ߥƥ
100 LET m=0
110 for i=1 to 99
120 LET j=int(1.39*i)*100
130 LET m=m+j
140 next i
150 print m
160 end

683,100ߡߥ¿롣(T_T)
714ڡ 0:05:29 HomePage:ߤ25437
taku
ꥢ륿ǻääǤ
EXCELδؿRounddown()Ǥ
714ڡ 0:09:10 MAIL:takuo@kcv.ne.jp 25438
ޥ
ǽ顢֣̤ڤΤơפˤʤäƤޤޤǤm(__)m

Ϲ⣳̤μ򣱣᤮ޤǼƤơʤ⣱򤱤ʤä...Ȥǥˤ񤭤ޤˡ줫ȤȤˤʤäƤޤäơ⥮ꥮˤʤäƤޤޤޤҤǤ(^^;;

ʤߤꤷˡϡץǤExcelǤʤơߣࣲߣ᣶ȤΤǤϥ
PowerBook G4 714ڡ 0:09:32 MAIL:masaru-y@sansu.org HomePage:25439
ȥȥ
פ֤Υꥢ륿ǤΤŤ
꤬ʤˤּޤ
ͤExcelޤ
ʼ˸лԡ 714ڡ 0:09:52 MAIL:h-sakai@zb3.so-net.ne.jp 25440

EXCELˤA1A99ޤ
=INT(ROW()*1.39)*100
ơȤϥSUMޤޤ
714ڡ 0:11:48 25441
ߤ
ϢͤƤ
ܣܣܣäƤä
Ĥä򣹣ܤޤ­ФΤǤ͡
714ڡ 0:12:43 25442
ޥ
ȡꤷƤΤϡʻθĿ롢äƤˡǤ
PowerBook G4 714ڡ 0:14:50 MAIL:masaru-y@sansu.org HomePage:25443
ҡΤ
ͤJavaScript

<script language="JavaScript">
for(ans=0,i=1;i<100;i++){ans+=Math.floor((139*i)/100)*100;}
document.write(ans);
</script>
9ߤ濴 714ڡ 0:14:58 HomePage:25444
ʢ
ǶǾοꤨҤҤȴޤ

ȤäĤϤᡢǵ§Ĥꤷ褦Ȥޤ礤åƹͤ13800*99/2äƻ˵ŤޤϤ
714ڡ 0:17:40 25445
Ȥ
ץγؽˤʤǤ
BASICǡ#25437 ȤۤȤƱǤ
HELPȤ߹ߴؿȤߤꤷƤ٤ʤޤǤϡ
˭ԡ 714ڡ 0:25:13 MAIL:fttnm528@ybb.ne.jp 25446
DrK
ξϡǡ100ܿ˶Ťͤ뤫ǹͤޤ
3ΤȤ417=400+17
5ΤȤ695=700-5
Ȥ߹碌Ƥȡ18ޤǤ
371014172124ȴ뤳Ȥ狼롣
1813718=2502ȤʤΤǡ1ˤФȤȴۤɤ7Ĥ25ܿ­ΤȤʤ롣
365004547506Ȥʤ롣
ǡ5вᤷȤ7506+695=8201Ȥʤꡢ81ȴ뤳Ȥˤʤ롣
ϱƶʤΤǡޤ18ΥѤ롣
ȡ95ܤ13205Ȥʤ롣
ΤȤϡ98ܤ13622Ȥʤäơ135ȴ롣
ʾ夫顢ȴιפ
54ܤޤǤ
(3+7+10+14+17+21+24)3+257+507=813
55ܤ59ܤޤǤ
78+81=159
95ܤޤǤ
(3+7+10+14+17+21+24)2+827+1077=192+574+749=1515
Ĥ135
ȤȤ
813+159+1515+135=2622
1137ޤǤιפ(137138)/2=9453
ʾ夫9453-2622=6831
100ܤФޤۤޤ롣
ϳڱफ?㤦ʡ 714ڡ 0:27:15 MAIL:satoka@star.odn.ne.jp 25447

