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Commit66eb807

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Updated 454-4sum-ii.md
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‎en/1-1000/454-4sum-ii.md

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LeetCode link:[454. 4Sum II](https://leetcode.com/problems/problem), difficulty:**Medium**.
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##LeetCode description of "454. 4Sum II"
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Given four integer arrays`nums1`,`nums2`,`nums3`, and`nums4` all of length`n`, return the number of tuples`(i, j, k, l)` such that:
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Given four integer arrays`nums1`,`nums2`,`nums3`, and`nums4` all of length`n`, return the number of tuples`(i, j, k, l)` such that:
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*`0 <= i, j, k, l < n`
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*`nums1[i] + nums2[j] + nums3[k] + nums4[l] == 0`
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-`0 <= i, j, k, l < n`
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-`nums1[i] + nums2[j] + nums3[k] + nums4[l] == 0`
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###[Example 1]
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**Input**:`nums1 = [1,2], nums2 = [-2,-1], nums3 = [-1,2], nums4 = [0,2]`
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-`n == nums3.length`
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-`n == nums4.length`
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-`1 <= n <= 200`
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-`-2**28 <= nums1[i], nums2[i], nums3[i], nums4[i] <= 2**28`
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-`-2^28 <= nums1[i], nums2[i], nums3[i], nums4[i] <= 2^28`
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##Intuition
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1. Because the final requirement is to take one number from each group of numbers, the four groups of numbers can be split into**two groups of two**.
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2. Count the number of each`sum`. Use`Map` to store,`key` is`sum`,`value` is`count`.
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3. Iterate over`nums3` and`nums4`, if`-(num3 + num4)` exists in`keys` of`Map`, then`count` is included in the total.
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##Steps
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1. Count the number of each`sum`. Use`Map` to store,`key` is`sum`,`value` is`count`.
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```python
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num_to_count= defaultdict(int)
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for num1in nums1:
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for num2in nums2:
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num_to_count[num1+ num2]+=1
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```
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```python
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num_to_count = defaultdict(int)
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for num1 in nums1:
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for num2 in nums2:
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num_to_count[num1 + num2] += 1
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```
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2. Iterate over`nums3` and`nums4`, if`-(num3 + num4)` exists in`keys` of`Map`, then`count` is included in the total.
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```python
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result=0
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for num3in nums3:
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for num4in nums4:
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result+= num_to_count[-(num3+ num4)]
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return result
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```
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```python
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result = 0
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for num3 in nums3:
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for num4 in nums4:
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result += num_to_count[-(num3 + num4)]
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return result
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```
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##Complexity
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* Time:`O(n * n)`.

‎zh/1-1000/454-4sum-ii.md

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##力扣“454. 四数相加 II”问题描述
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给你四个整数数组`nums1``nums2``nums3``nums4` ,数组长度都是`n` ,请你计算有多少个元组`(i, j, k, l)` 能满足:
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*`0 <= i, j, k, l < n`
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*`nums1[i] + nums2[j] + nums3[k] + nums4[l] == 0`
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-`0 <= i, j, k, l < n`
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-`nums1[i] + nums2[j] + nums3[k] + nums4[l] == 0`
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###[示例 1]
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**输入**:`nums1 = [1,2], nums2 = [-2,-1], nums3 = [-1,2], nums4 = [0,2]`
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3. 遍历`nums3``nums4`,如果`-(num3 + num4)`存在于`Map``keys`中,则`count`计入总数。
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##步骤
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1. 统计出每个``值对应的个数。使用`Map`储存,`key````value``count`
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```python
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num_to_count= defaultdict(int)
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for num1in nums1:
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for num2in nums2:
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num_to_count[num1+ num2]+=1
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```
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```python
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num_to_count = defaultdict(int)
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for num1 in nums1:
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for num2 in nums2:
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num_to_count[num1 + num2] += 1
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```
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2. 遍历`nums3``nums4`,如果`-(num3 + num4)`存在于`Map``keys`中,则`count`计入总数。
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```python
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result=0
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for num3in nums3:
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for num4in nums4:
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result+= num_to_count[-(num3+ num4)]
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return result
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```
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```python
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result = 0
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for num3 in nums3:
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for num4 in nums4:
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result += num_to_count[-(num3 + num4)]
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return result
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```
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##复杂度
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* 时间:`O(n * n)`.

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