The Ideal Formula

Sync pairs with reward bonus
The Ideal Formula 世界を彩る数式 The Formula Coloring the World
Event notification image
Type	Story event
First run	December 24, 2020 to January 12, 2021
Rerun(s)	September 13 to 17, 2021 November 7 to 21, 2022
Featured sync pairs	N & Zekrom
1.6×	First/third runs only: N & Zekrom
1.4×	First/third runs only: Hilbert & Oshawott/Dewott/Samurott Hilda & Tepig/Pignite/Emboar Elesa & Zebstrika
1.2×	First/third runs only: Iris & Haxorus Scottie/Bettie & Pikachu Scottie/Bettie & Torchic

The Ideal Formula (Japanese: 世界を彩る数式 The Formula Coloring the World) was a story event in Pokémon Masters EX. It was focused on the sync pair N & Zekrom.

First run

The event first ran from December 24, 2020, to January 12, 2021. The "N Poké Fair Scout" gave players an increased chance of recruiting N & Zekrom from the beginning of the event to January 29, 2021.

In this run, players could earn Prize Coins from battles that could be used to draw items from a Prize Box pool. All battles could be challenged an unlimited number of times except Challenge N, which could only be challenged once per day. If the grand prize was drawn from the Prize Box, players could advance to the next prize pool. The grand prizes included area info for event story areas, Skill Spheres, 5★ Scout Tickets, Power-Up items, a Strike Move Candy Coin, and a Tech Move Candy Coin. Extra Prize Coins were automatically exchanged with coins once the event was finished.

The player could battle using N & Zekrom to obtain +0.6× bonus Prize Coins; Hilbert & Oshawott/Dewott/Samurott, Hilda & Tepig/Pignite/Emboar, or Elesa & Zebstrika to obtain +0.4× bonus Prize Coins; and Iris & Haxorus, Scottie/Bettie & Pikachu, or Scottie/Bettie & Torchic to obtain +0.2× bonus Prize Coins.

This event featured the Full-Force Battle, where players were challenged to defeat a large group of strong opponents. Similar to the Legendary Arena, players could use multiple teams with a limited number of total sync pairs, with the opponents' health carrying over between rounds and with previously used pairs unable to be used again until the challenge is reset. Medals could be earned by completing specific missions.

In addition, players could earn a medal for completing all the story areas in the event.

Second run

The event reran from September 13 to 17, 2021 as a part of the Two-Year Anniversary Rerun Event. This run only contained the story areas and the battles between them; the Prize Box, Prize Coins, Challenge N, and Full-Force Battles did not return. In addition, no medals could be earned.

Third run

The event reran again from November 7 to 21, 2022. While there was no scout directly corresponding to the event, N & Zekrom were featured in the "Vol. 3: Monthly Poké Fair Scout" which lasted for all of November 2022.

In this run, everything functioned identically to the first run. The only difference was the grand prizes, which now included area info for event story areas, Power-Up items, 5★ Unova Scout Tickets, Skill Spheres, and a Support Move Candy Coin.

Plot

N and his Zekrom arrive on the island of Pasio, where he is sighted by Hilda, Cheren, and a Masked Man with a Zoroark. Hilbert, keen to meet N again, goes in search for him alongside Hilda, Cheren, and the player character.

Meanwhile, N is exploring the streets of Pasio where he meets Iris and Bianca. Iris, who is keen to show N around, leads the group to the Pasio arena. As Champion of Unova, Iris challenges N to a battle, noting that N had defeated Alder in the past. An intense battle follows between Iris's Haxorus and N's Zekrom. Following the battle, the three decide to look for Hilbert as N is also keen on meeting him on Pasio.

In the forests, Hilbert, Hilda, Cheren, and the player encounter Team Break who are intimidating a Youngster into stealing his Poochyena. When Hilbert challenges them, the leader of this group, the Masked Man with his Zoroark reveals that they have also captured the Youngster's little sister. Team Break makes a deal in releasing the little sister, in exchange for kidnapping the protagonists instead.

N, Iris, and Bianca, unable to find Hilbert, find out from PML staff that he has been captured by Team Break. With the help of the Youngster's Poochyena's sense of smell, the group find and apprehend Team Break at their hideout. However, the Masked Man reveals that capturing Hilbert had all been part of his ploy in attracting N to the hideout. The Masked Man, not a previous member of Team Plasma, notes that he reveres the views of Team Plasma and sees Pasio as a prison for Pokémon. He then asks N to become the king of Team Break. N however reveals that through his travels, he has seen the potential that can be found when people and Pokémon could be together. Refusing to back down, the group battle Team Break and succeed in defeating the Masked Man and his group.

