class Solution {
    // idea: Find the length of LCS and remove the length from original string
    
    public int minDeletions(String s) {
        String s2 = new StringBuilder(s).reverse().toString();
        int n = s.length();
        int m = s2.length();
        
        int[][] t = new int[n+1][m+1];
        for(int i=0; i<n+1; i++)
        {
            for(int j=0; j<m+1; j++)
            {
                if(i == 0 || j == 0)
                    t[i][j] = 0;
            }
        }
        
        for(int i=1; i<n+1; i++)
        {
            for(int j=1; j<m+1; j++)
            {
                if(s.charAt(i-1) == s2.charAt(j-1))
                    t[i][j] = 1 + t[i-1][j-1];
                else
                    t[i][j] = Math.max(t[i-1][j], t[i][j-1]);
            }
        }
        
        int lcsLength = t[n][m];
        return (n-lcsLength);
    }
}


// aebcbda
// adbcbea

// abcba -> lcs

// aba
// aba