Candy
Greedy Algorithms
Hard
Hard
A line of N kids is standing there. The rating values listed in the integer array ratings are assigned to each kid.
These kids are receiving candy, according to the following criteria:
1) There must be at least one candy for every child.
2) Kids whose scores are higher than their neighbours receive more candies than their neighbours.
Return the minimum number of candies needed to distribute among children.
Examples:
Input : ratings = [1, 0, 5]
Output : 5
Explanation : The distribution of candies will be 2 , 1 , 2 to first , second , third child respectively.
Input : ratings = [1, 2, 2]
Output : 4
Explanation : The distribution of candies will be 1 , 2 , 1 to first , second , third child respectively.
The third gets only 1 candy because it satisfy above two criteria.
Input : ratings = [1, 2, 1, 4, 5]
Constraints
- 1 <= n <= 104
- 1 <= ratings[i] <= 105
Hints
- Start by giving each child one candy to satisfy the first condition (at least one candy per child). Adjust the candy counts during the two passes to ensure the second condition is met.
- After both passes, the candy count for each child will reflect the minimum candies needed to satisfy the conditions. Sum these values to get the total number of candies required.
Company Tags
Docker
McKinsey & Company
DoorDash
Target
Zoho
Twilio
Stripe
Morgan Stanley
Bloomberg
GE Healthcare
Ubisoft
Uber
Walmart
Philips Healthcare
ARM
Salesforce
Zomato
Chewy
Bain & Company
Pinterest
Medtronic
Etsy
NVIDIA
Bungie
Cloudflare
Google
Microsoft
Amazon
Meta
Apple
Netflix
Adobe
Editorial
Intuition
First, scan the children from left to right, giving more candies to those with higher ratings than the child before them. Then, scan from right to left, ensuring children with higher ratings than the children after them also get more candies. The total number of candies needed is the sum of the maximum number of candies assigned from both directions for each child.Approach
- Start by creating two lists, both the same length as the ratings list, and fill them with 1s. One list will track the minimum candies needed when considering the children to the left, and the other will do the same for the children to the right.
- Move through the ratings from left to right, starting with the second child. For each child, compare their rating with the child immediately before them. If a child has a higher rating than the previous child, give them one more candy than the previous child.
- Now, move through the ratings from right to left, starting with the second-to-last child. For each child, compare their rating with the child immediately after them. If a child has a higher rating than the next child, give them one more candy than the next child.
- To find the total number of candies needed, look at each child and take the higher value between the two lists for each position. Sum these values to get the total number of candies required. This ensures each child gets the correct number of candies according to the rules.
Dry Run
Checking for the maximum from the left and right arrays and summing them up
Solution
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#include <bits/stdc++.h>
using namespace std;
class Solution {
public:
// To calculate number of candies
int candy(vector<int>& ratings) {
// Get number of children
int n = ratings.size();
// If no children, return 0
if (n == 0) return 0;
/*Initialize vectors to store candies
for each child from left and right*/
vector<int> left(n, 1);
vector<int> right(n, 1);
/*Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings*/
for (int i = 1; i < n; ++i) {
/*If the current child's rating is
higher than the previous one*/
if (ratings[i] > ratings[i - 1]) {
/*Give the current child one
more candy than the previous one*/
left[i] = left[i - 1] + 1;
}
}
/*Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings*/
for (int i = n - 2; i >= 0; --i) {
/* If the current child's rating is
higher than the next one*/
if (ratings[i] > ratings[i + 1]) {
/* Give the current child one
more candy than the next one*/
right[i] = right[i + 1] + 1;
}
}
/*Combine results
Calculate the total number of candies
needed by taking the maximum from
left and right for each child*/
int ans = 0;
for (int i = 0; i < n; ++i) {
/*Each child gets the maximum
candies from left and right*/
ans += max(left[i], right[i]);
}
// Return total
return ans;
}
};
int main() {
vector<int> ratings = {1, 0, 2};
Solution sol;
int result = sol.candy(ratings);
cout << "Minimum candies required: " << result << endl;
return 0;
