How to generate a right angle Fibonacci Series pyramid in Java? - java

I want to generate an output like this :-
0
0 1
0 1 1
0 1 1 2
0 1 1 2 3
0 1 1 2 3 5
However, i am trying in this way to achieve , but some piece of logic is missing which i am unable to decipher.
Here's what i am trying :-
import java.util.Scanner;
class Fibonacci
{
public static void main(String arr[])
{
System.out.println("Enter a no.");
Scanner input=new Scanner(System.in);
int num=input.nextInt();
int x=0,y=1;
for(int i=0;i<=num;i++)
{
for(int j=0;j<i;j++)
{
System.out.print(j);
}
System.out.println("");
}
}
}
And it generates the output like this (consider num=6)
0
0 1
0 1 2
0 1 2 3
0 1 2 3 4
0 1 2 3 4 5
What logic is required to get the desired output ? Would be thankful if anyone can explain me this :)
Thanks in advance !!

You need to change logic of inner loop like this by adding two previous number to current number and swap them like this.
import java.util.Scanner;
class Fibonacci
{
public static void main(String arr[])
{
int x = 0, y = 0, c = 0;
System.out.println("Enter a no.");
Scanner input = new Scanner(System.in);
int num = input.nextInt();
for (int count = 0; count < num; count++) {
System.out.print(0);
x = 0;
y = 1;
c = 0;
for (int i = 1; i <= count; i++) {
c = x + y;
y = x;
x = c;
System.out.print(" " + c);
}
System.out.println();
}
}
}

First two numbers 0 and 1 are given , no need to caculate .
Use a String to save previous line string .
Caculate next numbers , add it into your previous line string .
Here is an example :
int x = 0 , y = 1;
int num = 6;
System.out.println("0");
System.out.println("0 1");
String str = "0 1";
for(int i = 2 ; i < num ; i ++){
int amt = x + y ;
x = y;
y = amt;
str += " " + amt;
System.out.println(str);
}

In a Fibonacci series only the first two numbers are provided which are 0 and 1. The next number of the series are calculated by adding the last two numbers. The series is limited by the user by providing the number of integers it wants in the series.
Logic: The logic behind creating a Fibonacci series is to add the two integers and save them in a new variable z = x+y and then replace the first integer value by the second integer and second integer value by their sum to move one step ahead in the series x=y adn y=z.
In your problem you want the series to be printed in a right angled triangle so you need to save the series that is already printed in a string
int n = 10;
System.out.println("0\n");
System.out.println("0 1\n");
int x = 0, y=1;
int i=2, z=0;
String str = "0 1";
while(i!=10)
{
z = x+y;
str += " " + z;
x=y;
y=z;
i++;
System.out.println(str);
}
Hope this helps

Related

Why does my output give me the wrong amount of each number?

