How to draw hexagon maps

I've been having a lot of fun playing Warlock - Master of the Arcane. The game is absolutely fantastic and very underrated. It's also about a billion times more interesting and addictive than Civilization 5 (unless a fantasy setting really isn't your thing).

Playing Warlock though gave me a desire to make my own 3D Hexagon-based game. I decided to start out by making a map editor to draw the hexagon maps, and its development has forced me learn a lot of new things about hexagons and how to draw them.

1. Drawing Hexagons

There's many great articles out there on the internet about hexagons. The two I found most helpful are here and here. Although these pointed me in the right direction at times, I eventually had to solve it mostly on my own by treating the hexagons like overlapping squares.

This technique has the advantage of keeping the simple coordinate system of a square map, which I find highly desirable. This also means that hexagon map coordinates look like normal square map coordinates when saved.

I'll begin by showing the basic concept before moving on to the maths behind this. Look at this simple square map here.

Now if we were to convert the squares directly into hexagons, it'd look something like this:

Keeping in mind that our hexagons are positioned like squares, the squares would look like this:

Unfortunately, the hexagons are positioned like they're squares. This isn't how a hexagon map should look like, but it's easily fixed. If we shift the bottom row slightly to the right, and then shift the bottom row slightly upwards then the hexagons line up nicely.

Now let's shift that bottom row to the right, and then upwards. The result will be something like this:

You've probably noticed that the overlapping squares form some interesting right angled triangles. Look closer and you'll notice that the opposite side of the triangle is exactly the length of the top left line of the hexagon, and that the bottom right corner of the triangle (where the 90 degree angle is) is also dead in the center between the two squares above it.

These pictures have hopefully shown you exactly how much the bottom row needs to be shifted in order to snap into place with the row above it. To summarise:

1. Shift the bottom row to the right by exactly 50% of the width of a square.
2. Shift the bottom row upwards by the length of the triangle's opposite side (you can figure this out by constructing a right angled triangle whose opposite side is the length of a side of your hexagon).

One final thing to mention is that every second row should be shifted like this, so you can test if the X coordinate of the tile is odd, and if it is, then shift the tile.

2. Saving a hexagon map

As mentioned above, saving a map like this is very easy. Simply save it as you would any square tiled map.

3. Result

I'm fairly certain that's all there is to mention regarding hexagon maps. To perform calculations such as figuring out if a user is clicking on a hexagon, you can again use the boxes to determine which tile is being clicked.

Here's a screenshot from my 3D map editor (which is nearly finished). It positions 3D hexagons like I've described in this post.

Tile "layers" for the Mapeditor

I'd been wondering about a problem for a while now, and didn't quite know how to solve it. Luckily Alycthul gave me an idea: layers.

What I've now done is modified the map format to allow for a tile to have an 'occupant'. An occupant is a tile that sits on top of another tile - forming a type of layer. For the sake of comparison here's a saved tile from both the old and the new formats:

Old
  x,y=id;
  0,0=1;

New
  x,y=id,occupant_id:tile_space_occupied;
  0,0=1,1301:1;

As you will know if you read my previous map editor posts the 0,0 represents a tile's coordinate and the 1 is the tile's ID. In the new format this is still here, but there's now a comma and then an additional value (1301 here). This is the occupant. The third value is the occupying space. I'm not entirely sure how to implement this yet, but it basically means how many tiles the occupant stretches over (in the case of a building or larger in-game unit). Currently this doesn't work and so all occupant sizes are treated as 1.

Tile occupants will typically be buildings, units or resources. This allows a unit or building to be placed as an occupant onto any sort of tile. Here's a screenshot of this in action:

As you can see here the crystals and train tracks are occupants of the other tiles. If you have any suggestions or questions feel free to leave a comment.

Minimaps

This weekend was like any other. I spent it doing some programming. Along with fixing a plethora of little bugs in my map editor I decided to create a minimap for it. As you can see here in the picture below, we have a minimap (and a very nice Martian landscape):

To get a minimap to work you have to translate the mini coordinates into big coordinates. That way you can scroll to where the user clicks. The method I used is this:

real_map_coord = mini_map_coord * ( real_map_size / mini_map_size)

Works perfectly. I do this twice; once for X and once for Y.

Map Editor & Thoughts on Xojo

Hobby game programming is difficult because it requires a lot of energy and time but also because it requires the right amount of motivation and the right mind-set. There's always a multitude of technical complications to overcome and you have to overcome these mostly on your own. This isn't helped by the fact that you're also learning along the way - mostly at the end of the day after you've already been burnt out by work. Progress is slow. It's also not uncommon to be halfway through making something and then you feel like making something else. Fortunately with all of your efforts you can always walk away from an unfinished project and be able to say that you've learned something from it.

My life has been turned upside down in the past two years and after a really bad patch it's finally come back together again. Due to the circumstances I was forced to take a break from regular programming and all my creative desires had to be suspended for almost a year. Fortunately, I've come back to programming with renewed vigour. After moving from Australia to Germany to live with my girlfriend I found a new job which introduced me to a new language: Xojo.

Xojo is a surprisingly powerful tool but also a relatively unknown one. At first my expectations for it weren't very high. I'd used VB before and was never very enthusiastic about VB, but Xojo surprised me. While programming at work with it everyday I started to like it a lot. With Xojo it is extremely easy to develop a good looking, stable and quite powerful program in a very small amount of time.

After settling into my new home my creativity crawled  its way slowly back to me. Naturally, I was keen to test Xojo's performance in my favourite area: games development. So I went ahead and created a functional 2D Map Editor for my C++ games.

The development process lasted three weeks, working only in afternoons and on weekends. This is a testament to Xojo's ease of use and potential for rapid development. The end result is very impressive for the amount of time put in and for the amount of problems I encountered during development (none). Due to Xojo's cross platform nature, this will also compile and run with no problems and no modifications for Windows, Mac OSX and Linux.

You may be wondering why I decided to make a map editor instead of a game in Xojo. While it's certainly possible to create a game in Xojo it's not necessarily the best choice for a game developer in its current state... especially for 3D. Here's why:

1. No .net for Windows

On Windows Xojo still uses the Win32 API. Flickering can be a problem. Although there are ways to help fix this, you're still working with old technology. Even for people developing normal programs in Xojo, without a primary focus on graphics, they have encountered difficulties. If you wanted to make a very slick, modern-looking game in Xojo you might have a hard time of it.

The good news is that the Xojo team have just finished upgrading the Mac side of Xojo from Carbon to Cocoa - and Windows is planned for the future.

2. Raw OpenGL / Less libaries

As a less known and used language Xojo has less people to write libraries for it. Considering its beginner orientation and toy-like feel, perhaps it also doesn't do so well at attracting the kind of hardcore users who would create these types of things for it. Which is a shame, because it's really not a tool exclusively for beginners. 3D is possible in Xojo but requires the use of raw OpenGL. There aren't helpful libraries like Irrlicht, Ogre3D, or even Glut, to make it easier for you.

Honestly, it's easier to go and get yourself Irrlicht for 3D than trying to do it with Xojo at the moment. However a good man named Alwyn Bester is working on some kind of 3D library for Xojo to address this issue.

With that said if you're interested in making a simple 2D, crossplatform game with barely any hassle then you can't go wrong with Xojo. It lifts all the complexity off the programmer and lets him/her get straight to the fun parts. Its made a brilliant compromise between power, performance, ease of use and development speed. In fact, for a lightweight programming tool, it doesn't really get much better than Xojo.

Programming languages are tools in the belt of a programmer, and Xojo's earned a place on my belt. While I will continue to use C and C++ for the bulk of my game design efforts, all the tools and utilities I create to support my games will be in Xojo. I'm extremely impressed with how easily I've been able to develop this map editor. If I'd have done it in C++ it would still only be 25% complete by now.

The Map Editor

Anyway, I'll tell you and show you a little bit more about the map editor I've made.

My map editor allows you to create, save and load 2D maps. It creates a text file which saves the location of the tiles and their corresponding TileID. For demonstration purposes I've created this map called Tranquil Forest and have uploaded its map file here so you can look at it:

 Writing in plain text at the top of the file is also ok. Here you can write whatever more you want to say however it
will not be loaded into the game.
Please be mindful of the format. The game will only read lines that end in a semi colon (;) so don't use them in
your comments.


