Let N be the positive integer 7777 \ldots 777, a 313-digit number where each digit is a 7 . Let f(r) be the leading digit of the r th root of N. What is

f(2)+f(3)+f(4)+f(5)+f(6) ?

**Answer Choices**

A. 8

B. 9

C. 11

D. 22

E. 29

Let N be the positive integer 7777 \ldots 777, a 313-digit number where each digit is a 7 . Let f(r) be the leading digit of the r th root of N. What is

f(2)+f(3)+f(4)+f(5)+f(6) ?

**Answer Choices**

A. 8

B. 9

C. 11

D. 22

E. 29