interleaving string added

Author: utchak160

Diff for: Backtracking

@@ -0,0 +1,73 @@
+#include <iostream> 
+#include <string.h> 
+using namespace std; 
+   
+bool isInterleaved( 
+    char* A, char* B, char* C) 
+{ 
+    int M = strlen(A), N = strlen(B); 
+ 
+    bool IL[M + 1][N + 1]; 
+  
+    memset(IL, 0, sizeof(IL)); 
+
+    if ((M + N) != strlen(C)) 
+        return false; 
+  
+    for (int i = 0; i <= M; ++i) { 
+        for (int j = 0; j <= N; ++j) { 
+
+            if (i == 0 && j == 0) 
+                IL[i][j] = true; 
+  
+            else if (i == 0) { 
+                if (B[j - 1] == C[j - 1]) 
+                    IL[i][j] = IL[i][j - 1]; 
+            } 
+  
+            else if (j == 0) { 
+                if (A[i - 1] == C[i - 1]) 
+                    IL[i][j] = IL[i - 1][j]; 
+            } 
+
+            else if ( 
+                A[i - 1] == C[i + j - 1] 
+                && B[j - 1] != C[i + j - 1]) 
+                IL[i][j] = IL[i - 1][j]; 
+
+            else if ( 
+                A[i - 1] != C[i + j - 1] 
+                && B[j - 1] == C[i + j - 1]) 
+                IL[i][j] = IL[i][j - 1]; 
+
+            else if ( 
+                A[i - 1] == C[i + j - 1] 
+                && B[j - 1] == C[i + j - 1]) 
+                IL[i][j] 
+                    = (IL[i - 1][j] 
+                       || IL[i][j - 1]); 
+        } 
+    } 
+  
+    return IL[M][N]; 
+} 
+  
+void test(char* A, char* B, char* C) 
+{ 
+    if (isInterleaved(A, B, C)) 
+        cout << C << " is interleaved of "
+             << A << " and " << B << endl; 
+    else
+        cout << C << " is not interleaved of "
+             << A << " and " << B << endl; 
+} 
+  
+int main() 
+{ 
+    test("XXY", "XXZ", "XXZXXXY"); 
+    test("XY", "WZ", "WZXY"); 
+    test("XY", "X", "XXY"); 
+    test("YX", "X", "XXY"); 
+    test("XXY", "XXZ", "XXXXZY"); 
+    return 0; 
+}