From e9f663294475887556c84cca21df38e23b88782b Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Wed, 5 Nov 2025 14:00:01 +0300 Subject: [PATCH 1/4] feat(algorithms, sliding-window): repeated dna sequences --- .../repeated_dna_sequences/README.md | 271 ++++++++++++++++++ .../repeated_dna_sequences/__init__.py | 72 +++++ .../repeated_dna_sequences_example_one.png | Bin 0 -> 42182 bytes .../repeated_dna_sequences_example_three.png | Bin 0 -> 28737 bytes .../repeated_dna_sequences_example_two.png | Bin 0 -> 27925 bytes ...eated_dna_sequences_illustration_eight.png | Bin 0 -> 136071 bytes ...ated_dna_sequences_illustration_eleven.png | Bin 0 -> 127106 bytes ...ted_dna_sequences_illustration_fifteen.png | Bin 0 -> 118172 bytes ...peated_dna_sequences_illustration_five.png | Bin 0 -> 126738 bytes ...peated_dna_sequences_illustration_four.png | Bin 0 -> 124717 bytes ...ed_dna_sequences_illustration_fourteen.png | Bin 0 -> 159438 bytes ...peated_dna_sequences_illustration_nine.png | Bin 0 -> 133334 bytes ...epeated_dna_sequences_illustration_one.png | Bin 0 -> 56543 bytes ...eated_dna_sequences_illustration_seven.png | Bin 0 -> 133375 bytes ...epeated_dna_sequences_illustration_six.png | Bin 0 -> 130245 bytes ...epeated_dna_sequences_illustration_ten.png | Bin 0 -> 136323 bytes ...ed_dna_sequences_illustration_thirteen.png | Bin 0 -> 152535 bytes ...eated_dna_sequences_illustration_three.png | Bin 0 -> 97437 bytes ...ated_dna_sequences_illustration_twelve.png | Bin 0 -> 155500 bytes ...epeated_dna_sequences_illustration_two.png | Bin 0 -> 70631 bytes .../test_repeated_dna_sequences.py | 43 +++ 21 files changed, 386 insertions(+) create mode 100644 algorithms/sliding_window/repeated_dna_sequences/README.md create mode 100644 algorithms/sliding_window/repeated_dna_sequences/__init__.py create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_example_one.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_example_three.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_example_two.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_eight.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_eleven.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_fifteen.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_five.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_four.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_fourteen.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_nine.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_one.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_seven.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_six.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_ten.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_thirteen.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_three.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_twelve.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_illustration_two.png create mode 100644 algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py diff --git a/algorithms/sliding_window/repeated_dna_sequences/README.md b/algorithms/sliding_window/repeated_dna_sequences/README.md new file mode 100644 index 00000000..76282f97 --- /dev/null +++ b/algorithms/sliding_window/repeated_dna_sequences/README.md @@ -0,0 +1,271 @@ +# Repeated DNA Sequences + +A DNA sequence consists of nucleotides represented by the letters ‘A’, ‘C’, ‘G’, and ‘T’ only. For example, “ACGAATTCCG” +is a valid DNA sequence. + +Given a string, s, that represents a DNA sequence, return all the 10-letter-long sequences (continuous substrings of +exactly 10 characters) that appear more than once in s. You can return the output in any order. + +Constraints: +- 1 ≤ s.length ≤ 10^3 +- s[i] is either 'A', 'C', 'G', or 'T'. + +Examples: + +![Example one](images/repeated_dna_sequences_example_one.png) +![Example two](images/repeated_dna_sequences_example_two.png) +![Example three](images/repeated_dna_sequences_example_three.png) + +--- + +## Solution + +### Naive Approach +The naive approach to solving this problem would be to use a nested loop to check all possible 10-letter-long substrings +in the given DNA sequence. Using a set, we would extract every possible substring of length 10 and compare it with all +previously seen substrings. If a substring appears more than once, we add it to the result. + +Specifically, we start by iterating through the string and extracting every substring of length 10. For each substring, +we check if it has already been seen before. We store it in a separate set to track repeated sequences if it has. If +not, we add it to the set of seen substrings. Finally, we return all repeated sequences as a list. This method is +simple to understand but inefficient because checking each substring against previously seen ones takes much time, +making it slow for large inputs. + +We extract all k-length (where k = 10) substrings from the given string s, which has length n. This means we extract +(n−k+1) substrings. Each substring extraction takes O(k) time. Checking whether a substring is in a set (average case) +takes O(1), but in the worst case (hash collisions), it takes O(n−k+1) comparisons. Inserting a new substring into the +set takes O(1) on average, but worst case O(n−k+1). Therefore, the overall time complexity becomes O((n−k)×k). + +The space complexity of this approach is O((n−k)×k) because, in the worst case, our set can contain (n−k+1) elements, +and at each iteration of the traversal, we are allocating memory to generate a new k - length substring. + +### Optimized approach using sliding window +As we only need to check consecutive 10-letter substrings, we can slide over the string and update our hash efficiently +instead of creating new substrings every time. To optimize it further, instead of computing a hash from scratch for +each substring, we can update its value as we slide forward on the string. This technique is commonly known as +rolling hash. + +The rolling hash can be divided into three main steps: +- Initial hash calculation: Calculate the hash for the main string’s first window (substring). +- Slide the window: Move the window one character forward. +- Update the hash: Use the previous hash value to calculate the new hash without rescanning the whole substring. + - Remove the hash contribution of the outgoing character. + - Add the hash contribution of the incoming character. + +This optimized solution revolves around the rolling hash technique. First, we convert the characters 'A', 'C', 'G', and +'T' into numerical values 0, 1, 2, and 3, respectively. Then, compute the rolling hash for the first 10-letter substring. +As we slide the window forward one character at a time, remove the old character from the left and add the new character +on the right. Update the hash efficiently to reflect this change. We use a set to track previously seen hash values. +At each step, check if the computed hash has been seen before. If a hash appears again, store the corresponding +substring in the result. + +Let’s look at the following illustration to get a better understanding of the solution: + +![Step 1](./images/repeated_dna_sequences_illustration_one.png) +![Step 2](./images/repeated_dna_sequences_illustration_two.png) +![Step 3](./images/repeated_dna_sequences_illustration_three.png) +![Step 4](./images/repeated_dna_sequences_illustration_four.png) +![Step 5](./images/repeated_dna_sequences_illustration_five.png) +![Step 6](./images/repeated_dna_sequences_illustration_six.png) +![Step 7](./images/repeated_dna_sequences_illustration_seven.png) +![Step 8](./images/repeated_dna_sequences_illustration_eight.png) +![Step 9](./images/repeated_dna_sequences_illustration_nine.png) +![Step 10](./images/repeated_dna_sequences_illustration_ten.png) +![Step 11](./images/repeated_dna_sequences_illustration_eleven.png) +![Step 12](./images/repeated_dna_sequences_illustration_twelve.png) +![Step 