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| 1 | +//{ Driver Code Starts |
| 2 | +//Initial Template for C++ |
| 3 | + |
| 4 | +#include <bits/stdc++.h> |
| 5 | +using namespace std; |
| 6 | +double MedianOfArrays(vector<int>& array1, vector<int>& array2); |
| 7 | + |
| 8 | + |
| 9 | +// } Driver Code Ends |
| 10 | +//User function Template for C++ |
| 11 | + |
| 12 | +class Solution { |
| 13 | +public: |
| 14 | + double MedianOfArrays(std::vector<int>& array1, std::vector<int>& array2) { |
| 15 | + if (array1.size() > array2.size()) { |
| 16 | + return MedianOfArrays(array2, array1); |
| 17 | + } |
| 18 | + |
| 19 | + int m = array1.size(); |
| 20 | + int n = array2.size(); |
| 21 | + int low = 0, high = m; |
| 22 | + |
| 23 | + while (low <= high) { |
| 24 | + int partition1 = (low + high) / 2; |
| 25 | + int partition2 = (m + n + 1) / 2 - partition1; |
| 26 | + |
| 27 | + int maxLeft1 = (partition1 == 0) ? INT_MIN : array1[partition1 - 1]; |
| 28 | + int minRight1 = (partition1 == m) ? INT_MAX : array1[partition1]; |
| 29 | + |
| 30 | + int maxLeft2 = (partition2 == 0) ? INT_MIN : array2[partition2 - 1]; |
| 31 | + int minRight2 = (partition2 == n) ? INT_MAX : array2[partition2]; |
| 32 | + |
| 33 | + if (maxLeft1 <= minRight2 && maxLeft2 <= minRight1) { |
| 34 | + if ((m + n) % 2 == 0) { |
| 35 | + return (std::max(maxLeft1, maxLeft2) + std::min(minRight1, minRight2)) / 2.0; |
| 36 | + } else { |
| 37 | + return std::max(maxLeft1, maxLeft2); |
| 38 | + } |
| 39 | + } else if (maxLeft1 > minRight2) { |
| 40 | + high = partition1 - 1; |
| 41 | + } else { |
| 42 | + low = partition1 + 1; |
| 43 | + } |
| 44 | + } |
| 45 | + |
| 46 | + throw std::invalid_argument("Input arrays are not sorted"); |
| 47 | + } |
| 48 | +}; |
| 49 | + |
| 50 | + |
| 51 | +//{ Driver Code Starts. |
| 52 | + |
| 53 | +int main() |
| 54 | +{ |
| 55 | + int t; |
| 56 | + cin>>t; |
| 57 | + while(t--) |
| 58 | + { |
| 59 | + int m,n; |
| 60 | + cin>>m; |
| 61 | + vector<int> array1(m); |
| 62 | + for (int i = 0; i < m; ++i){ |
| 63 | + cin>>array1[i]; |
| 64 | + } |
| 65 | + cin>>n; |
| 66 | + vector<int> array2(n); |
| 67 | + for (int i = 0; i < n; ++i){ |
| 68 | + cin>>array2[i]; |
| 69 | + } |
| 70 | + Solution ob; |
| 71 | + cout<<ob.MedianOfArrays(array1, array2)<<endl; |
| 72 | + } |
| 73 | + return 0; |
| 74 | +} |
| 75 | + |
| 76 | + |
| 77 | + |
| 78 | +// } Driver Code Ends |
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