٥륯åĥ
0099Ϻ+1+3+5γˤʤꡢ10ĤΤ8Ĥνΰ̤1οϽΰ̤0ȹͤޤ
10101919ϤȤο20ܿäΤˤʤ뤿ᡢƱͤ108ġ
ƱʤΤǡ009999Ǥ10080ġ33ޤǤ4Ĥ76Ĥˤʤޤ
428ڡ 0:11:05 44401
baLLjugglermoka
ΰ̤4,6λΤ߽ΰ̤Ǥ͡
ȤǡեߤϲΤĤʤǤ
428ڡ 0:12:05 44402
٥륯åĥ
ʤ5ʬˤǤƤͤʤǤ¤Ϥäñä
428ڡ 0:12:57 44403
⡼ޥ
(10k+m)^2+m^2
som^2ΤΤ
k=09
m=4,6
so2*10=20
99-3=96
96-20=76
^^
¨ ^^;v 428ڡ 0:13:59 44404
Ȥ
Basic

FOR a=4 TO 99
IF MOD((a^2-10^2*IP(a^2/10^2)-10*FP(a^2/10))/10,2)=0 THEN LET s=s+1
NEXT a
PRINT s
END

f9ơ76()

XMaxima

s:0$for a:4 thru 99 do (if mod((10*floor(a^2/10)-10^2*floor(a^2/10^2))/10,2)=0 then s:s+1)$s;
76()
˭ԡ 428ڡ 1:01:10 44405
ǯ
äȿŪǤ
褷Σ̤δϡΣ̤οǤޤΤǡĴ٤
Σ̤οȣȴޤ

428ڡ 2:03:29 44406
kyorofumi
(10a+b)^2 = 100a^2+20ab+b^2
ten's digit: 2ab+mod(b^2,10)
this would be even when b = 4 or 6.
Thus, 76
428ڡ 0:20:22 44407

#44407kyorofumiƱ
ʣܣˡᣱᡰܣܣ⡰꽽ΰ̤룲ʬ϶ʤΤǣ⡰夬äƤ뽽ΰ̤οʤ
ˤʤΤϣ⤬Σ̤ʤΤǣǣġޤƱʤΤǣߣ᣷ġΣĤäƣ
ȣᡢ򢢡֤ơѤФΤʤʬǤؿؤǤ
Ϻꡡ 428ڡ 0:40:16 44408
ˤ
(10y+x)^2=100y^2+20xy+x^2
x=4,6ΰ̤ʤΤǣΰ̤ޤ
Ͽ̤ɤޤ|ա)
428ڡ 2:33:58 MAIL:nikotan@fat.coara.or.jp 44409

§ʡ
428ڡ 3:36:03 HomePage:44410
ϥ饮㡼ƥ

Ϥ褦ޤ

OctaveǥץǤǥߥʤ
ץޤScilabȤȤɤ
Ʊޤ
428ڡ 4:06:28 HomePage:湩ؤ˥44411
ǯ
(10a+b)^2100a^220abb^2ؿؤΥ᡼ǤǵˤϤɤ뤫ʡ
#44401ۤɤˤ褦
ָο10ȡο10̤ϡο1̤ο2ΤǾ˶פȤǤ⤹ΤǤ礦١ϤʤȤʤؤäݤΤǤ
428ڡ 8:28:52 44412
???
Sub Macro1()
Cells(1, 1).Value = 0
Dim n As Integer
For n = 4 To 99
If ((n * n) \ 10) Mod 2 = 0 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = n
Cells(Cells(1, 1).Value, 3).Value = n * n
End If
Next n
End Sub
428ڡ 8:29:23 44413

Ϥ褦ޤ
Dz򤯤ȤʤС
㤨3636ʤ顢IJ36ơ
Ĥ3030Ƕڤȡ3030ΤȤ100ܿ
6302ĤΤǽΰ̤϶
ʤΤ66ʬνΰ̤ͤζߤФ褤Τǡ
ȤΤϤɤǤ
428ڡ 9:00:13 44414
cocogoo
(10a+2k),(10a+2k-1)ʿǽޤȤꡢʸϸȾ̣ȽΤᡢ9332ǥե꡼콵ֻ֥ޤʸդͤʬ褦ˤꤤޤ
428ڡ 10:29:37 MAIL:haradash0302@gmail.co 44415
uchinyan
Ϥˤϡơϡ
ñǤ͡ȤƤפǤ礦̤ξˤ褤꤫ʤ
¿ʬؿؤǤη׻ǤϴñǤޤǤϤɤΤ
褯ʬʤΤǡ㤫䤹ˤƤߤޤʴ

ޤ 0 9 ξͤޤ
0 * 0 = 01 * 1 = 12 * 2 = 43 * 3 = 94 * 4 = 165 * 5 = 256 * 6 = 367 * 7 = 498 * 8 = 649 * 9 = 81
0 3 η׻̤ˤϽΰ̤ʤΤǤ 0 ǶȻפȡ 0 3, 5, 7 9 8 ġ 4, 6 2 ġǤ
ǡοξϡ㤨 34, 65, 76 Ǥϡɮη׻λפФơ
34 * 34 = (30 + 4) * (30 + 4) = (4 * 4 + 30 * 4) + (4 * 30 + 30 * 30) = 9 * 100 + (12 + 12 + 1) * 10 + 6 = (9 + 2) * 100 + (4 + 1) * 10 + 6
65 * 65 = (60 + 5) * (60 + 5) = (5 * 5 + 60 * 5) + (5 * 60 + 60 * 60) = 36 * 100 + (30 + 30 + 2) * 10 + 5 = (36 + 6) * 100 + (0 + 2) * 10 + 5
76 * 76 = (70 + 6) * (70 + 6) = (6 * 6 + 70 * 6) + (6 * 70 + 70 * 70) = 49 * 100 + (42 + 42 + 3) * 10 + 6 = (49 + 8) * 100 + (4 + 3) * 10 + 6
򸫤ȡ̤ˡο * 10 + ξϡ
׻̤νΰ̤ο = ( * + * + ( * νΰ̤ο)) ΰΰ̤ο
ʬޤ
ǡϰΰ̤οȰפ * + * Ͼ˶ʤΤǡ
ɡ׻̤νΰ̤ο * νΰ̤ο Ȱפޤ
οʤΤǡϰξƱǤ
ǡ⤷ 0 * 0 99 * 99 ʤС 8 * 10 = 80 ġǤ
0 * 0 3 * 3 Ϥ٤ 0 ǶʤΤǡ80 - 4 = 76 ġˤʤޤ

