This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
import sys
import bisect
MOD = 10 ** 9 + 9
_, diff = map(int, input().split())
nums = list(map(int, sys.stdin.readline().strip().split()))
nums.sort()
ways = [0] * (len(nums) + 1)
ways[0] = 1
left_i = 0
for i, n in enumerate(nums):
while n > nums[left_i] + diff:
left_i += 1
ways[i + 1] = (ways[i] * (i - left_i + 1)) % MOD
print(ways[-1])
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