оܤơ10013700ˡ99ࣲ
ī鶵ĤΤǿޤ
714ڡ 0:28:18 25448
CRYING DOLPHIN
ʿޤƬƹͤޤ
http://www7a.biglobe.ne.jp/~cdcdcd/q459tokitoki.GIF
ˡϣߣΤܿˤʤʤȤ
ʤΤǡʾ⤹þޤ
ǯԥ奦ȡ 714ڡ 0:33:31 HomePage:θ³äƤɤΤ餤25449
DrK
#25448#25439
Ǥ
99ޤǤǤ顢оѤΤָǤ͡
βˡ#25447Ϥ䤳롣
Ǥ⡢ȾüäбǤ뤫ʡ
ϳڱफ?㤦ʡ 714ڡ 0:33:34 MAIL:satoka@star.odn.ne.jp 25450
ʢ
pwdƤʤä鲼ν񤭹ߤǤʤ
³˽񤳤ȻפäƤȡ
[n*1.39]+[(100-n)*1.39][n*1.39]ȤʤȤȡ(139-1-)=138ˤʤäȡ
ʻβˡäƤɤʤ
714ڡ 0:35:07 25451
mhayashi
#25449
äڤΤƳۤʿѤߤˤʤ櫓
714ڡ 0:45:41 HomePage:M.Hayashi's Web Site25452

13800*49.5ǣϣˤɤ͡
ƽ 714ڡ 3:19:01 HomePage:θ줳ߤ󡪡25453
ϥ饮㡼ƥ
Ϥ褦ޤץǣʬǤ
̶彣 714ڡ 8:10:42 HomePage:ĩ25454
uchinyan
ϤϤ褦ޤ
פϡ§Ĵ٤Ƥη׻ʡȻפäΤǤޤˡפĤޤϡץǡ (^^;
ǼĤɤˡ⤦ͤޤ
ͥνȡ 714ڡ 8:54:31 MAIL:uchi@sco.bekkoame.ne.jp 25455
kasama
Ϥ褦ޤ(*^_^*)

public class Question459 {
public static void main(String[] args) {
int sum = 0;
for (int i = 1; i <= 99; ++i) sum += ((139*i)/100)*100;
System.out.println(sum);
}
}
714ڡ 9:12:32 25456
ߤä
ExcelǤޤ
ΤǼФ
714ڡ 10:30:58 25457
⥷̿ۥ轵˸깹
ޥ󥻡äƤȤǡ
714ڡ 11:01:34 25458
uchinyan
[äɲ]
ϤƤӡˤϡƹͤ顢ʤȤ餤ñǤ ^^v
褯褦ˡήη׻򤷤ޤ
139 * n = 100 * a + b ȤȤȡ
139 * (100 - n) = 139 * 100 - (100 * a + b) = (138 - a) * 100 + (100 - b) Ȥʤꡢ
(139 * n 100 dzä;) = b<----->(139 * (100 - n) 100 dzä;) = 100 - b
Ȥطꡢ
(139 * n 100 dzä;) + (139 * (100 - n) 100 dzä;) = 100
ˤʤޤȤƤ϶Ū˽񤤤ƳǧǤ礦
(139 * 1 100 dzä;) + (139 * 99 100 dzä;) = 39 + 61 = 100
(139 * 2 100 dzä;) + (139 * 98 100 dzä;) = 78 + 22 = 100

(139 * 49 100 dzä;) + (139 * 51 100 dzä;) = 11 + 89 = 100
(139 * 50 100 dzä;) + (139 * 50 100 dzä;) = 50 + 50 = 100
ǸϡڥˤʤΤʬȤʤΤˤդޤ
ơ¤ϡ139 * 1, 139 * 2, ..., 139 * 99 ¤顢ڤΤƤ 100 dzä;¤ФΤǡ
139 * n 139 * (100 - n) Ȥȹ礻ǡ139 * n + 139 * (100 - n) = 139 * 100 ȡn = 50 ξ­θơ
() = 139 * 100 * 50 - 100 * 50 - (139 * 50 - 50) = 138 * 100 * 50 - 138 * 50 = 138 * 99 * 50 = 683100
[׻ˡäɲ]
()
= {139 * 1 + 139 * 2 + ... + 139 * 99}
- {(139 * 1 100 dzä;) + (139 * 2 100 dzä;) + ... + (139 * 98 100 dzä;) + (139 * 99 100 dzä;)}
Ǥľˡ
2 * ()
= {(139 * 1 + 139 * 99) + (139 * 2 + 139 * 98) + ... + (139 * 98 + 139 * 2) + (139 * 99 + 139 * 1)}
- {((139 * 1 100 dzä;) + (139 * 99 100 dzä;)) + ((139 * 2 100 dzä;) + (139 * 98 100 dzä;))
+ ...
+ ((139 * 98 100 dzä;) + (139 * 2 100 dzä;)) + ((139 * 99 100 dzä;) + (139 * 1 100 dzä;))}
= 139 * 100 * 99 - 100 * 99
= 138 * 100 * 99

