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https://github.com/keon/algorithms

Minimal examples of data structures and algorithms in Python
https://github.com/keon/algorithms

algorithm algorithms competitive-programming data-structure graph python search sort tree

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Minimal examples of data structures and algorithms in Python

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Pythonic Data Structures and Algorithms
=========================================

Minimal and clean example implementations of data structures and algorithms in Python 3.

## Contributing
Thanks for your interest in contributing! There are many ways to contribute to this project. [Get started here](CONTRIBUTING.md)

## Tests

### Use unittest
For running all tests write down:

$ python3 -m unittest discover tests

For running some specific tests you can do this as following (Ex: sort):

$ python3 -m unittest tests.test_sort

### Use pytest
For running all tests write down:

$ python3 -m pytest tests

## Install
If you want to use the API algorithms in your code, it is as simple as:

$ pip3 install algorithms

You can test by creating a python file: (Ex: use `merge_sort` in `sort`)

```python3
from algorithms.sort import merge_sort

if __name__ == "__main__":
my_list = [1, 8, 3, 5, 6]
my_list = merge_sort(my_list)
print(my_list)
```

## Uninstall
If you want to uninstall algorithms, it is as simple as:

$ pip3 uninstall -y algorithms

## List of Implementations

- [arrays](algorithms/arrays)
- [delete_nth](algorithms/arrays/delete_nth.py)
- [flatten](algorithms/arrays/flatten.py)
- [garage](algorithms/arrays/garage.py)
- [josephus_problem](algorithms/arrays/josephus.py)
- [limit](algorithms/arrays/limit.py)
- [longest_non_repeat](algorithms/arrays/longest_non_repeat.py/)
- [max_ones_index](algorithms/arrays/max_ones_index.py)
- [merge_intervals](algorithms/arrays/merge_intervals.py)
- [missing_ranges](algorithms/arrays/missing_ranges.py)
- [plus_one](algorithms/arrays/plus_one.py)
- [rotate](algorithms/arrays/rotate.py)
- [summarize_ranges](algorithms/arrays/summarize_ranges.py)
- [three_sum](algorithms/arrays/three_sum.py)
- [trimmean](algorithms/arrays/trimmean.py)
- [top_1](algorithms/arrays/top_1.py)
- [two_sum](algorithms/arrays/two_sum.py)
- [move_zeros](algorithms/arrays/move_zeros.py)
- [n_sum](algorithms/arrays/n_sum.py)
- [greedy](algorithms/greedy/)
- [max_contiguous_subsequence_sum](algorithms/greedy/max_contiguous_subsequence_sum.py)
- [automata](algorithms/automata)
- [DFA](algorithms/automata/dfa.py)
- [backtrack](algorithms/backtrack)
- [general_solution.md](algorithms/backtrack/)
- [add_operators](algorithms/backtrack/add_operators.py)
- [anagram](algorithms/backtrack/anagram.py)
- [array_sum_combinations](algorithms/backtrack/array_sum_combinations.py)
- [combination_sum](algorithms/backtrack/combination_sum.py)
- [factor_combinations](algorithms/backtrack/factor_combinations.py)
- [generate_abbreviations](algorithms/backtrack/generate_abbreviations.py)
- [generate_parenthesis](algorithms/backtrack/generate_parenthesis.py)
- [letter_combination](algorithms/backtrack/letter_combination.py)
- [palindrome_partitioning](algorithms/backtrack/palindrome_partitioning.py)
- [pattern_match](algorithms/backtrack/pattern_match.py)
- [permute](algorithms/backtrack/permute.py)
- [permute_unique](algorithms/backtrack/permute_unique.py)
- [subsets](algorithms/backtrack/subsets.py)
