From a778c4fc133d24740f2624219b7207b2ffff5304 Mon Sep 17 00:00:00 2001 From: Ivan Solomatin Date: Mon, 9 Dec 2024 21:02:28 +0300 Subject: [PATCH] Added W10 materials --- README.md | 2 +- week10_hashing/MSAI.2024.Algo.W10.slides.pdf | Bin 0 -> 1328412 bytes week10_hashing/rabin_karp.py | 34 +++++++++++++++++++ 3 files changed, 35 insertions(+), 1 deletion(-) create mode 100644 week10_hashing/MSAI.2024.Algo.W10.slides.pdf create mode 100644 week10_hashing/rabin_karp.py diff --git a/README.md b/README.md index d8b49aa..cfc0add 100644 --- a/README.md +++ b/README.md @@ -48,8 +48,8 @@ | 07 | DFS & BFS | [Slides][Slides_W07] | [Test][WarmUp_test_W07] | [Contest][ContestID_W07] | 25.11.2024 19:00 UTC+3 | | 08 | Shortest paths | [Slides][Slides_W08] | [Test][WarmUp_test_W08] | [Contest][ContestID_W08] | 02.12.2024 19:00 UTC+3 | | 09 | RSQ & RMQ | [Slides][Slides_W09] | [Test][WarmUp_test_W09] | [Contest][ContestID_W09] | 09.12.2024 19:00 UTC+3 | +| 10 | Hashing | [Slides][Slides_W10] | 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100644 index 0000000..b3fd59d --- /dev/null +++ b/week10_hashing/rabin_karp.py @@ -0,0 +1,34 @@ +from random import randint + + +def c_to_i(ch): + return ord(ch) - ord('a') + 1 + + +p = 10**9 + 7 +a = randint(c_to_i('z') + 1, p - 1) + + +def find_substrings_rabin_karp(s, t): + h = [0] * (len(s) + 1) + a_pow = [1] * (len(s) + 1) + for i in range(len(s)): + h[i + 1] = (h[i] + c_to_i(s[i]) * a_pow[i]) % p + a_pow[i + 1] = (a_pow[i] * a) % p + + h_t = 0 + for i in range(len(t)): + h_t = (h_t + c_to_i(t[i]) * a_pow[i]) % p + + substrings = [] + for i in range(len(s) - len(t) + 1): + if (h_t * a_pow[i]) % p == (h[i + len(t)] - h[i]) % p: + if all([s[i + j] == t[j] for j in range(len(t))]): + substrings.append(i) + return substrings + + +if __name__ == '__main__': + s = input().strip() + t = input().strip() + print(' '.join(map(str, find_substrings_rabin_karp(s, t))))