Array
(
[fid] => 6728
[description] => 理论知识,玩法技巧,专业术语解释,迈向体育菠菜高手的摇篮!
[password] =>
[icon] => 7c/common_6728_icon.png
[redirect] =>
[attachextensions] =>
[creditspolicy] => Array
(
[digest] => Array
(
[usecustom] => 1
[cycletype] => 0
[cycletime] => 0
[rewardnum] => 1
[extcredits1] => 0
[extcredits2] => 0
[extcredits3] => 0
[extcredits4] => 0
[extcredits5] => 0
[extcredits6] => 0
[extcredits7] => 0
[extcredits8] => 0
[rid] => 3
[fid] => 6728
[rulename] => 加精华
[action] => digest
[fids] => 6966,6903,6944,6958,6929,6874,6894,6896,6885,6857,6868,555,6783,6799,6845,6895,6817,1111,6873,6870,6821,6951,6879,6876,6948,6904,6950,6956,6862,6886,6957,6779,6907,6855,6945,6952,6954,6955,6959,6914,6965,6971,6972,6960,6953,6942,6910,6949,6962,6963,6964,6927,6926,6973,6728
)
[post] => Array
(
[usecustom] => 1
[cycletype] => 1
[cycletime] => 0
[rewardnum] => 5
[extcredits1] => 0
[extcredits2] => 0
[extcredits3] => 0
[extcredits4] => 0
[extcredits6] => 0
[extcredits5] => 0
[extcredits7] => 0
[extcredits8] => 0
[rid] => 1
[fid] => 6728
[rulename] => 发表主题
[action] => post
[fids] => 32,52,67,447,1120,1151,1156,6750,6762,6763,6766,6769,6772,6773,6787,6796,6808,6809,6810,6813,6814,6820,6829,6830,6846,6856,6864,6865,6827,6930,6931,6776,6858,6880,6764,6932,6871,6758,6905,1116,6788,6812,6798,6736,6759,6842,6966,6767,6828,6924,6935,6936,6938,6940,6941,6826,6909,6803,6919,6911,6908,6881,6920,6912,6913,6921,6925,6922,6789,6818,6819,6872,6928,6866,6969,6891,6889,6888,6917,6939,6947,6961,6824,6815,6937,6943,6970,6869,1121,6934,6903,6974,6944,6958,6929,6874,6894,6765,6896,6885,6857,6868,1113,6778,56,6844,6878,6802,6933,6811,6923,6877,6875,6918,6892,6757,6832,6833,6836,6790,6838,6794,6791,6795,6793,6848,6837,6849,6850,6851,6852,6853,6854,6863,6882,6900,6902,555,6783,6799,6845,6895,6817,1111,6873,6870,6821,6951,6879,6876,6948,6904,6950,6956,6862,6886,6957,6779,6907,6855,6945,6952,6954,6955,6959,6914,6965,6971,6972,6960,6953,6942,6910,6949,6962,6963,6964,6927,6926,6973,6728
)
[reply] => Array
(
[usecustom] => 1
[cycletype] => 1
[cycletime] => 0
[rewardnum] => 0
[extcredits1] => 0
[extcredits2] => 0
[extcredits3] => 0
[extcredits4] => 0
[extcredits6] => 0