- [subsets_unique](algorithms/backtrack/subsets_unique.py)
- [bfs](algorithms/bfs)
- [maze_search](algorithms/bfs/maze_search.py)
- [shortest_distance_from_all_buildings](algorithms/bfs/shortest_distance_from_all_buildings.py)
- [word_ladder](algorithms/bfs/word_ladder.py)
- [bit](algorithms/bit)
- [add_bitwise_operator](algorithms/bit/add_bitwise_operator.py)
- [bit_operation](algorithms/bit/bit_operation.py)
- [bytes_int_conversion](algorithms/bit/bytes_int_conversion.py)
- [count_flips_to_convert](algorithms/bit/count_flips_to_convert.py)
- [count_ones](algorithms/bit/count_ones.py)
- [find_difference](algorithms/bit/find_difference.py)
- [find_missing_number](algorithms/bit/find_missing_number.py)
- [flip_bit_longest_sequence](algorithms/bit/flip_bit_longest_sequence.py)
- [power_of_two](algorithms/bit/power_of_two.py)
- [reverse_bits](algorithms/bit/reverse_bits.py)
- [single_number](algorithms/bit/single_number.py)
- [single_number2](algorithms/bit/single_number2.py)
- [single_number3](algorithms/bit/single_number3.py)
- [subsets](algorithms/bit/subsets.py)
- [swap_pair](algorithms/bit/swap_pair.py)
- [has_alternative_bit](algorithms/bit/has_alternative_bit.py)
- [insert_bit](algorithms/bit/insert_bit.py)
- [remove_bit](algorithms/bit/remove_bit.py)
- [binary_gap](algorithms/bit/binary_gap.py)
- [compression](algorithms/compression)
- [huffman_coding](algorithms/compression/huffman_coding.py)
- [rle_compression](algorithms/compression/rle_compression.py)
- [elias](algorithms/compression/elias.py)
- [dfs](algorithms/dfs)
- [all_factors](algorithms/dfs/all_factors.py)
- [count_islands](algorithms/dfs/count_islands.py)
- [pacific_atlantic](algorithms/dfs/pacific_atlantic.py)
- [sudoku_solver](algorithms/dfs/sudoku_solver.py)
- [walls_and_gates](algorithms/dfs/walls_and_gates.py)
- [distribution](algorithms/distribution)
- [histogram](algorithms/distribution/histogram.py)
- [dp](algorithms/dp)
- [buy_sell_stock](algorithms/dp/buy_sell_stock.py)
- [climbing_stairs](algorithms/dp/climbing_stairs.py)
- [coin_change](algorithms/dp/coin_change.py)
- [combination_sum](algorithms/dp/combination_sum.py)
- [egg_drop](algorithms/dp/egg_drop.py)
- [house_robber](algorithms/dp/house_robber.py)
- [int_divide](algorithms/dp/int_divide.py)
- [job_scheduling](algorithms/dp/job_scheduling.py)
- [knapsack](algorithms/dp/knapsack.py)
- [longest_increasing](algorithms/dp/longest_increasing.py)
- [matrix_chain_order](algorithms/dp/matrix_chain_order.py)
- [max_product_subarray](algorithms/dp/max_product_subarray.py)
- [max_subarray](algorithms/dp/max_subarray.py)
- [min_cost_path](algorithms/dp/min_cost_path.py)
- [num_decodings](algorithms/dp/num_decodings.py)
- [regex_matching](algorithms/dp/regex_matching.py)
- [rod_cut](algorithms/dp/rod_cut.py)
- [word_break](algorithms/dp/word_break.py)
- [fibonacci](algorithms/dp/fib.py)
- [hosoya triangle](algorithms/dp/hosoya_triangle.py)
- [K-Factor_strings](algorithms/dp/k_factor.py)
- [planting_trees](algorithms/dp/planting_trees.py)
- [graph](algorithms/graph)
- [check_bipartite](algorithms/graph/check_bipartite.py)
- [strongly_connected](algorithms/graph/check_digraph_strongly_connected.py)
- [clone_graph](algorithms/graph/clone_graph.py)
- [cycle_detection](algorithms/graph/cycle_detection.py)
- [find_all_cliques](algorithms/graph/find_all_cliques.py)
- [find_path](algorithms/graph/find_path.py)
- [graph](algorithms/graph/graph.py)
- [dijkstra](algorithms/graph/dijkstra.py)
