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發表 ☆ ~ 幻 星 ~ ☆ 於 星期四 二月 23, 2006 6:20 pm

此題我試驗的結果為...

2*2
1~13

2*3
1~36

步之是否有更高的極限..

發表 piny 於 星期六 二月 11, 2006 11:47 pm

#ed_op#DIV#ed_cl#12#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#54#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1=1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#2=2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#3=1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#4=4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#5=5#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#6=2+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#7=1+2+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8=5+1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#9=5+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#10=1+5+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#11=5+4+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#12=1+2+5+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼12#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#-----------#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#12#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#46#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1=1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#2=2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#3=1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#4=4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#5=4+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#6=6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#7=2+1+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8=2+6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#9=1+2+6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#10=6+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#11=1+4+6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#12=2+6+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#13=1+2+4+6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼13(小弟測試目前極值)#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#-----------#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#13 15#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 1  2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 5  4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼12可由下四個數字完成#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#13=13#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#14=13+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#15=15#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#16=13+1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#17=15+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#18=15+2+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#19=13+1+5#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#20=13+1+2+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#21=15+2+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#22=15+2+4+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#23=13+1+5+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼23#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#WBR#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#-----------#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 1  3#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 4  2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 4 11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼10可由上四個數字完成#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#11=11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#12=3+1+4+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#13=11+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#14=1+3+2+4+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#15=11+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#16=3+2+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#17=1+3+2+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#18=1+4+2+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#19=4+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#20=1+4+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#21=4+2+11+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#22=1+4+2+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#23=3+1+4+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#24=3+2+4+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#25=1+3+4+2+4+11#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼25#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#-----------#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#11  6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 1  2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# 4  7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1=1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#2=2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#3=1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#4=4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#5=1+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#6=6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#7=7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8=6+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#9=6+2+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#10=7+2+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#11=7+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#12=1+4+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#13=6+2+1+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#14=1+2+7+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#15=6+2+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#16=6+2+1+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#17=11+6#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#18=11+6+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#19=11+6+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#20=11+6+1+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#21=11+1+2+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#22=6+11+1+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#23=11+1+4+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#24=6+11+2+1+4#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#25=11+1+2+4+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#26=11+6+2+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#27=11+6+1+2+7#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1∼27(小弟測試目前極值)#ed_op#/DIV#ed_cl#

[數學]郵票問題

發表 ☆ ~ 幻 星 ~ ☆ 於 星期六 二月 11, 2006 10:57 pm

如果有一組2*2的郵票
上面的票額可自訂(可以4張不同票額)
若要使這組郵票能支付1~N的票額
且由票不得分開
N最高為多少?
如果每組改成2*3呢?

範例:
13
42
上面就可為一組
1=1
2=2
3=3
4=4
5=2+3
6=2+4
7=1+2+4 (不可為4+3,因為這兩張是分開的)
8=1+3+4
9=4+3+2
10=1+2+3+4

所以這駔郵票可支付1~10的票額