Battles

Single player

Name	Difficulty	Trainer	Pokémon			Stamina	First-Time Rewards	Completion Rewards	Battle Rewards
Name	Difficulty	Trainer	Left	Middle	Right	Stamina	First-Time Rewards	Completion Rewards	Battle Rewards
Challenge Pasio's Trainers: Part 1	Normal	Collector Norris	Carracosta Weakness:	Kommo-o Weakness:	Crobat Weakness:	10	First/third run: Gems ×30 Second run: Gems ×100 4★ Level-Up Manual ×5 3-Pack Great Drink ++ Set ×10 3-Pack Drink ++ Set ×15 3-Pack Ultra Drink + Set ×20 3-Pack Great Drink + Set ×30 3-Pack Drink + Set ×40 3-Pack Ultra Drink Set ×50 3-Pack Great Drink Set ×60	200 coins First/third run: Prize Coins ×12	None
Challenge Pasio's Trainers: Part 2	Hard					15	First/third run: Gems ×30 Second run: Gems ×100 4★ Level-Up Manual ×5 3-Pack Great Drink ++ Set ×10 3-Pack Drink ++ Set ×15 3-Pack Ultra Drink + Set ×20 3-Pack Great Drink + Set ×30 3-Pack Drink + Set ×40 3-Pack Ultra Drink Set ×50 3-Pack Great Drink Set ×60	First run: 450 coins Prize Coins ×23 Third run: 400 coins Prize Coins ×20	None
Challenge Pasio's Trainers: Part 3	Very Hard					15	First/third run: Gems ×30 Second run: Gems ×100 4★ Level-Up Manual ×5 3-Pack Great Drink ++ Set ×10 3-Pack Drink ++ Set ×15 3-Pack Ultra Drink + Set ×20 3-Pack Great Drink + Set ×30 3-Pack Drink + Set ×40 3-Pack Ultra Drink Set ×50 3-Pack Great Drink Set ×60	1,000 coins First run: Prize Coins ×29 Third run: Prize Coins ×25	None
Challenge Pasio's Trainers: Part 4	Super Hard					20	First/third run: Gems ×30 Second run: Gems ×100 4★ Level-Up Manual ×5 3-Pack Great Drink ++ Set ×10 3-Pack Drink ++ Set ×15 3-Pack Ultra Drink + Set ×20 3-Pack Great Drink + Set ×30 3-Pack Drink + Set ×40 3-Pack Ultra Drink Set ×50 3-Pack Great Drink Set ×60	1,500 coins First run: Prize Coins ×50 Third run: Prize Coins ×40	None
Challenge N*	Ultra Hard	N	Pidgeot Weakness:	Zekrom Weakness:	Staraptor Weakness:	30	Gems ×30	2,000 coins First run: Prize Coins ×225 Third run: Prize Coins ×150	None
Full-Force Battle! Round 1*	Super Hard	Masked Man	Salamence Weakness: ↓ Garchomp Weakness: ↓ Sharpedo Weakness:	Aerodactyl Weakness: ↓ Kingdra Weakness: ↓ Kabutops Weakness:	Turtonator Weakness: ↓ Haxorus Weakness: ↓ Walrein Weakness:	—	Gems ×100 First run: 3★ Tech Move Candy Third run: 3★ Support Move Candy	None	None
Full-Force Battle! Round 2*	Ultra Hard	Masked Man				—	Gems ×100 4★ Strike Move Candy	None	None

Prize Box

December 24, 2020 to January 12, 2021

Prize Pool	Grand Prize
1	The King of Team Plasma
2	The Ones Who Bested Alder
3	N to the Rescue
4	A Gray World
5	No More Good-byes
6	×2
7
8	×2
9	×200
10	×2
11	×200
12	×2
13
14
15
16
17

November 7 to 21, 2022

Prize Pool	Grand Prize
1	The King of Team Plasma
2	The Ones Who Bested Alder
3	N to the Rescue
4	A Gray World
5	No More Good-byes
6	×3
7	×2
8	×3
9	×2
10	×3
11	×2
12	×200
13	×2
14
15

Gallery


Event banner (Initial run)

Event banner (Two-Year Anniversary Rerun)

Medal 1★ The Ideal Formula	Medal 2★ The Ideal Formula	Medal 3★ The Ideal Formula	Medal N-Describable Love	Artwork by mikko

Script

Pokémon Center

Name	Text
Hilbert	After all this time, I can finally see him again, here on Pasio...
Hilbert	There's a lot of stuff I need to say to N! Let's go look for him, <player>!

