Created
July 13, 2020 23:48
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class ST: | |
def build(self, arr): | |
max_len = 4 * len(arr) | |
self.st = [None] * max_len | |
self.arr_len = len(arr) | |
self.helper(arr, 1, 0, len(arr) - 1) | |
def helper(self, arr, v, l, r): | |
if l == r: | |
self.st[v] = arr[l] | |
return | |
m = (l + r) // 2 | |
self.helper(arr, v * 2, l, m) | |
self.helper(arr, v * 2 + 1, m + 1, r) | |
self.st[v] = max(self.st[v * 2], self.st[v * 2 + 1]) | |
def find(self, l_obj, r_obj): | |
return self.find_helper(1, 0, self.arr_len - 1, l_obj, r_obj) | |
def find_helper(self, v, l, r, l_obj, r_obj): | |
if l_obj > r_obj: | |
return -10**6 | |
if l == l_obj and r == r_obj: | |
return self.st[v] | |
ml = (l + r) // 2 | |
mr = (l + r) // 2 + 1 | |
while True: | |
if r_obj < ml: | |
v = v * 2 | |
r = ml | |
ml = (l + r) // 2 | |
mr = ml + 1 | |
elif l_obj > mr: | |
v = v * 2 + 1 | |
l = mr | |
ml = (l + r) // 2 | |
mr = ml + 1 | |
else: | |
break | |
result1 = self.find_helper(v * 2, l, ml, l_obj, ml) | |
result2 = self.find_helper(v * 2 + 1, mr, r, mr, r_obj) | |
return max(result1, result2) | |
class Solution: | |
def solve(self, nums, k): | |
result = [] | |
st = ST() | |
st.build(nums) | |
for i in range(len(nums) - k + 1): | |
result.append(st.find(i, i + k - 1)) | |
return result | |
import time | |
from nums_len_50000 import nums, ans | |
from nums2 import nums2, ans2 | |
k = 654 | |
k2 = 33123 | |
s = Solution() | |
start = time.time() | |
# st = ST() | |
# st.build([3, 3, 3, 3, 3, 3, 3, 2, 1]) | |
# assert st.find(6, 8) == 3 | |
assert s.solve([3, 3, 3, 3, 3, 3, 3, 2, 1], 3) == [3, 3, 3, 3, 3, 3, 3] | |
assert s.solve([1, 2, 3, 4, 5, 4, 3, 2, 1], 3) == [3, 4, 5, 5, 5, 4, 3] | |
assert s.solve(nums, k) == ans | |
assert s.solve(nums2, k2) == ans2 | |
end = time.time() | |
print(end - start) |
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