How to use binary search when the array has odd value? - java

I'm using binarySearch and it's worked well with arrays that has even index, but when the array has odd index (length) it's give wrong result.
What i'v done so fare:
public static int binarySearch(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key < list[mid])
high = mid - 1;
else if (key == list[mid])
return mid;
else
low = mid + 1;
}
return - 1;
}
Input:
int[] arr1 = {5, 6, 8, 9, 11, 12, 11, 50, 1, 3, 15, 121, 33, 16, 17, 18, 19};
int[] arr2 = {5, 6, 8, 9, 11, 12, 11, 50, 1, 3, 15, 121, 33, 16, 17, 18};
Case:
System.out.println(binarySearch(arr1, 12));
System.out.println(binarySearch(arr2, 12));
OutPut:
-1
5
How i can get the right outPut in the both situation?

Binary search only works on sorted array
Solution : add Arrays.sort(list)
public static int binarySearch(int[] list, int key) {
Arrays.sort(list);
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key < list[mid]) high = mid - 1;
else if (key == list[mid]) return mid;
else low = mid + 1;
} return - 1;
}

You must sort the arrays before doing binary search operation.
In your question you are unable to search for the odd array length.
In java its very easy.
You can use the below code.
import java.util.Arrays;
class BS
{
public static void main(String args[])
{
int[] arr1 = {5, 6, 8, 9, 11, 12, 11, 50, 1, 3, 15, 121, 33, 16, 17, 18, 19};
System.out.println(Arrays.binarySearch(arr1 , '12'));
}
}

Related

How can I reorder my array based off the first value?

I'm working on a problem that says "Write a function called splay that reorganizes a list based on the first value. The first value is called the splaymaster. This function will rearrange the list such that all of the values before the splaymaster are less than or equal to the splaymaster and all of the values after it are greater than the splaymaster. The function also returns the index where the splaymaster is located after the list is rearranged. For example, if the list is [8, 15, 4, 48, 26, 45, 18, 29, 2, 1], the function will rearrange it to become [2, 1, 4, 8, 26, 45, 18, 29, 48, 15] and return the value 3. You may not sort the list." The problem that I seem to be having is for the example above it complains that the index is out of bounds which is my first problem. The next is if I use another array such as {90, 8, 15, 4, 48, 26, 45, 18, 29, 2, 1} I get {1, 90, 8, 15, 4, 48, 26, 45, 18, 29, 2} this is my output when it's not correct. What am I doing wrong? and How do I fix it?
public static void swap(int[] array, int i, int j) {
int temp = array[i];
array[i] = array[j];
array[j] = temp;
}
public static int splay(int[] x) {
int left = 1;
int right = x.length;
int splaymaster = x[0];
while (left < right) {
if (x[left] <= splaymaster) {
left++;
} else {
swap(x, left, right);
}
swap(x, 0, left - 1);
}
return splaymaster;
}
}
int right = x.length;
The index of the last element in an array is x.length - 1, hence the index is out of bounds. Nonetheless, your algorithm seems incorrect. Merely swapping the elements at different locations is not sufficient. If an element is less than the splaymaster then you need to move all the elements up one and insert the smaller element into the array before the splaymaster. I assume there may be other conditions regarding the way to solve the problem but if there are then they are not clear to me from your question, for example it appears that the order of the elements is not important just as long as all elements before the splaymaster are less than or equal to it. I also assume you need to change the array in place, i.e. you are not allowed to use a second array.
Consider the following code:
import java.util.Arrays;
public class SplayTst {
public static int splay(int x[]) {
int index = 0;
int splaymaster = x[0];
for (int i = 1; i < x.length; i++) {
if (x[i] <= splaymaster) {
int temp = x[i];
for (int j = i; --j >= 0;) {
x[j + 1] = x[j];
}
x[0] = temp;
index++;
}
}
return index;
}
public static void main(String[] args) {
int[] test = new int[]{8, 15, 4, 48, 26, 45, 18, 29, 2, 1};
int ndx = splay(test);
System.out.println(Arrays.toString(test));
System.out.println(ndx);
test = new int[]{90, 8, 15, 4, 48, 26, 45, 18, 29, 2, 1};
ndx = splay(test);
System.out.println(Arrays.toString(test));
System.out.println(ndx);
}
}
Running the above code produces the following output:
[1, 2, 4, 8, 15, 48, 26, 45, 18, 29]
3
[1, 2, 29, 18, 45, 26, 48, 4, 15, 8, 90]
10
Alternatively, assuming that you can use any method to solve the problem, consider the following which uses ArrayList and then converts it to an array and then all the array elements are copied to the original array. Note that the single code line for converting ArrayList<Integer> to int[] is taken from the following question:
How to convert an ArrayList containing Integers to primitive int array?
I refer to this line of the below code:
int[] arr = list.stream().mapToInt(i -> i).toArray();
I iterate through the original array. If an element is greater than the splaymaster then it is appended to the ArrayList, otherwise it is inserted as the first element in the ArrayList.
import java.util.ArrayList;
import java.util.Arrays;
public class SplayTst {
public static int splay(int[] x) {
ArrayList<Integer> list = new ArrayList<>();
list.add(x[0]);
int index = 0;
for (int i = 1; i < x.length; i++) {
if (x[i] <= x[0]) {
list.add(0, x[i]);
index++;
}
else {
list.add(x[i]);
}
}
int[] arr = list.stream().mapToInt(i -> i).toArray();
for (int i = 0; i < x.length; i++) {
x[i] = arr[i];
}
return index;
}
public static void main(String[] args) {
int[] test = new int[]{8, 15, 4, 48, 26, 45, 18, 29, 2, 1};
int ndx = splay(test);
System.out.println(Arrays.toString(test));
System.out.println(ndx);
test = new int[]{90, 8, 15, 4, 48, 26, 45, 18, 29, 2, 1};
ndx = splay(test);
System.out.println(Arrays.toString(test));
System.out.println(ndx);
}
}

