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persistentBugger.js
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30 lines (24 loc) · 1.04 KB
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//Persistent Bugger
/*
Description
Write a function, persistence, that takes in a positive parameter num and returns its multiplicative persistence, which is the number of times you must multiply the digits in num until you reach a single digit.
For example (Input --> Output):
39 --> 3 (because 3*9 = 27, 2*7 = 14, 1*4 = 4 and 4 has only one digit, there are 3 multiplications)
999 --> 4 (because 9*9*9 = 729, 7*2*9 = 126, 1*2*6 = 12, and finally 1*2 = 2, there are 4 multiplications)
4 --> 0 (because 4 is already a one-digit number, there is no multiplication)
*/
//SOLUTION
function persistence(num) {
let counter = 0;
// Continue looping until num is a single digit
while (num >= 10) {
// Convert the number to a string, split into individual characters,
// map each character back to a number, and then multiply them all together.
num = num.toString()
.split('')
.map(Number)
.reduce((a, b) => a * b);
counter++; // Increase the counter for each multiplication step
}
return counter;
}