The Magic of an Empty Grid

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Here's where you can try Mathemagics by Lithium-Ion: https://sudokupad.app/7BghrPt24L
Normal sudoku rules apply. Draw a one-cell wide loop that moves orthogonally through the center of cells and does not branch, intersect with itself or touch itself (neither orthogonally nor diagonally). The loop has to visit each box at least once. For each box, the maximum number of cells belonging to the loop is k, where k is the box number. Within each box, the box number has to be part of the loop. Boxes are numbered in normal reading order. Two orthogonally adjacent cells are only allowed to contain digits that sum to 7 or 10 if both cells are not part of the loop. The 24 cells that are enclosed by the loop have to contain two magic squares. A magic square is a 3x3 region containing the digits from 1 to 9 once each, where each row, column and diagonal must sum to the same value.

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Music: Tim McCaskey (Guitar) or Lucy Audrin (Piano): Mozart's Sonata no 16; and Mark’s outro music by Riffclown.
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Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships. We're also "cryptic crossword" aficionados. Mark is the twelve-time winner of The Times crossword championship and twice Senior World Champion in Sudoku, and Simon is the former record holder for most consecutive correct solutions to The Listener crossword. We hope we can help your puzzle solving while also introducing you to some of the world's best puzzles.

Thank you for watching!
Simon and Mark
▶ Contents ◀
0:00 Theme Music & News around the channel
3:03 Rules of today’s puzzle
4:20 Start Of Solve - Let's Get Cracking!