Reference chaibubble's blog: https://blog.csdn.net/chaipp0607/article/details/76977687
Analysis of ideas:
Sort the array: array row has a good sequence. (Beginning do not know what that means ..)
- Traverse the entire array can be calculated how many values of k, which most likely to occur, the time complexity of O (n).
- Using a binary search method to find the values k leftmost and rightmost coordinates L coordinate value k R, k is the number of values of R-L + 1.
The title does not say the array is descending or ascending order, they can add analysis to determine the actual cow off-line programming default is ascending, descending order without regard no problem.
Visit: binary search
Subject description:
Count the number of times a number that appears in the sort array.
Java code:
public class Solution {
public int GetNumberOfK(int [] array , int k) {
//排序数组:排好序的数组
int sum=0;
int l=leftk(array,k,0,array.length-1);
int r=rightk(array,k,0,array.length-1);
if(l>-1&&r>-1){
sum= r-l+1;
}
return sum;
}
public static int leftk(int []arr,int k,int left,int right){
if(left>right){
return -1;
}
int middle=(right+left)/2;
if(arr[middle]==k){
if(middle!=left&&arr[middle-1]!=k||middle==left){
return middle;
}
else right=middle-1;
}
else if(arr[0]<=arr[arr.length-1]){
if(arr[middle]>k){
right=middle-1;
}
else if(arr[middle]<k){
left=middle+1;
}
}
else if(arr[0]>arr[arr.length-1]){//假设当时排序数组是由大到小的,不写也可以的
if(arr[middle]>k){
left=middle-1;
}
else if(arr[middle]<k){
right=middle+1;
}
}
return leftk(arr,k,left,right);
}
public static int rightk(int []arr,int k,int left,int right){
if(left>right){
return -1;
}
int middle=(right+left)/2;
if (arr[middle]==k){
if(middle!=right&&arr[middle+1]!=k||middle==right){
return middle;
}
else{
left=middle+1;
}
}
else if(arr[0]<=arr[arr.length-1]){
if(arr[middle]>k){
right=middle-1;
}
else {
left=middle+1;
}
}
else if(arr[0]>arr[arr.length-1]){//假设当时排序数组是由大到小的,不写也可以的
if(arr[middle]>k){
left=middle+1;
}
else{
right=middle-1;
}
}
return rightk(arr,k,left,right);
}
}