smallest?"

The ceiling of a real number $~$x,$~$ denoted $~$\\lceil x \\rceil$~$ or sometimes $~$\\operatorname{ceil}(x),$~$ is the first integer $~$n \\ge x.$~$ For example, $~$\\lceil 3.72 \\rceil \= 4, \\lceil 4 \\rceil \= 4,$~$ and $~$\\lceil -3.72 \\rceil \= -3.$~$ In other words, the ceiling function rounds its input up to the nearest integer\.

Smallest?