Game=Alpha;
GameVersion=1.0.0;
MapName=TranquilForest;
MapDescription=A nice forest with a road going through it.;
MapVersion=1.0.0;
Author=Joshua Woods;
AuthorInfo=someone@gmail.com;
License=PublicDomain;
Resolution=2048x2048;
TileSize=32;
0,0=5;
0,1=5;
0,2=1;
0,3=1;
0,4=2;
0,5=1;
0,6=1;
0,7=5;
0,8=5;
0,9=5;
0,10=1;
0,11=1;
0,12=1;
0,13=1;
0,14=1;
0,15=1;
0,16=1;
0,17=1;
0,18=1;
0,19=1;
0,20=1;
0,21=1;
0,22=1;
0,23=1;
0,24=1;
0,25=1;
0,26=1;
0,27=1;
0,28=1;
0,29=1;
0,30=1;
0,31=1;
0,32=1;
0,33=1;
0,34=1;
0,35=1;
0,36=1;
0,37=1;
0,38=1;
0,39=1;
0,40=1;
0,41=1;
0,42=1;
0,43=1;
0,44=3;
0,45=4;
0,46=4;
0,47=4;
0,48=4;
0,49=4;
0,50=4;
0,51=4;
0,52=4;
0,53=4;
0,54=4;
0,55=4;
0,56=4;
0,57=4;
0,58=4;
0,59=4;
0,60=4;
0,61=4;
0,62=4;
0,63=4;
1,0=5;
1,1=5;
1,2=1;
1,3=1;
1,4=2;
1,5=1;
1,6=1;
1,7=5;
1,8=5;
1,9=5;
1,10=1;
1,11=1;
1,12=1;
1,13=1;
1,14=1;
1,15=1;
1,16=1;
1,17=1;
1,18=1;
1,19=1;
1,20=1;
1,21=1;
1,22=1;
1,23=5;
1,24=5;
1,25=5;
1,26=1;
1,27=5;
1,28=5;
1,29=5;
1,30=1;
1,31=1;
1,32=1;
1,33=1;
1,34=1;
1,35=1;
1,36=1;
1,37=1;
1,38=1;
1,39=1;
1,40=1;
1,41=1;
1,42=1;
1,43=1;
1,44=3;
1,45=4;
1,46=4;
1,47=4;
1,48=4;
1,49=4;
1,50=4;
1,51=4;
1,52=4;
1,53=4;
1,54=4;
1,55=4;
1,56=4;
1,57=4;
1,58=4;
1,59=4;
1,60=4;
1,61=4;
1,62=4;
1,63=4;
2,0=5;
2,1=5;
2,2=1;
2,3=1;
2,4=2;
2,5=1;
2,6=1;
2,7=5;
2,8=5;
2,9=5;
2,10=1;
2,11=1;
2,12=1;
2,13=1;
2,14=3;
2,15=1;
2,16=1;
2,17=1;
2,18=1;
2,19=1;
2,20=1;
2,21=1;
2,22=5;
2,23=5;
2,24=5;
2,25=5;
2,26=5;
2,27=5;
2,28=5;
2,29=5;
2,30=1;
2,31=1;
2,32=1;
2,33=1;
2,34=1;
2,35=1;
2,36=1;
2,37=1;
2,38=1;
2,39=1;
2,40=1;
2,41=1;
2,42=1;
2,43=1;
2,44=3;
2,45=4;
2,46=4;
2,47=4;
2,48=4;
2,49=4;
2,50=4;
2,51=4;
2,52=4;
2,53=4;
2,54=4;
2,55=4;
2,56=4;
2,57=4;
2,58=4;
2,59=4;
2,60=4;
2,61=4;
2,62=4;
2,63=4;
3,0=5;
3,1=5;
3,2=1;
3,3=1;
3,4=2;
3,5=1;
3,6=1;
3,7=5;
3,8=5;
3,9=5;
3,10=1;
3,11=1;
3,12=3;
3,13=3;
3,14=3;
3,15=3;
3,16=3;
3,17=3;
3,18=1;
3,19=1;
3,20=1;
3,21=1;
3,22=1;
3,23=5;
3,24=5;
3,25=5;
3,26=5;
3,27=5;
3,28=5;
3,29=5;
3,30=5;
3,31=5;
3,32=5;
3,33=1;
3,34=1;
3,35=1;
3,36=1;
3,37=1;
3,38=1;
3,39=1;
3,40=1;
3,41=1;
3,42=1;
3,43=1;
3,44=3;
3,45=4;
3,46=4;
3,47=4;
3,48=4;
3,49=4;
3,50=4;
3,51=4;
3,52=4;
3,53=4;
3,54=4;
3,55=4;
3,56=4;
3,57=4;
3,58=4;
3,59=4;
3,60=4;
3,61=4;
3,62=4;
3,63=4;
4,0=5;
4,1=5;
4,2=5;
4,3=1;
4,4=2;
4,5=2;
4,6=1;
4,7=1;
4,8=5;
4,9=5;
4,10=1;
4,11=1;
4,12=3;
4,13=4;
4,14=4;
4,15=4;
4,16=4;
4,17=3;
4,18=3;
4,19=1;
4,20=1;
4,21=1;
4,22=1;
4,23=1;
4,24=5;
4,25=5;
4,26=5;
4,27=5;
4,28=5;
4,29=5;
4,30=5;
4,31=5;
4,32=5;
4,33=1;
4,34=1;
4,35=1;
4,36=1;
4,37=1;
4,38=1;
4,39=1;
4,40=1;
4,41=1;
4,42=1;
4,43=1;
4,44=3;
4,45=4;
4,46=4;
4,47=4;
4,48=4;
4,49=4;
4,50=4;
4,51=4;
4,52=4;
4,53=4;
4,54=4;
4,55=4;
4,56=4;
4,57=4;
4,58=4;
4,59=4;
4,60=4;
4,61=4;
4,62=4;
4,63=4;
5,0=5;
5,1=5;
5,2=5;
5,3=1;
5,4=1;
5,5=2;
5,6=1;
5,7=1;
5,8=5;
5,9=5;
5,10=1;
5,11=1;
5,12=3;
5,13=4;
5,14=4;
5,15=4;
5,16=4;
5,17=4;
5,18=3;
5,19=3;
5,20=1;
5,21=1;
5,22=1;
5,23=1;
5,24=5;
5,25=5;
5,26=5;
5,27=5;
5,28=5;
5,29=5;
5,30=5;
5,31=5;
5,32=1;
5,33=5;
5,34=1;
5,35=1;
5,36=1;
5,37=1;
5,38=1;
5,39=1;
5,40=1;
5,41=1;
5,42=1;
5,43=1;
5,44=3;
5,45=4;
5,46=4;
5,47=4;
5,48=4;
5,49=4;
5,50=4;
5,51=4;
5,52=4;
5,53=4;
5,54=4;
5,55=4;
5,56=4;
5,57=4;
5,58=4;
5,59=4;
5,60=4;
5,61=4;
5,62=4;
5,63=4;
6,0=5;
6,1=5;
6,2=5;
6,3=1;
6,4=1;
6,5=2;
6,6=2;
6,7=1;
6,8=5;
6,9=5;
6,10=1;
6,11=3;
6,12=3;
6,13=4;
6,14=4;
6,15=4;
6,16=4;
6,17=4;
6,18=4;
6,19=3;
6,20=3;
6,21=1;
6,22=1;
6,23=1;
6,24=5;
6,25=5;
6,26=5;
6,27=1;
6,28=5;
6,29=5;
6,30=5;
6,31=5;
6,32=5;
6,33=5;
6,34=5;
6,35=1;
6,36=1;
6,37=1;
6,38=1;
6,39=1;
6,40=1;
6,41=1;
6,42=1;
6,43=1;
6,44=3;
6,45=3;
6,46=4;
6,47=4;
6,48=4;
6,49=4;
6,50=4;
6,51=4;
6,52=4;
6,53=4;
6,54=4;
6,55=4;
6,56=4;
6,57=4;
6,58=4;
6,59=4;
6,60=4;
6,61=4;
6,62=4;
6,63=4;
7,0=5;
7,1=5;
7,2=5;
7,3=1;
7,4=1;
7,5=1;
7,6=2;
7,7=1;
7,8=5;
7,9=5;
7,10=1;
7,11=3;
7,12=4;
7,13=4;
7,14=4;
7,15=4;
7,16=4;
7,17=4;
7,18=4;
7,19=4;
7,20=3;
7,21=1;
7,22=1;
7,23=1;
7,24=1;
7,25=5;
7,26=5;
7,27=5;
7,28=5;
7,29=5;
7,30=5;
7,31=5;
7,32=5;
7,33=5;
7,34=5;
7,35=1;
7,36=1;
7,37=1;
7,38=1;
7,39=1;
7,40=1;
7,41=1;
7,42=1;
7,43=1;
7,44=1;
7,45=3;
7,46=4;
7,47=4;
7,48=4;
7,49=4;
7,50=4;
7,51=4;
7,52=4;
7,53=4;
7,54=4;
7,55=4;
7,56=4;
7,57=4;
7,58=4;
7,59=4;
7,60=4;
7,61=4;
7,62=4;
7,63=4;
8,0=5;
8,1=5;
8,2=5;
8,3=5;
8,4=1;
8,5=1;
8,6=2;
8,7=1;
8,8=5;
8,9=5;
8,10=1;
8,11=3;
8,12=4;
8,13=4;
8,14=4;
8,15=4;
8,16=4;
8,17=4;
8,18=4;
8,19=4;
8,20=3;
8,21=1;
8,22=1;
8,23=1;
8,24=1;
8,25=5;
8,26=5;
8,27=5;
8,28=5;
8,29=5;
8,30=5;
8,31=5;
8,32=5;
8,33=5;
8,34=5;
8,35=1;
8,36=1;
8,37=1;
8,38=1;
8,39=1;
8,40=1;
8,41=1;
8,42=1;
8,43=1;
8,44=1;
8,45=3;
8,46=3;
8,47=4;
8,48=4;
8,49=4;
8,50=4;
8,51=4;
8,52=4;
8,53=4;
8,54=4;
8,55=4;
8,56=4;
8,57=4;
8,58=4;
8,59=4;
8,60=4;
8,61=4;
8,62=4;
8,63=4;
9,0=5;
9,1=5;
9,2=5;
9,3=5;
9,4=1;
9,5=1;
9,6=2;
9,7=1;
9,8=5;
9,9=5;
9,10=1;
9,11=3;
9,12=3;
9,13=4;
9,14=4;
9,15=4;
9,16=4;
9,17=4;
9,18=4;
9,19=4;
9,20=3;
9,21=1;
9,22=1;
9,23=1;
9,24=5;
9,25=5;
9,26=5;
9,27=5;
9,28=5;
9,29=5;
9,30=5;
9,31=5;
9,32=5;
9,33=5;
9,34=1;
9,35=1;
9,36=1;
9,37=1;
9,38=1;
9,39=1;
9,40=1;
9,41=1;
9,42=1;
9,43=1;
9,44=1;
9,45=3;
9,46=4;
9,47=4;
9,48=4;
9,49=4;
9,50=4;
9,51=4;
9,52=4;
9,53=4;
9,54=4;
9,55=4;
9,56=4;
9,57=4;
9,58=4;
9,59=4;
9,60=4;
9,61=4;
9,62=4;
9,63=4;
10,0=5;
10,1=5;
10,2=5;
10,3=5;
10,4=1;
10,5=2;
10,6=2;
10,7=1;
10,8=5;
10,9=5;
10,10=1;
10,11=1;
10,12=3;
10,13=3;
10,14=4;
10,15=4;
10,16=4;
10,17=4;
10,18=4;
10,19=4;
10,20=3;
10,21=1;
10,22=1;
10,23=1;
10,24=1;
10,25=5;
10,26=5;
10,27=5;
10,28=5;
10,29=5;
10,30=5;
10,31=5;
10,32=5;
10,33=5;
10,34=5;
10,35=1;
10,36=1;
10,37=1;
10,38=1;
10,39=1;
10,40=1;
10,41=1;
10,42=1;
10,43=1;
10,44=1;
10,45=3;
10,46=4;
10,47=4;
10,48=4;
10,49=4;
10,50=4;
10,51=4;
10,52=4;
10,53=4;
10,54=4;
10,55=4;
10,56=4;
10,57=4;
10,58=4;
10,59=4;
10,60=4;
10,61=4;
10,62=4;
10,63=4;
11,0=5;
11,1=5;
11,2=5;
11,3=5;
11,4=1;
11,5=2;
11,6=1;
11,7=1;
11,8=5;
11,9=5;
11,10=1;
11,11=1;
11,12=1;
11,13=3;
11,14=3;
11,15=3;
11,16=4;
