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For constants b and c, consider the recurrence relation given by: • T(n) = b, if n=1 T(n) = 125 + T(n/5) + c * n², if n>1

For constants b and c, consider the recurrence relation given by: • T(n) = b, if n=1 T(n) = 125 + T(n/5) + c * n², if n>1

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For constants b and c, consider the recurrence relation given by: • T(n) =b, if n=1 T(n) = 125 * T(n/5) + c* n², if n>1 Which of the following statements is true? O a. T(n) = e(n³ * log n) O b. T(n) = 0(n² * log n) O c T(n) = e(n³ * log n * log n * log n) O d. T(n) =0(n²) O e. T(n) = 0 (n³)
Transcribed Image Text:For constants b and c, consider the recurrence relation given by: • T(n) =b, if n=1 T(n) = 125 * T(n/5) + c* n², if n>1 Which of the following statements is true? O a. T(n) = e(n³ * log n) O b. T(n) = 0(n² * log n) O c T(n) = e(n³ * log n * log n * log n) O d. T(n) =0(n²) O e. T(n) = 0 (n³)
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