GK1 Adytum

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Normal solution

Hints are given below when you expand the boxes.

Spoiler: Hint 1 (what to do) 
In this level, you'll quickly realise you need to close the ADYTUM bridge to find the exit. But all the blocks of ADYTUM are out of reach. So you'll need help getting access to them.
Spoiler: Hint 2 
You have access to a 1 block. How does that help you?
Spoiler: Hint 3 
The blockless Groldies are on the same floor height as the ADYTUM blocks.
Spoiler: Hint 4 
You can walk along the raised paths on the east and west sides of the level to enter the Groldies' lines of sight. They can't hurt you even if they have a 1 block because of all the metal railings between you and them. But if they did have a 1 block, and they threw it at you, then...
Spoiler: Hint 5 
Each Groldy in this level is in line with one of the ADYTUM blocks. If you smash and spawn the 1 block on one of their pads and make them throw it at you, the 1 will knock one of the ADYTUM blocks to the floor, so you can push it freely!
Spoiler: Hint 6 
In this level, you will need to make each Groldy throw the 1 block once, corresponding to each letter of ADYTUM. This will bring all the blocks into play so that you can spell ADYTUM.
Spoiler: Hint 7 (spelling ADYTUM) 
You need to find a good place to spell ADYTUM, since that will influence the order in which you get the Groldies to give you the blocks. Luckily, there's one clear and obvious place to write ADYTUM here.
Spoiler: Hint 8 
Put ADYTUM in the six-tile-deep dead-end at the south end of the level. Because you'll be putting the blocks in from the north, that means placing the M first, then the U, etc.
Spoiler: Hint 9 (working with the 1) 
The key to this level is getting the 1 where you want it. Keep an eye on the dotted line that shows up whenever you push the 1 - it will point to the blockpad that the 1 would appear on if you smashed it now, so it will help you track which Groldy might receive the 1 next.
Spoiler: Hint 10 
The grass squares in this level are placed to block a few routes. For example, the grass squares south of the A's blockpad almost completely divide the south half of the level in two. It's hard to get the 1 from one side to the other here if you're pushing it, whereas it's easier to push the 1 around the north side. Of course, there's an easier way to get the Y from east to west or west to east...
Spoiler: Hint 11 
You can always make the Groldies throw the 1 block as many times as you like. Even if a Groldy has already helped you get the block it was pointing towards, having it throw the 1 block again is an easy way to get the 1 to the other side of the level in a pinch.
Spoiler: Hint 12 (getting the 1 to the middle Groldies - how to do it) 
The hard parts of this level are getting the T and the Y, since the Groldies that can push these blocks to the floor are in the middle. Pushing the 1 north or south down the middle corridors of the level will only send it all the way north or all the way south, where it will target the corner Groldies instead of the middle Groldies. You need to figure out how to stop the 1 block about halfway along the north-south length of the level to get at the middle Groldies.
Spoiler: Hint 13 
The spokes come in handy here. They are the only obstacle that can stop the 1 in the middle of the level.
Spoiler: Hint 14 (getting the 1 to the middle Groldy on the west) 
Let's concentrate on the west half of the level. Say we want to get the 1 to the middle Groldy here (who's facing the T, by the way). What spoke will stop the 1 close enough to the middle Groldy to target them?
Spoiler: Hint 15 
The middle spoke needs to stop the 1. The northern and southern spokes are too close to their respective Groldies. How do we push the 1 into the middle spoke?
Spoiler: Hint 16 
The area where the western spokes are located is blocked by a grass square to the south. That means pushing the 1 in from the north. That in turn means rotating the northern spoke so that the 1 can travel south to the middle spoke. (You can test this from the beginning of the level; if you push the 1 west from where it starts, it'll bump into the little staircase near the egg, perfectly in line with the spokes.) Then you smash the 1 against the middle spoke, and presto, the middle-west Groldy should have the 1.
Spoiler: Hint 17 (getting the 1 to the middle Groldy on the east) 
The middle-east Groldy and the eastern set of spokes are dealt with in a similar way to the middle-west Groldy, just rotated 180 degrees (i.e. there's a grass square blocking the north entrance of the spoke area this time, so you push the 1 in north from the south entrance). However, there's a shortcut if you're getting the ADYTUM blocks collected in the right order...
Spoiler: Hint 18 
When the middle-west Groldy pushes the T out of the way, the 1 and T land next to the middle-east Groldy. Don't push the 1 north or south - smash it against the wall immediately! It's already close enough to the middle-east Groldy to respawn there, perfect for collecting the Y.
Spoiler: Hint 19 (full solution) 
This monster of a diagram shows the individual steps. (This might be a case where it's easier to follow the text than the pictures.)

Push the 1 east and smash it, respawning it by the northeast Groldy. Provoke the Groldy by walking on the raised path along the west wall of the level, so that when it throws the 1, it collides with the M, and both fall to the ground. Push the M south, east and south.

Push the 1 south and smash it, then provoke the Groldy with the 1 by walking along the raised path on the east wall to bring the U into play. Push the U south, west and south (spelling UM).

Rotate the northwestern spoke clockwise so that it points south. Push the 1 north, west, south, west and south (so it collides with the middle-western spoke), then smash it to give the 1 to the middle-western Groldy. Provoke that Groldy, and push the T south, west and south. Smash the 1 without pushing it to give it to the middle-eastern Groldy. Provoke that Groldy, and push the Y south, east and south.

Push the 1 north and smash it. Provoke the Groldy with the 1, and push the D south, west and south. Push the 1 south and smash it. Provoke the last Groldy and push the A south, east and south. Climb up over the ADYTUM bridge and to the exit.

Present solution

Spoiler: Hint 1 (present location) 
The present can be found near the exit (solve the level normally), across a SHAM bridge with a SHAME barrier.
Spoiler: Hint 2 
There's a 2 block you could use to remove the E in SHAME, leaving SHAM.
Spoiler: Hint 3 
You can't use the same trick as the floor below, because the 2 blockpad is one tile too far south to be in line with the E. How can you get the 2 in line with the E?
Spoiler: Hint 4 
Check the geometry to the south.
Spoiler: Hint 5 (solution) 
Make the Groldy chuck the 2 south, then push it around to take out the E of SHAME

Solve the level as normal to get to the top floor. Smash the 2, then get the Groldy to push the 2 south. From there, you can push it west, south, east, north to remove the E in SHAME. Collect the present.

Extras

Spoiler: Achievements 
There are 0 achievements available for this level.
Spoiler: View squares 
There are 1 view squares on this level:
  • Near the egg.
Spoiler: Hanging men 
There are 0 hanging men on this level.
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