I am trying to make a program where I can input the size of a 2D array, the highest number in a 2D array, and the most amount of a certain number in the 2D array, and then fill it with random numbers in between 1 and the highest number. In my code, I specify that the max amount of times a number should repeat is 4, yet my output doesn't match that. Any suggestions?
This is my code:
class Main {
public static void main(String[] args) {
System.out.println(fill(6, 9, 4));
}
public static String fill(int size, int max, int most) {
int[][] list = new int[size][size];
int count = 0;
for (int i = 0; i < list.length; i++) {
for (int j = 0; j < list[i].length; j++) {
int x = (int)((Math.random()* max) + 1);
int y = 0;
count = 0;
for (int k = 0; k < list.length; k++) {
for (int l = 0; l < list[k].length; l++) {
if(list[k][l] == x) count++;
}
}
if(count < most) {
list[i][j] = x;
} else {
while(true) {
y = (int)((Math.random()* max) + 1);
if(y != x) break;
}
list[i][j] = y;
}
System.out.print(list[i][j] + " ");
}
System.out.println();
}
return "";
}
}
And this is my output:
9 4 6 1 9 1
7 1 4 4 3 2
6 1 4 2 7 9
5 9 4 7 2 5
3 5 3 5 7 4
3 8 8 6 2 6
Problem: There are 6 "4"s and 2 "8"s
You generate a random number.
You then check if this random number is 'invalid', in the sense that it's been used too many times.
Then, you generate a new random number, check that this isn't the same as your previous number, and then just roll with that. You are failing to check if this number, too, is 'overloaded'. So, what could have happened here is that your algorithm picked '9', counts 9s, finds 4 of them, rolls up a new random number, 9 again, so it rolls yet another number, 4, and just puts 4 in, without checking again.
Rejigger your while loops.
Or, better yet, make a utility class to offload the job of generating a random number, but not a number that's already been returned N times, to a separate class, so that you can untangle this messy code.
Your method
while(true) {
y = (int)((Math.random()* max) + 1);
if(y != x) break;
}
does not check that count of y did not already reached most
Your Issue is here:
while(true) {
y = (int)((Math.random()* max) + 1);
if(y != x) break;
}
list[i][j] = y;
This basically just rules out that x will be repeated more than most, but not y.
On a side note, I recommend using hash maps to keep track of the occurrences instead of iterating over the whole array over and over.

i want to print a series using recursion in java

You have to print a pattern using recursion. Given a input
N
the pattern looks like this
N
,
a
i
,
a
i
+
1
,
a
i
+
2
,.....,
N
. Where if
a
i
>
0
then
a
i
+
1
=
a
i
−
5
else
a
i
+
1
=
a
i
+
5
. It will be a decreasing sequence from
N
till
a
i
<=
0
and then an increasing sequence till
N
. (See sample test cases for better explanation)
Input format
First line contains an integer
T
denoting number of test cases.
For each of the next
T
lines, each line contains an integer
N
.
Output format
For each test case on a new line, print the required pattern.
Constraints
1
<=
T
<=
6
0
<=
N
<=
2000
Example
Input
2
16
10
Output
16 11 6 1 -4 1 6 11 16
10 5 0 5 10
Sample test case explanation
For the first test case
N=16, it will be a decreasing sequence till the printing number becomes <=0.
16 11 6 1 −4
After this point it will be a increasing sequence till the printing number becomes N
1 6 11 16
So the pattern is 16 11 6 1 −4 1 6 11 16.
My code is below but i got the output as 16,11,6,1,-4 only. Help me to correct this code
import java.util.Scanner;
public class Day3
{
public static void series(int n,boolean b)
{
int temp = n;
boolean flag=b;
System.out.println(temp+" ");
if(flag==true)
temp-=5;
else if(flag==false)
temp+=5;
if(temp<=0)
flag=false;
if(temp<=n)
series(temp,flag);
}
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
int t = sc.nextInt();
while(t>0)
{
int n = sc.nextInt();
series(n,true);
t-=1;
}
}
}
Because 'n' changes in every cases. You must create another variable and keep first 'n' in that, for control if temp smaller than 'n'.
For example
import java.util.Scanner;
public class Day3
{
int firstN = 0; //added that line
public static void series(int n,boolean b)
{
int temp = n;
boolean flag=b;
System.out.println(temp+" ");
if(flag==true)
temp-=5;
else if(flag==false)
temp+=5;
if(temp<=0)
flag=false;
if(temp<=firstN) //changed that line
series(temp,flag);
}
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
int t = sc.nextInt();
while(t>0)
{
int n = sc.nextInt();
firstN = n; //added that line
series(n,true);
t-=1;
}
}
}
Also a little tip;
you can use (flag) for (flag==true)
and (!flag) for (flag==false)
Just FYI : Although this can be solved using recursion, it can be solved more efficiently without using recursion. It is as simple as this:
private static void printSeries(int N) {
int T = N;
while ( T >= 0 ) {
System.out.print(T + " ");
T = T - 5;
}
while ( T <= N ) {
System.out.print(T + " ");
T = T + 5;
}
}