() = 138 * 100 * 99 / 2 = 683100
Ȥʬ䤹⤷ޤ͡
[ɲý]
̲Ȥơ(֤󡢥ޥ뤵βˡƱ)
ǤϡѷҤ¿ȻפΤǡ 1ļ 100 ˤʻͤơ
ξǷ 139/100 ľ (1,1), (99,1), (99,138), (1,138) ĹڤӼΡľβˤʻޤ
ľˤϡĹϰϤγʻΤ뤳ȤϤʤޤʻľ˴ؤ()оΤʬۤƤΤǡ
(ʻο) = 138 * 99 / 2 = 6831
¤ȤƤϡ줾γʻ 100 νŤߤäƤΤǡ6831 * 100 = 683100 Ȥʤޤ
ɤ餬ҶˤȤäʬ䤹Τϡ̯ʵޤ
ͥνȡ 715ʶ 8:43:15 MAIL:uchi@sco.bekkoame.ne.jp 25459
uchinyan
Ǽɤߤޤ
褽Ʊ褦Ǥ ^^
ߤ󤵤#25442򤽤ʤɡäȤ褯ʬʤ
ͥνȡ 714ڡ 15:01:56 MAIL:uchi@sco.bekkoame.ne.jp 25460
ޤ륱
ڼΤƳۤоǤȤޤ
ץʤRuby
s=0;(1..99).each do|i|;s+=i*139/100*100;end;p s

714ڡ 14:14:16 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱25461
uchinyan
#25459
ʥ쥹Ǥ
139 * n = 100 * a + b ȤȤȡ
139 * (100 - n) = 139 * 100 - (100 * a + b) = (138 - a) * 100 + (100 - b) Ȥʤꡢ
(139 * n 100 dzä) + (139 * (100 - n) 100 dzä) = a + (138 - a) = 138

2 * () = (138 * 100) * 99
Ȥʤꡢ
() = (138 * 100) * 99 / 2 = 683100
äȴñǤ (^^;
ȡʢˤƱȻפޤ
ͥνȡ 714ڡ 14:52:40 MAIL:uchi@sco.bekkoame.ne.jp 25462
ۤ
ʻˤϵĤɡΤȤ
ԥå
=[γʻο][վγʻο]ࣲݣ
顡y<=1.39xx<=100y>=0ʬǹͤ
1/2100139=[γʻο]+2402-1
[γʻο]6831ꡡ683100ߤȽФޤ

Ǥ
Ĺγʻ򣲤ǤФǤ͡Ȥ鵤Ĥޤ
̤αȡ 714ڡ 16:43:42 MAIL:micci@sansu.org HomePage:ߤäα25463
y.kobayashi
§ߤĤƣܤ飹ܤޤǤ¤飱ܤ飹ܤޤǤΣߤΰ̤¤ȣߤΰ̤¤ƽФޤݡʣܣˡ᣶
714ڡ 19:43:44 25464
ޥ
#25439ǽ񤤤ֲ򤱤ʤäפѤ򤷤ΤǾҲ𤤤ޤorz

ɸ֤ˤͤΰ֤ˤ룲ľL1L2ꡢL1PL2Q롣

(1)L1AL2BľABL1ľABL2Ȥʤ褦ˤȤ롣ľPQL2ΤʤѤľPQL2ΤʤѤȤʤγѤ90ʲˡAPBQĹδط衣

(2)L1L2٥ȥΤʤѤȡ0ȡСˤȤ롣ľPQL1ΤʤѤȡľPQL2ΤʤѤȤȤʤP,QȤȤȤ뤿ΦȤξ衣
PowerBook G4 715ʶ 14:13:59 MAIL:masaru-y@sansu.org HomePage:25465
ޥ
#25465
ʤߤ(1)ϽޤAP=BQǤ(2)...orz
PowerBook G4 715ʶ 15:05:22 MAIL:masaru-y@sansu.org HomePage:25466
uchinyan
#25465
äդˤʤΤǤ/3 < < /2 Ǥ礦
ͥνȡ 715ʶ 21:06:22 MAIL:uchi@sco.bekkoame.ne.jp 25467
⡼ޥ
ĶŪ
140100
280200
420400
560500
700600
840800
980900
11201100
12601200
14001300
ס7100

