diff --git a/PPS md file 1915352 b/PPS md file 1915352
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+++ b/PPS md file 1915352	
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+![logo.png](https://i.imgur.com/9QO1ZX9.png)
+---
+## **<p align="center"> ESC-18104/18105 Programming for Problem Solving </p>**
+#### **<p align="center">Name - _Sourabh chouhan_ </p>**
+#### **<p align="center">CRN - _1915352_</p>**
+#### **<p align="center">Branch - _CSE C2_</p>**
+#### **<p align="center">Submitted to - _Ms. Goldendeep Kaur_</p>**
+---
+
+### 1) To print my name
+```C
+      /* Program to print your name */
+
+#include<stdio.h>
+int main() {
+
+puts("**************");
+puts("sourabh chouhan");
+puts("$$$$$$$$$$$$$$$");
+
+return 0;
+}
+```
+![myName.png](https://i.imgur.com/NSiEX8G.png)
+---
+
+### 2) To print College address.
+```C
+        /* College Address */
+ 
+#include<stdio.h>
+int main() {
+
+printf("\n\t\t\tGuru Nanak Dev Engineering College,");
+printf("\n\t\t\tGill Road,");
+printf("\n\t\t\tLudhiana , Punjab\n\n");
+
+return 0;
+}
+```
+![collegeAdd.png](https://i.imgur.com/ax6bZ3H.png)
+---
+
+### 3) Program to add two integers.
+```C
+     /* To add two integers */
+
+#include <stdio.h>
+int main() {
+    
+int a,b;
+
+printf("\nEnter the numbers....");
+
+printf("\nA:");
+scanf("%d",&a);
+
+printf("\nB:");
+scanf("%d",&b);
+
+a=a+b;
+
+printf("\n Sum of the number is %d \n",a);
+
+return 0;
+
+}
+```
+![add.png](https://i.imgur.com/BaHUHFI.png)
+---
+
+### 4) Program to find quotient and remainder.
+```C
+    /* To find quotient and remainder */
+
+#include <stdio.h>
+
+int main() {
+    
+int a,b,r,q;
+
+printf("\nEnter the Dividend:");
+scanf("%d",&a);
+
+printf("\nEnter the divisor:");
+scanf("%d",&b);
+
+r=a%b;
+q=a/b;
+
+printf("\nRemainder: %d",r);
+printf("\nQuotient: %d\n",q);
+
+return 0;
+}
+```
+![quotientRemainder.png](https://i.imgur.com/uFqYSxi.png)
+---
+
+### 5) Program to swap two variables without 3rd variable.
+```C
+    /* Swapping without 3rd variable  */
+
+#include <stdio.h>
+int main() {
+    
+int a,b;
+
+printf("\nEnter the value of A:");
+scanf("%d",&a);
+
+printf("\nEnter the value of B:");
+scanf("%d",&b);
+
+   a = a + b;
+   b = a - b;
+   a = a - b;
+   
+printf("\nA: %d",a);
+printf("\nB: %d\n",b);
+
+return 0;
+}
+```
+![swapW3.c](https://i.imgur.com/O2vlkcf.png)
+---
+
+### 6) Program to check even odd number.
+```C
+/* To find whether number is even or odd */
+
+#include<stdio.h>
+int main() { 
+
+  int num,temp;
+
+  printf("Enter the Number:");
+  scanf("%d",&num);
+
+  if(num%2==0)
+  printf("\nNumber is Even....");
+
+  else
+  printf("\nNumber is Odd....");
+
+  printf("\n\n");
+  return 0;
+}
+```
+![oddEven.c](https://i.imgur.com/f88BlWv.png)
+---
+### 7) Finding greteast of two numbers.
+```C
+     /* Largest one in two */
+
+#include<stdio.h>
+
+int main() {
+    int a,b;
+    printf("Enter any two number(A and B): ");
+    scanf("%d%d", &a, &b);
+    
+if(a>b)
+        printf("\nA is largest....\n");
+else
+        printf("\nB is largest.....\n");
+    
+return 0;
+}
+```
+![greatest.c](https://i.imgur.com/vvorXlM.png)
+---
+### 8) Find greatest of three number .
+```C
+/* Largest of three number */
+
+#include<stdio.h>
+int main() {
+int x, y, z, large;
+        
+ printf(" Enter any three integer numbers for x, y, z :  ") ;
+
+scanf("%d %d %d", &x, &y, &z) ;
+
+large = (x > y ? ( x > z ? x : z) : (y > z ? y : z)) ;
+
+printf("\n\n Largest among 3 numbers :  %d\n", large) ;
+       
+ return 0;
+}
+```
+![graetest3.c](https://i.imgur.com/ZKjVjKB.png)
+---
+### 9) Program to assign grade to student according to percentage.
+```C
+/* To find grade of a student by marks */
+
+#include<stdio.h>
+int main() { 
+    
+  int s1,s2,s3,s4,s5,agg;
+  float perc;
+
+  printf("Enter the Marks in 5 Subjects Respectively:\n");
+
+scanf("%d%d%d%d%d",&s1,&s2,&s3,&s4,&s5);
+
+agg=s1+s2+s3+s4+s5; // Aggregate Marks
+  
+  perc=agg/500.0*100;  // Perc Marks
+
+  if(perc>=90)
+  {
+      printf("\nA\n");
+      
+  }
+  
+  else if (perc>=80 && perc<90)
+  { 
+      printf("\nB\n");
+      
+  }
+  
+  else if(perc>=70 && perc<80)
+  {
+      printf("\nC\n");
+      
+  }
+  
+  else if(perc>=60 && perc<70)
+  { 
+      printf("\nD\n");
+  }
+  else if(perc>=50 && perc<60)
+  {
+      printf("\nE\n");
+  }
+  else 
+     {
+          printf("\nScope of Improvement....\n");
+    } 
+    return 0;
+}
+```
+![grade.c](https://i.imgur.com/UEzf2Fa.png)
+---
+### 10) Program to print roots of quadratic equation.
+```C
+/*Program to print roots */
+#include <stdio.h>
+#include <math.h>
+int main()
+{
+    double a, b, c, discriminant, root1, root2, realPart, imaginaryPart;
+    printf("Enter coefficients a, b and c: ");
+    scanf("%lf %lf %lf",&a, &b, &c);
+    discriminant = b*b-4*a*c;
+    if (discriminant > 0)
+    {
+        root1 = (-b+sqrt(discriminant))/(2*a);
+        root2 = (-b-sqrt(discriminant))/(2*a);
+        printf("root1 = %.2lf and root2 = %.2lf",root1 , root2);
+    }
+    else if (discriminant == 0)
+    {
+        root1 = root2 = -b/(2*a);
+        printf("root1 = root2 = %.2lf;", root1);
+    }
+    else
+    {
+        realPart = -b/(2*a);
+        imaginaryPart = sqrt(-discriminant)/(2*a);
+        printf("root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi", realPart, imaginaryPart, realPart, imaginaryPart);
+    }
+    return 0;
+}
+
+```
+![rootQuad.c]()
+---
+### 11) Program to check year is leap or not.
+```C
+/* To find whether year is leap or not */
+
+#include<stdio.h>
+int main() { 
+
+  int year,temp;
+
+  printf("Enter the year:");
+  scanf("%d",&year);
+
+  temp=year%4;
+
+  if(year%100==0)
+  {
+     if(year%400==0)
+     printf("\nLeap year...\n");
+  }
+
+  else
+  {
+    if(year%4==0)
+    printf("\nLeap year...\n");
+
+else
+    printf("\nNot a Leap year...\n");
+   }
+  
+  return 0;
+}
+```
+![leapyr.c](https://i.imgur.com/cwsLcyc.png)
+---
+### 12) Program to print table of 5.
+```C
+/* Table of 5 */
+
+#include<stdio.h>
+
+int main() { int res;
+
+for(int i=1;i<=10;i++) {
+
+res=5*i;
+    
+   printf("\n5*%d=%d",i,res);
+   }
+
+   return 0;
+}
+```
+![table5](https://i.imgur.com/rGWm4un.png)
+---
+### 13) To make simple calculator using switch case.
