DrK
ξϡͳѿѤͤޤ
ξϹ⤵180cmλͳѿФơ120cmΤȤޤǤȤȤˤʤ롣
60cmΤȤޤǤѤ4cm^2Τdzμ¤1cmŤĿޤ뤳Ȥˤʤ롣
ͳѿѤ
18033(1/3)=540
ǡ60cmΤȤޤǤ
540(1-(2/3)^3)=540(19/27)=380
60cmˤĤƤ
540((2/3)^3-(1/3)^3)=540(7/27)=140
140/4=35
ǡ׻֤35äȤȤˤʤꡢ35Ĥοͤꤦ
ä
61+35=96

轵꤬̣ҥȤˤʤޤ
ϳڱफ?㤦ʡ 721ڡ 0:13:10 MAIL:satoka@star.odn.ne.jp 25483

DrKƱǤ

ʤФʤʤΤˡΤȤäƷ׻򤷤Ƥ
̤̪ 721ڡ 0:14:40 MAIL:ishizaki@qa.so-net.ne.jp 25484
ԡᲿ˿
ޤѤ˶ʤäƣc֤ˤʤʹ⤵60cmˤޤǤ
ø夫ɬϿϤӤʤˤ顢ޤǤǣΣ

60cmʬѤ140ʤΤǡθ140435äޤ
ȾʬѤc̤ʤΤʬ֤뤳ȤϤʤ35ह٤ƤǤƤޤ

ä613596
ʡ綥Ͼ졡 721ڡ 0:15:50 HomePage:ԤDzԤ25486
ʸ
ΩΤѤ
18033(1/3)(26/27)=520
Ͽ5204=130ˤʤ
ǽ2˰1cm
Ǹϰ4cmΤ
90110꤫ʤäƻפǼĤdzǧޤ
721ڡ 0:21:29 MAIL:kyorofumi@msn.com HomePage:ʸ25487
ߥƥ
ǧڤʤ줿Τʡġġ(ܤ)
721ڡ 0:25:36 HomePage:ߤ25488
ʸ
#25483
ʤۤɡ褯狼ޤ

ƤǶꥢ륿ǻäƤʤä顢ä˼夯ʤä㤤ޤ
⤦Ѥޤ󡣿ޤ(^^;
721ڡ 0:27:17 MAIL:kyorofumi@msn.com HomePage:ʸ25489
taku
Excel׻ְäƤ
ФƤְ㤤Ǥ顦ʢ
721ڡ 0:27:44 MAIL:takuo@kcv.ne.jp 25490
ޥ
褦䤯𤷤ޤäȤɤƤ⳰ʤѻޤ..m(__)m

ǤͥϤǤʬͤ뤫ʤ
PowerBook G4 721ڡ 2:51:56 MAIL:masaru-y@sansu.org HomePage:25491
ʤ
ֿפϣΣȻפޤ
ǤˤʤʤΤǡ
ߤʤƱ͡ܣܣ᣹Ȥޤ
ǤΤϡֿס͡ס
̳ƻ 721ڡ 3:59:47 MAIL:naka@sansu.org HomePage:naka's Home Page25492

Υѥɤ줿ʤ
721ڡ 9:20:47 25493

ޤ⤵ޤǤѤϣʾʤΤǣΣ̤ͤȤ롣
⤵ǤѤϣʲʤΤƱͤ٤Ȥ뤳ȤϤʤʥΥߤˤˤʬѤϣʤΤǡࣴᣳͤȤ롣äƣ+=̤
721ڡ 9:38:24 25494
ޤ륱
¿Ʊͤˡ飶ޤǤΣ̤ȡĤѡࣴ­ޤ
ĤѤ򡢻ͳѿǤϤʤƤäڤޤǤλͳѿǷ׻ƤޤäᡢܣᣱȤʤꡢǧ̤ޤ
礦ʤΤǥץ񤭡äȴְ㤤˵Ť衣
ȤۤۤʤΤǥץव餷ޤRubyǤ

a = Array.new
t = 4.0
(1..12000).each do |n|
h = n.to_f/100
v = 3 * 3 * 180 / 3 - (3 - h / 60) * (3 - h / 60) * (180 - h) / 3
if(v >= t) then
a.push(h.to_i)
t += 4.0
end
end
p a.uniq.size