13](./images/repeated_dna_sequences_illustration_thirteen.png) +![Step 14](./images/repeated_dna_sequences_illustration_fourteen.png) +![Step 15](./images/repeated_dna_sequences_illustration_fifteen.png) + +### A step-by-step solution construction + +#### Step 1: Encode characters into numbers + +Before processing DNA sequences in s, we must convert the characters 'A', 'C', 'G', and 'T' into numerical values. +This allows us to perform mathematical operations, like computing hashes, more efficiently. We assign 0 → 'A', 1 → +'C', 2 → 'G', and 3 → 'T +We’ll define this mapping in a dictionary to_int. Then, we’ll convert each character in s into its corresponding numeric +value and store it in a list encoded_sequence. Let’s look at the code for this step: + +```python +from typing import List + + +def find_repeated_dna_sequences(dna_sequence: str) -> List[str]: + # Define a mapping of DNA characters to numerical values + to_int = {"A": 0, "C": 1, "G": 2, "T": 3} + + # Convert each character in the input string to its corresponding number + encoded_sequence = [to_int[c] for c in dna_sequence] + + # Return the encoded list of numbers + return encoded_sequence +``` + +#### Step 2: Compute the first hash (rolling hash) + +Now that we have the numerical form of the DNA sequence in s, we can compute a rolling hash for the first 10-letter +substring. Hashing allows us to efficiently compare substrings without repeatedly checking each character. + +For hashing, we’ll use the polynomial rolling hash: + +`hash = (c1 × a^(k-1)) + (c2 × a ^(k-2)) + ... + (ck × a^0)` + +Here, ci represents each character in s, a is the size of our alphabet, i.e., 4 for the DNA sequence in s, and +k is the length of the substring for which we are computing the hash, i.e., 10 in our case. + +By plugging in the values, we’ll compute the initial hash as follows: + +`h0 = (c1 × 4^9)+(c2 × 4^8)+ . . . + (c10 × 4^0)` + +Here, each character ci contributes to the hash using base-4 multiplication. This uniquely represents the sequence we +can update as we slide through the DNA string. + +> Note: This hash is derived from the polynomial hash. If you want to dive deeper into how we mapped the general +polynomial hash to our case,here is more information: +> For a sequence of numbers {n1,n2,n3,..., nk}, where each ni represents a character converted into a number, the +> polynomial hash function in base-a: `hash=(n1×a^(k-1))+(n2×a^(k-2))+ . . . + (nk × a^0)`. In the equation above, k is +> the length of the substring for which we are computing the hash, and a is the size of our alphabet, i.e., 4 for the +> DNA sequence in s. This formula treats the sequence as a number in base-a notation, similar to how we represent +> numbers in base-10 or base-2. If we apply it to our case, k=10 as we are working with 10-letter substrings, and a=4 as +> we have 4 possible characters (A, C, G, T). So, plugging in the values: `hash=(n1×4^9)+(n2×4^8)+ . . . + (n10 × 4^0)` +> This formula gives a unique number (most of the time) for each 10-letter DNA sequence. + + +In the code implementation, we’ll define and initialize some variables to store each equation component above. We’ll +define the constants k = 10 and a = 4. We’ll use the variable h to store the rolling hash value and a_k to compute 4^k. +Then, we’ll use a loop to process the first 10 letters of s for computing the first hash. This loop will do the following: +- Builds a unique number (hash) for the first 10 letters iteratively. +- Prepares a multiplier (a_k) for future hash updates. + +Let’s look at the code for this step: + +```python +from typing import List + + +def find_repeated_dna_sequences(dna_sequence: str) -> List[str]: + # Define a mapping of DNA characters to numerical values + to_int = {"A": 0, "C": 1, "G": 2, "T": 3} + + # Convert each character in the input string to its corresponding number + encoded_sequence = [to_int[c] for c in dna_sequence] + dna_sequence_length = 10 # Length of DNA sequence to check + base_a_encoding = 4 # Base-4 encoding + + rolling_hash_value = 0 + a_k = 1 # Stores a^k for hash updates + + # Compute the initial hash using base-4 multiplication + for i in range(dna_sequence_length): + rolling_hash_value = rolling_hash_value * base_a_encoding + encoded_sequence[i] + a_k *= base_a_encoding # Precompute a^k for later use in rolling hash updates + + return rolling_hash_value +``` + +#### Step 3: Update the hash and use a set to track seen substrings + +After computing the initial hash, we slide a window through the string, efficiently updating the hash. Instead of +recomputing the hash from scratch at every step, we adjust it by: + +- Removing the old character from the left. +- Adding the new character on the right. + +Using a rolling hash, the update formula becomes: + +new hash =(old hash × 4) − (leftmost digit × 4^10) + new digit + +In the code implementation, we’ll use a loop to slide over s and update the hash value, h, for each new window. As we +have already computed the hash for the first window, we’ll start our loop from the index 1 of s. The variable start +will always indicate the starting point of our window, and we’ll get the ending point by adding k to it +(to be precise in terms of coding, start + k - 1). So, to remove the contribution of the leftmost character and add the +contribution of the rightmost character in h, we'll update it as follows: + +`rolling_hash_value = (rolling_hash_value * base_a_encoding) - (encoded_sequence[start - 1] * a_k) + (encoded_sequence[start + dna_sequence_length - 1])` + +We’ll use a set, `seen_hashes`, to track hashes we’ve seen before. If a hash, h, appears again, we add the corresponding +substring to the result, output. Let’s look at the code for this step: + +```python +from typing import List + + +def find_repeated_dna_sequences(dna_sequence: str) -> List[str]: + # Define a mapping of DNA characters to numerical values + to_int = {"A": 0, "C": 1, "G": 2, "T": 3} + + # Convert each character in the input string to its corresponding number + encoded_sequence = [to_int[c] for c in dna_sequence] + dna_sequence_substr_length, dna_sequence_length = 10, len(dna_sequence) # Length of DNA sequence to check + base_a_encoding = 4 # Base-4 encoding + + rolling_hash_value = 0 + a_k = 1 # Stores a^k for hash updates + + # Compute the initial hash using base-4 multiplication + for i in range(dna_sequence_substr_length): + rolling_hash_value = rolling_hash_value * base_a_encoding + encoded_sequence[i] + a_k *= base_a_encoding # Precompute a^k for later use in rolling hash updates + + seen_hashes, output = set(), set() # Sets to track hashes and repeated sequences + seen_hashes.add(rolling_hash_value) # Store the initial hash + + # Sliding window approach to update the hash efficiently + for start in range(1, dna_sequence_length - dna_sequence_substr_length + 1): + # Remove the leftmost character and add the new rightmost character + rolling_hash_value = rolling_hash_value * base_a_encoding - encoded_sequence[start - 1] * a_k + encoded_sequence[start + dna_sequence_substr_length - 1] + + # If this hash has been seen_hashes before, add the corresponding substring to the output + if rolling_hash_value in seen_hashes: + output.add(dna_sequence[start : start + dna_sequence_substr_length]) + else: + seen_hashes.add(rolling_hash_value) + + return list(output) # Convert set to list before returning +``` + +### Solution Summary +Let’s get a quick recap of the optimized solution: + +Encode DNA sequence in s by converting 'A', 'C', 'G', and 'T' into numbers (0, 1, 2, 3) for easier computation. + +Use a set to store seen hashes and detect repeating sequences. + +Compute the rolling hash for the first 10-letter substring and store it in the set. + +Move the window one step forward and compute the hash of the new window. Store this new hash in the set. Store the +corresponding substring