- [markov_chain](algorithms/graph/markov_chain.py)
- [minimum_spanning_tree](algorithms/graph/minimum_spanning_tree.py)
- [satisfiability](algorithms/graph/satisfiability.py)
- [minimum_spanning_tree_prims](algorithms/graph/prims_minimum_spanning.py)
- [tarjan](algorithms/graph/tarjan.py)
- [traversal](algorithms/graph/traversal.py)
- [maximum_flow](algorithms/graph/maximum_flow.py)
- [maximum_flow_bfs](algorithms/graph/maximum_flow_bfs.py)
- [maximum_flow_dfs](algorithms/graph/maximum_flow_dfs.py)
- [all_pairs_shortest_path](algorithms/graph/all_pairs_shortest_path.py)
- [bellman_ford](algorithms/graph/bellman_ford.py)
- [Count Connected Components](algorithms/graph/count_connected_number_of_component.py)
- [heap](algorithms/heap)
- [merge_sorted_k_lists](algorithms/heap/merge_sorted_k_lists.py)
- [skyline](algorithms/heap/skyline.py)
- [sliding_window_max](algorithms/heap/sliding_window_max.py)
- [binary_heap](algorithms/heap/binary_heap.py)
- [k_closest_points](algorithms/heap/k_closest_points.py)
- [linkedlist](algorithms/linkedlist)
- [add_two_numbers](algorithms/linkedlist/add_two_numbers.py)
- [copy_random_pointer](algorithms/linkedlist/copy_random_pointer.py)
- [delete_node](algorithms/linkedlist/delete_node.py)
- [first_cyclic_node](algorithms/linkedlist/first_cyclic_node.py)
- [is_cyclic](algorithms/linkedlist/is_cyclic.py)
- [is_palindrome](algorithms/linkedlist/is_palindrome.py)
- [kth_to_last](algorithms/linkedlist/kth_to_last.py)
- [linkedlist](algorithms/linkedlist/linkedlist.py)
- [remove_duplicates](algorithms/linkedlist/remove_duplicates.py)
- [reverse](algorithms/linkedlist/reverse.py)
- [rotate_list](algorithms/linkedlist/rotate_list.py)
- [swap_in_pairs](algorithms/linkedlist/swap_in_pairs.py)
- [is_sorted](algorithms/linkedlist/is_sorted.py)
- [remove_range](algorithms/linkedlist/remove_range.py)
- [map](algorithms/map)
- [hashtable](algorithms/map/hashtable.py)
- [separate_chaining_hashtable](algorithms/map/separate_chaining_hashtable.py)
- [longest_common_subsequence](algorithms/map/longest_common_subsequence.py)
- [longest_palindromic_subsequence](algorithms/map/longest_palindromic_subsequence.py)
- [randomized_set](algorithms/map/randomized_set.py)
- [valid_sudoku](algorithms/map/valid_sudoku.py)
- [word_pattern](algorithms/map/word_pattern.py)
- [is_isomorphic](algorithms/map/is_isomorphic.py)
- [is_anagram](algorithms/map/is_anagram.py)
- [maths](algorithms/maths)
- [base_conversion](algorithms/maths/base_conversion.py)
- [chinese_remainder_theorem](algorithms/maths/chinese_remainder_theorem.py)
- [combination](algorithms/maths/combination.py)
- [cosine_similarity](algorithms/maths/cosine_similarity.py)
- [decimal_to_binary_ip](algorithms/maths/decimal_to_binary_ip.py)
- [diffie_hellman_key_exchange](algorithms/maths/diffie_hellman_key_exchange.py)
- [euler_totient](algorithms/maths/euler_totient.py)
- [extended_gcd](algorithms/maths/extended_gcd.py)
- [factorial](algorithms/maths/factorial.py)
- [find_order](algorithms/maths/find_order_simple.py)
- [find_primitive_root](algorithms/maths/find_primitive_root_simple.py)
- [gcd/lcm](algorithms/maths/gcd.py)
- [generate_strobogrammtic](algorithms/maths/generate_strobogrammtic.py)
- [hailstone](algorithms/maths/hailstone.py)
- [is_strobogrammatic](algorithms/maths/is_strobogrammatic.py)
- [krishnamurthy_number](algorithms/maths/krishnamurthy_number.py)
- [magic_number](algorithms/maths/magic_number.py)
- [modular_exponential](algorithms/maths/modular_exponential.py)
