Green kropke's difference can't be 8, as only one [19] may exist within a box Blue kropke's difference can't be 5 or more due to row 9 Hypothecate 6 and 4 differences. Box 9 must have a blue 1-5-9 sequence. The other blue cross is either an even-even or an odd-odd. If it's [26], and only the 2 can go on the green cross, with an 8. This forces [37] into the three corner cells. [26] is the same logic. If it's [37], [28]s are forced onto both green crosses, and r9c1's [46] can't be satisfied. => Blue kropke's difference is not 4. Therefore the differences can only be 7 and 3 Cells on green lines could now be marked [1289], but it's better to consider them as [AH] and [BI] pairs, as they all disambiguate between those two choices instantly once you've declared one of them. WLOG, r1c3 is [AH]. No colouring should be necessary. Blue crosses on [AH] cells connect to [DE] cells, and [BI] connects to [EF]. With both [DE]s gone, the other cross in row 5 must be [CF] or [FI], so it's [CFI]-[CF]. With both [BI]s gone, box 9 has [AG]-D-[AG] on the pair of blue crosses. => box 7's [AH] resolves A above H. => its other blue cross becomes a [CF] pair => its top row becomes a [DEG] triplet => r7c7 is F and r7c4 and r6c7 are C => r6c4 is F, r9c4 is E, r9c5 is F => row 4's sequence resolves D-A-H-E This permits you to completely fill box 8, almost all of box 9, and most of box 7. All that remains is the [DEG] triplet in box 7 and the [AG] pair in box 9. Also, all the [AH] pairs resolve. Column 1's pair of blue dots becomes H-E-B. The two blue crosses between boxes 4 and 7 now only permit [ADG] on them Sudoku places D in r1c6, and the blue dot a G in r1c5 And the rest is just a sudoku speed-run You'll soon drop a G into column 9 that will resolve C=3 in the corner Proof that once you've worked out it's the 7 & 3, that there's a unique solution: https://sigh.github.io/Interactive-Sudoku-Solver/?freeform-input=&q=.Binary%7EACgAAAAAAAIAC%7E_d7%7ER1C3%7ER1C4%7E%7ER1C4%7ER2C4%7E%7ER3C4%7ER3C5%7E%7ER1C7%7ER2C7%7E%7ER2C8%7ER3C8%7E%7ER5C5%7ER5C6%7E%7ER7C5%7ER7C6%7E%7ER6C8%7ER7C8%7E%7ER7C8%7ER7C9%7E%7ER8C6%7ER9C6%7E%7ER8C2%7ER9C2%7E%7ER8C3%7ER9C3.Binary%7EIACgIICigIACg%7E_d3%7ER1C5%7ER1C6%7E%7ER4C7%7ER3C7%7E%7ER3C7%7ER3C8%7E%7ER5C6%7ER5C7%7E%7ER5C4%7ER5C5%7E%7ER3C1%7ER4C1%7E%7ER4C1%7ER5C1%7E%7ER5C2%7ER5C3%7E%7ER6C1%7ER7C1%7E%7ER6C2%7ER7C2%7E%7ER6C4%7ER7C4%7E%7ER8C1%7ER9C1%7E%7ER9C3%7ER9C4%7E%7ER9C7%7ER9C8%7E%7ER9C8%7ER9C9%7E%7ER8C7%7ER8C8%7E%7ER7C7%7ER7C8%7E%7ER6C7%7ER7C7.ContainAtLeast%7E3%7ER1C1%7ER1C9%7ER9C9%7ER9C1