Created
October 8, 2016 22:35
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| class Solution { | |
| public: | |
| // | |
| int minOfNext(vector<int>& v1, vector<int>& v2, int n1, int n2, int o1, int o2) { | |
| if(n1 > o1 && n2 > o2) { | |
| return min(v1[o1],v2[o2]); | |
| } else if(n1 > o1) { | |
| return v1[o1]; | |
| } else { | |
| return v2[o2]; | |
| } | |
| } | |
| int bsKey(vector<int>& v1, vector<int>& v2, int n1, int n2, int k) { | |
| int k1 = k - 1; // 1 | |
| if(n1 == 0) { | |
| return v2[k1]; | |
| } | |
| if(n2 == 0) { | |
| return v1[k1]; | |
| } | |
| // 4: 0,1,[2],3 | |
| // 3: 0,[1],2 | |
| int o1 = -1; | |
| int o2 = -1; | |
| if(k1 == 0) { // 1 | |
| return minOfNext(v1,v2,n1,n2,o1+1,o2+1); | |
| } else { | |
| if(v1[0] > v2[n2-1]) { | |
| //[3,4] | |
| //[1,2] | |
| if(n2 >= k) { | |
| return v2[k1]; | |
| } else { | |
| return v1[k1-n2]; | |
| } | |
| } else if(v1[n1-1] < v2[0]) { // n1-1 = 1 , v2[0] = 3 | |
| if(n1 >= k) { // | |
| return v1[k1]; | |
| } else { | |
| return v2[k1-n1]; | |
| } | |
| } else { | |
| // | |
| // 1, 3, 6 | |
| // 2, 4, 6 | |
| int c = k1; // c = 1 | |
| while(c > 0) { // c > 0 | |
| // co1 | |
| int co1 = min(o1+c,n1-1); // -1 + 2 = 1 (0,1) (-1+ 1 =0), 2-1 = 1 co1 = 0 | |
| int cadd1 = co1 - o1; // 1 - -1 = 2 // 0 - -1 = 1 , cadd1 = 1 | |
| while(v1[co1] > v2[o2 + 1]) { // v1[0] = 1, v1[0] = 2 | |
| cadd1 /= 2; // cadd = 0 | |
| co1 = o1 + cadd1; // co1 = -1 | |
| if(cadd1 <= 0) { // break | |
| break; | |
| } | |
| } | |
| if(cadd1 == 0) { // cadd1 == 0 | |
| if(o1 < n1 - 1 && v1[o1+1] <= v2[o2+1]) { | |
| cadd1 = 1; | |
| } | |
| } | |
| o1 = min(o1 + cadd1, n1 -1); // -1 + 1 = 0, 2 - 1 = 1 , o1 = 0 | |
| c = k1 - (o1 + o2 + 2); // c = 0 + -1 + 2 = 1 | |
| // co2 | |
| if(c > 0) { | |
| int co2 = min(o2+c,n2-1); // -1 + 2 = 1 (0,1) | |
| int cadd2 = co2 - o2; // 1 - -1 = 2 | |
| while(v2[co2] > v1[o1 + 1]) { | |
| cadd2 /= 2; | |
| co2 = o2 + cadd2; | |
| if(cadd2 <= 0) { | |
| break; | |
| } | |
| } | |
| if(cadd2 == 0) { | |
| //cadd2 = 1; | |
| if(o2 < n2 - 1 && v2[o2+1] <= v1[o1+1]) { | |
| cadd2 = 1; | |
| } | |
| } | |
| o2 = min(o2 + cadd2, n2 -1); | |
| c = k1 - (o1 + o2 + 2); // c = 0 + -1 + 2 = 1 | |
| } | |
| if(c > 0) { | |
| if(o1 == n1 - 1) { | |
| o2 += c; | |
| } else if(o2 == n2 - 1) { | |
| o1 += c; | |
| } | |
| c = k1 - (o1 + o2 + 2); // c = 0 + -1 + 2 = 1 | |
| } | |
| } | |
| return minOfNext(v1,v2,n1,n2,o1+1,o2+1); | |
| } | |
| } | |
| } | |
| double findMedianSortedArrays(vector<int>& nums1, vector<int>& nums2) { | |
| int n1 = nums1.size(); | |
| int n2 = nums2.size(); | |
| int na = n1 + n2; | |
| int nhlf = na / 2; | |
| if(na % 2 == 0 ) { | |
| // 3/ 2 = 1 (0,[1],2) | |
| // 4/2 = 2 : [0,[1],[2],3] 6 (0,1,[2,3],4,5) | |
| // [0,(1,2),3] = 2 (2,3) | |
| double r1 = (double)bsKey(nums1,nums2,n1,n2, nhlf+1); | |
| double r2 = (double)bsKey(nums1,nums2,n1,n2, nhlf); | |
| return (r1 + r2) / 2; | |
| } else { | |
| // 3 / 2 = 1 (2) | |
| return (double)bsKey(nums1,nums2,n1,n2,nhlf+1); | |
| } | |
| } | |
| }; |
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