CCC '03 J2 - Picture Perfect

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Points: 3 (partial)
Time limit: 2.0s
Memory limit: 64M

Problem type
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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.


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


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


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


  • -11
    KevinYangJ8  commented on April 17, 2020, 6:46 p.m. edited

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  • -3
    Davy_Chu  commented on April 10, 2020, 5:37 p.m.

    Can someone check why my code does not work? I have tried all the test cases and it seems to run fine on for me. Thanks.

    • -1
      Xyene  commented on April 10, 2020, 10:07 p.m.


  • -1
    sobko  commented on April 3, 2019, 7:36 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