- [modular_inverse](algorithms/maths/modular_inverse.py)
- [next_bigger](algorithms/maths/next_bigger.py)
- [next_perfect_square](algorithms/maths/next_perfect_square.py)
- [nth_digit](algorithms/maths/nth_digit.py)
- [num_perfect_squares](algorithms/maths/num_perfect_squares.py)
- [polynomial](algorithms/maths/polynomial.py)
- [power](algorithms/maths/power.py)
- [prime_check](algorithms/maths/prime_check.py)
- [primes_sieve_of_eratosthenes](algorithms/maths/primes_sieve_of_eratosthenes.py)
- [pythagoras](algorithms/maths/pythagoras.py)
- [rabin_miller](algorithms/maths/rabin_miller.py)
- [recursive_binomial_coefficient](algorithms/maths/recursive_binomial_coefficient.py)
- [rsa](algorithms/maths/rsa.py)
- [sqrt_precision_factor](algorithms/maths/sqrt_precision_factor.py)
- [summing_digits](algorithms/maths/summing_digits.py)
- [symmetry_group_cycle_index](algorithms/maths/symmetry_group_cycle_index.py)
- [matrix](algorithms/matrix)
- [sudoku_validator](algorithms/matrix/sudoku_validator.py)
- [bomb_enemy](algorithms/matrix/bomb_enemy.py)
- [copy_transform](algorithms/matrix/copy_transform.py)
- [count_paths](algorithms/matrix/count_paths.py)
- [matrix_exponentiation](algorithms/matrix/matrix_exponentiation.py)
- [matrix_inversion](algorithms/matrix/matrix_inversion.py)
- [matrix_multiplication](algorithms/matrix/multiply.py)
- [rotate_image](algorithms/matrix/rotate_image.py)
- [search_in_sorted_matrix](algorithms/matrix/search_in_sorted_matrix.py)
- [sparse_dot_vector](algorithms/matrix/sparse_dot_vector.py)
- [sparse_mul](algorithms/matrix/sparse_mul.py)
- [spiral_traversal](algorithms/matrix/spiral_traversal.py)
- [crout_matrix_decomposition](algorithms/matrix/crout_matrix_decomposition.py)
- [cholesky_matrix_decomposition](algorithms/matrix/cholesky_matrix_decomposition.py)
- [sum_sub_squares](algorithms/matrix/sum_sub_squares.py)
- [sort_matrix_diagonally](algorithms/matrix/sort_matrix_diagonally.py)
- [queues](algorithms/queues)
- [max_sliding_window](algorithms/queues/max_sliding_window.py)
- [moving_average](algorithms/queues/moving_average.py)
- [queue](algorithms/queues/queue.py)
- [reconstruct_queue](algorithms/queues/reconstruct_queue.py)
- [zigzagiterator](algorithms/queues/zigzagiterator.py)
- [search](algorithms/search)
- [binary_search](algorithms/search/binary_search.py)
- [first_occurrence](algorithms/search/first_occurrence.py)
- [last_occurrence](algorithms/search/last_occurrence.py)
- [linear_search](algorithms/search/linear_search.py)
- [search_insert](algorithms/search/search_insert.py)
- [two_sum](algorithms/search/two_sum.py)
- [search_range](algorithms/search/search_range.py)
- [find_min_rotate](algorithms/search/find_min_rotate.py)
- [search_rotate](algorithms/search/search_rotate.py)
- [jump_search](algorithms/search/jump_search.py)
- [next_greatest_letter](algorithms/search/next_greatest_letter.py)
- [interpolation_search](algorithms/search/interpolation_search.py)
- [set](algorithms/set)
- [randomized_set](algorithms/set/randomized_set.py)
- [set_covering](algorithms/set/set_covering.py)
- [find_keyboard_row](algorithms/set/find_keyboard_row.py)
- [sort](algorithms/sort)
- [bitonic_sort](algorithms/sort/bitonic_sort.py)
- [bogo_sort](algorithms/sort/bogo_sort.py)
- [bubble_sort](algorithms/sort/bubble_sort.py)
- [bucket_sort](algorithms/sort/bucket_sort.py)
- [cocktail_shaker_sort](algorithms/sort/cocktail_shaker_sort.py)
- [comb_sort](algorithms/sort/comb_sort.py)
- [counting_sort](algorithms/sort/counting_sort.py)
