Koko Eating Bananas | Binary Search on the ANSWER | LeetCode 75 #56
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Koko Eating Bananas | Binary Search on the ANSWER | LeetCode 75 #56
15 просмотров · 8 дней назад
Placements
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15 просмотров · 8 дней назад
Koko Eating Bananas (LeetCode 875) explained in Hindi — the canonical "binary search on the ANSWER" problem. Instead of searching the piles array, we binary-search the eating speed k: if speed k finishes in h hours, every faster speed does too (monotonicity). Full dry run, debugger-style C++ code walkthrough with every line's WHY, correctness proof, edge cases, and interview tips.
Problem: https://leetcode.com/problems/koko-ea...
What you will learn:
Why binary search applies to the answer space, not the input array
Monotonic predicate proof in plain words (faster can never be slower)
Ceil-per-pile hours formula (p + k - 1) / k and why total/k is wrong
Search bounds [1, max(piles)] and why max(piles) always works
Answer-tracking convergence: ans = mid, right = mid - 1
C++ implementation with long long overflow safety
Time O(n log maxPile), space O(1)
Chapters:
00:00 Problem story: Koko, piles, guards, the one-pile-per-hour rule
04:00 Why not try k = 1, 2, 3... (the 1e9 trap)
08:00 Core idea: search the speedometer, not the roads
12:00 Hard part 1: why binary search on the answer
16:00 Hard part 2: monotonicity proof with live races
21:00 Hard part 3: ceil per pile, bounds, convergence
26:00 Full dry run on [3,6,7,11], h = 8
31:00 Debugger-style C++ walkthrough (every line: WHY)
38:00 Correctness proof + complexity
41:00 Edge cases (h == n, huge h, overflow)
44:00 Interview tips + pattern family
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