Monthly Archives: April 2016

Google Code Jam 2016. Problem D – Fractals.

Google Code Jam 2016 – solution to problem D: Fractiles.

This is problem to get 10 points for free.
Small part is very easy.

Problem text.

Problem 4 - Fractals.
If S = K this means that we can use K positions to test if there is gold.
We will use all of them.

Let’s assume there is gold in 1st position of original sequence.
Then 1st position of final sequence will be gold too – this is very easy to understand.

So we choose 1.

If there is no gold at 1st position – it means that first K numbers in final sequence are the same as in original.
So small solution which wirks for all inputs:

1 2 3 4 … K

To solve large input next idea becomes a solution:

Let’s imagine some start sequence and end sequence which has complexity C=2.
How we can clean 1 tile and check if 2 origina tiles contain gold or not?

Here is image which explains which tile we need to check to verify tiles 1 and 2 in original sequence.

Tiles - Complexity = 2

This easily becomes feasible idea for solution Рfor complexity C Рeach additional level allows us to check +1 original tile by cleaning corresponding tile in corresponding position.

Minimum number of tiles which are required is floor(K / C)


How to configure Presto/Hive/HDFS on Mac

It is quite a pain to setup everything.
Here are some links which helped me significantly:


Use java 1.7 with newest hadoop/hdfs/hive 2.0.0

To create metastore – go to $HIVE_HOME/bin and run:

schematool -initSchema -dbType derby

Derby is java in-memory database. This option will not allow you to run simultaneously Hive metastore (required for Presto) and Hive itself and so consider using mysql for metastore.

Then install presto going through instructions on

So to use presto – you need to shutdown Hive CLI and start metastore service from same directory where your derby is being set with schematool. To start metastore:

hive --service metastore

To check which components of Hive/HDFS are running on machine, run:


To start datanode:

hdfs datanode

Create 2 aliases in ~/.bashrc to start/stop hadoop/hdfs:

alias hstart="/usr/local/Cellar/hadoop/2.7.1/sbin/;/usr/local/Cellar/hadoop/2.7.1/sbin/"
alias hstop="/usr/local/Cellar/hadoop/2.7.1/sbin/;/usr/local/Cellar/hadoop/2.7.1/sbin/"