Unable to think of a way to shift array

I am stuck and can't think of a way to properly shift an array by __ units. I am trying to create an array of 30 items (numbers 1-30) which can then be shifted to the right by the number the user inputs. This would mean that the first few numbers in the array would take the index's at the end of the array, and the rest of the numbers would be shifted to the left. (Ex, if shift = 3, numbers 1,2,3 would take the index of 27,28,29, and the rest of the numbers 4-30 would shift left making index 0 =4, index 1=5, index 2=6....
import java.util.*;
class Main {
public static void main(String[] args) {
Scanner input = new Scanner (System.in);
System.out.println("\nEnter the shift/rotation:");
int shiftNum = input.nextInt();
int [] numArray = new int [30];
for(int i = 0; i < 30; i++){
numArray [i] = i+1;
System.out.print(numArray[i]+" ");
}
}
}
This is the code I have so far, any suggestions to how I can do this? I have tried to make a separate for loop like
numArray [i-shiftNum] = numArray[i];
But when doing this, the index of 0-shiftNum would be negative and would not work. This is the context of the problem:
Create a program that will create an array of 30 items. Then it will rotate the array by a number selected by the user.
In order to shift the numbers in the array, the following for loop works for shifting the values within the array.
// prerequisite: array is already filled with values
for(int i = 0; i < numArray.length; i++) {
arr[i] += shiftNum;
if (numArray[i] > 30) {
numArray[i] -= 30;
} else if (numArray[i] <= 0) {
numArray[i] += 30;
}
}
According to you code, the array created will contain value from 1 - 30 including 1 and 30. If you want your code to contain values from 0 - 29 instead, change numArray[i] > 30 to numArray[i] >= 30 and change numArray[i] <= 0 to numArray[i] < 0.
Use Java's convenience methods. Most people still want to write for loops. Basically, you need to save off the elements you are overwriting with the shift. Then place those saved ones back in the array. System.arraycopy is nice in that it takes care of some nasty parts of moving elements in an array.
void shift(int shiftBy, int... array) {
int[] holdInts = Arrays.copyOf(array, shiftBy);
System.arraycopy(array, shiftBy, array, 0, array.length - shiftBy);
System.arraycopy(holdInts, 0, array, array.length - shiftBy, holdInts.length);
}
Here is quick fix for you. Please check following code.
Input :
Enter the shift/rotation: 4
Output :
Rotate given array [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]
After Rotate [27, 28, 29, 30, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]
public static void main(String[] args) {
RotationDemo rd = new RotationDemo();
int[] input = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30};
int k = 0;
Scanner scan = new Scanner (System.in);
try{
System.out.println("\nEnter the shift/rotation:");
int shiftNum = scan.nextInt();
if(shiftNum < 30) {
k = shiftNum;
System.out.println("Rotate given array " + Arrays.toString(input));
int[] rotatedArray = rd.rotateRight(input, input.length, k);
System.out.println("After Rotate " +
Arrays.toString(rotatedArray));
} else {
System.out.println("Shift number should be less than 30");
}
} catch(Exception ex){
} finally {
scan.close();
}
}
public int[] rotateRight(int[] input, int length, int numOfRotations) {
for (int i = 0; i < numOfRotations; i++) {
int temp = input[length - 1];
for (int j = length - 1; j > 0; j--) {
input[j] = input[j - 1];
}
input[0] = temp;
}
return input;
}
Hope this example works.

