@@ -33,7 +33,7 @@ console.log(isPalindrome("racecar")); // Output: true
3333``` js 
3434function  binarySearch (arr , target ) {
3535  let  left =  0 ,
36-     right =  arr .length  -  1 ;
36+        right =  arr .length  -  1 ;
3737  while  (left <=  right) {
3838    const  mid  =  Math .floor ((left +  right) /  2 );
3939    if  (arr[mid] ===  target) return  mid;
@@ -46,7 +46,7 @@ function binarySearch(arr, target) {
4646console .log (binarySearch ([1 , 2 , 3 , 4 , 5 ], 4 )); //  Output: 3
4747``` 
4848
49- ** Explanation** : Efficiently searches  for a target in a sorted array using a divide-and-conquer approach.
49+ ** Explanation** : Searches  for a target in a sorted array using a divide-and-conquer approach (Time complexity: O(log n)) .
5050
5151## 4. Fibonacci Sequence (Recursive)  
5252
@@ -61,7 +61,7 @@ console.log(fibonacci(6)); // Output: 8
6161
6262** Explanation** : Generates the nth Fibonacci number recursively by summing the two preceding numbers.
6363
64- ⚠️ ** Note** : This approach has ** exponential time complexity O(2< sup >n</ sup >) **  and is inefficient for large inputs. Consider  memoization or iteration for better performance.
64+ ⚠️ ** Note** : This approach has exponential time complexity O(2^n)  and is inefficient for large inputs. Use  memoization or iteration for better performance.
6565
6666## 5. Factorial of a Number  
6767
@@ -108,9 +108,7 @@ console.log(findMax([1, 2, 3, 4, 5])); // Output: 5
108108
109109``` js 
110110function  mergeSortedArrays (arr1 , arr2 ) {
111-   let  merged =  [],
112-     i =  0 ,
113-     j =  0 ;
111+   let  merged =  [], i =  0 , j =  0 ;
114112  while  (i <  arr1 .length  &&  j <  arr2 .length ) {
115113    if  (arr1[i] <  arr2[j]) {
116114      merged .push (arr1[i]);
@@ -126,7 +124,7 @@ function mergeSortedArrays(arr1, arr2) {
126124console .log (mergeSortedArrays ([1 , 3 , 5 ], [2 , 4 , 6 ])); //  Output: [1, 2, 3, 4, 5, 6]
127125``` 
128126
129- ** Explanation** : Combines  two sorted arrays into one sorted array by comparing elements sequentially.
127+ ** Explanation** : Merges  two sorted arrays into one sorted array by comparing elements sequentially.
130128
131129## 9. Bubble Sort  
132130
@@ -145,7 +143,7 @@ function bubbleSort(arr) {
145143console .log (bubbleSort ([5 , 3 , 8 , 4 , 2 ])); //  Output: [2, 3, 4, 5, 8]
146144``` 
147145
148- ** Explanation** : Sorts an array by repeatedly swapping adjacent elements if they are in the wrong order.
146+ ** Explanation** : Sorts an array by repeatedly swapping adjacent elements if they are in the wrong order (Time complexity: O(n²)) .
149147
150148## 10. Find the GCD (Greatest Common Divisor)  
151149
@@ -158,4 +156,4 @@ function gcd(a, b) {
158156console .log (gcd (48 , 18 )); //  Output: 6
159157``` 
160158
161- ** Explanation** : Uses the Euclidean algorithm to compute the greatest common divisor of two numbers.
159+ ** Explanation** : Uses the Euclidean algorithm to compute the greatest common divisor of two numbers (Time complexity: O(log min(a, b))) .
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