From 5ed025b52887ba9ed2a55fa2f97928ef17fa5e31 Mon Sep 17 00:00:00 2001
From: Aybala Karakaya <41472707+aaybala@users.noreply.github.com>
Date: Mon, 27 Feb 2023 23:23:40 +0300
Subject: [PATCH 1/5] Uptade Bundle 2.
---
.../02-algorithms-1/latex/02-algorithms-1.tex | 29 +++++++++++--------
1 file changed, 17 insertions(+), 12 deletions(-)
diff --git a/bundles/02-algorithms-1/latex/02-algorithms-1.tex b/bundles/02-algorithms-1/latex/02-algorithms-1.tex
index 050cb60..f1c9f8f 100644
--- a/bundles/02-algorithms-1/latex/02-algorithms-1.tex
+++ b/bundles/02-algorithms-1/latex/02-algorithms-1.tex
@@ -149,7 +149,7 @@
\newcommand{\mytitle}
{
\textbf {
- inzva Algorithm Programme 2018-2019\\ \ \\
+ inzva Algorithm Program 2018-2019\\ \ \\
Bundle 2 \\ \ \\
Algorithms - 1 \\ \ \\
}
@@ -162,7 +162,9 @@
Kadir Emre Oto \\ \ \\
\textbf{Reviewers} \\
Muhammed Burak Buğrul \\
- Tahsin Enes Kuru
+ Tahsin Enes Kuru \\ \ \\
+ \textbf{Contributors} \\
+ Aybala Karakaya \\
}
\date{}
@@ -189,7 +191,8 @@
\subsection{Linear Search}
Simplest search algorithm is \textit{linear search}, also know as \textit{sequential search}. In this technique, all elements in the collection of the data is checked one by one, if any element matches, algorithm returns the index; otherwise, it returns -1. \\ \\
-ity is $O(N)$
+\textbf{Complexity: }
+ $O(N)$
\begin{figure}[h]
\centering
@@ -212,15 +215,15 @@
\subsection{Binary Search}
-We know linear search is quite a slow algorithm because it compares each element of the set with search key, and there is a high-speed searching technique for \textbf{sorted} data instead of linear search, which is \textbf{binary search}. After each comparison, the algorithm eliminates half of the data using the sorting property.
+We know the linear search is quite a slow algorithm because it compares each element of the set with the search key, and there is a high-speed searching technique for \textbf{sorted} data instead of linear search, which is the \textbf{binary search}. After each comparison, the algorithm eliminates half of the data using the sorting property.
We can also use binary search on increasing functions in the same way.
\textbf{Procedure: }
\begin{itemize}
\item Compare the key with the middle element of the array,
- \item If it is a match, return the index of middle.
- \item If the key is bigger than the middle, it means that the key must be in the right side of the middle. We can eliminate the left side.
+ \item If it is a match, return the index of the middle.
+ \item If the key is bigger than the middle, it means that the key must be on the right side of the middle. We can eliminate the left side.
\item If the key is smaller, it should be on the left side. The right side can be ignored.
\end{itemize}
@@ -316,15 +319,17 @@
\section{Sorting Algorithms}
- Sorting algorithms are used to put the elements of an array in a certain order according to the comparison operator. Numerical order or lexcographical orders are the most common ones, and there are a large number of sorting algorithms, but we discuss four of them: \textit{Insertion Sort}, \textit{Merge Sort}, \textit{Quick Sort}, \textit{Radix Sort}.
+ Sorting algorithms are used to put the elements of an array in a certain order according to the comparison operator. Numerical order or lexicographical orders are the most common ones, and there are a large number of sorting algorithms, but we discuss four of them: \textit{Insertion Sort}, \textit{Merge Sort}, \textit{Quick Sort}, \textit{Radix Sort}.
- For a better understanding, you are strongly recommended to go into this visualization site after reading the topics: \href{https://visualgo.net/en/sorting}{Link}
+ For a better understanding, you are strongly recommended to go to this visualization site after reading the topics: \href{https://visualgo.net/en/sorting}{Link}
\subsection{Insertion Sort}
Think that you are playing a card game and want to sort them before the game. Your sorting strategy is simple: you have already sorted some part and every time you pick up the next card from unsorted part, you insert it into the correct place in sorted part. After you apply this process to all cards, the whole deck would be sorted. \\ \\
This is the basic idea for sorting an array. We assume that the first element of the array is the sorted part, and other elements are in the unsorted part. Now, we choose the leftmost element of the unsorted part, and put it into the sorted part. In this way the left part of the array always remains sorted after every iteration, and when no element is left in the unsorted part, the array will be sorted.