Getting middle value of array to create balanced BST

I'm trying to find the middle element or index of an array then get the middle of each half, so on...
so let say we have [0,1,2,3,4,5,6,7,8,9,10,11,12,13]
what i'm expecting 7, 3, 1, 0, 2, 5, 4, 6 ...
That way when I add elements from the new array, I end up with a balanced BST
start: starting index (0)
end: length - 1
nums: list of numbers to add
b: the tree that will insert to
Code:
public static BST fillBST(BST b, List<Integer> nums, int start, int end) {
int mid = (start + end) / 2;
if (start > end)
b.insertt(nums.get(mid));
else {
fillBST(b, nums, start, mid - 1);
fillBST(b, nums, mid + 1, end);
}
return b;
}
output I get using list [0,31]: 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31
Your recursion is not properly written that's what the problem is. You should always add the mid element and then move to the left and right part if you need so.
So let's do it like that:
public static void main(String[] args) {
List<Integer> list = Arrays.asList(new Integer[] { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 });
List<Integer> res =new ArrayList<>();
fillBST(res, list, 0, list.size() - 1);
System.out.println(res);
}
public static List<Integer> fillBST(List<Integer> b, List<Integer> nums, int start, int end) {
int mid = (int)Math.round((1.0 * start + end) / 2);
b.add(nums.get(mid));
if (start <= mid - 1)
fillBST(b, nums, start, mid - 1);
if (end >= mid + 1)
fillBST(b, nums, mid + 1, end);
return b;
}
This prints
[7, 3, 1, 0, 2, 5, 4, 6, 11, 9, 8, 10, 13, 12]
Other than the recursion condition you can see the different way I calculate mid. By calculating it int mid = (start + end) / 2; you don't round the value but truncate it. So the medium element becomes 6 in your case instead of 7.

arraycopy in Binary Search

I need help with my code here please. I wanted it display the arrays every time it is splitted while containing the key value until it arrives with the simplest array with key value in it then it display "Found!". My problem is, it worked for key = 2 only and not others keys. Please help me for that.
package Search;
import java.util.*;
public class BinarySearch{
/**Example is below of what I expected which is a result I obtained from key = 2
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
[1, 2, 3, 4, 5, 6]
[1, 2]
Found!
**/
public static int binarySearch(int[] list, int key){
int low = 0;
int high = list.length;
while(high >= low){
int mid = (low+high)/2;
int[] temp = new int[high];
System.arraycopy(list, low, temp, 0, high);
System.out.println(Arrays.toString(temp));
int count = 0;
if(key < list[mid]){
high = mid - 1;
if(count<temp.length){
}
}
else if(key == list[mid]){
return mid;
}
else{
low = mid + 1;
}
}
return -1;
}
public static int User(){
Scanner scan = new Scanner(System.in);
System.out.println("Enter key: ");
String input = scan.nextLine();
int user = Integer.parseInt(input);
return user;
}
public static void main(String[] args){
int[] list = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15};
System.out.println("The array: "+Arrays.toString(list));
System.out.println("The key is found at "+BinarySearch.binarySearch(list, BinarySearch.User()));
}
}

