From efd1b81022dc2a2f4786cb22a98544b89390b193 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 09:33:39 +0300 Subject: [PATCH 1/7] feat(algorithms, stack): min str length after removing substrings --- .../README.md | 53 +++++ .../__init__.py | 50 ++++ ...etic_force_between_two_balls_example_1.png | Bin 0 -> 65361 bytes ...etic_force_between_two_balls_example_2.png | Bin 0 -> 57759 bytes ...etic_force_between_two_balls_example_3.png | Bin 0 -> 67226 bytes ...etic_force_between_two_balls_example_4.png | Bin 0 -> 72272 bytes .../test_magnetic_force_between_two_balls.py | 27 +++ .../README.md | 219 ++++++++++++++++++ .../__init__.py | 55 +++++ ...th_after_removing_substrings_example_1.png | Bin 0 -> 22976 bytes ...th_after_removing_substrings_example_2.png | Bin 0 -> 24788 bytes ...th_after_removing_substrings_example_3.png | Bin 0 -> 25733 bytes ...emoving_substrings_in-place_solution_1.png | Bin 0 -> 25326 bytes 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create mode 100644 algorithms/stack/minimum_string_length_after_removing_substrings/test_min_str_length_after_removing_substrings.py diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md b/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md new file mode 100644 index 00000000..9d77cea6 --- /dev/null +++ b/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md @@ -0,0 +1,53 @@ +# Magnetic Force Between Two Balls + +In the universe Earth C-137, Rick discovered a special form of magnetic force between two balls if they are put in his +new invented basket. Rick has n empty baskets, the ith basket is at position[i], Morty has m balls and needs to distribute +the balls into the baskets such that the minimum magnetic force between any two balls is maximum. + +Rick stated that magnetic force between two different balls at positions x and y is |x - y|. + +Given the integer array position and the integer m. Return the required force i.e. the maximum possible value of the +minimum magnetic force between any two balls after they have been placed in the baskets. + +## Examples + +Example: +![Example 1](./images/examples/magnetic_force_between_two_balls_example_1.png) + +```text +Input: position = [1,2,3,4,7], m = 3 +Output: 3 +Explanation: Distributing the 3 balls into baskets 1, 4 and 7 will make the magnetic force between ball pairs [3, 3, 6]. +The minimum magnetic force is 3. We cannot achieve a larger minimum magnetic force than 3 +``` + +```text +Input: position = [5,4,3,2,1,1000000000], m = 2 +Output: 999999999 +Explanation: We can use baskets 1 and 1000000000. +``` + +![Example 2](./images/examples/magnetic_force_between_two_balls_example_2.png) +![Example 3](./images/examples/magnetic_force_between_two_balls_example_3.png) +![Example 4](./images/examples/magnetic_force_between_two_balls_example_4.png) + + +## Constraints + +- n == `position.length` +- 2 <= n <= 10^5 +- 1 <= position[i] <= 10^9 +- All integers in `position` are distinct. +- 2 <= `m` <= `position.length` + +## Topics + +- Array +- Binary Search +- Sorting + +## Hints + +- If you can place balls such that the answer is x then you can do it for y where y < x. +- Similarly if you cannot place balls such that the answer is x then you can do it for y where y > x. +- Binary search on the answer and greedily see if it is possible. diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py new file mode 100644 index 00000000..724e5381 --- /dev/null +++ b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py @@ -0,0 +1,50 @@ +from typing import List + + +def max_distance(position: List[int], m: int) -> int: + if not position: + return 0 + + result = 0 + n = len(position) + sorted_positions = sorted(position) + + # initial search space + low = 1 + high = int(sorted_positions[-1] / (m - 1.0)) + 1 + + def can_place_balls(x: int) -> bool: + """ " + Check if we can place 'm' balls at 'position' with each ball having at least 'x' gap. + """ + + # place first ball at the first positions + prev_ball_position = sorted_positions[0] + balls_placed = 1 + + # Iterate on each position and place a ball there if we can place it + for i in range(1, n): + current_position = sorted_positions[i] + # check if we can place the ball at the current position + if current_position - prev_ball_position >= x: + balls_placed += 1 + prev_ball_position = current_position + # if all m balls are placed return true + if balls_placed == m: + return True + + return False + + while low <= high: + mid = low + (high - low) // 2 + # if we can place all balls having a gap at least mid + if can_place_balls(mid): + # Then mid can be our answer + result = mid + # and discard the left-half search space + low = mid + 1 + else: + # discard the right-half search space + high = mid - 1 + + return result diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/images/examples/magnetic_force_between_two_balls_example_1.png b/algorithms/search/binary_search/magnetic_force_between_two_balls/images/examples/magnetic_force_between_two_balls_example_1.png