Scramble String
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原题:
Given a string s1, we may represent it as a binary tree by partitioning it to two non-empty substrings recursively.
Below is one possible representation of s1 = “great”:
great
/ \
gr eat
/ \ / \
g r e at
/ \
a t
To scramble the string, we may choose any non-leaf node and swap its two children.
For example, if we choose the node “gr” and swap its two children, it produces a scrambled string “rgeat”.
rgeat
/ \
rg eat
/ \ / \
r g e at
/ \
a t
We say that “rgeat” is a scrambled string of “great”.
Similarly, if we continue to swap the children of nodes “eat” and “at”, it produces a scrambled string “rgtae”.
rgtae
/ \
rg tae
/ \ / \
r g ta e
/ \
t a
We say that “rgtae” is a scrambled string of “great”.
Given two strings s1 and s2 of the same length, determine if s2 is a scrambled string of s1.
解题:
假设字符串只包含小写字母,如果包含其他字符的话也是一样的道理。假设字符串的长度是len,那么可以构建树,但是第一次怎么把单词分成左右子树呢?那么len长度的字符串可以“切”len-1刀,每一“刀”的位置不一样,但都是一分为二,只要有一种满足目标字符串,就可以认为目标字符串是由源字符串变换而来的。递归处理这个过程比较简单。可以AC的C++代码如下:
bool isScramble(string s1, string s2) { if(s1==s2) return true; int len = s1.length(); int count[26] = {0}; for(int i=0; i<len; i++) { count[s1[i]-'a']++; count[s2[i]-'a']--; } for(int i=0; i<26; i++) { if(count[i]!=0) return false; } for(int i=1; i<=len-1; i++) { if( isScramble(s1.substr(0,i), s2.substr(0,i)) && isScramble(s1.substr(i), s2.substr(i))) return true; if( isScramble(s1.substr(0,i), s2.substr(len-i)) && isScramble(s1.substr(i), s2.substr(0,len-i))) return true; } return false; }
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