From c55ce4b125a236decd1607a891ca4b69b78b945e Mon Sep 17 00:00:00 2001
From: SAHIL SHARMA <76551267+KIET7UKE@users.noreply.github.com>
Date: Thu, 20 Oct 2022 18:40:01 +0530
Subject: [PATCH] Added Bit Set Algorithm Solutions

---
 BIT set/Bit Difference.cpp                    | 54 +++++++++++++++
 ...of a number without using pow and sqrt.cpp | 34 +++++++++
 ...tiplication, division and mod operator.cpp | 49 +++++++++++++
 BIT set/Find position of set bit.cpp          | 43 ++++++++++++
 BIT set/Non Repeating Numbers.cpp             | 69 +++++++++++++++++++
 5 files changed, 249 insertions(+)
 create mode 100644 BIT set/Bit Difference.cpp
 create mode 100644 BIT set/Calculate square of a number without using pow and sqrt.cpp
 create mode 100644 BIT set/Divide two integers without using multiplication, division and mod operator.cpp
 create mode 100644 BIT set/Find position of set bit.cpp
 create mode 100644 BIT set/Non Repeating Numbers.cpp

diff --git a/BIT set/Bit Difference.cpp b/BIT set/Bit Difference.cpp
new file mode 100644
index 0000000..86bf312
--- /dev/null
+++ b/BIT set/Bit Difference.cpp	
@@ -0,0 +1,54 @@
+// { Driver Code Starts
+//Initial Template for C++
+
+#include<bits/stdc++.h>
+using namespace std;
+
+
+ // } Driver Code Ends
+//User function Template for C++
+
+class Solution{
+    public:
+    // Function to find number of bits needed to be flipped to convert A to B
+    int countBitsFlip(int a, int b){
+        
+        // Your logic here
+        int diff=0;
+        if(a<b)
+            swap(a,b);
+        while(a>0&&b>0)
+        {
+            if(a%2!=b%2)//if any bit does not matches
+            diff++;
+            a/=2;
+            b/=2;
+        }
+        while(a>0)// if(still a bits are left)
+        {
+            if(a%2==1)//a bit is set than only set will different
+              diff++;
+            a/=2;
+            
+        }
+        return diff;
+    }
+};
+
+// { Driver Code Starts.
+
+// Driver Code
+int main()
+{
+	int t;
+	cin>>t;// input the testcases
+	while(t--) //while testcases exist
+	{
+		int a,b;
+		cin>>a>>b; //input a and b
+
+        Solution ob;
+		cout<<ob.countBitsFlip(a, b)<<endl;
+	}
+	return 0;
+}  // } Driver Code Ends
diff --git a/BIT set/Calculate square of a number without using pow and sqrt.cpp b/BIT set/Calculate square of a number without using pow and sqrt.cpp
new file mode 100644
index 0000000..737b271
--- /dev/null
+++ b/BIT set/Calculate square of a number without using pow and sqrt.cpp	
@@ -0,0 +1,34 @@
+// Square of a number using bitwise operators
+#include <bits/stdc++.h>
+using namespace std;
+
+int square(int n)
+{
+	// Base case
+	if (n == 0)
+		return 0;
+
+	// Handle negative number
+	if (n < 0)
+		n = -n;
+
+	// Get floor(n/2) using right shift
+	int x = n >> 1;
+
+	// If n is odd
+	if (n & 1)
+		return ((square(x) << 2) + (x << 2) + 1);
+	else // If n is even
+		return (square(x) << 2);
+}
+
+// Driver Code
+int main()
+{
+	// Function calls
+	for (int n = 1; n <= 5; n++)
+		cout << "n = " << n << ", n^2 = " << square(n)
+			<< endl;
+	return 0;
+}
+
diff --git a/BIT set/Divide two integers without using multiplication, division and mod operator.cpp b/BIT set/Divide two integers without using multiplication, division and mod operator.cpp
new file mode 100644
index 0000000..2f789bd
--- /dev/null
+++ b/BIT set/Divide two integers without using multiplication, division and mod operator.cpp	