The Hero Arrives on Pasio

Name	Text
(Zekrom flies over Cheren while battling Team Break)
Cheren	Was that...Zekrom?! Then that means...
Masked Man	No way! HE came to Pasio?!
(Zekrom lands in a field)
???	So, this is where you wanted to bring us.
N	The artificial island of Pasio.
(Hilda looks from afar)
Hilda	Hey, is that...
(Transition to the Pokémon Center)
Hilbert	No way! Are you sure?!
Hilda	I'm positive! You've told me all about him, so I knew exactly who it was! The person I saw was definitely N!
Hilbert	Wow. So N is here on Pasio... I haven't seen him in so long.
Hilda	Hilbert... You really want to see him again, don't you. Why don't we go look for N? I'll show you where I saw him!
Hilbert	Yeah, let's go! Thanks! <player>, why don't you come with us, too? I wanna introduce you to my friend!

The King of Team Plasma

Name	Text
(Field)
Hilda	That's odd—he was just here earlier. I wonder where he went.
Cheren	Well, he never was the type to stay in one place for very long.
Hilbert	If you both saw him, then he was definitely here for sure!
Cheren	Yeah, but Team Break got away while I was distracted. I still have so much to learn.
Hilbert	Hey, I get it. This is N we're talking about, after all.
Hilda	You know, I've been wondering about this for a while now... but who exactly is this N guy, anyway? I mean, what's his deal?
Hilbert	Wait, you don't know, Hilda? Even after everything that happened in Unova?
Hilda	I-I just like to focus on battling—that's all! Besides, <player> also needs to know what's going on, right?
Cheren	Yes, I do!: Yes, that's probably for the best.
Hilbert	Who is N?: Yeah, we should bring you up to speed before we go meet him. This N we're searching for... He used to be the king of Team Plasma.
Hilda	Whoa! Team Plasma?! Even I know about them! They're that group who'd say stuff about how we need to liberate Pokémon from their human oppressors. But in reality, they were just a bunch of Pokémon-stealing jerks!
Hilbert	Yeah, we had a few run-ins with Team Plasma in the past. We also clashed with N a few times.
Cheren	But the real mastermind was Ghetsis. He was controlling everything for his own gain. After Ghetsis was apprehended, Team Plasma laid low for a while.
Hilbert	But N's feelings toward Pokémon—his beliefs...they were genuine.
Hilda	His beliefs?
Hilbert	He believed that Pokémon suffered because of misguided humans... So to change this messed-up world, he thought we needed to separate Pokémon and humans. All to help Pokémon, our friends...
Cheren	Ghetsis exploited N's beliefs, and we ended up battling each other. Looking back, I can't believe it even came to that. Even though we all cared about our Pokémon...we still had to fight.
Hilda	Hilbert, Cheren... N must have a really pure heart, huh?
Hilbert	But through our battles and travels, N's beliefs began to waver. He saw with his own eyes how Pokémon and humans can understand and help each other. And he made a real effort to try to understand how we felt. That's why N is a really important friend to me!
Hilda	A friend... I see! I'm still trying to process all this, but I think I get how you feel. Let's go find your friend so you can see him again!
Hilbert	Thanks!
Cheren	That said, N is really unpredictable. It might take a while to figure out where he is.
Hilbert	No matter how hard it is, we'll definitely find N. There's a lot of stuff I need to say to him!
Cheren	Like what?
Hilbert	Nothing major, but...something important. OK, let's head out and find N!
(Transition to N in town)
N	So this is Pasio... An artificial island where humans and Pokémon can coexist...
???	I knew it was you! Hey there, N!
(Bianca and Iris appear)
N	You two...

