diff --git a/palindrome_partitioning.cpp b/palindrome_partitioning.cpp
new file mode 100644
index 00000000..45314a8b
--- /dev/null
+++ b/palindrome_partitioning.cpp
@@ -0,0 +1,35 @@
+class Solution {
+public:
+    vector<vector<string>> answer;
+    void backtrack(vector<string> temp, int start, string s) {
+
+        if (start >= s.length()) {
+            answer.push_back(temp);
+        }
+
+        auto isPalindrome = [=] (string substring) -> bool {
+            int start = 0;
+            int end = substring.length()-1;
+            while (start < end) {
+                if (substring[start++] != substring[end--]) {
+                    return false;
+                }
+            }
+            return true;
+        };
+
+        for (int i=start;i<s.length();i++) {
+            string str = s.substr(start, i-start+1); // substr(index, length) --> creates substring from index+1 of size length 
+            if (isPalindrome(str)) {
+                temp.push_back(str);
+                backtrack(temp, i+1, s);
+                temp.pop_back();
+            }
+        }
+    }
+    vector<vector<string>> partition(string s) {
+        vector<string> temp;
+        backtrack(temp, 0, s);
+        return answer;
+    }
+};
diff --git a/subset.cpp b/subset.cpp
new file mode 100644
index 00000000..90e95937
--- /dev/null
+++ b/subset.cpp
@@ -0,0 +1,22 @@
+class Solution {
+public:
+    vector<vector<int>> answer;
+    void backtrack(vector<int> temp, vector<int>& nums, int index) {
+        answer.push_back(temp);
+        
+        if (index == nums.size()) {
+            return;
+        }
+
+        for (int i=index;i<nums.size();i++) {
+            temp.push_back(nums[i]);
+            backtrack(temp, nums, i+1);
+            temp.pop_back();
+        }
+    }
+    vector<vector<int>> subsets(vector<int>& nums) {
+        vector<int> temp;
+        backtrack(temp, nums, 0);
+        return answer;
+    }
+};