ǽ700äƤޤޤ(-_-)
顼θ 121ڡ 0:07:31 HomePage:26246
Taro
710000107üڼΤƤǤȤˡä޵Ťޤ
121ڡ 0:10:24 26247
ޥ@ݤ
ѹФεݤ󣲤ƥȤ⤫ͤƽ񤭹ߤǤ

ΤäƤͤˤϽֻ꤫ȻפޤޤǺäΤǡߥʸԶ礬ۤǤ
Ǥ󤷤㡩 121ڡ 0:11:48 26248
atomick
#26246
ƱȤäƤޤޤǶĤ뤳Ȥ¿ȿʡ
121ڡ 0:14:01 26249

ǽ700äƤޤޤʿ2ǯ6֤䡢ʿ9ǯɸر4֡ʤ¾¿ˤǤ͡
121ڡ 0:18:36 26250
aaa
ʧۤߤˤʤ룹ߤȤκۣ
Ĥޤꣶ
121ڡ 0:20:20 26251

äƤޤw
121ڡ 0:38:42 26252
ޥ
𤷤ޤ

ȤꤢߥϤʤä褦ǡۥäȤƤޤ(^^;;
PowerBook G4 121ڡ 0:40:41 MAIL:masaru-y@sansu.org HomePage:26253
Ȥ
11ǤΤ륵Ȥ3ܤŰץ(basic)
for x=1 to 9346
let y=x*1.07
let z=truncate(y,0)
print z
next x
end
󤵤η̤β˥ޥ򤪤9346
110000-9346=654ġ()
ͼΥȤޤ򤷤ƤʤΤǤޤͽǤ
˭ԡ 121ڡ 5:07:40 MAIL:fttnm528@ybb.ne.jp 26254

ʬʤäΤǤ󤻤٤
9347߰ʾΤΤΤ㤦ǹߤǣĶޤ͡
121ڡ 7:02:53 26255
???
Sub Macro1()
Cells(1, 1).Value = 0
Dim a(10000) As Integer
Dim kingaku As Integer
Dim j As Integer
For j = 1 To 10000
a(j) = 0
Next j
For j = 1 To 10000
kingaku = Int(j * 1.07)
If kingaku <= 10000 Then
a(kingaku) = 1
End If
Next j
For j = 1 To 10000
If a(j) = 0 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = j
End If
Next j
End Sub
121ڡ 8:40:49 26256
ϥ饮㡼ƥ
ProgramǤޤɤץǤϤʤäΤǤ
ǵޤޤ
̶彣 121ڡ 9:02:13 HomePage:ĩ26257
kasama
Ϥ褦ޤ

public class Question479 {
public static void main(String[] args) {
boolean[] kin = new boolean[10001];
for (int i = 0; i < kin.length; ++i) kin[i] = false;
for (int n = 1; ; ++n) {
int k = 107*n/100;
if (k >= kin.length) break;
kin[k] = true;
}
int count = 0;
for (int i = 1; i < kin.length; ++i) if (!kin[i]) ++count;
System.out.println(count);
}
}
121ڡ 9:41:08 26258
֡
Dz򤤤Ǥ
100009346Ȥޤạ̈狼ʤǤɡġïܤƤ館ޤ󤫡
121ڡ 10:24:22 26259
ߤ
֡󤵤󡢤ĤޤꤳȤǤ
Dz򤤤ʤ顢äȤǤ狼äƤȿޤ
ޤǹߤ10000ߤȴʤͤޤ礦9346ߤǤ͡
Ȥ櫓ǡ1ܤ19346ο񤭤ޤ
ơ2ܤ1ܤͤ1.07ܤͤ׻ޤ
󤳤ΤȤǤϻͼθͤɽǤʤȻפޤΤǡ
ϹפƤ^^;(ʤƤϽФȻפޤ)
ȡ2ܤˤǹβʤФƤȻפޤ
9346׹ܤǡ2ܤͤ10000פˤʤäƤϤǤ
ȤȤϡ9346ܤޤǤδ֤ˡ100009346׸Ĥο
¸ߤƤʤ櫓Ǥ顢654ȤȤˤʤޤ
ĹʤäƤߤޤ^^;
121ڡ 11:33:08 26260
ߤ
()ΡϡפäƤΤϡ654ȤΤϡפäƤȤǤ
ȡ3ܤΡ(ޥʥ)֡פˤʤääƤޤ͡
ޤ^^;
ߤɡ 121ڡ 12:36:14 26261
uchinyan
ϤˤϡϤɤ⤦ĤǤ
654ġϡץȤǤ˽Фޤperl Ǥ

