your query is: # sudoku solver next step

Sudoku Solver - Solve Your Puzzles Step by Step

sudoku9x9.comThis free online Sudoku solver can solve any valid Sudoku puzzles with a smart option to show the rationale of each step - a good way to learn the solving ...

Sudoku Solutions - Solver And Helper | Play Thousands Of ...

www.sudoku-solutions.comSolves any valid sudoku puzzle. Helps you to improve your solving skills and practice solving strategies. Offers thousands of free graded puzzles.

Sudoku Solver - with Step by Step - Online Resolver - dCode.fr

www.dcode.frTool/Solver to resolve sudoku/wordoku grids (directly or step by step). The aim of the sudoku game is to fill the rows and columns of a 9x9 grid with each ...

Sudoku Solver by Andrew Stuart - SudokuWiki.org

www.sudokuwiki.orgShows the logic behind solving Sudoku square by square. ... are displayed Take Step will step through other tests and then loop until it can go no further.

Sudoku Helper - by John Ironmonger. Shows step by step how ...

sudoku.ironmonger.comShows step by step how to solve Sudoku puzzles and documents strategies and solving techniques. Provides puzzles for practice and amusement.

Sudoku Solver

sudokusolver.appYou can also solve sudokus by yourself with help of the solver. Type your puzzle below, click on the button "Hint!" and get a hint of the next step with an ...

Sudoku Solver - Solve Any Sudoku Puzzle Online Instantly

anysudokusolver.comAnySudokuSolver is an Online automatic Sudoku Solver. ... You can use Anysudosolver to get its solution instantly and move further. Do not use this sudoku ...

Sudoku Solver - AfterAcademy

afteracademy.comIf any of the constraints fail, abandon that solution by backtracking to the previous state and repeat step 2 with the next number. Otherwise, ...

Sudoku Solving Techniques - Kristanix Games

www.kristanix.comTips on Solving Sudoku Puzzles - Sudoku Solving Techniques ... In this puzzle, this means 1 becomes sole candidate in the second row; 2 becomes sole ...

Solving Every Sudoku Puzzle - Peter Norvig

norvig.comNow that we have squares, units, and peers, the next step is to define the Sudoku playing grid. Actually we need two representations: First, ...

Free Sudoku Solver - SudokuSolver.net

sudokusolver.netSolve any Sudoku 9x9 Puzzle no matter how complicated or the difficulty level! Just type in the numbers on the 9x9 Sudoku grid and press solve.

Solve Sudoku (Without Even Thinking!) : 10 Steps (with Pictures)

www.instructables.comSolve Sudoku (Without Even Thinking!) · Step 1: What You Need to Begin · Step 2: Fill in the "Missing Grid" · Step 3: Erase "Across" · Step 4: Erase Down · Step 5: ...

How to Solve a Sudoku - wikiHow

www.wikihow.comSudoku Solver in Python - AskPython

www.askpython.comSteps to solve the sudoku puzzle in Python ... Next we will check if the column value becomes 9 then we move to the next row and column. Further now we see ...

Sudoku solving algorithms - Wikipedia

en.wikipedia.orgThere are several computer algorithms that will solve 9×9 puzzles (n=9) in fractions of a second, but combinatorial explosion occurs as n increases, creating ...

5 best sudoku solvers for Android

www.androidauthority.comA good sudoku solver helps a lot. You can double check your work to make sure you made no mistakes. Alternatively, it can help you solve a tough puzzle so ...

raphael-kahler/SudokuSolver: Apply common sudoku solving ...

github.comApply common sudoku solving techniques to find the next step in a sudoku. - GitHub - raphael-kahler/SudokuSolver: Apply common sudoku solving techniques to ...

What should be used to solve the next step of this sudoku puzzle

puzzling.stackexchange.comUsing the solver at http://www.sudoku-solutions.com/ (exact puzzle here) it suggested the following steps. Rows are lettered A to I from the ...

Create a Sudoku Solver in Java | Baeldung

www.baeldung.comBuilding a Sudoku puzzle and an efficient algorithm used for solving it in Java. ... We are ready to move to the next stage now.

How to solve Sudoku with R | R-bloggers

www.r-bloggers.comStep 2) Make sure cell placement is valid. Next, we need a function that will check if a cell placement is valid. In other words, if we try ...

