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SYAAHI / REVISION NOTES01

Binary search: halve the work

Search a sorted list by comparing the target with its middle item and keeping only the possible half.

01 / Start sorted

The ordering lets you decide which half to discard. An unsorted list does not support this reasoning.

02 / Trace it

Find 8 in [2, 4, 6, 8, 10]. Compare 6; keep [8, 10]; then compare 8.

03 / Complexity

Each comparison roughly halves the remaining interval, giving logarithmic worst-case comparisons.

RECALL CHECK

What happens when no items remain?

Reveal answer / उत्तर देखें

The target is absent. Stop rather than searching the same interval again.

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Original sample · no AI waitEnglish
SYAAHI / REVISION NOTES01

Binary search: halve the work

Search a sorted list by comparing the target with its middle item and keeping only the possible half.

01 / Start sorted

The ordering lets you decide which half to discard. An unsorted list does not support this reasoning.

02 / Trace it

Find 8 in [2, 4, 6, 8, 10]. Compare 6; keep [8, 10]; then compare 8.

03 / Complexity

Each comparison roughly halves the remaining interval, giving logarithmic worst-case comparisons.

RECALL CHECK

What happens when no items remain?

Reveal answer / उत्तर देखें

The target is absent. Stop rather than searching the same interval again.

Made with Syaahi · syaahii.in
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