# Sansuu Challenge 479

$r = 1.07; $n = 10000;
@p = ();
foreach (1..$n) {
$a = int($_ * $r);
if($a <= $n) {
push(@p,$a);
}
}
$c = $n - @p;
print "ꤨʤۤθĿ$c";

ʤΤǤݥȤϡ
0.07 * 15 = 1.05 ʤΤǡ15 ܤȡ 14Ǿǹߤζۤ +1 줽ʤȡ
10000 * 1.07 = 10700 ʤΤǡ¿Ȥ⡢ǹߤζۤΤ 700 İʲΤꤨʤۤ뤳ȡ
Ǥ礦ºݤ˾äƤߤȡԤ;ñǤϤʤ褦ǡ줬ޤ
ΤɾݤʤΤǡ10000/1.07 = 9345.79... ꡢ褽
9345 * 1.07 = 9999.15 -> 9999
9346 * 1.07 = 10000.22 -> 10000 = 9999 + 1
...
9356 * 1.07 = 10010.92 -> 10010
9357 * 1.07 = 10011.99 -> 10011 = 10010 + 1
9358 * 1.07 = 10013.06 -> 10013 = 10011 + 1 + (+1)
...
9370 * 1.07 = 10025.90 -> 10025
9371 * 1.07 = 10026.97 -> 10026 = 10025 + 1
9372 * 1.07 = 10028.04 -> 10028 = 10026 + 1 + (+1)
<--- 9372 = 9358 + 14
...
9999 * 1.07 = 10698.93 -> 10698
10000 * 1.07 = 10700 = 10698 + 1 + (+1)
Ȥʤ뤳Ȥ顢[x] x ʬͿȤ(륬ε)
(10700 - 10000) - [(10000 - 9346)/14] = 700 - [654/14] = 700 - [46.7...] = 700 - 46 = 654
ȤäƤߤޤ
Ϥ줬ʤΤǤη׻Ǥϡ̤ˤϡ֥줬Ф褦Ǥ
ϡǼĤɤٶޤ
ͥνȡ 121ڡ 12:53:07 MAIL:uchi@sco.bekkoame.ne.jp 26262
uchinyan
()
#26262
ءʥ쥹Ǥʬβɤ֤ƤƵդޤۤߤ˴ñǤ
ǹȾǹ߸ȤְабƤפΤݥȤǤ
ϡn -> [1.07 * n] ǡn+1 -> [1.07 * (n+1)] = [1.07 * n + 1.07] >= [1.07 * n] + 1 ꡢ餫Ǥ͡
ȡ10000/1.07 = 9345.79... ꡢ
9345 * 1.07 = 9999.15 -> 9999
9346 * 1.07 = 10000.22 -> 10000
顢ǹߤζۤǤꤨʤĿϡǹ߸ 10000 ĶƤޤǹ 10000 ϤʤĿ
Ʊˤʤꡢ10000 - 9346 = 654 ĤǤ
ʤץϤꤷǥ󥰤ˤʤäƤޤϥХʤɡ¤ϡ˵դ
ȡ(10700 - 10000) - [(10000 - 9346)/14] = 700 - [654/14] ΰ˽ФƤ뤷
Ҥ㡼餷ޤ (^^;
ͥνȡ 121ڡ 21:53:30 MAIL:uchi@sco.bekkoame.ne.jp 26263
Ĺ
Ƥޤä
#26259
(ȴ)ǹߤǤϡǤ



9346\10000
Ȥʤޤκοϡ9346 ޤǡϢ³Ǥ
Ĥޤꡢ9346 ԤΡ ޤ
οϤɤȴƤΤǤ
ˤƤ⡢100009346654 ĤȴƤޤ
ʢαˡƱİʾʤȤǤɤǤ)
Ϥޤޤġ 121ڡ 13:11:34 HomePage:åȬ26264
uchinyan
ǼɤߤޤϤꡢϡ#26263Ǥ褦Ǥ͡
ˤƤ#26262θȾѤɡޤ#26263¤ȤƤϰ̣뤫顢äʤǤȤäƤޤ ^^;
ͥνȡ 121ڡ 13:16:33 MAIL:uchi@sco.bekkoame.ne.jp 26265

Ʊꡢ˺äȤ롦
121ڡ 15:21:58 26266

Ʊꡢ˲򤤤Ȥ롦
Ϥޤޤġ 121ڡ 17:22:57 HomePage:åȬ26267
⡼ޥ
10000/1.07=9345
9345Ĥϡ x 1.07=[m]ߤˤʤΤ뤳Ȥˤʤ롣
ͤƤΤϡ[m]ο9345ĤΤΡ
0ߤϰ̣ʤ顢9999-9345=654