Java : Create 1 method to enter 5 numbers into a static array

I am stuck about an exercise. I have to create 2 methods.
For the first method, I would like to enter 5 numbers (via an input)
public static void enterNumber(int[] tab, int numeral){
Scanner input = new Scanner (System.in);
int number = 0;
int y = 0;
for(int i = 0; i<tab.length; i++){
System.out.print("Entrer number " + (i+1) + " : ");
number = input.nextInt();
tab[y++] = tab[i];
}
}
Then, I create display method to display the numbers.
public static void display(int[] tab, int numeral){
for(int x = 0; x<tab.length; x++){
System.out.println(tab[x]);
}
}
I called my methods:
int[] tab = new int[5];
int number = 0;
enterNumber(tab, number);
display(tab, number);
In my input I have this:
Entrer number 1 : 2
Entrer number 2 : 4
Entrer number 3 : 3
Entrer number 4 : 9
Entrer number 5 : 1
However, in my display, I only get the value 0 why ? I have to retrieve the values 2,4,3,9,1.
I don't understand.
0
0
0
0
0
Thank you for your help
You're never actually assigning the input value into your array.
tab[y++] = tab[i];
should be
tab[i] = input.nextInt();
You can get rid of the numeral parameter and the y and numebr variables, you're not using them. You should also close the scanner.

Decreasing number pyramid, nested for loop, user input, java

Write a program to produce the following output for any given integer number between
1 and 9 inclusive.
Enter an integer value [1..9]: 6
1
12
123
1234
12345
123456
666666
66666
6666
666
66
6
I have done the top half but I can not figure out the bottom with the repeating user input.
package lab7;
import java.util.Scanner;
public class problem5 {
public static void main(String[] args) {
Scanner scan = new Scanner (System.in);
System.out.println("Input an integer between 1 and 9");
int input = scan.nextInt();
while (input <= 9) {
for (int i = 1; i <= input; i++) {
for (int j = 1; j <= i; j++) {
System.out.print(j);
}
System.out.println();
}
break;
}
}
}
Expected result: included at the top; actual result so far (input of 5):
1
12
123
1234
12345
You're pretty close. You have a for loop that covers the first half of the output you want. You can add a second for loop to handle the second half of the output.
This is pretty similar to the first loop, but has a few small differences:
instead of the loop variable starting at 1 and increasing, this one starts at input and decreases each time through (i-- instead of i++)
instead of printing any of the loop variables (i or j), it prints the input value ("6" in your example)
for (int i = input; i > 0; i--) {
for (int j = 1; j <= i; j++) {
System.out.print(input);
}
System.out.println();
}
If I run that code locally – so your for loop, then this for loop, then the break statement – this is the output:
Input an integer between 1 and 9
6
1
12
123
1234
12345
123456
666666
66666
6666
666
66
6
I would prefer a more efficient algorithm, your current approach is O(n2); consider the digits '1' - '9'; if we store them in a String then we can take a simple substring of that String for each line at the top (for example, "123456789".substring(0, 3) -> "123") that can be used to generate the top through successive calls to substring. We can use a similar approach to build the bottom; use an array of all possible rows and iteratively call substring. Finally, don't forget to validate that input is between one and nine inclusive. Something like,
Scanner scan = new Scanner(System.in);
String digits = "123456789";
String[] btm = { "1", "22", "333", "4444", "55555",
"666666", "7777777", "88888888", "999999999" };
System.out.println("Input an integer between 1 and 9");
int input = scan.nextInt();
if (input < 1 || input > 9) {
System.err.printf("Invalid input: %d%n", input);
System.exit(1);
}
for (int i = 0; i < input; i++) {
System.out.println(digits.substring(0, i + 1));
}
for (int i = input - 1; i >= 0; i--) {
System.out.println(btm[input - 1].substring(0, i + 1));
}