new file mode 100644 index 0000000000000000000000000000000000000000..5c00a9a1283f125b7de8e0460192b8a99d3dc411 GIT binary patch literal 65361 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zrIXt Note: Some programming practices suggest avoiding direct modifications to input data. If this applies, consider +> making a copy of the input string before you start. It’s a good idea to clarify this with your interviewer before you +> implement the solution. + +**Algorithm** + +- Enter a loop that continues while s contains either "AB" or "CD". + - Check if s contains "AB": + - If "AB" is present, remove all occurrences of "AB" from s. + - If "AB" is not present, check if s contains "CD". + - If "CD" is present, remove all occurrences of "CD" from s. +- After the loop ends, return the length of s. + +#### Complexity Analysis + +Let `n` be the length of the input string `s`. + +##### Time Complexity + +The outer while loop can run up to `n/2` times in the worst case. This occurs when we remove two characters in each +iteration (e.g., for a string like "ABABABAB"). Inside the loop, the string methods need to scan the entire string, +which takes O(n) time. + +Thus, the overall time complexity of the algorithm is `O(n/2⋅n)=O(n^2)`. + +##### Space Complexity + +In Python3 and Java, strings are immutable. So, each string operation creates a new string object. However, at any given +time, we only need to store one version of the processed string. So, the space complexity is `O(n)`. + +However, in C++, strings are mutable. So, string operations like erase() are performed in place. Thus, the space +complexity in C++ is `O(1)`. + +### Stack + +In the string removal process, we face two choices for each character: + +- Keep the character if it does not form a removable pattern. +- Remove it along with the previous character if it completes a pattern. + +Using a stack simplifies this task. We push characters onto the stack as we read them and pop them off when we find a +pattern. + +We read the input string from left to right. For each character, we decide to either add it to the stack or remove a +previous character. If the stack is not empty, we compare the current character with the top character on the stack. +If they form "AB" or "CD," we pop the stack. We do not push the current character, thus removing both characters. If +there is no pattern, we push the current character onto the stack. + +After processing all characters, the remaining elements in the stack represent the minimum length of the string after +all possible removals. + +**Algorithm** + +- Initialize a stack to store the characters from the string. +- Iterate over each character in the input string s. For each character currentChar: + - If the stack is empty, push currentChar onto the stack and continue to the next character. + - If the current character is 'B' and the top of the stack is 'A', remove the top element from the stack. + - If the current character is 'D' and the top of the stack is 'C', remove the top element from the stack. + - If neither of the above conditions is met, push currentChar onto the stack. +- After processing all characters, return the size of the stack. + +![Solution 1](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_1.png) +![Solution 2](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_2.png) +![Solution 3](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_3.png) +![Solution 4](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_4.png) +![Solution 5](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_5.png) +![Solution 6](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_6.png) +![Solution 7](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_7.png) +![Solution 8](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_8.png) +![Solution 9](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_9.png) +![Solution 10](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_10.png) +![Solution 11](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_11.png) +![Solution 12](./images/solutions/minimum_string_length_after_removing_substrings_stack_solution_12.png) + +#### Complexity Analysis + +Let `n` be the length of the input string `s`. + +##### Time Complexity + +We iterate over each character of s exactly once. All stack operations inside the loop take constant time. Thus, the +time complexity of the algorithm is `O(n)`. + +##### Space Complexity + +We use a stack to store characters from the input string. In the worst-case scenario, where no "AB" or "CD" patterns are +found, we would end up storing all n characters in the stack. Thus, the space complexity of the algorithm is `O(n)`. + +### In Place Manipulation + +To optimize space, we can modify the string in place. + +We use two pointers: + +- Read Pointer (readPtr): This pointer moves from left to right through the string, checking each character. +- Write Pointer (writePtr): This pointer tracks where to write