ºݤϡ㤰ͤޤ
121ڡ 20:24:21 MAIL:kennji72001@yahoo.co.jp 26268
⡼ޥ
#26247
Taroء
ΥޡȤʲˡβ⤪ꤤǤޤǤ礦
121ڡ 20:30:14 MAIL:kennji72001@yahoo.co.jp 26269
DrK
ξ107ߤȤ7Ĥζۤ¸ߤʤȤˤʤޤ2ιͤ10000ߤ107ߤdz93;꤬49ߤȤʤޤ0ߤ49ߤδ֤ˤ¸ߤʤۤ15ߡ30ߡ45ߤ3Ǥ
ʾ夫937+3=654
٤Ͼγڱࡡ 122ʶ 1:25:05 MAIL:satoka@star.odn.ne.jp 26270
ߤ
֡󤵤󡢤ĤޤꤳȤǤ
Dz򤤤ʤ顢äȤǤ狼äƤȿޤ
ޤǹߤ10000ߤȴʤͤޤ礦9346ߤǤ͡
Ȥ櫓ǡ1ܤ19346ο񤭤ޤ
ơ2ܤ1ܤͤ1.07ܤͤ׻ޤ
󤳤ΤȤǤϻͼθͤɽǤʤȻפޤΤǡ
ϹפƤ^^;(ʤƤϽФȻפޤ)
ȡ2ܤˤǹβʤФƤȻפޤ
9346׹ܤǡ2ܤͤ10000פˤʤäƤϤǤ
ȤȤϡ9346ܤޤǤδ֤ˡ100009346׸Ĥο
¸ߤƤʤ櫓Ǥ顢654ȤȤˤʤޤ
ĹʤäƤߤޤ^^;
122ʶ 10:05:11 26271
uchinyan
2005/12/08Ѥߤޤ󡣥ߥޤޤ
#26269 #26270
TaroμϻⵤˤʤäƤơ#26262θȾȤδطꤽʵƤޤ
ǺͤȤǤDrK#26270Ʊ褦Ǥ޳ѹͤΤǡ񤭹Ǥޤ
#26262ǽҤ٤褦ˡۤܡ14 15 μǰĿȴޤüΤǡΤˤϤʤޤ
ǤϤɤʤ뤫ȤȡDrK󤬤äȤꡢǹ 100 ߤޤǡǹ߸ 100 * 1.07 = 107 ߤޤǤǡ
107 - 100 = 7 Ĥοȴޤ줬Τʵ§ˤʤäƤޤ
ʤߤˡ[100/7] = 14[107/7] = 15 ʤΤǡ14 ڤ 15 ϡǹڤӾǹ߸εˤʤäƤޤ
ǡǹ߸ 10000 ߤޤǤǡ10000/107 = 93 ; 49 ʤΤǡ
7 * 93 = 651 Ĥȡ; 49 ʬ 1 49 ߤξƱǡ15 ϰϤ 49/15 = 3 ; 4 3 ȴޤ
; 49 ʬϡ49 * 7/107 = 3 ; 22 ȤäƤ⤤Ǥ͡ǤϡȤޤ
ǰΤˡŪˤϡ
9299 * 1.07 = 9949.93 -> 9949
9300 * 1.07 = 9951-> 9951 : 9950 ȴ <--- 107 ߤ 7 ȴǸ <-----
9301 * 1.07 = 9952.07 -> 9952
...
9314 * 1.07 = 9965.98 -> 9965
9315 * 1.07 = 9967.05 -> 9967 : 9966 ȴ
...
9328 * 1.07 = 9980.96 -> 9980
9329 * 1.07 = 9982.03 -> 9982 : 9981 ȴ
...
9342 * 1.07 = 9995.94 -> 9995
9343 * 1.07 = 9997.01 -> 9997 : 9996 ȴ
9344 * 1.07 = 9998.07 -> 9998
9345 * 1.07 = 9999.15 -> 9999
9346 * 1.07 = 10000.22 -> 10000
ˤʤޤ
äơɡ651 + 3 = 654 ȴޤ
ʾΤȤޤȤưĤμǽ񤯤ȡ
7 * 10000/107 = 7 * (93 + 49/107) = 7 * 93 + 7 * 49/107 = 7 * 93 + 3 + 22/107 = 654 + 22/107
ȤʤꡢTaroμȤʬޤ
פˡTaroμΥݥȤϡ־ǹ߸ζۤǡ107 ߤ 7 ȴפȤǤ͡
Ʊͳǡ7 * 9346/100 䡢#26262θȾȤ⡢㴳θδϤޤȻפޤ
ʤʾϡμȤä̲ˤʤäƤޤ
ͥνȡ 128ڡ 17:00:43 MAIL:uchi@sco.bekkoame.ne.jp 26272
⡼ޥ
#26272
uchinyanء
ɤǤĤޤϡȴǿäƤȤǤ͡

