divide and conquer with recursion - java

Sample with input and outputsI'm trying to apply the divide and conquer theorem on an array of integers in which I am to find the worst case index. On the initial array I have to split it into two on both sides of the midpoint. This is repeatedly done and at each instance the midpoint is deleted. I am to check for the peak on each sub array but in the end I am to print out only the indexes of all the worst cases. In as the input will be the initial length of the array at any given instance. So far I have been able to request and input and print out an array of indices of a given length n. Given that I'm not too familiar with Java yet I don't know how to go about it.
class Peak {
public static void main(String a[]){
List<Integer> al = new ArrayList<Integer>();
Scanner s = new Scanner(System.in);
System.out.println("enter the length of the array: ");
int n = s.nextInt();
for (int i = 0; i < n ; i++)
al.add(i);
System.out.println(al);
int size = al.size();
if (al.size()%2==0) {
//Sublist to ArrayList
ArrayList<Integer> lhs = new ArrayList<Integer>(al.subList(0, (size - 1)/2));
ArrayList<Integer> rhs = new ArrayList<>(al.subList((size + 1)/2, n));
}
if (al.size()%2==1) {
//Sublist to ArrayList
ArrayList<Integer> lhs = new ArrayList<Integer>(al.subList(0, (size - 1)/2));
ArrayList<Integer> rhs = new ArrayList<>(al.subList((size + 1)/2, n));
}
}

Related

How to check if a number is between a range

I have a problem for an online course I am doing. The question is:
Given an Integer x, write a program which generates random numbers between x and 0 until each number in this range has been generated at least once. Once all numbers in this range have been generated, the program should display the numbers which were generated.
I have written a program which I thought would solve this but am having problems with the checking if a number is in the range. Here is my code so far:
public static void main(String[] args) {
Random generator = new Random();
ArrayList<Integer> range = new ArrayList<Integer>();
ArrayList<Integer> generated = new ArrayList<Integer>();
int x = 10;
int count = 0;
for(int i = 0; i<x+1; i++){
range.add(i);
}
while(range.isEmpty() != true){
int temp = generator.nextInt(x-1);
count++;
generated.add(temp);
if(range.contains(temp)){
range.remove(temp);
}
}
}
}
My idea was to first create two arraylists. The first would hold all numbers between 0 and the given x. The second would contain the random numbers generated. I then fill the range arraylist with the range between 0 and x. My While loop then checks this range list to see if it is empty. If not, it generates a random number, adds it to my second arraylist. I then check if this number is in the range arraylist - if it is it removes it and carries on. The problem I am having is it is running into IndexOutOfBoundsException after a few goes. I think this is because I am removing the generated numbers from the arraylist. Can anyone help me with fixing this
EDIT: I cant use any collections or other APIs. This part of the course is mainly about using Arrays and loops etc, not advanced Java stuff.
remove is an overloaded method, there is remove(int) which removes the item at the index specified and there is remove(T) which removes the first object int the list that is equal to the argument you passed in
since you passed an int to the method not an Integer, the first method is chosen
the simpliest modification to your code is replacing range.remove(temp); with range.remove(range.indexOf(temp)); or range.remove((Integer)temp)
also you have to call generator.nextInt(x+1); or else the program will be stuck in an infinite loop
You can just replace range.remove(temp); with range.removeIf(t -> t == temp);
Random generator = new Random();
ArrayList<Integer> range = new ArrayList<Integer>();
ArrayList<Integer> generated = new ArrayList<Integer>();
int x = 10;
int count = 0;
for(int i = 0; i<x+1; i++){
range.add(i);
}
while(range.isEmpty() != true){
int temp = generator.nextInt(x-1);
count++;
generated.add(temp);
if(range.contains(temp)){
range.removeIf(t -> t == temp);
}
}
OR You can use Iterator to remove from the List
for (Iterator<Integer> it = range.iterator(); it.hasNext(); ) {
Integer obj= it.next();
if (obj == temp) {
// Remove the current element from the iterator and the list.
it.remove();
break;
}
}
One more issue in your logic
int temp = generator.nextInt(x-1); The random number you are generating doesn't contain all the numbers. It should be int temp = generator.nextInt(x+2);
Hope the below will meet your requirement.
Random random = new Random();
int x = 3;
List<Integer> range = new ArrayList<>();
for(int i = 0; i <x+1; i++) {
range.add(i);
}
List<Integer> list = new ArrayList<>();
while (!list.containsAll(range)) {
list.add(random.nextInt(x + 1));
}
System.out.println(list);