[extcredits5] => 0
[extcredits7] => 0
[extcredits8] => 0
[rid] => 2
[fid] => 6728
[rulename] => 发表回复
[action] => reply
[fids] => 32,52,67,447,1120,1151,1156,6750,6763,6766,6769,6772,6773,6787,6796,6808,6809,6810,6813,6814,6820,6829,6830,6846,6856,6864,6865,6827,6930,6931,6776,6858,6880,6764,6932,6871,6758,1116,6788,6812,6798,6736,6759,6842,6966,6767,6828,6924,6935,6936,6938,6940,6941,6826,6909,6803,6919,6911,6908,6881,6920,6912,6913,6921,6925,6922,6789,6818,6819,6872,6928,6866,6969,6891,6889,6888,6917,6939,6947,6961,6824,6815,6937,6943,6970,6869,1121,6934,6903,6974,6944,6958,6929,6874,6894,6765,6896,6885,6857,6868,1113,6778,56,6844,6878,6802,6933,6811,6923,6877,6875,6918,6892,6757,6832,6833,6836,6790,6838,6794,6791,6795,6793,6848,6837,6849,6850,6851,6852,6853,6854,6863,6900,6902,555,6783,6799,6845,6895,6817,1111,6873,6870,6821,6951,6879,6876,6948,6904,6950,6956,6862,6886,6957,6779,6907,6855,6945,6952,6954,6955,6959,6914,6965,6971,6972,6960,6953,6942,6910,6949,6962,6963,6964,6927,6926,6973,6728
)
)
[formulaperm] => a:5:{i:0;s:0:"";i:1;s:0:"";s:7:"message";s:0:"";s:5:"medal";N;s:5:"users";s:0:"";}
[moderators] =>
[rules] => 1)发布主题帖+1经验+1活跃币,回贴+10华小分
2)Lv.1及其以上级别会员可以发布主题帖,Lv.1及其以上会员可以回帖
4)转帖请在主题上标明
5)禁止发布与本版块无关的主题(违反,帖子转移到相关版块,并扣50经验)
6)禁止回复与主题无关的帖子(违反,帖子删除,并扣10经验)
[threadtypes] => Array
(
[required] => 1
[listable] => 1
[prefix] => 1
[types] => Array
(
[137] => 体育菠菜玩法规则
[138] => 体育菠菜心得方法
[139] => 体育菠菜问题咨询
)
[icons] => Array
(
[137] =>
[138] =>
[139] =>
)
[moderators] => Array
(
[137] =>
[138] =>
[139] =>
)
)
[threadsorts] => Array
(
)
[viewperm] => 9 26 22 11 12 13 14 15 27 43 44 60 61 62 63 64 19 31 67 68 69 73 75 76 81 83 84 87 89 90 91 33 38 57 58 65 66 74 77 79 80 85 86 1 2 3 7 8 92
[postperm] => 22 11 12 13 14 15 27 43 44 60 61 62 63 64 75 76 83 84 87 33 38 58 65 66 74 77 79 80 85 86 1 2 3 92
[replyperm] => 26 22 11 12 13 14 15 27 43 44 60 61 62 63 64 67 68 73 75 76 83 84 87 33 38 57 58 65 66 74 77 79 80 85 86 1 2 3 92
[getattachperm] => 26 22 11 12 13 14 15 27 43 44 60 61 62 63 64 67 68 73 75 76 83 84 87 33 38 57 58 65 66 74 77 79 80 85 86 1 2 3 92