in the result if the calculated hash appears again. + +Once the entire string has been traversed, return the result containing all the repeating 10-letter long sequences. + +### Time Complexity +Let’s break down and analyze the time complexity of this solution: + +- We go through the input string once to convert characters into numbers, which takes O(n) +- We compute the first rolling hash in O(k) time (where k = 10). As k is a fixed small number, it is treated as O(1) +- Then, we slide through the string once, updating the hash in O(1) time for each step. Overall, it takes O(n−k) time, + which can be simplified to O(n) as k is a constant. +- Checking and storing hashes in a set is O(1) on average. + +If we sum these up, the overall time complexity simplifies to: `O(n)+O(1)+O(n)+O(1)=O(n)` + +### Space Complexity +Let’s break down and analyze the space complexity of this solution: + +- We store the encoded sequence as a list of numbers, which takes O(n) space. +- We store hashes in a set that would have, at most, n−k+1 entries. This can be simplified to O(n) space. +- We store repeated sequences in another set that takes, at most, n−k+1 unique sequences. This can be simplified to + O(n) space. + +If we sum these up, the overall space complexity becomes: `O(n)+O(n)+O(n)=O(n)` + +--- + +## Tags +- Hash Table +- String +- Bit Manipulation +- Sliding Window +- Rolling Hash +- Hash Function diff --git a/algorithms/sliding_window/repeated_dna_sequences/__init__.py b/algorithms/sliding_window/repeated_dna_sequences/__init__.py new file mode 100644 index 00000000..92478d87 --- /dev/null +++ b/algorithms/sliding_window/repeated_dna_sequences/__init__.py @@ -0,0 +1,72 @@ +from typing import List, Dict + + +def find_repeated_dna_sequences_naive(dna_sequence: str) -> List[str]: + """ + Finds all repeated DNA sequences in a given string. + + A repeated DNA sequence is a subsequence that appears more than once in the given string. + The function returns a list of all repeated DNA sequences found in the given string. + Parameters: + dna_sequence (str): The string to search for repeated DNA sequences. + + Returns: + List[str] + """ + result_set = set() + seen: Dict[str, bool] = {} + for idx in range(len(dna_sequence)): + subsequence = dna_sequence[idx:idx+10] + if subsequence in seen: + result_set.add(subsequence) + else: + seen[subsequence]=True + + return list(result_set) + +def find_repeated_dna_sequences(dna_sequence: str) -> List[str]: + """ + Finds all repeated DNA sequences in a given string. + + A repeated DNA sequence is a subsequence that appears more than once in the given string. + The function returns a list of all repeated DNA sequences found in the given string. + Parameters: + dna_sequence (str): The string to search for repeated DNA sequences. + + Returns: + List[str] + """ + to_int = {"A": 0, "C": 1, "G": 2, "T": 3} + encoded_sequence = [to_int[c] for c in dna_sequence] + + dna_sequence_substr_length, dna_sequence_length = 10, len(dna_sequence) # Length of DNA sequence to check + + if dna_sequence_length <= dna_sequence_substr_length: + return [] + + base_a_encoding = 4 # Base-4 encoding + rolling_hash_value = 0 + seen_hashes, output = set(), set() + a_k = 1 # Stores a^k for hash updates + + # # Compute the initial hash using base-4 multiplication + for i in range(dna_sequence_substr_length): + rolling_hash_value = rolling_hash_value * base_a_encoding + encoded_sequence[i] + a_k *= base_a_encoding # Precompute a^k for later use in rolling hash updates + + seen_hashes.add(rolling_hash_value) # Store the initial hash + + # Sliding window approach to update the hash efficiently + for start in range(1, dna_sequence_length - dna_sequence_substr_length + 1): + # Remove the leftmost character and add the new rightmost character + rolling_hash_value = rolling_hash_value * base_a_encoding - encoded_sequence[start - 1] * a_k + encoded_sequence[start + dna_sequence_substr_length - 1] + + # If