Treasure Trails: Tower puzzle scroll
Overview
Deciding to embark upon a Treasure trail clue can take you minutes or hours to finish depending on the type of clue you get and your own abilities. Some will require you to venture into the Wilderness, so be prepared! Some will require you to search out specific items to equip. In the end, the lure of rare treasure has drawn many players to scout the lands of Runescape for that hidden casket containing untold wealth.
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If you've ever played Sudoku, this idea will be very familiar!
To change the numbers on a tower puzzle there are 2 ways. Using the left-click option will change the value by 1 increment each click. Right-clicking will give the option to select between incrementing the value as before or to directly select any number between 1-5.
- Each row and column must contain, in this case, the numbers 1 through 5.
- Rows may not repeat a number
- Columns may not repeat a number
- Think of each hint provided as the NUMBER of towers you can view by looking to the hint on the exact opposite end of the table.
To aid you in solving this puzzle, Jagex gives us hints for each row and column
(just like Sudoku solves a portion of the puzzle). That being said,
some of you may find this type of puzzle difficult to solve.
Here are some tips and tricks to help solve this puzzle.
Below is a sample puzzle. This is similar to how the puzzle will look when you start.
The main difference is we added a coordinate system below each box in the blue section,
this allows us to specify which box is being discussed as we describe how to solve the puzzle.

My best tip for starting to solve this puzzle is to begin by placing 5's by hints of 1. The reasoning behind this is that if you're standing on a tower of 1 and you only want to see one tower a maxed height will prevent all other towers from being seen. In the below image there is a 5 placed next to each of the hints of 1.

Next, we will finish entering the rest of the missing 5's and begin adding other numbers.
Just below (4,4) we can see we need 5 visible towers, this means it MUST ASCEND from bottom to top. We will fill in all 5 numbers 1-5 with number 1 at (4,4) and number 5 at (0,4). We will ALSO finish filling in the 5's.
We can see just above (0, 3) that we need 4 visible towers, so we will place the 5 four paces South (into 3,3).
This leaves the remaining position for a 5 in the (1,2) position, which is also intuitive because we only ever want to be able to see two towers (this means we can place ANY number in (0,2) and be fine.

No,w look at the hints again. Make sure all of the lowest are 2's at this point. If not go back and add a 5 next to the 1's. Now see if a "limiter" can be added as was just done with the 5's previously to ensure we only ever see 2 towers.
Position (4,0) is a ripe candidate for limiting, since it is next to a 2 two towers will be seen so place a 4 in that position. We now have 3 numbers filled in that row which means we can proceed with that row and try to finish it out. The number to the right of (4,4) is 3, at this point it can see the number 1 and number 5. We need to add 1 more tower but there are 2 towers left. If we add a 2 in (4,3) you will be able to see towers 1, 2, 3, and 5, which would be 4 so this can't be the answer. So (4,3) must be 3 and (4,2) must be 2. This means the (4, X) row is now complete.
Another prime position for a limiter is (3,0) we only want to see 3 positions in this row, and we've already used our 4 for this column, so we'll place a 3 there.
The (0,1) column needs to be limited to 2 towers. We have already used a five in (4,1) and if we put anything but a 4 in (0,1) we will see more than 2 towers so we're going to put a 4 in (0,1).
We want four visible spaces for the (0,3) column. There is a 5 in (3,3) so to get 4 visible towers in (0,3) we have to use a 1.
For (0,0) we have already used a 3, 4, and 5 in that column and a 4, 1, and 5 in that row so it must be a 2 since this is the only number not used in the row/column that it is in.
We need a view of three towers according to our hint right of (1,0) so we'll go with 1 there placing our remaining 2 in the (0,0) position
In (0,2) the only number not used in that row is a 3 so that is the answer for that box.
Our puzzle should now look like this:

In the column of (0,3,) we need four towers from (0,3) down. Thus (1,3) should be a 2 and (2,3) should be a 4.
The row of (1,1) now is only missing one number so (1,1) must be a 3.
Our hint below (4,2) wants a limit of three towers, which means (3,2) must be a 4.
The remaining 1 must go in (2,0).
So then (2,1) is going to be a 2 and (3,1) is going to be a 1.
SOLUTION:

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