}12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667
import java.util.*;
class Solution {
// To calculate number of candies
public int candy(int[] ratings) {
// Get number of children
int n = ratings.length;
// If no children, return 0
if (n == 0) return 0;
/*Initialize arrays to store candies
for each child from left and right*/
int[] left = new int[n];
int[] right = new int[n];
Arrays.fill(left, 1);
Arrays.fill(right, 1);
/*Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings*/
for (int i = 1; i < n; ++i) {
/*If the current child's rating is
higher than the previous one*/
if (ratings[i] > ratings[i - 1]) {
/*Give the current child one
more candy than the previous one*/
left[i] = left[i - 1] + 1;
}
}
/*Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings*/
for (int i = n - 2; i >= 0; --i) {
/*If the current child's rating is
higher than the next one*/
if (ratings[i] > ratings[i + 1]) {
/*Give the current child one
more candy than the next one*/
right[i] = right[i + 1] + 1;
}
}
/*Combine results
Calculate the total number of candies
needed by taking the maximum from
left and right for each child*/
int ans = 0;
for (int i = 0; i < n; ++i) {
/*Each child gets the maximum
candies from left and right*/
ans += Math.max(left[i], right[i]);
}
// Return total
return ans;
}
public static void main(String[] args) {
int[] ratings = {1, 0, 2};
Solution sol = new Solution();
int result = sol.candy(ratings);
System.out.println("Minimum candies required: " + result);
}
}
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455
class Solution:
# To calculate number of candies
def candy(self, ratings):
# Get number of children
n = len(ratings)
# If no children, return 0
if n == 0:
return 0
# Initialize lists to store candies
# for each child from left and right
left = [1] * n
right = [1] * n
# Left to right pass
# Traverse the ratings from left to right
# to adjust candies based on ratings
for i in range(1, n):
# If the current child's rating is
# higher than the previous one
if ratings[i] > ratings[i - 1]:
# Give the current child one
# more candy than the previous one
left[i] = left[i - 1] + 1
# Right to left pass
# Traverse the ratings from right to left
# to adjust candies based on ratings
for i in range(n - 2, -1, -1):
# If the current child's rating is
# higher than the next one
if ratings[i] > ratings[i + 1]:
# Give the current child one
# more candy than the next one
right[i] = right[i + 1] + 1
# Combine results
# Calculate the total number of candies
# needed by taking the maximum from
# left and right for each child
ans = 0
for i in range(n):
# Each child gets the maximum
# candies from left and right
ans += max(left[i], right[i])
# Return total
return ans
if __name__ == "__main__":
ratings = [1, 0, 2]
sol = Solution()
result = sol.candy(ratings)
print("Minimum candies required:", result)
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class Solution {
// To calculate number of candies
candy(ratings) {
// Get number of children
const n = ratings.length;
// If no children, return 0
if (n === 0) return 0;
/*Initialize arrays to store candies
for each child from left and right*/
const left = new Array(n).fill(1);
const right = new Array(n).fill(1);
/*Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings*/
for (let i = 1; i < n; ++i) {
/*If the current child's rating is
higher than the previous one*/
if (ratings[i] > ratings[i - 1]) {
/*Give the current child one
more candy than the previous one*/
left[i] = left[i - 1] + 1;
}
}
/*Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings*/
for (let i = n - 2; i >= 0; --i) {
/*If the current child's rating is
higher than the next one*/
if (ratings[i] > ratings[i + 1]) {
/*Give the current child one
more candy than the next one*/
right[i] = right[i + 1] + 1;
}
}
/*Combine results
Calculate the total number of candies
needed by taking the maximum from
left and right for each child*/
let ans = 0;
for (let i = 0; i < n; ++i) {
/*Each child gets the maximum
candies from left and right*/
ans += Math.max(left[i], right[i]);
}
// Return total
return ans;
}
}
const ratings = [1, 0, 2];
const sol = new Solution();
const result = sol.candy(ratings);
console.log("Minimum candies required:", result);
Complexity Analysis
Time Complexity: O(3N) where N is the number of children. We make a left-to-right pass, a right-to-left pass and a last pass to combine the results.Space Complexity: O(2N) where N is the number of children. We create two additional arrays left and right to keep track of the minimum number of candies when considering left and right neighbours.