@@ -0,0 +1,49 @@
+// C++ implementation to Divide two
+// integers without using multiplication,
+// division and mod operator
+#include <bits/stdc++.h>
+using namespace std;
+
+// Function to divide a by b and
+// return floor value it
+int divide(long long dividend, long long divisor) {
+
+// Calculate sign of divisor i.e.,
+// sign will be negative only iff
+// either one of them is negative
+// otherwise it will be positive
+int sign = ((dividend < 0) ^
+			(divisor < 0)) ? -1 : 1;
+
+// remove sign of operands
+dividend = abs(dividend);
+divisor = abs(divisor);
+
+// Initialize the quotient
+long long quotient = 0, temp = 0;
+
+// test down from the highest bit and
+// accumulate the tentative value for
+// valid bit
+for (int i = 31; i >= 0; --i) {
+
+	if (temp + (divisor << i) <= dividend) {
+	temp += divisor << i;
+	quotient |= 1LL << i;
+	}
+}
+
+return sign * quotient;
+}
+
+// Driver code
+int main() {
+int a = 10, b = 3;
+cout << divide(a, b) << "\n";
+
+a = 43, b = -8;
+cout << divide(a, b);
+
+return 0;
+}
+
diff --git a/BIT set/Find position of set bit.cpp b/BIT set/Find position of set bit.cpp
new file mode 100644
index 0000000..26f5611
--- /dev/null
+++ b/BIT set/Find position of set bit.cpp	
@@ -0,0 +1,43 @@
+// { Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+ // } Driver Code Ends
+class Solution {
+  public:
+    int findPosition(int N) {
+        // code here
+        if(N==1)
+        return 1;
+        int res=log2(N);
+        float ans=log2(N);
+        if(ans!=res)
+        {
+            return -1;
+        }
+        int c=1;
+        while(N>0)
+        {
+            if(N%2==1)
+            return c;
+            N/=2;
+            c++;
+        }
+        return -1;
+    }
+};
+
+// { Driver Code Starts.
+int main() {
+    int t;
+    cin >> t;
+    while (t--) {
+        int N;
+
+        cin>>N;
+
+        Solution ob;
+        cout << ob.findPosition(N) << endl;
+    }
+    return 0;
+}  // } Driver Code Ends
diff --git a/BIT set/Non Repeating Numbers.cpp b/BIT set/Non Repeating Numbers.cpp
new file mode 100644
index 0000000..f13b3e9
--- /dev/null
+++ b/BIT set/Non Repeating Numbers.cpp	
@@ -0,0 +1,69 @@
+// { Driver Code Starts
+#include<bits/stdc++.h>
+using namespace std;
+
+ // } Driver Code Ends
+class Solution
+{
+public:
+    vector<int> singleNumber(vector<int> nums) 
+    {
+        // Code here.
+        int x1=0,a,b;
+        vector<int> v;
+        for(int i=0;i<nums.size();i++)
+             x1=nums[i]^x1;
+        
+        
+        int rmsb=x1 & -x1;//right most set bit
+        int x=0,y=0;
+        for(int i=0;i<nums.size();i++)
+        {
+            if((rmsb&nums[i])==0)
+            {
+                x=x^nums[i];
+            }
+            else
+            {
+                
+                y=y^nums[i];
+            }
+        }
+        if(y<x)
+        return {y,x};
+        else
+        return {x,y};
+        
+        
+        
+        
+        
+        
+        
+        
+        
+        
+        
+        
+    }
+};
+
+// { Driver Code Starts.
+int main(){
+    int T;
+    cin >> T;
+    while(T--)
+    {
+    	int n; 
+    	cin >> n;
+    	vector<int> v(2 * n + 2);
+    	for(int i = 0; i < 2 * n + 2; i++)
+    		cin >> v[i];
+    	Solution ob;
+    	vector<int > ans = ob.singleNumber(v);
+    	for(auto i: ans)
+    		cout << i << " ";
+    	cout << "\n";
+    }
+	return 0;
+}  // } Driver Code Ends