From fea793b4f5ff367505515dee863c426e7b1ed1fd Mon Sep 17 00:00:00 2001
From: khushboo nijhawan <79616524+KhushbooNijhawan@users.noreply.github.com>
Date: Sun, 23 Oct 2022 23:04:32 +0530
Subject: [PATCH] Dynamic Programming Solutions

---
 C++/House Robber.cpp    | 33 +++++++++++++++++++++++++++++++++
 C++/climbing_stairs.cpp | 20 ++++++++++++++++++++
 2 files changed, 53 insertions(+)
 create mode 100644 C++/House Robber.cpp
 create mode 100644 C++/climbing_stairs.cpp

diff --git a/C++/House Robber.cpp b/C++/House Robber.cpp
new file mode 100644
index 0000000..212e5ca
--- /dev/null
+++ b/C++/House Robber.cpp	
@@ -0,0 +1,33 @@
+class Solution {
+public:
+    int rob(vector<int>& nums) {
+        int sum[nums.size()+1];
+        if(nums.size()<2){
+            return nums[nums.size()-1];
+        }
+        bool flag =false;
+        sum[0] = nums[0];
+        sum[1] = max(nums[0],nums[1]);
+        if(max(nums[0],nums[1])==nums[1]){
+            flag = true;
+        }
+        for(int i = 2;i<nums.size();i++){
+            if(flag == true){
+                // sum[i] = nums[i] + sum[i-2];
+                int m = max(sum[i-1],sum[i-2]+nums[i]);
+                if(m == sum[i-1]){
+                    flag = false;
+                }
+                sum[i] = m;
+            }
+            else{
+                int m = max(sum[i-1]+nums[i],sum[i-2]+nums[i]);
+                flag = true;
+                sum[i] = m;
+                
+            }
+        }
+        return sum[nums.size()-1];
+        
+    }
+};
\ No newline at end of file
diff --git a/C++/climbing_stairs.cpp b/C++/climbing_stairs.cpp
new file mode 100644
index 0000000..4fc8597
--- /dev/null
+++ b/C++/climbing_stairs.cpp
@@ -0,0 +1,20 @@
+class Solution
+{
+public:
+    int climbStairs(int n)
+    {
+        //fibonacci
+        if (n < 3)
+            return n;
+        int x = 1;
+        int y = 2;
+        int ans;
+        for (int i = 3; i <= n; i++)
+        {
+            ans = x + y;
+            x = y;
+            y = ans;
+        }
+        return ans;
+    }
+};
\ No newline at end of file