Python Programming Challenge 11: Sudoku Solver in Python

learncodingfast.comMove on to the next empty cell and repeat Step 2 for that cell. Keep repeating until we encounter a cell ...

Sudoku Solver in Python - Lior Sinai

liorsinai.github.ioHer code however cannot solve hard puzzles because it only follows a simple constraint propagation strategy. The second article is by Peter ...

Sudoku Tips : Learn How To Solve Sudoku Puzzles

www.sudokuessentials.comIllustrative Sudoku tips teach you how to solve difficult Sudoku puzzles and games. Learn techniques that will make you a ... Now for my next Sudoku tip.

Sudoku Solver | SolveMySudoku.com

solvemysudoku.comThe fastest online sudoku puzzle solver. Enter your puzzle and have the solution instantly.

Sudoku techniques - Conceptis Puzzles

www.conceptispuzzles.comThe scanning technique is also very useful for hard puzzles up to the point where no further progress can be made and more advanced solving techniques are ...

Sudoku Solver by Logic

www.anderbok.comA Sudoku Solver that tries to solve Sudokus by logic only. ... The answers appear in the Solution Grid. Step-by-step solving: See how the logic works.

Smart Sudoku Solver - Stacks are the Stanford

stacks.stanford.eduOur algorithm is designed specifically to solve a Sudoku puzzle containing a 9x9 grid of numbers. ... The next step in our algorithm is identifying the four.

Solving Sudoku with MATLAB - MathWorks

www.mathworks.comThe Sudoku-Solving Algorithm. Our MATLAB program involves just four steps: 1. Fill in all singletons. 2. Exit if a cell has ...

Mensa® Guide to Solving Sudoku: Hundreds of Puzzles Plus ...

www.amazon.comThis was just what I needed to take me to the next steps in solving Sudoku puzzles since it gives more information, more examples, more drawings than other ...

Solve Sudoku using Linear Programming (Python — PuLP)

towardsdatascience.comAs you will see in the next section, this is ensured with a constraint. Step 4: Set the Constraints. Generic constraints for Sudoku. The rules for Sudoku need ...

Sudoku Solver in C++ - Tutorialspoint

www.tutorialspoint.comSuppose we have a Sudoku grid and we have to solve this famous number maze problem, ... for each row r in boxStartRow to next 3 rows, do.

Solving Sudoku Puzzles with Rewriting Rules - ScienceDirect

www.sciencedirect.comThe aim of the sudoku puzzle (also known as number place in the United States) is to enter a numeral from ... (Step by step solver, with hints at each step).

Hands-on Project: Sudoku Solver | CommonLounge

www.commonlounge.comSince you are going to be writing a C++ program to solve Sudoku, ... such that there is no clash, then we move on to placing the next queen.

Recursive Sudoku solver almost working but getting stack ...

stackoverflow.comFor a completely empty board, for example, each position on the sudoku board would contain all values 1-9. From this, we then make the next logical step:.

Augmented Reality Sudoku Solver: Solving Puzzle using ...

medium.comWe then recursively call the same function again with the existing partial solution to move further. This recursive calling proceeds until the ...

A Sudoku solver using Python - One Step! Code

onestepcode.comImplementing a recursive Sudoku solver in Python. ... Next, the solver guesses one value and the process continues recursively until a valid ...

Sudoku Solver - Coding Helmet

www.codinghelmet.com... step more to try next candidate one level further up the line. In perspective, we hope to search all possibilities until final solution to the Sudoku is ...

Sudoku Solver, power of backtracking. - DEV Community

dev.toStep 3> Since not valid, move to the next number, pick 2. Repeat Step 2> check if its a valid row ? ✔️ column ? ✔️ grid ? ✔️. Simulating ...

Sudoku strategies

www.sudokudragon.comHow to solve Sudoku puzzles using the only choice; shared subgroup; twins and ... Looking at the second row (B) all the squares except the first one Ba have ...

Solved Write Standards of Augmented Reality Sudoku Solver

www.chegg.comCreating an automatic Sudoku puzzle solver with OpenCV is a 6-step process: Step 1: Input image containing Sudoku puzzle to our system is provided. Step 2: The ...

Sudoku Solver - Solve Your Puzzles Step by Step

sudoku9x9.comThis free online Sudoku solver can solve any valid Sudoku puzzles with a smart option to show the rationale of each step - a good way to learn the solving ...

