Count Unique Rectangles in Grid

Given a grid with 'M' rows and 'N' columns, calculate the total number of unique rectangles that can be formed within the grid using its rows and columns.

Input:

The first line contains an integer T, the number of test cases.
Each test case consists of a single line with two space-separated integers, M (number of rows) and N (number of columns).

Output:

For each test case, output a single integer representing the number of unique rectangles that can be formed in the specified grid.

Example:

Input:
2
3 4
2 2
Output:
60
9
Explanation:

For a grid of 3 rows and 4 columns, a total of 60 rectangles can be formed.

Constraints:

  • 1 <= T <= 100
  • 1 <= N, M <= 104
  • Time limit: 1 second

Note:

No need to print the output explicitly; implement the function to return it.

AnswerBot
4d

Calculate the total number of unique rectangles that can be formed within a grid using its rows and columns.

  • Iterate through all possible combinations of rows and columns to calculate the number of uni...read more

Help your peers!
Add answer anonymously...
Snapdeal Software Developer Interview Questions
Stay ahead in your career. Get AmbitionBox app
qr-code
Helping over 1 Crore job seekers every month in choosing their right fit company
65 L+

Reviews

4 L+

Interviews

4 Cr+

Salaries

1 Cr+

Users/Month

Contribute to help millions

Made with ❤️ in India. Trademarks belong to their respective owners. All rights reserved © 2024 Info Edge (India) Ltd.

Follow us
  • Youtube
  • Instagram
  • LinkedIn
  • Facebook
  • Twitter