+```C
+/* C Program to Create Simple Calculator using Switch Case */
+ 
+#include <stdio.h>
+ 
+int main() {
+	char Operator;
+	float num1, num2, result = 0;
+	
+printf("\n Please Enter an Operator (+, -, *, /)  :  ");
+scanf("%c", &Operator);
+  	
+printf("\n Please Enter the Values for two Operands: num1 and num2  :  ");
+scanf("%f%f", &num1, &num2);
+  	
+switch(Operator)
+  	{
+  		case '+':
+  			result = num1 + num2;
+  			break;
+  		case '-':
+  			result = num1 - num2;
+  			break;
+  		case '*':
+  			result = num1 * num2;
+  			break;
+  		case '/':
+  			result = num1 / num2;
+  			break;
+		default:
+			printf("\n You have enetered an Invalid Operator ");				    			
+	}
+  
+printf("\n The result of %.2f %c %.2f  = %.2f", num1, Operator, num2, result);
+	
+return 0;
+}
+```
+![simpleCalc.c](https://i.imgur.com/vQQNoJC.png)
+---
+### 14) To calculate reverse of a number.
+```C
+/* To find reverse of a Number*/
+
+#include<stdio.h>
+int main() { 
+
+  int num,rev=0;
+
+  printf("\nEnter the Number:");
+  scanf("%ld",&num);
+
+while(num!=0)
+{ 
+    rev = rev * 10;
+    rev = rev + num%10;
+    num = num/10;
+  }
+  
+
+  printf("\nReversed number:%d",rev);
+
+  printf("\n\n");
+  return 0;
+}
+```
+![reverse.c](https://i.imgur.com/qkbURW3.png)
+---
+### 15) To check whether number is palindrome or not.
+```C
+/* Palindrome */
+
+#include<stdio.h>
+int main() { 
+
+  int n,rev=0,check,rem;
+
+  printf("\nEnter the number:");
+  scanf("%d",&n);
+  check=n;
+  
+  while( n!=0 )
+    {
+        rem = n%10;
+        rev = rev*10 + rem;
+        n /= 10;
+    }
+  
+  if(rev==check)
+  printf("\nReversed number is equal to entered number....");
+  
+  else 
+  printf("\nReversed number is not equal  to entered number....");
+  
+  printf("\n\n");
+  return 0;
+}
+```
+![palindrome.c](https://i.imgur.com/HYE2SxG.png)
+---
+### 16) To check whether a number is prime or not.
+```C
+/* Program to check prime no. */
+
+#include <stdio.h>
+#include <stdlib.h>
+ 
+int main() {
+    
+   int num, j, flag;
+  
+  printf("Enter a number \n");
+   scanf("%d", &num);
+ 
+  if (num <= 1)
+    {
+        printf("%d is not a prime numbers \n", num);
+        exit(1);
+    }
+    flag = 0;
+    for (j = 2; j <= num / 2; j++)
+    {
+        if ((num % j) == 0)
+        {
+            flag = 1;
+            break;
+        }
+    }
+    if (flag == 0)
+        printf("%d is a prime number \n", num);
+     else
+        printf("%d is not a prime number \n", num);
+
+return 0;
+    
+}
+```
+![prime.c](https://i.imgur.com/cobB3E9.png)
+---
+### 17) Program to print prime number to 100.
+```C
+/* Prime number from 1 to 100 */
+ 
+ #include<stdio.h>
+
+   int main(){
+
+int numbr,k,remark;
+
+printf(" The prime numbers between 1 and 100 : \n");
+
+   for(numbr=2;numbr<=100;++numbr)
+
+  {
+
+   remark=0;
+
+  for(k=2;k<=numbr/2;k++){
+
+  if((numbr % k) == 0){
+
+ remark++;
+
+  break;
+     }
+
+   }
+
+   if(remark==0)
+    printf("\n    %d ",numbr);
+
+ }
+
+  return 0;
+
+   } 
+ ```
+![prime100.c](https://i.imgur.com/9f4kqUx.png)
+---
+### 18) Program to check whether a number is armstrong or not.
+```C
+/* To check armstrong number */
+
+#include <stdio.h>
+int main()
+{
+    int number, originalNumber, remainder, result = 0;
+
+printf("Enter a three digit integer: ");
+    scanf("%d", &number);
+
+originalNumber = number;
+
+while (originalNumber != 0)
+    {
+        remainder = originalNumber%10;
+        result += remainder*remainder*remainder;
+        originalNumber /= 10;
+
+}
+
+if(result == number)
+        printf("%d is an Armstrong number.\n",number);
+    else
+        printf("%d is not an Armstrong number.\n",number);
+
+return 0;
+}
+```
+![armstrong.c](https://i.imgur.com/A5OhO51.png)
+---
+### 19) Print Different Patterns.
+#### i) Pattern 1
+```C
+#include <stdio.h>
+int main() {
+    
+   int i,j,r;
+    
+   printf("Enter number of rows: ");
+    scanf("%d",&r);
+    
+for(i=1; i<=r; ++i)
+    {
+        for(j=1; j<=i; ++j)
+        {
+            printf("%d ",j);
+        }
+        printf("\n");
+    }
+    return 0;
+}
+
+```
+![pattern1.c](https://i.imgur.com/3jkMiWr.png)
+#### ii) Pattern 2 
+```C
+#include <stdio.h>
+int main() {
+    
+   int r,i,j,num= 1;
+   printf("Enter number of rows: ");
+    scanf("%d",&r);
+    for(i=1;i<=r;i++)
+    {
+        for(j=1;j<=i;++j)
+        {
+            printf("%d",num);
+            ++num;
+        }
+        printf("\n");
+    }
+    return 0;
+}
+```
+![pattern2.c](https://i.imgur.com/rX4HDsU.png)
+---
+### 20) Program to find largest from 1 dimensional array.
+```C 
+/* Largest in 1 dimensional array */
+
+#include <stdio.h>
+int main() {
+    
+   int i, n;
+   float arr[100];
+    
+   printf("Enter total number of elements(1 to 100): ");
+    scanf("%d", &n);
+    printf("\n");
+    
+    
+// Stores number entered by the user
+    for(i = 0; i < n; ++i)
+    {
+       printf("Enter Number %d: ", i+1);
+       scanf("%f", &arr[i]);
+    }
+    // Loop to store largest number to arr[0]
+    for(i = 1; i < n; ++i)
+    {
+       // Change < to > if you want to find the smallest element
+       if(arr[0] < arr[i])
+           arr[0] = arr[i];
+    }
+    printf("Largest element = %.2f", arr[0]);
+    return 0;
+}
+```
+![largest1dArray.c](https://i.imgur.com/BJ74j5m.png)
+---
+### 21) To find sum of the N natural numbers in an array.
+```C
+/* Sum of N no.s in array */
+     
+#include<stdio.h>
+
+int main() {
+
+    int n, sum = 0, c, array[100];
+
+printf("Enter the number of integers you want to add: ");
+    scanf("%d", &n);
+
+ printf("\n\nEnter %d integers \n\n", n);
+
+for(c = 0; c < n; c++)
+   {
+        scanf("%d", &array[c]);
+        sum += array[c];    
+    }
+
+  printf("\n\nSum = %d\n\n", sum);
+    return 0;
+}
+```
+![naturalArray.c](https://i.imgur.com/jYrFx2A.png)
+---
+### 22) Program to add two matrices .
+```C
+/*  Addition of matrix */
+    
+#include <stdio.h>
+ 
+int main() {
+   
+   int m, n, c, d, first[10][10], second[10][10], sum[10][10];
+ 
+   printf("Enter the number of rows and columns of matrix\n");
+   scanf("%d%d", &m, &n);
+   
+   printf("Enter the elements of first matrix\n");
+ 
+   for (c = 0; c < m; c++)
+      for (d = 0; d < n; d++)
+         scanf("%d", &first[c][d]);
+ 
+   printf("Enter the elements of second matrix\n");
+ 
+   for (c = 0; c < m; c++)
+      for (d = 0 ; d < n; d++)
+         scanf("%d", &second[c][d]);
+   
+   printf("Sum of entered matrices:-\n");
+   
+   for (c = 0; c < m; c++) {
+      for (d = 0 ; d < n; d++) {
+         sum[c][d] = first[c][d] + second[c][d];
+         printf("%d\t", sum[c][d]);
+      }
+      printf("\n");
+   }
+ 
+   return 0;
+}
+```
+![matadd2.c](https://i.imgur.com/Mrl3qii.png)
+---
+### 23) Program to multiply two matrices .
