Binary Insertion Sort Algorithm Visualization | Step by Step Python Code Animation

Published: 25 June 2026
on channel: Benabub
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Sorting Algorithm Binary Insertion Sort optimizes the standard insertion sort by using binary search to find the correct insertion position for each element within the sorted prefix. The algorithm then shifts all elements from that position to the right by one and places the stored value into the low position (left edge).

Complexity Analysis:
Time Complexity: O(n²) — binary search reduces comparisons to O(log n) per element, but shifting elements still requires O(n) moves, resulting in overall quadratic time
Space Complexity: O(1) — sorting is performed in place without additional memory

Timestamps:
0:00 — Start Outer Loop From Second Element
0:18 — Find Insertion Position With Binary Search
2:41 — Shift Elements To The Right
3:03 — Insert Value
6:22 — Result

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