javascript - Finding remainder of integer not working

Question

I want to find (using JS) the greatest 3-digit number that

leaves a remainder of 1 when divided by 2

leaves a remainder of 2 when divided by 3

leaves a remainder of 3 when divided by 4

leaves a remainder of 4 when divided by 5

This is my code:

var bool = false;
for(var i = 999; bool == true; i = (i - 1)) {
   if(i % 2 == 1 && i % 3 == 2 && i % 4 == 3 && i % 5 == 4) {
      bool = true;
      alert(i);
   }
}

But it did not work (somehow there was no error messages, and the alert did not show up). So how can I find that 3-digit number? Thanks.

Answer 1

The loop continuation condition for your loop is bool == true , which is false when the loop starts and so the loop will never execute. Use this instead:

for(var i = 999; i > 0 && !bool; i = (i - 1)) {

or this to strictly obey the "three-digit number" requirement:

for(var i = 999; i >= 100 && !bool; i = (i - 1)) {

I'd also suggest finding a better variable name than bool . found would be appropriate here.

Answer 2

Your breaking condition is wrong here change it to:

Here is Demo

var bool = false;
for(var i = 999; !bool; i--) {

   if(i % 2 == 1 && i % 3 == 2 && i % 4 == 3 && i % 5 == 4) {
      bool = true;
      alert(i);
   }
}