this hash has been seen_hashes before, add the corresponding substring to the output + if rolling_hash_value in seen_hashes: + output.add(dna_sequence[start: start + dna_sequence_substr_length]) + else: + seen_hashes.add(rolling_hash_value) + + # Convert set to list before returning + return list(output) + diff --git a/algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_example_one.png b/algorithms/sliding_window/repeated_dna_sequences/images/repeated_dna_sequences_example_one.png new file mode 100644 index 0000000000000000000000000000000000000000..90061f0bcabe25f4d756a163139cf78cdf3ff2fd GIT binary patch literal 42182 zcmeFZby$^6+dc{i0@8vYB?!_;H%Lf#mmuBU9nvKw-Q7q_cQ=Z3N`oNXxo5ra^Slr5 z{{8*!>c7ZfCxv$HlbwJ?N&qKtNoVibEXj}`c!8k&hA@Qt+|_C7`%%qM@phwg`b zQ9w~pTpavX)VDJ04XU=^9w;8Pd5}+CZv6@wjk- zx0Z$uy2LJ)7FPCLF7HVG^$jlY9#TwCLj13g~6*E1 zAJ=^J$^X5kvb~|5ptU8qqyz6iPv)=6k3amYA`d;}&L54$zlZr>rC^+SpYhQD=b7<7 zt7>LKgM#9R5*HFsa)I7UgKwVbKJP9luTH(jt@eW6vU zs+6vWgHIirtyb}A92Pb<8%E-Q_2DFCw|j4CQF`CXZnmPWYwL?ezIVa8ft`^;uRO*x z#3-nLURW=EX6?5mXJKfV!z5we@c;9ogQo7HdzSuRU&aGv0V->>^#3#v^-1#6U`3cO 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a/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py b/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py new file mode 100644 index 00000000..b34c2090 --- /dev/null +++ b/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py @@ -0,0 +1,43 @@ +import unittest +from . import find_repeated_dna_sequences + + +class FindRepeatedDnaSequencesTestCase(unittest.TestCase): + def test_1(self): + dna_sequence = "AAAAACCCCCAAAAACCCCCCAAAAAGGGTTT" + expected = ["CCCCCAAAAA", "AAAAACCCCC"] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(sorted(expected), sorted(actual)) + + def test_2(self): + dna_sequence = "GGGGGGGGGGGGGGGGGGGG" + expected = ["GGGGGGGGGG"] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(expected, actual) + + def test_3(self): + dna_sequence = "TTTGGGAAATTTGGGAAACC" + expected = [] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(expected, actual) + + def test_4(self): + dna_sequence = "AAAAAAAAAAAAA" + expected = ["AAAAAAAAAA"] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(expected, actual) + + def test_5(self): + dna_sequence = "ACGTACGTACGTACGTACGTACGTACGTACGT" + expected = ["ACGTACGTAC","CGTACGTACG","GTACGTACGT","TACGTACGTA"] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(sorted(expected), sorted(actual)) + + def test_6(self): + dna_sequence = "GTACGTACGTACGCCCCCCCCGGGGG" + expected = [] + actual = find_repeated_dna_sequences(dna_sequence) + self.assertEqual(expected, actual) + +if __name__ == '__main__': + unittest.main() From 682dcdb5e0b2281886b5ee77c0aff4d309cdf45d Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Wed, 5 Nov 2025 11:00:42 +0000 Subject: [PATCH 2/4] updating DIRECTORY.md --- DIRECTORY.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index bd7b32f2..f95ae174 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -101,6 +101,8 @@ * [Test Longest Substring K Repeating Chars](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/sliding_window/longest_substring_with_k_repeating_chars/test_longest_substring_k_repeating_chars.py) * Longest Substring Without Repeating Characters * [Test Longest Substring Without Repeating Characters](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/sliding_window/longest_substring_without_repeating_characters/test_longest_substring_without_repeating_characters.py) + * Repeated Dna Sequences + * [Test Repeated Dna Sequences](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py) * Sorting * Insertionsort * [Test Insertion Sort](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/sorting/insertionsort/test_insertion_sort.py) From a93e069bbb9165dad5545ac7bce9f4a44d4b3264 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Wed, 5 Nov 2025 15:48:46 +0300 Subject: [PATCH 3/4] chore(algorithms, sliding-window, find-repeated-dna-sequences: minor fixes to naive