15401400+100
16801400+200
18201400+400
19601400+500
21001400+600
22401400+800
23801400+900
25201400+1100
26601400+1200
28001400+1300
äƤʴˤʤ뤫顢夬1199Ȥ100ߤĸΤǡ

Ĥޤꡢ14001+2+3+4+5+6+7+8+9ˣ10-14009+710010-1300-1002+2+4+4+6+6+8+8ˡ683100

Τ絷ˤʤޤ
ʻʤפĤʤʤ
715ʶ 22:06:00 MAIL:kennji72001@yahoo.co.jp 25468
ޥ
>>25467
ɤ餽褦Ǥ...ࡢˡΤꤿ...m(__)m
PowerBook G4 715ʶ 23:59:32 MAIL:masaru-y@sansu.org HomePage:25469
ޥ
#25467
餯cosȤ˴ؤ룲ФƤơ򤬣ĻĤ褦ˤ롢ȤǤ......orz
PowerBook G4 716ڡ 0:54:54 MAIL:masaru-y@sansu.org HomePage:25470
uchinyan
#25465, #25469, #25470
ޥ뤵󡢺Ѥߤޤ󡣤ֻ٤ʤޤ
äݤˡ⤢뤫ʤȤ⤷ʤǤϤʤǤ괺ɸȤޤ
äȲ򤱤򤤤Τǡ礭ʸȤ뤫⤷ޤ󡥡
L1 x ˤȤꡢA ˤޤB ϡyz ʿ̾ΤɤǤ⤤Τǡ׻δñΤ z ˤȤꡢAB = c > 0 Ȥޤ
L1, L2 ñ٥ȥ e, f Ȥe, f ȤΤʤѤȤȤޤͤΰ֤ʤΤǡ = 0 Ϥʤ0 < <= /2 Ǥ
ǡABL1ABL2 θơe = (1,0,0) Ȥȡf = (cos, sin, 0) Ȥޤ
ǡt, s ¿ȤơP = (t,0,0), Q = (s * cos, s * sin, 0) Ȥޤ
ʤPQ = (s * cos - t, s * sin, 0) Ǥ
PQ L1ڤ PQ L2 ΤʤѤդȤޤդ餹ȡ0 < <= /2 Ǥ
դǤPQ ٥ȥȹͤˤϸΤǡ٥ȥPQȤγ٤ϡ0 ȹͤ٤Ȼפޤ
Ĥޤꡢ٥ȥѤͤˤϡξ٤ȤȤǤʲǤϡꤷޤ
(դǤäȵˤʤ롢ȤäǤǤ⤽ͤʤȡξ4ȼʤʤޤ)
(1)PQ L1ڤ PQ L2 ΤʤѤȤȡۤɤդȤ顢٥ȥѤ֡פɽȤˤȡ
ePQ = fPQ ePQ = - fPQ ˤʤޤϡ
s * cos - t = s - t * cosȡϡs * cos - t = - s + t * cosȡ
Ǥ0 < <= /2 0 <= cos < 1 դȡ
s = - t or s = t
Ȥʤޤϡ|AP| = |BQ| ̣ޤ
(2)(1)ΤȤǡˡfPQ = |PQ| * cos ɲäޤϡ
s = t ot s = - t
and
ePQ = |PQ| * cos or ePQ = - |PQ| * cos
ϢΩơs t ȤˤĤƲ򤯤Ȥ̣ޤ
P, Q 4ȼȤȤϡs, t 4ȼ뤳Ȥбޤ
ǡs õ t ǡ¿Ĥ뤳ȤɬפǤ
ޤePQ = |PQ| * cos ׻Ƥޤ
s * cos - t = sqrt((s * cos - t)^2 + (s * sin)^2 + c^2) * cos
ξդ褷ѷȡ 0 ǤϤʤΤǡ
t * (t - 2 * s * cos) = c^2 * (cos/sin)^2
ǡ
(a) s = t ξ
(1 - 2 * cos) * t^2 = c^2 * (cos/sin)^2
줬t ˴ؤƼ¿ĤĤˤϡ
1 - 2 * cos > 0 and cos not= 0
줫顢
/3 < < /2
ˤʤޤޤΤȤ
t > 0 β ePQ = - |PQ| * cos βб
t < 0 β ePQ = + |PQ| * cos βб
ޤ
(b) s = - t ξ
