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Steering Ratio Calculation
The steering ratio defines the relationship between steering wheel angle and road wheel angle. Given wheel angle δ and Steering...

6 months ago

Solved

Tire Slip Angle Calculation
Slip angle represents the angle between the direction a tire is pointing and the direction it is moving. Given Lateral velocity...

6 months ago

Solved

Yaw rate of the vehicle
Yaw rate defines how quickly a vehicle rotates about its vertical axis during motion. Given Vehicle speed v and Turning radius ...

6 months ago

Solved

Turning radius of a vehicle
The turning radius represents the radius of the circular path followed by a vehicle. Given Wheelbase L and Steering angle δ, Co...

6 months ago

Solved

Steering 101-Ackermann Steering Ratio
In a turning vehicle, inner and outer wheels follow different radii. Ackermann steering geometry ensures both wheels roll withou...

6 months ago

Solved

Mysterious digits operation (easy)
What is this digit operation? 0 -> 0 1 -> 9 121 -> 9 44 -> 6 15 -> 5 1243 -> 7 ...

7 months ago

Solved

love is an n-letter word
Given a list of *N words*, return the *N-letter word* (choosing one letter from each word) with the property of having the least...

7 months ago

Solved

Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

8 months ago

Solved

Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

8 months ago

Solved

Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

8 months ago

Solved

Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...

8 months ago

Solved

Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

8 months ago

Solved

Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

8 months ago

Solved

Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

8 months ago

Solved

Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: where: is the ...

8 months ago

Solved

State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

8 months ago

Solved

Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

8 months ago

Solved

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. ...

8 months ago

Solved

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

8 months ago

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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 ...

8 months ago

Solved

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...

8 months ago

Solved

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, ...

8 months ago

Solved

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...

8 months ago

Solved

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], ...

8 months ago

Solved

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...

8 months ago

Solved

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...

8 months ago

Solved

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...

8 months ago

Solved

[Master Regular Expression] Keyboard Row
Given an array of strings words, return the words that can be typed using letters of the alphabet on only one row of American ke...

8 months ago

Solved

Count the peaceful queens
In a 5x5 chessboard with a queen of one color (white, say) on the perimeter, one can place 12 black queens on the board such tha...

10 months ago

Solved

3D Plots and Colorbars
Use the matrices X, Y, and Z provided in the function template to create a surface plot. Add a colorbar to the surface plot and ...

10 months ago