implementation --- .../repeated_dna_sequences/__init__.py | 9 ++++- .../test_repeated_dna_sequences.py | 39 ++++++++++++++++++- 2 files changed, 45 insertions(+), 3 deletions(-) diff --git a/algorithms/sliding_window/repeated_dna_sequences/__init__.py b/algorithms/sliding_window/repeated_dna_sequences/__init__.py index 92478d87..f30ab7a9 100644 --- a/algorithms/sliding_window/repeated_dna_sequences/__init__.py +++ b/algorithms/sliding_window/repeated_dna_sequences/__init__.py @@ -13,14 +13,19 @@ def find_repeated_dna_sequences_naive(dna_sequence: str) -> List[str]: Returns: List[str] """ + if len(dna_sequence) <= 10: + return [] + result_set = set() - seen: Dict[str, bool] = {} + seen = set() for idx in range(len(dna_sequence)): subsequence = dna_sequence[idx:idx+10] + if len(subsequence) < 10: + continue if subsequence in seen: result_set.add(subsequence) else: - seen[subsequence]=True + seen.add(subsequence) return list(result_set) diff --git a/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py b/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py index b34c2090..5460161d 100644 --- a/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py +++ b/algorithms/sliding_window/repeated_dna_sequences/test_repeated_dna_sequences.py @@ -1,5 +1,5 @@ import unittest -from . import find_repeated_dna_sequences +from . import find_repeated_dna_sequences, find_repeated_dna_sequences_naive class FindRepeatedDnaSequencesTestCase(unittest.TestCase): @@ -39,5 +39,42 @@ def test_6(self): actual = find_repeated_dna_sequences(dna_sequence) self.assertEqual(expected, actual) +class FindRepeatedDnaSequencesNaiveTestCase(unittest.TestCase): + def test_1(self): + dna_sequence = "AAAAACCCCCAAAAACCCCCCAAAAAGGGTTT" + expected = ["CCCCCAAAAA", "AAAAACCCCC"] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(sorted(expected), sorted(actual)) + + def test_2(self): + dna_sequence = "GGGGGGGGGGGGGGGGGGGG" + expected = ["GGGGGGGGGG"] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(expected, actual) + + def test_3(self): + dna_sequence = "TTTGGGAAATTTGGGAAACC" + expected = [] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(expected, actual) + + def test_4(self): + dna_sequence = "AAAAAAAAAAAAA" + expected = ["AAAAAAAAAA"] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(expected, actual) + + def test_5(self): + dna_sequence = "ACGTACGTACGTACGTACGTACGTACGTACGT" + expected = ["ACGTACGTAC","CGTACGTACG","GTACGTACGT","TACGTACGTA"] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(sorted(expected), sorted(actual)) + + def test_6(self): + dna_sequence = "GTACGTACGTACGCCCCCCCCGGGGG" + expected = [] + actual = find_repeated_dna_sequences_naive(dna_sequence) + self.assertEqual(expected, actual) + if __name__ == '__main__': unittest.main() From 3f3c9e9d9d652e53636f976a24468b43e11a8ca5 Mon Sep 17 00:00:00 2001 From: Lusina <12752833+BrianLusina@users.noreply.github.com> Date: Wed, 5 Nov 2025 15:56:10 +0300 Subject: [PATCH 4/4] chore: add validation for dna sequences --- algorithms/sliding_window/repeated_dna_sequences/__init__.py | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/algorithms/sliding_window/repeated_dna_sequences/__init__.py b/algorithms/sliding_window/repeated_dna_sequences/__init__.py index f30ab7a9..a1e3d4f3 100644 --- a/algorithms/sliding_window/repeated_dna_sequences/__init__.py +++ b/algorithms/sliding_window/repeated_dna_sequences/__init__.py @@ -42,6 +42,11 @@ def find_repeated_dna_sequences(dna_sequence: str) -> List[str]: List[str] """ to_int = {"A": 0, "C": 1, "G": 2, "T": 3} + + # Validate input contains only valid DNA bases + if not all(c in to_int for c in dna_sequence): + raise ValueError(f"DNA sequence contains invalid characters. Only A, C, G, T are allowed.") + encoded_sequence = [to_int[c] for c in dna_sequence] dna_sequence_substr_length, dna_sequence_length = 10, len(dna_sequence) # Length of DNA sequence to check

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