- [cycle_sort](algorithms/sort/cycle_sort.py)
- [exchange_sort](algorithms/sort/exchange_sort.py)
- [gnome_sort](algorithms/sort/gnome_sort.py)
- [heap_sort](algorithms/sort/heap_sort.py)
- [insertion_sort](algorithms/sort/insertion_sort.py)
- [meeting_rooms](algorithms/sort/meeting_rooms.py)
- [merge_sort](algorithms/sort/merge_sort.py)
- [pancake_sort](algorithms/sort/pancake_sort.py)
- [pigeonhole_sort](algorithms/sort/pigeonhole_sort.py)
- [quick_sort](algorithms/sort/quick_sort.py)
- [radix_sort](algorithms/sort/radix_sort.py)
- [selection_sort](algorithms/sort/selection_sort.py)
- [shell_sort](algorithms/sort/shell_sort.py)
- [sort_colors](algorithms/sort/sort_colors.py)
- [stooge_sort](algorithms/sort/stooge_sort.py)
- [top_sort](algorithms/sort/top_sort.py)
- [wiggle_sort](algorithms/sort/wiggle_sort.py)
- [stack](algorithms/stack)
- [longest_abs_path](algorithms/stack/longest_abs_path.py)
- [simplify_path](algorithms/stack/simplify_path.py)
- [stack](algorithms/stack/stack.py)
- [valid_parenthesis](algorithms/stack/valid_parenthesis.py)
- [stutter](algorithms/stack/stutter.py)
- [switch_pairs](algorithms/stack/switch_pairs.py)
- [is_consecutive](algorithms/stack/is_consecutive.py)
- [remove_min](algorithms/stack/remove_min.py)
- [is_sorted](algorithms/stack/is_sorted.py)
- [streaming](algorithms/streaming)
- [1-sparse-recovery](algorithms/streaming/one_sparse_recovery.py)
- [misra-gries](algorithms/streaming/misra_gries.py)
- [strings](algorithms/strings)
- [fizzbuzz](algorithms/strings/fizzbuzz.py)
- [delete_reoccurring](algorithms/strings/delete_reoccurring.py)
- [strip_url_params](algorithms/strings/strip_url_params.py)
- [validate_coordinates](algorithms/strings/validate_coordinates.py)
- [domain_extractor](algorithms/strings/domain_extractor.py)
- [merge_string_checker](algorithms/strings/merge_string_checker.py)
- [add_binary](algorithms/strings/add_binary.py)
- [breaking_bad](algorithms/strings/breaking_bad.py)
- [decode_string](algorithms/strings/decode_string.py)
- [encode_decode](algorithms/strings/encode_decode.py)
- [group_anagrams](algorithms/strings/group_anagrams.py)
- [int_to_roman](algorithms/strings/int_to_roman.py)
- [is_palindrome](algorithms/strings/is_palindrome.py)
- [license_number](algorithms/strings/license_number.py)
- [make_sentence](algorithms/strings/make_sentence.py)
- [multiply_strings](algorithms/strings/multiply_strings.py)
- [one_edit_distance](algorithms/strings/one_edit_distance.py)
- [rabin_karp](algorithms/strings/rabin_karp.py)
- [reverse_string](algorithms/strings/reverse_string.py)
- [reverse_vowel](algorithms/strings/reverse_vowel.py)
- [reverse_words](algorithms/strings/reverse_words.py)
- [roman_to_int](algorithms/strings/roman_to_int.py)
- [word_squares](algorithms/strings/word_squares.py)
- [unique_morse](algorithms/strings/unique_morse.py)
- [judge_circle](algorithms/strings/judge_circle.py)
- [strong_password](algorithms/strings/strong_password.py)
- [caesar_cipher](algorithms/strings/caesar_cipher.py)
- [check_pangram](algorithms/strings/check_pangram.py)
- [contain_string](algorithms/strings/contain_string.py)
- [count_binary_substring](algorithms/strings/count_binary_substring.py)
- [repeat_string](algorithms/strings/repeat_string.py)
- [min_distance](algorithms/strings/min_distance.py)
- [longest_common_prefix](algorithms/strings/longest_common_prefix.py)
- [rotate](algorithms/strings/rotate.py)
- [first_unique_char](algorithms/strings/first_unique_char.py)
