SUMITR - Sums in a Triangle

Let us consider a triangle of numbers in which a number appears in the first line, two numbers appear in the second line etc. Develop a program which will compute the largest of the sums of numbers that appear on the paths starting from the top towards the base, so that:

  • on each path the next number is located on the row below, more precisely either directly below or below and one place to the right;
  • the number of rows is strictly positive, but less than 100;
  • all numbers are positive integers between 0 and 99.

Take care about your fingers, do not use more than 256 bytes of code.

Input

In the first line integer n - the number of test cases (equal to about 1000). Then n test cases follow. Each test case starts with the number of lines which is followed by their content.

Output

For each test case write the determined value in a separate line.

Example

Input:
2
3
1
2 1
1 2 3
4 
1 
1 2 
4 1 2
2 3 1 1 

Output:
5
9
Warning: large Input/Output data, be careful with certain languages

Added by:kuszi
Date:2004-12-01
Time limit:2s
Source limit:256B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:6-th International Olympiad In Informatics July 3-10. 1994. Stockholm - Sweden, Problem 1

hide comments
2015-08-26 17:32:06 Mohit Bindal
Bakwas...!!!
Waste of time...!!
try it on codechef instead
https://www.codechef.com/problems/SUMTRIAN
2015-06-23 19:25:45 Liquid_Science
Near to impossible in java :(
2015-06-20 12:43:30 SangKuan
250b,may be can smaller
2015-04-10 09:42:15 Abhay
My submission got accepted in challenge mode but I am getting WA here. Can someone help me?

Edit: It got accepted now. I got 3 WAs for the same answer and then it got accepted without any changes... -_-

Last edit: 2015-04-10 09:46:17
2015-04-04 12:12:30 Mottakin Chowdhury
খাইদাই কাম্নাই? -_______-
2015-03-12 10:09:23 Fz
what is their aim to set code size limit to 256B?
such a small size..
people end up in writing everything in the same line, is that they want? or there is really something else behind this ?
please explain this
2013-06-19 05:55:07 Mitch Schwartz
@Aniket Kumar: Try saving your C solution to a file; make sure there are no '\r' characters if you are on Windows; and use the "Browse..." button rather than copying and pasting into the edit box.

As for Python timing, I suppose Piotr Kąkol made his own test data as he didn't have access to Łukasz Kuszner's data, making the timings somewhat different.

Edit: Or, reading the comments, I think Piotr probably made his test data easier intentionally with respect to the time limit to encourage shorter solutions in slower languages.

Last edit: 2013-06-19 05:57:18
2013-06-18 17:46:59 Aniket Kumar
the same C code is giving 255 bytes in TRI_SUMS (challenge) but here it says too long solution ...
Similary the python code ID:9505617 runs in 0.16 sec on TRI_SUMS bt here I get TLE...
Somebody please explain to me !!!


Last edit: 2013-06-18 17:49:41
2013-03-10 18:08:18 Dominique VAILLANT
After removing more bytes my code is no more rejected.
I suppose SPOJ editor adds CR to LF...
(edit) You can try "choose a file" instead "insert code" : a difference is possible.
(edit) Thanks for the suggestion.

Last edit: 2013-03-11 02:19:13
2013-03-10 17:42:37 Dominique VAILLANT
My code is within the limit but I get an
error message:
'Your solution is too long for this problem, the limit is 256 bytes!'
Issuing: wc -c sumitr.rb
I get: 253 sumitr.rb
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