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Stacked Drop: the small one bounces 9× higher
The big one bounces first, so the small one hits it at 2v and flies off at 3v. Height goes with speed squared: up to 9× the drop height — stack three and it's up to 49×.

#StackedDrop #physics #science #UmaMusume #Mambo by @manbobobo123
159
14 hours ago
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Counting Sort: no comparisons at all
No comparisons: count how many of each number, turn the counts into last-seat positions, then drop everyone straight into place. O(n + k) — great for small ranges with lots of repeats, and stable.

#CountingSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
114
17 hours ago
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Binary Search: find Mambo among a million in 20 cuts
Every cut throws away half. A million halves down to one in just 20 steps — that's O(log n).

#BinarySearch #Mambo #algorithm #coding #UmaMusume by @manbobobo123
394
2 days ago
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Mambo: Pancake Sort!
Sorting with a spatula 🥞 The only move allowed: flip the top k pancakes. Flip the biggest to the top, then flip it to the bottom — 6 pancakes sorted in 9 flips. Bill Gates co-wrote a paper on this problem in college.
#PancakeSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
140
2 days ago
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Shell Sort: big gaps first, then tidy up
Insertion-sort the ones a gap apart, then shrink the gap. Long jumps get everyone close fast, so the last pass has almost nothing left to do.

#ShellSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
51
3 days ago
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Brachistochrone: the fastest slide isn't the straight one
Four slides, same start and finish. The cycloid wins — and on a cycloid, everyone arrives at the same time no matter where they start.

#Brachistochrone #physics #science #UmaMusume #Mambo by @manbobobo123
492
4 days ago
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Heap Sort: the biggest always sits on top
Turn the line into a max-heap, swap the top to the end, then let the new top sink down. Always O(n log n).

#HeapSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
117
4 days ago
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Bitonic Sort: everyone swaps at once
Four pairs compare and swap in the same round. Same 24 compares, only 6 rounds — made for GPUs.

#BitonicSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
144
5 days ago
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Selection Sort: find the smallest, move it to the front
Each round scans what's left for the smallest and swaps it to the front. Few swaps, but every comparison still happens.

#SelectionSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
127
5 days ago
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Mambo: Doppler Effect — closer = higher, farther = lower
As the car drives toward her, the sound waves bunch up and the pitch jumps +7.7 semitones; as it drives away they stretch out and it drops −5.3.

#DopplerEffect #physics #science #UmaMusume #Mambo by @manbobobo123
249
7 days ago
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Insertion Sort: like sorting a hand of cards
The left side is always sorted; each newcomer walks back until it finds its spot. Very fast when the line is almost sorted.

#InsertionSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
179
8 days ago
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Sleep Sort: the smallest wakes up first
Everyone sleeps for as long as their number, then steps out on waking. The small ones wake first, so the line sorts itself.

#SleepSort #Mambo #SortingAlgorithm #algorithm #coding by @manbobobo123
46
9 days ago
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