Sudoku Solutions - Solver And Helper | Play Thousands Of ...

www.sudoku-solutions.comSolves any valid sudoku puzzle. Helps you to improve your solving skills and practice solving strategies. Offers thousands of free graded puzzles.

Sudoku Solver - with Step by Step - Online Resolver - dCode.fr

www.dcode.frTool/Solver to resolve sudoku/wordoku grids (directly or step by step). The aim of the sudoku game is to fill the rows and columns of a 9x9 grid with each ...

Sudoku Solver by Andrew Stuart - SudokuWiki.org

www.sudokuwiki.orgShows the logic behind solving Sudoku square by square. ... are displayed Take Step will step through other tests and then loop until it can go no further.

Sudoku Helper - by John Ironmonger. Shows step by step how ...

sudoku.ironmonger.comShows step by step how to solve Sudoku puzzles and documents strategies and solving techniques. Provides puzzles for practice and amusement.

Sudoku Solver

sudokusolver.appYou can also solve sudokus by yourself with help of the solver. Type your puzzle below, click on the button "Hint!" and get a hint of the next step with an ...

Sudoku Solver - Solve Any Sudoku Puzzle Online Instantly

anysudokusolver.comAnySudokuSolver is an Online automatic Sudoku Solver. ... You can use Anysudosolver to get its solution instantly and move further. Do not use this sudoku ...

Sudoku Solver - AfterAcademy

afteracademy.comIf any of the constraints fail, abandon that solution by backtracking to the previous state and repeat step 2 with the next number. Otherwise, ...

Sudoku Solving Techniques - Kristanix Games

www.kristanix.comTips on Solving Sudoku Puzzles - Sudoku Solving Techniques ... In this puzzle, this means 1 becomes sole candidate in the second row; 2 becomes sole ...

Solving Every Sudoku Puzzle - Peter Norvig

norvig.comNow that we have squares, units, and peers, the next step is to define the Sudoku playing grid. Actually we need two representations: First, ...

Free Sudoku Solver - SudokuSolver.net

sudokusolver.netSolve any Sudoku 9x9 Puzzle no matter how complicated or the difficulty level! Just type in the numbers on the 9x9 Sudoku grid and press solve.

Solve Sudoku (Without Even Thinking!) : 10 Steps (with Pictures)

www.instructables.comSolve Sudoku (Without Even Thinking!) · Step 1: What You Need to Begin · Step 2: Fill in the "Missing Grid" · Step 3: Erase "Across" · Step 4: Erase Down · Step 5: ...

How to Solve a Sudoku - wikiHow

www.wikihow.comSudoku Solver in Python - AskPython

www.askpython.comSteps to solve the sudoku puzzle in Python ... Next we will check if the column value becomes 9 then we move to the next row and column. Further now we see ...

Sudoku solving algorithms - Wikipedia

en.wikipedia.orgThere are several computer algorithms that will solve 9×9 puzzles (n=9) in fractions of a second, but combinatorial explosion occurs as n increases, creating ...

5 best sudoku solvers for Android

www.androidauthority.comA good sudoku solver helps a lot. You can double check your work to make sure you made no mistakes. Alternatively, it can help you solve a tough puzzle so ...

raphael-kahler/SudokuSolver: Apply common sudoku solving ...

github.comApply common sudoku solving techniques to find the next step in a sudoku. - GitHub - raphael-kahler/SudokuSolver: Apply common sudoku solving techniques to ...

What should be used to solve the next step of this sudoku puzzle

puzzling.stackexchange.comUsing the solver at http://www.sudoku-solutions.com/ (exact puzzle here) it suggested the following steps. Rows are lettered A to I from the ...

Create a Sudoku Solver in Java | Baeldung

www.baeldung.comBuilding a Sudoku puzzle and an efficient algorithm used for solving it in Java. ... We are ready to move to the next stage now.

How to solve Sudoku with R | R-bloggers

www.r-bloggers.comStep 2) Make sure cell placement is valid. Next, we need a function that will check if a cell placement is valid. In other words, if we try ...

Python Programming Challenge 11: Sudoku Solver in Python

learncodingfast.comMove on to the next empty cell and repeat Step 2 for that cell. Keep repeating until we encounter a cell ...

