Enovative Number Placement Sudoku Lecture Z

Hung-ping Tsao (2026). Enovative Number Placement Sudoku Lecture Z. In: "Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", Lawrence K. Wang and Hung-ping Tsao (editors). Volume 8, Number 6D, June 2026; 14 pages. Lenox Institute Press MA, USA. ..... ABSTRACT: Hard sudoku puzzles are usually designed for defying our logical reasonings, so we can counter with the Principle of Least Choice (PLC) by selecting the least likely one when facing the multiple choices of our next move. The harder the puzzle, the more often PLC is recommended to be used. Hard puzzles can sometimes be solved by the construction of strategic flipflops. The purpose of this lecture series is for you to have a new prospective in playing Sudoku. In addition to the introduction of efficient methods, we most importantly stress on the number placement aspect of Sudoku. We introduce innovative cross reference moves for solving flipflops and tripleflips. We introduce a feature of hidden trio display. We propose some situational patterns in Latin Squares. Readers can find more patterns to facilitate the solving process. We realize that the new key of spotting patterns can be used to solve all extreme Sudoku puzzles in Frank Longo's WAY BEYOND BLACK BELT SUDOKU. We conclude this series with the first two puzzles from Longo's and the hardest Sudoku posted online in 2012 by Arto Inkala, hoping to convince readers that this new key could be the last resort for solving extreme Sudoku. KEYWORDS: Number Placement, Sudoku, Rational Puzzle, Row move, Column move, Block move, Box move, Grid move, Terminating move, Rule of unique solution, Candidate, Principle of the Least Choice, Residue, Flipflops chain, Stratigic flipflops, Cross reference moves for flipflops and tripleflips, Hidden numbers bazaar, Hidden trio display, Patterns in Latin Squares, Extreme Sudoku.