The Ones Who Bested Alder

Name	Text
Iris	C'mon, N! Over here!
N	Sure.
Iris	Jeez! Don't be such a Slowpoke! The sun's about to set, and we haven't even finished showing you around town!
Bianca	chuckle There's no rush, Iris. He did just get here, after all! Let us know if anything catches your eye, N. We'd be happy to give you a closer look.
N	Yes...thank you.
Iris	By the way, where's Zekrom? Is it in a Poké Ball right now?
N	No. It seems Zekrom is also very interested in Pasio.
(Zekrom flies over the town)
Bianca	Whoa! So that's Zekrom, huh? It's so cool!
Iris	Wow...a Legendary Dragon Pokémon... OK, I know where we should go next! Follow me!
Bianca	Wait for us, Iris!
N	... ... ...
(Transition to the arena)
Iris	This is the Pasio arena! It's normally used for Pokémon battles, but there aren't any matches happening today.
N	Pokémon battles...
Bianca	Iris, I'll go get us permission to use the arena!
Iris	Oh... Do you not like Pokémon battles, N?
N	No, it's not that...
(Zekrom appears)
Iris	Ah! Zekrom!
N	A Pokémon battle is a way for us to see what wonderful things others have to contribute. Accepting different ideas and different beings changes the world like a chemical reaction. Zekrom taught me that...
Iris	Different ideas? A chemical reaction? I don't really get all that, but I guess it means you don't hate Pokémon battles! Me, I love to battle! Oh? Yes, I know.
N	You people are very strange.
Iris	Hm? How so?
N	You know what I did in Unova, don't you? I was the king of Team Plasma. We fought the Gym Leaders and the Champion. We opposed everything you stood for. You have every reason to hate me. I don't see why you would be kind to me. So...why? Why are you being so welcoming?
Iris	Why not?
N	What do you mean?
Iris	You know, the former Champion of Unova, Alder, was really, really strong. But he lost to you, right?
N	... ... ...
Iris	Alder always used to say... the ones who change the world are always the ones who pursued their dreams. I think that's why you beat him! Because you've been pursuing your dream of making Pokémon happy!
N	Wha—
Iris	There's no way I could hate someone like that! And also... Zekrom is so calm around you. I know you can understand what Pokémon say, but I can tell what dragons are feeling!
N	... ... ... You're different from me, Iris.
Iris	Huh?
N	It's not just that you can understand the hearts of dragons. You also understand the hearts of people. With you as Champion, Unova will become a place where Pokémon can live peacefully.
Iris	N... Thanks! I'll do my best!
Bianca	Yoo-hoo, Iris! I got permission to use the arena!
Iris	Thanks, Bianca! N... Battle me! I've always wanted to battle you! You defeated Alder, after all!
N	Iris... Yes, I'd like that, too. I want to see the power of the current Unova Champion! I'll surpass you!
(Iris and N battle)
(Transition to sunset)
Iris	Phew... Boy, are you two strong!
N	You're strong, too, Iris. I wonder what would have happened if you had been the Champion I challenged back then.
Bianca	It's getting late. Let's head out, shall we?
Iris	Let's hang out again tomorrow! I'll bring Hilbert along, too!
N	Hilbert?! He's on Pasio, too?
Bianca	Come to think of it, he's been wanting to see you again for a while now! We probably should have invited him today.
Iris	Then I'll definitely bring him with me tomorrow!
N	I'm going to see him again...
(Transition to the forest)
Cheren	The sun's starting to set... Guess we couldn't find any clues to N's whereabouts.
Hilda	Let's keep searching for him.: Yeah! It's still too early to give up!
Cheren	Let's keep searching for him.: I understand how you both feel, but it's getting dark. Let's stop for today. Let's try again tomorrow.: Good idea. It'll be harder to find him when it's dark out, anyway.
Hilbert	Yeah. What a bummer, though.
Hilda	Hey, cheer up! We know he's here somewhere!
Cheren	Let's ask Bianca to help us tomorrow. I'm sure we'll find him if we do.
Hilbert	Good idea.
???	NOOO! Go away!
Cheren	What was that?!
Hilbert	It came from over there!
(Team Break attacking a Youngster)
Masked Man	Give us your Pokémon! It's for its own good!
Youngster	No! Poochyena's my friend!
Masked Man	Your "friend," huh? My Zoroark is strong! I've spent years raising it!
Hilbert	Hey, cut it out!
Cheren	If you're going to resort to force, you'll have to go through us.
Masked Man	Who are you? Hm? You...
Hilbert	Well? You gonna take us on or what?
Masked Man	Very well... We won't take this Pokémon. However! You're coming with us to our secret hideout!
Hilda	What in the world are you talking about? There's no way we're going with you.
Masked Man	Heh heh heh... Maybe this'll change your mind.
(Team Break holding a Preschooler hostage)
Preschooler	Waaah! Waaah! I want my big brother!
Hilda	That little girl!
Cheren	Tch! What a dirty trick.
Masked Man	Well? What're you gonna do?
Hilbert	Fine, let's go.
Masked Man	Heh heh... How very cooperative of you!
(The group leaves with Team Break)
Youngster	What do we do now?