(1 + 2 * cos) * t^2 = c^2 * (cos/sin)^2
줬t ˴ؤƼ¿ĤĤˤϡ
1 + 2 * cos > 0 and cos not= 0
줫顢
0 < < /2
ˤʤޤޤΤȤ
t > 0 β ePQ = - |PQ| * cos βб
t < 0 β ePQ = + |PQ| * cos βб
ޤ
ɡʾ夫顢
/3 < < /2
ΤȤˡs, t 4ޤꡢP ڤ Q 4ȼ뤳ȤǤȻפޤ
ͥνȡ 716ڡ 11:46:16 MAIL:uchi@sco.bekkoame.ne.jp 25471
uchinyan
#25471ؤɲá
任äݤˡ⤢뤫ʤȤ⤷ʤǤϤʤǤ괺ɸȤޤ
ä򤤲ˡפĤޤ
ePQ = fPQ = |PQ| * cos ξ硢ef = cos ʤΤǡg = PQ/|PQ| Ȥñ̥٥ȥͤȡ
ef = fg = ge = cos ˤʤޤºݤˤϡef = fg = geʣǤ ǤδỤ̄ͤޤ
e, f, g λ O ˽ᡢ줾Υ٥ȥν E, F, G Ȥޤe, f, g ñ̥٥ȥʤΤǡEO = FO = GO = 1 Ǥ
ͤΰ֤ˤΤǡ餫ˡ 0 ˤϤʤޤ󡣤ǡ0 < <= 90 Ǥ
ޤef = fg = ge ξͤޤϡ O-EFG EOF = FOG = GOE = ̣ޤ
ʣ椬ۤʤ򰷤Τǡξ G G1 Ȥ񤯤Ȥˤޤ
ơ O-EFG ˴ؤơΤȤޤ
G EOF ˿򲼤­ H Ȥ H OE ˿򲼤­ K Ȥޤ
GHOEHKOE ꡢGHKOE ˤʤꡢGKOE Ǥ
GOH ˤơGHO = 90 ʤΤǡGO > HO Ǥ
GOKHOK ˤơGKO = HKO = 90 ʤΤǡHOK H GK ϤαĹ褦˻夲ưưȡ
GO > HO ꡢH ϡG K Ȥδ֤뤳Ȥʬޤ
ǡGOE = GOK > HOK = HOE Ǥ
ĤޤꡢΤĺ O Ϥ٤ϡĺ O ޤ̤λѷ O ʬγ٤Ⱦʬˤʤޤ
Ƽˡʣ椬ۤʤΤˤĤƹͤޤϡO, E, F ꤷƤơѷ򤷤ޤ
ef = fg = - geʤg -e Ȥ ˤʤΡ
O-EFG ˡ E O Фо E' Ѥ O-E'FG' ƱȤͤФǤ
E'OF = 180 - EOF = 180 - ȡEOF = FOG' = G'OE' = դޤ
G' G2 Ȥޤ
ef = - fg = geʤg -f Ȥ ˤʤΡ
O-EFG ˡ F O Фо F' Ѥ O-EF'G' ƱȤͤФǤ
EOF' = 180 - EOF = 180 - ȡEOF = F'OG' = G'OE = դޤ
G' G3 Ȥޤ
ef = - fg = - geʤg -eg -f Ȥ ˤʤΡ
O-EFG ˡ E, F O Фо E', F' Ѥ O-E'F'G' ƱȤͤФǤ
E'OF' = EOF = = F'OG' = G'OE' դޤ
G' G4 Ȥޤ
ɡ(2)ϡͤĤ G Ǥ롢G1, G2, G3, G4 ۤʤ褦˼ ϰϤˤʤޤ
Τڤ G1, G2, G3, G4 ηλ顢G1 G4 Ͼ˼뤳ȤǽʤΤʬޤ
= 90 ǤϡG1 G4 ȤϰפޤǡG ۤʤ뤿ˤϡ0 < < 90 Ǥ
G2 G3 ˤ¤Ĥޤ
㤨СG2 ξ硢E'OF = 180 - EOF ʤΤǡEOF = FOG' > 1/2 * E'OF = 90 - 1/2 * EOF ꡢ
(90 >) EOF > 60 ˤʤޤG3 ξƱͤǤ
ǡɡG1, G2, G3, G4 ۤʤ4ȤƼ뤿ˤϡ60 < < 90 ȤȤˤʤޤ
ͥνȡ 716ڡ 15:50:06 MAIL:uchi@sco.bekkoame.ne.jp 25472
ޥ
#25471
Ǥ...(1)βˡϤۤƱäΤǤΤ(2)cosȤ󼡼뤳Ȥ˸ǼƤޤʬ䤹ʴŪʻȤä˲ˡǤ͡ϲ...
PowerBook G4 716ڡ 21:39:32 MAIL:masaru-y@sansu.org HomePage:25473