the next character we want to keep. + +We start by setting writePtr to 0. As we move readPtr through the string, we copy the character at readPtr to the +position indicated by writePtr. Next, we check if the last two characters (positions writePtr-1 and writePtr) form a +removable pattern, such as "AB" or "CD". If they do, we decrease writePtr, which means we will overwrite this part in +the next steps. + +If the last two characters do not form a removable pattern, we increment writePtr to point to the next position where +we can write a character. This way, we can effectively "remove" unwanted characters by overwriting them. + +After processing all characters, the position of writePtr tells us the length of the final string. All the characters +we want to keep are now at the beginning of the array, up to the position of writePtr. + +![Solution 1](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_1.png) +![Solution 2](images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_1.png) +![Solution 3](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_3.png) +![Solution 4](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_4.png) +![Solution 5](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_5.png) +![Solution 6](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_6.png) +![Solution 7](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_7.png) +![Solution 8](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_8.png) + +**Algorithm** + +- Initialize a variable writePtr to 0, which will keep track of the current write position. +- Iterate over each character in the string using a readPtr: + - Copy the character at readPtr to the position at writePtr in the string. + - Check if the following conditions are met: + - writePtr is greater than 0 (ensuring there's a previous character). + - The previous character (at writePtr - 1) is either 'A' or 'C'. + - The current character is exactly one ASCII value higher than the previous character. + - If these conditions are met: + - Decrement writePtr by 1, effectively removing the pair of characters. + - Else: + - Increment writePtr by 1, moving to the next position for writing. +- Return the value of writePtr, which represents the length of the remaining string after all removals. + +#### Complexity Analysis + +Let `n` be the length of the input string `s`. + +##### Time Complexity + +We iterate through the input string exactly once. All operations within the loop take constant time. Thus, the overall +time complexity is linear, `O(n)`. + +##### Space Complexity + +In Java and Python3, strings are immutable. So, the input string needs to be converted to an array or list to perform in +place modifications. Thus, the space complexity remains O(n). + +String are mutable in C++. So, all modifications can be done on the input string itself. No additional data structures +are used, so the space complexity is O(1). diff --git a/algorithms/stack/minimum_string_length_after_removing_substrings/__init__.py b/algorithms/stack/minimum_string_length_after_removing_substrings/__init__.py new file mode 100644 index 00000000..d4c517c5 --- /dev/null +++ b/algorithms/stack/minimum_string_length_after_removing_substrings/__init__.py @@ -0,0 +1,55 @@ +from typing import List + + +def min_length_stack(s: str) -> int: + stack: List[str] = [] + + for char in s: + # If the stack is empty + if len(stack) == 0: + # Add the current character to the stack and continue to the next character + stack.append(char) + continue + # If the current character is B and the top of the stack is A + if char == "B" and stack[-1] == "A": + # Pop off the character from the stack + stack.pop() + # If the current character is D and the top of the stack is C + elif char == "D" and stack[-1] == "C": + # Pop off the character from the top of the stack + stack.pop() + else: + # otherwise, push the current character to the stack + stack.append(char) + return len(stack) + + +def min_length_string_replace(s: str) -> int: + while "AB" in s or "CD" in s: + if "AB" in s: + s = s.replace("AB", "") + elif "CD" in s: + s = s.replace("CD", "") + + return len(s) + + +def min_length_in_place_manipulation(s: str) -> int: + char_list = list(s) + write_ptr = 0 + + for read_ptr in range(len(s)): + # Write the current character to the current write position + char_list[write_ptr] = char_list[read_ptr] + + # Check if we have a valid pattern to remove + if ( + write_ptr > 0 + and char_list[write_ptr - 1] in "AC" + and ord(char_list[write_ptr]) == ord(char_list[write_ptr - 1]) + 1 + ): + write_ptr -= 1 + else: + write_ptr += 1 # No match, so move the write pointer forward + + return write_ptr diff --git a/algorithms/stack/minimum_string_length_after_removing_substrings/images/examples/minimum_string_length_after_removing_substrings_example_1.png 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zhx2~8V?^8NRPw?-R(_mr*mzExE1e<6p>@>*y$oK7!+*r|Ge#-|QExS!ag*%iXMyD! zxmjHA?PCiyZzmNV>GEd}v|ak)zx*us$*%kCQ~QGYfKNfc_)T6Vx4rLD$xxaR$;(zF z^;MyQR$fUV=jp;E5>4VUy4clN2IcEfo!l@tecKbNZd4X?