ǽ餫鼰ǽ񤱤С(10a + b)^2 = 100a^2 + 20ab + b^2ΤȤǤ͡
ǤϿޤ褯ȤΤǡμΡդ 10a + b ѡդϤʬ䡤ȹͤơb^2 ˵塤
ȤΤ⤤Τޤ

ʤǸη׻λϡ4 + 8 * 9 = 7610 * 10 - 4 - 2 * 10 = 76ʤɡǤ⤤Ǥ͡
428ڡ 12:53:27 44417
uchinyan
ǼĤɤߤޤ


ʲεҤϡ⤽ϻ伫ȤٶΥ˲᤮ʤΤǤ
޳ѤʤΤǤͤޤǤˤȻפäƸΤǤ
Ȥ⤢äơˡʬϻ F.A.Q. ΡֻϰϡפεҤ򻲹ͤˡ
ĿͤǤиǼŪ˹ԤäƤΤǤäơҴŪʤΤǤϤޤ
ޤǤ⤴ͤǤ餺

⡤λˤϼ㴳ΥХꥨ󤬤ޤȤ⡤ɤϡ
ο * 10 + ξ硤
׻̤νΰ̤ο * νΰ̤ο Ȱס
ȤˡΤ褦Ǥ

Ƴ餷ͤȤƤϡ
̤Ʒ׻λɤ߼롤ϡοդʬ䡤
դ꤬Ǥ͡

ʤ轵 5/5 ϢǤǽȤȤ⤢äƤϤꤽǤ͡
428ڡ 13:11:44 44418
ˤ⡼
ˤϡʬϲΤ褦ˡ׻̤Σΰ̤ζƤޤ

ο¤Ȥ롣
οΣɮ


ߡ
______________
ߣ¡¡ߣ
ߣߣ¡


οΣΣΰ̤
֣ߣߣߣ¡ܡ¡ߣ¡סΣΰ
֣ߣߣߣ¤Σΰ̡סܡ֣¡ߣ¤Σΰ̡
֡ߣߣ¤Ρΰ̡סܡ֣¡ߣ¤Σΰ̡
Ǥ롣
֡ߣߣ¤Ρΰ̡סܡ֣¡ߣ¤Σΰ̡
줾ζĴ٤Ф褤
ޤ
֡ߣߣ¤Ρΰ̡פϡ¤ɤοǤɬǤ롣
顢֣¡ߣ¤Σΰ̡פζĴ٤Ф褤

¡ߣ¤Σΰ̤ˤʤΤ
¡0,1,2,3,5,7,8,9ΣĤ롡

äơ֣¡ߣ¤Σΰ̡פˤʤΤ
줾ΣʡᣰˤФƣĤǤ롣
ᣰΤȤϡ¡0,1,2,3ΣĤΤǡ
դϡġȤʤ롣
ʾ
429ʶ 2:58:44 44419
ˤ⡼
ˤϡʬϲΤ褦ˡ׻̤Σΰ̤ζƤޤ

ο¤Ȥ롣
οΣɮ


ߡ
______________
ߣ¡¡ߣ
ߣߣ¡


οΣΣΰ̤
֣ߣߣߣ¡ܡ¡ߣ¡סΣΰ
֣ߣߣߣ¤Σΰ̡סܡ֣¡ߣ¤Σΰ̡
֡ߣߣ¤Ρΰ̡סܡ֣¡ߣ¤Σΰ̡
Ǥ롣
֡ߣߣ¤Ρΰ̡סܡ֣¡ߣ¤Σΰ̡
줾ζĴ٤Ф褤
ޤ
֡ߣߣ¤Ρΰ̡פϡ¤ɤοǤɬǤ롣
顢֣¡ߣ¤Σΰ̡פζĴ٤Ф褤

¡ߣ¤Σΰ̤ˤʤΤ
¡0,1,2,3,5,7,8,9ΣĤ롡

äơ֣¡ߣ¤Σΰ̡פˤʤΤ
줾ΣʡᣰˤФƣĤǤ롣
ᣰΤȤϡ¡0,1,2,3ΣĤΤǡ
դϡġȤʤ롣
ʾ
429ʶ 3:13:20 44420

10a+bФ(10a+b)^2=100a^2+20ab+b^2
ΰ̤˱ƶΤꤽʬˤĤƹͤ
20ab2abʤΤǡΰ̤϶äơ10ܤ20abϾ˽ΰ̤Ǥ뤳Ȥ狼롣
äơ2褷ǽΰ̤Ǥʪϡb^2νΰ̤ǤʪǤ롣
ϡb=4,6ΤߤʤΤǡĿ
(99-4+1)-2*10=76ʸġ
429ʶ 17:21:47 44421