From 769de9fe8c847c3558ee65783cc98bdc512c591c Mon Sep 17 00:00:00 2001
From: Reetam101 <reetamraj2@gmail.com>
Date: Mon, 21 Jun 2021 11:39:04 +0530
Subject: [PATCH 1/2] Added the largest rectangle in histogram program

---
 .../Largest Rectangle In Histogram/README.md  |  10 ++++
 .../histogram.jpg                             | Bin 0 -> 12560 bytes
 .../largest.cpp                               |  50 ++++++++++++++++++
 3 files changed, 60 insertions(+)
 create mode 100644 Uncategorized/Largest Rectangle In Histogram/README.md
 create mode 100644 Uncategorized/Largest Rectangle In Histogram/histogram.jpg
 create mode 100644 Uncategorized/Largest Rectangle In Histogram/largest.cpp

diff --git a/Uncategorized/Largest Rectangle In Histogram/README.md b/Uncategorized/Largest Rectangle In Histogram/README.md
new file mode 100644
index 00000000..85960ca1
--- /dev/null
+++ b/Uncategorized/Largest Rectangle In Histogram/README.md	
@@ -0,0 +1,10 @@
+# Largest Rectangle In Histogram
+
+Given an array of integers heights representing the histogram's bar height where the width of each bar is 1, return the area of the largest rectangle in the histogram.
+
+## Example:
+![alt text](https://github.com/Reetam101/algorithms/blob/add-programs/histogram.jpg?raw=true)
+Input: heights = [2,1,5,6,2,3]
+Output: 10
+Explanation: The above is a histogram where width of each bar is 1.
+The largest rectangle is shown in the red area, which has an area = 10 units.
\ No newline at end of file
diff --git a/Uncategorized/Largest Rectangle In Histogram/histogram.jpg b/Uncategorized/Largest Rectangle In Histogram/histogram.jpg
new file mode 100644
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diff --git a/Uncategorized/Largest Rectangle In Histogram/largest.cpp b/Uncategorized/Largest Rectangle In Histogram/largest.cpp
new file mode 100644
index 00000000..4314c6b3
--- /dev/null
+++ b/Uncategorized/Largest Rectangle In Histogram/largest.cpp	
@@ -0,0 +1,50 @@
+#include <iostream>
+#include <vector>
+#include <stack>
+using namespace std;
+
+vector<int> nearestSmallerOnRight(vector<int>& heights) {
+    stack<int>st;
+    vector<int>ans(heights.size(),heights.size());
+    for(int i=0;i<heights.size();i++)
+    {
+        while(!st.empty() && heights[i]<heights[st.top()])
+        {
+            ans[st.top()]=i;
+            st.pop();
+        }
+        st.push(i);
+    }  
+    return ans;
+}
+
+vector<int> nearestSmallerOnLeft(vector<int>& heights)
+{
+    stack<int>st;
+    vector<int>ans(heights.size(),-1);
+    for(int i=heights.size()-1;i>=0;i--)
+    {
+        while(!st.empty() && heights[i]<heights[st.top()])
+        {
+            ans[st.top()]=i;
+            st.pop();
+        }
+        st.push(i);
+    }
+    return ans;
+}
+
+int largestRectangleArea(vector<int>& heights)
+{
+    vector<int>NSR=nearestSmallerOnRight(heights);
+    vector<int>NSL=nearestSmallerOnLeft(heights);
+    int ans=0;
+    for(int i=0;i<heights.size();i++)
+        ans=max(ans,(NSR[i]-NSL[i]-1)*heights[i]);
+    return ans;
+}
+
+int main() {
+    vector<int> vec = {2, 1, 5, 6, 2, 3};
+    cout << largestRectangleArea(vec);
+}

From a69fe9250f52102c1cbf0b0f5909c3578fabc906 Mon Sep 17 00:00:00 2001
From: Reetam101 <reetamraj2@gmail.com>
Date: Mon, 21 Jun 2021 12:14:10 +0530
Subject: [PATCH 2/2] Added the largest rectangle in histogram problem

---
 Uncategorized/Largest Rectangle In Histogram/README.md | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Uncategorized/Largest Rectangle In Histogram/README.md b/Uncategorized/Largest Rectangle In Histogram/README.md
index 85960ca1..5fc804fe 100644
--- a/Uncategorized/Largest Rectangle In Histogram/README.md	
+++ b/Uncategorized/Largest Rectangle In Histogram/README.md	
@@ -3,7 +3,8 @@
 Given an array of integers heights representing the histogram's bar height where the width of each bar is 1, return the area of the largest rectangle in the histogram.
 
 ## Example:
-![alt text](https://github.com/Reetam101/algorithms/blob/add-programs/histogram.jpg?raw=true)
+![plot](./histogram.jpg?raw=true)
+
 Input: heights = [2,1,5,6,2,3]
 Output: 10
 Explanation: The above is a histogram where width of each bar is 1.