This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
from math import floor, log2, sqrt, log10
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
tower = [blocks[0]]
index = 0
for i in range(1, N):
possibilities = 1
index = binary_search(index, len(tower) - 1, blocks[i], tower)
possibilities += len(tower) - index
ans *= possibilities
tower.append(blocks[i])
print(ans % 1000000009)
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