"081-search in rotated Sorted array II (search rotated sorted array)"
"leetcode-Interview algorithm classic-java Implementation" "All topics Directory Index"
Original Question
Follow to "Search in rotated Sorted Array":
What if duplicates is allowed?
Would this affect the run-time complexity? How and why?
Write a function to determine if a given the target was in the array.
Main Topic
Subsequent to "Search values in rotated array", if the values in the array allow repeating write a program to determine whether a given value is in the array.
Thinking of solving problems
First find the lowest number of the subscript, and then according to the number to find in which part of the search.
Code Implementation
Algorithm implementation class
Public class solution { Public Boolean Search(int[] Nums,intTarget) {if(Nums! =NULL&& nums.length >0) {//Find the lowest element corresponding subscript intMinindex = Findminindex (nums);//entire array is globally ordered if(Minindex = =0) {returnBinarySearch (Nums,0, Nums.length-1, target); }//There are two local ordered intervals, such as 4 5 6 7 8 9 0 1 2 3 Else{//Tian Good and the last element of the next ordered interval is equal, return the corresponding subscript if(Nums[nums.length-1] = = target) {return true; }//target may be in the next ordered interval Else if(Nums[nums.length-1] > Target) {returnBinarySearch (Nums, Minindex, Nums.length-1, target); }//target may be in the previous ordered interval Else{returnBinarySearch (Nums,0, Minindex-1, target); } } }return false; }/** * Binary search * * @param nums array * @param start start position * End of @param end Location * @param target Search destination * @return true found, false not found */ Public Boolean BinarySearch(int[] Nums,intStartintEndintTarget) {intMid while(Start <= end) {mid = start + ((End-start) >>1);if(Nums[mid] = = target) {return true; }Else if(Nums[mid] > target) {end = mid-1; }Else{start = mid +1; } }return false; } Public int Findminindex(int[] nums) {//Parameter check if(Nums = =NULL|| Nums.length <1) {Throw NewIllegalArgumentException (); }intLo =0;inthi = Nums.length-1;intMID =0;//Can exclude the global order of the array while(Nums[lo] >= Nums[hi]) {//If there are only two elements, return the latter one if(Hi-lo = =1) {mid = Hi; Break; } mid = Lo + ((Hi-lo) >>1);if(Nums[mid] = = Nums[lo] && Nums[mid] = = Nums[hi]) {//can only use sequential search method, cannot adopt lo++,hi--way //Because Lo may be the last of a previous ordered array //Hi may also be the first of the latter an ordered array returnSequencesearchminindex (Nums, lo, HI); }//If mid is in the previous ordered array if(Nums[mid] >= Nums[lo]) {lo = mid; }//If mid is in the next ordered array Else if(Nums[mid] <= Nums[hi]) {hi = mid; } }returnMid }/** * The subscript of the smallest value in the sequential search array, nums is rotated by an ordered array by an axis * * @param nums Search Array * @param start position * @param End position * @return the lowest index */ Public int Sequencesearchminindex(int[] Nums,intStartintEnd) { for(inti = start; I < end; i++) {if(Nums[i] > nums[i +1]) {returni +1; } }returnStart }}
Evaluation Results
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Special Instructions
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"Leetcode-Interview algorithm classic-java Implementation" "081-search in rotated Sorted array II (search rotated sorted array)"