Sudoku Solver in Python - Lior Sinai

liorsinai.github.ioHer code however cannot solve hard puzzles because it only follows a simple constraint propagation strategy. The second article is by Peter ...

Sudoku Tips : Learn How To Solve Sudoku Puzzles

www.sudokuessentials.comIllustrative Sudoku tips teach you how to solve difficult Sudoku puzzles and games. Learn techniques that will make you a ... Now for my next Sudoku tip.

Sudoku Solver | SolveMySudoku.com

solvemysudoku.comThe fastest online sudoku puzzle solver. Enter your puzzle and have the solution instantly.

Sudoku techniques - Conceptis Puzzles

www.conceptispuzzles.comThe scanning technique is also very useful for hard puzzles up to the point where no further progress can be made and more advanced solving techniques are ...

Sudoku Solver by Logic

www.anderbok.comA Sudoku Solver that tries to solve Sudokus by logic only. ... The answers appear in the Solution Grid. Step-by-step solving: See how the logic works.

Smart Sudoku Solver - Stacks are the Stanford

stacks.stanford.eduOur algorithm is designed specifically to solve a Sudoku puzzle containing a 9x9 grid of numbers. ... The next step in our algorithm is identifying the four.

Solving Sudoku with MATLAB - MathWorks

www.mathworks.comThe Sudoku-Solving Algorithm. Our MATLAB program involves just four steps: 1. Fill in all singletons. 2. Exit if a cell has ...

Mensa® Guide to Solving Sudoku: Hundreds of Puzzles Plus ...

www.amazon.comThis was just what I needed to take me to the next steps in solving Sudoku puzzles since it gives more information, more examples, more drawings than other ...

Solve Sudoku using Linear Programming (Python — PuLP)

towardsdatascience.comAs you will see in the next section, this is ensured with a constraint. Step 4: Set the Constraints. Generic constraints for Sudoku. The rules for Sudoku need ...

Sudoku Solver in C++ - Tutorialspoint

www.tutorialspoint.comSuppose we have a Sudoku grid and we have to solve this famous number maze problem, ... for each row r in boxStartRow to next 3 rows, do.

Solving Sudoku Puzzles with Rewriting Rules - ScienceDirect

www.sciencedirect.comThe aim of the sudoku puzzle (also known as number place in the United States) is to enter a numeral from ... (Step by step solver, with hints at each step).

Hands-on Project: Sudoku Solver | CommonLounge

www.commonlounge.comSince you are going to be writing a C++ program to solve Sudoku, ... such that there is no clash, then we move on to placing the next queen.

Recursive Sudoku solver almost working but getting stack ...

stackoverflow.comFor a completely empty board, for example, each position on the sudoku board would contain all values 1-9. From this, we then make the next logical step:.

Augmented Reality Sudoku Solver: Solving Puzzle using ...

medium.comWe then recursively call the same function again with the existing partial solution to move further. This recursive calling proceeds until the ...

A Sudoku solver using Python - One Step! Code

onestepcode.comImplementing a recursive Sudoku solver in Python. ... Next, the solver guesses one value and the process continues recursively until a valid ...

Sudoku Solver - Coding Helmet

www.codinghelmet.com... step more to try next candidate one level further up the line. In perspective, we hope to search all possibilities until final solution to the Sudoku is ...

Sudoku Solver, power of backtracking. - DEV Community

dev.toStep 3> Since not valid, move to the next number, pick 2. Repeat Step 2> check if its a valid row ? ✔️ column ? ✔️ grid ? ✔️. Simulating ...

Sudoku strategies

www.sudokudragon.comHow to solve Sudoku puzzles using the only choice; shared subgroup; twins and ... Looking at the second row (B) all the squares except the first one Ba have ...

Solved Write Standards of Augmented Reality Sudoku Solver

www.chegg.comCreating an automatic Sudoku puzzle solver with OpenCV is a 6-step process: Step 1: Input image containing Sudoku puzzle to our system is provided. Step 2: The ...

Sudoku Solver - Solve Your Puzzles Step by Step

sudoku9x9.comThis free online Sudoku solver can solve any valid Sudoku puzzles with a smart option to show the rationale of each step - a good way to learn the solving ...

Sudoku Solver by Andrew Stuart - SudokuWiki.org

www.sudokuwiki.orgTake Step first displays the possibles or candidates for each unknown cell. These are the numbers that do not contradict any known or solved cells. Once these ...