- [repeat_substring](algorithms/strings/repeat_substring.py)
- [atbash_cipher](algorithms/strings/atbash_cipher.py)
- [longest_palindromic_substring](algorithms/strings/longest_palindromic_substring.py)
- [knuth_morris_pratt](algorithms/strings/knuth_morris_pratt.py)
- [panagram](algorithms/strings/panagram.py)
- [tree](algorithms/tree)
- [bst](algorithms/tree/bst)
- [array_to_bst](algorithms/tree/bst/array_to_bst.py)
- [bst_closest_value](algorithms/tree/bst/bst_closest_value.py)
- [BSTIterator](algorithms/tree/bst/BSTIterator.py)
- [delete_node](algorithms/tree/bst/delete_node.py)
- [is_bst](algorithms/tree/bst/is_bst.py)
- [kth_smallest](algorithms/tree/bst/kth_smallest.py)
- [lowest_common_ancestor](algorithms/tree/bst/lowest_common_ancestor.py)
- [predecessor](algorithms/tree/bst/predecessor.py)
- [serialize_deserialize](algorithms/tree/bst/serialize_deserialize.py)
- [successor](algorithms/tree/bst/successor.py)
- [unique_bst](algorithms/tree/bst/unique_bst.py)
- [depth_sum](algorithms/tree/bst/depth_sum.py)
- [count_left_node](algorithms/tree/bst/count_left_node.py)
- [num_empty](algorithms/tree/bst/num_empty.py)
- [height](algorithms/tree/bst/height.py)
- [fenwick_tree](algorithms/tree/fenwick_tree/fenwick_tree.py)
- [red_black_tree](algorithms/tree/red_black_tree)
- [red_black_tree](algorithms/tree/red_black_tree/red_black_tree.py)
- [segment_tree](algorithms/tree/segment_tree)
- [segment_tree](algorithms/tree/segment_tree/segment_tree.py)
- [iterative_segment_tree](algorithms/tree/segment_tree/iterative_segment_tree.py)
- [traversal](algorithms/tree/traversal)
- [inorder](algorithms/tree/traversal/inorder.py)
- [level_order](algorithms/tree/traversal/level_order.py)
- [postorder](algorithms/tree/traversal/postorder.py)
- [preorder](algorithms/tree/traversal/preorder.py)
- [zigzag](algorithms/tree/traversal/zigzag.py)
- [trie](algorithms/tree/trie)
- [add_and_search](algorithms/tree/trie/add_and_search.py)
- [trie](algorithms/tree/trie/trie.py)
- [b_tree](algorithms/tree/b_tree.py)
- [binary_tree_paths](algorithms/tree/binary_tree_paths.py)
- [bin_tree_to_list](algorithms/tree/bin_tree_to_list.py)
- [construct_tree_preorder_postorder](algorithms/tree/construct_tree_postorder_preorder.py)
- [deepest_left](algorithms/tree/deepest_left.py)
- [invert_tree](algorithms/tree/invert_tree.py)
- [is_balanced](algorithms/tree/is_balanced.py)
- [is_subtree](algorithms/tree/is_subtree.py)
- [is_symmetric](algorithms/tree/is_symmetric.py)
- [longest_consecutive](algorithms/tree/longest_consecutive.py)
- [lowest_common_ancestor](algorithms/tree/lowest_common_ancestor.py)
- [max_height](algorithms/tree/max_height.py)
- [max_path_sum](algorithms/tree/max_path_sum.py)
- [min_height](algorithms/tree/min_height.py)
- [path_sum](algorithms/tree/path_sum.py)
- [path_sum2](algorithms/tree/path_sum2.py)
- [pretty_print](algorithms/tree/pretty_print.py)
- [same_tree](algorithms/tree/same_tree.py)
- [tree](algorithms/tree/tree.py)
- [unix](algorithms/unix)
- [path](algorithms/unix/path/)
- [join_with_slash](algorithms/unix/path/join_with_slash.py)
- [full_path](algorithms/unix/path/full_path.py)
- [split](algorithms/unix/path/split.py)
- [simplify_path](algorithms/unix/path/simplify_path.py)
- [unionfind](algorithms/unionfind)
- [count_islands](algorithms/unionfind/count_islands.py)

## Contributors

Thanks to [all the contributors](https://github.com/keon/algorithms/graphs/contributors)
who helped in building the repo.