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Merge pull request #372 from Soumyadipgithub/main
Fix the Footer bug completely.
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,104 @@ | ||
| # <div align="Center">Divide and Conquer</div> | ||
| ## Divide and Conquer is a problem-solving technique that breaks down a large problem into smaller, more manageable subproblems. These subproblems are solved independently and then combined to find the solution to the original problem. This approach helps in reducing complexity and improving efficiency in many algorithms. It is often used in algorithms related to sorting, searching, and multiplication. | ||
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| ### Example: Merge Sort | ||
| ### 1. Divide the array into two halves. | ||
| ### 2. Recursively sort each half. | ||
| ### 3. Merge the two sorted halves to form a sorted array. | ||
| ### In this case, the problem of sorting an array is divided into smaller subproblems, each of which is easier to solve. | ||
| <hr> | ||
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| ### For Example : | ||
| ``` | ||
| #include <stdio.h> | ||
| // Function to merge two halves into a sorted array | ||
| void merge(int arr[], int left, int mid, int right) { | ||
| int n1 = mid - left + 1; | ||
| int n2 = right - mid; | ||
| // Create temporary arrays | ||
| int leftArr[n1], rightArr[n2]; | ||
| // Copy data to temporary arrays | ||
| for (int i = 0; i < n1; i++) | ||
| leftArr[i] = arr[left + i]; | ||
| for (int j = 0; j < n2; j++) | ||
| rightArr[j] = arr[mid + 1 + j]; | ||
| // Merge the temp arrays back into the original array | ||
| int i = 0, j = 0, k = left; | ||
| while (i < n1 && j < n2) { | ||
| if (leftArr[i] <= rightArr[j]) { | ||
| arr[k] = leftArr[i]; | ||
| i++; | ||
| } else { | ||
| arr[k] = rightArr[j]; | ||
| j++; | ||
| } | ||
| k++; | ||
| } | ||
| // Copy remaining elements of leftArr[], if any | ||
| while (i < n1) { | ||
| arr[k] = leftArr[i]; | ||
| i++; | ||
| k++; | ||
| } | ||
| // Copy remaining elements of rightArr[], if any | ||
| while (j < n2) { | ||
| arr[k] = rightArr[j]; | ||
| j++; | ||
| k++; | ||
| } | ||
| } | ||
| // Function to implement Merge Sort | ||
| void mergeSort(int arr[], int left, int right) { | ||
| if (left < right) { | ||
| int mid = left + (right - left) / 2; // Find the middle point | ||
| // Recursively sort the first and second halves | ||
| mergeSort(arr, left, mid); | ||
| mergeSort(arr, mid + 1, right); | ||
| // Merge the sorted halves | ||
| merge(arr, left, mid, right); | ||
| } | ||
| } | ||
| // Function to print the array | ||
| void printArray(int arr[], int size) { | ||
| for (int i = 0; i < size; i++) | ||
| printf("%d ", arr[i]); | ||
| printf("\n"); | ||
| } | ||
| // Main function | ||
| int main() { | ||
| int arr[] = {38, 27, 43, 3, 9, 82, 10}; | ||
| int size = sizeof(arr) / sizeof(arr[0]); | ||
| printf("Original Array: \n"); | ||
| printArray(arr, size); | ||
| // Call mergeSort to sort the array | ||
| mergeSort(arr, 0, size - 1); | ||
| printf("Sorted Array: \n"); | ||
| printArray(arr, size); | ||
| return 0; | ||
| } | ||
| ``` | ||
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| ### Output: | ||
| ``` | ||
| Original Array: | ||
| 38 27 43 3 9 82 10 | ||
| Sorted Array: | ||
| 3 9 10 27 38 43 82 | ||
| ``` |
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