+```C
+/* Multiplation of matrices */
+
+#include <stdio.h>
+int main()
+     {
+      int m, n, p, q, c, d, k, sum = 0;
+      int first[10][10], second[10][10],   multiply[10][10];
+ 
+  printf("Enter number of rows and columns of first matrix\n");
+  scanf("%d%d", &m, &n);
+  
+  printf("Enter elements of first matrix\n");
+ 
+  for (c = 0; c < m; c++)
+    for (d = 0; d < n; d++)
+      scanf("%d", &first[c][d]);
+ 
+  printf("Enter number of rows and columns of second matrix\n");
+  scanf("%d%d", &p, &q);
+ 
+  if (n != p)
+    printf("The matrices can't be multiplied with each other.\n");
+  
+  else
+  {
+    printf("Enter elements of second matrix\n");
+ 
+for (c=0;c<p;c++)
+      for (d = 0; d < q; d++)
+        scanf("%d", &second[c][d]);
+ 
+  for (c = 0; c < m; c++) {
+      for (d = 0; d < q; d++) {
+        for (k = 0; k < p; k++) {
+          sum = sum + first[c][k]*second[k][d];
+        }
+ 
+   multiply[c][d] = sum;
+        sum = 0;
+      }
+    }
+ 
+   printf("Product of the matrices:\n");
+ 
+   for (c = 0; c < m; c++) {
+      for (d = 0; d < q; d++)
+        printf("%d\t", multiply[c][d]);
+ 
+   printf("\n");
+    }
+  }
+ 
+  return 0;
+}
+```
+![matmul.c](https://i.imgur.com/qU4h52J.png)
+---
+### 24) Program to check whether a string is palindrome or not .
+```C
+#include <stdio.h>
+#include <string.h>
+
+int main(){
+    char string1[20];
+    int i, length;
+    int flag = 0;
+    
+    printf("Enter a string:");
+    scanf("%s", string1);
+    
+    length = strlen(string1);
+    
+    for(i=0;i < length ;i++){
+        if(string1[i] != string1[length-i-1]){
+            flag = 1;
+            break;
+   }
+}
+    
+    if (flag) {
+        printf("%s is not a palindrome\n", string1);
+    }    
+    else {
+        printf("%s is a palindrome\n", string1);
+    }
+    return 0;
+}
+```
+![palindromeString.c](https://i.imgur.com/xuikjqt.png)
+---
+### 25) Program to perform basic operations like lenghth of string, string concat, string copy, string compare and string reverse.
+```C
+/*Fundamental string operation, lenth, concatenation, compare and copy strings without string.h */
+
+#include <stdio.h> 
+#include <stdlib.h>
+  
+int find_length(char string[]) {
+    int len = 0, i;
+    for (i = 0; string[i] != '\0'; i++) {
+      len++;
+    }
+    return len;
+  }
+
+void join_strings(char string1[], char string2[]) {
+  int i, len1, len2;
+  len1 = find_length(string1);
+  len2 = find_length(string2);
+  for (i = len1; i < len1 + len2; i++) {
+    string1[i] = string2[i - len1];
+  }
+  string1[i] = '\0'; //adding null character at the end of input
+}
+/*returns 0 if thery are same otherwise returns 1*/
+
+int compare_strings(char string1[], char string2[]) {
+  int len1, len2, i, count = 0;
+  len1 = find_length(string1);
+  len2 = find_length(string2);
+   if (len1 != len2)
+    return 1;
+  for (i = 0; i < len1; i++) {
+    if (string1[i] == string2[i])
+      count++;
+  }
+  if (count == len1)
+    return 0;
+  return 1;
+}
+
+void copy_string(char destination[], char source[]) {
+  int len, i;
+  len = find_length(source);
+  for (i = 0; i < len; i++) {
+    destination[i] = source[i];
+  }
+  destination[i] = '\0';
+}
+
+int main() {
+  char string1[20], string2[20]; //string variables declaration with size 20
+  int choice;
+  while (1) {
+    printf("\n1. Find Length \n2. Concatenate \n3. Compare \n4. Copy \n5. Exit\n");
+    printf("Enter your choice: ");
+    scanf("%d", & choice);
+    switch (choice) {
+    case 1:
+      printf("Enter the string: ");
+      scanf("%s", string1);
+      printf("The length of string is %d", find_length(string1));
+      break;
+    case 2:
+      printf("Enter two strings: ");
+      scanf("%s%s", string1, string2);
+      join_strings(string1, string2);
+      printf("The concatenated string is %s", string1);
+      break;
+    case 3:
+      printf("Enter two strings: ");
+      scanf("%s%s", string1, string2);
+      if (compare_strings(string1, string2) == 0) {
+        printf("They are equal");
+      } else {
+        printf("They are not equal");
+      }
+      break;
+    case 4:
+      printf("Enter a string: ");
+      scanf("%s", string1);
+      printf("String1 = %s\n");
+      printf("After copying string1 to string 2\n");
+      copy_string(string2, string1);
+      printf("String2 = %s", string2);
+      break;
+    case 5:
+      exit(0);
+    }
+  }
+  return 0;
+}
+```
+![1 string.c](https://i.imgur.com/vtWyi6f.png)
+---
+### 26) Programs to swap two numbers using call by value and call by refernce.
+#### Call by reference
+```C
+/* Call by reference */
+
+#include <stdio.h>
+void swap(int*, int*);
+ 
+int main() {
+   
+   int x, y;
+ 
+   printf("Enter the value of x and y\n");
+   scanf("%d%d",&x,&y);
+ 
+   printf("Before Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   swap(&x, &y); 
+ 
+   printf("After Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   return 0;
+}
+ 
+void swap(int *a, int *b)
+{
+   int temp;
+ 
+   temp = *b;
+   *b = *a;
+   *a = temp;
+}
+```
+![swapRef.c](https://i.imgur.com/Pp5yzpR.png)
+#### call by value 
+```C
+/* Call by value */
+
+#include <stdio.h>
+ 
+void swap(int, int);
+ 
+int main() {
+   
+   int x, y;
+ 
+   printf("Enter the value of x and y\n");
+   scanf("%d%d",&x,&y);
+ 
+   printf("Before Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   swap(x, y); 
+ 
+   printf("After Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   return 0;
+}
+ 
+void swap(int a, int b) {
+   int temp;
+ 
+   temp = b;
+   b = a;
+   a = temp;
+    printf("Values of a and b is %d  %d\n",a,b);
+}
+```
+![swapVal.c](https://i.imgur.com/jwehWia.png)
+---
+### 27) Program to calculate factorial of a number with and without recursion both.
+```C
+/* With Recursion */
+
+#include<stdio.h>
+long int multiplyNumbers(int n);
+int main() {
+    
+int n;
+    printf("Enter a positive integer: ");
+    scanf("%d", &n);
+    printf("Factorial of %d = %ld\n", n, multiplyNumbers(n));
+    return 0;
+}
+long int multiplyNumbers(int n)
+{
+    if (n >= 1)
+        return n*multiplyNumbers(n-1);
+    else
+        return 1;
+}
+```
+![factRec.c](https://i.imgur.com/imf2Dhm.png)
+
+```C
+/* Without Recursion: */
+
+#include <stdio.h>
+
+int main() {
+  
+  int c, n, fact = 1;
+ 
+  printf("Enter a number to calculate its factorial\n");
+  scanf("%d", &n);
+ 
+  for (c = 1; c <= n; c++)
+    fact = fact * c;
+ 
+  printf("Factorial of %d = %d\n", n, fact);
+ 
+  return 0;
+}
+```
+![factWRec.c](https://i.imgur.com/eIZz1zG.png)
+---
+### 28) Program to print fibonacci series with and without recursion both.
