The algorithm uses a fast and a slow pointer to detect a loop in a linked list. My question is, how do I prove that the distance between the point where the two pointers collide in the loop and the start of the loop is equal to the distance between the head of the linked list and the start of the loop?
Floyd's cycle-finding algorithm proof (Detecting loops in linked lists)
954 views Asked by YSA At
1
There are 1 answers
Related Questions in ALGORITHM
- MCNP 6 - Doubts about cells
- Given partially sorted array of type x<y => first apperance of x comes before first of y, sort in average O(n)
- What is the algorithm behind math.gcd and why it is faster Euclidean algorithm?
- Purpose of last 2 while loops in the merge algorithm of merge sort sorting technique
- Dots and Boxes with apha-beta pruning
- What is the average and worst-case time complexity of my string searching algorithm?
- Building a School Schedule Generator
- TC problem 5-2:how to calculate the probability of the indicator random variable?
- LCA of a binary tree implemented in Python
- Identify the checksum algorithm
- Algorithm for finding a subset of nodes in a weighted connected graph such that the distance between any pair nodes are under a postive number?
- Creating an efficent and time-saving algorithm to find difference between greater than and lesser than combination
- Algorithm to find neighbours of point by distance with no repeats
- Asking code suggestions about data structure and algorithm
- Heap sort with multithreading
Related Questions in POINTERS
- What does: "char *argv[]" mean?
- Memory allocated for pointer to string literals
- change the value of double pointer with indirection(dereference) operator cause segmentation fault
- Unexpected result when assigning and printing pointer value of two-dimensional array with its name
- The character array data changes when I use it inside for loop. I do not understand why does it change, the data ")" becomes "("
- char * gives garbage value when pointing to a variable of a function in C
- What is correct way to copy struct instance with fields in Go?
- PHP FFI: How to pass PHP class object to C++
- How to make a single slider with three pointer
- rac dangling pointer crash。
- Is casting "pointer to array of type" to "pointer to type" defined?
- C++: How to implement a pointer to another class as a member?
- What is the purpose of (int *) p here?
- Initialize a structure pointer to NULL, then try to change its members
- Could an unitialized pointer be a NULL pointer?
Related Questions in LINKED-LIST
- What line of code do I change to avoid duplication in a linked list?
- LeetCode question Removed Duplicates From Sorted List
- Ran on an MCU (STM32F1), doubly-linked list code results in a call of HardFault() due to stack overflow
- List with a Struct in C++
- Why deleting an element in a linkedlist costs O(1)
- Which is the correct approach to delete LinkedList Node?
- Why Floyd's cycle finding algorithm, the tortoise and hare both need to start at the same location?
- Printing a linked list in a reversed spiral manner
- Transfer linked list values from one linked list to another in C
- Border-Top on only second nav ul li
- Creating a linked list from an arraylist
- Linked list of template type with the next pointer being a different specialization
- Following code is failing to find intersection of two lists
- Traversing a linked list of polymorphic derived type in both directions
- Python ListNode object update in a linked list doesn't work as expected
Related Questions in FLOYD-CYCLE-FINDING
- Floyd's Algorithm to detect cycle in linked list proof
- In sort Linked List question, I am getting runtime error when I initialize fast=head and it is running fine when I initialize fast=head->next
- Finding a Cycle in a Linked List
- Understanding polyline in AI
- Why in Floyd's Algorithm for cycle detection if we take fast as head.next than the solution becomes wrong?
- Happy number program using array, help me how to calculate Time Complexity?
- Is it possible to remove duplicates from an unsorted array in O(n) time, O(1) space complexity, using the Floyd's tortoise and hare algorithm?
- How to find a collision of first 56 bits for MD5(MD5(x)) for input data with the same prefix?
- Question about logic of removing loop in linked list
- How do I fix the error my code is giving while printing the linked list after removing loop/cycle?
- Cycle detection within a Hash in Ruby
- Writing a function to detect a cycle in a linked list (Floyd's alg)... Logic looks correct but can't find the bug
- How to find the total number of items in linked list?
- Use Floyd-Warshall algorithm to find negative-weight circles
- Floyd's Algorithm - SIGTSTP error
Popular Questions
- How do I undo the most recent local commits in Git?
- How can I remove a specific item from an array in JavaScript?
- How do I delete a Git branch locally and remotely?
- Find all files containing a specific text (string) on Linux?
- How do I revert a Git repository to a previous commit?
- How do I create an HTML button that acts like a link?
- How do I check out a remote Git branch?
- How do I force "git pull" to overwrite local files?
- How do I list all files of a directory?
- How to check whether a string contains a substring in JavaScript?
- How do I redirect to another webpage?
- How can I iterate over rows in a Pandas DataFrame?
- How do I convert a String to an int in Java?
- Does Python have a string 'contains' substring method?
- How do I check if a string contains a specific word?
Trending Questions
- UIImageView Frame Doesn't Reflect Constraints
- Is it possible to use adb commands to click on a view by finding its ID?
- How to create a new web character symbol recognizable by html/javascript?
- Why isn't my CSS3 animation smooth in Google Chrome (but very smooth on other browsers)?
- Heap Gives Page Fault
- Connect ffmpeg to Visual Studio 2008
- Both Object- and ValueAnimator jumps when Duration is set above API LvL 24
- How to avoid default initialization of objects in std::vector?
- second argument of the command line arguments in a format other than char** argv or char* argv[]
- How to improve efficiency of algorithm which generates next lexicographic permutation?
- Navigating to the another actvity app getting crash in android
- How to read the particular message format in android and store in sqlite database?
- Resetting inventory status after order is cancelled
- Efficiently compute powers of X in SSE/AVX
- Insert into an external database using ajax and php : POST 500 (Internal Server Error)
Consider the speed of the slow pointer as "x" and the speed of the fast as "2x". Using simple relative motion you can prove that these two will eventually meet if there is a loop.
Now, consider the time being same, so the distance traveled by fast pointer is twice as more than the slow.
If slow travels a distance of a+b then fast will travel a+2b+c. The link will provide you a better understanding.
2*(a+b)=a+2b+c
Solving this equation gives you a=c.
This question already has been answered, you may refer to the link below:
https://cs.stackexchange.com/questions/10360/floyds-cycle-detection-algorithm-determining-the-starting-point-of-cycle