If ppp is an odd prime, what is the value of (p−1k)(modp)\binom{p-1}{k} \pmod{p}(kp−1)(modp) for 1≤k≤p−11 \leq k \leq p-11≤k≤p−1?
000
(−1)k(-1)^k(−1)k
111
ppp