٥륯åĥ
üԤϺ222216͡
äͤϼʬʳ15ͤΤԻðʳ14ͤȰꡣ
1ԻäοͤϡʬλòˤʤơԻò˻äͤԻäοͤͤȰꤷʤΤ13ͤȰꡣ
2Իäοͤϡ2ԻäǻĤλþ0124ͤȰꤷʤΤ11ͤȰꡣ
1äοͤϤβԻä8ͤȰꤷʤΤ7ͤȰꡣ
Իäοͤϰꤷʤ
줾˿Ϳ򤫤ƹפ2dzä80

ǽ׻ߥ74äΨ򲼤Ƥޤޤ

66ڡ 0:34:12 48180
ˤ⡼
üԤκǹͿ2416ͤȤΤϤ狼äΤǡȤϻԻä16ѥ­ƥȤޤƬȤäƤʤ
¡ 66ڡ 0:24:08 HomePage:ͥĤäƤߤ48181
algebra
Իäοͤơ15ͤäȤƹͤ롣áԻáߤ򼭽񼰤ǹͤơ14121110965443280()
66ڡ 0:24:51 48182
Mr.ǥ
ˤ⡼͡#48181ˤƱͤǤ
(äȴñ˽Фˡꤽ
66ڡ 0:30:56 48183
ǯ
16ͤϤˤ狼äΤǤ褬16C215C2
ɡ16ѥǡalgebra#48182Τ褦1ͤĽ֤˿
66ڡ 0:52:12 48184
ۤ
16C2=120̤꤫顢꤬ʤȤ߹碌
(1+(4C1)*2+(4C2)*2^2+(4C3)*2^3+1*(2^4-1))*(1/2)=40̤ޤʡء
ץץץɡ 66ڡ 0:54:56 HomePage:ʤΤ48185
鯤ο
ľΣä顢(4^n-3^n-2^n+1)/2Ǥ礦
66ڡ 0:56:27 48186
鯤ο
Իäξ00001111bit16̤ɽơ
ļȲ¤١1616Υޥꡢ򺵤륻(i,j)ˡBITAND(i,j)
ǤʤޥοơгΣǤʤޥοƤ顢dz롣

excelǤäƲ櫓̲ˤꡢΤ褦˹ͤޤ

n=4
ޥ4^n
0Υޥ3^n
Ǥʤޥο4^n-3^n
гΣǤʤޥο2^n-1
顢(4^n-3^n-2^n+1)/2

66ڡ 1:08:27 48187
鯤ο
0Υޥ3^n

bitˤĤơbitandȤʤΤϡ0-00-11-0Σ̤ꡣ
bitʬΡ
66ڡ 1:19:20 48188
ۤ
ľ n (4^n - 3^n - 2^n + 1)/2 ˤʤꤽǤ
#48185 ˤ̲ͤ (2^n)C2 - (1/2)[i=1n]{(nCi)*(2^i)}
= (1/2){(2^n)(2^n - 1) - ((2+1)^n - 1)} = (1/2)(4^n - 3^n - 2^n + 1)
ĤȤˤʤޤǤ礦ʡء
ץץץɡ 66ڡ 1:31:54 HomePage:ʤΤ48189
Shin Koba
5C5✖5 ➕ 5C4✖4 ➕ 5C3✖3 ➕ 5C2✖2 ➕ 5C1✖1 80
Ʊˡߤޤ󡣤ȤꤢʬήǤ
66ڡ 6:00:09 48190
Shin Koba
5C55 5C44 5C33 5C22 5C11 80
ʸƤޤ
66ڡ 6:03:02 48191
ϥ饮㡼ƥ
ǧǤ

ͤ뵤ϤޤäƤޤ
ԡ 66ڡ 8:27:22 MAIL:tfuruya@aria.ocn.ne.jp HomePage:湩ؤ˥48192
ߤ
ͤλåѥޤ񤭽Фơ줾줬̤ɤƤ
ͤ飲ͤȤ߹碌ϣ̤ʤΤǡͤİ򤹤ͤ
ɽˡߤǽ񤭹ǽʬǤ
66ڡ 12:09:25 48193
ֿء׾ι
ΰ̣ʬʤơˤʤޤ
10ͤǤ褦ʤΤǡ¿10ͤȵޤǤ
Τʸ褯ɤޤʤ(ɤʤ)ȤƤޤ
66ڡ 12:42:32 48194
̻
мԡ1͡ˡ󤵤ܤʣ͡ˡ󤵤ܤʣ͡ˡ
󤵤ܤʣ͡ˤγƥ롼פˤ櫓롼פޤ
ꤹƥ롼פǤΤ߰ꤹĴ٤ޤ
ۤߤʷ׻ߥ򣲲⤷ơäȤɤĤޤ
67ʶ 1:01:37 48195
⡼ޥ
ְäƤޤ...^^;
⤹ˤ줺...
2^4=16ͤǡƻ...

1111
1110
1101
1011
0111
1100
1001
1010
0011
0101
0110
1000
0100
0010
0001

...顢Ʒ1Ʊˤ(2ʾ1Ĥǥ)ޤ...^^;
so...
夫...(0+1+2+3+4+5+6+7+7+8+9+7+7+7+7)=45+35=80
72ФΤԻ׵ĤǤ...?
Ȥ⤫ư ^^;v

ΤǤٶm(_ _)m
67ʶ 1:18:22 48196
ޤ륱
⻲äƤʤͤκƲˤ롩
ԤΥޥ뤵󤫤ʡ
68ڡ 12:27:04 48197
ޤ
äȤޤorz

ǤࣲǤνʣμ
狼ʤäΤǡɤϿ夲ƤΰǤ
Ⱦü˷׻Dz򤳤Ȥơ٤ְ㤨ޤ

#48197 ޤ륱󤵤ޡ
Τˡ^^

#48191 Shin Koba
ڤ狼餺 T T
СƳޤm(_ _)m

somewhere in the world 69 0:56:02 48198
ޤ륱
ȤǡƤΡ󼣤ޤ ޥ뤵
1097ΤϤʤǤ10952³äΤ1ʬäƤޤ
611ʲС 13:36:41 48199
ߤߤϥ
Ķפ֤˲򤭤ޤ
ƱͤʣŤʤäƤⰮ1ʤǤ͡
algeblaƱ褦˽񤭽Ф
14121110965443280Ǥ
611ʲС 16:16:21 48200
ޥ
#48199 ޤ륱󤵤

Ŧ꤬Ȥޤޤ
MBP 612ʿ 18:53:20 HomePage:48201