\(\frac{1}{log_2 100} - \frac{1}{log_4 100} + \frac{1}{log_5 100} - \frac{1}{log_{10} 100} + \frac{1}{log_{20} 100} - \frac{1}{log_{25}100} + \frac{1}{log_{50} 100}- ?\)

• A. 0
• B. 10
• C. -4
• D. 1/2