github.com/captn3m0/codechef.git

---
category_name: school
problem_code: SUMTRIAN
problem_name: 'Sums in a Triangle'
languages_supported:
    - ADA
    - ASM
    - BASH
    - BF
    - C
    - 'C99 strict'
    - CAML
    - CLOJ
    - CLPS
    - 'CPP 4.3.2'
    - 'CPP 4.9.2'
    - CPP14
    - CS2
    - D
    - ERL
    - FORT
    - FS
    - GO
    - HASK
    - ICK
    - ICON
    - JAVA
    - JS
    - 'LISP clisp'
    - 'LISP sbcl'
    - LUA
    - NEM
    - NICE
    - NODEJS
    - 'PAS fpc'
    - 'PAS gpc'
    - PERL
    - PHP
    - PIKE
    - PRLG
    - PYPY
    - PYTH
    - 'PYTH 3.4'
    - RUBY
    - SCALA
    - 'SCM chicken'
    - 'SCM guile'
    - 'SCM qobi'
    - ST
    - TCL
    - TEXT
    - WSPC
max_timelimit: '3'
source_sizelimit: '5000'
problem_author: admin
problem_tester: null
date_added: 1-12-2008
tags:
    - admin
time:
    view_start_date: 1235621211
    submit_start_date: 1235621211
    visible_start_date: 1235621211
    end_date: 1735669800
    current: 1492507641
layout: problem
---
All submissions for this problem are available.Let's consider a triangle of numbers in which a number appears in the first line, two numbers appear in the second line, three in the third 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 O and 99.

### 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

<pre>
<b>Input:</b>
2
3
1
2 1
1 2 3
4 
1 
1 2 
4 1 2
2 3 1 1 

<b>Output:</b>
5
9
</pre>
**Warning: large Input/Output data, be careful with certain languages**