11,17=4;
11,18=3;
11,19=3;
11,20=3;
11,21=1;
11,22=1;
11,23=1;
11,24=1;
11,25=5;
11,26=5;
11,27=5;
11,28=5;
11,29=5;
11,30=5;
11,31=5;
11,32=5;
11,33=5;
11,34=5;
11,35=1;
11,36=1;
11,37=1;
11,38=1;
11,39=1;
11,40=1;
11,41=1;
11,42=1;
11,43=1;
11,44=3;
11,45=3;
11,46=4;
11,47=4;
11,48=4;
11,49=4;
11,50=4;
11,51=4;
11,52=4;
11,53=4;
11,54=4;
11,55=4;
11,56=4;
11,57=4;
11,58=4;
11,59=4;
11,60=4;
11,61=4;
11,62=4;
11,63=4;
12,0=5;
12,1=5;
12,2=5;
12,3=5;
12,4=1;
12,5=2;
12,6=1;
12,7=1;
12,8=1;
12,9=1;
12,10=1;
12,11=1;
12,12=1;
12,13=1;
12,14=1;
12,15=3;
12,16=3;
12,17=3;
12,18=3;
12,19=1;
12,20=1;
12,21=1;
12,22=1;
12,23=1;
12,24=1;
12,25=5;
12,26=5;
12,27=5;
12,28=5;
12,29=5;
12,30=5;
12,31=5;
12,32=5;
12,33=5;
12,34=5;
12,35=1;
12,36=1;
12,37=1;
12,38=1;
12,39=1;
12,40=1;
12,41=1;
12,42=1;
12,43=3;
12,44=3;
12,45=4;
12,46=4;
12,47=4;
12,48=4;
12,49=4;
12,50=4;
12,51=4;
12,52=4;
12,53=4;
12,54=4;
12,55=4;
12,56=4;
12,57=4;
12,58=4;
12,59=4;
12,60=4;
12,61=4;
12,62=4;
12,63=4;
13,0=5;
13,1=5;
13,2=5;
13,3=5;
13,4=1;
13,5=2;
13,6=2;
13,7=2;
13,8=2;
13,9=2;
13,10=1;
13,11=5;
13,12=5;
13,13=5;
13,14=1;
13,15=1;
13,16=1;
13,17=1;
13,18=1;
13,19=1;
13,20=1;
13,21=1;
13,22=1;
13,23=1;
13,24=1;
13,25=5;
13,26=5;
13,27=5;
13,28=5;
13,29=5;
13,30=5;
13,31=5;
13,32=5;
13,33=5;
13,34=5;
13,35=1;
13,36=1;
13,37=1;
13,38=1;
13,39=1;
13,40=1;
13,41=1;
13,42=3;
13,43=3;
13,44=4;
13,45=4;
13,46=4;
13,47=4;
13,48=4;
13,49=4;
13,50=4;
13,51=4;
13,52=4;
13,53=4;
13,54=4;
13,55=4;
13,56=4;
13,57=4;
13,58=4;
13,59=4;
13,60=4;
13,61=4;
13,62=4;
13,63=4;
14,0=5;
14,1=5;
14,2=5;
14,3=1;
14,4=1;
14,5=1;
14,6=1;
14,7=1;
14,8=1;
14,9=2;
14,10=1;
14,11=5;
14,12=5;
14,13=5;
14,14=5;
14,15=5;
14,16=5;
14,17=5;
14,18=5;
14,19=5;
14,20=5;
14,21=5;
14,22=1;
14,23=1;
14,24=1;
14,25=1;
14,26=1;
14,27=1;
14,28=5;
14,29=5;
14,30=5;
14,31=5;
14,32=5;
14,33=5;
14,34=5;
14,35=1;
14,36=1;
14,37=1;
14,38=1;
14,39=1;
14,40=1;
14,41=1;
14,42=3;
14,43=4;
14,44=4;
14,45=4;
14,46=4;
14,47=4;
14,48=4;
14,49=4;
14,50=4;
14,51=4;
14,52=4;
14,53=4;
14,54=4;
14,55=4;
14,56=4;
14,57=4;
14,58=4;
14,59=4;
14,60=4;
14,61=4;
14,62=4;
14,63=4;
15,0=5;
15,1=5;
15,2=5;
15,3=5;
15,4=5;
15,5=5;
15,6=5;
15,7=5;
15,8=1;
15,9=2;
15,10=1;
15,11=5;
15,12=5;
15,13=5;
15,14=5;
15,15=5;
15,16=5;
15,17=5;
15,18=5;
15,19=5;
15,20=5;
15,21=5;
15,22=1;
15,23=1;
15,24=1;
15,25=1;
15,26=1;
15,27=1;
15,28=1;
15,29=1;
15,30=1;
15,31=1;
15,32=1;
15,33=1;
15,34=5;
15,35=1;
15,36=1;
15,37=1;
15,38=1;
15,39=1;
15,40=3;
15,41=3;
15,42=3;
15,43=4;
15,44=4;
15,45=4;
15,46=4;
15,47=4;
15,48=4;
15,49=4;
15,50=4;
15,51=4;
15,52=4;
15,53=4;
15,54=4;
15,55=3;
15,56=3;
15,57=3;
15,58=3;
15,59=3;
15,60=3;
15,61=3;
15,62=3;
15,63=3;
16,0=5;
16,1=5;
16,2=5;
16,3=5;
16,4=5;
16,5=1;
16,6=1;
16,7=1;
16,8=1;
16,9=2;
16,10=1;
16,11=1;
16,12=1;
16,13=1;
16,14=1;
16,15=1;
16,16=1;
16,17=1;
16,18=1;
16,19=1;
16,20=1;
16,21=1;
16,22=1;
16,23=1;
16,24=1;
16,25=1;
16,26=1;
16,27=1;
16,28=1;
16,29=1;
16,30=1;
16,31=1;
16,32=1;
16,33=1;
16,34=1;
16,35=1;
16,36=1;
16,37=1;
16,38=1;
16,39=1;
16,40=3;
16,41=4;
16,42=4;
16,43=4;
16,44=4;
16,45=4;
16,46=4;
16,47=4;
16,48=4;
16,49=4;
16,50=4;
16,51=4;
16,52=4;
16,53=4;
16,54=3;
16,55=3;
16,56=1;
16,57=1;
16,58=1;
16,59=1;
16,60=1;
16,61=1;
16,62=1;
16,63=1;
17,0=5;
17,1=5;
17,2=5;
17,3=5;
17,4=5;
17,5=5;
17,6=1;
17,7=1;
17,8=1;
17,9=2;
17,10=1;
17,11=1;
17,12=1;
17,13=1;
17,14=1;
17,15=1;
17,16=1;
17,17=1;
17,18=1;
17,19=1;
17,20=1;
17,21=1;
17,22=1;
17,23=1;
17,24=5;
17,25=5;
17,26=5;
17,27=5;
17,28=1;
17,29=1;
17,30=1;
17,31=1;
17,32=1;
17,33=1;
17,34=1;
17,35=1;
17,36=1;
17,37=1;
17,38=1;
17,39=3;
17,40=3;
17,41=4;
17,42=4;
17,43=4;
17,44=4;
17,45=4;
17,46=4;
17,47=4;
17,48=4;
17,49=4;
17,50=4;
17,51=4;
17,52=4;
17,53=4;
17,54=3;
17,55=1;
17,56=1;
17,57=1;
17,58=1;
17,59=1;
17,60=1;
17,61=1;
17,62=1;
17,63=1;
18,0=5;
18,1=5;
18,2=5;
18,3=5;
18,4=5;
18,5=5;
18,6=1;
18,7=1;
18,8=1;
18,9=2;
18,10=1;
18,11=1;
18,12=1;
18,13=1;
18,14=1;
18,15=1;
18,16=1;
18,17=1;
18,18=1;
18,19=1;
18,20=1;
18,21=1;
18,22=1;
18,23=5;
18,24=5;
18,25=5;
18,26=5;
18,27=5;
18,28=5;
18,29=5;
18,30=5;
18,31=5;
18,32=1;
18,33=1;
18,34=1;
18,35=1;
18,36=1;
18,37=1;
18,38=3;
18,39=3;
18,40=4;
18,41=4;
18,42=4;
18,43=4;
18,44=4;
18,45=4;
18,46=4;
18,47=4;
18,48=4;
18,49=4;
18,50=4;
18,51=4;
18,52=4;
18,53=3;
18,54=3;
18,55=1;
18,56=1;
18,57=1;
18,58=1;
18,59=1;
18,60=1;
18,61=1;
18,62=1;
18,63=1;
19,0=5;
19,1=1;
19,2=5;
19,3=5;
19,4=5;
19,5=5;
19,6=1;
19,7=1;
19,8=1;
19,9=2;
19,10=2;
19,11=1;
19,12=1;
19,13=1;
19,14=1;
19,15=1;
19,16=1;
19,17=1;
19,18=1;
19,19=1;
19,20=1;
19,21=1;
19,22=1;
19,23=5;
19,24=5;
19,25=5;
19,26=5;
19,27=5;
19,28=5;
19,29=5;
19,30=5;
19,31=5;
19,32=5;
19,33=1;
19,34=1;
19,35=1;
19,36=1;
19,37=1;
19,38=3;
19,39=4;
19,40=4;
19,41=4;
19,42=4;
19,43=4;
19,44=4;
19,45=4;
19,46=4;
19,47=4;
19,48=4;
19,49=4;
19,50=4;
19,51=3;
19,52=3;
19,53=3;
19,54=1;
19,55=1;
19,56=1;
19,57=1;
19,58=1;
19,59=1;
19,60=1;
19,61=1;
19,62=1;
19,63=1;
20,0=1;
20,1=5;
20,2=1;
20,3=5;
20,4=5;
20,5=5;
20,6=5;
20,7=1;
20,8=1;
20,9=1;
20,10=2;
20,11=2;
20,12=1;
20,13=1;
20,14=1;
20,15=1;
20,16=1;
20,17=1;
20,18=1;
20,19=1;
20,20=1;
20,21=1;
20,22=1;
20,23=5;
20,24=5;
20,25=5;
20,26=5;
20,27=5;
20,28=5;
20,29=5;
20,30=5;
20,31=5;
20,32=5;
20,33=1;
20,34=1;
20,35=1;
20,36=1;
20,37=1;
20,38=3;
20,39=4;
20,40=4;
20,41=4;
20,42=4;
20,43=4;
20,44=4;
20,45=4;
20,46=4;
20,47=4;
20,48=4;
20,49=4;
20,50=3;
20,51=3;
20,52=1;
20,53=1;
20,54=1;
20,55=1;
20,56=1;
20,57=1;
20,58=1;
20,59=1;
20,60=1;
20,61=1;
20,62=1;
20,63=1;
21,0=1;
21,1=5;
21,2=5;
21,3=5;
21,4=5;
21,5=5;
21,6=1;
21,7=1;
21,8=1;
21,9=1;
21,10=2;
21,11=2;
21,12=1;
21,13=1;
21,14=1;
21,15=1;
21,16=1;
21,17=1;
21,18=1;
21,19=1;
21,20=1;
21,21=1;
21,22=5;
21,23=5;
21,24=5;
21,25=5;
21,26=5;
21,27=5;
21,28=5;
21,29=5;
21,30=5;
21,31=5;
21,32=5;
21,33=5;
21,34=5;
21,35=1;
21,36=1;
21,37=1;
21,38=3;
21,39=4;
21,40=4;
21,41=4;
21,42=4;
21,43=4;
21,44=4;
21,45=4;
21,46=4;
21,47=4;
21,48=4;
21,49=3;
21,50=3;
21,51=1;
