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A left ceiling bracket delimiter that rounds a number or expression upward to the nearest integer.

\lceil image

Examples

Ceiling function (next highest integer)

\lceil 3.14 \rceil = 4

Number of groups needed

\text{Groups needed} = \left\lceil \frac{n}{k} \right\rceil

Logarithmic complexity bound

\text{Time} = \left\lceil \log_2(n) \right\rceil