cho 2012 số  nguyên dương $x_1;x_2;x_3...;x_{2011};x_{2012}$ thỏa mãn điều kiện sau : 
$\frac{1}{x_1}+\frac{1}{x_2}+...+\frac{1}{x_{2011}}+\frac{1}{x_{2012}}$=125
Chứng minh rằng trong 2012 số nguyên dương có ít nhật ba số bằng nhau

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