21,52=1;
21,53=1;
21,54=1;
21,55=1;
21,56=1;
21,57=1;
21,58=1;
21,59=1;
21,60=1;
21,61=1;
21,62=1;
21,63=1;
22,0=1;
22,1=5;
22,2=5;
22,3=5;
22,4=5;
22,5=5;
22,6=5;
22,7=5;
22,8=1;
22,9=1;
22,10=1;
22,11=2;
22,12=2;
22,13=2;
22,14=1;
22,15=1;
22,16=1;
22,17=1;
22,18=1;
22,19=1;
22,20=1;
22,21=1;
22,22=1;
22,23=5;
22,24=5;
22,25=5;
22,26=5;
22,27=5;
22,28=5;
22,29=5;
22,30=5;
22,31=5;
22,32=5;
22,33=5;
22,34=5;
22,35=1;
22,36=1;
22,37=1;
22,38=3;
22,39=4;
22,40=4;
22,41=4;
22,42=4;
22,43=4;
22,44=4;
22,45=4;
22,46=4;
22,47=4;
22,48=3;
22,49=3;
22,50=1;
22,51=1;
22,52=1;
22,53=1;
22,54=1;
22,55=1;
22,56=1;
22,57=1;
22,58=1;
22,59=1;
22,60=1;
22,61=1;
22,62=1;
22,63=1;
23,0=5;
23,1=5;
23,2=5;
23,3=5;
23,4=5;
23,5=5;
23,6=5;
23,7=5;
23,8=1;
23,9=1;
23,10=1;
23,11=1;
23,12=1;
23,13=2;
23,14=2;
23,15=1;
23,16=1;
23,17=1;
23,18=1;
23,19=1;
23,20=1;
23,21=1;
23,22=1;
23,23=5;
23,24=5;
23,25=5;
23,26=5;
23,27=5;
23,28=5;
23,29=5;
23,30=5;
23,31=5;
23,32=5;
23,33=5;
23,34=5;
23,35=1;
23,36=1;
23,37=1;
23,38=3;
23,39=3;
23,40=3;
23,41=4;
23,42=4;
23,43=4;
23,44=4;
23,45=4;
23,46=3;
23,47=3;
23,48=3;
23,49=1;
23,50=1;
23,51=1;
23,52=1;
23,53=1;
23,54=1;
23,55=1;
23,56=5;
23,57=5;
23,58=5;
23,59=5;
23,60=1;
23,61=1;
23,62=1;
23,63=1;
24,0=5;
24,1=5;
24,2=5;
24,3=5;
24,4=5;
24,5=5;
24,6=5;
24,7=5;
24,8=5;
24,9=5;
24,10=1;
24,11=1;
24,12=1;
24,13=1;
24,14=2;
24,15=2;
24,16=2;
24,17=2;
24,18=2;
24,19=2;
24,20=1;
24,21=1;
24,22=1;
24,23=1;
24,24=5;
24,25=5;
24,26=5;
24,27=5;
24,28=5;
24,29=5;
24,30=5;
24,31=5;
24,32=5;
24,33=5;
24,34=5;
24,35=1;
24,36=1;
24,37=1;
24,38=1;
24,39=1;
24,40=3;
24,41=3;
24,42=3;
24,43=3;
24,44=3;
24,45=3;
24,46=3;
24,47=1;
24,48=1;
24,49=1;
24,50=1;
24,51=1;
24,52=1;
24,53=1;
24,54=5;
24,55=5;
24,56=1;
24,57=5;
24,58=5;
24,59=5;
24,60=5;
24,61=5;
24,62=5;
24,63=1;
25,0=1;
25,1=5;
25,2=5;
25,3=5;
25,4=5;
25,5=5;
25,6=5;
25,7=5;
25,8=5;
25,9=5;
25,10=5;
25,11=1;
25,12=1;
25,13=1;
25,14=1;
25,15=1;
25,16=1;
25,17=1;
25,18=1;
25,19=2;
25,20=1;
25,21=1;
25,22=1;
25,23=1;
25,24=1;
25,25=1;
25,26=1;
25,27=1;
25,28=5;
25,29=5;
25,30=5;
25,31=5;
25,32=5;
25,33=5;
25,34=1;
25,35=1;
25,36=1;
25,37=1;
25,38=1;
25,39=1;
25,40=1;
25,41=1;
25,42=1;
25,43=1;
25,44=1;
25,45=1;
25,46=1;
25,47=1;
25,48=1;
25,49=1;
25,50=1;
25,51=1;
25,52=1;
25,53=5;
25,54=5;
25,55=5;
25,56=5;
25,57=5;
25,58=5;
25,59=5;
25,60=5;
25,61=5;
25,62=5;
25,63=1;
26,0=5;
26,1=5;
26,2=5;
26,3=5;
26,4=5;
26,5=5;
26,6=5;
26,7=5;
26,8=5;
26,9=5;
26,10=5;
26,11=5;
26,12=5;
26,13=1;
26,14=1;
26,15=1;
26,16=1;
26,17=1;
26,18=1;
26,19=2;
26,20=2;
26,21=1;
26,22=1;
26,23=1;
26,24=1;
26,25=1;
26,26=1;
26,27=1;
26,28=1;
26,29=1;
26,30=1;
26,31=1;
26,32=1;
26,33=5;
26,34=1;
26,35=1;
26,36=1;
26,37=1;
26,38=1;
26,39=1;
26,40=1;
26,41=1;
26,42=1;
26,43=5;
26,44=5;
26,45=5;
26,46=5;
26,47=5;
26,48=1;
26,49=1;
26,50=1;
26,51=1;
26,52=5;
26,53=5;
26,54=5;
26,55=5;
26,56=1;
26,57=5;
26,58=1;
26,59=5;
26,60=5;
26,61=5;
26,62=5;
26,63=1;
27,0=1;
27,1=5;
27,2=5;
27,3=5;
27,4=5;
27,5=5;
27,6=5;
27,7=5;
27,8=5;
27,9=5;
27,10=5;
27,11=5;
27,12=5;
27,13=5;
27,14=1;
27,15=1;
27,16=1;
27,17=1;
27,18=1;
27,19=1;
27,20=2;
27,21=2;
27,22=1;
27,23=1;
27,24=1;
27,25=1;
27,26=1;
27,27=1;
27,28=1;
27,29=1;
27,30=1;
27,31=1;
27,32=1;
27,33=1;
27,34=1;
27,35=1;
27,36=1;
27,37=1;
27,38=1;
27,39=1;
27,40=1;
27,41=1;
27,42=5;
27,43=5;
27,44=5;
27,45=5;
27,46=5;
27,47=5;
27,48=1;
27,49=1;
27,50=1;
27,51=5;
27,52=5;
27,53=5;
27,54=5;
27,55=1;
27,56=5;
27,57=5;
27,58=5;
27,59=5;
27,60=5;
27,61=1;
27,62=5;
27,63=1;
28,0=1;
28,1=5;
28,2=5;
28,3=1;
28,4=5;
28,5=5;
28,6=1;
28,7=1;
28,8=5;
28,9=5;
28,10=5;
28,11=5;
28,12=5;
28,13=1;
28,14=1;
28,15=1;
28,16=1;
28,17=1;
28,18=1;
28,19=1;
28,20=1;
28,21=2;
28,22=2;
28,23=1;
28,24=1;
28,25=1;
28,26=1;
28,27=1;
28,28=1;
28,29=1;
28,30=1;
28,31=1;
28,32=1;
28,33=1;
28,34=1;
28,35=1;
28,36=1;
28,37=1;
28,38=1;
28,39=5;
28,40=5;
28,41=5;
28,42=1;
28,43=5;
28,44=5;
28,45=5;
28,46=5;
28,47=5;
28,48=1;
28,49=1;
28,50=1;
28,51=5;
28,52=5;
28,53=5;
28,54=5;
28,55=5;
28,56=5;
28,57=5;
28,58=5;
28,59=5;
28,60=1;
28,61=5;
28,62=5;
28,63=1;
29,0=1;
29,1=5;
29,2=1;
29,3=1;
29,4=1;
29,5=1;
29,6=1;
29,7=1;
29,8=1;
29,9=1;
29,10=1;
29,11=1;
29,12=1;
29,13=1;
29,14=1;
29,15=1;
29,16=1;
29,17=1;
29,18=1;
29,19=1;
29,20=1;
29,21=1;
29,22=2;
29,23=1;
29,24=1;
29,25=1;
29,26=1;
29,27=1;
29,28=1;
29,29=1;
29,30=1;
29,31=1;
29,32=1;
29,33=1;
29,34=1;
29,35=1;
29,36=1;
29,37=1;
29,38=5;
29,39=5;
29,40=1;
29,41=5;
29,42=5;
29,43=5;
29,44=5;
29,45=5;
29,46=5;
29,47=1;
29,48=1;
29,49=1;
29,50=1;
29,51=1;
29,52=1;
29,53=5;
29,54=1;
29,55=5;
29,56=5;
29,57=5;
29,58=5;
29,59=5;
29,60=5;
29,61=5;
29,62=1;
29,63=1;
30,0=1;
30,1=1;
30,2=1;
30,3=1;
30,4=1;
30,5=1;
30,6=1;
30,7=1;
30,8=1;
30,9=1;
30,10=1;
30,11=1;
30,12=1;
30,13=1;
30,14=1;
30,15=1;
30,16=1;
30,17=1;
30,18=1;
30,19=1;
30,20=1;
30,21=1;
30,22=2;
30,23=2;
30,24=1;
30,25=1;
30,26=1;
30,27=1;
30,28=1;
30,29=1;
30,30=1;
30,31=1;
30,32=1;
30,33=1;
30,34=1;
30,35=5;
30,36=5;
30,37=5;
30,38=5;
30,39=5;
30,40=5;
30,41=5;
30,42=5;
30,43=5;
30,44=5;
30,45=5;
30,46=5;
30,47=1;
30,48=1;
30,49=1;
30,50=1;
30,51=1;
30,52=1;
30,53=1;
30,54=1;
30,55=5;
30,56=1;
30,57=1;
30,58=1;
30,59=1;
30,60=1;
30,61=1;
30,62=1;
30,63=1;
31,0=1;
31,1=1;
31,2=1;
31,3=1;
31,4=1;
31,5=1;
31,6=3;
31,7=3;
31,8=3;
31,9=3;
31,10=3;
31,11=3;
31,12=3;
31,13=3;
31,14=3;
31,15=3;
31,16=1;
31,17=1;
31,18=1;
31,19=1;
31,20=1;
31,21=1;
31,22=1;
31,23=2;
31,24=2;
31,25=1;
31,26=1;
31,27=1;
31,28=1;
31,29=1;
31,30=1;
31,31=1;
31,32=1;
31,33=1;
31,34=1;
31,35=5;
31,36=1;
31,37=1;
31,38=5;
31,39=5;
31,40=5;
31,41=5;
31,42=1;
31,43=5;
31,44=5;
31,45=1;
31,46=1;
31,47=1;
31,48=1;
31,49=1;
31,50=1;
31,51=1;
31,52=1;
31,53=1;
31,54=1;
31,55=1;
31,56=1;
31,57=1;
31,58=1;
31,59=1;
31,60=1;
31,61=1;
31,62=1;
31,63=1;
32,0=1;
32,1=1;
32,2=1;
32,3=1;
32,4=3;
32,5=3;
32,6=3;
32,7=4;
32,8=4;
32,9=4;
32,10=4;
32,11=4;
32,12=4;
32,13=4;
32,14=4;
32,15=3;
32,16=3;
32,17=3;
32,18=1;
32,19=1;
32,20=1;
32,21=1;
32,22=1;