[postattachperm] => 26 22 11 12 13 14 15 27 43 44 60 61 62 63 64 67 68 73 75 76 83 84 87 33 38 57 58 65 66 74 77 79 80 85 86 1 2 3 92
[postimageperm] => 26 22 11 12 13 14 15 27 43 44 60 61 62 63 64 67 68 73 75 76 83 84 87 33 38 57 58 65 66 74 77 79 80 85 86 1 2 3 92
[spviewperm] =>
[seotitle] =>
[keywords] => 足球,篮球,体育,规则,打法
[seodescription] => 理论知识,玩法技巧,专业术语解释,迈向体育菠菜高手的摇篮!<br /><a href="http://www.hrceluebbs.com/thread-51289-1-1.html" target="_blank"><font color="red">【体育菠菜新人必看】</font></a> <a href="http://www.hrceluebbs.com/forumdisplay.php?fid=6728&filter=type&typeid=33" target="_blank"><font color="red">【体育菠菜规则】</font></a> <a href="http://www.hrceluebbs.com/forumdisplay.php?fid=6728&filter=type&typeid=34" target="_blank"><font color="red">【体育菠菜心得】</font></a> <a href="http://www.hrceluebbs.com/forumdisplay.php?fid=6728&filter=type&typeid=100" target="_blank"><font color="red">【体育菠菜问题咨询】</font></a>
[supe_pushsetting] =>
[modrecommend] => Array
(
[open] => 0
[sort] => 0
[orderby] => 2
[num] => 10
[imagenum] => 5
[imagewidth] => 200
[imageheight] => 150
[maxlength] => 0
[cachelife] => 900
[dateline] => 0
)
[threadplugin] => Array
(
)
[replybg] =>
[extra] => a:2:{s:9:"namecolor";s:0:"";s:9:"iconwidth";s:2:"60";}
[jointype] => 0
[gviewperm] => 0
[membernum] => 0
[dateline] => 0
[lastupdate] => 0
[activity] => 0
[founderuid] => 0
[foundername] =>
[banner] =>
[groupnum] => 0
[commentitem] =>
[relatedgroup] =>
[picstyle] => 0
[widthauto] => 0
[noantitheft] => 0
[noforumhidewater] => 0
[noforumrecommend] => 0
[livetid] => 0
[price] => 0
[fup] => 6831
[type] => forum
[name] => 体育知识讲座
[status] => 1
[displayorder] => 5
[styleid] => 0
[threads] => 2735
[posts] => 23139
[todayposts] => 0
[yesterdayposts] => 0
[rank] => 113
[oldrank] => 113
[lastpost] => 125127 升降盘理论 1741350473 france89
[domain] =>
[allowsmilies] => 1
[allowhtml] => 1
[allowbbcode] => 1
[allowimgcode] => 1
[allowmediacode] => 0
[allowanonymous] => 0
[allowpostspecial] => 1
[allowspecialonly] => 0
[allowappend] => 0
[alloweditrules] => 0
[allowfeed] => 0
[allowside] => 0
[recyclebin] => 1
[modnewposts] => 2
[jammer] => 1
[disablewatermark] => 0
[inheritedmod] => 0
[autoclose] => 0
[forumcolumns] => 0
[catforumcolumns] => 0