Having trouble filling an array of binary numbers from an integer

This is the question we were assigned :
Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the state of the coins using a 3x3 matrix with values 0 (heads) and 1 (tails). Here are some examples:
0 0 0 1 0 1 1 1 0
0 1 0 0 0 1 1 0 0
0 0 0 1 0 0 0 0 1
Each state can also be represented using a binary number. For example, the preceding matrices correspond to the numbers:
000010000 101001100 110100001
There are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2, 3,...,511 to represent all the states of the matrix.
Write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding matrix with the characters H and T.
I want the method toBinary() to fill the array binaryNumbers. I realized that this does not fill in 0s to the left. I have to think that through but is that the only thing that is the problem?
//https://www.geeksforgeeks.org/java-program-for-decimal-to-binary-conversion/
import java.util.Scanner;
public class HeadsAndTails {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
int num = input.nextInt();
int[] binaryNumbers = toBinary(num);
for (int i = 0; i < 9; i++) {
printArr(binaryNumbers);
System.out.print(binaryNumbers[1]);
}
}
public static int[] toBinary(int inputtedNumber) {
int[] binaryNum = new int[9];
int i = 0;
while (inputtedNumber > 0) {
binaryNum[i] = inputtedNumber % 2;
inputtedNumber = inputtedNumber/2;
inputtedNumber++;
} return binaryNum;
}
public static void printArr(int[] arr) {
for (int i = 0; i < 9; i++) {
if (arr[i] == 0) {
System.out.print("H ");
} else {
System.out.print("T ");
}
if (arr[i+1] % 3 == 0) {
System.out.println();
} System.out.print(arr[i]);
}
}
}
Looks like you are incrementing the wrong variable in your while loop:
while (inputtedNumber > 0) {
binaryNum[i] = inputtedNumber % 2;
inputtedNumber = inputtedNumber/2;
i++; // NOT inputtedNumber
} return binaryNum;
Also note, a new int[9] is probably already initialized to 0, but if not, you could just loop 9 times, rather than until the inputtedNumber is 0:
for (int i = 0; i < 9; i++) {
binaryNum[i] = inputtedNumber % 2;
inputtedNumber = inputtedNumber/2;
}
return binaryNum;
Finally, I think your array might be backwards when you're done, so you may need to reverse it or output it in reverse order
I realize this is a homework assignment so you should stick with your current approach. However, sometimes it can be fun to see what can be achieved using the built in features of Java.
The Integer class has a method toBinaryString that's a good starting point:
int n = 23;
String s1 = Integer.toBinaryString(n);
System.out.println(s1);
Output: 10111
But as we can see, this omits leading 0s. We can get these back by making sure our number has a significant digit in the 10th place, using a little bit-twiddling:
String s2 = Integer.toBinaryString(1<<9 | n);
System.out.println(s2);
Output: 1000010111
But now we have a leading 1 that we don't want. We'll strip this off using String.substring, and while we're at it we'll use String.replace to replace 0 with H and 1 with T:
String s3 = Integer.toBinaryString(1<<9 | n).substring(1).replace('0','H').replace('1','T');
System.out.println(s3);
Output: HHHHTHTTT
Now we can print this string in matrix form, again using substring to extract each line and replaceAll to insert the desired spaces:
for(int i=0; i<9; i+=3)
System.out.println(s3.substring(i, i+3).replaceAll("", " ").trim());
Output:
H H H
H T H
T T T
If we're up for a bit of regex wizardry (found here and here) we can do even better:
for(String sl : s3.split("(?<=\\G.{3})"))
System.out.println(sl.replaceAll(".(?=.)", "$0 "));
Putting it all together we get:
int n = 23;
String s3 = Integer.toBinaryString(1<<9 | n).substring(1).replace('0','H').replace('1','T');
for(String s : s3.split("(?<=\\G.{3})"))
System.out.println(s.replaceAll(".(?=.)", "$0 "));

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