32,23=1;
32,24=2;
32,25=2;
32,26=1;
32,27=1;
32,28=1;
32,29=1;
32,30=1;
32,31=1;
32,32=1;
32,33=1;
32,34=1;
32,35=5;
32,36=5;
32,37=5;
32,38=1;
32,39=5;
32,40=5;
32,41=5;
32,42=5;
32,43=1;
32,44=1;
32,45=1;
32,46=1;
32,47=1;
32,48=1;
32,49=1;
32,50=1;
32,51=1;
32,52=2;
32,53=2;
32,54=2;
32,55=2;
32,56=2;
32,57=2;
32,58=2;
32,59=2;
32,60=2;
32,61=2;
32,62=2;
32,63=2;
33,0=1;
33,1=1;
33,2=1;
33,3=3;
33,4=3;
33,5=4;
33,6=4;
33,7=4;
33,8=4;
33,9=4;
33,10=4;
33,11=4;
33,12=4;
33,13=4;
33,14=4;
33,15=4;
33,16=4;
33,17=3;
33,18=1;
33,19=1;
33,20=1;
33,21=5;
33,22=1;
33,23=1;
33,24=1;
33,25=2;
33,26=2;
33,27=1;
33,28=1;
33,29=1;
33,30=1;
33,31=1;
33,32=1;
33,33=1;
33,34=1;
33,35=1;
33,36=1;
33,37=1;
33,38=5;
33,39=1;
33,40=1;
33,41=1;
33,42=1;
33,43=1;
33,44=1;
33,45=1;
33,46=1;
33,47=1;
33,48=2;
33,49=2;
33,50=2;
33,51=2;
33,52=2;
33,53=1;
33,54=1;
33,55=1;
33,56=1;
33,57=1;
33,58=1;
33,59=1;
33,60=1;
33,61=1;
33,62=1;
33,63=1;
34,0=1;
34,1=1;
34,2=3;
34,3=3;
34,4=4;
34,5=4;
34,6=4;
34,7=4;
34,8=4;
34,9=4;
34,10=4;
34,11=4;
34,12=4;
34,13=4;
34,14=4;
34,15=4;
34,16=4;
34,17=3;
34,18=1;
34,19=1;
34,20=1;
34,21=5;
34,22=5;
34,23=1;
34,24=1;
34,25=1;
34,26=2;
34,27=2;
34,28=2;
34,29=1;
34,30=1;
34,31=1;
34,32=1;
34,33=1;
34,34=1;
34,35=1;
34,36=1;
34,37=1;
34,38=1;
34,39=1;
34,40=1;
34,41=1;
34,42=1;
34,43=1;
34,44=2;
34,45=2;
34,46=2;
34,47=2;
34,48=2;
34,49=1;
34,50=1;
34,51=1;
34,52=1;
34,53=1;
34,54=1;
34,55=1;
34,56=1;
34,57=1;
34,58=1;
34,59=1;
34,60=1;
34,61=1;
34,62=1;
34,63=1;
35,0=1;
35,1=1;
35,2=3;
35,3=4;
35,4=4;
35,5=4;
35,6=4;
35,7=4;
35,8=4;
35,9=4;
35,10=4;
35,11=4;
35,12=4;
35,13=4;
35,14=4;
35,15=4;
35,16=4;
35,17=3;
35,18=3;
35,19=1;
35,20=1;
35,21=5;
35,22=5;
35,23=5;
35,24=1;
35,25=1;
35,26=1;
35,27=1;
35,28=2;
35,29=2;
35,30=2;
35,31=2;
35,32=2;
35,33=2;
35,34=1;
35,35=1;
35,36=1;
35,37=1;
35,38=1;
35,39=2;
35,40=2;
35,41=2;
35,42=2;
35,43=2;
35,44=2;
35,45=1;
35,46=1;
35,47=1;
35,48=1;
35,49=1;
35,50=1;
35,51=1;
35,52=1;
35,53=1;
35,54=5;
35,55=5;
35,56=5;
35,57=1;
35,58=1;
35,59=1;
35,60=1;
35,61=1;
35,62=1;
35,63=1;
36,0=1;
36,1=3;
36,2=3;
36,3=4;
36,4=4;
36,5=4;
36,6=4;
36,7=4;
36,8=4;
36,9=4;
36,10=4;
36,11=4;
36,12=4;
36,13=4;
36,14=4;
36,15=4;
36,16=4;
36,17=4;
36,18=3;
36,19=1;
36,20=5;
36,21=5;
36,22=5;
36,23=5;
36,24=1;
36,25=1;
36,26=1;
36,27=1;
36,28=1;
36,29=1;
36,30=1;
36,31=1;
36,32=1;
36,33=2;
36,34=2;
36,35=2;
36,36=2;
36,37=2;
36,38=2;
36,39=2;
36,40=1;
36,41=1;
36,42=1;
36,43=1;
36,44=1;
36,45=1;
36,46=1;
36,47=1;
36,48=1;
36,49=1;
36,50=1;
36,51=1;
36,52=1;
36,53=5;
36,54=5;
36,55=5;
36,56=5;
36,57=1;
36,58=1;
36,59=1;
36,60=1;
36,61=1;
36,62=1;
36,63=5;
37,0=1;
37,1=3;
37,2=3;
37,3=4;
37,4=4;
37,5=4;
37,6=4;
37,7=4;
37,8=4;
37,9=4;
37,10=4;
37,11=4;
37,12=4;
37,13=4;
37,14=4;
37,15=4;
37,16=4;
37,17=4;
37,18=3;
37,19=1;
37,20=5;
37,21=5;
37,22=5;
37,23=5;
37,24=1;
37,25=1;
37,26=1;
37,27=1;
37,28=1;
37,29=1;
37,30=1;
37,31=1;
37,32=1;
37,33=1;
37,34=1;
37,35=1;
37,36=2;
37,37=2;
37,38=1;
37,39=1;
37,40=1;
37,41=1;
37,42=1;
37,43=1;
37,44=1;
37,45=1;
37,46=1;
37,47=1;
37,48=1;
37,49=1;
37,50=1;
37,51=5;
37,52=5;
37,53=5;
37,54=5;
37,55=5;
37,56=5;
37,57=1;
37,58=1;
37,59=1;
37,60=1;
37,61=1;
37,62=5;
37,63=5;
38,0=1;
38,1=3;
38,2=3;
38,3=4;
38,4=4;
38,5=4;
38,6=4;
38,7=4;
38,8=4;
38,9=4;
38,10=4;
38,11=4;
38,12=4;
38,13=4;
38,14=4;
38,15=4;
38,16=4;
38,17=4;
38,18=3;
38,19=1;
38,20=5;
38,21=5;
38,22=1;
38,23=1;
38,24=1;
38,25=3;
38,26=3;
38,27=3;
38,28=3;
38,29=1;
38,30=1;
38,31=1;
38,32=1;
38,33=1;
38,34=1;
38,35=1;
38,36=1;
38,37=2;
38,38=1;
38,39=1;
38,40=1;
38,41=1;
38,42=1;
38,43=5;
38,44=5;
38,45=5;
38,46=5;
38,47=5;
38,48=5;
38,49=5;
38,50=5;
38,51=5;
38,52=5;
38,53=5;
38,54=5;
38,55=5;
38,56=5;
38,57=5;
38,58=1;
38,59=1;
38,60=1;
38,61=1;
38,62=5;
38,63=5;
39,0=1;
39,1=1;
39,2=3;
39,3=4;
39,4=4;
39,5=4;
39,6=4;
39,7=4;
39,8=4;
39,9=4;
39,10=4;
39,11=4;
39,12=4;
39,13=4;
39,14=4;
39,15=4;
39,16=4;
39,17=4;
39,18=3;
39,19=1;
39,20=1;
39,21=1;
39,22=1;
39,23=3;
39,24=3;
39,25=3;
39,26=4;
39,27=4;
39,28=3;
39,29=1;
39,30=1;
39,31=5;
39,32=5;
39,33=5;
39,34=1;
39,35=1;
39,36=1;
39,37=2;
39,38=2;
39,39=1;
39,40=1;
39,41=1;
39,42=5;
39,43=5;
39,44=5;
39,45=5;
39,46=5;
39,47=5;
39,48=5;
39,49=5;
39,50=5;
39,51=5;
39,52=5;
39,53=5;
39,54=5;
39,55=5;
39,56=1;
39,57=1;
39,58=1;
39,59=1;
39,60=1;
39,61=5;
39,62=5;
39,63=5;
40,0=1;
40,1=1;
40,2=3;
40,3=4;
40,4=4;
40,5=4;
40,6=4;
40,7=4;
40,8=4;
40,9=4;
40,10=4;
40,11=4;
40,12=4;
40,13=4;
40,14=4;
40,15=3;
40,16=3;
40,17=3;
40,18=3;
40,19=1;
40,20=1;
40,21=1;
40,22=3;
40,23=3;
40,24=4;
40,25=4;
40,26=4;
40,27=3;
40,28=3;
40,29=1;
40,30=1;
40,31=5;
40,32=5;
40,33=5;
40,34=5;
40,35=5;
40,36=1;
40,37=1;
40,38=2;
40,39=1;
40,40=1;
40,41=1;
40,42=5;
40,43=5;
40,44=5;
40,45=5;
40,46=5;
40,47=5;
40,48=5;
40,49=5;
40,50=5;
40,51=5;
40,52=5;
40,53=5;
40,54=5;
40,55=1;
40,56=1;
40,57=1;
40,58=1;
40,59=1;
40,60=5;
40,61=5;
40,62=5;
40,63=5;
41,0=1;
41,1=1;
41,2=3;
41,3=3;
41,4=4;
41,5=4;
41,6=4;
41,7=4;
41,8=4;
41,9=4;
41,10=4;
41,11=4;
41,12=4;
41,13=4;
41,14=4;
41,15=3;
41,16=1;
41,17=1;
41,18=1;
41,19=1;
41,20=1;
41,21=3;
41,22=3;
41,23=4;
41,24=4;
41,25=3;
41,26=3;
41,27=3;
41,28=1;
41,29=1;
41,30=5;
41,31=5;
41,32=5;
41,33=5;
41,34=5;
41,35=5;
41,36=1;
41,37=1;
41,38=2;
41,39=1;
41,40=1;
41,41=1;
41,42=1;
41,43=5;
41,44=5;
41,45=5;
41,46=5;
41,47=5;
41,48=5;
41,49=5;
41,50=5;
41,51=5;
41,52=5;
41,53=5;
41,54=1;
41,55=1;
41,56=1;
41,57=1;
41,58=1;
41,59=5;
41,60=5;
41,61=5;
41,62=5;
41,63=5;
42,0=5;
42,1=1;
42,2=1;
42,3=3;
42,4=4;
42,5=4;
42,6=4;
42,7=4;
42,8=4;
42,9=4;
42,10=4;
42,11=4;
42,12=4;
42,13=4;
42,14=4;
42,15=3;
42,16=1;
42,17=5;
42,18=5;
42,19=5;
42,20=1;
42,21=3;
42,22=4;
42,23=4;
42,24=3;
42,25=3;
42,26=1;
42,27=1;
42,28=1;
42,29=1;
42,30=5;
42,31=1;
42,32=1;
42,33=1;
42,34=1;
42,35=1;
42,36=1;
42,37=1;
42,38=2;
42,39=2;
42,40=1;
42,41=1;
42,42=1;
42,43=5;
42,44=5;
42,45=5;
42,46=5;
42,47=5;
42,48=5;
42,49=5;
42,50=5;
42,51=5;
42,52=5;
42,53=5;
42,54=1;
42,55=1;
42,56=1;
42,57=1;