̤s%ξǤΤȤǤ⡢m x (1+s/100) = [M]
б櫓顢ǹߤ10000 ߰λʧۤϡ
[10000/(1+s/100)] = S Ǥ͡
顢ʧۤȤƤʤۤμϡ
9999-S Ⱦ˸ޤ͡
122ʶ 11:50:35 MAIL:kennji72001@yahoo.co.jp 26273
uchinyan
#26273
9999-S Ⱦ˸ޤ͡
Ϥפޤ٤פʤ ^^;
¿ʬηǼĤǤ¿ǽ񤯤ȡ10000 - ([10000/(1+s/100)] + 1) ȤʤꤽǤɡϡ
10000 - ([10000/(1+s/100)] + 1) = 10000 - (S + 1) = 9999 - S
Ǥ
βˡǤϡ[s * 10000/(100+s)] Ǥ
[s * 10000/(100+s)] = [((100+s) - 100) * 10000/(100+s)] = [10000 - 10000/(1+s/100)] = 10000 - [10000/(1+s/100)] - 1 = 9999 - S
ǡƱǤ͡ޥʥξ [ ] ΤϤ񤷤ǤƤߤȡüˤ -1 Ǥ褦Ǥ

(äɲ)
ǰʤ顢ְ㤤Ǥ
10000/(1+s/100) ڤȤ㤨 s = 0, 60, 100 ʤɡϡ10000 - S ˤʤ褦Ǥ
ͥνȡ 124 8:30:29 MAIL:uchi@sco.bekkoame.ne.jp 26274
⡼ޥ
#26274
uchinyanء
10000/1.07=9345
9346x1.07=10000.22
9347x1.07=10001.29
顢10000-9346=654 Ǥ
Ĥޤꡢ=[10001/(1+s/100)] ΤϤʤΤǡ
ϡ10000-S ȤʤϤǤ
ȡڤ줿-1 Ǥ͡
0ߤȤϴطʤäorz
123ڡ 8:40:31 MAIL:kennji72001@yahoo.co.jp 26275
uchinyan
#26274
⤦Ĵ٤Ƥߤޤǰʤ顢9999 - [10000/(1+s/100)] Ǥʤ s ϡޤޤꤽǤ
ΰüϡξȤطޤ
#26275
ʤۤɡޤäƤޤ͡Ǥ⡢10000 - [10001/(1+s/100)] ⡢㤨Сs = 37, 46 ʤɤþޤ
ɤƤʬޤ
ͥνȡ 123ڡ 11:21:10 MAIL:uchi@sco.bekkoame.ne.jp 26276
⡼ޥ
#26276
uchinyanء
s=37,46 ϡ10001 dzڤ㤦Ǥ硩
ξϡ10000-S-1 ǤǤ͡#26275
123ڡ 13:45:42 MAIL:kennji72001@yahoo.co.jp 26277
⡼ޥ
#26277
10001 ϡ1.37,1,46 ǡڤäƸ̣Ǥ
10001=137x146x50 顢100% ̤ξǤϤ⤦ʤǤ͡
123ڡ 14:05:50 MAIL:kennji72001@yahoo.co.jp 26279
uchinyan
#26277#26279
Ǥ10000 礦ȴΤǡ10000-S Ǥϡ᤮Ƥޤޤξϡ10000-S+1 Τ褦Ǥ
9999-S Ǥޤʤ⡢褦ʾ褦Ǥ
10000 10001 θĿκ̼¿ξ򥫥СǤ뤫ɤ˱ƶƤ褦Ǥ
Ѥʹפ򤷤ʤǡĤμǼ˽񤭲̼Τϡʤʤ񤷤Ƥޤ
ͥνȡ 124 8:10:55 MAIL:uchi@sco.bekkoame.ne.jp 26280

ˤ㤤ʪ򤷤dzŵʤɤǡʧۤˤʤäиϤޤ󤫡䤬ΤϡߡȤۤϡʪʤȤƤϤꤨʤʧۤȤƤϤȹͤΤǤϤʤȤȤǤȡ߰ʲλʧۤμϡȹͤ뤳ȤǤޤ줫顡ξ礢ۤμࡡȡʤۤμϡȹͤޤ
123ڡ 18:02:37 26281
Taro
#26269
#26272uchinyanפƤ̤ꡢǹͤƤޤ
ꤵ줿ȤˤϤޤûǤϵŤƤ餺107ߤ7Ĥǡ
93107901071071079951ߤǤޤǤ793651
Ȥ107/7ߤȤʤΤ3ĤۤɤΤȹͤƤꤷޤ
123ڡ 23:02:12 26282
ޥ
#26281

