由 G@ry 於 星期二 六月 12, 2007 6:57 pm
這是external OR 的問題:#ed_op#br#ed_cl#設數列長度為x,#ed_op#span style="font-size: 12pt; font-family: 新細明體;"#ed_cl#♁=#ed_op#/span#ed_cl#External OR;#ed_op#br#ed_cl#當x=2#ed_op#sup#ed_cl#n#ed_op#/sup#ed_cl#,n>0,解為將所有數字#ed_op#span style="font-size: 12pt; font-family: 新細明體;"#ed_cl#♁:#ed_op#/span#ed_cl##ed_op#br#ed_cl#e.g. 10001001111010110100101101001111, x=2#ed_op#sup#ed_cl#5#ed_op#/sup#ed_cl#, 有18個1 => 0;#ed_op#br#ed_cl#e.g. 1001010010011100, x=2#ed_op#sup#ed_cl#4#ed_op#/sup#ed_cl#, 有7個1=> 1;#ed_op#br#ed_cl#當x=2#ed_op#sup#ed_cl#n#ed_op#/sup#ed_cl#+1,n>0,解為將首尾數字#ed_op#span style="font-size: 12pt; font-family: 新細明體;"#ed_cl#♁#ed_op#/span#ed_cl#:#ed_op#br#ed_cl#e.g. 11110001101110100000111101010010100111010000010011000010110111011 = 0;#ed_op#br#ed_cl#e.g. 101100000001101111110111111100100 = 1;#ed_op#br#ed_cl#當x=2#ed_op#sup#ed_cl#n#ed_op#/sup#ed_cl#-1,n>0,解為將單位數字#ed_op#span style="font-size: 12pt; font-family: 新細明體;"#ed_cl#♁#ed_op#/span#ed_cl#:#ed_op#br#ed_cl#e.g. 1111100001111000010010111001101, 單位有10個1 => 0;#ed_op#br#ed_cl#e.g. 110100110111010, 單位有3個1 => 1;#ed_op#br#ed_cl#暫時只想到x=2次方的通解,未想到x=所有正整數的通解...#ed_op#br#ed_cl#還在思考中...#ed_op#br#ed_cl##ed_op#br#ed_cl#對於最後k個數字,跟預測最後一個數字一樣,將x-k當成x來計,作k次運算便可以了....#ed_op#br#ed_cl##ed_op#br#ed_cl#