Candy

To solve this coding challenge, we need to distribute candies to children based on their ratings while adhering to some constraints. The goal is to ensure each child gets at least one candy and children with higher ratings get more candies than their immediately adjacent neighbors. Here’s a detailed methodology for resolving this challenge:
# Explanation
  1. Initialization:
    • We initialize an array
      candies
      of the same length as
      ratings
      and fill it with 1s. This ensures that each child has at least one candy initially.
  2. Left-to-Right Pass:
    • We iterate over the
      ratings
      array from left to right. For each child, if their rating is higher than the rating of the previous child, we increment the number of candies for the current child based on the number of candies the previous child has. This process ensures that children with higher ratings get more candies than their left-side neighbors.
  3. Right-to-Left Pass:
    • We then iterate over the
      ratings
      array from right to left. For each child, if their rating is higher than the rating of the next child, we adjust the number of candies for the current child to ensure it's at least one more than what the next child has if needed. This process ensures the higher ratings have more candies than their right-side neighbors.
  4. Summing Up Candies:
    • Finally, we sum up all the values in the
      candies
      array to get the minimum number of candies needed to distribute according to the problem's constraints.
Detailed Steps in Pseudocode
Step 1: Initialize Candies Array
                                            
# Initialize candies array with all elements set to 1
candies = [1 for child in range(length of ratings)]

                                        
Step 2: First Pass (Left-to-Right)
                                            
# Iterate from the second child to the last child
for i from 1 to length of ratings - 1:
    if ratings[i] > ratings[i - 1]:
        # Increase candies for the current child
        candies[i] = candies[i - 1] + 1

                                        
Step 3: Second Pass (Right-to-Left)
                                            
# Iterate from the second to last child to the first child
for i from length of ratings - 2 to 0:
    if ratings[i] > ratings[i + 1]:
        # Adjust candies to ensure correct number
        candies[i] = max(candies[i], candies[i + 1] + 1)

                                        
Step 4: Calculate Total Candies
                                            
# Return the sum of the candies array
return sum(candies)

                                        
Full Pseudocode With Comments
                                            
# Step 1: Initialize candies array to ensure each child has at least one candy

candies = [1 for child in range(length of ratings)]

# Step 2: First Pass from left to right
for i from 1 to length of ratings - 1:
    # If current child's rating is higher than the previous child's rating
    if ratings[i] > ratings[i - 1]:
        # Give one more candy than the previous child
        candies[i] = candies[i - 1] + 1

# Step 3: Second Pass from right to left
for i from length of ratings - 2 to 0:
    # If current child's rating is higher than the next child's rating
    if ratings[i] > ratings[i + 1]:
        # Adjust candies to the maximum between current candies and next child's candies + 1
        candies[i] = max(candies[i], candies[i + 1] + 1)
        
# Step 4: Calculate and return the total number of candies needed
return sum(candies)

                                        
Each part of the pseudocode addresses specific problem requirements, ensuring that we allocate candies correctly based on the given rules. The comments within the pseudocode guide the reader through the logic step-by-step, ensuring clarity and comprehensiveness in the approach.