ʤۤɡʧۣߡǤ...ŪʻȤƤϡݥȴԸǣߤˤʤ롢ȤΤϹͤޤ󤬡ޤФˤʤפȤϸʤΤΤޤ󡣤˥ɥХۥݥȤǻʧäȤ⤢ޤ

Ȥ櫓ǡդˤǤֺǤϡʧۣߤϹͤʤΤȤޤפȤ줵Ƥޤm(__)m
PowerBook G4 124 15:03:33 MAIL:masaru-y@sansu.org HomePage:26283
Plutonian
ȷ㸶פʤΤܤΤޤϡ
ޤˡȷ㸶פʤȻפޤ
ȤƤ ⤷ͤθǤ

Ǥˡ11бפ˾äƤޤ
ʬ䤹ͤΤǤ

ޡȷ 9346뤳Ȥ򥤥᡼Ƥ
ơ110000ֹ椬դ줿10000Ĥζȷˤ¤Ǥޤ
1Ĥȷˤˤ1ޤ
ǡ9346ȷƤ٤Ƥ줫ȷˤޤ
ȡȷɤȤ߹碌򤷤褦Ȥ⡢
Ȥˤ 654ĤȷˤĤޤ͡

ʤʤ ⤷Ǥ硪
̽ꡡ 125ʷ 0:37:30 26284
Plutonian


Ƕϡ¦Υ'' ȡȤϺȿФεȤȤˤ
¦Υ'' ȤȤϺȿФεȤȤˤȤ
Ȥʬ뷹ˤ褦Ǥ

¦εϡοξ硢ڤ夲ǡ
¦εϡ '[]' Ʊοξ硢ڤΤơˡ
ʺΤ褦ˡڤ夲ǹͤȤ¿Ǥ͡ˡ

οǹͤȡsξǤΤȤϡ
10000ݡ10000/{(100s)/100}ϡʾ¦ѡ
ɽȻפޤ

ΥɽȤСäοˤƽ뤳ȤˤʤȻפޤ
10000[10000/{(100s)/100}]
̽ꡡ 125ʷ 1:10:37 26285
Plutonian


Ƕϡ¦Υ'' ȡȤϺȿФεȤȤˤ
¦Υ'' ȤȤϺȿФεȤȤˤȤ
Ȥʬ뷹ˤ褦Ǥ

¦εϡοξ硢ڤ夲ǡ
¦εϡ '[]' Ʊοξ硢ڤΤơˡ
ʺΤ褦ˡڤ夲ǹͤȤ¿Ǥ͡ˡ

οǹͤȡsξǤΤȤϡ
10000ݡ10000/{(100s)/100}ϡʾ¦ѡ
ɽȻפޤ

ΥɽȤСäοˤƽ뤳ȤˤʤȻפޤ
10000[10000/{(100s)/100}]
̽ꡡ 125ʷ 1:29:38 26286
⡼ޥ
#26186
PlutonianˡǤ⡢1.0001 ΤȤĤޤꡢǤ0.01% ΤȤϡ+1 ʤΩʤ褦˻פޤ
㤦ʤ
125ʷ 9:21:46 MAIL:kennji72001@yahoo.co.jp 26287
uchinyan
#26285 (#26286)Plutonianء
˴ؤ򤤾󤢤꤬Ȥޤ
ϤŪˤϤ̤Ȼפޤ
s = 7% ϤȤ⤫ǰʤ顢̼˴ؤƤϡޤϸʤ褦Ǥ
ڤ夲Υ < > Ƚ񤯤Ȥˤȡɡx ξˤϡx = a.ba ʬb ϾʬȤơ
[x] = [a.b] = a
<x> = <a.b> = a+1 = [x] + 1 for b not= 0
<x> = <a.b> = a = [x] for b = 0
ʤΤǡɡ9999 - [10000/(1+s/100)] 10000 - [10000/(1+s/100)] ƱˤʤȻפޤ
[10000/(1+s/100)] ڤˤϲޤʳǤϤޤʤ褦Ǥ
Ūˤϡs = 11, 17, ... ʤɤþ褦Ǥ
ʤb not=0 ξϡ<x> = <a.b> = a+1 = [(a+1).b] = [a.b + 1] = [x+1] Ȥ񤱤ޤ͡

