# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1178905 | sosuke | A Huge Tower (CEOI10_tower) | Pypy 3 | 338 ms | 157192 KiB |
MOD = 10**9 + 9
n, d = map(int, input().split())
blocks = list(map(int, input().split()))
blocks.sort() # sort the blocks
right = 0
res = 1
for left in range(n):
while right < n - 1 and blocks[right + 1] - blocks[left] <= d:
right += 1
# largest tower we can built when blocks[left] block is the base
dist = right - left + 1
res = (res * dist) % MOD
print(res)
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