MathCastle
Groups and FieldsEasyA Gallery of Groups

A Gallery of Groups · Easy problem

A dial has 2626 equally spaced marks, numbered 00 through 2525 clockwise. It is sitting at mark 1919. Pressing a button advances it clockwise by a fixed step size xx (added once, mod 2626), and one press lands it on mark 44. What is xx, as the representative in {0,1,…,25}\{0,1,\ldots,25\}?