(ĤǤɲ)
(äȽ)
Plutonian󤬽񤫤Ƥ褦ˡ̤ˡ<x> = -[-x] ˤʤ褦Ǥ
x > 0 ξ硧
x = a+b > 0, a > 0, 1 > b >= 0 Ȥơ
b not= 0 ξϡ
<x> = <a+b> = a+1, ڤ -[-x] = -[-a-b] = -(-(a+1)) = a+1 ǡ<x> = -[-x]
([-4.5] = [-4-0.5] = -5 ʤɤˤʤ뤳Ȥա)
b = 0 ξϡ
<x> = <a> = a, ڤ -[-x] = -[-a] = -(-a) = a ǡ<x> = -[-x]
Ĥޤꡢ<x> = -[-x] Ǥ
x = 0 ξ硧
<x> = -[-x] 餫
x < 0 ξ硧
-x = a+b > 0 Ȥơb not= 0 Ǥ b = 0 Ǥ⡢
<x> = <-a-b> = -a, ڤ -[-x] = -[a+b] = -(a) = -a ǡ<x> = -[-x]
(<-4.5> = <-4-0.5> = -4 ʤɤˤʤ뤳Ȥա)
ʾꡢɡ<x> = -[-x] ˤʤޤ
ͥνȡ 126ʲС 12:55:07 MAIL:uchi@sco.bekkoame.ne.jp 26288
uchinyan
#26288 ڤӤδϢ񤭹
ڤ夲Υ < > Ƚ񤤤ơ
10001 - <10001/(1+s/100)>
ϡ<x> = -[-x]
10001 + [-10001/(1+s/100)]
ϡޤʡ

(ɲ)
礳礳ȥץȤǡs 0.01 0.01 ߤ 100 ޤǤϰϤĴ٤¤Ǥϡޤ褦Ǥ
ͥνȡ 125ʷ 11:36:03 MAIL:uchi@sco.bekkoame.ne.jp 26289
⡼ޥ
#26289
uchinyanء

10001 - <10001/(1+s/100)> ΤȤϡ褦ʡ
äơڤ夲顢⤬[10002/(1+s/100)] ꤽȤȤϡ2;ʬ˿夲Ƥǽޤ顢ΤȤϡ⤦+1 ɬפʵǤ
125ʷ 14:58:59 MAIL:kennji72001@yahoo.co.jp 26290
uchinyan
#26290
äԻ׵ĤʤǤʤʤ褦Ǥ
äơڤ夲顢⤬[10002/(1+s/100)] ꤽ
ȤȤϡ2;ʬ˿夲Ƥǽޤ顢ΤȤϡ⤦+1 ɬפʵǤ
㤨Сꡢs = 7 ξ硢
<10001/(1+7/100)> = <9346.7...> = 9347
[10002/(1+7/100)] = [9347.6...] = 9347
ǡΤ˰פޤ
10001 - <10001/(1+7/100)> = 10001 - 9347 = 654
ȤʤꡢǤޤ10000 - [10001/(1+s/100)] ǥä s = 37 ξ硢
<10001/(1+37/100)> = <7300> = 7300
[10002/(1+37/100)] = [7300.7...] = 7300
ǡϤפޤ
7299 * 1.37 = 9999.63 -> 9999
7300 * 1.37 = 10001 -> 10001
ʤΤǡϡ10000 - 7299 = 2701 Ǥ
10001 - <10001/(1+30/100)> = 10001 - 7300 = 2701
ȤʤäơͿޤ
ºݡ[10002/(1+s/100)] Ȱפ¿롢षפ¿ΤǤ
ץǥå¤Ǥϡʤ褦ǡͿ褦Ǥ
ʤ㤨Сs = 30 ϡ
<10001/(1+30/100)> = <7693.07...> = 7694
[10002/(1+30/100)] = [7693.8...] = 7693
ǰפޤ󤬡
7692 * 1.30 = 9999.6 -> 9999
7693 * 1.30 = 10000.9 -> 10000
7694 * 1.30 = 10002.2 -> 10002
ʤΤǡϡ10000 - 7693 = 2307 ǤϤꡢ
10001 - <10001/(1+30/100)> = 10001 - 7694 = 2307
ȤʤäơͿޤ
٤ϡ褯ʬޤ󤬡ʤȤ⥹⡼ޥ󤵤Τͤϡǰʤ顢ʤ褦Ǥ
ʤǤ⡢ˤƤϤޤԤ᤮Ƥ褦ʡ
ͥνȡ 125ʷ 18:49:04 MAIL:uchi@sco.bekkoame.ne.jp 26292
⡼ޥ
#26292
uchinyanء
10001 + [-10001/(1+s/100)]
ǼǤ
ȡ10001 - <10001/(1+s/100)> Ʊͤʤ錄褤褦˻פޤ

2㤦¸ߤޤ͡
10002/(1+s) ڤȤ=m ΤϤ顣
<10001/(1+s)>=<(10002-1)/(1+s)>=<m-0.>=m Ǥ͡
2ˤʤ뤳ȤϤʤ
126ʲС 1:51:28 MAIL:kennji72001@yahoo.co.jp 26293
uchinyan
#26293
ȡ<x> = -[-x] ξϡ#26288ɲäƤޤ
ȤȤϡ衩
¤ϡ䤬Υ٥Ǥϡ褯ʬäƤʤäꤹ (^^;

