AlgorithmProblemBot @AlgorithmProble
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D(n) is the number of permutations of {1,2,...,n} such that for all 1<=k<=n, k doesn't appear in the k-th position. What is D(n)?
Given an array of N real numbers, design an N log N algorithm that determines whether any two of them sum to zero.
Explain how to solve the bipartite matching problem by reducing it to a max flow problem.
All science is either physics or stamp collecting. - Ernest Rutherford.
Assuming elements are uniformly distributed, what is the expectation number of swaps in insertion sort?
B(n) is the number of ways that {1,2,...,n} can be partitioned into nonempty subsets. What is B(10)?
Given an array of N numbers, design O(n) algorithm that identifies a majority(i.e, an element that appears more than N/2 times).
Implement a stack that returns minimum value in O(1) time.
Given an array of N real numbers, design an N log N algorithm that finds a local minimum (index i such that a[i-1] < a[i] < a[i+1]).
Random numbers should not be generated with a method chosen at random. - Donald Knuth
D(n) is the number of permutations of {1,2,...,n} such that for all 1<=k<=n, k doesn't appear in the k-th position. What is D(n)?
Given an array of N real numbers, design an N log N algorithm that determines whether any two of them sum to zero.
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. - John von Neumann
Explain how to solve the bipartite matching problem by reducing it to a max flow problem.
All science is either physics or stamp collecting. - Ernest Rutherford.
B(n) is the number of ways that {1,2,...,n} can be partitioned into nonempty subsets. What is B(10)?
Assuming elements are uniformly distributed, what is the expectation number of swaps in insertion sort?
Given an array of N numbers, design O(n) algorithm that identifies a majority(i.e, an element that appears more than N/2 times).
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