+```C
+/* with recursion */
+
+#include<stdio.h>
+void series(int);		
+
+int main() {
+
+  int n;
+
+printf("\n\nEnter the number of terms you wish");
+  scanf("%d",&n);
+  printf("\n\n");
+
+  series(n);			
+  printf("\n\n\n");
+
+  return 0;
+}
+
+void series(int n)		
+
+{
+   int t1=0,t2=1,next;
+
+   for(int i=0;i<=n;i++)
+  {
+    printf("%d\t",t1);
+
+    next=t1+t2;
+    t1=t2;
+    t2=next;
+  }
+}
+```
+![fibrec.c](https://i.imgur.com/uCieoXY.png)
+
+```C
+/*  without  recursion */
+#include<stdio.h>    
+int main()    
+{    
+ int n1=0,n2=1,n3,i,number;    
+ printf("Enter the number of elements:");    
+ scanf("%d",&number);    
+ printf("\n%d %d\n",n1,n2); 
+ for(i=2;i<number;++i) 
+ {    
+  n3=n1+n2;    
+  printf(" %d\n",n3);    
+  n1=n2;    
+  n2=n3;    
+ }  
+  return 0;  
+ } 
+```
+![fibWrec.c](https://i.imgur.com/mz7AucT.png)
+---
+### 29) Program to calculate average of 5 numbers using function.
+```C
+ /* program to find average of 5 numbers  */
+ 
+#include<stdio.h>
+int avg(int,int,int,int,int);      
+ 
+int main() { int a1,a2,a3,a4,a5,res;
+   
+   printf("\nEnter the numbers respectiively: ");
+   scanf("%d%d%d%d%d",&a1,&a2,&a3,&a4,&a5);
+   
+   res=avg(a1,a2,a3,a4,a5);     
+   printf("Average of the numbers is %d\n",res);
+   
+   return 0; 
+ }
+ 
+ int avg(int a1,int a2,int a3,int a4,int a5)      
+ 
+ { int p; 
+   p=(a1+a2+a3+a4+a5)/5;
+   return p;
+ }
+ ```
+![averageFun.c](https://i.imgur.com/40hKV9N.png)
+---
+### 30) Program to implement linear serach and binary.
+```C
+/* Linear Search */
+#include <stdio.h>
+  
+int main()
+{
+  int array[100], search, c, n;
+ 
+  printf("Enter number of elements in array\n");
+  scanf("%d", &n);
+ 
+  printf("Enter %d integer(s)\n", n);
+   
+  for (c = 0; c < n; c++)
+    scanf("%d", &array[c]);
+    
+  printf("Enter a number to search\n");
+  scanf("%d", &search);
+ 
+  for (c = 0; c < n; c++)
+  {
+    if (array[c] == search)                                      
+    {
+      printf("%d is present at location %d.\n", search, c+1);
+      break;
+    }
+  }
+  if (c == n)
+    printf("%d isn't present in the array.\n", search);
+  
+  return 0;
+}
+```
+![linear.c](https://i.imgur.com/zeHWTQU.png)
+```C
+/* Binary Search */
+
+#include <stdio.h>
+ 
+int main()
+{
+   int c, first, last, middle, n, search, array[100];
+ 
+   printf("Enter number of elements\n");
+   scanf("%d",&n);
+ 
+   printf("Enter %d integers\n", n);
+ 
+   for (c = 0; c < n; c++)
+      scanf("%d",&array[c]);
+ 
+   printf("Enter value to find\n");
+   scanf("%d", &search);
+ 
+   first = 0;
+   last = n - 1;
+   middle = (first+last)/2;
+ 
+   while (first <= last) {
+      if (array[middle] < search)
+         first = middle + 1;    
+      else if (array[middle] == search) {
+         printf("%d found at location %d.\n", search, middle+1);
+         break;
+      }
+      else
+         last = middle - 1;
+ 
+      middle = (first + last)/2;
+   }
+   if (first > last)
+      printf("Not found! %d isn't present in the list.\n", search);
+ 
+   return 0;  
+}
+```
+![binary.c](https://i.imgur.com/IBuIKew.png)
+---
+### 31) Program to implement bubble sort.
+```C 
+#include <stdio.h>
+ 
+int main()
+{
+  int array[100], n, c, d, swap;
+ 
+  printf("Enter number of elements\n");
+  scanf("%d", &n);
+ 
+  printf("Enter %d integers\n", n);
+ 
+  for (c = 0; c < n; c++)
+    scanf("%d", &array[c]);
+ 
+  for (c = 0 ; c < n - 1; c++)
+  {
+    for (d = 0 ; d < n - c - 1; d++)
+    {
+      if (array[d] > array[d+1]) 
+      {
+        swap       = array[d];
+        array[d]   = array[d+1];
+        array[d+1] = swap;
+      }
+    }
+  }
+ 
+  printf("Sorted list in ascending order:\n");
+ 
+  for (c = 0; c < n; c++)
+     printf("%d\n", array[c]);
+ 
+  return 0;
+}
+```
+![bubble.c](https://i.imgur.com/J4w9qBc.png)
+---
+### 32) Program to store information of 10 students using array of structures.
+```C
+/* Structures for student */
+
+#include <stdio.h>
+struct student
+{
+    char name[50];
+    int roll;
+    float marks;
+} s[10];
+int main()
+{
+    int i;
+    printf("Enter information of students:\n");
+    for(i=0; i<3; ++i)
+    {
+        s[i].roll = i+1;
+        printf("\nFor roll number%d,\n",s[i].roll);
+        printf("Enter name: ");
+        scanf("%s",s[i].name);
+        printf("Enter marks: ");
+        scanf("%f",&s[i].marks);
+        printf("\n");
+    }
+    printf("Displaying Information:\n\n");
+    for(i=0; i<3; ++i)
+    {
+        printf("\nRoll number: %d\n",i+1);
+        printf("Name: ");
+        puts(s[i].name);
+        printf("Marks: %.1f",s[i].marks);
+        printf("\n");
+    }
+    return 0;
+}
+```
+![student10Struct.c](https://i.imgur.com/3jZwubx.png)
+---
+### 33) Programs to compute the transpose of a matrix.
+```C
+#include <stdio.h>
+int main()
+{
+    int a[10][10], transpose[10][10], r, c, i, j;
+    printf("Enter rows and columns of matrix: ");
+    scanf("%d %d", &r, &c);
+    
+    printf("\nEnter elements of matrix:\n");
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            printf("Enter element a%d%d: ",i+1, j+1);
+            scanf("%d", &a[i][j]);
+        }
+        
+
+    printf("\nEntered Matrix: \n");
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            printf("%d  ", a[i][j]);
+            if (j == c-1)
+                printf("\n\n");
+        }
+    
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            transpose[j][i] = a[i][j];
+        }
+    
+    printf("\nTranspose of Matrix:\n");
+    for(i=0; i<c; ++i)
+        for(j=0; j<r; ++j)
+        {
+            printf("%d  ",transpose[i][j]);
+            if(j==r-1)
+                printf("\n\n");
+        }
+    return 0;
+}
+```
+![transpose.c](https://i.imgur.com/0I2yPhu.png)
+---
+### 34) Program to print the address of variable using pointer.
+```C
+#include <stdio.h>
+int main() {
+  int a;
+  int *pt;
+
+  a = 10;
+  pt = &a;
+
+  printf("\n[&a ]:Address of A = %p", &a);
+
+
+  return 0;
+}
+
+```
+![pointerAddVar.c](https://i.imgur.com/bZhs0eR.png)
+---
+### 35) Program to access array using pointer.
