In a general binary search, we are looking for a value which appears in the array. Sometimes, however, we need to find the first element which is either greater or less than
kind =0: exact match, kind=1: just grater than x, kind=-1: just smaller than x;
It returns -1 if no match is found.
#include
#include
using namespace std;
int g(int arr[], int l , int r, int x, int kind){
switch(kind){
case 0: // for exact match
if(arr[l] == x) return l;
else if(arr[r] == x) return r;
else return -1;
break;
case 1: // for just greater than x
if(arr[l]>=x) return l;
else if(arr[r]>=x) return r;
else return -1;
break;
case -1: // for just smaller than x
if(arr[r]<=x) return r;
else if(arr[l] <= x) return l;
else return -1;
break;
default:
cout <<"please give "kind" as 0, -1, 1 only" << ednl;
}
}
int f(int arr[], int n, int l, int r, int x, int kind){
if(l==r) return l;
if(l>r) return -1;
int m = l+(r-l)/2;
while(m>l){
if(arr[m] == x) return m;
if(arr[m] > x) r = m;
if(arr[m] < x) l = m;
m = l+(r-l)/2;
}
int pos = g(arr, l, r, x, kind);
return pos;
}
int main()
{
int arr[] = {1,2,3,5,8,14, 22, 44, 55};
int n = sizeof(arr)/sizeof(arr[0]);
sort(arr, arr+n);
int tcs;
cin >> tcs;
while(tcs--){
int l = 0, r = n-1, x = 88, kind = -1; // you can modify these values
cin >> x;
int pos = f(arr, n, l, r, x, kind);
// kind =0: exact match, kind=1: just grater than x, kind=-1: just smaller than x;
cout <<"position"<< pos << " Value ";
if(pos >= 0) cout << arr[pos];
cout << endl;
}
return 0;
}