I am getting WA for this problem.I dont know whether its case of overflow or
I have come up with a wrong formula, https://www.spoj.pl/problems/CHAIR/
I am coding in python so I dont think there is probblem of overflow.

def f(n):
    if n<0:
        return 0
    if n==0:
        return 1
    i=n
    prod=1
    while i>0 :
        prod*=i
        i-=1
    return prod
n=input()
k=input()
if k==1:
    print n
elif 2*k>n:
    print 0
else :
    x=f(n-1)
    y=f(n-k)*f(k)
    print (x-y)%1000000003


-- 
Saurabh Singh
B.Tech (Computer Science)
MNNIT ALLAHABAD

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