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5 Searching Algorithms added in C++ #6

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30 changes: 30 additions & 0 deletions C++/Searching/BinarySearch.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,30 @@
#include<iostream>
#include<bits/stdc++.h>
using namespace std;

int binarySearch(int arr[], int n, int key){
int end = n-1;
int start = 0;

while(start <= end){
int mid = (start + end)/2;

if(arr[mid]<key){
start = mid+1;
}
else if(arr[mid]>key) {
end = mid - 1;
}
else {
cout<<"Element found "<<endl;
break;
}

}

}

int main() {

return 0;
}
104 changes: 104 additions & 0 deletions C++/Searching/BreadthFirstSearch.cpp
Original file line number Diff line number Diff line change
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// Program to print BFS traversal from a given
// source vertex. BFS(int s) traverses vertices
// reachable from s.
#include<iostream>
#include <list>

using namespace std;

// This class represents a directed graph using
// adjacency list representation
class Graph
{
int V; // No. of vertices

// Pointer to an array containing adjacency
// lists
list<int> *adj;
public:
Graph(int V); // Constructor

// function to add an edge to graph
void addEdge(int v, int w);

// prints BFS traversal from a given source s
void BFS(int s);
};

Graph::Graph(int V)
{
this->V = V;
adj = new list<int>[V];
}

void Graph::addEdge(int v, int w)
{
adj[v].push_back(w); // Add w to v’s list.
}

void Graph::BFS(int s)
{
// Mark all the vertices as not visited
bool *visited = new bool[V];
for(int i = 0; i < V; i++)
visited[i] = false;

// Create a queue for BFS
list<int> queue;

// Mark the current node as visited and enqueue it
visited[s] = true;
queue.push_back(s);

// 'i' will be used to get all adjacent
// vertices of a vertex
list<int>::iterator i;

while(!queue.empty())
{
// Dequeue a vertex from queue and print it
s = queue.front();
cout << s << " ";
queue.pop_front();

// Get all adjacent vertices of the dequeued
// vertex s. If a adjacent has not been visited,
// then mark it visited and enqueue it
for (i = adj[s].begin(); i != adj[s].end(); ++i)
{
if (!visited[*i])
{
visited[*i] = true;
queue.push_back(*i);
}
}
}
}

// Driver program to test methods of graph class
int main()
{


int n=100,ch=1;
cout<<"Enter n.o of vertices\n";
cin>>n;
Graph g(n);
do
{ int a,b;
cout<<"Enter 2 vertices between which you want to add edge\n";
cin>>a>>b;
g.addEdge(a,b);
cout<<"You want to add new edge press 1\n";
cin>>ch;
}
while(ch==1);
int bfs_node;
cout<<"Enter BFS starting vertex";
cin>>bfs_node;
cout << "Following is Breadth First Traversal "
<< "(starting from vertex "<<bfs_node<<")"<<"\n";
g.BFS(bfs_node);

return 0;
}
94 changes: 94 additions & 0 deletions C++/Searching/DepthFirstSearch.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,94 @@
// C++ program to print DFS traversal from
// a given vertex in a given graph
#include<bits/stdc++.h>
using namespace std;

// Graph class represents a directed graph
// using adjacency list representation
class Graph
{
int V; // No. of vertices

// Pointer to an array containing
// adjacency lists
list<int> *adj;

// A recursive function used by DFS
void DFSUtil(int v, bool visited[]);
public:
Graph(int V); // Constructor

// function to add an edge to graph
void addEdge(int v, int w);

// DFS traversal of the vertices
// reachable from v
void DFS(int v);
};

Graph::Graph(int V)
{
this->V = V;
adj = new list<int>[V];
}

void Graph::addEdge(int v, int w)
{
adj[v].push_back(w); // Add w to v’s list.
}

void Graph::DFSUtil(int v, bool visited[])
{
// Mark the current node as visited and
// print it
visited[v] = true;
cout << v << " ";