Sudoku Solutions - Solver And Helper | Play Thousands Of ...

www.sudoku-solutions.comSolves any valid sudoku puzzle. Helps you to improve your solving skills and practice solving strategies. Offers thousands of free graded puzzles.

Sudoku Solver - with Step by Step - Online Resolver - dCode.fr

www.dcode.frTool/Solver to resolve sudoku/wordoku grids (directly or step by step). The aim of the sudoku game is to fill the rows and columns of a 9x9 grid with each ...

Sudoku Helper - by John Ironmonger. Shows step by step how ...

sudoku.ironmonger.comShows step by step how to solve Sudoku puzzles and documents strategies and solving techniques. Provides puzzles for practice and amusement.

Sudoku Solver

sudokusolver.appSudoku Solver - the site contains Sudoku Solver, a very useful application which is able to solve a sudoku step-by-step and give you an explanation of each ...

Sudoku Solving Techniques - Kristanix Games

www.kristanix.comTips on Solving Sudoku Puzzles - Sudoku Solving Techniques. One of the greatest aspects of Sudoku is that the game offers engaging challenges to both the novice ...

Solve Sudoku With These Step by Step Sudoku Solver Websites

www.ilovefreesoftware.comSome of these also have options to select the Sudoku solving strategies. You can see every step back and forth to understand the strategy behind ...

Sudoku Solver - Solve Any Sudoku Puzzle Online Instantly

anysudokusolver.comSolve any Sudoku Puzzles . AnySudokuSolver is an Online automatic Sudoku Solver. Just enter the digits in Sudoku board and get the solution instantly.

Solve Sudoku (Without Even Thinking!) : 10 Steps (with Pictures)

www.instructables.comSolve Sudoku (Without Even Thinking!) · Step 1: What You Need to Begin · Step 2: Fill in the "Missing Grid" · Step 3: Erase "Across" · Step 4: Erase Down · Step 5: ...

Sudoku Solver - AfterAcademy

afteracademy.comWe will now create a Sudoku solver using backtracking by encoding our problem, goal, and constraints in a step-by-step algorithm.

JavaScript step-by-step Sudoku solver and board generator

www.findbestopensource.comSudokuJS has a step by step solver that implements basic strategies, enough to solve (non evil) newspaper sudoku puzzles. The solver is built to mimic ...

Sudoku Tips : Learn How To Solve Sudoku Puzzles

www.sudokuessentials.comTry My Sudoku Tips And Become A Better Sudoku Solver! Would some Sudoku tips help you turn from an amateur to a professional puzzle solver? Use these Sudoku ...

Sudoku Solver

sudokuspoiler.azurewebsites.netUsage: Choose one of the Sudoku variants on the left. When you choose a Sudoku with movable cells, drag and drop these cells to match your puzzle first. Next ...

How to Solve a Sudoku - wikiHow

www.wikihow.comSudoku Solver - Step by Step APK Download - STEPrimo.com

steprimo.comSudoku Solver is free to use Step by Step solver for Sudoku puzzles with easy to use interface. It supports different Sudoku sizes and ...

Sudoku Step-By-Step Solver on the App Store

apps.apple.comSudoku Step-By-Step Solver shows you step-by-step instructions for solving even the most difficult of Sudoku puzzles. Learn by solving one of ...

Sudoku Solving Techniques › Customer reviews - Amazon.com

www.amazon.comAfter several tries over three days, I finally gave up and entered the cells I had solved into a step by step Sudoku solver. The Sudoku solver said it could ...

Hard Level - 27 Givens - Step-by-Step Solution - Web Sudoku

www.websudoku.comWith our step-by-step solutions, you can be confident that your readers will enjoy solving your Sudokus with pencil and paper, and will never be frustrated ...

How to Play Sudoku for Dummies – Every Rule Explained

masteringsudoku.comStep 1: Know the sudoku grid · Step 2: Know the rules · Step 3: Find squares that can only be one number · Step 4: Use the numbers you fill in to reveal more ...

Sudoku Solver 9x9 Recipes - TfRecipes

www.tfrecipes.comSudoku Solver 9x9 Recipes with ingredients,nutritions,instructions and related recipes.

