[其他] Zeckendorf's Theorem?

[magiclass (課堂上玩數學)]

http://tinyurl.com/9qodskd

Zeckendorf’s theorem says that every positive integer can be
represented as the sum of non-consecutive Fibonacci integers
and that such a representation is unique.

For example:
100 = 89 + 8 + 3
10,000 = 6765 + 2584 + 610 +34 + 5 + 2


不過像8這個數，似乎就沒辦法用不連續的費伯納西數表示？

8=1+2+5=3+5

1,2或3,5都算連續的費伯納西數吧。

還是我的解讀有誤？

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※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 118.168.179.103
→ FAlin       :"1" 1 "2" 3 "5"   1有兩個
推 APM99       :1+2+5  , 1,2,5不就不連續了嗎
推 yclinpa     :8=8, 就一項啊
→ suhorng     :8就8  通常在說這個時1不會考慮有兩個
→ suhorng     :因為 Uniqueness 的關係(注意他Uniqueness的敘述)