%e<2U>3S`WWI{10vqtGi zda0OxTTS{;peZZ9C6>|fHC0!XDrr7`Oaq1L)eAS59H$?Or9o(Z=9$8ON_+n&P!>_6 z75NBGVD!J+p47fc0pXj)^uHgGd74x;N3ysx@#VjYRNh&ZM?Da5{XgB2nz+aIN!5z| zR|JAk9Vk!gWc6Pe|79OFh63F&z%cw*1j?nN6nR$qF8>vQcBuN*|L4?4k-}59(qU!Z RNoW6PFwiyCsn&iN{Xael!+HP! literal 0 HcmV?d00001 diff --git a/algorithms/stack/minimum_string_length_after_removing_substrings/test_min_str_length_after_removing_substrings.py b/algorithms/stack/minimum_string_length_after_removing_substrings/test_min_str_length_after_removing_substrings.py new file mode 100644 index 00000000..0cf3112d --- /dev/null +++ b/algorithms/stack/minimum_string_length_after_removing_substrings/test_min_str_length_after_removing_substrings.py @@ -0,0 +1,38 @@ +import unittest +from parameterized import parameterized +from algorithms.stack.minimum_string_length_after_removing_substrings import ( + min_length_stack, + min_length_string_replace, + min_length_in_place_manipulation, +) + +MIN_STR_LENGTH_AFTER_REMOVING_SUBSTRINGS_TEST_CASES = [ + ("ABCD", 0), + ("ACDBD", 1), + ("ACBD", 4), + ("ABCDXYZCDAB", 3), + ("A", 1), + ("ABFCACDB", 2), + ("ACBBD", 5), +] + + +class MinStrLengthAfterRemovingSubstringsTestCase(unittest.TestCase): + @parameterized.expand(MIN_STR_LENGTH_AFTER_REMOVING_SUBSTRINGS_TEST_CASES) + def test_min_length(self, s: str, expected: int): + actual = min_length_stack(s) + self.assertEqual(expected, actual) + + @parameterized.expand(MIN_STR_LENGTH_AFTER_REMOVING_SUBSTRINGS_TEST_CASES) + def test_min_length_string_replace(self, s: str, expected: int): + actual = min_length_string_replace(s) + self.assertEqual(expected, actual) + + @parameterized.expand(MIN_STR_LENGTH_AFTER_REMOVING_SUBSTRINGS_TEST_CASES) + def test_min_length_in_place_manipulation(self, s: str, expected: int): + actual = min_length_in_place_manipulation(s) + self.assertEqual(expected, actual) + + +if __name__ == "__main__": + unittest.main() From 27e021247eff468a344bda63545cd05192181dea Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Mon, 16 Feb 2026 06:34:03 +0000 Subject: [PATCH 2/7] updating DIRECTORY.md --- DIRECTORY.md | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 0880b19a..0ac30eec 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -268,6 +268,8 @@ * Binary Search * Divide Chocolate * [Test Divide Chocolate](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/search/binary_search/divide_chocolate/test_divide_chocolate.py) + * Magnetic Force Between Two Balls + * [Test Magnetic Force Between Two Balls](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/search/binary_search/magnetic_force_between_two_balls/test_magnetic_force_between_two_balls.py) * Maxruntime N Computers * [Test Max Runtime](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/search/binary_search/maxruntime_n_computers/test_max_runtime.py) * Split Array Largest Sum @@ -312,11 +314,16 @@ * Stack * Daily Temperatures * [Test Daily Temperatures](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/stack/daily_temperatures/test_daily_temperatures.py) + * Minimum String Length After Removing Substrings + * [Test Min Str Length After Removing Substrings](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/stack/minimum_string_length_after_removing_substrings/test_min_str_length_after_removing_substrings.py) * Taxi Numbers * [Taxi Numbers](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/taxi_numbers/taxi_numbers.py) * Top K Elements * Smallest Range Covering K Lists * [Test Smallest Range Covering Elements From K Lists](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/top_k_elements/smallest_range_covering_k_lists/test_smallest_range_covering_elements_from_k_lists.py) + * Trie + * Longest Word With Prefixes + * [Test Longest Word With Prefixes](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/trie/longest_word_with_prefixes/test_longest_word_with_prefixes.py) * Two Pointers * 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) @@ -440,6 +447,8 @@ * [Test Sub Array With Sum](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/arrays/sub_array_with_sum/test_sub_array_with_sum.py) * Subarrays With Fixed Bounds * [Test Subarrays With Fixed Bounds](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/arrays/subarrays_with_fixed_bounds/test_subarrays_with_fixed_bounds.py) + * Bloom Filter + * [Bloom Filter](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/bloom_filter/bloom_filter.py) * Circular Buffer * [Circular Buffer](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/circular_buffer/circular_buffer.py) * [Exceptions](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/circular_buffer/exceptions.py) From 138533ba252b39f162eaeb23b21c7b84e8e5d7f3 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 14:07:22 +0300 Subject: [PATCH 3/7] Update