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4Sum.py
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# 120ms 84.59%
# 首先实现一个高效的towsum查找,然后利用递归的思想来解决
# 当然也可以把写成嵌套函数的形式
class Solution:
def fourSum(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: List[List[int]]
"""
nums.sort()
res_list = []
self.findNsum(nums, 4, target, [], res_list)
return res_list
def findNsum(self, nums, N, target, temp_list, res_list):
# 毕竟不可以求小于两个数求和,另外如果数组的长度比N还要小,当然也不行
if N < 2 or len(nums) < N:
return
# 高效的towsum查找
if N is 2:
l, r = 0, len(nums) - 1
while l < r:
s = nums[l] + nums[r]
if s == target:
res_list.append(temp_list + [nums[l], nums[r]])
while l < r and nums[l] == nums[l + 1]:
l += 1
while l < r and nums[r] == nums[r - 1]:
r -= 1
r -= 1;l += 1
elif s > target:
r -= 1
else:
l += 1
else:
for i in range(len(nums) - N + 1):
# 如果重复了就跳过
if i > 0 and nums[i] == nums[i - 1]:
continue
# 如果加和不可能等于target同样跳过
if nums[i] * N > target or nums[-1] * N < target:
continue
self.findNsum(nums[i + 1:], N - 1, target - nums[i], temp_list + [nums[i]], res_list)