From c1b2cee73cebb0eb106e4186feaf269d63a58a08 Mon Sep 17 00:00:00 2001
From: amitmittal117 <amitarmittal@gmail.com>
Date: Tue, 25 Nov 2025 00:28:11 -0800
Subject: [PATCH] [IMP] Array-1

---
 diagonal-traverse.py            | 43 +++++++++++++++++++++++++++
 product-of-array-except-self.py | 51 +++++++++++++++++++++++++++++++++
 spiral-matrix.py                | 44 ++++++++++++++++++++++++++++
 3 files changed, 138 insertions(+)
 create mode 100644 diagonal-traverse.py
 create mode 100644 product-of-array-except-self.py
 create mode 100644 spiral-matrix.py

diff --git a/diagonal-traverse.py b/diagonal-traverse.py
new file mode 100644
index 00000000..a5df7582
--- /dev/null
+++ b/diagonal-traverse.py
@@ -0,0 +1,43 @@
+class Solution:
+    def findDiagonalOrder(self, mat):
+        '''
+        TC: O(n)
+        SC: O(1)
+        Leetcode: Solved without any issue.
+        issue: we can use a while loop instead of a for loop.
+        '''
+        m = len(mat)
+        n = len(mat[0])
+        r, c = 0, 0
+        flag = True
+        res = []
+        for i in range(m * n):
+            res.append(mat[r][c])
+            if flag:
+                if r == 0 and c != n - 1:
+                    c += 1
+                    flag = False
+                elif c == n - 1:
+                    r += 1
+                    flag = False
+                else:
+                    r -= 1
+                    c += 1
+            else:
+                if c == 0 and r != m - 1:
+                    r += 1
+                    flag = True
+                elif r == m - 1:
+                    c += 1
+                    flag = True
+                else:
+                    c -= 1
+                    r += 1
+        return res
+
+
+s = Solution()
+mat = [[1,2,3],[4,5,6],[7,8,9]]
+print(s.findDiagonalOrder(mat))
+mat = [[1,2],[3,4]]
+print(s.findDiagonalOrder(mat))
diff --git a/product-of-array-except-self.py b/product-of-array-except-self.py
new file mode 100644
index 00000000..4f12548a
--- /dev/null
+++ b/product-of-array-except-self.py
@@ -0,0 +1,51 @@
+class Solution:
+    '''
+    TC: O(3n) = O(n)
+    SC: O(2n) = O(n)
+    Leetcode: solved this problem
+    Issue: here we are using more space then required we can optimize this.
+    '''
+    def productExceptSelf(self, nums):
+        res = []
+        rp = 1
+        n = len(nums)
+        left = [1] * n
+        right = [1] * n
+        for i in range(1, n):
+            rp *= nums[i - 1]
+            left[i] = rp
+        rp = 1
+        for i in range(n - 2, -1, -1):
+            rp *= nums[i + 1]
+            right[i] = rp
+        for i in range(n):
+            res.append(left[i] * right[i])
+        return res
+
+    '''
+    TC: O(2n) = O(n)
+    SC: O(1)
+    Leetcode: Solve this problem
+    Issue: Optimized with no issue.
+    '''
+    def productExceptSelf(self, nums):
+        n = len(nums)
+        res = [1] * n
+        rp = 1
+        for i in range(1, n):
+            rp *= nums[i - 1]
+            res[i] = rp
+        rp = 1
+        for i in range(n - 2, -1, -1):
+            rp *= nums[i + 1]
+            res[i] *= rp
+        
+        return res
+
+
+
+s = Solution()
+nums = [1,2,3,4]
+print(s.productExceptSelf(nums))
+nums = [-1,1,0,-3,3]
+print(s.productExceptSelf(nums))
\ No newline at end of file
diff --git a/spiral-matrix.py b/spiral-matrix.py
new file mode 100644
index 00000000..032e71b7
--- /dev/null
+++ b/spiral-matrix.py
@@ -0,0 +1,44 @@
+class Solution:
+    '''
+    TC: O(m *n)
+    SC: O(1)
+    Leetcode: Completed the problem with no issue.
+    intuation: Use 4 pointer top, left, right, and bottom. use them to traverse the matrix to get the spiral. 
+    '''
+    def spiralOrder(self, matrix):
+        m = len(matrix)
+        n = len(matrix[0])
+        left = 0
+        right = n - 1
+        top = 0
+        bottom = m  - 1
+        res = []
+        while left <= right and top <= bottom:
+            # top
+            for i in range(left, right + 1):
+                res.append(matrix[top][i])
+            top += 1
+
+            # right
+            for i in range(top, bottom + 1):
+                res.append(matrix[i][right])
+            right -= 1
+
+            # bottom
+            if top <= bottom:
+                for i in range(right, left-1, -1):
+                    res.append(matrix[bottom][i])
+                bottom -= 1
+            # left
+            if left <= right:
+                for i in range(bottom, top-1, -1):
+                    res.append(matrix[i][left])
+                left += 1
+        return res
+
+
+s = Solution()
+matrix = [[1,2,3],[4,5,6],[7,8,9]]
+print(s.spiralOrder(matrix))
+matrix = [[1,2,3,4],[5,6,7,8],[9,10,11,12]]
+print(s.spiralOrder(matrix))