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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.
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Prove the correctness of Tarjan's off-line least-common-ancestors algorithm
Tarjan's off-line least-common-ancestors algorithm is given as follows:
LCA($u$)
Make-Set($u$)
Find-Set($u$).$ancestor$ = $u$
for each child $v$ of $u$ in $T$
$\quad$ LCA($v$)
$ …