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Strategic problem solving

NCERT solutions for class 10 maths Chapter 8 Introduction to Trigonometry 4 Trigonometric Identities

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The 4 part series is on Introduction to trigonometry. This fourth and last part complements Exercise 4 of Chapter 8 of NCERT Class 10 Maths, in short, Ex 8.4 class 10. This session contains, concept explanation and problem solutions on Trigonometric Identities...

10 Digit number puzzle of John Conway with solution

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Find the 10 unique digit number having the special property that the number formed by digits from left to right up to the place for each of the 10 places is divisible by the place number—is a beautiful puzzle presented by John Conway. It is a large and complex puzzle but can be solved using only the basic concepts taught in middle schools…

Fourth level hard Sudoku puzzle 6, Strategies Techniques and Solution

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This is the 6th puzzle session at fourth level of hardness of very hard category. This is a very hard puzzle with multiple bottlenecks to overcome right from the start. Valid DS evaluation for empty cells needs to be done early but in selected cells and limited to 3 digit long DSs. Cross-scan of row, column and 9 cell square, Digit subset analysis, Single digit lockdown and advanced use of Cycles provide the main breakthroughs. Solution of each step with strategies and techniques adopted are explained fully ...

Fourth level hard Sudoku puzzle 5, Strategies Techniques and Solution

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This is the 5th puzzle session at fourth level of hardness of very hard category. This is a very hard puzzle with multiple bottlenecks to overcome right from the start. Valid DS evaluation for empty cells needs to be done early but in selected cells and limited to 3 digit long DSs. Cross-scan of row, column and 9 cell square, Digit subset analysis and advanced use of Cycles provide the main breakthroughs. Solution of each step with strategies and techniques adopted are explained fully ...

Fourth level hard Sudoku puzzle 4, Strategies Techniques and Solution

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This is the 4th puzzle session at fourth level of hardness of very hard category. This is found to be really a very hard puzzle with multiple bottlenecks to overcome right from the start. Valid Digit subset evaluation to a large extent needed to be done very early that indicates the hardness of the puzzle. Digit subset analysis, Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. A new structure of multiple parallel scans is discovered and converted to a new technique for the first time. Solution of each step with strategies and techniques adopted explained fully ...

Fourth level very hard Sudoku puzzle 3, Strategies Techniques and Solution

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This is the 3rd puzzle session at fourth level of hardness that is placed in very hard category. This is found to be really a very hard puzzle with multiple bottlenecks to overcome right from the start. Valid Digit subset evaluation to a large extent needed to be done very early that indicates the hardness of the puzzle. Digit subset analysis, Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. A new structure of chained single digit locks is discovered and converted to a new technique first time. Solution of each step with strategies and techniques adopted explained fully ...

Hard fourth level Sudoku puzzle 2, Strategies Techniques and Solution

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This is the 2nd puzzle session at fourth level of hardness that is placed in very hard category. As expected, this is found to be a difficult puzzle with multiple bottlenecks to overcome even at late stages. Digit subset analysis, Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. Solution of each step is explained fully with strategies and techniques adopted...

Hard fourth level Sudoku puzzle 1, Strategies Techniques and Solution

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This is the 1st puzzle session at fourth level of hardness that is supposed to be very hard. As expected, this is found to be a difficult puzzle with multiple bottlenecks to overcome even at late stages. Digit subset analysis, Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. Solution of each step is explained fully...

How to solve hard third level Sudoku puzzle 13

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This is the 13th puzzle session at third level of hardness. This is a difficult puzzle with multiple bottlenecks needed to be overcome and broken through. Digit subset analysis, 2, 3 and 4 cell Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. Solution of each step is explained fully...

How to solve hard third level Sudoku puzzle 12 quickly

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This is the 12th puzzle session at third level of hardness.The hardness of this puzzle arose primarily from the need to use Digit subset analysis and Cycle technique frequently for valid digit identification for a cell. Though the problem didn't pose a real hard bottleneck that needed special efforts to break though, for a large portion of solving process careful analysis was needed. Solution of each step explained fully...

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