+```C
+#include <stdio.h>
+int main()
+{
+   int data[5], i;
+   printf("Enter elements: ");
+   for(i = 0; i < 5; ++i)
+     scanf("%d", data + i);
+   printf("You entered: \n");
+   for(i = 0; i < 5; ++i)
+      printf("%d\n", *(data + i));
+   return 0;
+}
+```
+![pointerArray.c](https://i.imgur.com/cxcL4Uc.png)
diff --git a/README.md b/README.md
index ca04a7d..dd04ce6 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,1320 @@
-# PPS
-Programming for Problem Solving
+![logo.png](https://i.imgur.com/9QO1ZX9.png)
+---
+## **<p align="center"> ESC-18104/18105 Programming for Problem Solving </p>**
+#### **<p align="center">Name - _Sourabh chouhan_ </p>**
+#### **<p align="center">CRN - _1915352_</p>**
+#### **<p align="center">Branch - _CSE C2_</p>**
+#### **<p align="center">Submitted to - _Ms. Goldendeep Kaur_</p>**
+---
+
+### 1) To print my name
+```C
+      /* Program to print your name */
+
+#include<stdio.h>
+int main() {
+
+puts("**************");
+puts("sourabh chouhan");
+puts("$$$$$$$$$$$$$$$");
+
+return 0;
+}
+```
+![myName.png](https://i.imgur.com/NSiEX8G.png)
+---
+
+### 2) To print College address.
+```C
+        /* College Address */
+ 
+#include<stdio.h>
+int main() {
+
+printf("\n\t\t\tGuru Nanak Dev Engineering College,");
+printf("\n\t\t\tGill Road,");
+printf("\n\t\t\tLudhiana , Punjab\n\n");
+
+return 0;
+}
+```
+![collegeAdd.png](https://i.imgur.com/ax6bZ3H.png)
+---
+
+### 3) Program to add two integers.
+```C
+     /* To add two integers */
+
+#include <stdio.h>
+int main() {
+    
+int a,b;
+
+printf("\nEnter the numbers....");
+
+printf("\nA:");
+scanf("%d",&a);
+
+printf("\nB:");
+scanf("%d",&b);
+
+a=a+b;
+
+printf("\n Sum of the number is %d \n",a);
+
+return 0;
+
+}
+```
+![add.png](https://i.imgur.com/BaHUHFI.png)
+---
+
+### 4) Program to find quotient and remainder.
+```C
+    /* To find quotient and remainder */
+
+#include <stdio.h>
+
+int main() {
+    
+int a,b,r,q;
+
+printf("\nEnter the Dividend:");
+scanf("%d",&a);
+
+printf("\nEnter the divisor:");
+scanf("%d",&b);
+
+r=a%b;
+q=a/b;
+
+printf("\nRemainder: %d",r);
+printf("\nQuotient: %d\n",q);
+
+return 0;
+}
+```
+![quotientRemainder.png](https://i.imgur.com/uFqYSxi.png)
+---
+
+### 5) Program to swap two variables without 3rd variable.
+```C
+    /* Swapping without 3rd variable  */
+
+#include <stdio.h>
+int main() {
+    
+int a,b;
+
+printf("\nEnter the value of A:");
+scanf("%d",&a);
+
+printf("\nEnter the value of B:");
+scanf("%d",&b);
+
+   a = a + b;
+   b = a - b;
+   a = a - b;
+   
+printf("\nA: %d",a);
+printf("\nB: %d\n",b);
+
+return 0;
+}
+```
+![swapW3.c](https://i.imgur.com/O2vlkcf.png)
+---
+
+### 6) Program to check even odd number.
+```C
+/* To find whether number is even or odd */
+
+#include<stdio.h>
+int main() { 
+
+  int num,temp;
+
+  printf("Enter the Number:");
+  scanf("%d",&num);
+
+  if(num%2==0)
+  printf("\nNumber is Even....");
+
+  else
+  printf("\nNumber is Odd....");
+
+  printf("\n\n");
+  return 0;
+}
+```
+![oddEven.c](https://i.imgur.com/f88BlWv.png)
+---
+### 7) Finding greteast of two numbers.
+```C
+     /* Largest one in two */
+
+#include<stdio.h>
+
+int main() {
+    int a,b;
+    printf("Enter any two number(A and B): ");
+    scanf("%d%d", &a, &b);
+    
+if(a>b)
+        printf("\nA is largest....\n");
+else
+        printf("\nB is largest.....\n");
+    
+return 0;
+}
+```
+![greatest.c](https://i.imgur.com/vvorXlM.png)
+---
+### 8) Find greatest of three number .
+```C
+/* Largest of three number */
+
+#include<stdio.h>
+int main() {
+int x, y, z, large;
+        
+ printf(" Enter any three integer numbers for x, y, z :  ") ;
+
+scanf("%d %d %d", &x, &y, &z) ;
+
+large = (x > y ? ( x > z ? x : z) : (y > z ? y : z)) ;
+
+printf("\n\n Largest among 3 numbers :  %d\n", large) ;
+       
+ return 0;
+}
+```
+![graetest3.c](https://i.imgur.com/ZKjVjKB.png)
+---
+### 9) Program to assign grade to student according to percentage.
+```C
+/* To find grade of a student by marks */
+
+#include<stdio.h>
+int main() { 
+    
+  int s1,s2,s3,s4,s5,agg;
+  float perc;
+
+  printf("Enter the Marks in 5 Subjects Respectively:\n");
+
+scanf("%d%d%d%d%d",&s1,&s2,&s3,&s4,&s5);
+
+agg=s1+s2+s3+s4+s5; // Aggregate Marks
+  
+  perc=agg/500.0*100;  // Perc Marks
+
+  if(perc>=90)
+  {
+      printf("\nA\n");
+      
+  }
+  
+  else if (perc>=80 && perc<90)
+  { 
+      printf("\nB\n");
+      
+  }
+  
+  else if(perc>=70 && perc<80)
+  {
+      printf("\nC\n");
+      
+  }
+  
+  else if(perc>=60 && perc<70)
+  { 
+      printf("\nD\n");
+  }
+  else if(perc>=50 && perc<60)
+  {
+      printf("\nE\n");
+  }
+  else 
+     {
+          printf("\nScope of Improvement....\n");
+    } 
+    return 0;
+}
+```
+![grade.c](https://i.imgur.com/UEzf2Fa.png)
+---
+### 10) Program to print roots of quadratic equation.
+```C
+/*Program to print roots */
+#include <stdio.h>
+#include <math.h>
+int main()
+{
+    double a, b, c, discriminant, root1, root2, realPart, imaginaryPart;
+    printf("Enter coefficients a, b and c: ");
+    scanf("%lf %lf %lf",&a, &b, &c);
+    discriminant = b*b-4*a*c;
+    if (discriminant > 0)
+    {
+        root1 = (-b+sqrt(discriminant))/(2*a);
+        root2 = (-b-sqrt(discriminant))/(2*a);
+        printf("root1 = %.2lf and root2 = %.2lf",root1 , root2);
+    }
+    else if (discriminant == 0)
+    {
+        root1 = root2 = -b/(2*a);
+        printf("root1 = root2 = %.2lf;", root1);
+    }
+    else
+    {
+        realPart = -b/(2*a);
+        imaginaryPart = sqrt(-discriminant)/(2*a);
+        printf("root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi", realPart, imaginaryPart, realPart, imaginaryPart);
+    }
+    return 0;
+}
+
+```
+![rootQuad.c]()
+---
+### 11) Program to check year is leap or not.
+```C
+/* To find whether year is leap or not */
+
+#include<stdio.h>
+int main() { 
+
+  int year,temp;
+
+  printf("Enter the year:");
+  scanf("%d",&year);
+
+  temp=year%4;
+
+  if(year%100==0)
+  {
+     if(year%400==0)
+     printf("\nLeap year...\n");
+  }
+
+  else
+  {
+    if(year%4==0)
+    printf("\nLeap year...\n");
+
+else
+    printf("\nNot a Leap year...\n");
+   }
+  
+  return 0;
+}
+```
+![leapyr.c](https://i.imgur.com/cwsLcyc.png)
+---
+### 12) Program to print table of 5.
+```C
+/* Table of 5 */
+
+#include<stdio.h>
+
+int main() { int res;
+
+for(int i=1;i<=10;i++) {
+
+res=5*i;
+    
+   printf("\n5*%d=%d",i,res);
+   }
+
+   return 0;
+}
+```
+![table5](https://i.imgur.com/rGWm4un.png)
+---
+### 13) To make simple calculator using switch case.
