IMO 1960 Problem 01

forked:1
favorite:0
lines:41
license : MIT License
modified : 2009-07-07 22:27:12

Embed: Tweet

<?xml version="1.0" encoding="utf-8"?>
<mx:Application xmlns:mx="http://www.adobe.com/2006/mxml" layout="absolute"
                width="480" height="360" backgroundColor="#FFFFFF" xmlns="*">

<mx:ApplicationControlBar dock="true" width="100%">
        <mx:Label id="lblProblem" x="10" y="10" width="380" height="80">
            <mx:text>
            <![CDATA[
         IMO 1960 Problem 01
         Determine all three-digit numbers N having the property
         that N is divisible by 11, and N/11 is equal to the sum of
         the squares of the digits of N.
            ]]>
            </mx:text>
        </mx:Label>
        <mx:Button id="btnSolve" x="395" y="55" click="solve();" label="Solve!" />
    </mx:ApplicationControlBar>
    <mx:Script>
        <![CDATA[
            public function solve():void {
                txtResult.text = "";
                var count:int = 1;

var k:int = 10;
                while (k * 11 < 1000) {
                    // Calculate sum of the squares of the digits
                    var sumSquares:int = 0;
                    var n:int = k * 11;
                    while (n > 0) {
                        var digit:int = n % 10;
                        sumSquares += digit * digit;
                        n /= 10;
                    }

// Check
                    if (sumSquares == k) {
                        txtResult.text += count + ") " + (k * 11) + "\n";
                        ++count;
                    }
                    ++k;
                }
            }
        ]]>
    </mx:Script>
    <mx:TextArea id="txtResult" x="5" y="15" width="470" height="250" />

</mx:Application>

Code Fullscreen

Preview Fullscreen

sort

pv469

IMO 1962 Problem 01

_ex_

forked:0
favorite:0
lines:43 (diff:29)
tag:
- math
- problems