Collatz conjecture (Ulam conjecture or the Syracuse problem)
The Collatz conjecture (also known as the Ulam conjecture or the Syracuse problem) is an unsolved mathematical problem, which is very easy to formulate:
1. Take any natural number
2. If it's even, half it, otherwise triple it and add one
3. Repeat step 2. until you reach 4, 2, 1 sequence
4. You will ALWAYS reach 1, eventually.
(using node js)
Video: https://youtu.be/jo_jxzrUsJ4
process.stdin.setEncoding('utf-8');
})
Output:
1. Take any natural number
2. If it's even, half it, otherwise triple it and add one
3. Repeat step 2. until you reach 4, 2, 1 sequence
4. You will ALWAYS reach 1, eventually.
(using node js)
Video: https://youtu.be/jo_jxzrUsJ4
process.stdin.setEncoding('utf-8');
console.log('Please enter a number. \nTo exit enter: q');
process.stdin.on('data', (data) => {
if (data == 'q\n') {
process.exit();
}
if (isNaN(data)) {
console.log('Enter valid number');
}
let givenNumber = parseInt(data);
let number = '';
while (true) {
if (givenNumber % 2 === 0) {
console.log(givenNumber + ' / ' + 2 + ' = ' + givenNumber / 2);
givenNumber = givenNumber / 2;
} else {
console.log(givenNumber + ' * ' + 3 + ' + ' + 1 + ' = ' + ((givenNumber * 3) + 1));
givenNumber = (givenNumber * 3) + 1;
}
if (givenNumber === 4) {
number += 4;
}
if (givenNumber === 2) {
if (number === '4') {
number += 2;
}
}
if (givenNumber === 1) {
if (number === '42') {
number += 1;
}
}
if (number === '421') {
process.exit();
}
}
Output:
let m =1;
ReplyDeletelet trueFlag=true;
let array=[];
while(trueFlag){
let n=m;
f(n)
}
function f(n) {
let sol;
if(n%2===0){
sol = n/2;
}else{
sol= 3*n+1;
}
console.log(sol);
let flag=array.indexOf(sol);
if(flag===-1){
array.push(sol);
}else{
array.splice(flag,1);
array.push(sol);
}
m=sol;
if(array.indexOf(4)>=0 && array.indexOf(2)>=0 && array.indexOf(1)>=0 ){
if(array.indexOf(4)<array.indexOf(1) && array.indexOf(4)<array.indexOf(2) && array.indexOf(2)<array.indexOf(1)){
trueFlag = false;
}
}
}
That doesn't work if user has entered 4 or 2.
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