CCC 2003 Stage1: J2: Picture Perfect
Author 
Message 
Tony

Posted: Sat Mar 22, 2003 12:51 pm Post subject: CCC 2003 Stage1: J2: Picture Perfect 


Roy has a stack of student yearbook photos. He wants to lay the pictures on a flat sufrace edgetoedge to form a filled rectangle with minimum perimeter. All photos must by fully visible. Each picture is a square with dimentions 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
ofcourse, he could orient them in the other direction, such as
XXX
XXX
XXX
XXX
which would have teh same perimeter, 14 units.
Your problem should be interactive. It 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 alla the pictures edgetoedge. Also print the dimensions of this rectangle.
You may assuem that there are less than 65,000 photos. An input value of C=0 indicated that the program should terminate.
Sample Session
Enter number of pictures:
100
Minumum perimeter is 40 with dimensions 10x10
Enter number of pictures:
15
Minumum perimeter is 16 with dimensions of 3x5
Enter number of pictures:
195
Minumun perimeter is 56 with dimensions 13x15
Enter number of pictures:
0
Solution by JSBN
code: 
%LARGER AMOUNTS OF PICTURES WILL REQUIRE MORE TIME FOR CALCULATION
var C : int
var z : int
var t2 : int
var d1 : int
var d2 : int
loop
put "Enter number of pictures"
get C
t2 := 65000
exit when C = 0
for i1 : 1 .. C
for i2 : 1 .. C
z := i1 * i2
if z = C then
if (i1 + i2) * 2 <= t2 then
t2 := (i1 + i2) * 2
d1 := i1
d2 := i2
exit
end if
end if
end for
end for
put "Minimum Perimeter is ", t2, " with the dimensions ", d1, " X ", d2
put ""
end loop

I wish he would comment his solutions basically two loops run through every possible rectangle size and just keeps track of the smallest perimeter it finds. Simple and easy. 
Tony's programming blog. DWITE  a programming contest. 




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Dan

Posted: Sat Mar 22, 2003 12:59 pm Post subject: (No subject) 


i whode like to know how you whode do this if 64,999 is entred as a number. becuse that was one of the test values for the test. i lost a few points becuse my progame did not finsh in time. 
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Tony

Posted: Sat Mar 22, 2003 1:21 pm Post subject: (No subject) 


rofl, If you would run my substring (S4) for those half a million char values... it would take a day for a single set... fortunatly (well for the teacher, not me) the program didnt execute over 65K solutions so it worked for 3/5 cases taking just few minutes each.
Edit: Doesnt answer your question, but something nice to know... the thing was inpossible in turing anyway as input for 4/5 cases was over 256 chars in length 
Tony's programming blog. DWITE  a programming contest. 




octopi

Posted: Sat Mar 22, 2003 3:49 pm Post subject: (No subject) 


Dan the number was acctually different, it wasn't 64999, it was a prime number 63907 I think it was. Anyways, as we know prime numbers only have 1, and themselves as factors. So it was kind of cheap of them to do that, I can't see many people passing that, unless there teachers let it run for days.
Any one else have any ideas on how to speed that one up? 





Office of the Registar

Posted: Fri Apr 25, 2003 9:10 am Post subject: (No subject) 


i think i have that was pretty short
let me look for it... 






