fibonacci-heap | 易学教程

Finding last digit of sum from m to n Fibonacci numbers. (0 ≤ 𝑚 ≤ 𝑛 ≤ 10^14)

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问题 My code is as follow : m, n = map(int, input().split()) # write function "fibtotal" which takes input x and gives accurate fib(x+2)%10 (as sum till fib(x) == fib(x+2) - 1) # using above function get fibtotal(m-1) and fibtotal(n) # subtract fibtotal(m-1) from fibtotal(n) and do mod 10 gives last digit of sum from m to n # take care of handling large input sizes, 0 ≤ 𝑚 ≤ 𝑛 ≤ 10^14 def fibtotal(x): sum = 1 # if both initial conditions fail then loop starts from 2 x= x % 60 # pisano period of 10

Decrease operation in fibonacci heap, boost

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问题 I'm trying to use in my implementation the fibonacci heap from boost but my program crashes, when I calling decrease function, this the example (W is a simple class): struct heap_data { boost::heap::fibonacci_heap<heap_data>::handle_type handle; W* payload; heap_data(W* w) { payload = w; } bool operator<(heap_data const & rhs) const { return payload->get_key() < rhs.payload->get_key(); } }; int main() { boost::heap::fibonacci_heap<heap_data> heap; vector<heap_data> A; for (int i = 0; i < 10;

Decrease operation in fibonacci heap, boost

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Using Existing Fibonacci Heap Java Implementation with Dijkstra's Shortest Path Java Implementation

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问题 Using java programming language, I am trying to implement the most efficient shortest path algorithm on a graph with positive edge cost. To the best of my knowledge, that would be Dijkstra's algorithm with a Fibonacci Heap as the priority Queue. I borrowed the following Fibonacci Heap implementation by Keith Schwarz as stated in the link. http://keithschwarz.com/interesting/code/?dir=fibonacci-heap In my code, I also modified the dijkstra algorithm implementation presented in this question,

project idea for fibonacci heap

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问题 I'm in a beginner level computer programming class and I (along with 3 other students) want to implement a Fibonacci heap for a final project. Can anyone suggest some good applications of fibonacci heaps? Something flashy enough to be good presentation material? 回答1: Fibonacci heaps are used in some graph algorithms to improve their runtime. These graph algorithms might be pretty "flashy", so you could showcase those. For example, I believe Dijkstra's algorithm sometimes uses Fibonacci Heaps

Are Fibonacci heaps or Brodal queues used in practice anywhere?

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问题 Are Fibonacci heaps used in practice anywhere? I've looked around on SO and found answers to related questions (see below) but nothing that actually quite answers the question. There are good implementations of Fibonacci heaps out there, including in standard libraries such as Boost C++. The fact that these libraries contain Fibonacci heaps suggests to be that they must be useful somewhere. We know that certain conditions need to be met for a Fibonacci heap to be faster in practice: "to

Boost Fibonacci Heap Decrease Operation

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问题 The new 'heap' boost library includes a fibonacci heap. The complexity of each implementation can be seen here: http://www.boost.org/doc/libs/1_51_0/doc/html/heap/data_structures.html. My question is this: Why is the fibonacci heap decrease operation O(log(N)), while the increase operation is O(1)? I would like to experiment with using the fibonacci heap in Dijkstra's algorithm, which is heavily dependent upon a fast decrease operation. 回答1: According to http://www.boost.org/doc/libs/1_51_0

How to show Fibonacci heap with n nodes can have height n? [closed]

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问题 It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center. Closed 6 years ago . I want to show that a Fibonacci heap with n nodes could have height n. I tried this with examples but I don't know how to show this in general. 回答1: (I assume you mean height n - 1: height n is impossible since

Why is a Fibonacci heap called a Fibonacci heap?

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问题 The Fibonacci heap data structure has the word "Fibonacci" in its name, but nothing in the data structure seems to use Fibonacci numbers. According to the Wikipedia article: The name of Fibonacci heap comes from Fibonacci numbers which are used in the running time analysis. How do these Fibonacci numbers arise in the Fibonacci heap? 回答1: The Fibonacci heap is made up of a collection of smaller heap-ordered trees of different "orders" that obey certain structural constraints. The Fibonacci

Why is a Fibonacci heap called a Fibonacci heap?

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The Fibonacci heap data structure has the word "Fibonacci" in its name, but nothing in the data structure seems to use Fibonacci numbers. According to the Wikipedia article: The name of Fibonacci heap comes from Fibonacci numbers which are used in the running time analysis. How do these Fibonacci numbers arise in the Fibonacci heap? The Fibonacci heap is made up of a collection of smaller heap-ordered trees of different "orders" that obey certain structural constraints. The Fibonacci sequence arises because these trees are constructed in a way such that a tree of order n has at least F n+2