[threadcaches] => 0
[alloweditpost] => 1
[simple] => 16
[modworks] => 1
[allowglobalstick] => 1
[level] => 0
[commoncredits] => 0
[archive] => 0
[recommend] => 0
[favtimes] => 0
[sharetimes] => 0
[disablethumb] => 0
[disablecollect] => 0
[ismoderator] => 0
[threadtableid] => 0
[allowreply] =>
[allowpost] =>
[allowpostattach] =>
)
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 2772 小时
本月在线: 0 分钟
|
|
一、我们先假设一个抽样数W={W(ij)|i,j∈N}, W(ij)就是比赛的进球结果,i,j分别表示主客队的进球数。
5 V# I) y3 J( K- x* u那么,平局、主胜、客胜就有以下表达式:
5 Z: q. _0 K W" m# b# Q/ `7 MA(d) = {W(ij)|i=j, i∈N, j∈N}
& z: |- m0 S9 @A(h) = {W(ij)|i>j, i∈N, j∈N}
" R( k7 f; j, Q( \' ?5 ^A(a) = {W(ij)|i 接着我们引入一个符号P(i)表示平胜负的概率,P(Ai)∈[0,1]:0 ^) N; J/ B2 z5 j* [. X
P(i)=P(Ai), i∈{0, 1, 2}
' _$ r; {) d7 F: s2 k) W. |9 w二、首先来说说平手盘(即0:0Handicaps或我们经常在国外上看到的(Moneyline)9 k" N) k5 M4 }/ g# R( ^7 t
假设b(h)表示主队的投注总数,b(a)表示客队的投注总数,那么投注主客队的回报总数额为:4 R' d# b& K" N5 r
{b(h) , 即上面所述的A(d)结果发生! U8 l8 m B* z. x3 S' n4 Q3 q
R(1)={O(h)*b(h),即上面所述的A(h)结果发生8 [$ N- @. f! x" r
{0 , 即上面所述的A(a)结果发生7 X0 x; m8 d, f, S
以及, `- x% t( ^" n4 P+ E u
{b(a) , 即上面所述的A(d)结果发生
' B; {9 f- G/ `% H/ [: E$ qR(2)={0, 即上面所述的A(h)结果发生3 K5 i; g8 [$ ~, \
{O(a)*b(a),即上面所述的A(a)结果发生
, s% Q0 U: F+ Q2 f5 k1 I如果O(h)表示平手盘下的主队赔率,O(a)表示平手盘下的客队赔率
7 a; _9 c- \1 G- K1 r* r那么投注主客的期望回报总数分别为' _/ q% d% e" }# `- p
E[R(1)]=P(d)*b(h)+P(h)*O(h)*b(h)=b(h)*[P(d)+p(h)O(h)]
* o2 ~) W$ L L$ }- b1 nE[R(2)]=P(d)*b(a)+P(a)*O(a)*b(a)=b(a)*[P(d)+p(a)O(a)]
+ U& b9 o5 T) v按照真实赔率(暂不包含庄家优势),我们可以认为实际投注回报与期望投注回报相等
' j- m7 i6 V x+ U! UE[R(1)]=b(h)*[P(d)+p(h)O(h)]=b(h)) d9 i s) w& d; x
P(d)+p(h)O(h)=1
5 f: i# f) H, E! u1 o9 \O(h)=(1-P(d))/P(h)-----这里就得出平手盘下计算主队赔率的公式9 j) x: p5 ^& ]8 P' M
E[R(2)]=b(a)*[P(d)+p(a)O(a)]=b(a)
7 _4 h3 x4 G* a0 i+ `P(d)+p(a)O(a)=1
. x N# Z% y. l- o. jO(a)=(1-P(d))/P(a)-----这里就得出平手盘下计算客队赔率的公式
2 L1 i9 L8 N; o c; ~9 B在极端情况下,可以认为平手盘亚洲赔率(或moneyline),就是在不发生平局结果条件下(就是公式中P(d)=0),主胜客胜概率的倒数& ~( h* {/ _$ t/ \3 J
三、半球盘的计算描述
- _! x g/ h6 k, _6 E接着我们来看看主队(HOME TEAM)受半球(1/2:0 Handicaps的情况)9 u; U' s4 H( \7 d u3 n6 v* ]
还是假设b(h)表示主队的投注总数,b(a)表示客队的投注总数,那么投注主客队的回报总数额为:
$ G1 h! }+ V5 r) C, T% a1 `8 B% p{O(h)*b(h),即上面所述的A(d)结果发生4 }' o& \! `+ d, l, L! t
