add: Merge Sorted Array

Author: Ashutosh00710

Diff for: array/MergeSortedArray.cpp

@@ -0,0 +1,78 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+class Solution{
+public:
+    // Time Complexity: O(n * mlog(m))
+    // Space Complexity: O(1)
+    // TLE
+	void mergeApproachOne(int arr1[], int arr2[], int n, int m) {
+	    int j = 0;
+	    for(int i = 0; i < n; i++) {
+	        if(arr1[i] > arr2[0]) {
+	            swap(arr1[i], arr2[0]);
+	            sort(arr2, arr2 + m);
+	        }
+	    }
+	}
+
+    // GAP Algorithm
+    // Time Complexity: O(n+m * log2(n+m))
+    // Space Complexity: O(1)
+    // AC
+    int nextGap(int gap) {
+        if(gap <= 1)
+            return 0;
+        return (gap / 2) + (gap % 2);
+    }
+    void merge(int arr1[], int arr2[], int n, int m) {
+        int i, j, gap = n + m;
+        for (gap = nextGap(gap); gap > 0; gap = nextGap(gap)) {
+            for (i = 0; i + gap < n; i++) {
+                if (arr1[i] > arr1[i + gap]) {
+                    swap(arr1[i], arr1[i + gap]);
+                }
+            }
+
+            for (j = gap > n ? gap - n : 0; j < m && i < n; j++, i++) {
+                if(arr1[i] > arr2[j]) {
+                    swap(arr1[i], arr2[j]);
+                }
+            }
+
+            if(j < m) {
+                for (j = 0; j + gap < m; j++) {
+                    if(arr2[j] > arr2[j + gap]) {
+                        swap(arr2[j], arr2[j + gap]);
+                    }
+                }
+            }
+        }
+    }
+};
+
+int main() {
+    int t;
+    cin >> t;
+    while (t--) {
+        int n, m, i;
+        cin >> n >> m;
+        int arr1[n], arr2[m];
+        for (i = 0; i < n; i++) {
+            cin >> arr1[i];
+        }
+        for (i = 0; i < m; i++) {
+            cin >> arr2[i];
+        }
+        Solution ob;
+        ob.merge(arr1, arr2, n, m);
+        for (i = 0; i < n; i++) {
+            cout << arr1[i] << " ";
+        }
+        for (i = 0; i < m; i++) {
+            cout << arr2[i] << " ";
+        }
+        cout << "\n";
+    }
+    return 0;
+}