ϴġܿǤʤ顢ڤΤƤϣߡߤΣࡣ
Τ¤顢¤
139495049501384950683100
716ڡ 23:04:26 25474

ʤǣफ֤ʤ­
ȤοABA10ΰ̡B1ΰ̡ʲƱˤǹͤ롣

ABˣޤǤο򤫤ơEFCDGHCDʤɤΤ褦ˡο֤Ȥ߹碌Ȳꤹ롣EFCDGHCDȤ
EFCDGHCDȤABܿʤΤǡEFCDGHCDABܿ
EFCD-GHCDEF-GHˡߣ
EFCD-GHCDABߣˤʤΤǡABΰˣʤ¤ꡢβΩʤ

Σϡ25˻ʤΤǡޤǤˡ夬֤뤳ȤϤʤ
716ڡ 23:23:29 25475
uchinyan
#25473
t ƳǡФɤʤСȽ̼Ǥ礦顢餷ФƤޤ
ξϡñʾʤΤǡȴޤ ^^;
äơ
#25474#25475
ʤۤɡΤˤ򤤹ͤǤ͡
ͥνȡ 717 12:27:18 MAIL:uchi@sco.bekkoame.ne.jp 25476
⡼ޥ
#25474
ܤڡʤ錄ϵ
ꤵΤ錄ˤϰľڤΤƤäƤȤǤͤˤʬ䤹ʤ
717 17:00:58 MAIL:kennji72001@yahoo.co.jp 25477
ڼ
#25465
ľŪǤ
СѤ¤ν̵꤫±ޤǰưȡ
УѤȣ̣̣ΤʤѤϡ/ʦСݦȡ/ޤѲޤ
ʦСݦȡ/ͤǤΩޤ
ȡʡ/ˤϰϤäƤФΤǡ
ʦСݦȡ/ȡ򤤤ơȡ/
̡/ȡ/Ȥʤޤ
Ƕᡢ٤ݤˤʤäƤޤ
͡ 718ʷ 2:31:09 MAIL:iida@ae.keio.ac.jp 25478

ߣߣࣲߣࣲ᣶
ڤΤƤʤȤ¡ڤΤʬ
718ʷ 18:13:46 25479
¼
(13700+100)*99/2=683100
ǹäΤϤޤޤʤǤ礦͡
718ʷ 23:25:29 25480
Mr.W
JavaȤޤ
ϥɤǤ

/*
* Created on 2005/07/19
*
* To change the template for this generated file go to
* Window&gt;Preferences&gt;Java&gt;Code Generation&gt;Code and Comments
*/
package mainPrograms;

public class Problem139 {
static final int MOTO = 139;
static int answer = 0;

public static void main(String[] args) {
for(int i = 1;i <= 99;i++){
System.out.println(i);
int y = MOTO * i;
int z;
String yS = Integer.toString(y);
String s = yS.substring(0,yS.length()-2);

System.out.println("139" + yS);
int kirisute = Integer.parseInt(s) * 100;
System.out.println("100ΰ̰ʲڤΤƤ" + kirisute);
answer += kirisute;
System.out.println("ޤǤι" + answer);
}
System.out.println("ι:" + answer);
}
}
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