leetcode 4. Median of Two Sorted Arrays
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class Solution {public: int findNum(vector<int>&nums1,vector<int>&nums2,int t){ int l1 = 0, h1 = nums1[nums1.size()-1];; if(nums2.size() > 0) h1 = max(h1,nums2[nums2.size()-1]); int n = nums1.size(), m = nums2.size(); while( l1 <= h1 ){ int small = 0; int l2 = 0, h2 = n-1; int mid1 = (l1+h1)/2; while(l2 <= h2){ int mid = (l2+h2)/2; if(nums1[mid]>mid1)h2=mid-1; else l2=mid+1; } small+=l2; if(small >= t){ h1 = mid1-1; continue; } l2 = 0,h2=m-1; while(l2 <= h2){ int mid = (l2+h2)/2; if(nums2[mid]>mid1)h2=mid-1; else l2 =mid+1; } small+=l2; if(small >= t) h1 = mid1-1; else l1 = mid1+1; } // cout<<l1<<" "<<t<<endl; return l1; } double findMedianSortedArrays(vector<int>& nums1, vector<int>& nums2) { if(nums1.size() == 0) swap(nums1,nums2); int n = nums1.size(); int m = nums2.size(); int t = (n+m+1)/2; int ans = findNum(nums1,nums2,t); if(t*2==n+m){ ans += findNum(nums1,nums2,t+1); } else ans*=2; return 1.0*ans/2; }};
思路:二分第t个数是多大,那么分奇偶求出与中位数有关的数字就行。
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