CCC '03 J2 - Picture Perfect

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Points: 3 (partial)
Time limit: 2.0s
Memory limit: 256M
Problem type
Canadian Computing Competition: 2003 Stage 1, Junior #2

Roy has a stack of student yearbook photos. He wants to lay the pictures on a flat surface edge-to-edge to form a filled rectangle with minimum perimeter. All photos must be fully visible. Each picture is a square with dimensions 1 unit by 1 unit.

For example, he would place 12 photos in the following configuration, where each photo is indicated with an X.

XXXX
XXXX
XXXX

Of course, he could orient them in the other direction, such as

XXX
XXX
XXX
XXX

which would have the same perimeter, 14 units.

Your program should repeatedly read a positive integer C, the number of pictures to be laid out. For each input, it should print the smallest possible perimeter for a filled rectangle that is formed by laying all the pictures edge-to-edge. Also print the dimensions of this rectangle.

You may assume that there are less than 65\,000 photos. An input value of C = 0 indicates that the program should terminate.

Sample Input

100
15
195
0

Sample Output

Minimum perimeter is 40 with dimensions 10 x 10
Minimum perimeter is 16 with dimensions 3 x 5
Minimum perimeter is 56 with dimensions 13 x 15

Comments


  • 3
    BULLET999  commented on Sept. 2, 2024, 3:55 a.m.

    If you're getting 40/100 and it's accepted then your program is on the right track but might not be checking all possible pairs of the rectangles width and length.


  • -4
    Berton  commented on Sept. 6, 2022, 5:56 p.m.

    What is the test case?? On the first line I got

    Minimum perimeter is 32 with dimensions 10 x 6

    Isn't it correct (for 60)?


    • 3
      Random_User1111  commented on Oct. 7, 2022, 8:12 p.m.

      Try switching the 10 and 6 i.e. Minimum perimeter is 32 with dimensions 6 x 10


  • -3
    sobko  commented on April 3, 2019, 11:36 p.m. ← edited

    I only seem to be getting 80/100 with only one test case even though it appears to meet all the requirements? Anybody got any ideas?

    Edit: Nvm my code did not work for when there was only 1 picture


    • -2
      Misaka  commented on Oct. 6, 2022, 4:22 a.m.

      Thanks!!