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[Fizyka dla informatyków](fizyka_dla_informatyków/Fizyka%20dla%20informatyków.md) -[Wprowadzenie do informatyki](wprowadzenie_do_informatyki/Wprowadzenie%20do%20informatyki.md) +[Wprowadzenie do informatyki](wprowadzenie_do_informatyki/historia/Wprowadzenie%20do%20informatyki.md) diff --git a/uczelnia/1_semestr/algorytmy/Notatka przed kolokwium.md b/uczelnia/1_semestr/algorytmy/Notatka przed kolokwium.md new file mode 100644 index 0000000..5c660e0 --- /dev/null +++ b/uczelnia/1_semestr/algorytmy/Notatka przed kolokwium.md @@ -0,0 +1,101 @@ +# Algorytm +## Co to jest algorytm + Algorytm - dokładny przepis podający sposób rozwiązania określonego zadania (algorytmicznego) w skończonej liczbie kolejnych kroków; zestaw poleceń odnoszących się do pewnych obiektów, ze wskazaniem porządku, w jakim mają być te polecenia realizowane. + +W kontekście komputera - zestaw kroków, które maszyna ma wykonać, by osiągnąć konkretny cel. +![](../../../media/Pasted%20image%2020251202145825.png) + +## Istotne metody opisu algorytmu +- Formalizm matematyczny +- Pseudokod +- Schemat blokowy + +### Schemat blokowy +[źródło grafiki](https://www.korepetycjezinformatyki.pl/schemat-blokowy/) +![](../../../media/Pasted%20image%2020251202163629.png) + +# Algorytm sortowania +## Sortowanie bąbelkowe +![](../../../media/Pasted%20image%2020251202151437.png) +Porównujemy po kolei wszystkie kolejne party w tablicy i zamieniamy miejscami. +## Sortowanie przez wybieranie +![](../../../media/Pasted%20image%2020251202151233.png) +Wybieramy z tablicy najmniejsze elementy i wstawiamy je na początek. +(TE ALGORYTMY BYŁYBY O WIELE BARDZIEJ ZROZUMIAŁE GDYBY ZAMIAST LOSOWYCH LITEREK DAWAŁ JAKIEŚ SENSOWNE SŁOWA JAKO NAZWY ZMIENNYCH) +## Sortowanie przez wstawianie +![](../../../media/Pasted%20image%2020251202151416.png) +Przechodzimy przez całą tablicę i porównujemy kolejne elementy. Coś jak bubble sort, ale zamiast przechodzić parami to porównujemy, aż nie będzie mniejszego elementu. + +# Złożoność obliczeniowa algorytmów +## Źródła +- https://www.samouczekprogramisty.pl/podstawy-zlozonosci-obliczeniowej/ +- https://cpp0x.pl/kursy/Teoria-w-Informatyce/424 + +## Jak to działa +Każda operacja to jedna jednostka czasu. + +Definicja Złożoność czasowa to liczba operacji dominujących (podstawowych) wykonanych przez algorytm w czasie jego realizacji, wyrażona jako funkcja rozmiaru danych. + +## Typy +### Optymistyczna +Najbardziej korzystny przypadek: wszystkie pętle wykonują się max 1 raz. +### Pesymistyczna +Najmniej korzystny przypadek: wszystkie pętle wykonują się max ilość razy. +### Średnia +Chuj wie tak szczerze. + +Gemini wjebał mi to: +> **Średnia (Average Case)** To najbardziej realistyczny scenariusz. Zakładamy, że dane są **losowe** (nie są ułożone specjalnie złośliwie, ani idealnie). + - **Jak to liczyć "na chłopski rozum":** Sumujesz liczbę kroków dla każdego możliwego ułożenia danych i dzielisz przez liczbę tych ułożeń. + - **Przykład:** W sortowaniu szybkim (Quicksort) pesymistycznie masz O(n2) (jak masz pecha), ale średnio (w 99% przypadków) masz O(nlogn). Dlatego używamy go w praktyce, mimo że teoretycznie może być wolny. +## Pojebane notacje +Mamy notacje: +- Duże O - oszacowanie z góry. Pomijamy wszelkiego rodzaju stałe +- Ω (omega) - oszacowanie z dołu. +- Θ (theta) - używamy, gdy algorytm zachowuje się tak samo przy O i omega, czyli oszacowania z góry i z dołu się spotykają. +## Rzędy złożoności obliczeniowej +- O(1) - złożoność stała, niezależna od danych wejściowych. +- O(n) - złożoność liniowa. Czas rozwiązania jest wprost proporcjonalny do wielkości danych wejściowych. +- O(log(n)) - złożoność logarytmiczna. Złożoność zależy od wyniku algorytmu. Rozwiązania, które dzielą problem na mniejsze części przeważnie są zależne od logarytmu wielkości danych wejściowych. +- O(n * log(n)) złożoność logarytmiczno-liniowa. Złożoność zależy od wyniku logarytmu i jest wprost proporcjonalna. +- O($n^2$) - złożoność kwadratowa, czyli specyficzny przypadek złożoności wielomianowej. Przeważnie występuje przy zagnieżdżonych pętlach. Chujowa jest generalnie, bo wymaga dużo obliczeń, dlatego nie zagnieżdżamy pętl. Chyba, że taką na szyi, to możesz ją sobie zagnieździć. +- O($n^x$) - złożoność wielomianowa, czyli jeszcze chujowsza niż kwadratowa. +- O($x^n$) - złożoność wykładnicza. Duża fhuj. +- O(n!) - złożoność typu silnia. Fhujowiej dużo. + +## WAŻNE, czyli jak obliczać to gówno +- Sprawdzamy o co pytają, czyli