(ɲ)
褦ʤΤǡͤƤߤޤƻ˾ʬФǤ褦Ǥ

10000 ߰ʲǤꤨʤۤθĿ 10001 - <10001/(1+s/100)> Ȥʤ
ǡ< > ڤ夲ΥεȤޤĤޤꡢ<3.2> = 4, <5.7> = 6 ʤɤǤ
ʤ[ ] ̾ڤΤƤΥεǤĤޤꡢ[3.2] = 3, [5.7] = 5 ʤɤǤ
ơ10001/(1+s/100) = a+ba > 0, 0 <= b < 1 Ȥޤ
ޤȤơs ϾǤʤΤǡ0 <= s Ȳꤷޤ
(1) b not= 0 ξ
ޤ<10001/(1+s/100)> = <a+b> = a+1 Ǥǡ
10001 - <10001/(1+s/100)> = 10001 - (a+1) = 10000 - a
ˤʤޤ
ǡ(a+b) * (1+s/100) = 100010 < b < 1 ( b 0 ǤʤͤƤ롣) ʤΤǡ
a * (1+s/100) < 10001 = a * (1+s/100) + b * (1+s/100) < a * (1+s/100) + (1+s/100) Ȥʤꡢ
10000 - s/100 < a * (1+s/100) < 10001
Ĥޤꡢ10000 - s/100 < a * (1+s/100) < 10000 10000 <= a * (1+s/100) < 10001 Τ줫Ǥ
(1-1) 10000 - s/100 < a * (1+s/100) < 10000 ξ
10001 - s/100 < a * (1+s/100) + 1 < 10001, a * (1+s/100) + 1 < (a+1) * (1+s/100) ʤΤǡ
츫10001 - s/100 < (a+1) * (1+s/100) < 10001 10001 <= (a+1) * (1+s/100) ǽ˻פޤ
10001/(1+s/100) = a+b < a+1 äΤǡ10001 < (a+1) * (1+s/100) Ȥʤꡢ
10001 - s/100 < (a+1) * (1+s/100) < 10001 Ϥꤨޤ󡣤Ĥޤꡢ[(a+1) * (1+s/100)] >= 10001 Ǥ
ˡ10001/(1+s/100) = a+b > a θơ10000 - s/100 < a * (1+s/100) < 10001[a * (1+s/100)] <= 10000 ʤΤǡ
ǽʶۤ a ġäơԲǽʤΤ 10000 - a ˤʤꡢOKǤ
ʤߤˡb not= 0 ΤȤ s not= 0 ʤΤǡ10000 ȴǽޤ
(1-2) 10000 <= a * (1+s/100) < 10001 ξ
餫ˡ[a * (1+s/100)] = 10000 ʤΤǡǽʶۤ a ĤǡԲǽʤΤ 10000 - a ˤʤꡢOKǤ
ɡ⤬ 10000 - a ȤʤꡢΩޤ
(2) b = 0 ξ
ΤȤϡ<10001/(1+s/100)> = <a> = a Ǥǡ
10001 - <10001/(1+s/100)> = 10001 - a
ˤʤޤ
ǡa * (1+s/100) = 10001 ʤΤǡ餫ˡ(a-1) * (1+s/100) = 10000 - s/100 < 10000 Ȥʤꡢ
ǽʶۤ a-1 ĤǡԲǽʤΤ 10000 - (a-1) = 10001 - a ˤʤꡢOKǤξ⡢10000 ȴޤ͡
ʾǡϽǤ
ͥνȡ 126ʲС 12:37:42 MAIL:uchi@sco.bekkoame.ne.jp 26294
⡼ޥ
#26294
uchinyanء
̼ȯǤ͡餷
Ǥ⡢ַФäפФʤ⡣ʤ錄Ϥ͡

