Distinct Subsequences
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public class Solution { public int numDistinct(String S, String T) { // Start typing your Java solution below // DO NOT write main() function if(S==null||T==null)return 0; int lent = T.length(); int lens = S.length(); if(lens<lent)return 0; int[][] dp = new int[lent][lens]; dp[0][0] = S.charAt(0)==T.charAt(0)?1:0; for(int j = 1; j < lens; j++){ if(S.charAt(j)==T.charAt(0))dp[0][j] = dp[0][j-1]+1; else dp[0][j] = dp[0][j-1]; } for(int i = 1; i < lent; i++) dp[i][0] = 0; for(int i = 1; i < lent; i++) for(int j = 1; j < lens; j++){ if(S.charAt(j)==T.charAt(i))dp[i][j] = dp[i-1][j-1] + dp[i][j-1]; else dp[i][j] = dp[i][j-1]; } return dp[lent-1][lens-1]; }}