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0,20102010... = x/y
______________________ -
1000 = 999 x/y
x/y = 1000/999
x + y = 1999
x = 0,201020102010...
__________________________________ -
9999x = 2010
x = 2010/9999 = 670/3333
Nilai terkecil untuk x+y adalah 670+3333 = 4003.