From cd6c6e1d7a95c8e7792096b35dabafd7b89f3919 Mon Sep 17 00:00:00 2001 From: Ivan Solomatin Date: Mon, 11 Nov 2024 18:53:37 +0300 Subject: [PATCH] Added W06 materials --- README.md | 2 +- week06_kmp_heap/MSAI.2024.Algo.W06.slides.pdf | Bin 0 -> 1406231 bytes week06_kmp_heap/heap.py | 51 ++++++++++++++++ week06_kmp_heap/substring.py | 55 ++++++++++++++++++ 4 files changed, 107 insertions(+), 1 deletion(-) create mode 100644 week06_kmp_heap/MSAI.2024.Algo.W06.slides.pdf create mode 100644 week06_kmp_heap/heap.py create mode 100644 week06_kmp_heap/substring.py diff --git a/README.md b/README.md index 0e5edda..0767216 100644 --- a/README.md +++ b/README.md @@ -44,8 +44,8 @@ | 03 | Basic Data sturctures | [Slides][Slides_W03] | [Test][WarmUp_test_W03] | [Contest][ContestID_W03] | 28.10.2024 19:00 UTC+3 | | 04 | Dynamic programming | [Slides][Slides_W04] | [Test][WarmUp_test_W04] | [Contest][ContestID_W04] | 04.11.2024 19:00 UTC+3 | | 05 | Knapsack problem | [Slides][Slides_W05] | 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data[child_min], data[i] + sift_down(data, child_min) + + +def heapify(data): + for i in range(len(data) - 1, -1, -1): + sift_down(data, i) + + +def heappush(data, x): + data.append(x) + sift_up(data, len(data) - 1) + + +def heappop(data, i=0): + data[i], data[-1] = data[-1], data[i] + res = data.pop() + sift_up(data, i) + sift_down(data, i) + return res + + +if __name__ == '__main__': + n = random.randint(0, 100) + h = [random.randint(0, 1000) for i in range(n)] + + heapify(h) + while len(h) > 0: + print(heappop(h)) diff --git a/week06_kmp_heap/substring.py b/week06_kmp_heap/substring.py new file mode 100644 index 0000000..a5cbe83 --- /dev/null +++ b/week06_kmp_heap/substring.py @@ -0,0 +1,55 @@ +def find_substrings_naive(s, p): + N = len(s) + K = len(p) + substrings = [] + for i in range(N - K + 1): + if all([s[i + j] == p[j] for j in range(K)]): + substrings.append(i) + return substrings + + +def prefix_function(s): + d = [0] * (len(s) + 1) + for i in range(2, len(d)): + d[i] = d[i - 1] + while s[i - 1] != s[d[i]] and d[i] > 0: + d[i] = d[d[i]] + if s[i - 1] == s[d[i]]: + d[i] += 1 + return d + + +def find_substrings_kmp(s, p): + substrings = [] + d = prefix_function(p + '$' + s) + for i in range(len(p) + 1, len(d)): + if d[i] == len(p): + substrings.append(i - 2 * len(p) - 1) + return substrings + + +def find_substrings_native(s, p): + i = -1 + substrings = [] + while True: + i = s.find(p, i + 1) + if i >= 0: + substrings.append(i) + else: + return substrings + +from time import time +if __name__ == '__main__': + #s = input().strip() + #p = input().strip() + s = 'a' * 100000 + 'b' + p = 'a' * 50000 + 'b' + + t1 = time() + print('Python: ', ' '.join(map(str, find_substrings_native(s, p)))) + t2 = time() + #print('Naive : ', ' '.join(map(str, find_substrings_naive(s, p)))) + t3 = time() + print('KMP : ', ' '.join(map(str, find_substrings_kmp(s, p)))) + t4 = time() + print(f'{t2 - t1:.8f}, {t3 - t2:.8f}, {t4 - t3:.8f}')