+\textbf{Complexity: }
+ O($N^{2}$).
\begin{minted}[frame=lines,linenos,fontsize=\footnotesize]{c++}
void insertionSort(int *ar, int size){
@@ -338,7 +343,7 @@
\subsection{Merge Sort}
-\textit{Merge Sort} is one of the fastest sorting algorithms that uses \textit{Divide and Conquer} paradigm. The algorithm \textbf{divides} the array into two halves, solves each part \textbf{recursively} using same sorting function and \textbf{combines} them in linear time by selecting the smallest value of the arrays every time.
+\textit{Merge Sort} is one of the fastest sorting algorithms that uses \textit{Divide and Conquer} paradigm. The algorithm \textbf{divides} the array into two halves, solves each part \textbf{recursively} using the same sorting function and \textbf{combines} them in linear time by selecting the smallest value of the arrays every time.
\textbf{Procedure: }
\begin{enumerate}
@@ -424,7 +429,7 @@
\textbf{Procedure: }
\begin{enumerate}
- \item For each digit from the least significant to the most, sort the array using \textit{Counting Sort} according to corresponding digit. \textit{Counting Sort} is used for keys between specific range, and it counts the number of elements which have different key values. After counting the number of distict key values, we can determine the position of elements in the array.
+ \item For each digit from the least significant to the most, sort the array using \textit{Radix Sort} according to the corresponding digit. \textit{Radix Sort} is used for keys between specific range, and it counts the number of elements that have different key values. After counting the number of distinct key values, we can determine the position of elements in the array.
\end{enumerate}
\textbf{Complexity: }
@@ -470,12 +475,12 @@
\cleardoublepage
\section{Quickselect Algorithm}
- \textit{Quickselect} is a selection algorithm that \textit{finds the k-th smallest element in an unordered list}. The algorithm is closely related to QuickSort in partitioning stage; however, instead of recurring for both sides, it recurs only for the part that contains the k-th smallest element.
+ \textit{Quickselect} is a selection algorithm that \textit{finds the k-th smallest element in an unordered list}. The algorithm is closely related to QuickSort in the partitioning stage; however, instead of recurring for both sides, it recurs only for the part that contains the k-th smallest element.
\textbf{Procedure: }
\begin{enumerate}
\item Choose a pivot randomly,
- \item For all values in the array, collect smaller values in the left of the array and greater values in the right of the array,
+ \item For all values in the array, collect smaller values on the left of the array and greater values on the right of the array,
\item Move the pivot to the correct place,
\item If the current position is equal to k, return the value at the position.
\item If the current position is more than k, repeat the same algorithm for the left partition.
From 7180e7543e7ff7c11f9afd6570dd8ba28f51168f Mon Sep 17 00:00:00 2001
From: Aybala Karakaya <41472707+aaybala@users.noreply.github.com>
Date: Tue, 28 Feb 2023 18:51:51 +0300
Subject: [PATCH 2/5] Migrate the onsite contest to algoleague.
---
bundles/02-algorithms-1/README.md | 2 +-
1 file changed, 1 insertion(+), 1 deletion(-)
diff --git a/bundles/02-algorithms-1/README.md b/bundles/02-algorithms-1/README.md
index 22b12a5..463a611 100644
--- a/bundles/02-algorithms-1/README.md
+++ b/bundles/02-algorithms-1/README.md
@@ -1,6 +1,6 @@
Onsite Contest
--------------
-* https://www.hackerrank.com/inzva-02-algorithm-1-onsite-2018
+* https://algoleague.com/contest/algorithm-program-2018-2019-algorithm-onsite/description
Online Contest
--------------
From 420a810d5be8e381edcaf3876628ff6d2dfe8ef1 Mon Sep 17 00:00:00 2001
From: Aybala Karakaya <41472707+aaybala@users.noreply.github.com>
Date: Tue, 28 Feb 2023 21:26:58 +0300
Subject: [PATCH 3/5] Migrate the online contest to algoleague.
