Masala #LQXJ5FIBXL

Xotira 64 MB Vaqt 1000 ms
14

NBS chekli

Sizga 3 ta butun son N, K, M berilgan. NKN^K (ya'ni, N ning K-darajasi) ni hisoblang va ushbu sonning MM dan kichik yoki unga teng bo'lgan bo'luvchilarining sonini aniqlang.


Kiruvchi ma'lumotlar:

Bitta qatorda uchta musbat butun son N, K, M  beriladi. (1N,K,M1015)(1 ≤ N, K, M ≤ 10^{15})


Chiquvchi ma'lumotlar:

MM dan kichik yoki teng bo'lgan NKN^K ning bo'luvchilarining sonini chop eting.


Misollar
# input.txt output.txt
1
12 2 50
13
2
7 5 5
1
Izoh:

1-testda. 122=14412^2=144 Demak bo'luvchialri. 1,2,3,4,6,8,9,12,16,18,24,36,48,72,1441,2,3,4,6,8,9,12,16,18,24,36,48,72,144. Endi bizga 50 dan kichiklari kerak ekan bular 1,2,3,4,6,8,9,12,16,18,24,36,481,2,3,4,6,8,9,12,16,18,24,36,48 jami 13 ta.