Adding values to an array of undefined size

I have researched and tried for hours to solve my problem, but the reality is that I can't find anything on it. It is simple really. I need to initialize java arrays of undefined size, and then compare the two. In the process of testing my program, when I have defined the array to a specific length (for example)
int[] array = new int[6];
the code waits until I have entered the six objects to move on to the next segment of code, because it is waiting for 6 integers as defined as the array length. But I can't define the array using
int[] array = {};
it obviously won't work, since array.length function will be 0.
My code is below.
import java.util.Scanner;
import java.util.Arrays;
public class Test {
public static void main(String[] args){
Scanner input = new Scanner(System.in);
// My problem is in the definition of the arrays or the for loops defining them below.
int[] list1 = new int[]; // undefined
int[] list2 = new int[]; // undefined
// ask user to fill the two arrays to see if they are equal
System.out.print("Enter list one >> ");
for (int i = 0; i < list1.length; i++){
list1[i] = input.nextInt();
}
System.out.print("Enter list two >> ");
for (int i = 0; i < list2.length; i++){
list2[i] = input.nextInt();
}
// call the equality testing method and output whether or not the two lists are strictly identical or not.
if (equals(list1, list2) == true)
System.out.println("The two lists are strictly identical");
else
System.out.println("The two lists are not strictly identical");
}
// this method
public static boolean equals(int[] list1, int[] list2){
boolean bool = false;
if (Arrays.equals(list1, list2))
bool = true;
else
bool = false;
return bool;
}
}
I need to initialize java arrays of undefined size,
You need to use an ArrayList or ask the length at the start.
List<Integer> list1 = new ArrayList<>();
System.out.println("Enter numbers, with a blank line to end");
for (String line; !(line = input.nextLine()).trim().isEmpty(); ) {
list1.add(Integer.parseInt(line));
}
// later
if (list1.equals(list2))
or use an array
System.out.println("Enter the number of numbers, followed by the numbers");
int[] array1 = new int[input.nextInt()]; // enter the size first.
for (int i = 0; i < array1.length; i++)
array[i] = input.nextInt();
// later
if (Arrays.equals(array1, array2))
int[] array = {};
it obviously won't work, since array.length function cannot work.
This works as expected and array.length is always 0
I am still unable to fulfill what I am really trying to accomplish, but I've used my code to compromise. It is to allow the user to specify the length before entering integers.
import java.util.Scanner;
import java.util.Arrays;
public class Test {
public static void main(String[] args){
Scanner input = new Scanner(System.in);
System.out.print("How many variables long is the first list? ");
int n = input.nextInt();
int[] list1 = new int[n];
System.out.print("How many variables long is the second list? ");
n = input.nextInt();
int[] list2 = new int[n];
// ask user to fill the two arrays to see if they are equal
System.out.print("Enter list one >> ");
for (int i = 0; i < list1.length; i++){
list1[i] = input.nextInt();
}
System.out.print("Enter list two >> ");
for (int i = 0; i < list2.length; i++){
list2[i] = input.nextInt();
}
// call the equality testing method and output whether or not the two lists are strictly identical or not.
if (equals(list1, list2) == true)
System.out.println("The two lists are strictly identical");
else
System.out.println("The two lists are not strictly identical");
}
// this method
public static boolean equals(int[] list1, int[] list2){
boolean bool = false;
if (Arrays.equals(list1, list2))
bool = true;
else
bool = false;
return bool;
}
}
I see that this question is an older one but I had the same one (or at least similar) and couldn't find answer I was searching for. And now I believe I have the answer for this and would like to share it. Maybe for someone this will be handy.
According to my understanding the question is about creating a single dimensional array with undefined length and the length of this array is going to be increased by the Scanner input. Lot of answers I have seen were about using the ArrayList. But still I wanted to know how to do it with a single dimensional array. First, let me share with you the code and then the explanation:
public class Main {
static Scanner scanner = new Scanner(System.in);
final static int ARRAY_MAX_LENGTH = 400_000_000;
public static void main(String[] args) {
int[] numbers = createIntArray();
displayArray(numbers);
}
public static int[] createIntArray() {
int[] ints = new int[ARRAY_MAX_LENGTH];
System.out.print("Enter numbers: ");
for (int i = 0; i < ints.length; i++) {
ints[i] = scanner.nextInt();
if (ints[i] == 0) {
break;
}
} return ints;
}
public static void displayArray(int[] ints) {
for (int i = 0; i < ints.length; i++) {
System.out.print(ints[i] + " ");
if (ints[i] == 0) {
break;
}
}
}
}
Now the explanation:
We want undefined/infinite array length. The truth is: you can not have it. In programming everything has limit. The byte limit is between -128 to 127 the short limit is -32,768 to 32,767 and the int limit is between -2,147,483,648 to 2,147,483,647. So how do you create array with undefined length? Paradoxically: set the array length. And the length should be the maximum length an array can hold. And then create an exit point when you want the array to accept no more inputs from the Scanner class. I solved it by including in my code the if statement with a break keyword (if(input == 0) break;). Once I do not want to make any input with the Scanner class I just type '0' and press enter and the array does not accept any other input and the inputs made before the '0' is saved int the defined int[] numbers array.
Now coming back to the array max length... I found articles that the array max length is the int max length minus 8 (or something similar). This didn't work for me. I read some posts here on Stack Overflow that the array length depends on the JVM and on other factors I have not explored further. I thing the max array length depends on some settings too but I don't want to lie. This is why I set my array length to 400 000 000. When I set the length to 500 000 000 I got the error:
Exception in thread "main" java.lang.OutOfMemoryError: Java heap space
If you want to use this code just figure out what is your max array length and use it.
For me this problem was interesting to think about but definitely I would not use it in big programs. It is not efficient at all. For newbies: if you have just learned the one dimensional array, be patient, ArrayList is coming in your later studies and it could make things easier.