jak rośnie liczba jakiej operacji. +- Podstawiamy sobie jakieś ładne dane do optymistycznego i chujowe do pesymistycznego. +- Możemy sobie rozpisać kolejne iteracje. +- Sprawdzamy ile razy wywołała się ta operacja, która była w pytaniu. +Essa essunia. +# Algorytmy rekurencyjne +Rekurencja polega na wywoływaniu funkcji przez samą siebie ze zmienionym argumentami. Każda funkcja rekurencyjna potrzebuje warunku zakończenia, czyli jakiegoś ifa, który w pewnym momencie na pewno będzie prawdziwy i który przerwie pętle wywołań. +## Przerabianie iteracji na rekurencję +Znajdujemy warunek końca, sprawdzamy go, a potem wywołujemy siebie samą ze zmienionym argumentem. Np. +``` +// iteracyjnie +Euklides(a, b) { + while (b != a) { // <-- warunek końca + if (b > a) { + b = b - a // <-- "zmiana argumentu" + } else { + a = a - b // <-- "zmiana argumentu" + } + } + return b +} + +// rekurencyjnie +Euklides(a, b) { + if (b == a) { // <-- warunek końca + return b + } + + if (b > a) { + return Euklides(a, b - a) // <-- zmiana argumentu + } else { + return Euklides(a - b, b) // <-- zmiana argumentu + } +} +``` diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/Architektury komputerowe.md b/uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Architektury komputerowe.md similarity index 100% rename from uczelnia/1_semestr/wprowadzenie_do_informatyki/Architektury komputerowe.md rename to uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Architektury komputerowe.md diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/Kryptografia.md b/uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Kryptografia.md similarity index 100% rename from uczelnia/1_semestr/wprowadzenie_do_informatyki/Kryptografia.md rename to uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Kryptografia.md diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/Wprowadzenie do informatyki.md b/uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Wprowadzenie do informatyki.md similarity index 100% rename from uczelnia/1_semestr/wprowadzenie_do_informatyki/Wprowadzenie do informatyki.md rename to uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Wprowadzenie do informatyki.md diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/Zapis liczb rzeczywistych.md b/uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Zapis liczb rzeczywistych.md similarity index 100% rename from uczelnia/1_semestr/wprowadzenie_do_informatyki/Zapis liczb rzeczywistych.md rename to uczelnia/1_semestr/wprowadzenie_do_informatyki/historia/Zapis liczb rzeczywistych.md diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/laby/szyfrhilla.py b/uczelnia/1_semestr/wprowadzenie_do_informatyki/laby/szyfrhilla.py new file mode 100644 index 0000000..3dd8ecf --- /dev/null +++ b/uczelnia/1_semestr/wprowadzenie_do_informatyki/laby/szyfrhilla.py @@ -0,0 +1,50 @@ +import numpy as np + +def letter_to_num(letter): + return ord(letter.upper()) - ord('A') + +def num_to_letter(num): + return chr(num + ord('A')) + + +def cipher(text: str): + k = np.array([[3, 3], [2, 5]]) + text_upper = text.upper().replace(' ', '') + + if len(text_upper) % 2 != 0: + text_upper += "X" + + text_number = [letter_to_num(letter) for letter in text_upper] + + text_matrix = np.array(text_number).reshape(-1, 2).T + + c = (k @ text_matrix) % 26 + + cipher_text = ''.join(num_to_letter(num) for num in c.T.flatten()) + + return cipher_text + +def decipher(text: str): + k = np.array([[3, 3], [2, 5]]) + k_inv = np.linalg.inv(k) + text_upper = text.upper().replace(' ', '') + + if len(text_upper) % 2 != 0: + text_upper += "X" + + text_number = [letter_to_num(letter) for letter in text_upper] + + text_matrix = np.array(text_number).reshape(-1, 2).T + + c = (k_inv @ text_matrix) % 26 + + cipher_text = ''.join(num_to_letter(num) for num in c.T.flatten()) + + return cipher_text + +if __name__ == "__main__": + test_text = "Test" + cipher = cipher(test_text) + #decipher = decipher(cipher) + print("Text: ", test_text) + print("cipher: ", cipher) \ No newline at end of file diff --git a/uczelnia/1_semestr/wprowadzenie_do_informatyki/webowka/Historia internetu czy coś.md b/uczelnia/1_semestr/wprowadzenie_do_informatyki/webowka/Historia internetu czy coś.md new file mode 100644 index 0000000..f72a63e --- /dev/null +++ b/uczelnia/1_semestr/wprowadzenie_do_informatyki/webowka/Historia internetu czy coś.md @@ -0,0 +1,3 @@ +- 19*69* powstała pierwsze sieć komputerowa. 69 buahahha +- amazon pierwsza księgarnia internetowa +- frontend bakend