# path-to-one: Cursed Labyrinth — Math Roguelike – Collatz Quest

> Math Roguelike – Collatz Quest (iPhone/iPad app by Fuji Bit Inc..)

- Source: https://appshunter.io/ios/app/path-to-one-cursed-labyrinth/id6760465850 (this page in markdown: same URL + `.md`)
- Developer: [Fuji Bit Inc.](https://appshunter.io/developer/1874205957)
- Category: Games, Card, Strategy
- Price: Free with in-app purchases
- Age rating: 12+
- Requires: iOS 17.0 · 44 MB
- Languages: American English, French (France), German (Germany), Hindi, Indonesian, Italian, Japanese, Korean, Brazilian Portuguese, Russian and 6 more
- Released: 2026-03-23
- Data updated: 2026-10-21

## What is path?

path-to-one is a math roguelike game based on the Collatz conjecture (3n+1 problem).

Choose a "cursed number" and navigate a dark labyrinth where every room is a mathematical challenge. Odd rooms are dangerous — the curse swells with 3n+1, dealing damage. Even rooms offer brief safety — divide by 2 and press on. Your goal: reach 1 to break the curse.

STRATEGIC COMBAT
Every odd room presents a choice: fight head-on (3n+1), take a detour (n+1) for a card, use spell cards, or flee. Each decision affects your curse chain — consecutive odd rooms amplify damage up to 2x. In even rooms, press on, rush ahead, or take a risky bet.

SPELL CARDS
Start with 6 single-use spell cards from 7 types. Halve your number, subtract from it, shield against damage, heal HP, peek ahead, accelerate through rooms, or purify to even. Duplicate cards upgrade to powerful enhanced versions.

7 ENEMY TIERS
From Cursed Slimes to the God of Ruin, each enemy tier brings unique abilities: Dark Fog negates foresight, Piercing cuts through shields, Despair triples erosion damage.

6 BUILDS AND 4 DIFFICULTY TIERS
Choose from Guardian, Accelerator, Sorcerer, Seer, Contractor, or the premium Overlord — each with unique starting hands and playstyles. Challenge Normal, Abyss, End, or Void difficulty for greater rewards.

WEEKLY CHALLENGE (OPTIONAL)
Every week, players worldwide take on the same cursed number under the same conditions (Guardian build, Normal difficulty) and compete with their best score of the week on "This Week's Ranking". Joining is consent-based: nothing is sent until you choose a nickname and tap "Agree and register". Link your Apple ID or Google account (optional) to carry your record and nickname over to a new device or a reinstall. You can delete your account and ranking records from within the app at any time (Weekly Challenge > "Account" > "Delete account").

WEEKLY CHAMPION REWARD
The week's #1 (on a tie, whoever reached that score first) chooses the cursed number for the week after next: any number from 100 to 9999 that takes at least 70 steps to reach 1. The choice can be changed until Sunday 23:55 (JST), and that week's screen shows the chooser's nickname.

DAILY CHALLENGE
A unique seeded number every day, one attempt per day. Clear it for 1.5x score and 2x Curse Marks.

DAILY REMINDER
On days you haven't played the Daily Challenge yet, a notification reminds you around 18:00. Permission is requested after your first finished run, and you can turn it off in your device settings at any time. The reminder is scheduled on your device; nothing is sent externally.

COMBO SYSTEM
Clear consecutive rooms without taking damage to build a streak. Up to 100 bonus points added to your final score.

DEEP PROGRESSION
- 19 achievements to unlock
- Grimoire tracks all enemies, cards, and events
- Curse Marks currency to unlock builds and difficulties
- Score ranking system (D through S rank)
- Adventure records to track your history
- 4 derived events unlock through repeated play

RANDOM EVENTS
Healing springs, curse traps, treasure chests, dark merchants — and their enhanced variants unlock after repeated encounters.

16 LANGUAGES
English, Japanese, Chinese (Simplified), Chinese (Traditional), Spanish, Portuguese (Brazil), Korean, German, French, Hindi, Indonesian, Russian, Italian, Turkish, Thai, and Vietnamese.

IN-APP PURCHASES (ONE-TIME)
The game is free to play. Three optional items are available, each a one-time purchase that stays unlocked. Use "Restore Purchases" on the title screen after a reinstall.
- Remove Ads: hides all ads
- Unlock Number Input: choose any starting number from 2 to 9999
- Overlord Build: unlocks the Overlord build, strong in offense and defense

ABOUT ADS
A banner is shown at the bottom of the screen and a full-screen ad after you tap a button on the result screen. You can change how ads are shown at any time from "Ad settings" on the title screen.

Can mathematics save you from the curse?

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| Overlord Build | $1.99 | one-time |


## Is path safe?

Not enough ratings yet to assess path.

## Is path legit?

path-to-one: Cursed Labyrinth appears legitimate, with a few gaps. The AppsHunter Legitimacy Score for path is 65 out of 100 points across 7 verification signals from App Store and developer data.


## Version history (last 5 releases)

### 4.0 — 2026-10-11

- New Weekly Challenge: everyone takes on the same cursed number each week and competes for the best score on "This Week's Ranking" (optional, consent-based)
- Weekly champion reward: the week's #1 (ties go to whoever reached the score first) chooses the cursed number for the week after next — 100 to 9999, taking at least 70 steps to reach 1, changeable until Sunday 23:55 (JST). That week's screen shows the chooser's nickname
- A reminder around 18:00 on days you haven't played the Daily Challenge (can be turned off in your device settings)
- Link your Apple ID or Google account to carry your ranking record to a new device
- Delete your account and ranking records from within the app
- Now available in 16 languages: English, Japanese, Chinese (Simplified/Traditional), Spanish, Portuguese, Korean, German, French, Hindi, Indonesian, Russian, Italian, Turkish, Thai, and Vietnamese
- Changed the ad network and added "Ad settings" to the title screen
- Quit a run partway through with the new "Quit" link (asks to confirm)
- "Restore Purchases" is now also on the title screen

### 3.2 — 2026-05-11

We have fixed the bug.

### 3.1 — 2026-05-10

- Full-screen background art on every screen (title, build select, number select, dungeon, events, rewards)
- Looping BGM during dungeon exploration
- Persistent BGM mute toggle on every screen — toggle on/off at any time
- Daily Challenge mode — one seeded run per day with 1.5x score and 2x currency bonus
- Combo system — bonus score for consecutive damage-free room clears (up to 100 points)
- First-launch tutorial via How to Play sheet
- Title screen layout restructured into 3 balanced vertical blocks (title / CTA / bottom links)
- Build select layout overhaul (chip wrap, expand only the selected build)
- Android adaptive icon support
- Android: fixed BGM init order to avoid IllegalStateException on some devices
- Fixed damage multiplier display bug
- Unified UI text colors for better readability

### 2.3 — 2026-04-21

We have fixed the bug.

### 2.2 — 2026-04-13

v2.2 — New Build & Balance Tuning!
• Overlord build added (premium) — Dominate with shields ×2, halve ×2, double step & heal
• Balance adjustments
  - Enhanced Decay Spell buffed: -5 → -10 reduction
  - Normal difficulty erosion increased (even rooms matter more)
  - Void difficulty curse acceleration slightly reduced (more strategic options)

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All apps by Fuji Bit Inc.: https://appshunter.io/developer/1874205957

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-10-21.*