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 = map(int, input().split())
blocks = sorted(list(map(int, input().split())))
def binary_search(l, r, size, list):
ans = r + 1
while r >= l:
m = (l + r) // 2
# m = l + floor(log10(r - l + 1))
# m = l + (r - l) // 1000000
if size <= list[m] + D:
r = m - 1
ans = m
else:
l = m + 1
return ans
ans = 1
index = 0
for i in range(1, N):
index = binary_search(index, i, blocks[index], blocks)
ans *= i - index + 2
print(ans % 1000000009)
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