---
bundles/02-algorithms-1/README.md | 2 +-
1 file changed, 1 insertion(+), 1 deletion(-)
diff --git a/bundles/02-algorithms-1/README.md b/bundles/02-algorithms-1/README.md
index 463a611..2470368 100644
--- a/bundles/02-algorithms-1/README.md
+++ b/bundles/02-algorithms-1/README.md
@@ -4,4 +4,4 @@ Onsite Contest
Online Contest
--------------
-* https://www.hackerrank.com/inzva-02-algorithm-1-online-2018
+* https://algoleague.com/contest/algorithm-program-2018-2019-algorithm-online/description
From ad7bb0161a6f10a8e6b82bc662921c227c36d23c Mon Sep 17 00:00:00 2001
From: Aybala Karakaya <41472707+aaybala@users.noreply.github.com>
Date: Fri, 3 Mar 2023 02:33:44 +0300
Subject: [PATCH 4/5] Update 02-algorithms-1.tex
---
bundles/02-algorithms-1/latex/02-algorithms-1.tex | 9 ++++++---
1 file changed, 6 insertions(+), 3 deletions(-)
diff --git a/bundles/02-algorithms-1/latex/02-algorithms-1.tex b/bundles/02-algorithms-1/latex/02-algorithms-1.tex
index f1c9f8f..33bff40 100644
--- a/bundles/02-algorithms-1/latex/02-algorithms-1.tex
+++ b/bundles/02-algorithms-1/latex/02-algorithms-1.tex
@@ -149,7 +149,7 @@
\newcommand{\mytitle}
{
\textbf {
- inzva Algorithm Program 2018-2019\\ \ \\
+ inzva Algorithm Program \\ \ \\
Bundle 2 \\ \ \\
Algorithms - 1 \\ \ \\
}
@@ -215,7 +215,7 @@
\subsection{Binary Search}
-We know the linear search is quite a slow algorithm because it compares each element of the set with the search key, and there is a high-speed searching technique for \textbf{sorted} data instead of linear search, which is the \textbf{binary search}. After each comparison, the algorithm eliminates half of the data using the sorting property.
+Linear search is quite a slow algorithm because it compares each element of the set with a search key. There is a high-speed searching technique for \textbf{sorted} data instead of linear search. This technique is called the \textbf{binary search}. After each comparison, the algorithm eliminates half of the data using the sorting property.
We can also use binary search on increasing functions in the same way.
@@ -429,7 +429,10 @@
\textbf{Procedure: }
\begin{enumerate}
- \item For each digit from the least significant to the most, sort the array using \textit{Radix Sort} according to the corresponding digit. \textit{Radix Sort} is used for keys between specific range, and it counts the number of elements that have different key values. After counting the number of distinct key values, we can determine the position of elements in the array.
+ \item Start from the least significant digit of the integers being sorted.
+ \item Apply \textit{Counting Sort} to the entire array based on the digit at the current position. We use \textit{Counting Sort} to compute a cumulative count of the number of integers that are less than or equal to each integer in the array based on their digit at the current position. This count is used to determine the final position of each integer in the sorted array.
+ \item If we are not considering the most significant digit, move to the digit on the left and repeat Step 2.
+ \item If we have considered all digits, the array is now sorted in ascending order based on the digits of the integers.
\end{enumerate}
\textbf{Complexity: }
From 569d1952a01a08970ec39b62780358569d557959 Mon Sep 17 00:00:00 2001
From: Aybala Karakaya <41472707+aaybala@users.noreply.github.com>
Date: Fri, 3 Mar 2023 02:45:31 +0300
Subject: [PATCH 5/5] Add files via upload
---
bundles/02-algorithms-1/02-algorithms-1.pdf | Bin 363043 -> 375200 bytes
1 file changed, 0 insertions(+), 0 deletions(-)
diff --git a/bundles/02-algorithms-1/02-algorithms-1.pdf b/bundles/02-algorithms-1/02-algorithms-1.pdf
index c83bfe74bb97ccea6f1b8b2fff9935358f577430..868af3191492d891dda531ee44abc13aa354e94b 100644
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