Update and rename README.md to readme.md

Author: abranhe

README.md

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+<div align="center">
+ <br>
+<br>
+ <br>
+<br>
+<img width="400" height="270" src="https://cdn.jsdelivr.net/npm/@programming-languages-logos/cpp@0.0.2/cpp.svg">
+<br>
+<br>
+ <br>
+<br>
+ <br>
+<br>
+<img src="https://cdn.abranhe.com/projects/algorithms/algorithms.svg" width="400px">
+ <br>
+<br>
+ <p>All ▲lgorithms implemented in C++</p>
+<a href="https://algorithms.abranhe.com"><img src="https://cdn.abranhe.com/projects/algorithms/badge.svg"></a>
+<a href="https://github.com/abranhe/algorithms/blob/master/license"><img src="https://img.shields.io/github/license/abranhe/algorithms.svg" /></a>
+<a href="https://cash.me/$abranhe"><img src="https://cdn.abranhe.com/badges/cash-me.svg"></a>
+<a href="https://www.patreon.com/abranhe"><img src="https://cdn.abranhe.com/badges/patreon.svg" /></a>
+<a href="https://paypal.me/abranhe/10"><img src="https://cdn.abranhe.com/badges/paypal.svg" /></a>
+<br>
+<br>
+<a href="https://allalgorithms.com"><code>allalgorithms.com</code></a>
+</div>
+
+
+## Contents
+
+- [Artificial Intelligence](#artificial-intelligence)
+- [Backtracking](#backtracking)
+- [Bit Manipulation](#bit-manipulation)
+- [Cellular Automaton](#cellular-automaton)
+- [Ciphers](#ciphers)
+- [Computational Geometry](#computational-geometry)
+- [Cryptography](#cryptography)
+- [Data Structures](#data-structures)
+- [Divide and conquer](#divide-and-conquer)
+- [Dynamic Programming](#dynamic-programming)
+- [Gaming Theory](#gaming-theory)
+- [Graphs](#graphs)
+- [Greedy Algorithms](#greedy-algorithms)
+- [Math](#math)
+- [Networking](#networking)
+- [Numerical Analysis](#numerical-analysis)
+- [Operating system](#operating-system)
+- [Randomized Algorithms](#randomized-algorithms)
+- [Searches](#searches)
+- [Selections Algorithms](#selections-algorithms)
+- [Sorting](#sorting)
+- [Strings](#strings)
+- [Online Challenges](#online-challenges)
+- [Others](#others)
+
+## Data Structures
+
+- Queue
+- [Circular Buffer](data-structures/queue/circular_buffer.cpp)
+- [Queue](data-structures/queue/queue.cpp)
+- Stack
+- [Stack](data-structures/stack/stack.cpp)
+
+## Dynamic Programming
+
+- [Coin Change](dynamic-programming/coin_change.cpp)
+- [Edit Distance](dynamic-programming/edit_distance.cpp)
+- [Knapsack](dynamic-programming/knapsack.cpp)
+- [Longest common subsequence](dynamic-programming/lcs.cpp)
+- [Longest Path](dynamic-programming/longest_path.cpp)
+- [Ways to Cover](dynamic-programming/ways_to_cover.cpp)
+
+## Graphs
+
+- [Bellman Ford](graphs/bellman_ford.cpp)
+- [Breadth-first search](graphs/bfs.cpp)
+- [Count Disconnected Components](graphs/count_disconnected_components.cpp)
+- [Depth-first search](graphs/dfs.cpp)
+- [Dijkstra](graphs/dijkstra.cpp)
+- [Floyed Warshall](graphs/floyd_warshall.cpp)
+- [Prims Adjacency List](graphs/prims_adjacency_list.cpp)
+
+## Math
+
+- [Collatz](math/collatz.cpp)
+- [Euclids Greatest common divisor](math/euclids_gcd.cpp)
+- [Factorial](math/factorial.cpp)
+- [Greatest common divisor of array](math/gcd_of_array.cpp)
+- [Least common multiple of array](math/lcm_of_array.cpp)
+- [Lucky Numbers](math/lucky_numbers.cpp)
+- [Modular Exponentiations](math/modular_exponentiations.cpp)
+- [nth Fibonacci Number using Goldenratio](math/nth_fibonacci_using_goldenratio.cpp)
+
+## Searches
+
+- [Binary Search](searches/binary_search.cpp)
+- [Jump Search](searches/jump_search.cpp)
+- [Linear Search](searches/linear_search.cpp)
+- [Ternary Search](searches/ternary_search.cpp)
+
+## Sorting
+
+- [Bubble Sort](sorting/bubble_sort.cpp)
+- [Heap Sort](sorting/heap_sort.cpp)
+- [Heap Sort without vectors](sorting/heap_sort_without_vectors.cpp)
+- [Insertion Sort](sorting/insertion_sort.cpp)
+- [Merge Sort](sorting/merge_sort.cpp)
+- [Quick Sort](sorting/quick_sort.cpp)
+- [Selection Sort](sorting/selection_sort.cpp)
+- [Sort Vector](sorting/sort_vector.cpp)
+- [Tree Sort](sorting/tree_sort.cpp)
+
+## Strings
+
+- [Anagram Check](strings/anagram_check.cpp)
+- [Lexicographic Ranking](strings/lexicographic_ranking.cpp)
+- [Longest Palindrome Subset](strings/longest_palindrome_subset.cpp)
+- [Naive Search](strings/naive_search.cpp)
+- [Permutations of string](strings/permutations_of_string.cpp)
+- [Print duplicate string](strings/print_duplicate_string.cpp)
+- [Rabin Karp](strings/rabin_karp.cpp)
+- [Remove Adjacent Duplicates](strings/remove_adjacent_duplicates.cpp)
+- [Remove Duplicates](strings/remove_duplicates.cpp)
+- [Reverse String](strings/reverse_string.cpp)
+
+## License
+
+This work is released under [MIT License](https://github.com/abranhe/algorithms/blob/master/liceense)
+
+[![MIT IMG](https://cdn.abranhe.com/projects/algorithms/mit-license.png)](https://github.com/abranhe/algorithms/blob/master/license)
+
+To the extent possible under law, [Carlos Abraham](https://go.abranhe.com/github) has waived all copyright and related or neighboring rights to this work.
+
+
+<div align="center">
+<a href="https://github.com/abranhe/algorithms">
+<img src="https://cdn.abranhe.com/projects/algorithms/logo.svg" width="50px">
+</a>
+ <br>
+</div>