R(1)={O(h)*b(h),即上面所述的A(h)结果发生0 P& m+ G5 y( X2 _ P
{0 , 即上面所述的A(a)结果发生
7 p6 x4 v8 x: N& |4 m$ @以及
6 K- ^2 H, Z3 I8 p& j! i& T{0 , 即上面所述的A(d)结果发生
! j' Q/ t% c9 j3 {R(2)={0, 即上面所述的A(h)结果发生
, E) k b% I! h4 D! S: I7 R{O(a)*b(a),即上面所述的A(a)结果发生
9 F; d1 g3 C: P4 S# P, e" ^! k如果O(h)表示受半球盘下的主队赔率,O(a)表示客队赔率' w9 b5 S- K; E; ?
投注主客的期望回报总数分别为
" e- K' X1 E& e( xE[R(1)]=P(d)*O(h)*b(h)+P(h)*O(h)*b(h)=b(h)*O(h)*[P(d)+p(h)]
8 L# e7 X/ C0 N) R, AE[R(2)]=P(a)*O(a)*b(a). y5 D. x- D; _% y `; h
假设实际投注回报与期望投注回报相等
8 s0 `7 _; G7 I- KE[R(1)]=b(h)*O(h)*[P(d)+p(h)]=b(h)
9 R0 Z6 N% D' i- P. I/ LO(h)*[P(d)+p(h)]=1
' q Z3 d0 T+ `; j* ^. t4 HO(h)=1/[P(d)+p(h)]+ s' u0 h+ ]1 u; L
E[R(2)]=P(a)*O(a)*b(a)=b(a)$ U& b6 v |( h \& c3 z% F4 t9 x
P(a)*O(a)=1
3 K" L' j2 K3 m& v0 wO(a)=1/P(a)
7 `! Q' Q) z( T# U# X* e, U同样道理可以计算让半球(0:1/2 Handicaps)的亚洲盘赔率( }4 D3 {! q# i: s- H" E
O(h)=1/p(h)4 P- t$ x8 A; x! K1 `' ]2 ]
O(a)=1/[P(d)+p(a)]
W+ b, [5 p7 l i四、平半球盘的计算描述- x8 t8 {; H2 s, F& u7 \
这个稍复杂一点
& ]; R; Y- D% U8 Y4 N5 P接着我们来看看主队(HOME TEAM)受平半球(1/4:0 Handicaps的情况)
- r, w& ]0 ?. E, B# R% n' Z( \$ s还是假设b(h)表示主队的投注总数,b(a)表示客队的投注总数,那么投注主客队的回报总数额计算:$ s6 |: S& K; K7 b( {
{[O(h)+1]/2×b(h), 即上面所述的A(d)结果发生6 w( S1 w5 G t% a6 ~
R(1)={O(h)*b(h), 即上面所述的A(h)结果发生* b3 L* O4 A3 |8 Z
{0, 即上面所述的A(a)结果发生
6 n* X" E/ K8 I以及
7 a6 j1 X6 T- ?& f0 O{1/2×b(a) , 即上面所述的A(d)结果发生
* j1 [+ d* G; m. u BR(2)={0, 即上面所述的A(h)结果发生
, h$ F! ?# H, o: h8 ?% f; u0 G{O(a)*b(a), 即上面所述的A(a)结果发生' d- E6 m& ]' D! k2 T
投注主客的期望回报总数分别为
" G8 e( F$ A f* Y6 S: i" W8 r4 ^E[R(1)]=P(d)×{[O(h)+1]/2}×b(h)+P(h)×O(h)×b(h)=b(h)*(P(d)×{[O(h)+1]/2}+P(h)×O(h))
6 R' h" V% }& V: |E[R(2)]=1/2×b(a)×P(d)+P(a)*O(a)*b(a)=b(a)*[1/2×P(d)+P(a)*O(a)]6 b; z8 X/ ^$ l! g0 d5 {$ @
和上面计算过程相似,得出:( ~8 a8 F8 y- E0 J8 p; K
E[R(1)]=b(h)*(P(d)×{[O(h)+1]/2}+P(h)×O(h))=b(h)" `: n7 p0 Z2 u0 t5 w
P(d)×{[O(h)+1]/2}+P(h)×O(h)=1/ L, X; x$ V M* U, g/ [. \
O(h)*[1/2*P(d)+P(h)]+1/2*P(d)=13 T1 A6 P9 C1 ]
O(h)=[1-1/2*P(d)]/[1/2*P(d)+P(h)]=(1-P(d)/2)/(P(d)/2+P(h))
. J! K8 ~- c& [0 nE[R(2)]=b(a)*[1/2×P(d)+P(a)*O(a)]=b(a)2 x S4 H: S0 R% S
1/2×P(d)+P(a)*O(a)=1
* G9 k5 _' T7 I, ]( Z7 k1 UO(a)=[1-1/2×P(d)]/P(a)=(1-P(d)/2)/P(a)
5 Q- k* M* o) {8 x$ Z同样主队让平半就分别是
, @+ R+ c0 U8 _$ MO(h)=(1-P(d)/2)/P(h)( z8 E0 f' q5 x
O(a)=(1-P(d)/2)/(P(d)/2+P(a))$ ], y4 b' }4 n, b
五、一球、两球等整数盘(这里先暂时说主队让1球的情况,0:1,Handicaps,其它可以类推的)
3 G3 g$ R* B# q# d, @1 b1 r可以采用类似公式,在(一)中我们分别用A(d)、A(h)、A(a)描述平局、主胜、客胜事件的发生。现在改用另外的符号代替,如B(d)、B(h)、B(a),同时除了平、胜、负概率P(i)(i=d,h,a)外,还需要引入一个一个概率值P(hX)来代表主队赢一球(X=1)、二球(X=2)...的概率,下面来进行演算
9 S+ Y7 K4 H/ e2 o/ c. q4 V7 Z$ zB(d) = {W(ij)|i=j+k, i∈N, j∈N,k∈N}5 t/ l" a- M2 L, O+ j, q8 ~
B(h) = {W(ij)|i>j+k, i∈N, j∈N,k∈N}) M& s) B5 z3 ?