42,58=1;
42,59=5;
42,60=5;
42,61=5;
42,62=5;
42,63=5;
43,0=5;
43,1=5;
43,2=1;
43,3=3;
43,4=3;
43,5=4;
43,6=4;
43,7=4;
43,8=4;
43,9=4;
43,10=4;
43,11=3;
43,12=3;
43,13=4;
43,14=4;
43,15=3;
43,16=1;
43,17=5;
43,18=5;
43,19=1;
43,20=1;
43,21=3;
43,22=4;
43,23=3;
43,24=3;
43,25=1;
43,26=1;
43,27=1;
43,28=1;
43,29=1;
43,30=1;
43,31=1;
43,32=1;
43,33=1;
43,34=1;
43,35=1;
43,36=1;
43,37=1;
43,38=1;
43,39=2;
43,40=2;
43,41=1;
43,42=1;
43,43=1;
43,44=5;
43,45=5;
43,46=5;
43,47=5;
43,48=5;
43,49=5;
43,50=5;
43,51=5;
43,52=5;
43,53=5;
43,54=1;
43,55=1;
43,56=1;
43,57=1;
43,58=1;
43,59=5;
43,60=5;
43,61=5;
43,62=5;
43,63=5;
44,0=1;
44,1=5;
44,2=1;
44,3=1;
44,4=3;
44,5=3;
44,6=4;
44,7=3;
44,8=3;
44,9=3;
44,10=3;
44,11=3;
44,12=3;
44,13=3;
44,14=4;
44,15=3;
44,16=3;
44,17=1;
44,18=1;
44,19=1;
44,20=3;
44,21=3;
44,22=4;
44,23=3;
44,24=3;
44,25=1;
44,26=1;
44,27=1;
44,28=1;
44,29=1;
44,30=3;
44,31=3;
44,32=3;
44,33=3;
44,34=3;
44,35=1;
44,36=1;
44,37=1;
44,38=1;
44,39=1;
44,40=2;
44,41=1;
44,42=1;
44,43=1;
44,44=5;
44,45=5;
44,46=5;
44,47=5;
44,48=5;
44,49=5;
44,50=5;
44,51=5;
44,52=5;
44,53=5;
44,54=1;
44,55=1;
44,56=1;
44,57=1;
44,58=1;
44,59=5;
44,60=5;
44,61=5;
44,62=5;
44,63=5;
45,0=1;
45,1=5;
45,2=1;
45,3=1;
45,4=3;
45,5=3;
45,6=3;
45,7=3;
45,8=1;
45,9=1;
45,10=1;
45,11=1;
45,12=1;
45,13=3;
45,14=4;
45,15=4;
45,16=3;
45,17=3;
45,18=3;
45,19=3;
45,20=3;
45,21=4;
45,22=4;
45,23=4;
45,24=3;
45,25=3;
45,26=3;
45,27=3;
45,28=3;
45,29=3;
45,30=3;
45,31=4;
45,32=4;
45,33=4;
45,34=3;
45,35=1;
45,36=1;
45,37=1;
45,38=1;
45,39=1;
45,40=2;
45,41=1;
45,42=1;
45,43=5;
45,44=5;
45,45=5;
45,46=5;
45,47=5;
45,48=5;
45,49=5;
45,50=5;
45,51=5;
45,52=1;
45,53=1;
45,54=1;
45,55=1;
45,56=1;
45,57=1;
45,58=5;
45,59=5;
45,60=5;
45,61=5;
45,62=5;
45,63=5;
46,0=1;
46,1=1;
46,2=1;
46,3=1;
46,4=1;
46,5=1;
46,6=1;
46,7=1;
46,8=1;
46,9=1;
46,10=5;
46,11=5;
46,12=1;
46,13=3;
46,14=3;
46,15=4;
46,16=4;
46,17=3;
46,18=3;
46,19=4;
46,20=4;
46,21=4;
46,22=3;
46,23=4;
46,24=4;
46,25=4;
46,26=4;
46,27=4;
46,28=4;
46,29=4;
46,30=4;
46,31=4;
46,32=3;
46,33=3;
46,34=3;
46,35=1;
46,36=1;
46,37=1;
46,38=1;
46,39=1;
46,40=2;
46,41=1;
46,42=1;
46,43=5;
46,44=5;
46,45=5;
46,46=5;
46,47=5;
46,48=5;
46,49=5;
46,50=1;
46,51=5;
46,52=1;
46,53=1;
46,54=1;
46,55=1;
46,56=1;
46,57=1;
46,58=5;
46,59=5;
46,60=5;
46,61=5;
46,62=5;
46,63=5;
47,0=1;
47,1=5;
47,2=1;
47,3=1;
47,4=5;
47,5=5;
47,6=1;
47,7=5;
47,8=5;
47,9=5;
47,10=5;
47,11=5;
47,12=1;
47,13=1;
47,14=3;
47,15=3;
47,16=4;
47,17=4;
47,18=4;
47,19=4;
47,20=3;
47,21=3;
47,22=3;
47,23=3;
47,24=3;
47,25=3;
47,26=3;
47,27=3;
47,28=3;
47,29=3;
47,30=3;
47,31=3;
47,32=3;
47,33=1;
47,34=1;
47,35=1;
47,36=1;
47,37=1;
47,38=1;
47,39=1;
47,40=2;
47,41=1;
47,42=1;
47,43=1;
47,44=1;
47,45=5;
47,46=5;
47,47=5;
47,48=1;
47,49=1;
47,50=1;
47,51=5;
47,52=1;
47,53=1;
47,54=1;
47,55=1;
47,56=1;
47,57=1;
47,58=5;
47,59=5;
47,60=5;
47,61=5;
47,62=5;
47,63=5;
48,0=1;
48,1=5;
48,2=5;
48,3=5;
48,4=5;
48,5=5;
48,6=5;
48,7=5;
48,8=5;
48,9=5;
48,10=5;
48,11=5;
48,12=5;
48,13=1;
48,14=3;
48,15=3;
48,16=3;
48,17=4;
48,18=4;
48,19=3;
48,20=3;
48,21=1;
48,22=1;
48,23=1;
48,24=1;
48,25=1;
48,26=1;
48,27=1;
48,28=1;
48,29=1;
48,30=1;
48,31=1;
48,32=1;
48,33=1;
48,34=1;
48,35=1;
48,36=1;
48,37=1;
48,38=1;
48,39=1;
48,40=2;
48,41=1;
48,42=1;
48,43=1;
48,44=1;
48,45=1;
48,46=5;
48,47=1;
48,48=1;
48,49=1;
48,50=1;
48,51=1;
48,52=1;
48,53=1;
48,54=1;
48,55=1;
48,56=1;
48,57=1;
48,58=1;
48,59=5;
48,60=5;
48,61=5;
48,62=5;
48,63=5;
49,0=1;
49,1=1;
49,2=1;
49,3=5;
49,4=5;
49,5=5;
49,6=1;
49,7=1;
49,8=1;
49,9=1;
49,10=5;
49,11=5;
49,12=5;
49,13=1;
49,14=3;
49,15=3;
49,16=4;
49,17=4;
49,18=3;
49,19=3;
49,20=1;
49,21=1;
49,22=5;
49,23=5;
49,24=5;
49,25=5;
49,26=5;
49,27=5;
49,28=5;
49,29=5;
49,30=5;
49,31=5;
49,32=1;
49,33=1;
49,34=1;
49,35=1;
49,36=1;
49,37=1;
49,38=1;
49,39=1;
49,40=2;
49,41=1;
49,42=1;
49,43=1;
49,44=1;
49,45=1;
49,46=1;
49,47=1;
49,48=1;
49,49=1;
49,50=1;
49,51=1;
49,52=1;
49,53=1;
49,54=1;
49,55=1;
49,56=1;
49,57=1;
49,58=5;
49,59=5;
49,60=5;
49,61=5;
49,62=5;
49,63=5;
50,0=1;
50,1=1;
50,2=1;
50,3=1;
50,4=1;
50,5=1;
50,6=1;
50,7=1;
50,8=1;
50,9=1;
50,10=1;
50,11=1;
50,12=1;
50,13=3;
50,14=3;
50,15=4;
50,16=4;
50,17=3;
50,18=3;
50,19=1;
50,20=1;
50,21=5;
50,22=5;
50,23=5;
50,24=5;
50,25=5;
50,26=5;
50,27=5;
50,28=5;
50,29=5;
50,30=5;
50,31=5;
50,32=1;
50,33=1;
50,34=1;
50,35=1;
50,36=1;
50,37=1;
50,38=1;
50,39=1;
50,40=2;
50,41=1;
50,42=1;
50,43=1;
50,44=1;
50,45=1;
50,46=1;
50,47=1;
50,48=1;
50,49=1;
50,50=1;
50,51=1;
50,52=1;
50,53=1;
50,54=1;
50,55=1;
50,56=1;
50,57=1;
50,58=1;
50,59=1;
50,60=1;
50,61=5;
50,62=5;
50,63=5;
51,0=1;
51,1=1;
51,2=1;
51,3=3;
51,4=3;
51,5=3;
51,6=3;
51,7=3;
51,8=3;
51,9=3;
51,10=1;
51,11=1;
51,12=3;
51,13=3;
51,14=4;
51,15=4;
51,16=3;
51,17=3;
51,18=1;
51,19=1;
51,20=5;
51,21=5;
51,22=5;
51,23=5;
51,24=5;
51,25=5;
51,26=5;
51,27=5;
51,28=5;
51,29=5;
51,30=5;
51,31=5;
51,32=5;
51,33=5;
51,34=5;
51,35=5;
51,36=1;
51,37=1;
51,38=1;
51,39=1;
51,40=2;
51,41=1;
51,42=1;
51,43=1;
51,44=1;
51,45=1;
51,46=1;
51,47=5;
51,48=5;
51,49=5;
51,50=5;
51,51=5;
51,52=5;
51,53=5;
51,54=1;
51,55=1;
51,56=1;
51,57=1;
51,58=1;
51,59=1;
51,60=1;
51,61=1;
51,62=5;
51,63=5;
52,0=3;
52,1=3;
52,2=3;
52,3=3;
52,4=4;
52,5=4;
52,6=4;
52,7=4;
52,8=4;
52,9=3;
52,10=3;
52,11=3;
52,12=3;
52,13=4;
52,14=4;
52,15=3;
52,16=3;
52,17=1;
52,18=1;
52,19=1;
52,20=5;
52,21=5;
52,22=5;
52,23=5;
52,24=5;
52,25=5;
52,26=5;
52,27=5;
52,28=5;
52,29=5;
52,30=5;
52,31=5;
52,32=5;
52,33=1;
52,34=5;
52,35=5;
52,36=1;
52,37=1;
52,38=1;
52,39=1;
52,40=2;
52,41=1;
52,42=1;
52,43=1;
52,44=1;
52,45=1;
52,46=1;
52,47=1;
52,48=5;
52,49=5;
52,50=5;
52,51=5;
52,52=5;
52,53=5;
52,54=5;
52,55=1;
52,56=1;
52,57=1;
52,58=1;
52,59=1;
52,60=1;
52,61=1;
52,62=1;
52,63=1;
53,0=4;
53,1=4;
53,2=4;
53,3=4;
53,4=4;
53,5=4;
53,6=4;
53,7=4;
53,8=4;
53,9=4;
53,10=4;
53,11=4;
53,12=4;
53,13=4;
53,14=3;
53,15=3;
53,16=1;
53,17=1;
53,18=5;
53,19=5;
53,20=5;
53,21=5;
53,22=5;
53,23=5;
53,24=5;
53,25=5;
53,26=5;
53,27=5;
53,28=5;
53,29=5;
