From d5890ecc87b2c9468e661e657357562823e2e91a Mon Sep 17 00:00:00 2001
From: RKS <rishabhks1998@gmail.com>
Date: Sat, 10 Oct 2020 13:16:01 +0530
Subject: [PATCH] Added 0074_Search_a_2D_Matrix.py

---
 LeetCode/0074_Search_a_2D_Matrix.py | 36 +++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100644 LeetCode/0074_Search_a_2D_Matrix.py

diff --git a/LeetCode/0074_Search_a_2D_Matrix.py b/LeetCode/0074_Search_a_2D_Matrix.py
new file mode 100644
index 0000000..9bd7569
--- /dev/null
+++ b/LeetCode/0074_Search_a_2D_Matrix.py
@@ -0,0 +1,36 @@
+class Solution:
+    def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:
+        
+        def binary_search(arr, target):
+            low = 0
+            high = len(arr)-1
+            while low<=high:
+                mid = low + (high-low)//2
+                if arr[mid] == target:
+                    return True
+                elif arr[mid]<target:
+                    low = mid+1
+                else:
+                    high = mid-1
+                    
+            return False
+        
+        if not matrix or not matrix[0]:
+            return False
+        
+        rowlow = 0
+        rowhigh = len(matrix)-1
+        
+        while rowlow <= rowhigh:
+            mid = rowlow + (rowhigh-rowlow)//2
+            
+            if matrix[mid][0]<=target<=matrix[mid][-1]:
+                return binary_search(matrix[mid], target)
+            
+            elif target < matrix[mid][0]:
+                rowhigh = mid-1
+            
+            else:
+                rowlow = mid+1
+                
+        return False
\ No newline at end of file