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Project Aether: Non-Linear Temporal Flow Optimization
Ⅰ. Description In the year 2450, you are the Chief Architect of the Neo-Elysium defense grid. You must manage energy distributi...

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The Omega Protocol: Hyper-dimensional Navigation and the Singularity Constraint
Description [EMERGENCY TRANSMISSION - GALACTIC COMMAND] Subject: Mission Omega-7 - Navigation through the K-94 Tesseract Anoma...

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Interstellar Navigation: Minimum Time with Moving Hazards
You are the pilot of a spaceship at the origin P_start = (0,0,0) at time t = 0. Your mission is to reach a space station located...

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The Quantum Knight's Tour on a Toroidal Hexagonal Board
In this challenge, you must navigate a knight on a Toroidal Hexagonal Grid of size The grid: We use the Axial Coordinate Syst...

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Find the sum of all the numbers of the input vector
Find the sum of all the numbers of the input vector x. Examples: Input x = [1 2 3 5] Output y is 11 Input x ...

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The Ultimate Water Challenge ( Expert )
Description: In the previous problems, you were given a target T and asked to find the minimum number of steps to reach it. ...

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Weighted Costs ( Hard )
Different actions have different monetary costs: Fill = $10 , Empty = $5 , Pour = $1 #Note: It's just an example Find the mini...

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Minimal Waste Pouring ( Hard )
Everytime you perform Empty action, water is wasted. Instead of minimizing steps, find the path that minimizes the total volume ...

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Record the Actions ( Medium )
Find the minimum steps to get T units from jugs A and B. Return the sequence of actions as cell array of strings. Available act...

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The Broken Jug: Constrain ( Hard )
One of your jugs is "broken": it can not be Emptied to the drain. It can only be Filled or Poured to another jug. Input: C, T, ...

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The Classic 8-5-3 Sharing ( Medium )
You have 3 jugs with capacities [8,5,3]. The 8L jug, the others are empty: [8,0,0]. There is no tap and no drain. You can only p...

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Total Volume Goal ( Medium )
Usually, the target T must be in one jug. In this version, the target T is the sum of water in all N jugs. Example: C = [3,5], ...

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Two Jugs: Minimum Steps ( Medium )
Following the first problem, now you need to find the shortest path. Given two jugs with capacities A and B, find the minimum nu...

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Is it Possible? ( Easy )
In the first part of series, we simplify the problem. Given two jugs with capacities A and B, and a target amount T, determine i...

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The Generalized N-Jug Water Pouring Problem ( Hard )
Description: You are given N water jugs with maximum capacities specified in a vector C = [ c1, c2, c3,.., c_n]. Initially, all...

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