53,30=5;
53,31=1;
53,32=5;
53,33=5;
53,34=5;
53,35=1;
53,36=5;
53,37=1;
53,38=1;
53,39=1;
53,40=2;
53,41=1;
53,42=1;
53,43=1;
53,44=1;
53,45=1;
53,46=1;
53,47=1;
53,48=5;
53,49=5;
53,50=5;
53,51=5;
53,52=5;
53,53=5;
53,54=5;
53,55=5;
53,56=5;
53,57=5;
53,58=1;
53,59=1;
53,60=1;
53,61=1;
53,62=1;
53,63=1;
54,0=4;
54,1=4;
54,2=4;
54,3=4;
54,4=4;
54,5=4;
54,6=4;
54,7=4;
54,8=4;
54,9=4;
54,10=4;
54,11=4;
54,12=4;
54,13=4;
54,14=3;
54,15=1;
54,16=1;
54,17=1;
54,18=5;
54,19=5;
54,20=5;
54,21=5;
54,22=5;
54,23=5;
54,24=5;
54,25=5;
54,26=5;
54,27=5;
54,28=1;
54,29=5;
54,30=5;
54,31=5;
54,32=5;
54,33=5;
54,34=5;
54,35=1;
54,36=5;
54,37=1;
54,38=1;
54,39=1;
54,40=2;
54,41=2;
54,42=1;
54,43=1;
54,44=1;
54,45=1;
54,46=1;
54,47=1;
54,48=5;
54,49=5;
54,50=5;
54,51=5;
54,52=5;
54,53=5;
54,54=5;
54,55=5;
54,56=5;
54,57=5;
54,58=5;
54,59=1;
54,60=1;
54,61=1;
54,62=1;
54,63=1;
55,0=4;
55,1=4;
55,2=4;
55,3=4;
55,4=4;
55,5=4;
55,6=4;
55,7=4;
55,8=4;
55,9=4;
55,10=4;
55,11=4;
55,12=4;
55,13=4;
55,14=3;
55,15=3;
55,16=1;
55,17=1;
55,18=5;
55,19=5;
55,20=5;
55,21=5;
55,22=5;
55,23=5;
55,24=5;
55,25=5;
55,26=5;
55,27=5;
55,28=5;
55,29=1;
55,30=5;
55,31=1;
55,32=5;
55,33=5;
55,34=5;
55,35=5;
55,36=1;
55,37=1;
55,38=1;
55,39=1;
55,40=1;
55,41=2;
55,42=2;
55,43=1;
55,44=1;
55,45=1;
55,46=1;
55,47=1;
55,48=1;
55,49=5;
55,50=5;
55,51=5;
55,52=5;
55,53=5;
55,54=5;
55,55=5;
55,56=5;
55,57=5;
55,58=5;
55,59=5;
55,60=1;
55,61=1;
55,62=1;
55,63=1;
56,0=4;
56,1=4;
56,2=3;
56,3=3;
56,4=3;
56,5=3;
56,6=3;
56,7=4;
56,8=4;
56,9=4;
56,10=4;
56,11=4;
56,12=4;
56,13=4;
56,14=4;
56,15=3;
56,16=3;
56,17=1;
56,18=1;
56,19=1;
56,20=5;
56,21=5;
56,22=5;
56,23=5;
56,24=5;
56,25=5;
56,26=1;
56,27=5;
56,28=5;
56,29=5;
56,30=5;
56,31=5;
56,32=5;
56,33=1;
56,34=5;
56,35=5;
56,36=5;
56,37=1;
56,38=1;
56,39=1;
56,40=1;
56,41=1;
56,42=2;
56,43=2;
56,44=1;
56,45=1;
56,46=1;
56,47=1;
56,48=1;
56,49=5;
56,50=5;
56,51=5;
56,52=5;
56,53=5;
56,54=5;
56,55=5;
56,56=5;
56,57=5;
56,58=5;
56,59=5;
56,60=1;
56,61=1;
56,62=1;
56,63=1;
57,0=3;
57,1=3;
57,2=3;
57,3=1;
57,4=1;
57,5=1;
57,6=3;
57,7=3;
57,8=3;
57,9=3;
57,10=4;
57,11=4;
57,12=4;
57,13=4;
57,14=4;
57,15=4;
57,16=3;
57,17=3;
57,18=1;
57,19=1;
57,20=5;
57,21=5;
57,22=1;
57,23=5;
57,24=5;
57,25=1;
57,26=5;
57,27=5;
57,28=5;
57,29=5;
57,30=1;
57,31=5;
57,32=5;
57,33=5;
57,34=1;
57,35=5;
57,36=5;
57,37=5;
57,38=1;
57,39=1;
57,40=1;
57,41=1;
57,42=1;
57,43=2;
57,44=1;
57,45=1;
57,46=1;
57,47=1;
57,48=1;
57,49=1;
57,50=5;
57,51=5;
57,52=5;
57,53=5;
57,54=5;
57,55=5;
57,56=5;
57,57=5;
57,58=5;
57,59=5;
57,60=5;
57,61=1;
57,62=1;
57,63=1;
58,0=1;
58,1=1;
58,2=1;
58,3=1;
58,4=1;
58,5=1;
58,6=1;
58,7=1;
58,8=1;
58,9=3;
58,10=3;
58,11=3;
58,12=4;
58,13=4;
58,14=4;
58,15=4;
58,16=4;
58,17=3;
58,18=1;
58,19=1;
58,20=1;
58,21=5;
58,22=5;
58,23=5;
58,24=5;
58,25=5;
58,26=5;
58,27=1;
58,28=5;
58,29=1;
58,30=5;
58,31=5;
58,32=5;
58,33=1;
58,34=1;
58,35=1;
58,36=5;
58,37=5;
58,38=1;
58,39=1;
58,40=1;
58,41=1;
58,42=1;
58,43=2;
58,44=1;
58,45=1;
58,46=1;
58,47=1;
58,48=1;
58,49=1;
58,50=1;
58,51=5;
58,52=5;
58,53=5;
58,54=5;
58,55=5;
58,56=5;
58,57=5;
58,58=5;
58,59=5;
58,60=5;
58,61=5;
58,62=1;
58,63=1;
59,0=1;
59,1=1;
59,2=5;
59,3=5;
59,4=5;
59,5=5;
59,6=5;
59,7=1;
59,8=1;
59,9=1;
59,10=1;
59,11=3;
59,12=3;
59,13=3;
59,14=4;
59,15=4;
59,16=4;
59,17=3;
59,18=3;
59,19=1;
59,20=1;
59,21=1;
59,22=1;
59,23=1;
59,24=1;
59,25=1;
59,26=1;
59,27=1;
59,28=5;
59,29=5;
59,30=5;
59,31=1;
59,32=5;
59,33=5;
59,34=5;
59,35=1;
59,36=5;
59,37=5;
59,38=1;
59,39=1;
59,40=1;
59,41=1;
59,42=1;
59,43=2;
59,44=1;
59,45=1;
59,46=1;
59,47=1;
59,48=1;
59,49=1;
59,50=1;
59,51=1;
59,52=1;
59,53=5;
59,54=5;
59,55=5;
59,56=5;
59,57=5;
59,58=5;
59,59=5;
59,60=5;
59,61=5;
59,62=1;
59,63=1;
60,0=1;
60,1=1;
60,2=5;
60,3=5;
60,4=5;
60,5=5;
60,6=5;
60,7=5;
60,8=5;
60,9=5;
60,10=1;
60,11=1;
60,12=1;
60,13=3;
60,14=3;
60,15=4;
60,16=4;
60,17=4;
60,18=3;
60,19=3;
60,20=1;
60,21=1;
60,22=1;
60,23=5;
60,24=5;
60,25=5;
60,26=5;
60,27=5;
60,28=5;
60,29=1;
60,30=5;
60,31=5;
60,32=5;
60,33=5;
60,34=5;
60,35=5;
60,36=1;
60,37=5;
60,38=1;
60,39=1;
60,40=1;
60,41=1;
60,42=1;
60,43=2;
60,44=1;
60,45=1;
60,46=1;
60,47=1;
60,48=1;
60,49=1;
60,50=1;
60,51=1;
60,52=1;
60,53=1;
60,54=1;
60,55=5;
60,56=5;
60,57=5;
60,58=5;
60,59=5;
60,60=5;
60,61=5;
60,62=1;
60,63=1;
61,0=1;
61,1=5;
61,2=5;
61,3=5;
61,4=5;
61,5=5;
61,6=5;
61,7=5;
61,8=5;
61,9=5;
61,10=5;
61,11=5;
61,12=1;
61,13=1;
61,14=3;
61,15=3;
61,16=4;
61,17=4;
61,18=4;
61,19=3;
61,20=3;
61,21=1;
61,22=1;
61,23=1;
61,24=5;
61,25=5;
61,26=1;
61,27=5;
61,28=5;
61,29=5;
61,30=1;
61,31=1;
61,32=5;
61,33=5;
61,34=1;
61,35=1;
61,36=1;
61,37=5;
61,38=1;
61,39=1;
61,40=1;
61,41=1;
61,42=1;
61,43=2;
61,44=1;
61,45=1;
61,46=1;
61,47=1;
61,48=1;
61,49=1;
61,50=1;
61,51=1;
61,52=1;
61,53=1;
61,54=1;
61,55=1;
61,56=1;
61,57=1;
61,58=1;
61,59=5;
61,60=5;
61,61=5;
61,62=1;
61,63=1;
62,0=1;
62,1=5;
62,2=5;
62,3=5;
62,4=5;
62,5=5;
62,6=5;
62,7=5;
62,8=5;
62,9=5;
62,10=5;
62,11=5;
62,12=1;
62,13=1;
62,14=1;
62,15=3;
62,16=4;
62,17=4;
62,18=4;
62,19=4;
62,20=3;
62,21=1;
62,22=1;
62,23=1;
62,24=1;
62,25=1;
62,26=1;
62,27=1;
62,28=5;
62,29=5;
62,30=1;
62,31=5;
62,32=1;
62,33=1;
62,34=1;
62,35=1;
62,36=1;
62,37=1;
62,38=1;
62,39=1;
62,40=1;
62,41=1;
62,42=1;
62,43=2;
62,44=2;
62,45=1;
62,46=1;
62,47=1;
62,48=1;
62,49=1;
62,50=1;
62,51=1;
62,52=1;
62,53=1;
62,54=1;
62,55=1;
62,56=1;
62,57=1;
62,58=1;
62,59=1;
62,60=1;
62,61=1;
62,62=1;
62,63=1;
63,0=1;
63,1=1;
63,2=1;
63,3=1;
63,4=1;
63,5=1;
63,6=1;
63,7=5;
63,8=5;
63,9=5;
63,10=5;
63,11=1;
63,12=1;
63,13=1;
63,14=1;
63,15=3;
63,16=3;
63,17=4;
63,18=4;
63,19=4;
63,20=3;
63,21=1;
63,22=1;
63,23=1;
63,24=1;
63,25=1;
63,26=1;
63,27=1;
63,28=1;
63,29=1;
63,30=1;
63,31=1;
63,32=1;
63,33=1;
63,34=1;
63,35=1;
63,36=1;
63,37=1;
63,38=1;
63,39=1;
63,40=1;
63,41=1;
63,42=1;
63,43=1;
63,44=2;
63,45=1;
63,46=1;
63,47=1;
63,48=1;
63,49=1;
63,50=1;
63,51=1;
63,52=1;
63,53=1;
63,54=1;
63,55=1;
63,56=1;
63,57=1;
63,58=1;
63,59=1;
63,60=1;
63,61=1;
63,62=1;
63,63=1;