+```C
+/* C Program to Create Simple Calculator using Switch Case */
+ 
+#include <stdio.h>
+ 
+int main() {
+	char Operator;
+	float num1, num2, result = 0;
+	
+printf("\n Please Enter an Operator (+, -, *, /)  :  ");
+scanf("%c", &Operator);
+  	
+printf("\n Please Enter the Values for two Operands: num1 and num2  :  ");
+scanf("%f%f", &num1, &num2);
+  	
+switch(Operator)
+  	{
+  		case '+':
+  			result = num1 + num2;
+  			break;
+  		case '-':
+  			result = num1 - num2;
+  			break;
+  		case '*':
+  			result = num1 * num2;
+  			break;
+  		case '/':
+  			result = num1 / num2;
+  			break;
+		default:
+			printf("\n You have enetered an Invalid Operator ");				    			
+	}
+  
+printf("\n The result of %.2f %c %.2f  = %.2f", num1, Operator, num2, result);
+	
+return 0;
+}
+```
+![simpleCalc.c](https://i.imgur.com/vQQNoJC.png)
+---
+### 14) To calculate reverse of a number.
+```C
+/* To find reverse of a Number*/
+
+#include<stdio.h>
+int main() { 
+
+  int num,rev=0;
+
+  printf("\nEnter the Number:");
+  scanf("%ld",&num);
+
+while(num!=0)
+{ 
+    rev = rev * 10;
+    rev = rev + num%10;
+    num = num/10;
+  }
+  
+
+  printf("\nReversed number:%d",rev);
+
+  printf("\n\n");
+  return 0;
+}
+```
+![reverse.c](https://i.imgur.com/qkbURW3.png)
+---
+### 15) To check whether number is palindrome or not.
+```C
+/* Palindrome */
+
+#include<stdio.h>
+int main() { 
+
+  int n,rev=0,check,rem;
+
+  printf("\nEnter the number:");
+  scanf("%d",&n);
+  check=n;
+  
+  while( n!=0 )
+    {
+        rem = n%10;
+        rev = rev*10 + rem;
+        n /= 10;
+    }
+  
+  if(rev==check)
+  printf("\nReversed number is equal to entered number....");
+  
+  else 
+  printf("\nReversed number is not equal  to entered number....");
+  
+  printf("\n\n");
+  return 0;
+}
+```
+![palindrome.c](https://i.imgur.com/HYE2SxG.png)
+---
+### 16) To check whether a number is prime or not.
+```C
+/* Program to check prime no. */
+
+#include <stdio.h>
+#include <stdlib.h>
+ 
+int main() {
+    
+   int num, j, flag;
+  
+  printf("Enter a number \n");
+   scanf("%d", &num);
+ 
+  if (num <= 1)
+    {
+        printf("%d is not a prime numbers \n", num);
+        exit(1);
+    }
+    flag = 0;
+    for (j = 2; j <= num / 2; j++)
+    {
+        if ((num % j) == 0)
+        {
+            flag = 1;
+            break;
+        }
+    }
+    if (flag == 0)
+        printf("%d is a prime number \n", num);
+     else
+        printf("%d is not a prime number \n", num);
+
+return 0;
+    
+}
+```
+![prime.c](https://i.imgur.com/cobB3E9.png)
+---
+### 17) Program to print prime number to 100.
+```C
+/* Prime number from 1 to 100 */
+ 
+ #include<stdio.h>
+
+   int main(){
+
+int numbr,k,remark;
+
+printf(" The prime numbers between 1 and 100 : \n");
+
+   for(numbr=2;numbr<=100;++numbr)
+
+  {
+
+   remark=0;
+
+  for(k=2;k<=numbr/2;k++){
+
+  if((numbr % k) == 0){
+
+ remark++;
+
+  break;
+     }
+
+   }
+
+   if(remark==0)
+    printf("\n    %d ",numbr);
+
+ }
+
+  return 0;
+
+   } 
+ ```
+![prime100.c](https://i.imgur.com/9f4kqUx.png)
+---
+### 18) Program to check whether a number is armstrong or not.
+```C
+/* To check armstrong number */
+
+#include <stdio.h>
+int main()
+{
+    int number, originalNumber, remainder, result = 0;
+
+printf("Enter a three digit integer: ");
+    scanf("%d", &number);
+
+originalNumber = number;
+
+while (originalNumber != 0)
+    {
+        remainder = originalNumber%10;
+        result += remainder*remainder*remainder;
+        originalNumber /= 10;
+
+}
+
+if(result == number)
+        printf("%d is an Armstrong number.\n",number);
+    else
+        printf("%d is not an Armstrong number.\n",number);
+
+return 0;
+}
+```
+![armstrong.c](https://i.imgur.com/A5OhO51.png)
+---
+### 19) Print Different Patterns.
+#### i) Pattern 1
+```C
+#include <stdio.h>
+int main() {
+    
+   int i,j,r;
+    
+   printf("Enter number of rows: ");
+    scanf("%d",&r);
+    
+for(i=1; i<=r; ++i)
+    {
+        for(j=1; j<=i; ++j)
+        {
+            printf("%d ",j);
+        }
+        printf("\n");
+    }
+    return 0;
+}
+
+```
+![pattern1.c](https://i.imgur.com/3jkMiWr.png)
+#### ii) Pattern 2 
+```C
+#include <stdio.h>
+int main() {
+    
+   int r,i,j,num= 1;
+   printf("Enter number of rows: ");
+    scanf("%d",&r);
+    for(i=1;i<=r;i++)
+    {
+        for(j=1;j<=i;++j)
+        {
+            printf("%d",num);
+            ++num;
+        }
+        printf("\n");
+    }
+    return 0;
+}
+```
+![pattern2.c](https://i.imgur.com/rX4HDsU.png)
+---
+### 20) Program to find largest from 1 dimensional array.
+```C 
+/* Largest in 1 dimensional array */
+
+#include <stdio.h>
+int main() {
+    
+   int i, n;
+   float arr[100];
+    
+   printf("Enter total number of elements(1 to 100): ");
+    scanf("%d", &n);
+    printf("\n");
+    
+    
+// Stores number entered by the user
+    for(i = 0; i < n; ++i)
+    {
+       printf("Enter Number %d: ", i+1);
+       scanf("%f", &arr[i]);
+    }
+    // Loop to store largest number to arr[0]
+    for(i = 1; i < n; ++i)
+    {
+       // Change < to > if you want to find the smallest element
+       if(arr[0] < arr[i])
+           arr[0] = arr[i];
+    }
+    printf("Largest element = %.2f", arr[0]);
+    return 0;
+}
+```
+![largest1dArray.c](https://i.imgur.com/BJ74j5m.png)
+---
+### 21) To find sum of the N natural numbers in an array.
+```C
+/* Sum of N no.s in array */
+     
+#include<stdio.h>
+
+int main() {
+
+    int n, sum = 0, c, array[100];
+
+printf("Enter the number of integers you want to add: ");
+    scanf("%d", &n);
+
+ printf("\n\nEnter %d integers \n\n", n);
+
+for(c = 0; c < n; c++)
+   {
+        scanf("%d", &array[c]);
+        sum += array[c];    
+    }
+
+  printf("\n\nSum = %d\n\n", sum);
+    return 0;
+}
+```
+![naturalArray.c](https://i.imgur.com/jYrFx2A.png)
+---
+### 22) Program to add two matrices .
+```C
+/*  Addition of matrix */
+    
+#include <stdio.h>
+ 
+int main() {
+   
+   int m, n, c, d, first[10][10], second[10][10], sum[10][10];
+ 
+   printf("Enter the number of rows and columns of matrix\n");
+   scanf("%d%d", &m, &n);
+   
+   printf("Enter the elements of first matrix\n");
+ 
+   for (c = 0; c < m; c++)
+      for (d = 0; d < n; d++)
+         scanf("%d", &first[c][d]);
+ 
+   printf("Enter the elements of second matrix\n");
+ 
+   for (c = 0; c < m; c++)
+      for (d = 0 ; d < n; d++)
+         scanf("%d", &second[c][d]);
+   
+   printf("Sum of entered matrices:-\n");
+   
+   for (c = 0; c < m; c++) {
+      for (d = 0 ; d < n; d++) {
+         sum[c][d] = first[c][d] + second[c][d];
+         printf("%d\t", sum[c][d]);
+      }
+      printf("\n");
+   }
+ 
+   return 0;
+}
+```
+![matadd2.c](https://i.imgur.com/Mrl3qii.png)
+---
+### 23) Program to multiply two matrices .
