From 201367f94329aea2808fe5349879e43fc85761ba Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Wed, 18 Mar 2026 12:40:34 +0300 Subject: [PATCH 1/2] feat(datastructures, mapsum): map sum pairs --- datastructures/map_sum/README.md | 37 +++++ datastructures/map_sum/__init__.py | 129 ++++++++++++++++++ .../examples/map_sum_pairs_example_1.png | Bin 0 -> 83294 bytes .../examples/map_sum_pairs_example_2.png | Bin 0 -> 70311 bytes .../examples/map_sum_pairs_example_3.png | Bin 0 -> 94457 bytes datastructures/map_sum/test_map_sum_pairs.py | 110 +++++++++++++++ datastructures/trees/trie/trie_node.py | 5 +- .../word_dictionary/test_word_dictionary.py | 27 ++++ 8 files changed, 306 insertions(+), 2 deletions(-) create mode 100644 datastructures/map_sum/README.md create mode 100644 datastructures/map_sum/__init__.py create mode 100644 datastructures/map_sum/images/examples/map_sum_pairs_example_1.png create mode 100644 datastructures/map_sum/images/examples/map_sum_pairs_example_2.png create mode 100644 datastructures/map_sum/images/examples/map_sum_pairs_example_3.png create mode 100644 datastructures/map_sum/test_map_sum_pairs.py diff --git a/datastructures/map_sum/README.md b/datastructures/map_sum/README.md new file mode 100644 index 00000000..e90f19cd --- /dev/null +++ b/datastructures/map_sum/README.md @@ -0,0 +1,37 @@ +# Map Sum Pairs + +Design a data structure that supports the following operations: + +1. Insert a key-value pair: + - Each key is a string, and each value is an integer. + - If the key already exists, update its value to (overriding the previous value). + +2. Return the prefix sum: + - Given a string, `prefix`, return the total sum of all values associated with keys that start with this prefix. + +To accomplish this, implement a class MapSum: + +- Constructor: Initializes the object. +- `void insert (String key, int val)`: Inserts the key-value pair into the data structure. If the key already exists, + its value is updated to the new one. +- `int sum (String prefix)`: Returns the total sum of values for all keys that begin with the specified prefix. + +## Constraints + +- 1 ≤ `key.length`, `prefix.length` ≤ 50 +- Both `key` and `prefix` consist of only lowercase English letters. +- 1 ≤ `val` ≤ 1000 +- At most 50 calls will be made to insert and sum. + +## Examples + +![Example 1](./images/examples/map_sum_pairs_example_1.png) +![Example 2](./images/examples/map_sum_pairs_example_2.png) +![Example 3](./images/examples/map_sum_pairs_example_3.png) + +## Topics + +- Hash Table +- String +- Design +- Trie diff --git a/datastructures/map_sum/__init__.py b/datastructures/map_sum/__init__.py new file mode 100644 index 00000000..04490d99 --- /dev/null +++ b/datastructures/map_sum/__init__.py @@ -0,0 +1,129 @@ +from typing import Dict +from collections import Counter + +from datastructures.trees.trie import TrieNode + + +class MapSumBruteForce(object): + """ + This solution to creating a map sum data structure that finds the sum of keys with a matching prefix uses a + Hash Table combined with Brute-Force Search and String Matching. + + Time Complexity: Every insert operation is O(1). Every sum operation is O(N*P) where N is the number of items in the + map, and P is the length of the input prefix. + + Space Complexity: The space used by map is linear in the size of all input key and val values combined. + """ + + def __init__(self): + self.mapping: Dict[str, int] = {} + + def insert(self, key: str, val: int) -> None: + """ + Inserts the key with the given value into the hash table + Args: + key (str): key to insert + val (int): value to insert + """ + self.mapping[key] = val + + def sum(self, prefix: str) -> int: + """ + Finds the sum of all keys with the prefix `prefix`. + Args: + prefix (str): prefix to search for + Returns: + int: sum of all keys with the prefix `prefix` + """ + running_sum = 0 + for k, v in self.mapping.items(): + if k.startswith(prefix): + running_sum += v + + return running_sum + + +class MapSumPrefix(object): + """ + We can remember the answer for all possible prefixes in a HashMap score. When we get a new (key, val) pair, we + update every prefix of key appropriately: each prefix will be changed by delta = val - map[key], where map is the + previously associated value of key (zero if undefined.) + + Time Complexity: Every insert operation is O(K^2), where K is the length of the key, as K strings are made of an + average length of K. Every sum operation is O(1). + + Space Complexity: The space used by map is linear in the size of all input key and val values combined. + """ + + def __init__(self): + self.mapping: Dict[str, int] = {} + self.score = Counter() + + def insert(self, key: str, val: int) -> None: + """ + Inserts the key with the given value into the hash table + Args: + key (str): key to insert + val (int): value to insert + """ + delta = val - self.mapping.get(key, 0) + self.mapping[key] = val + for i in range(len(key) + 1): + prefix = key[:i] + self.score[prefix] += delta + + def sum(self, prefix: str) -> int: + """ + Finds the sum of all keys with the prefix `prefix`. + Args: + prefix (str): prefix to search for + Returns: + int: sum of all keys with the prefix `prefix` + """ + return self.score[prefix] + + +class MapSumTrie(object): + """ + Since we are dealing