N to the Rescue

Name	Text
(Beach)
N	This is a world created by humans...
Bianca	Heeeey, N!
N	Good morning, Bianca, Iris. Oh? Hilbert's not with you?
Iris	It's really weird—for some reason, we can't get ahold of him!
Bianca	And not just him! Cheren and Hilda, too! It's not like them at all. I hope nothing bad has happened...
???	Pardon me!
(A Pokémon Ranger appears with the Preschooler and Youngster)
Pokémon Ranger	I'm with PML staff. Do you have a moment to answer a few questions?
(Screen fades to black, then back)
Bianca	That's them! It's Hilbert and our friends!
Iris	They were kidnapped by Team Break?!
Youngster	They did it to save us...
Preschooler	Waaaah! I'm soweeee!
Bianca	I-it's OK. Don't cry. Hilbert and the others will be OK.
Iris	I wanna go help them...but we don't know where they went...
(The Youngster's Poochyena barks)
N	Really?
Bianca	What is it, N?
N	... ... ...
(Transition to the player's group in the Team Break hideout)
Cheren	It's been a while since they brought us here, but we still have no idea what Team Break is up to.
Hilbert	Yeah. I can't believe they're just keeping us locked up here.
Cheren	What in the world are they thinking?: No idea. That's why it's so creepy.
Hilbert	What if they never let us go?: No way! We'll find a way out of here—don't you worry!
Cheren	Focus on staying calm. That way, we can be prepared to deal with whatever they try to do.
Hilda	Argh! I can't take it anymore! Hey! Team Break! Come out and face us!
Hilbert	Shhh, Hilda!
Masked Man (1)	Well, aren't you a feisty one? Sorry, but we're in the middle of preparing a grand welcome for N.
Hilbert	N?! What's he got to do with this?
Masked Man (1)	If you're here, N will surely come. You're the reason Team Plasma fell from grace... I'm just using you so I can achieve my dream!
(Tremor)
Masked Man (1)	What's going on?! Why is the ground shaking?!
Masked Man (2)	Sir, we have a problem!
(Transition to Bianca and Iris battling Team Break)
Iris	Go get 'em, Haxorus!
Bianca	Help us out, Musharna!
Masked Man (3)	How did they find our secret hideout?!
???	This little one remembered your scent and led us right to you.
(N appears with the Youngster and his Poochyena)
N	I'm here to rescue my friends! No matter what!
Hilbert	N!
N	Hilbert...
Bianca	Are you all OK?!
Iris	Hold tight! We'll get you out of this!
Masked Man (1)	I-it's really you...<be>I've dreamed of meeting you, N. Your Majesty!
Iris	Wha—?
N	... ... ...

A Gray World

Name	Text
(Team Break lets go of the player's group)
Hilda	I'm glad we're getting out of this mess, but...
Hilbert	N, do you know this guy?
N	No. At least...I don't think so...
Masked Man	Of course you wouldn't know me. I'm not from Unova. But I believe wholeheartedly in your dream!
Cheren	N's dream?
Masked Man	Have you had a chance to walk the streets of Pasio, Your Majesty?
N	Yes.
Masked Man	Wasn't it just awful? "A paradise where humans and Pokémon coexist." That's supposedly the concept of this island. But nothing could be further from the truth! This place is nothing but a glorified prison for Pokémon...
N	Pasio is...a prison?
Hilda	That's nonsense! You don't know what you're talking about!
Masked Man	Nonsense, you say? Think about it! Pokémon are trapped on this island and have their freedom taken away! It's no different from the oppression of a Poké Ball! And they're forced to battle each other in that ridiculous PML tournament! Even Pokémon who don't want to battle are forced to do so against their will! This island is nothing but a false utopia, created by egotistical humans!
N	... ... ...
Bianca	That's not what Pasio is!
Cheren	And where do you get off lecturing us after all the bad things Team Break has done?
Masked Man	Yes, I agree. Team Break is the worst. They selfishly use Pokémon for their own desires. However, they do have power. And I wanted to use that power to save Pokémon! But I wasn't strong enough... Your Majesty! Please, help me save the Pokémon! Become the king of Team Break!
Iris	The king of Team Break?!
Hilbert	N...
Masked Man	We're nothing like Ghetsis! We really want to save Pokémon! We want to change this gray world, where black and white—people and Pokémon—have been mixed together instead of kept separate... So please! Lend us your strength!
N	... ... ...
Masked Man	Your Majesty!
N	I have traveled the world and seen much of it... No matter where I went, the relationship between people and Pokémon was the same. What did you call it? Ah yes, a gray world.
Masked Man	Exactly! That's what we need to change!
N	However... That's how you see the world. It's not what I see.
Masked Man	Wha—
N	This world isn't gray at all. You only see it that way because you're not trying to see the truth! I've seen with my own eyes people and Pokémon coexisting. I saw it here on this paradise island called Pasio!
Masked Man	Your Majesty...
N	Pokémon can unleash their true power by being with people. And people can discover their true potential by being with Pokémon. Instead of separating black and white, we must accept it. That's what I learned from my travels around the world! The formula that makes up this world!
Hilbert	N...
Masked Man	Your Majesty, no... It can't be... Even if Team Plasma has changed, I didn't want to believe that you've changed, too. Fine. I'll do it myself. I will be the successor of your old dream! Right after I take you down!
(Team Break reinforcements appear)
Cheren	After all that talk, you're just going to resort to brute force?
Hilda	We'll handle these ones back here! N, Hilbert—you guys take him down!
Hilbert	Yeah! C'mon, N!
N	Yeah! We'll protect the dreams of everyone here!