Intuition:
As, we need to consider both the left and right neighbours, what we can do is take a 'left' array and store the minimum number of candies for each child based on the ratings of left neighbours. Now for the candies based on the rating of right neighbour, we can take take a 'right' variable which will keep track of the candies that the right neighbour own. Thus in each iteration we will have number of candies of both the left and right neighbours, using both of them we can calculate 'cur' and add it to the answer.
Approach:
- Start by creating a list, of the same length as the ratings list, and fill them with 1s. The list will track the minimum candies needed when considering the children to the left.
- Move through the ratings from left to right, starting with the second child. For each child, compare their rating with the child immediately before them. If a child has a higher rating than the previous child, give them one more candy than the previous child.
- Take two variables: 'cur' to show the number of candies of the current child and 'right' to keep track of the number of candies that the right neighbour own.
- Now, move through the ratings from right to left, starting with the second-to-last child. For each child, compare their rating with the child immediately after them. If a child has a higher rating than the next child, give them one more candy than the next child.
- To find the total number of candies needed, look at each child and take the higher value between the 'cur' and 'left' lists for each position. For the next iteration assign the 'cur' value to the 'right'.
- Sum these values to get the total number of candies required. This ensures each child gets the correct number of candies according to the rules.
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#include <bits/stdc++.h>
using namespace std;
class Solution {
public:
// To calculate number of candies
int candy(vector<int>& ratings) {
// Get number of children
int n = ratings.size();
// If no children, return 0
if (n == 0) return 0;
/*Initialize vectors to store candies
for each child from left and right*/
vector<int> left(n, 1);
/*Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings*/
for (int i = 1; i < n; ++i) {
/*If the current child's rating is
higher than the previous one*/
if (ratings[i] > ratings[i - 1]) {
/*Give the current child one
more candy than the previous one*/
left[i] = left[i - 1] + 1;
}
}
int cur = 1;
int right = 1;
int sum = max(1, left[n-1]);
/*Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings*/
for (int i = n - 2; i >= 0; --i) {
/* If the current child's rating is
higher than the next one*/
if (ratings[i] > ratings[i + 1]) {
/* Give the current child one
more candy than the next one*/
cur = right + 1;
}
else{
cur = 1;
}
right = cur;
sum = sum + max(left[i], cur);
}
// Return total
return sum;
}
};
int main() {
vector<int> ratings = {1, 0, 2};
Solution sol;
int result = sol.candy(ratings);
cout << "Minimum candies required: " << result << endl;
return 0;
}123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263
import java.util.*;
public class Solution {
// To calculate number of candies
public int candy(int[] ratings) {
// Get number of children
int n = ratings.length;
// If no children, return 0
if (n == 0) return 0;
/*Initialize vectors to store candies
for each child from left and right*/
int[] left = new int[n];
Arrays.fill(left, 1);
/*Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings*/
for (int i = 1; i < n; ++i) {
/*If the current child's rating is
higher than the previous one*/
if (ratings[i] > ratings[i - 1]) {
/*Give the current child one
more candy than the previous one*/
left[i] = left[i - 1] + 1;
}
}
int cur = 1;
int right = 1;
int sum = Math.max(1, left[n-1]);
/*Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings*/
for (int i = n - 2; i >= 0; --i) {
/* If the current child's rating is
higher than the next one*/
if (ratings[i] > ratings[i + 1]) {
/* Give the current child one
more candy than the next one*/
cur = right + 1;
}
else{
cur = 1;
}
right = cur;
sum = sum + Math.max(left[i], cur);
}
// Return total
return sum;
}
public static void main(String[] args) {
Solution sol = new Solution();
int[] ratings = {1, 0, 2};
