class LCSFinder {

    public int longestCommonSubsequence(String x, String y) {
        int n = x.length();
        int m = y.length();

        int[][] dp = new int[n + 1][m + 1];

        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= m; j++) {
                
                if (Character.toLowerCase(x.charAt(i - 1)) == Character.toLowerCase(y.charAt(j - 1))) {
                    dp[i][j] = dp[i - 1][j - 1] + 1;
                } else {
                    dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);
                }
            }
        }

        return dp[n][m];
    }
}