Dawid KURCZYK, Sławomir HERMA Sieciowa gra decyzyjna
Transkrypt
Dawid KURCZYK, Sławomir HERMA Sieciowa gra decyzyjna
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d3"R #".@' .+"#$#.,+$ ',<=,#**(#$#* /### *'2 .,#" #" *(#$ ? /### ##", ."+ .#,.#, 3- d *,"# +2( + #'+ @ $', .?"<= '2#"## "+/ 2 <2'## ' .+"#$#"?<2,/ - d * # /##5 #+*#4 .?" 4 22## *'2 .,#4 ', . /*,#. $#* /###4 ##", ; 4- d 2,##"<= ' .+"#$ @ .?# 2,',#= " ##,> $; 4"#, 4'#. 42##.,>$< 4- d'**', (#,<= * ',## *'2*$/+ .; "+' .+"# $3A &##.' .+"#$'8 d/#*3>"<, .# 4 *>@ *'2#($ "# #+*>',R2 4-3*,> .2/3#(#' .+"#$#- d(+3#'/+ -,',###"#$."+' .+"# $3- d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a 7"# *33#$',2##a.+3#.#'(+? =a&$#*'2'>//R2; /3#=3 *#a ,+3 * ',$',','#'R*2; $ '/ o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p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bbA4A2"b]A242afGzfFA %,820A:>0K#,+'*