+```C
+/* Multiplation of matrices */
+
+#include <stdio.h>
+int main()
+     {
+      int m, n, p, q, c, d, k, sum = 0;
+      int first[10][10], second[10][10],   multiply[10][10];
+ 
+  printf("Enter number of rows and columns of first matrix\n");
+  scanf("%d%d", &m, &n);
+  
+  printf("Enter elements of first matrix\n");
+ 
+  for (c = 0; c < m; c++)
+    for (d = 0; d < n; d++)
+      scanf("%d", &first[c][d]);
+ 
+  printf("Enter number of rows and columns of second matrix\n");
+  scanf("%d%d", &p, &q);
+ 
+  if (n != p)
+    printf("The matrices can't be multiplied with each other.\n");
+  
+  else
+  {
+    printf("Enter elements of second matrix\n");
+ 
+for (c=0;c<p;c++)
+      for (d = 0; d < q; d++)
+        scanf("%d", &second[c][d]);
+ 
+  for (c = 0; c < m; c++) {
+      for (d = 0; d < q; d++) {
+        for (k = 0; k < p; k++) {
+          sum = sum + first[c][k]*second[k][d];
+        }
+ 
+   multiply[c][d] = sum;
+        sum = 0;
+      }
+    }
+ 
+   printf("Product of the matrices:\n");
+ 
+   for (c = 0; c < m; c++) {
+      for (d = 0; d < q; d++)
+        printf("%d\t", multiply[c][d]);
+ 
+   printf("\n");
+    }
+  }
+ 
+  return 0;
+}
+```
+![matmul.c](https://i.imgur.com/qU4h52J.png)
+---
+### 24) Program to check whether a string is palindrome or not .
+```C
+#include <stdio.h>
+#include <string.h>
+
+int main(){
+    char string1[20];
+    int i, length;
+    int flag = 0;
+    
+    printf("Enter a string:");
+    scanf("%s", string1);
+    
+    length = strlen(string1);
+    
+    for(i=0;i < length ;i++){
+        if(string1[i] != string1[length-i-1]){
+            flag = 1;
+            break;
+   }
+}
+    
+    if (flag) {
+        printf("%s is not a palindrome\n", string1);
+    }    
+    else {
+        printf("%s is a palindrome\n", string1);
+    }
+    return 0;
+}
+```
+![palindromeString.c](https://i.imgur.com/xuikjqt.png)
+---
+### 25) Program to perform basic operations like lenghth of string, string concat, string copy, string compare and string reverse.
+```C
+/*Fundamental string operation, lenth, concatenation, compare and copy strings without string.h */
+
+#include <stdio.h> 
+#include <stdlib.h>
+  
+int find_length(char string[]) {
+    int len = 0, i;
+    for (i = 0; string[i] != '\0'; i++) {
+      len++;
+    }
+    return len;
+  }
+
+void join_strings(char string1[], char string2[]) {
+  int i, len1, len2;
+  len1 = find_length(string1);
+  len2 = find_length(string2);
+  for (i = len1; i < len1 + len2; i++) {
+    string1[i] = string2[i - len1];
+  }
+  string1[i] = '\0'; //adding null character at the end of input
+}
+/*returns 0 if thery are same otherwise returns 1*/
+
+int compare_strings(char string1[], char string2[]) {
+  int len1, len2, i, count = 0;
+  len1 = find_length(string1);
+  len2 = find_length(string2);
+   if (len1 != len2)
+    return 1;
+  for (i = 0; i < len1; i++) {
+    if (string1[i] == string2[i])
+      count++;
+  }
+  if (count == len1)
+    return 0;
+  return 1;
+}
+
+void copy_string(char destination[], char source[]) {
+  int len, i;
+  len = find_length(source);
+  for (i = 0; i < len; i++) {
+    destination[i] = source[i];
+  }
+  destination[i] = '\0';
+}
+
+int main() {
+  char string1[20], string2[20]; //string variables declaration with size 20
+  int choice;
+  while (1) {
+    printf("\n1. Find Length \n2. Concatenate \n3. Compare \n4. Copy \n5. Exit\n");
+    printf("Enter your choice: ");
+    scanf("%d", & choice);
+    switch (choice) {
+    case 1:
+      printf("Enter the string: ");
+      scanf("%s", string1);
+      printf("The length of string is %d", find_length(string1));
+      break;
+    case 2:
+      printf("Enter two strings: ");
+      scanf("%s%s", string1, string2);
+      join_strings(string1, string2);
+      printf("The concatenated string is %s", string1);
+      break;
+    case 3:
+      printf("Enter two strings: ");
+      scanf("%s%s", string1, string2);
+      if (compare_strings(string1, string2) == 0) {
+        printf("They are equal");
+      } else {
+        printf("They are not equal");
+      }
+      break;
+    case 4:
+      printf("Enter a string: ");
+      scanf("%s", string1);
+      printf("String1 = %s\n");
+      printf("After copying string1 to string 2\n");
+      copy_string(string2, string1);
+      printf("String2 = %s", string2);
+      break;
+    case 5:
+      exit(0);
+    }
+  }
+  return 0;
+}
+```
+![1 string.c](https://i.imgur.com/vtWyi6f.png)
+---
+### 26) Programs to swap two numbers using call by value and call by refernce.
+#### Call by reference
+```C
+/* Call by reference */
+
+#include <stdio.h>
+void swap(int*, int*);
+ 
+int main() {
+   
+   int x, y;
+ 
+   printf("Enter the value of x and y\n");
+   scanf("%d%d",&x,&y);
+ 
+   printf("Before Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   swap(&x, &y); 
+ 
+   printf("After Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   return 0;
+}
+ 
+void swap(int *a, int *b)
+{
+   int temp;
+ 
+   temp = *b;
+   *b = *a;
+   *a = temp;
+}
+```
+![swapRef.c](https://i.imgur.com/Pp5yzpR.png)
+#### call by value 
+```C
+/* Call by value */
+
+#include <stdio.h>
+ 
+void swap(int, int);
+ 
+int main() {
+   
+   int x, y;
+ 
+   printf("Enter the value of x and y\n");
+   scanf("%d%d",&x,&y);
+ 
+   printf("Before Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   swap(x, y); 
+ 
+   printf("After Swapping\nx = %d\ny = %d\n", x, y);
+ 
+   return 0;
+}
+ 
+void swap(int a, int b) {
+   int temp;
+ 
+   temp = b;
+   b = a;
+   a = temp;
+    printf("Values of a and b is %d  %d\n",a,b);
+}
+```
+![swapVal.c](https://i.imgur.com/jwehWia.png)
+---
+### 27) Program to calculate factorial of a number with and without recursion both.
+```C
+/* With Recursion */
+
+#include<stdio.h>
+long int multiplyNumbers(int n);
+int main() {
+    
+int n;
+    printf("Enter a positive integer: ");
+    scanf("%d", &n);
+    printf("Factorial of %d = %ld\n", n, multiplyNumbers(n));
+    return 0;
+}
+long int multiplyNumbers(int n)
+{
+    if (n >= 1)
+        return n*multiplyNumbers(n-1);
+    else
+        return 1;
+}
+```
+![factRec.c](https://i.imgur.com/imf2Dhm.png)
+
+```C
+/* Without Recursion: */
+
+#include <stdio.h>
+
+int main() {
+  
+  int c, n, fact = 1;
+ 
+  printf("Enter a number to calculate its factorial\n");
+  scanf("%d", &n);
+ 
+  for (c = 1; c <= n; c++)
+    fact = fact * c;
+ 
+  printf("Factorial of %d = %d\n", n, fact);
+ 
+  return 0;
+}
+```
+![factWRec.c](https://i.imgur.com/eIZz1zG.png)
+---
+### 28) Program to print fibonacci series with and without recursion both.