//Creating an instance of Solution class
int result = sol.candy(ratings);
System.out.println("Minimum candies required: " + result);
}
}
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class Solution:
# To calculate number of candies
def candy(self, ratings):
# Get number of children
n = len(ratings)
# If no children, return 0
if n == 0:
return 0
""" Initialize vectors to store candies
for each child from left and right"""
left = [1] * n
# Left to right pass
for i in range(1, n):
""" If the current child's rating
is higher than the previous one"""
if ratings[i] > ratings[i - 1]:
""" Give the current child one
more candy than the previous one"""
left[i] = left[i - 1] + 1
cur = 1
right = 1
sum_candies = max(1, left[n - 1])
# Right to left pass
for i in range(n - 2, -1, -1):
""" If the current child's rating
is higher than the next one"""
if ratings[i] > ratings[i + 1]:
""" Give the current child one
more candy than the next one"""
cur = right + 1
else:
cur = 1
right = cur
sum_candies += max(left[i], cur)
# Return total
return sum_candies
if __name__ == "__main__":
sol = Solution()
ratings = [1, 0, 2]
result = sol.candy(ratings)
print(f"Minimum candies required: {result}")
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455
class Solution {
// To calculate number of candies
candy(ratings) {
// Get number of children
let n = ratings.length;
// If no children, return 0
if (n === 0) return 0;
/* Initialize arrays to store candies
for each child from left and right */
let left = new Array(n).fill(1);
/* Left to right pass
Traverse the ratings from left to right
to adjust candies based on ratings */
for (let i = 1; i < n; ++i) {
/* If the current child's rating is
higher than the previous one */
if (ratings[i] > ratings[i - 1]) {
/* Give the current child one
more candy than the previous one */
left[i] = left[i - 1] + 1;
}
}
let cur = 1;
let right = 1;
let sum = Math.max(1, left[n - 1]);
/* Right to left pass
Traverse the ratings from right to left
to adjust candies based on ratings */
for (let i = n - 2; i >= 0; --i) {
/* If the current child's rating is
higher than the next one */
if (ratings[i] > ratings[i + 1]) {
/* Give the current child one
more candy than the next one */
cur = right + 1;
} else {
cur = 1;
}
right = cur;
sum += Math.max(left[i], cur);
}
// Return total
return sum;
}
}
const sol = new Solution();
const ratings = [1, 0, 2];
const result = sol.candy(ratings);
console.log("Minimum candies required: " + result);
Complexity Analysis
Time Complexity: O(2N) where N is the number of children. We make a left-to-right pass and in the next pass we are calculating the sum and the candies for left-to-right pass together.Space Complexity: O(N) where N is the number of children. We create only one additional array 'left' to keep track of the minimum number of candies when considering left neighbours.
Intuition
Instead of iterating over the rating array three times, the Greedy Approach optimizes it by handling the ratings in a single pass. The trend of the ratings is tracked as the array is traversed: increasing trends result in more candies for higher ratings, and decreasing trends ensure proper distribution for lower ratings. By balancing these trends, children with higher ratings receive more candies, achieving optimal and minimal candy distribution.Approach
- Start by initializing the total number of candies to 1 and set the current slope to stable.
- Begin iterating through the ratings array from the second child to the last.
- If the current child's rating is equal to the previous one, give the current child one more candy than the previous child and move to the next child.
- If the ratings are not equal, identify an increasing trend. Assign more candies to each child in this trend, incrementing as the ratings increase.
- After the increasing trend, identify a decreasing trend. Assign more candies to each child in this trend, incrementing as the ratings decrease.
- Compare the candy counts from the increasing and decreasing trends. If the decreasing trend exceeds the peak from the increasing trend, adjust the total number of candies to ensure children with higher ratings get more candies than their neighbors.
- After processing all children, return the total number of candies distributed.
