454.四数相加II
题目

思路与解法
第一想法: 无
carl的讲解: 前两个为一组,后两个为一组。遍历前两个可能的加值,再在后两组中寻找有没有前面值的负值,若有就是一组。
我认为,重点在于将问题简化为前两个数组和后两个数组的逻辑。
python
class Solution:
def fourSumCount(self, nums1: List[int], nums2: List[int], nums3: List[int], nums4: List[int]) -> int:
from collections import defaultdict
sum_dict = defaultdict(int)
for a in nums1:
for b in nums2:
sum_dict[a+b] += 1
count = 0
for c in nums3:
for d in nums4:
if (0-c-d) in sum_dict:
count += sum_dict[0-c-d]
return count
383. 赎金信
题目

思路与解法
第一想法: 将magazine中的字母存在字典中,key是字母,value是出现的次数。然后遍历ransomNote的字母,在magazine字典中出现一次就value减一,value小于0就返回False。若字典中没有,就直接返会False。最后都通过了,就返回True。
python
class Solution:
def canConstruct(self, ransomNote: str, magazine: str) -> bool:
from collections import defaultdict
magazine_dict = defaultdict(int)
for a in magazine:
magazine_dict[a] += 1
for b in ransomNote:
if b not in magazine_dict:
return False
magazine_dict[b] -= 1
if magazine_dict[b] < 0:
return False
return True
15. 三数之和
题目
思路与解法
第一想法: 双指针,三个数,for i in enumerate(nums),i代表第一个,low = i+1, fast = low+1,代表后面两个。然后low 和 fast遍历数组来和i相加看是不是等于0。i也不断往后遍历。
但是忽略了去重。加上去重就是对的,但是超时了。
python
class Solution:
def threeSum(self, nums: List[int]) -> List[List[int]]:
res = []
nums.sort()
for i, num in enumerate(nums):
low = i + 1
if i > 0 and nums[i] == nums[i-1]:
continue
while low < len(nums) -1 :
fast = low + 1
while fast < len(nums):
if nums[low] + nums[fast] + num == 0:
res.append([num, nums[low], nums[fast]])
while fast + 1 < len(nums) and nums[fast + 1] == nums[fast]:
fast += 1
fast += 1
while low + 1 < len(nums) -1 and nums[low+1] == nums[low]:
low += 1
low += 1
return res
carl的讲解: 让fast指针从最右边开始,因为排序了,所以fast(right)指向的是最大值
python
class Solution:
def threeSum(self, nums: List[int]) -> List[List[int]]:
result = []
nums.sort()
for i in range(len(nums)):
# 如果第一个元素已经大于0,不需要进一步检查
if nums[i] > 0:
return result
# 跳过相同的元素以避免重复
if i > 0 and nums[i] == nums[i - 1]:
continue
left = i + 1
right = len(nums) - 1
while right > left:
sum_ = nums[i] + nums[left] + nums[right]
if sum_ < 0:
left += 1
elif sum_ > 0:
right -= 1
else:
result.append([nums[i], nums[left], nums[right]])
# 跳过相同的元素以避免重复
while right > left and nums[right] == nums[right - 1]:
right -= 1
while right > left and nums[left] == nums[left + 1]:
left += 1
right -= 1
left += 1
return result
18. 四数之和
题目

思路与解法
carl的讲解:
python
class Solution:
def fourSum(self, nums: List[int], target: int) -> List[List[int]]:
nums.sort()
n = len(nums)
result = []
for i in range(n):
if nums[i] > target and nums[i] > 0 and target > 0:# 剪枝(可省)
break
if i > 0 and nums[i] == nums[i-1]:# 去重
continue
for j in range(i+1, n):
if nums[i] + nums[j] > target and target > 0: #剪枝(可省)
break
if j > i+1 and nums[j] == nums[j-1]: # 去重
continue
left, right = j+1, n-1
while left < right:
s = nums[i] + nums[j] + nums[left] + nums[right]
if s == target:
result.append([nums[i], nums[j], nums[left], nums[right]])
while left < right and nums[left] == nums[left+1]:
left += 1
while left < right and nums[right] == nums[right-1]:
right -= 1
left += 1
right -= 1
elif s < target:
left += 1
else:
right -= 1
return result