Why Arrays.sort(arr) is returning 0 values

import java.util.*;
import java.util.Arrays;
class stoner {
public static void main(String[] args)
{
Scanner ob = new Scanner(System.in);
int t = ob.nextInt();
int arr[] = new int[501];
while(t-- > 0)
{
int s = ob.nextInt();
for(int i = 0;i<s;i++)
{
arr[i] = ob.nextInt();
Arrays.sort(arr);
}
for(int i = 0;i<s;i++)
System.out.print(arr[i]+" ");
}
}
}
INPUT:
1(the test case)
5(size of array)
5 2 3 1 4 (the array elements)
OUTPUT:
0 0 0 0 0
Why even after using this sort function we are getting 0's as answer???
If you only fill 5 elements of the array (you entered 5 as the "size of array"), most of the 501 elements of your array will contain 0s by default, and after sorting the array, the 0s come before the positive values you entered.
In addition, you should sort the array just one time, after assigning all the inputs into the array.
Scanner ob = new Scanner(System.in);
int t = ob.nextInt();
while(t-- > 0)
{
int s = ob.nextInt();
int[] arr = new int[s]; // give the array the correct length
for(int i = 0; i<s; i++)
{
arr[i] = ob.nextInt();
}
Arrays.sort(arr); // sort after reading the inputs
for(int i = 0;i<s;i++)
System.out.print(arr[i]+" ");
}
You made int array of 501 elements - all initialized by 0 (because it's int type).
Next, you put 5 random integers - on the beginig of array. So you stil have 496 zeros in it - after Arrays.sort(arr) first five elements of your array (which you are printing on standard output) will be zeros. You should look for your elements at the end of array, or initializie your array with new int[s], of course in the moment where s is known.

