Caleb is now in Upper El^{1} and is currently tackling multiplication and division. He recently discovered squared numbers and was wondering the following:
Given a positive integer
n
, what is the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) which sum ton
.
For example, for the number 12
, he knows he can use three 4
s (which is
a perfect square) to add up to 12
.
Likewise, for the number 13
, he has determined that he can use 4
and
9
to sum up to 13
.
Caleb would like for you to write a program than determines what is the
least number of perfect squares required to sum up to any arbitrary
positive integer n
.
Each line of input will be a positive integer n
. You are to find the
least number of perfect square numbers that sum up to n
.
12
13
For each input number n
, print out the least number of perfect square
numbers that sum up to n
.
3
2
This is based on 279. Perfect Squares problem on the Leetcode.
To submit your work, follow the same procedure you used for Reading 00:
$ cd path/to/cse-30872-fa24-assignments # Go to assignments repository
$ git checkout master # Make sure we are on master
$ git pull --rebase # Pull any changes from GitHub
$ git checkout -b challenge22 # Create and checkout challenge22 branch
$ $EDITOR challenge22/program.cpp # Edit your code
$ git add challenge22/program.cpp # Stage your changes
$ git commit -m "challenge22: done" # Commit your changes
$ git push -u origin challenge22 # Send changes to GitHub
To check your code, you can use the .scripts/check.py
script or curl:
$ .scripts/check.py
Checking challenge22 code ...
Result Success
Time 0.03
Score 6.00 / 6.00
$ curl -F source=@challenge22/program.cpp https://dredd.h4x0r.space/code/cse-30872-fa24/challenge22
{"result": "Success", "score": 6, "time": 0.03212690353393555, "value": 6, "status": 0}
Once you have committed your work and pushed it to GitHub, remember to create a pull request and assign it to the appropriate teaching assistant from the Reading 11 TA List.
Okay, so this problem is a couple of years old. I'll update the story one day :]. ↩