The idea is: the player must complete the maximum amount of the 96 exits in the game without pressing A or B. Making a Tool-Assisted Speedrun is allowed and pretty much required in most levels (unless you're some god). Of course it's impossible to clear all of them, but the correct number of exits is still unknown.
Rules:
1) The buttons A and B are prohibited. You cannot press any of them, not even for a frame. You cannot either start the level with those buttons pressed.
2) You cannot start the level in a glitched state. For instance, you cannot start the level with an orb in the item reserve. However, you can start with Yoshi, with a cape and with a normal item in the inventory, even if you need to press A/B in previous levels.
Not discussed yet: the use of arbitrary code execution without pressing A or B on any joypad.
Table in progress: to add the difficulty and date.
TOTAL: 55 out of 96 exits, as of 2020/01/10.
3 possible (as in we cannot state impossibility)
1 hot 3 infeasible 38 impossible
infeasible
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impossible
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ATUDE allows only one jump. There's no item to manipulate and nothing to be done.
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2018/03/20
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impossible
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No Yoshi
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2016/09/20
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secret exit
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2016/09/20
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impossible
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No Yoshi
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secret exit
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impossible
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No Yoshi
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impossible
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You can't make it to the 2nd rotating platform. It's not possible to surpass the 1st rotating platforms without ATUDE.
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impossible
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No Yoshi, can't advance in the 2nd room.
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secret exit
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impossible
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No Yoshi, can't advance in the 2nd room.
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impossible
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No Yoshi
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secret exit
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2018/10/07
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impossible
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No Yoshi
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impossible
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You can't pass beyond the first vertical pipe. There's no way to use the stun glitch to help.
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impossible
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No Yoshi
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2018/10/11
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secret exit
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2018/10/11
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impossible
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todo...
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impossible
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You can't make ATUDE due ot the autoscroll. There're no interesting sprites early in the level.
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2018/03/12
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secret exit
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impossible
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You can't unmount Yoshi or grab the ropes.
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impossible
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No Yoshi
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secret exit
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secret exit
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secret exit
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impossible
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secret exit
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impossible
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secret exit
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impossible
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impossible
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impossible
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impossible
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impossible
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impossible
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impossible
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impossible*
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impossible
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impossible
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impossible
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impossible
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impossible
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hot!
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impossible
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does not count as an exit
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impossible
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impossible
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Everyone and SomeGuy712x
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November 1990
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impossible
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impossible
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impossible
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impossible
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2018/04/22
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infeasible
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impossible
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2018/10/03
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2020/01/07
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* SDS is almost possible, if only Yoshi could leave the floor at the beginning of the second room.