Given a string s, partition s such that every substring of the partition is a palindrome.

Return all possible palindrome partitioning of s.

For example, given s = "aab",
Return

[
    ["aa","b"],
    ["a","a","b"]
  ]
解题思路一:

将s分为左右两个部分,分别求出两边的partition,然后粘一块即可,JAVA实现如下:

	static public List<List<String>> partition(String s) {
Set<List<String>> set = new HashSet<List<String>>();
if (isPalindrome(s)) {
List<String> alist = new ArrayList<String>();
alist.add(s);
set.add(alist);
}
for (int i = 1; i < s.length(); i++) {
List<List<String>> left = partition(s.substring(0, i));
List<List<String>> right = partition(s.substring(i, s.length()));
for (List<String> aLeft : left)
for (List<String> aRight : right) {
List<String> alist = new ArrayList<String>(aLeft);
alist.addAll(aRight);
set.add(new ArrayList<String>(alist));
}
}
return new ArrayList<List<String>>(set);
} static boolean isPalindrome(String s) {
int left = 0;
int right = s.length() - 1;
while (left < right)
if (s.charAt(left++) != s.charAt(right--))
return false;
return true;
}

结果TLE

解题思路二:

修改下思路一,从左边入手,如果左边是Palindrome,对右边求一个partition,这样求得的结果也不会重复,这样就可以AC了,JAVA实现如下:

	static public List<List<String>> partition(String s) {
ArrayList<List<String>> list = new ArrayList<List<String>>();
if (isPalindrome(s)) {
List<String> alist = new ArrayList<String>();
alist.add(s);
list.add(alist);
}
for (int i = 1; i < s.length(); i++)
if (isPalindrome(s.substring(0, i))) {
List<String> aLeft = new ArrayList<String>();
aLeft.add(s.substring(0, i));
List<List<String>> right = partition(s.substring(i, s.length()));
for (List<String> aRight : right) {
List<String> alist = new ArrayList<String>(aLeft);
alist.addAll(aRight);
list.add(new ArrayList<String>(alist));
}
}
return list;
} static boolean isPalindrome(String s) {
int left = 0;
int right = s.length() - 1;
while (left < right)
if (s.charAt(left++) != s.charAt(right--))
return false;
return true;
}

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