⤵0.1mm䤷ʤѤ׻Ѥ4cm^3ǹ⤵ˤ˵
Ǹνʣǿץȡ
721ڡ 11:02:10 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱25495
ޤ륱
ȤǡɤʤͤùߤƤʤ褦ʤΤǤҤȤġ

ֲοޤΤ褦ʡפȤޤޤϾˤޤ衣
721ڡ 11:06:44 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱25496
kasama
Ϥ褦ޤ(*^_^*)ͳĹѤV=3^2*180/3=540ȤʤΤǡtʬι⤵
H=180*(1-((V-4*t)/V)^(1/3))
ǤȤϥץǤޤ

import java.util.*;
public class Test {
private static final double V = 540;
private static final double ERROR = 1e-6;
public static void main(String[] args) {
List list = new ArrayList();
for (int t = 1; t <= 130; ++t) {
Integer h = new Integer((int)(180.0*(1.0- Math.pow((V-4.0*(double)t)/V,1.0/3.0)) + ERROR));
if (!list.contains(h)) list.add(h);
}
System.out.println(list);
System.out.println(list.size());
}
}
721ڡ 11:23:49 25497
uchinyan
(ץޤȻפޤ)
ϤˤϡǶᡢƬΤᤰ꤬ϲ񤷤ͤƤޤޤ
Ѥäϡ⤵⤯ʤˤĤҴˤʤΤǡǽϤ٤ƤȤꡢȴФƤʡȤϡʬޤ
Ѳ3ؿˤʤʤʤΤʬΤʤȻפäΤޤ
äŤˤʤäƹͤľȡפϡƱǡѤ 4cm^2 ΤȤݥȤǤ͡
ޤǤϡ⤵ä 1cm ʲʤΤǡ٤ƤȤ뤳ȤǤʾϡ⤵ä 1cm ʾʤΤǡȴǤޤ
ʬȤμºݤι⤵ 1cm 礭ķ֤ΤǡϿƱˤʤ뤳ȤϤʤʬομοϿޤ
ǡ4cm^2 ˤʤΤϡ⤵ 60cm ΤȤʤΤǡޤǤϡ0 ޤ 61 ̤ꡣ
ʾϡѤ1/3 * 2^2 * 120 - 1/3 * 1^2 * 60 = 140 cm^3 ʤΤǡ140/4 = 35 ʬǡ35 ̤ꡣ
碌ơ61 + 35 = 96 ̤ꡢˤʤޤ
ʤǰΤˡperl Ȥǡǧޤ

# Sansuu Challenge 460

$c = 0; $n = 0;
for($h = 0; $h <= 120; $h++) {
$v = 540 - 20 * (3 - $h/60) * (3 - $h/60) * (3 - $h/60);
$ns = $n;
while($n <= $v) {
$n += 4;
}
if($n > $ns) {
$c++;
}
}
print $c;
ͥνȡ 721ڡ 16:10:14 MAIL:uchi@sco.bekkoame.ne.jp 25498
ޥ
ʤ󡢤ޤ륱󤵤ΤŦȤʸܤޤϤޤ꺮Ϥʤä褦ʤΤǡͤʸƤޤ...m(__)m