Ȥ륵Ȥ˥Ȥä꤬ޤ

x[x[x[x]]]=88 ¿ x 衣

錄ͭǤϵ줿ɡ̵ϰϤˤ¸ߤʤΤɤ狼ʤǤ
126ʲС 16:27:09 MAIL:kennji72001@yahoo.co.jp 26295
uchinyan
#26295
x[x[x[x]]]=88 ¿ x 衣
錄ͭǤϵ줿ɡ̵ϰϤˤ¸ߤʤΤɤ狼ʤǤ
괺礳礳äơx = 22/7 ϡʬޤ͡
ϡʳˤʤ
⤢뤱ɡ22/7 ϡ ζͤǤ͡ǤʤȤ ФƤΡ
(ɲ)
äȹͤƤߤޤ
x = 22/7 ʳˤϲϤʤ褦Ǥ
x = 0 ΤȤ
餫˲ǤϤޤ
x > 0 ΤȤ
x = 22/7 = 3 + 1/7 ξϡ
[x] = 3, x[x] = 9 + 3/7, [x[x]] = 9, x[x[x]] = 28 + 2/7, [x[x[x]]] = 28,
x[x[x[x]]] = 28 * (3 + 1/7) = 84 + 4 = 88
ȤʤꡢǤ
x > 22/7 = 3 + 1/7 ξϡ
[x] >= 3, x[x] > 9 + 3/7, [x[x]] >= 9, x[x[x]] > 28 + 2/7, [x[x[x]]] >= 28,
x[x[x[x]]] > 28 * (3 + 1/7) = 84 + 4 = 88
ȤʤꡢϤޤ
x < 22/7 = 3 + 1/7 ξϡ
[x] <= 3, x[x] < 9 + 3/7, [x[x]] <= 9, x[x[x]] < 28 + 2/7, [x[x[x]]] <= 28,
x[x[x[x]]] < 28 * (3 + 1/7) = 84 + 4 = 88
ȤʤꡢϤޤ
x < 0 ΤȤ
x = -3 ξϡ
[x] = -3, x[x] = 9, [x[x]] = 9, x[x[x]] = -27, [x[x[x]]] = -27
x[x[x[x]]] = 81
ȤʤꡢǤϤޤ
x < -3 ξϡ
[x] <= -4, x[x] > 12, [x[x]] >= 12, x[x[x]] < -36, [x[x[x]]] <= -37
x[x[x[x]]] > 111
ȤʤꡢϤޤ
0 > x > -3 ξϡ
0 > [x] >= -3, 0 < x[x] < 9, 0 < [x[x]] <= 8, 0 > x[x[x]] > -24, 0 > [x[x[x]]] >= -24
0 < x[x[x[x]]] < 72
ȤʤꡢϤޤ
ɡx = 22/7 Ǥ
ͥνȡ 126ʲС 21:25:57 MAIL:uchi@sco.bekkoame.ne.jp 26296
⡼ޥ
#26296
uchinyan󡢤ʤܤƤޤ
x ˡ顢x ϡͭǤ͡դޤ22/7Ϥ
126ʲС 20:25:54 MAIL:kennji72001@yahoo.co.jp 26298
uchinyan
#26298
#26296˾ɲäޤ
88 ݥȤʤΤǤ礦 ζͤʤΤ򤤤Ǥ ^^/
ͥνȡ 126ʲС 21:29:06 MAIL:uchi@sco.bekkoame.ne.jp 26299
⡼ޥ
#26296˴Ϣơ
[x[x[x[x]]]]=88 ΤȤϡ¿xϵΤǤ礦
λ̵ޤޤޤΤ͡
Ϥꡢx ϰϤϹʤΤʡ
126ʲС 22:44:06 MAIL:kennji72001@yahoo.co.jp 26300
ȥȥ
ΤɽѤǤ̤᡼35ǯäꡣ
ʼ˸лԡ 126ʲС 23:44:02 MAIL:h-sakai@zb3.so-net.ne.jp 26301
⡼ޥ
#26300 ʥ쥹
[x[x[x[x]]]]=88 ΤȤμ¿xϡ
x[x[x[x]]]]=88
x=q/p
p,qȤ롣
[ ]顢ޤ3<x<4 ʤΤǡ
q=88 ȹͤȡ22<p<30 Ȥʤ뤫顢
׻ơ88/28=22/7 ΤȤ
Ʊͤˡ
x[x[x[x]]]]=89
x=q/p
3<x<4
q=89
22<p<30
89/28 λΩġ
ʾꡢ22/7x<89/28 ǤΤʡ
126ʲС 23:52:31 MAIL:kennji72001@yahoo.co.jp 26302
uchinyan
#26302
īΥƤӤʤΤǤۤȤľǤ#26296Ʊ褦ˤơ
22/7 <= x < 89/28 ʳ˲򤬤ʤȡδ֤ˤС
[x] = 3, [x[x]] = 9, [x[x[x]]] = 28, [x[x[x[x]]]] = 88
ưפ˼Τǡ⡼ޥ󤵤ΤͤǤ褵Ǥ͡
٤פʤ^^;
ͥνȡ 127ʿ 7:43:53 MAIL:uchi@sco.bekkoame.ne.jp 26303
⡼ޥ
#26303
uchinyan󡢤˻桢ɻƤ󥯥
127ʿ 10:37:47 MAIL:kennji72001@yahoo.co.jp 26304