Iterating through ArrayList to get 5 Largest Numbers

Yes, this is homework, but I need some help with it. I have been able to make it sort through the highest number, but none of the numbers are correct after that. List of numbers: http://pastebin.com/Ss1WFGv1
Right now, we are learning arrays, so is this simply trying to shoot a fly with a cannonball?
package hw2;
import java.io.BufferedReader;
import java.io.FileReader;
import java.util.ArrayList;
public class HW2 {
public static ArrayList<Integer> nums1 = new ArrayList<Integer>();
public static int size = 0;
public static void main(String[] args) throws Exception {
ArrayList<Integer> sortedNums = new ArrayList<Integer>();
readFile();
System.out.println("Name: Jay Bhagat" + "\n" + "Email: xxxxxx");
size = nums1.size();
for(int l = 0; l<=10;l++){
nums1.set(sortThis(nums1, l), 90009);
System.out.println("\n\n");
}
// for (int k = 0; k <= size - 1; k++) {
// System.out.println("Number " + (k + 1) + sortedNums.get(k));
//
// }
}
public static void readFile() throws Exception {
BufferedReader reader = new BufferedReader(new FileReader("L:\\numbers.txt"));
while (reader.readLine() != null) {
nums1.add(Integer.parseInt((reader.readLine())));
}
reader.close();
}
public static int sortThis(ArrayList<Integer> current, int offset) {
int j = 0;
int tempNum = 0;
int curNum = 0;
int finalIndex = 0;
int prevIndex = 0;
int curIndex = 0;
for (j = 0; j < size-offset; j++) {
curIndex = j;
nums1.trimToSize();
curNum = current.get(j);
//Thread.sleep(1000);
if(curNum!=90009){
if (curNum > tempNum) {
tempNum = curNum;
System.out.println(tempNum);
prevIndex = j;
finalIndex = prevIndex;
}
if (curNum < tempNum) {
finalIndex = prevIndex;
}
}
}
return finalIndex;
}
}
An approach that lets you make just one pass through the list and doesn't require sorting:
Declare an array of 5 integers: int[] largest = new int[5];
Put the first 5 elements in the ArrayList into largest.
Starting with the 6th element, look at each element N in the ArrayList, and if N is larger than any element in largest, throw out the smallest number currently in largest and replace it with N.
If you need to exclude duplicates, the algorithm can be modified easily (just skip over any ArrayList element that's already in largest).
Why not use Collections.sort(List list) or Arrays.Sort(arr). This will save much of effort. Or is it part of your task?
Assuming your collection is sorted, and you want the last 5 elements, try this out:
for (int i = sortedNums.size() - 5; i < sortedNums.size(); ++i) {
System.err.println(sortedNums.get(i));
}
How I would go about doing this:
Create a temporary ArrayList, as a copy of the initial one.
After each largest element is found, remove it from the temporary ArrayList and add it to your 5 largest numbers
Repeat until complete
edit* This does not require your elements to be sorted, and has a fairly poor efficiency as a result
I assume you do not have the liberty to use sort and suchlike, considering this is a homework. So here is outline of an algorithm that you can try to implement
create an array of five integers (we will keep this sorted)
for each element in the list
find the index of the element in the array that it is greater than
if no such element exists in the array (i.e. it is smaller than all elements in the array)
continue on to the next element in the list
else
push all elements in the array to one index below, letting them fall off the
edge if need be (e.g. if the number in list is 42 and the array has
45 and 40 at index 3 and 2 respectively then
move arr[1] to arr[0], and arr[2] (40) to arr[1] and set arr[2] = 42)
end if
end for
At the end the array will have the five elements
I will leave one question for you to answer (it is important): what should you set the array to initially?
You only need two lines of code:
Collections.sort(nums1);
List<Integer> high5 = nums1.subList(nums1.size() - 5, nums1.size());
If you must "do it yourself", the simplest way to sort is a bubble sort:
iterate over the list
swap adjacent numbers if they are in the wrong order
repeat n times
Not efficient but very easy to code.