Rotate array by arbitrary step size without creating second array

So for a step size of 1, I want the array:
{1, 2, 3, 4}
To become:
{4, 1, 2, 3}
And for a step of size 2 the result will be:
{3, 4, 1, 2}
This is the code I'm using now:
private static int[] shiftArray(int[] array, int stepSize) {
if (stepSize == 0)
return array;
int shiftStep = (stepSize > array.length ? stepSize % array.length : stepSize);
int[] array2 = new int[array.length];
boolean safe = false;
for (int i = 0; i < array.length; i++) {
if (safe) {
array2[i] = array[i - shiftStep];
}
else {
array2[i] = array[array.length - shiftStep + i];
safe = (i+1) - shiftStep >= 0;
}
}
return array2;
}
The code is working great, but is it possible to achieve this without creating a helper array (which is array2 in the code above)?
Thanks!
You can do it without creating as big an array:
// void return type as it shifts in-place
private static void shiftArray(int[] array, int stepSize) {
// TODO: Cope with negative step sizes etc
int[] tmp = new int[stepSize];
System.arraycopy(array, array.length - stepSize, tmp, 0, stepSize);
System.arraycopy(array, 0, array, stepSize, array.Length - stepSize);
System.arraycopy(tmp, 0, array, 0, stepSize);
}
So for a 100,000 array and a step size of 10, it creates a 10-element array, copies the last 10 elements into it, copies the first 999,990 elements to be later, then copies from the temporary array back to the start of the array.
Use not the i++, but i += shiftSize and several loops (amount of them would be equal to gcd of array.length and shifSize).
Then you'll need only one int as buffer and execution time will be almost the same.
You could do it with a couple of loops, but its not easy. Using recursion is simpler in this case.
public static void main(String... args) {
for (int i = 0; i < 12; i++) {
int[] ints = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12};
rotateLeft(ints, i);
System.out.println(Arrays.toString(ints));
}
}
public static void rotateLeft(int[] array, int num) {
rotateLeft(array, num, 0);
}
private static void rotateLeft(int[] array, int num, int index) {
if (index >= array.length) return;
int tmp = array[(index + num) % array.length];
rotateLeft(array, num, index + 1);
array[index] = tmp;
}
prints
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]
[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1]
[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2]
[4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3]
[5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4]
[6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5]
[7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6]
[8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7]
[9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8]
[10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9]
[11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
[12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
Yes it's possible, you'd only need to temporary store one element additional to the array.
Basically what you want to do is to:
store last element in tmp var
shift all elements to the right by one starting with the second to last element
sotre tmp var as first element
repeat from step 1 depending on your stepsize
This is not tested ...
public void rotateByStep(int[] array, int step) {
step = step % array.length;
if (step == 0) {
return;
}
int pos = step;
int tmp = array[0];
boolean inc = array.length % step == 0;
for (int i = 0; i < array.length; i++) {
int tmp2 = array[pos];
array[pos] = tmp;
tmp = tmp2;
pos = (pos + step) % array.length;
if (inc && pos < step) {
array[pos] = tmp;
pos++;
tmp = array[pos];
}
}
}
The idea I'm trying to implement is as follows:
If step isn't a factor of length, then incrementing an index (pos) by step modulo length starting from zero will visit every array element once after length iterations.
If step is a factor of length, then index (incremented as above) will get back to its starting point after length / step iterations. But if you then increment by one, you can process the cycle starting at 1, and then at 2, and so on. After length iterations, we'll have visited every array element once.
The rest is just rippling the element values as we cycle through the element indexes ... with some adjustment when we increment to the next cycle.
The other complete solutions have the advantage that they are much easier to understand, but this one requires no extra heap storage (i.e. no temporary array), and does the job in array.length loop iterations.
In n- 1 iterations
#include <stdio.h>
int main(int argc, char **argv) {
int k = 0, x = 0;
int a[] = {-5,-4,-1,0,1,2,30,43,52,68,700,800,9999};
int N = 0, R = 57; /*R = No of rotations*/
int temp = 0, temp2 = 0, start = 0, iter = 0;
x = 0;
temp2 = a[x];
N = sizeof(a) / sizeof(a[0]);
for ( k = 0; k < N - 1; k++) {
x = x + R;
while ( x >= N ) {
x = x - N;
}
temp = a[x];
a[x] = temp2;
temp2 = temp;
if ( x == start ) {
start = start + 1;
x = x + 1;
temp2 = a[x];
}
iter++;
}
a[start] = temp2;
for ( k = 0; k < N; k++) {
printf(" %d", a[k]);
}
printf("\n");
printf("Done in %d iteration\n", iter);
return 0;
}

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