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cmake_minimum_required(VERSION 3.14) | ||
project(cpp_0004) | ||
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set(CMAKE_CXX_STANDARD 14) | ||
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add_executable(cpp_0004 main.cpp) |
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/// Source : https://leetcode.com/problems/median-of-two-sorted-arrays/ | ||
/// Author : liuyubobobo | ||
/// Time : 2019-06-13 | ||
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#include <iostream> | ||
#include <vector> | ||
#include <cassert> | ||
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using namespace std; | ||
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/// Binary Search | ||
/// Time Complexity: O(log(min(n, m))) | ||
/// Space Complexity: O(1) | ||
class Solution { | ||
public: | ||
double findMedianSortedArrays(vector<int>& nums1, vector<int>& nums2) { | ||
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if(nums1.size() > nums2.size()) swap(nums1, nums2); | ||
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int n = nums1.size(), m = nums2.size(); | ||
if(n == 0) return m % 2 ? nums2[m / 2] : (nums2[m / 2 - 1] + nums2[m / 2]) / 2.0; | ||
int half = (n + m) / 2; | ||
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int l = 0, r = n; | ||
while(l <= r){ | ||
int mid = (l + r) / 2; | ||
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int i1 = mid, i2 = half - i1; | ||
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int leftMax = i1 == 0 ? nums2[i2 - 1] : | ||
i2 == 0 ? nums1[i1 - 1] : max(nums1[i1 - 1], nums2[i2 - 1]); | ||
int rightMin = i1 == n ? nums2[i2] : | ||
i2 == m ? nums1[i1] : min(nums1[i1], nums2[i2]); | ||
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if(leftMax <= rightMin){ | ||
if((n + m) % 2 == 1) | ||
return rightMin; | ||
else{ | ||
int nums1Left = i1 == 0 ? INT_MIN : | ||
i1 == 1 ? nums1[i1 - 1] : max(nums1[i1 - 1], nums1[i1 - 2]); | ||
int nums1Right = i1 == n ? INT_MAX : | ||
i1 == n - 1 ? nums1[i1] : min(nums1[i1], nums1[i1 + 1]); | ||
int nums2Left = i2 == 0 ? INT_MIN : | ||
i2 == 1 ? nums2[i2 - 1] : max(nums2[i2 - 1], nums2[i2 - 2]); | ||
int nums2Right = i2 == m ? INT_MAX : | ||
i2 == m - 1 ? nums2[i2] : min(nums2[i2], nums2[i2 + 1]); | ||
return (max(nums1Left, nums2Left) + min(nums1Right, nums2Right)) / 2.0; | ||
} | ||
} | ||
else if(nums1[i1] == rightMin) | ||
l = mid + 1; | ||
else | ||
r = mid - 1; | ||
} | ||
assert(false); | ||
return -1; | ||
} | ||
}; | ||
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int main() { | ||
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vector<int> nums11 = {1, 3}; | ||
vector<int> nums12 = {2}; | ||
cout << Solution().findMedianSortedArrays(nums11, nums12) << endl; | ||
// 2 | ||
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vector<int> nums21 = {1, 2}; | ||
vector<int> nums22 = {3, 4}; | ||
cout << Solution().findMedianSortedArrays(nums21, nums22) << endl; | ||
// 2.5 | ||
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vector<int> nums31 = {}; | ||
vector<int> nums32 = {1}; | ||
cout << Solution().findMedianSortedArrays(nums31, nums32) << endl; | ||
// 1 | ||
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return 0; | ||
} |
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@@ -50,7 +50,8 @@ email: [[email protected]](mailto:[email protected]) | |
| --- | --- | :---: | :--- | :--- | :--- | | ||
| 001 | [Two Sum](https://leetcode.com/problems/two-sum/description/) | [solution](https://leetcode.com/problems/two-sum/solution/) | [C++](0001-Two-Sum/cpp-0001/) | [Java](0001-Two-Sum/java-0001/src/) | | | ||
| 002 | [Add Two Numbers](https://leetcode.com/problems/add-two-numbers/description/) | [solution](https://leetcode.com/problems/add-two-numbers/solution/) | [C++](0002-Add-Two-Numbers/cpp-0002/) | | | | ||
| 003 | [Longest-Substring-Without-Repeating-Characters](https://leetcode.com/problems/longest-substring-without-repeating-characters/description/) | [solution](https://leetcode.com/problems/longest-substring-without-repeating-characters/solution/) | [C++](0003-Longest-Substring-Without-Repeating-Characters/cpp-0003/) | [Java](0003-Longest-Substring-Without-Repeating-Characters/java-0003/src/) | | | ||
| 003 | [Longest Substring Without Repeating Characters](https://leetcode.com/problems/longest-substring-without-repeating-characters/description/) | [solution](https://leetcode.com/problems/longest-substring-without-repeating-characters/solution/) | [C++](0003-Longest-Substring-Without-Repeating-Characters/cpp-0003/) | [Java](0003-Longest-Substring-Without-Repeating-Characters/java-0003/src/) | | | ||
| 004 | [Median of Two Sorted Arrays](https://leetcode.com/problems/median-of-two-sorted-arrays/) | [solution](https://leetcode.com/problems/median-of-two-sorted-arrays/solution/) | [C++](0004-Median-of-Two-Sorted-Arrays/cpp-0004/) | | | | ||
| | | | | | | | ||
| 007 | [Reverse Integer](https://leetcode.com/problems/reverse-integer/description/) | [solution](https://leetcode.com/problems/reverse-integer/solution/) | [C++](0007-Reverse-Integer/cpp-0007/) | | | | ||
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