From d417d52d76ca57c0662fc142a29bd1344c0a030a Mon Sep 17 00:00:00 2001 From: Samuel Ortion Date: Tue, 5 Mar 2024 12:35:55 +0100 Subject: [PATCH] First class --- .gitattributes | 0 content/chapters/part1/1.tex | 141 +++++++++++++++++++++++++++++++++++ definitions.tex | 3 + main.pdf | Bin 130 -> 125198 bytes main.tex | 56 ++++++++------ 5 files changed, 178 insertions(+), 22 deletions(-) mode change 100644 => 100755 .gitattributes diff --git a/.gitattributes b/.gitattributes old mode 100644 new mode 100755 diff --git a/content/chapters/part1/1.tex b/content/chapters/part1/1.tex index e69de29..802cd9f 100755 --- a/content/chapters/part1/1.tex +++ b/content/chapters/part1/1.tex @@ -0,0 +1,141 @@ +\chapter{Back to basics} + +\begin{algorithm} + \caption{Search an element in an array} + \begin{algorithmic}[1] + \Function{Search}{A: Array(n), E: element} + \For {(i=0; i < n; i++)} + \If {A[i] $ = $ E} + \State \Return \True + \EndIf + \EndFor + \State \Return \False + \EndFunction + \end{algorithmic} +\end{algorithm} + +\begin{algorithm} + \caption{Search an element in an array using a while loop} + \begin{algorithmic}[1] + \Function{Search}{A: Array(n), E: element} + \State $i \gets 0$ + \While {$i < n$} + \If {A[i] $ = $ E} + \State \Return \True + \EndIf + \State $i \gets i + 1$ + \EndWhile + \State \Return \False + \EndFunction + \end{algorithmic} +\end{algorithm} + +\begin{algorithm} + \caption{Search an element in an array using a while loop (bis)} + \begin{algorithmic}[1] + \Function{Search}{A: Array(n), E: element} + \Comment{Version prefered by the professor} + \State $i \gets 0$ + \While {$i < n$ and $A[i] \neq E$} + \If {A[i] $ = $ E} + \State \Return \True + \EndIf + \State $i \gets i + 1$ + \EndWhile + \If {$i = n$} + \State \Return \False + \Else + \State \Return \True + \EndIf + \EndFunction + \end{algorithmic} +\end{algorithm} + +\begin{algorithm} + \caption{Count the occurences of an element in an array} + \begin{algorithmic}[1] + \Function{Search}{A: Array(n), E: element} + \State $c \gets 0$ + \For{$i = 0$; $i < n$; $i++$} + \If {A[i] $ = $ E} + \State $c \gets c + 1$ + \EndIf + \EndFor + \State \Return $c$ + \EndFunction + \end{algorithmic} +\end{algorithm} + +\chapter{Motif} + +\begin{algorithm} + \caption{Brute-force search of a motif in a sequence} + \begin{algorithmic}[1] + \Function{FindMotif}{S: Array(n), M: Array(m)} + \Returns{list of position} + \State $pos \gets $ empty list + \State $i \gets 0$ + \While {$i < n - m + 1$} + \State $j \gets 0$ + \While {$j < m$ and S[i+j] $ = $ M[j]} + \State $j++$ + \EndWhile + \If {$j = m$} + \State add $i$ to $pos$ + \EndIf + \State $i++$ + \EndWhile + \State \Return $pos$ + \EndFunction + \end{algorithmic} +\end{algorithm} + +\begin{algorithm} + \caption{Knuth-Morris-Pratt algorithm} + \begin{algorithmic}[1] + \Function{KMP\_Search}{S: Array(n), M: Array(m)} + \Returns{Integer} + \State $table \gets \Call{KMP\_Table}{M}$ + \State $c \gets 0$ \Comment{Count the number of matches} + \State $i \gets 0$ + \State $j \gets 0$ + \While {$i < n$} + \If{$S[i] = M[i]$} + \State $i \gets i + 1$ + \State $j \gets j + 1$ + \EndIf + \If {$j = m$} + \State $c \gets c + 1$ + \State $j \gets table[j-1]$ + \ElsIf {$j < n$ and $M[j] \neq S[i]$} + \If {$j \neq 0$} + \State $j \gets table[j-1]$ + \Else + \State $i \gets i + 1$ + \EndIf + \EndIf` + \EndWhile + \State \Return $c$ + \EndFunction + + \Function{KMP\_Table}{M: Array(m)} + \State \textbf{Returns} Array(m) + \State $previous \gets 0$ + \State $table \gets $ array of zeros of size m + \For {$i = 0$; $i < m$; $i++$} + \If {$M[i] = M[previous]$} + \State $previous \gets previous + 1$ + \State $table[i] \gets previous$ + \State $i \gets i + 1$ + \Else + \If {$previous = 0$} + \State $previous \gets table[previous - 1]$ + \Else + \State $table[i] \gets 0$ + \State $i \gets 1$ + \EndIf + \EndIf + \EndFor + \EndFunction + \end{algorithmic} +\end{algorithm} diff --git a/definitions.tex b/definitions.tex index 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