B(a) = {W(ij)|i i,j分别表示主客队的进球数,k代表让球数
{' A; \1 w- \8 w接着,假设b(h)表示主队的投注总数,b(a)表示客队的投注总数,那么投注主客队的回报总数额为:
7 H t$ V/ ]! L2 h0 I{b(h)*O(h) , 即上面所述的B(d)结果发生( {5 r# k. n. |2 d; e4 J5 `
R(1)={b(h)-O(h)*b(h),即上面所述的B(h)结果发生
- N n4 \& V; ~{0 , 即上面所述的B(a)结果发生
0 }2 G: Y9 A1 T以及
1 _* _3 y; o3 ~: H! c{b(a) , 即上面所述的B(d)结果发生 T, f- O, ? `3 }# } ]- z
R(2)={0, 即上面所述的B(h)结果发生4 I; l! T" `9 N& _( b" i# T
{O(a)*b(a),即上面所述的B(a)结果发生
+ c3 Q/ z4 A5 n1 ~" _1 j投注主客的期望回报总数分别为
. w* ]6 M( U" `# m. YE[R(1)]=P(h)*b(h)*O(h)+P(h1)*(b(h)-O(h)*b(h))=b(h)*[P(h)*O(h)+P(h1)-P(h1)*O(h)]
* @8 N1 B& h& e* X7 w5 NE[R(2)]=P(h1)*b(a)+(1-P(h))*O(a)*b(a)=b(a)*(P(h1)+O(a)-P(h)*O(a))5 m/ Q9 z% b. S6 p5 h* _
假设实际投注回报与期望投注回报相等 G9 _- h y7 D
E[R(1)]=b(h)*[P(h)*O(h)+P(h1)-P(h1)*O(h)]=b(h)
/ _# C" f! k ~: A# A7 MP(h)*O(h)+P(h1)-P(h1)*O(h)=1- o' p6 q4 X+ _" W6 U' P1 r
O(h)*(P(h)-P(h1))=1-P(h1)3 D$ I0 b! k) |2 K0 y" z G; c
O(h)=(1-P(h1))/(P(h)-P(h1))9 r2 X' P6 `7 m+ Q0 x
E[R(2)]=b(a)*(P(h1)+O(a)-P(h)*O(a))=b(a): P7 Q* f+ \0 p- L# E" Y4 _
P(h1)+O(a)-P(h)*O(a)=1
- o/ {6 T/ ?6 I; l7 wO(a)*(1-P(h))=1-P(h1)
+ W, ^, i2 G; h2 n7 C; @. jO(a)=(1-P(h1))/(1-P(h))# v. u( g- |2 v6 J
以上(五)部分是让一球的情况,让两球以上整数盘和反过来受让整数盘是可以同样演算的。* ]( E% m; I$ u, v7 ~: L, L1 V
简单小结一球或整数盘,其实理论的演算过程不难,但是如何准确计算赢整数球的概率(P(hi)就是其中的难点,这已经涉及到如何用相对动态实力差或球差来计算各种赢球概率(是指赢1、2、3...球的概率,也可以说是赢球比分概率)的问题,使用自己数据模型里的数据来计算。 |
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 8061 小时
本月在线: 9 小时
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 59 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 91 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 105 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 1426 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 1116 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 分钟
本月在线: 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 4844 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 6295 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 5136 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|
当前离线
经验:
天策币:
活跃币:
策小分:
总在线: 1814 小时
本月在线: 0 分钟
|
|
|
|
|
|
|
|
|
|