Merge pull request #1476 from ivan1016017/december05

adding algos

Author: ivanpenaloza

src/my_project/interviews/top_150_questions_round_22/ex_15_candy.py

@@ -0,0 +1,94 @@
+from typing import List, Union, Collection, Mapping, Optional
+from abc import ABC, abstractmethod
+
+class Solution:
+    def candy(self, ratings: List[int]) -> int:
+        """
+        Distribute candies to children based on ratings.
+        
+        Rules:
+        1. Each child gets at least 1 candy
+        2. Children with higher rating than neighbors get more candies
+        
+        Strategy: Two-pass greedy
+        - Left-to-right: Ensure each child has more candies than left neighbor if rating is higher
+        - Right-to-left: Ensure each child has more candies than right neighbor if rating is higher
+        - Take maximum from both passes to satisfy both neighbors
+        
+        Time: O(n), Space: O(n)
+        """
+        
+        n = len(ratings)
+        if n == 0:
+            return 0
+        
+        # Initialize all children with 1 candy
+        candies = [1] * n
+        
+        # Left-to-right pass: Compare with left neighbor
+        # If current child has higher rating than left neighbor,
+        # give them one more candy than left neighbor
+        for i in range(1, n):
+            if ratings[i] > ratings[i - 1]:
+                candies[i] = candies[i - 1] + 1
+        
+        # Right-to-left pass: Compare with right neighbor
+        # If current child has higher rating than right neighbor,
+        # ensure they have more candies (take max of current and right+1)
+        for i in range(n - 2, -1, -1):
+            if ratings[i] > ratings[i + 1]:
+                candies[i] = max(candies[i], candies[i + 1] + 1)
+        
+        # Return total candies needed        
+        return sum(candies)
+    
+
+"""
+Example walkthrough for ratings = [1, 0, 2]:
+
+Initial: candies = [1, 1, 1]
+
+Left-to-right pass:
+i=1: ratings[1]=0 < ratings[0]=1 → no change → candies = [1, 1, 1]
+i=2: ratings[2]=2 > ratings[1]=0 → candies[2] = candies[1] + 1 = 2 → candies = [1, 1, 2]
+
+Right-to-left pass:
+i=1: ratings[1]=0 < ratings[2]=2 → no change → candies = [1, 1, 2]
+i=0: ratings[0]=1 > ratings[1]=0 → candies[0] = max(1, 1+1) = 2 → candies = [2, 1, 2]
+
+Total: 2 + 1 + 2 = 5
+
+
+Example walkthrough for ratings = [1, 2, 2]:
+
+Initial: candies = [1, 1, 1]
+
+Left-to-right pass:
+i=1: ratings[1]=2 > ratings[0]=1 → candies[1] = 1 + 1 = 2 → candies = [1, 2, 1]
+i=2: ratings[2]=2 = ratings[1]=2 → no change → candies = [1, 2, 1]
+
+Right-to-left pass:
+i=1: ratings[1]=2 = ratings[2]=2 → no change → candies = [1, 2, 1]
+i=0: ratings[0]=1 < ratings[1]=2 → no change → candies = [1, 2, 1]
+
+Total: 1 + 2 + 1 = 4
+
+
+Example walkthrough for ratings = [1, 3, 2, 2, 1]:
+
+Initial: candies = [1, 1, 1, 1, 1]
+
+Left-to-right:
+i=1: 3 > 1 → candies[1] = 2 → [1, 2, 1, 1, 1]
+i=2: 2 < 3 → no change → [1, 2, 1, 1, 1]
+i=3: 2 = 2 → no change → [1, 2, 1, 1, 1]
+i=4: 1 < 2 → no change → [1, 2, 1, 1, 1]
+
+Right-to-left:
+i=3: 2 > 1 → candies[3] = max(1, 2) = 2 → [1, 2, 1, 2, 1]
+i=2: 2 = 2 → no change → [1, 2, 1, 2, 1]
+i=1: 3 > 2 → candies[1] = max(2, 2) = 2 → [1, 2, 1, 2, 1]
+i=0: 1 < 3 → no change → [1, 2, 1, 2, 1]
+
+Total: 1 + 2 + 1 + 2 + 1 = 7
+"""

src/my_project/interviews/top_150_questions_round_22/ex_16_trapping_rain_water.py

@@ -0,0 +1,45 @@
+from typing import List, Union, Collection, Mapping, Optional
+from abc import ABC, abstractmethod
+
+class Solution:
+    def trap(self, height: List[int]) -> int:
+        """
+        Calculate how much water can be trapped after raining.
+        
+        Key insight: Water trapped at position i = min(max_left, max_right) - height[i]
+        (if positive)
+        
+        Strategy: Two-pointer approach
+        - Use two pointers from both ends
+        - Track max height seen from left and right
+        - Move pointer with smaller max height (water level determined by shorter side)
+        - Add water trapped at current position
+        
+        Time: O(n), Space: O(1)
+        """
+        
+        if not height or len(height) < 3:
+            return 0
+        
+        left, right = 0, len(height) - 1
+        left_max, right_max = 0, 0
+        water_trapped = 0
+        
+        while left < right:
+            # Update max heights seen so far
+            left_max = max(left_max, height[left])
+            right_max = max(right_max, height[right])
+            
+            # Water level is determined by the shorter side
+            if left_max < right_max:
+                # Left side is shorter, so water trapped at left position
+                # is determined by left_max
+                water_trapped += left_max - height[left]
+                left += 1
+            else:
+                # Right side is shorter or equal, so water trapped at right position
+                # is determined by right_max
+                water_trapped += right_max - height[right]
+                right -= 1
+        
+        return water_trapped

tests/test_150_questions_round_22/test_15_candy_round_22.py

@@ -0,0 +1,17 @@
+import unittest 
+from src.my_project.interviews.top_150_questions_round_22\
+.ex_15_candy import Solution
+
+class CandyTestCase(unittest.TestCase):
+
+    def test_candy_first_case(self):
+        solution = Solution()
+        output = solution.candy(ratings = [1,0,2])
+        target = 5 
+        self.assertEqual(output, target)
+
+    def test_candy_second_case(self):
+        solution = Solution()
+        output = solution.candy(ratings = [1,2,2])
+        target = 4 
+        self.assertEqual(output, target)        

tests/test_150_questions_round_22/test_16_trapping_rain_water_round_22.py

@@ -0,0 +1,17 @@
+import unittest
+from src.my_project.interviews.top_150_questions_round_22\
+.ex_16_trapping_rain_water import Solution
+
+class TrappingWaterTestCase(unittest.TestCase):
+
+    def test_trapping_water_first_case(self):
+        solution = Solution()
+        output = solution.trap(height = [0,1,0,2,1,0,1,3,2,1,2,1])
+        target = 6
+        self.assertEqual(output, target)
+
+    def test_trapping_water_second_case(self):
+        solution = Solution()
+        output = solution.trap(height = [4,2,0,3,2,5])
+        target = 9
+        self.assertEqual(output, target)