// Recur for all the vertices adjacent
// to this vertex
list<int>::iterator i;
for (i = adj[v].begin(); i != adj[v].end(); ++i)
if (!visited[*i])
DFSUtil(*i, visited);
}

// DFS traversal of the vertices reachable from v.
// It uses recursive DFSUtil()
void Graph::DFS(int v)
{
// Mark all the vertices as not visited
bool *visited = new bool[V];
for (int i = 0; i < V; i++)
visited[i] = false;

// Call the recursive helper function
// to print DFS traversal
DFSUtil(v, visited);
}


int main()
{


int n=100,ch=1;
cout<<"Enter n.o of vertices\n";
cin>>n;
Graph g(n);
do
{ int a,b;
cout<<"Enter 2 vertices between which you want to add edge\n";
cin>>a>>b;
g.addEdge(a,b);
cout<<"You want to add new edge press 1 \n";
cin>>ch;
}
while(ch==1);
int dfs_node;
cout<<"Enter DFS starting vertex";
cin>>dfs_node;
cout << "Following is Depth First Traversal "
<< "(starting from vertex "<<dfs_node<<")"<<"\n";
g.DFS(dfs_node);
return 0;
}
72 changes: 72 additions & 0 deletions C++/Searching/ExponentialSearch.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,72 @@
// C++ program to find an element x in a
// sorted array using Exponential search.
#include <bits/stdc++.h>
using namespace std;

int binarySearch(int arr[], int, int, int);

// Returns position of first occurrence of
// x in array
int exponentialSearch(int arr[], int n, int x)
{
// If x is present at firt location itself
if (arr[0] == x)
return 0;

// Find range for binary search by
// repeated doubling
int i = 1;
while (i < n && arr[i] <= x)
i = i*2;

// Call binary search for the found range.
return binarySearch(arr, i/2, min(i, n), x);
}

// A recursive binary search function. It returns
// location of x in given array arr[l..r] is
// present, otherwise -1
int binarySearch(int arr[], int l, int r, int x)
{
if (r >= l)
{
int mid = l + (r - l)/2;

// If the element is present at the middle
// itself
if (arr[mid] == x)
return mid;

// If element is smaller than mid, then it
// can only be present n left subarray
if (arr[mid] > x)
return binarySearch(arr, l, mid-1, x);

// Else the element can only be present
// in right subarray
return binarySearch(arr, mid+1, r, x);
}

// We reach here when element is not present
// in array
return -1;
}

// Driver code
int main(void)
{ cout<<"Enter size of array\n";
int n;
cin>>n;
int arr[n];
cout<<"Enter array elements";
for(int i=0;i<n;i++)
{
cin>>arr[i];
}
int x;
cout<<"Enter the Element you want to search\n";
cin>>x;
int result = exponentialSearch(arr, n, x);
(result == -1)? printf("Element is not present in array"): printf("Element is present at index %d",result);
return 0;
}
47 changes: 47 additions & 0 deletions C++/Searching/RecursiveLinearSearch.cpp
Original file line number Diff line number Diff line change
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// Recursive C++ program
// to search x in array
#include<bits/stdc++.h>

using namespace std;

// Recursive function to
// search x in arr[l..r]
int recSearch(int arr[], int l,
int r, int x)
{
if (r < l)
return -1;
if (arr[l] == x)
return l;
if (arr[r] == x)
return r;
return recSearch(arr, l + 1,
r - 1, x);
}

// Driver Code
int main()
{
cout<<"Enter size of array \n";
int n;
cin>>n;
int arr[n];
cout<<"Enter array elements";
for(int i=0;i<n;i++)
{
cin>>arr[i];
}
int x;
cout<<"Enter the Element you want to search\n";
cin>>x;

int index = recSearch(arr, 0, n - 1, x);
if (index != -1)
cout << "Element " << x
<< " is present at index "
<< index;
else
cout << "Element" << x
<< " is not present" ;
return 0;
}