I've also included here a picture of the complete map picture:

So how this works is I have a custom-made tileset and I give each tile a value. 1 is grass, 4 is water, and so on. Then these tile values (TileIDs or TileTypes) are saved along with their simplified tile position. To get the real x and y coordinates for the tiles you need to multiply the coordinates with the size of each individual tile. All the information necessary to convert map data into a real picture is provided in the map file.

Here's a picture of the map editor in action:

A red grid is drawn over the map but it is overwritten when you draw on it. Map sizes are specified by you. So a map can be as small as 128x128 pixels (or smaller) or as large as 2048x2048 pixels (or larger). Tilesizes are also specified by you. So you can have big fat tiles of 64 pixels (8x8) or something smaller like 16 (4x4). Personally I like a size of 32. That's what's also depicted above.

But the customisation would be a bit ordinary if you were stuck using the same tile art. Fortunately, you aren't. You're able to write your own tileset with which you can specify the ID for a tile, its name and its image file. A tileset file looks like this:

 template: name,id,filename

grass,1,grass.png;
dirt,2,dirt.png;
sand,3,sand.png;
water,4,water.png;
tree,5,tree.png;

Theoretically you can create as many tile types as you want. The image sizes don't matter; the editor attempts to scale them to the tile size specified for your map. Once your tileset file is complete it can be loaded into the editor. Below are a few screenshots of different tilesets I've created myself.

The artwork was made by nicubuno over at opengameart.org - a fantastic resource for hobby game developers. The art I chose to use from him is licensed under Public Domain. However the grass and water tiles were made by me. I also made a mars tileset for myself:

This is because my next big project is to create a Sci-Fi RTS game with a setting on Mars.

So there's the editor. It's extremely flexible because I made it with many different types of games in mind. I want to make an RTS with this and also an RPG at some point. I might change it at some point to allow for isometric maps, but this isn't a priority for me at the moment.