Numbers I can get by adding an array in java

I need to get a minimum number that I cant get by adding different numbers of an array. Basically if I have these numbers:1,1,1,5; I can get 1,2,3,5,6... but I cant get 4 so that is the number I am looking for. Now this is my code:
import java.util.Scanner;
public class Broj_6 {
public static void main(String[] args) {
Scanner unos = new Scanner(System.in);
int k;
int n = unos.nextInt();
int niz []= new int [n];
for(int i = 0;i<n;i++){
niz[i]=unos.nextInt();
}
BubbleSort(niz);
for(int i = 0;i<n;i++){
System.out.print(niz[i] + " ");
}
for(int br = 1;br<=10000;br++){
for(k = 1;k<n;k++){
if(niz[k]>br){
break;
}
}
int podniz [] = new int [k];
for(int i=0;i<podniz.length;i++){
niz[i] = podniz[i];
}
//This is where I will need my logic to go
}
}
static void BubbleSort (int [] niz){
int pom;
for(int i = 0;i<niz.length-1;i++){
for(int j = 0;j<niz.length-1-i;j++){
if(niz[j]>niz[j+1]){
pom = niz[j];
niz[j] = niz[j+1];
niz[j+1] = pom;
}
}
}
}
}
So the code goes by testing each number individually from 1 to 100000 and makes a subarray of all numbers given that are less than the number itself. Now here is the problem,I dont know how to mix and match the numbers in the subarray so it can get(or not get) the desired number. When every combination is tested and there is no desired number,I will break; the loop and print i. Just to clarify,I can only use addition,and each number can only go in once
You can achieve this as below:
Use two nested loops, like below to calculate the sum of different numbers:
List<Integer> additionList = new ArrayList<Integer>();
int []inputNumbers = .... // Logic to read inputs
for(int _firstIndex = 0; _firstIndex < totalInputs; _firstIndex++){
for(int _secondIndex = _firstIndex + 1; _secondIndex < totalInputs; _secondIndex++){
additionList.add(inputNumbers[_firstIndex]); // only because you have 1 in the sample output
additionList.add(inputNumbers[_firstIndex] + inputNumbers[_secondIndex ]);
}
}
Then sort additionList and look for any missing entry. The first missing entry will be your answer,
Sorting the whole array and then finding sum of all subarrays does solve the problem, but is costly: O(2n^2) ~ O(n^2).
More efficient way to solve this will be Kadane's Algorithm: http://en.wikipedia.org/wiki/Maximum_subarray_problem
What the algo does:
Start from first element and increase the array size (sub array) till you reach the sum you're desiring.
my_num = 1;
while(true){
if(sum_subarray) > my_num){
current position = new subarray;
}
and this subarray concept is calculated through Kadane's approach:
def sum_subarray(A):
sum_ending_here = sum_so_far = 0
for x in A:
sum_ending_here = max(0, max_ending_here + x)
sum_so_far = max(sum_so_far, sum_ending_here)
return sum_so_far
I couldn't solve the problem completely. 'my_num' mentioned here needs to be incremented from 1, and break when my_num > max_sum. I hope someone can add to it and make it compilable.
Note:
This will also take care if negative elements are present in array.

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