+```C
+/* with recursion */
+
+#include<stdio.h>
+void series(int);		
+
+int main() {
+
+  int n;
+
+printf("\n\nEnter the number of terms you wish");
+  scanf("%d",&n);
+  printf("\n\n");
+
+  series(n);			
+  printf("\n\n\n");
+
+  return 0;
+}
+
+void series(int n)		
+
+{
+   int t1=0,t2=1,next;
+
+   for(int i=0;i<=n;i++)
+  {
+    printf("%d\t",t1);
+
+    next=t1+t2;
+    t1=t2;
+    t2=next;
+  }
+}
+```
+![fibrec.c](https://i.imgur.com/uCieoXY.png)
+
+```C
+/*  without  recursion */
+#include<stdio.h>    
+int main()    
+{    
+ int n1=0,n2=1,n3,i,number;    
+ printf("Enter the number of elements:");    
+ scanf("%d",&number);    
+ printf("\n%d %d\n",n1,n2); 
+ for(i=2;i<number;++i) 
+ {    
+  n3=n1+n2;    
+  printf(" %d\n",n3);    
+  n1=n2;    
+  n2=n3;    
+ }  
+  return 0;  
+ } 
+```
+![fibWrec.c](https://i.imgur.com/mz7AucT.png)
+---
+### 29) Program to calculate average of 5 numbers using function.
+```C
+ /* program to find average of 5 numbers  */
+ 
+#include<stdio.h>
+int avg(int,int,int,int,int);      
+ 
+int main() { int a1,a2,a3,a4,a5,res;
+   
+   printf("\nEnter the numbers respectiively: ");
+   scanf("%d%d%d%d%d",&a1,&a2,&a3,&a4,&a5);
+   
+   res=avg(a1,a2,a3,a4,a5);     
+   printf("Average of the numbers is %d\n",res);
+   
+   return 0; 
+ }
+ 
+ int avg(int a1,int a2,int a3,int a4,int a5)      
+ 
+ { int p; 
+   p=(a1+a2+a3+a4+a5)/5;
+   return p;
+ }
+ ```
+![averageFun.c](https://i.imgur.com/40hKV9N.png)
+---
+### 30) Program to implement linear serach and binary.
+```C
+/* Linear Search */
+#include <stdio.h>
+  
+int main()
+{
+  int array[100], search, c, n;
+ 
+  printf("Enter number of elements in array\n");
+  scanf("%d", &n);
+ 
+  printf("Enter %d integer(s)\n", n);
+   
+  for (c = 0; c < n; c++)
+    scanf("%d", &array[c]);
+    
+  printf("Enter a number to search\n");
+  scanf("%d", &search);
+ 
+  for (c = 0; c < n; c++)
+  {
+    if (array[c] == search)                                      
+    {
+      printf("%d is present at location %d.\n", search, c+1);
+      break;
+    }
+  }
+  if (c == n)
+    printf("%d isn't present in the array.\n", search);
+  
+  return 0;
+}
+```
+![linear.c](https://i.imgur.com/zeHWTQU.png)
+```C
+/* Binary Search */
+
+#include <stdio.h>
+ 
+int main()
+{
+   int c, first, last, middle, n, search, array[100];
+ 
+   printf("Enter number of elements\n");
+   scanf("%d",&n);
+ 
+   printf("Enter %d integers\n", n);
+ 
+   for (c = 0; c < n; c++)
+      scanf("%d",&array[c]);
+ 
+   printf("Enter value to find\n");
+   scanf("%d", &search);
+ 
+   first = 0;
+   last = n - 1;
+   middle = (first+last)/2;
+ 
+   while (first <= last) {
+      if (array[middle] < search)
+         first = middle + 1;    
+      else if (array[middle] == search) {
+         printf("%d found at location %d.\n", search, middle+1);
+         break;
+      }
+      else
+         last = middle - 1;
+ 
+      middle = (first + last)/2;
+   }
+   if (first > last)
+      printf("Not found! %d isn't present in the list.\n", search);
+ 
+   return 0;  
+}
+```
+![binary.c](https://i.imgur.com/IBuIKew.png)
+---
+### 31) Program to implement bubble sort.
+```C 
+#include <stdio.h>
+ 
+int main()
+{
+  int array[100], n, c, d, swap;
+ 
+  printf("Enter number of elements\n");
+  scanf("%d", &n);
+ 
+  printf("Enter %d integers\n", n);
+ 
+  for (c = 0; c < n; c++)
+    scanf("%d", &array[c]);
+ 
+  for (c = 0 ; c < n - 1; c++)
+  {
+    for (d = 0 ; d < n - c - 1; d++)
+    {
+      if (array[d] > array[d+1]) 
+      {
+        swap       = array[d];
+        array[d]   = array[d+1];
+        array[d+1] = swap;
+      }
+    }
+  }
+ 
+  printf("Sorted list in ascending order:\n");
+ 
+  for (c = 0; c < n; c++)
+     printf("%d\n", array[c]);
+ 
+  return 0;
+}
+```
+![bubble.c](https://i.imgur.com/J4w9qBc.png)
+---
+### 32) Program to store information of 10 students using array of structures.
+```C
+/* Structures for student */
+
+#include <stdio.h>
+struct student
+{
+    char name[50];
+    int roll;
+    float marks;
+} s[10];
+int main()
+{
+    int i;
+    printf("Enter information of students:\n");
+    for(i=0; i<3; ++i)
+    {
+        s[i].roll = i+1;
+        printf("\nFor roll number%d,\n",s[i].roll);
+        printf("Enter name: ");
+        scanf("%s",s[i].name);
+        printf("Enter marks: ");
+        scanf("%f",&s[i].marks);
+        printf("\n");
+    }
+    printf("Displaying Information:\n\n");
+    for(i=0; i<3; ++i)
+    {
+        printf("\nRoll number: %d\n",i+1);
+        printf("Name: ");
+        puts(s[i].name);
+        printf("Marks: %.1f",s[i].marks);
+        printf("\n");
+    }
+    return 0;
+}
+```
+![student10Struct.c](https://i.imgur.com/3jZwubx.png)
+---
+### 33) Programs to compute the transpose of a matrix.
+```C
+#include <stdio.h>
+int main()
+{
+    int a[10][10], transpose[10][10], r, c, i, j;
+    printf("Enter rows and columns of matrix: ");
+    scanf("%d %d", &r, &c);
+    
+    printf("\nEnter elements of matrix:\n");
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            printf("Enter element a%d%d: ",i+1, j+1);
+            scanf("%d", &a[i][j]);
+        }
+        
+
+    printf("\nEntered Matrix: \n");
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            printf("%d  ", a[i][j]);
+            if (j == c-1)
+                printf("\n\n");
+        }
+    
+    for(i=0; i<r; ++i)
+        for(j=0; j<c; ++j)
+        {
+            transpose[j][i] = a[i][j];
+        }
+    
+    printf("\nTranspose of Matrix:\n");
+    for(i=0; i<c; ++i)
+        for(j=0; j<r; ++j)
+        {
+            printf("%d  ",transpose[i][j]);
+            if(j==r-1)
+                printf("\n\n");
+        }
+    return 0;
+}
+```
+![transpose.c](https://i.imgur.com/0I2yPhu.png)
+---
+### 34) Program to print the address of variable using pointer.
+```C
+#include <stdio.h>
+int main() {
+  int a;
+  int *pt;
+
+  a = 10;
+  pt = &a;
+
+  printf("\n[&a ]:Address of A = %p", &a);
+
+
+  return 0;
+}
+
+```
+![pointerAddVar.c](https://i.imgur.com/bZhs0eR.png)
+---
+### 35) Program to access array using pointer.
+```C
+#include <stdio.h>
+int main()
+{
+   int data[5], i;
+   printf("Enter elements: ");
+   for(i = 0; i < 5; ++i)
+     scanf("%d", data + i);
+   printf("You entered: \n");
+   for(i = 0; i < 5; ++i)
+      printf("%d\n", *(data + i));
+   return 0;
+}
+```
+![pointerArray.c](https://i.imgur.com/cxcL4Uc.png)
 
-Follow instructions give in README.md file, found in respective folder.