Free Sudoku Solver - SudokuSolver.net

sudokusolver.netSolve any Sudoku 9x9 Puzzle no matter how complicated or the difficulty level! Just type in the numbers on the 9x9 Sudoku grid and press solve.

Sudoku Solver by Logic

www.anderbok.comA Sudoku Solver that tries to solve Sudokus by logic only. ... The answers appear in the Solution Grid. Step-by-step solving: See how the logic works.

How to solve a Sudoku solver step-by-step in JavaScript - Quora

www.quora.com1) start with an empty board · 2) add a random number at one of the free cells (the cell is chosen randomly, and the number is chosen randomly from the list of ...

Python Sudoku Solver w/ Backtracking - techwithtim.net

www.techwithtim.netThis tutorial will show you how to create a sudoku solver using python and the ... Backtracking is simply reverting back to the previous step or solution as ...

Solving Sudoku Puzzles with Rewriting Rules - ScienceDirect

www.sciencedirect.comThe aim of the sudoku puzzle (also known as number place in the United States) is to enter a numeral from ... (Step by step solver, with hints at each step).

5 best sudoku solvers for Android

www.androidauthority.comSudoku Expert is a mix between a sudoku solver, sudoku teacher, and a sudoku game. It contains over 5,000 puzzles natively within the app. However, it also ...

Essential Guide and Links to SuDoku Solvers and Aids

www.el.comSudoku Solver by Scanraid Ltd. Similar to SuDoku Assistant found The ... this site shows the step by step logic behind solving Sudoku square by square.

Creating Sudoku Solver with Python and Pyomo in Easy Steps

medium.comSolving one of the popular number placement puzzles in newspapers using constraint optimization. Classic 9x9 Sudoku Puzzle.

Sudoku Solver in Python - Lior Sinai

liorsinai.github.ioIt takes multiple steps of small eliminations before the puzzle can be solved. Meanwhile my solver takes only six guesses to solve it. Ultra- ...

Sudoku techniques - Conceptis Puzzles

www.conceptispuzzles.comThe easiest way starting a Sudoku puzzle is to scan rows and columns within each triple-box area, eliminating numbers or squares and finding situations where ...

Solving Sudoku with MATLAB - MathWorks

www.mathworks.comThe Sudoku-Solving Algorithm. Our MATLAB program involves just four steps: 1. Fill in all singletons. 2. Exit if a cell has no candidates.

OpenCV Sudoku Solver and OCR - PyImageSearch

www.pyimagesearch.comHow to solve Sudoku puzzles with OpenCV and OCR. Figure 1: Steps for building an OpenCV-based Sudoku puzzle solver that uses Optical Character ...

Sudoku Solver in Python - AskPython

www.askpython.comSteps to solve the sudoku puzzle in Python · In this method for solving the sudoku puzzle, first we assign the size of the 2D matrix to variable M (M*M). · Then ...

Sudoku Solver | SolveMySudoku.com

solvemysudoku.comThe fastest online sudoku puzzle solver. Enter your puzzle and have the solution instantly.

Python Programming Challenge 11: Sudoku Solver in Python

learncodingfast.comWhat is backtracking? Backtracking is a technique in programming where we build a solution step-by-step.

Sudoku Solver: A Brute Force Approach Using Python - Better ...

betterprogramming.pubConversion of Sudoku puzzle to an 81-digit string. Image by the author. Afterward, we can create the Sudoku Solver by following this three-step ...

Sudoku Solver - Step by Step - Apppage.net ⚡️

apppage.netSudoku Solver is free to use Step by Step solver for Sudoku puzzles with easy to use interface. It supports different Sudoku sizes and varieties.

Example Puzzles and Solutions

sandiway.arizona.eduSolved in 229 steps. This is Challenge 1 from Sudoku Solver by Logic. Under the default setting, the program gets to step 84 making liberal use ...

Sudoku for Beginners: How To Play (Step-By-Step), Rules ...

www.gamesver.comSudoku for Beginners: How To Play (Step-By-Step), Rules, Objective… · Only use the numbers 1 to 9, · Avoid trying to guess the solution to the puzzle, · Only use ...

Simple sudoku solver using backtracking. - GitHub

github.comsudokuSolverVisualSteps - GUI Step by Step Backtracking and Solution (requires Pygame). This might take quite a while so you can edit the FPS constant to adjust ...