No More Good-byes

Name	Text
(Bianca, Cheren, Hilda, Iris, and the player battle and defeat Team Break)
Hilbert	Now's your chance, N!
N	Let's do it, Hilbert!
(Hilbert and N battle and defeat the masked man)
Masked Man	Argh! Why are you so strong?
Hilbert	It's over. Just surrender already.
Masked Man	I don't want to, but...fine. There's no way I can win here. But I haven't given up! I'll be back to make your old dream a reality!
N	... ... ...
Hilbert	N!
N	This is why we shouldn't separate people and Pokémon.
Masked Man	What?!
N	Your friend loves you. It says it wants to be with you forever. That's why it battled us with everything it had. If you make your dream a reality, you'll be separated forever. And yet, your friend still fought its hardest for you...
Masked Man	Zoroark...
N	Instead of listening to the things I said in the past, maybe you should listen more to your friend here. Your Pokémon has so much love for you.
Masked Man	... ... ... Let's go, Zoroark.
(Transition to the beach at night)
Iris	I was really worried when I heard you'd been kidnapped, but I'm so glad you're all OK!
Bianca	Yeah! And we finally were able to get Hilbert and N together.
Cheren	Yes, I'm glad, too.
Hilda	Hm? What's wrong, Cheren?
Cheren	Did you wanna talk to N, too?: Yeah. I have my own history with him. Now that I'm a Gym Leader, I think I'd be able to approach our conversation from a different point of view. Are you worried about Hilbert?: Yeah. I'm just wondering what was so important that he had to tell N in person. I'd like to talk to N, too... but there's a proper order to this sort of thing, you know? So I'll let Hilbert go first.
N	Bianca told me you've been looking for me.
Hilbert	Yeah...
N	I thought about you a lot during my travels. Our run-ins, our battles, and... what you taught me. I wouldn't be the person I am today if it weren't for you.
Hilbert	N... Don't even sweat it! That's what friends are for, you know?
N	chuckle True... We are friends.
Hilbert	Speaking of which, there's something I've been wanting to talk to you about!
N	What is it?
Hilbert	Before you left to go on your journey... you told me I should make my dream come true—and that you believed I could do it... Then you just up and left after saying good-bye! I mean, what gives?! Give me a chance to respond, at least!
N	... ... ... Pfft! Ahahahaha! You've been looking for me all this time just to tell me that?
Hilbert	D-don't laugh! Maybe it's a little childish, but...
N	No, I'm sorry. That really was selfish of me, wasn't it. Let me make it up to you. I plan on staying on Pasio for a while, anyway. Instead of good-bye this time, maybe I should say... see you soon!

Trivia

The Ideal Formula was the first story event to receive two different reruns.

In other languages

Language		Title
Japanese		世界を彩る数式
Mandarin Chinese		世界的理想公式
French		L'équation parfaite
German		Die Formel für eine ideale Welt
Italian		La formula che dà colore
Korean		세계를 색칠하는 수식
Spanish		La fórmula para colorear