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DIFFSUMS - Different sums

Wejście

Wejście składa się z nieokreślonej liczby testów. Każdy z nich stanowi linię z jedną liczbą naturalną x (0<=x<25). Wejście kończy się gdy x=0 (dla tej wartości nie powinieneś nic wypisywać).

Wyjście

Dla każdego testu powinieneś wypisać wszystkie możliwe niemalejące ciągi liczb naturalnych (mogących pojawić się więcej niż jeden raz), których zsumowane elementy są równe x. W każdym ciągu i-ta liczba powinna być większa lub równa poprzedzającej ją liczbie. Ciągi powinny być również posortowane rosnąco.

Przykład

Wejście:
1
2
3
4
5
0 Wyjście: 1
1 1
2
1 1 1
1 2
3
1 1 1 1
1 1 2
1 3
2 2
4
1 1 1 1 1
1 1 1 2
1 1 3
1 2 2
1 4
2 3
5

Specjalne podziękowania dla Łukasza Kusznera za pomysł na zadanie.


Added by:Piotr Kąkol
Date:2011-06-18
Time limit:1.666s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: SCM qobi

hide comments
2011-06-22 11:47:41 HWK
@C: Bye-bye :-)
2011-06-21 19:48:49 Piotr KÄ…kol
@HWK - Hmm. As I said, I don't know what hint to give. If You knew what's the trick You would agree with me that it's difficult to describe it.
I can say that it's not connected with the algorithm AT ALL. ;-)
But still, You may shorten Your algo as well. ;-)
I knew You'll reach these 121 chars in Pyth. :-)
We'll see how short will be numerix's and hallvabo's codes. ;->
2011-06-21 18:24:39 HWK
@Piotr: I feared that because you shortened to 123 without removing the =.
My remaining ideas don't work at the moment. So what about a little hint? ;-)
Meanwhile I'll look at Python. :-)

Edit: Python ahead C again.

Last edit: 2011-06-21 18:32:35
2011-06-21 11:49:41 Piotr KÄ…kol
@HWK - Once again, great job. :-)
Sorry for making You mad but I removed the one byte again.
One more and again Python will be beaten (unless You shorten it with another byte). :-)

Last edit: 2011-06-21 11:56:51
2011-06-21 10:52:30 HWK
@Piotr: Always the same - after sleeping a night the solution is so obvious.
As you'll see there are two variants. Perhaps you could get new ideas from them.
By the way: I removed the <=. :-)


Last edit: 2011-06-21 10:53:13
2011-06-20 21:25:22 Piotr KÄ…kol
@HWK - No, but You can try to remove bytes wherever You want. ;-)
2011-06-20 19:04:16 HWK
Sometimes sleeping a night helps. So let's see.
By the way: My C solution helped advancing the Python one.

Edit: Oh, you shortened another byte. Have you removed the <=?

Last edit: 2011-06-20 19:35:24
2011-06-20 19:02:32 Piotr KÄ…kol
@HWK - Agree, nice duet. :-)
But why it's enuogh? :-(
We still have to reach 11^2 to beat Your Python solution. ;-)
2011-06-20 18:55:46 HWK
@Piotr: Okay, 124 bytes too. I think that's enough shortening for C. :-)
Looks like we're a good team for shortening. Challenging one another. ;-)


Last edit: 2011-06-20 19:04:31
2011-06-20 18:38:20 Piotr KÄ…kol
@HWK - 122 chars. Nice. :-) I have no idea how to shorten "my" :P code. Maybe You'll find another trick trying to remove one more.
And yes, Your reading is now perfect. :-)
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