algorithms/stack/minimum_string_length_after_removing_substrings/README.md Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com> --- .../minimum_string_length_after_removing_substrings/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/algorithms/stack/minimum_string_length_after_removing_substrings/README.md b/algorithms/stack/minimum_string_length_after_removing_substrings/README.md index 4630d2e0..afe44060 100644 --- a/algorithms/stack/minimum_string_length_after_removing_substrings/README.md +++ b/algorithms/stack/minimum_string_length_after_removing_substrings/README.md @@ -178,7 +178,7 @@ After processing all characters, the position of writePtr tells us the length of we want to keep are now at the beginning of the array, up to the position of writePtr. ![Solution 1](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_1.png) -![Solution 2](images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_1.png) +![Solution 2](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_2.png) ![Solution 3](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_3.png) ![Solution 4](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_4.png) ![Solution 5](./images/solutions/minimum_string_length_after_removing_substrings_in-place_solution_5.png) From ef9930c4113e0934cb04588b42f8f32948f6c4f0 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 14:07:35 +0300 Subject: [PATCH 4/7] Update algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com> --- .../magnetic_force_between_two_balls/__init__.py | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py index 724e5381..c07bba99 100644 --- a/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py +++ b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py @@ -14,9 +14,7 @@ def max_distance(position: List[int], m: int) -> int: high = int(sorted_positions[-1] / (m - 1.0)) + 1 def can_place_balls(x: int) -> bool: - """ " - Check if we can place 'm' balls at 'position' with each ball having at least 'x' gap. - """ + """Check if we can place 'm' balls at 'position' with each ball having at least 'x' gap.""" # place first ball at the first positions prev_ball_position = sorted_positions[0] From f3d4c9441eef4c596a3cc6d4173c4d2469c0123a Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 14:07:47 +0300 Subject: [PATCH 5/7] Update algorithms/search/binary_search/magnetic_force_between_two_balls/README.md Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com> --- .../binary_search/magnetic_force_between_two_balls/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md b/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md index 9d77cea6..4e93defc 100644 --- a/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md +++ b/algorithms/search/binary_search/magnetic_force_between_two_balls/README.md @@ -49,5 +49,5 @@ Explanation: We can use baskets 1 and 1000000000. ## Hints - If you can place balls such that the answer is x then you can do it for y where y < x. -- Similarly if you cannot place balls such that the answer is x then you can do it for y where y > x. +- Similarly if you cannot place balls such that the answer is x then you cannot do it for y where y > x. - Binary search on the answer and greedily see if it is possible. From 92bf43899e78a8c8bf233255839cc66d6070ccb2 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 16:55:02 +0300 Subject: [PATCH 6/7] Update algorithms/stack/minimum_string_length_after_removing_substrings/README.md Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com> --- .../README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/algorithms/stack/minimum_string_length_after_removing_substrings/README.md b/algorithms/stack/minimum_string_length_after_removing_substrings/README.md index afe44060..25204bc3 100644 --- a/algorithms/stack/minimum_string_length_after_removing_substrings/README.md +++ b/algorithms/stack/minimum_string_length_after_removing_substrings/README.md @@ -21,9 +21,9 @@ Example 4: Input: s = "ABFCACDB" Output: 2 Explanation: We can do the following operations: -- Remove the substring "ABFCACDB", so s = "FCACDB". -- Remove the substring "FCACDB", so s = "FCAB". -- Remove the substring "FCAB", so s = "FC". +- Remove the substring "AB", so s = "FCACDB". +- Remove the substring "CD", so s = "FCAB". +- Remove the substring "AB", so s = "FC". So the resulting length of the string is 2. It can be shown that it is the minimum length that we can obtain. ``` From 255b923d2ef2cb6411518fbe4b5c6898587b141d Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Mon, 16 Feb 2026 16:55:18 +0300 Subject: [PATCH 7/7] Update algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com> --- .../binary_search/magnetic_force_between_two_balls/__init__.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py index c07bba99..42d5e1a3 100644 --- a/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py +++ b/algorithms/search/binary_search/magnetic_force_between_two_balls/__init__.py @@ -4,6 +4,8 @@ def max_distance(position: List[int], m: int) -> int: if not position: return 0 + if m <= 1: + return 0 result = 0 n = len(position)

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