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Ceiling.java

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public class Ceiling {

public static void main(String[] args) {

int[] arr = {2, 3, 5, 9, 14, 16, 18};

int target = 15;

int ans = ceiling(arr, target);

System.out.println(ans);

}

// return the index of smallest no >= target

static int ceiling(int[] arr, int target) {

// but what if the target is greater than the greatest number in the array

if (target > arr[arr.length - 1]) {

return -1;

}

int start = 0;

int end = arr.length - 1;

while(start <= end) {

// find the middle element

// int mid = (start + end) / 2; // might be possible that (start + end) exceeds the range of int in java

int mid = start + (end - start) / 2;

if (target < arr[mid]) {

end = mid - 1;

} else if (target > arr[mid]) {

start = mid + 1;

} else {

// ans found

return mid;

}

}

return start;

}

}