#include <stdio.h>
/*非递归二分*/
int HalfSearch(int a[], int low, int high, int key)
{
while(low <= high)
{
int mid = (low + high) / 2;
if(a[mid] > key)
{
high = mid - 1;
}
else if(a[mid] < key)
{
low = mid + 1;
}
else
{
return mid;
}
}
}
/*递归二分*/
int HalfSearch2(int a[], int low, int high, int key)
{
int mid = (low + high) / 2;
if (low >= high)
{
return mid;
}
if (a[mid] > key) mid = HalfSearch2(a, low, mid - 1, key);
else if(a[mid] < key) mid = HalfSearch2(a, mid + 1, high, key);
}
/*找到第一个等于key的下标*/
int HalfSearch3(int a[], int low, int high, int key)
{
while(low <= high)
{
int mid = (low + high) / 2;
if(a[mid] > key)
{
high = mid - 1;
}
else if(a[mid] < key)
{
low = mid + 1;
}
else
{
if ((0 == mid) || (a[mid - 1] != key))
{
return mid;
}
else
{
high = mid - 1;
}
}
}
}
/*找到最后一个等于key的下标*/
int HalfSearch4(int a[], int low, int high, int key)
{
int n = high;
while(low <= high)
{
int mid = (low + high) / 2;
if(a[mid] > key)
{
high = mid - 1;
}
else if(a[mid] < key)
{
low = mid + 1;
}
else
{
if ((n == mid) || (a[mid + 1] != key))
{
return mid;
}
else
{
low = mid + 1;
}
}
}
}
/*找到第一个大于或等于key的下标*/
int HalfSearch5(int a[], int low, int high, int key)
{
while(low <= high)
{
int mid = (low + high) / 2;
if(a[mid] >= key)
{
if ((0 == mid) || (a[mid - 1] < key))
{
return mid;
}
else
{
high = mid - 1;
}
}
else if(a[mid] < key)
{
low = mid + 1;
}
}
}
/*找到最后一个小于或等于key的下标*/
int HalfSearch6(int a[], int low, int high, int key)
{
int n = high;
while(low <= high)
{
int mid = (low + high) / 2;
if(a[mid] >= key)
{
high = mid - 1;
}
else if(a[mid] <= key)
{
if ((n == mid) || (a[mid + 1] > key))
{
return mid;
}
else
{
low = mid + 1;
}
}
}
}
int main()
{
int i = 0;
int a[10] = {2, 9, 4, 1, 3, 55, 46, 15, 10, 32};
int b[10] = {1, 22, 30, 30, 30, 56, 60, 60, 90, 91};
// for (i = 0; i < 10; i++)
// {
// printf("a[%d]:%d\n", i, a[i]);
// }s
printf("%d\n", HalfSearch6(b, 0, 9, 50));
return 0;
}