This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
n,d=input().split()
n=int(n)
d=int(d)
m=1000000009
blocks=[0]*n
blocks=input().split()
for i in range (n):
blocks[i]=int(blocks[i])
blocks.sort()
towers=[0]*n
towers[0]=1
p=0
for i in range (n):
while p<i and blocks[p]+d<blocks[i]:
p+=1
if i>0:
towers[i]=(((i-p+1)) * towers[i - 1]) % m
print (towers[n - 1] % m)
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