package codingInterview;

public class DistinctSebsequenceTotal {

public static void main(String[] args) {

// TODO Auto-generated method stub

String s = "rabbbit";

String t = "rabit";

int total = distinctSubsequenceTotal(s, t);

System.out.println(total);

}

// dynamic programming : pay attention to the changing condition

private static int distinctSubsequenceTotal(String s, String t) {

// TODO Auto-generated method stub

int[][] table = new int[s.length() + 1][t.length() + 1];

for (int i = 0; i < s.length(); i++) {

table[i][0] = 1;

}

for (int i = 1; i < s.length() + 1; i++) {

for (int j = 1; j < t.length() + 1; j++) {

if (s.charAt(i - 1) == t.charAt(j - 1)) {

table[i][j] += table[i - 1][j - 1] + table[i - 1][j];

} else {

table[i][j] += table[i - 1][j];

}

}

}

printTable(table, s.length() + 1, t.length() + 1);

return table[s.length()][t.length()];

}

private static void printTable(int[][] table, int m, int n) {

// TODO Auto-generated method stub

for (int i = 0; i < m; i++) {

System.out.println();

for (int j = 0; j < n; j++) {

System.out.print(table[i][j]);

}

}

System.out.println();

}

}