class Solution {
public:
    vector<vector<string>> partition(string s) {
        int n = s.size();
        vector<vector<string>> res;
        vector<string> out;
        vector<vector<bool>> dp(n, vector<bool>(n));
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j <= i; ++j) {
                if (s[i] == s[j] && (i - j <= 2 || dp[j + 1][i - 1])) {
                    dp[j][i] = true;
                }
            }
        }
        helper(s, 0, dp, out, res);
        return res;
    }
    void helper(string s, int start, vector<vector<bool>>& dp, vector<string>& out, vector<vector<string>>& res) {
        if (start == s.size()) { res.push_back(out); return; }
        for (int i = start; i < s.size(); ++i) {
            if (!dp[start][i]) continue;
            out.push_back(s.substr(start, i - start + 1));
            helper(s, i + 1, dp, out, res);
            out.pop_back();
        }
    }
};
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