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Solution2.py
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class Solution:
def maxSumOfThreeSubarrays(self, nums: List[int], k: int) -> List[int]:
n = len(nums)
s = list(accumulate(nums, initial=0))
pre = [[] for _ in range(n)]
suf = [[] for _ in range(n)]
t = idx = 0
for i in range(n - k + 1):
if (cur := s[i + k] - s[i]) > t:
pre[i + k - 1] = [cur, i]
t, idx = pre[i + k - 1]
else:
pre[i + k - 1] = [t, idx]
t = idx = 0
for i in range(n - k, -1, -1):
if (cur := s[i + k] - s[i]) >= t:
suf[i] = [cur, i]
t, idx = suf[i]
else:
suf[i] = [t, idx]
t = 0
ans = []
for i in range(k, n - 2 * k + 1):
if (cur := s[i + k] - s[i] + pre[i - 1][0] + suf[i + k][0]) > t:
ans = [pre[i - 1][1], i, suf[i + k][1]]
t = cur
return ans