Project Euler 249
@see http://projecteuler.net/index.php?section=problems&id=249
♥0 |
Line 102 |
Modified 2010-02-12 14:35:40 |
MIT License
archived:2017-03-30 04:41:19
ActionScript3 source code
/**
* Copyright uwi ( http://wonderfl.net/user/uwi )
* MIT License ( http://www.opensource.org/licenses/mit-license.php )
* Downloaded from: http://wonderfl.net/c/bClk
*/
package {
import flash.display.Sprite;
import flash.text.TextField;
import flash.utils.getTimer;
import flash.events.Event;
// @see http://projecteuler.net/index.php?section=problems&id=249
public class Euler249 extends Sprite {
private var _tf : TextField;
public function Euler249() {
_tf = new TextField();
_tf.width = 465;
_tf.height = 465;
addChild(_tf);
var s : int = getTimer();
tr(solve(5000));
var g : int = getTimer();
tr((g - s) + " ms");
}
// DP. 配列seedを
// seed[部分集合の和]=その和を取りうる部分集合の個数%1E16
// として要素を昇順になめてseedをふくらませていく。
// 最後に部分集合の和が素数のところだけ合計すればOK.
// これ以上簡単にしようがない?ので時間がやたらかかる。
private function solve(N : uint) : Number
{
var base : Array = doEratosthenes(N);
var allsum : uint = 0;
for each(var p : uint in base)allsum += p;
tr(allsum);
var seed : Array = new Array(allsum + 1);
var i : int;
for(i = 0;i < seed.length;i++)seed[i] = [0, 0];
seed[0] = [1, 0];
var sum : uint = 0;
var ind : uint = 0;
addEventListener(Event.ENTER_FRAME, function(e:Event) : void
{
if(ind % 10 == 0)tr("ind : " + ind + "/" + base.length);
p = base[ind];
for(i = sum;i >= 0;i--){
seed[i + p] = N2.add(seed[i + p], seed[i]);
// seed[i + p] += seed[i];
// seed[i + p] -= uint(seed[i + p] / 1E16) * 1E16;
}
sum += p;
ind++;
if(ind == base.length){
var primes : Array = doEratosthenes(allsum);
var ret : Array = [0, 0];
for each(p in primes){
ret = N2.add(ret, seed[p]);
// ret += seed[p];
// ret -= uint(ret / 1E16) * 1E16;
}
tr(ret);
removeEventListener(Event.ENTER_FRAME, arguments.callee);
}
});
return 0;
}
private function doEratosthenes(n : int) : Array
{
var nn : uint = ((n / 2 - 1) >>> 5) + 1;
var ar : Vector.<uint> = new Vector.<uint>(nn);
var i : uint, j : uint;
for(i = 0;i < nn - 1;i++)ar[i] = 0xffffffff;
ar[nn - 1] = (1 << ((n / 2 - 1) & 31)) - 1;
var sq : uint = (Math.sqrt(n) - 3) >>> 1;
for(var p : uint = 0;p <= sq;p++){
if(ar[p >>> 5] & (1 << (p & 31))){
var m : uint = (p << 1) + 3;
var m2 : uint = m << 1;
for(var mm : uint = m * m;mm <= n;mm += m2){
var ind : uint = (mm - 3) >>> 1;
ar[ind >>> 5] &= ~(1 << (ind & 31));
}
}
}
var ret : Array = [2];
for(i = 0;i < nn;i++){
for(j = 0;j <= 31;j++){
if(ar[i] & (1 << j))ret.push((((i << 5) | j) << 1) + 3);
}
}
return ret;
}
private function tr(...o : Array) : void
{
_tf.appendText(o + "\n");
_tf.scrollV = _tf.maxScrollV;
}
}
}
class N2{
public static const N : Number = 1E15;
public static function add(a : Array, b : Array) : Array
{
var r0 : Number = a[0] + b[0];
var rp : int = Math.floor(r0 / N);
r0 -= rp * N;
var r1 : Number = (a[1] + b[1] + rp) % 10;
return [r0, r1];
}
public static function sub(a : Array, b : Array) : Array
{
var r0 : Number = a[0] - b[0];
var rp : int = Math.floor(r0 / N);
r0 -= rp * N;
var r1 : Number = a[1] - b[1] + rp;
return [r0, r1];
}
}