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Oct 21, 2024 12:28 PM

Lecture 1:Introduction

eggs dropping问题:dynamic programming

 

3 gates:random stopping

 

fibonacci search

python

def fibonacci_search(arr,x): n = len(arr) if n == 0: return -1 fib1,fib2 = 0,1 fib3 = fib1 + fib2 while fib3 < n: fib1,fib2 = fib2,fib3 fib3 = fib1 + fib2 offset = -1 while fib3 > 1: i = min(offset+fib2, n-1) if arr[i] < x: fib3 = fib2 fib2 = fib1 fib1 = fib3 - fib2 offset = i elif arr[i] > x: fib3 = fib1 fib2 = fib2 - fib1 fib1 = fib1 -fib2 else: return i if fib2 == 1 and arr[offset+1] == x: return offset+1 else: return -1
Python
 

Lecture 2:

插入排序average case:
i=1ni2=O(n24)\sum_{i=1}^{n}\frac{i}{2}=O(\frac{n^2}{4})
linear programming:单纯形法
smoothed analyis

集中、分布式算法

百万富翁问题(yau),MPC问题
 
 
 

算法导论期中总结

 
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