Dry Run
Calculating candies according to the trend
Solution
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#include <bits/stdc++.h>
using namespace std;
class Solution {
public:
// To calculate the number of candies
int candy(vector<int>& ratings) {
// Size of the ratings array
int n = ratings.size();
// Initialize index variable
int i = 1;
/*Initialize the total number of candies,
starting with one candy for the first child*/
int sum = 1;
// Loop the ratings array
while (i < n) {
/*Check if the current child's rating
is equal to the previous one*/
if (ratings[i] == ratings[i - 1]) {
/* If so, give the current child one
more candy than the previous one*/
sum = sum + 1;
/* Move to the next child*/
i++;
/*Skip the rest of the loop and
move to the next iteration*/
continue;
}
/* Initialize the candy count
for increasing rating trend*/
int peak = 1;
// Loop through increasing ratings trend
while (i < n && ratings[i] > ratings[i - 1]) {
/*Increment candy count
for increasing trend*/
peak += 1;
/*Update the total
number of candies*/
sum += peak;
// Move to next
i++;
}
/*Initialize the candy count
for decreasing rating trend*/
int down = 1;
// Loop through decreasing ratings trend
while (i < n && ratings[i] < ratings[i - 1]) {
/*Update the total number of
candies for decreasing trend*/
sum += down;
// Move to next
i++;
/*Increment the candy
count for decreasing trend*/
down++;
}
/*Check if the candy count for
decreasing trend exceeds the peak*/
if (down > peak) {
/*Adjust the total number of
candies to satisfy the condition*/
sum += (down - peak);
}
}
// Return total candies
return sum;
}
};
int main() {
vector<int> ratings = {0, 2, 4, 3, 2, 1, 1, 3, 4, 6, 4, 0, 0};
cout << "Ratings of Children: ";
for(int i = 0; i < ratings.size(); i++){
cout << ratings[i] << " ";
}
cout << endl;
Solution sol;
int result = sol.candy(ratings);
cout << "Minimum number of candies needed: " << result << endl;
return 0;
}
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import java.util.*;
class Solution {
// To calculate the number of candies
public int candy(int[] ratings) {
// Size of the ratings array
int n = ratings.length;
// Initialize index variable
int i = 1;
/*Initialize the total number of candies,
starting with one candy for the first child*/
int sum = 1;
// Loop the ratings array
while (i < n) {
/*Check if the current child's rating
is equal to the previous one*/
if (ratings[i] == ratings[i - 1]) {
/* If so, give the current child one
more candy than the previous one*/
sum = sum + 1;
/* Move to the next child*/
i++;
/*Skip the rest of the loop and
move to the next iteration*/
continue;
}
/* Initialize the candy count
for increasing rating trend*/
int peak = 1;
// Loop through increasing ratings trend
while (i < n && ratings[i] > ratings[i - 1]) {
/*Increment candy count
for increasing trend*/
peak += 1;
/*Update the total
number of candies*/
sum += peak;
// Move to next
i++;
}
/*Initialize the candy count
for decreasing rating trend*/
int down = 1;
// Loop through decreasing ratings trend
while (i < n && ratings[i] < ratings[i - 1]) {
/*Update the total number of
candies for decreasing trend*/
sum += down;
// Move to next
i++;
/*Increment the candy
count for decreasing trend*/
down++;
}
/*Check if the candy count for
decreasing trend exceeds the peak*/
if (down > peak) {
/*Adjust the total number of
candies to satisfy the condition*/
sum += (down - peak);
}
}
// Return total candies
return sum;
}
public static void main(String[] args) {
int[] ratings = {0, 2, 4, 3, 2, 1, 1, 3, 4, 6, 4, 0, 0};
System.out.print("Ratings of Children: ");
for(int rating : ratings){
System.out.print(rating + " ");
}
System.out.println();
Solution sol = new Solution();
int result = sol.candy(ratings);
System.out.println("Minimum number of candies needed: " + result);
}
}
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class Solution:
# To calculate the number of candies
def candy(self, ratings):
# Size of the ratings array
n = len(ratings)
# Initialize index variable
i = 1
'''Initialize the total number of candies,
starting with one candy for the first child'''
sum = 1
# Loop the ratings array
while i < n:
'''Check if the current child's rating
is equal to the previous one'''
if ratings[i] == ratings[i - 1]:
'''If so, give the current child one
more candy than the previous one'''
sum += 1
'''Move to the next child'''
i += 1
'''Skip the rest of the loop and
move to the next iteration'''
continue
'''Initialize the candy count
for increasing rating trend'''
peak = 1
# Loop through increasing ratings trend
while i < n and ratings[i] > ratings[i - 1]:
'''Increment candy count