with prefixes, a Trie (prefix tree) is a natural data structure to approach this problem. For + every node of the trie corresponding to some prefix, we will remember the desired answer (score) and store it at + this node. As in the approach of using a prefix has map, this involves modifying each node by delta = val - map[key]. + + Time Complexity: Every insert operation is O(K), where K is the length of the key. Every sum operation is O(K). + Space Complexity: The space used is linear in the size of the total input. + """ + + def __init__(self): + self.mapping: Dict[str, int] = {} + self.score = Counter() + self.root = TrieNode() + + def insert(self, key: str, val: int) -> None: + """ + Inserts the key with the given value into the hash table + Args: + key (str): key to insert + val (int): value to insert + """ + delta = val - self.mapping.get(key, 0) + self.mapping[key] = val + current = self.root + current.score += delta + for char in key: + current = current.children[char] + current.score += delta + + def sum(self, prefix: str) -> int: + """ + Finds the sum of all keys with the prefix `prefix`. + Args: + prefix (str): prefix to search for + Returns: + int: sum of all keys with the prefix `prefix` + """ + current = self.root + for char in prefix: + if char not in current.children: + return 0 + current = current.children[char] + return current.score diff --git 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zc6tr2R~}T9IomI42<2`9mU;+1*?VU_Bq^O;K>W=*@Y%j0$?;DnHJ~8uHjVz?u|qKFI(#=X*usIbouXdPXBe=6$-C2$>p1J*i*k-%0%52I0b~ zd?halI6u?92#2bw>QFRh?ugz_GPah7J80IjLRO{TVC$=J1i_fl@pI-Z7Z( znE$83XU|6FkFp9nQMf!+6m=q}0oe*~*w(v0AC#sQq5`$$3Vjx%zzikZ2P{SEqK^0r zz*;ZW+R48kh{66(N|s9_!-^GzMk>3>3@ zgCHIY9CG0Z7(Ic%Cm&}5jB2Dzq8Ppp{f8h5nqJ9%b&}K(`u575wRNpa1mRe&%Y?-bP{YA!3w}3Ru zoQ#F8w#9{4bX4`Ac>&ybb<)i=;ak-E^AU9V(J;&@(7v&#*u44(E0YsvD*6!bd({tf zky2R?s=Aih@FDU&<~xa_GV@}8()pP*s$8?xGvvJFH_iRvsfHb|yZWJRVx$9EMDv4t zgD{E#-q`x|I`oB4Z(eLBj2QQAziTIv} zW7J45^I7%g)Bnu#{=2&e`Nsbe1YTt`pB=c%{xgjFZx%;nTQYL3KFHqtWfOevf5vnF zyJ>^R06C>AyE+^D4^ZTPeD??u@Z|kJ@D>02EC2r={r|}UZ@YUC7zk^N7E~#}2mUF^ Lsmqp2oB01 Date: Wed, 18 Mar 2026 09:41:01 +0000 Subject: [PATCH 2/2] updating DIRECTORY.md --- DIRECTORY.md | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 8e5cb0d2..6fcb0090 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -23,6 +23,7 @@ * [Test Is Valid Subsequence](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/arrays/subsequence/test_is_valid_subsequence.py) * Backtracking * Combination + * [Test Combination](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/backtracking/combination/test_combination.py) * [Test Combination 2](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/backtracking/combination/test_combination_2.py) * [Test Combination 3](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/backtracking/combination/test_combination_3.py) * Decode Message @@ -139,6 +140,8 @@ * [Test Can Visit All Rooms](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/graphs/keys_and_rooms/test_can_visit_all_rooms.py) * Knight On Chess Board * [Test Knight On Chess Board](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/graphs/knight_on_chess_board/test_knight_on_chess_board.py) + * Last Day Where You Can Still Cross + * [Test Last Day You Can Still Cross](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/graphs/last_day_where_you_can_still_cross/test_last_day_you_can_still_cross.py) * Maxareaofisland * [Test Max Area Of Island](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/graphs/maxareaofisland/test_max_area_of_island.py) * Min Cost To Supply @@ -203,6 +206,8 @@ * Ransom Note * [Test Ransom Note](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/hash_table/ransom_note/test_ransom_note.py) * Heap + * Construct Target With Sums + * [Test Construct Target With Sums](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/heap/construct_target_with_sums/test_construct_target_with_sums.py) * Kclosestelements * [Test Find K Closest Elements](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/heap/kclosestelements/test_find_k_closest_elements.py) * Longest Happy String @@ -403,6 +408,8 @@ * Topkfreqwords * [Test Top K Frequent Words](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/trie/topkfreqwords/test_top_k_frequent_words.py) * Two Pointers + * Append Chars To Make Subsequence + * [Test Append Chars To Make Subsequence](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/two_pointers/append_chars_to_make_subsequence/test_append_chars_to_make_subsequence.py) * Array 3 Pointers * [Test Array 3 Pointers](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/two_pointers/array_3_pointers/test_array_3_pointers.py) * Container With Most Water @@ -600,6 +607,8 @@ * Lrucache * [With Internal Linked List](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/lrucache/with_internal_linked_list.py) * [With Ordered Dict](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/lrucache/with_ordered_dict.py) + * Map Sum + * [Test Map Sum Pairs](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/map_sum/test_map_sum_pairs.py) * Orderedstream * [Test Ordered Stream](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/orderedstream/test_ordered_stream.py) * Queues

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