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Greetings.

What i'm to do today is propose an upgrade to the Intelligence section for the characters in No Game No Life. Specifically, I believe that the Ex-Machinas in this series should having Supergenius intelligence.

In the No Game No Life series, the Ex-Machinas are transcendental computers that are considered to be far beyond even Oracle Machines and Hypercomputers. They possess an incredible ability to learn and adapt infinitely, with infinite potential for growth and development:
Back in the Annex of the Shrine with eleven non-loli maid robots, transcendental computers far beyond oracle machines—scratch that, beyond hypercomputers—used their staggering power for purposes most pointless and analyzed the data without evident emotion.

Steph, Jibril…even Einzig listened up. In what kind of game could one possibly defeat computers that learned and adapted infinitely, that became stronger without bound—that left oracle machines behind?

The Ex-Machinas are capable of performing complex calculations at an astonishing rate, with the ability to execute even abstract calculations and illogical operations that approach infinite times per second:
Einzig acknowledged this inwardly: Of course. They’d run the calculations Rayo(3↑↑3) = Rayo(7625597484987) < Rayo(10^100) times.

The more they calculated, the more they accumulated an enormous amount of logical inconsistencies (errors), but even as they kept failing, they kept calculating. Abstract calculations. Even illogical calculations ── they kept adapting with a frequency that approached ∞ times per second over and over

As a race with infinite learning and adaptability abilities, they use their knowledge to develop their own devices. They are able to create a vast arsenal so that they can use magic, break the laws of physics, warping reality, destroying space, etc:
── No way. They destroyed the castle in an instant?

It wasn’t something that could be dismissed as them being crazy. It was simply impossible──!!

Due to the ten Pledges it should be impossible to destroy other people’s possessions without permission!

So── what trick did they use?──

Sora was pointedly glaring at the black group. As if to answer his question, the man in front of the group spoke:

“… Since it is only possible to ‘teleport’ to places one can see or to already known coordinates…”

Each time the group took a step, the rubble behind them distorted and disappeared. By the time they came close to Sora and the others, it was already as if nothing had happened in the first place,

“… we had to use ‘Spatial overwrite’… please forgive that impoliteness…”

When the space in front of the throne returned to normal, the group facing Sora and the others started to look like they had been simply walking together.

Schwi volatilized it—and in that instant, she disappeared from Jibril’s vision. Ultra-enriched spirits, given directionality and volatilized for ultra-rapid acceleration. The volatilized spirits coughed out blue masses of dead spirits, sowing pollution in their wake—as they shattered the bounds of physics. That was how Ex Machina, a race incapable of utilizing magic, managed to use “magic” through the brute-force employment of technology.

Furthermore, they are capable of manifesting a conceptual device “Suniaster” by destroying the core of planet using the Stalemartyr and converting the metaphysical energy “Spirit Circuits/Corridors” within it, which is the source of all creation in the world:
But this gave them one last move that could potentially earn a stalemate, gouging the planet and destroying the board in the process—hence Ex Machina’s name for it:
Stalemartyr.

Far taller than himself, Riku felt that stake start sucking up all the gods of heaven and earth—everything. A magnificent influx of power—at which point, the buried muzzle erupted in light. Seventy percent of the force that incinerated the continent and scorched the very planet. That power converged into a single-stripe beam and pierced the planet like a needle, penetrating its core and destroying the spirit corridors.

The planet’s crust obliterated, its core gutted, the source of the spirit corridors detonated. The unfathomable power that had been unleashed moments before seemed like the prick of a pin by comparison. The power that forged the world—sufficient to blow it away without a trace—was unleashed. As he was being consumed, Riku saw it.

“……Is……that it…?”

The Suniaster.

The Suniaster. The conceptual device that granted absolute rule—the vessel of omnipotence. All the power existing in the universe barely amounted to a drop that had slipped from this vessel. To Tet, who held free reign over it, neither time nor metaphysical causes held sway by now. Creation and destruction, the past and the future, observation and determination… All lay in his hands.

I strongly believe that the Ex-Machinas should be portrayed as possessing Supergenius intelligence.

This upgrade will affect:
Schwi (An Ex-Machina)
Sora and Shiro (Superior to Ex-Machinas)
Tet (Fundamentally above them all)
 
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I do think this qualifies for supergenius. Now, while one can look at the infinite calculations and simulations and conclude that it's straightforward that they should receive the rating, I actually would turn into their ability of doing something that should be impossible for them and solving the problem.

The fact that, through sheer science, they were able to tap into magic is the most impressive feat here. Now, this is described as being done through brute-force, which suggests they quite literally just trial and error it. It's literally something they couldn't calculate through their infinite intellect, they actually had to experiment to achieve it.

That just borders into the illogical, which makes sense for a race so vast.
 
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