ʤߤ˺θͥǤʲ1998ǯˤǤ

-------
¿aФk =< a < k+1ߤk[a]ɽnȤơ

f(x)={x^2(2*3^3*n-x)} / {2^5*3^3*n^2}

Ȥ36n+1Ĥ[f(0)][f(1)][f(2)][f(36n)]ΤۤʤΤθĿnѤɽ
PowerBook G4 721ڡ 11:57:13 MAIL:masaru-y@sansu.org HomePage:25499
ϥ饮㡼ƥ
˻ƽޤǤ
MATHEMATICAMATLABȤƽޤ
̶彣 721ڡ 13:12:33 HomePage:ĩ25500
X
֤ס˻äޤʤΨ㤤ΤǻˡǤ͡ǤθͥऺȤDzҤڤ֤͡ʿؤλͽʤʤפäơɤƤäƤȡΥϥɤʬİƤ뤫check ListΤäͽ񡣰˺äƤ⤦褦äơΥΥϥǤ礽ʤΤˤ͡ȴäȡ
721ڡ 14:37:14 25501
uchinyan
⤤˻ǼĤ̤ɤߤޤ
γƱ褦Ǥ͡
#25499 (äȤɲ)
줬ǽФФ˲򤱤ˤʤʤ硢ȤäȤǤ礦
äȤ⡢꤬򤱤С
f(0) = 0 ʤΤǡx 1 礭ƤäȤ f(x) Ӥ 1 礭ɤĴ٤ФΤʡȻפޤ
ޤf(x) ϡ0 <= x <= 36n ǡñĴäǤ뤳Ȥʬޤ
ˤñĴäӤ˴ؤƾܤĴ٤ȡx = 12n 24n դ꤬ˤʤꡢ
0 ʾ 12n ̤24n ʾ 36n ʲǡӤ 1 꾮12n ʾ 24n ̤ǡӤ 1 ˤʤΤǡ
f(0) = 0, f(12n) = 7n, f(24n) = 20n, f(36n) = 27n Ȥ顢Ʊͤ˹ͤơθĿϡ
(7n - 0) + (24n - 12n) + (27n - 20n) + 1 = 7n + 12n + 7n + 1 = 26n + 1
ˤʤꤽ
ɾŤ顢ְäƤ뤫 (^^;
äɲá
դ񤤤Ƥߤơx = 0, 36n 줾˾ȶ硢x = 18n ѶˤʤäƤꡢоŪǤ
x = 12n, 24n դǤϡˡä 1 Ķ뤫ɤζܡȤ櫓Ǥ͡
ͥνȡ 723ڡ 9:01:17 MAIL:uchi@sco.bekkoame.ne.jp 25503
⤢ꤹ55
Dz򤱤ФФ餷ˤƤߤäƤ롣
722ʶ 1:42:39 25504
ʤʤ
ɤä1ʬο夬1cmʾˤʤΤ(ܸ줪)ʤʤҤᤫʤơŤȤˡʬФȻפޤ
723ڡ 20:45:38 HomePage:椫Ť25505
ߤ뤯
ѤƤޤдñǤ͡
DrKƱǤ
2cmޤǤƤͤȤ뤫顢ñ60+1ʣޤޤˤǤ褤
λüФ뤫Ĵ٤뤿ˡѤ׻
ͳѿȹͤơäƤȤˤȡ
Τ3*3*180/3=540
ĺ1cmޤǤ1*1*60/3=20
ĺ2cmޤǤ2*2*120/3=160

Ĥޤꡢդ2cmޤǤ540-160=380ǣdzڤ뤿ᡢüȯʤ
äͤϣ䣶Ǥ뤳Ȥ⡢ޤƤͤȤ뤳Ȥ狼롣

Ĥä2cm1cmޤǤʬѤϡ160-20=140
ʬ֤4cm^2ο夬櫓ʤΤǡ
140/4=35ʬǤäѤˤʤޤ
ʬǤäѤˤʤʤ顢İʾͤϼʤᡢʬϣĤͤȤ뤳Ȥˤʤ롣

ʾꡢ60+35+1(0ޤि)96

Ȥ˲򤭤ޤ˵ŤУʬۤɤǤ͡ġ
724 18:04:16 25506