for increasing trend'''
peak += 1
'''Update the total
number of candies'''
sum += peak
# Move to next
i += 1
'''Initialize the candy count
for decreasing rating trend'''
down = 1
# Loop through decreasing ratings trend
while i < n and ratings[i] < ratings[i - 1]:
'''Update the total number of
candies for decreasing trend'''
sum += down
# Move to next
i += 1
'''Increment the candy
count for decreasing trend'''
down += 1
'''Check if the candy count for
decreasing trend exceeds the peak'''
if down > peak:
'''Adjust the total number of
candies to satisfy the condition'''
sum += (down - peak)
# Return total candies
return sum
if __name__ == "__main__":
ratings = [0, 2, 4, 3, 2, 1, 1, 3, 4, 6, 4, 0, 0]
print("Ratings of Children: ", ratings)
sol = Solution()
result = sol.candy(ratings)
print("Minimum number of candies needed:", result)
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class Solution {
// To calculate the number of candies
candy(ratings) {
// Size of the ratings array
const n = ratings.length;
// Initialize index variable
let i = 1;
/*Initialize the total number of candies,
starting with one candy for the first child*/
let sum = 1;
// Loop the ratings array
while (i < n) {
/*Check if the current child's rating
is equal to the previous one*/
if (ratings[i] === ratings[i - 1]) {
/* If so, give the current child one
more candy than the previous one*/
sum += 1;
/* Move to the next child*/
i++;
/*Skip the rest of the loop and
move to the next iteration*/
continue;
}
/* Initialize the candy count
for increasing rating trend*/
let peak = 1;
// Loop through increasing ratings trend
while (i < n && ratings[i] > ratings[i - 1]) {
/*Increment candy count
for increasing trend*/
peak += 1;
/*Update the total
number of candies*/
sum += peak;
// Move to next
i++;
}
/*Initialize the candy count
for decreasing rating trend*/
let down = 1;
// Loop through decreasing ratings trend
while (i < n && ratings[i] < ratings[i - 1]) {
/*Update the total number of
candies for decreasing trend*/
sum += down;
// Move to next
i++;
/*Increment the candy
count for decreasing trend*/
down++;
}
/*Check if the candy count for
decreasing trend exceeds the peak*/
if (down > peak) {
/*Adjust the total number of
candies to satisfy the condition*/
sum += (down - peak);
}
}
// Return total candies
return sum;
}
}
const ratings = [0, 2, 4, 3, 2, 1, 1, 3, 4, 6, 4, 0, 0];
console.log("Ratings of Children: ", ratings);
const sol = new Solution();
const result = sol.candy(ratings);
console.log("Minimum number of candies needed: ", result);
Complexity Analysis
Time Complexity: O(N) where N is the number of children in the line. The algorithm makes a single pass through the rating array, processing each child a fixed number of times. Each child is evaluated once during the main loop, and at most once more during the increasing and decreasing sequences. Space Complexity: O(1) as the algorithm uses no extra space.Frequently Occurring Doubts
Q: What happens if multiple kids have the same rating?
A: If two kids have the same rating, they don’t need more candies than each other. Both can have the same number of candies, and no extra adjustments are needed.
Q: What if all kids have the same rating?
A: If all kids have the same rating, give each child exactly one candy. The total number of candies needed will be equal to the number of children.
Interview Followup Questions
Q: What if the ratings are very large?
A: The ratings do not directly affect the time or space complexity, as the algorithm only compares relative values and doesn’t perform any operations based on the magnitude of the ratings.
Q: How would you handle cases where multiple constraints are applied (e.g., candies must also be within a budget)?
A: Combine the current solution with a dynamic programming or optimization approach to satisfy additional constraints like budgets or candy limits.
Notes
Code
✅ Testcase
Input: {'nums': '[1, 0, 5]'}
Expected:
5
5
Actual: -
Time: -
sec
Status: Waiting
Input: {'nums': '[1, 2, 2]'}
Expected:
4
4
Actual: -
Time: -
sec
Status: Waiting
Input: {'nums': '[8, 2, 5, 1]'}
Expected:
6
6
Actual: -
Time: -
sec
Status: Waiting
Facts
- • This problem models situations involving resource allocation, fairness, and data comparison in real-world applications, such as employee incentives, traffic shaping in network engineering, and grading systems in education platforms
- • For example, in a rating-based rewards system in HR software, a similar algorithm could be used to decide how much bonus to give to each employee based on their performance ratings, ensuring everyone gets a bonus and those with higher ratings get more