设 S 是一个长度为 n 的非空字符串，其中的字符各不相同，则其互异的非平凡子串(非空且不同于 S 本身〉的个数（41）。
- A.2n-l
- B.n2
- C.n(n+l)/2
- D.(n+2)(n-l)/2
正确答案及解析
正确答案
解析
以字符串“abcde”为例说明，其长度为1的子串为“a”、“b”、“c”、“d”、“e”，共5个；长度为2的子串为“ab”、“bc”、“cd”、“de”，共4个；长度为3的子串为“abc”、“bcd”、“cde”，共3个；长度为4的子串为“abcd”、“bcde”，共2个；长度为5的子串为“abcde”，共1个；空串是任何字符串的子串。本题中，空串和等于自身的串不算，子串数目共14个（5+4+3+2）。
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