Logic Masters Deutschland e.V.

IMO Sudoku

This puzzle was created for monthly prompt on CTC discord. We were about to create a puzzle by an art. This puzzle was inspired by the logo of IMO (International Mathematical Olympiad). As a mathematician I consider the IMO the art in math since it has the most beautiful, challenging and fun problems. I combined some information of IMO with the sudoku rules to make this puzzle. Given digits 1959 is the first IMO that was held. 64 clue on red line represent the 64th time IMO will be held this year on July. Because the contest is quite challenging (hot contest) decided to use the hot cell rules. Then decided to use famous lines in sudoku since they match with colors, Blue line as a Region Sum, Green line as German Whisper and Yellow line as a modular line. Black line was inspired by black dots which are in ratio 1:2. The following page is the official page of IMO where you can see the logo. IMO Page

Rules:

Normal sudoku rules apply. On each row, column and 3x3 box there is exactly 1 hot cell. Each hot cell has a value 1 higher than its digit (different hot cells can have same value). Each line has an even number of hot cells (if a line hasn't a hot cell at all it means there are even number of hot cells since it has 0 hot digits). Adjacent digits on the green line differ by at least 5 on their value.Yellow line is modular line (a modular line is if for each three consecutive digits their values along the yellow line should be exactly one from each of the set [1,4,7,10], [2,5,8], [3,6,9]). The sum of the digits of the values on the blue line is the same within each 3x3 box passes through. Adjacent digits in the black line are in ratio 1:2 in their values. The product of the digits of the values in the red line is 64.

CTC