Day55(392, 115)
392. Is Subsequence
Given two strings s and t, return true if s is a subsequence of t, or false otherwise.
A subsequence of a string is a new string that is formed from the original string by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (i.e., "ace" is a subsequence of "abcde" while "aec" is not).
Example 1:
Input: s = “abc”, t = “ahbgdc”
Output: true
Example 2:
Input: s = “axc”, t = “ahbgdc”
Output: false
class Solution {
public boolean isSubsequence(String s, String t) {
int length1 = s.length(); int length2 = t.length();
int[][] dp = new int[length1+1][length2+1];
for(int i = 1; i <= length1; i++){
for(int j = 1; j <= length2; j++){
if(s.charAt(i-1) == t.charAt(j-1)){
dp[i][j] = dp[i-1][j-1] + 1;
}else{
dp[i][j] = dp[i][j-1];
}
}
}
return dp[length1][length2] == length1;
}
}
115. Distinct Subsequences
Given two strings s and t, return the number of distinct
subsequences
of s which equals t.
The test cases are generated so that the answer fits on a 32-bit signed integer.
Example 1:
Input: s = “rabbbit”, t = “rabbit”
Output: 3
Explanation:
As shown below, there are 3 ways you can generate “rabbit” from s.
**rabb**b**it**
**ra**b**bbit**
**rab**b**bit**
Example 2:
Input: s = “babgbag”, t = “bag”
Output: 5
Explanation:
As shown below, there are 5 ways you can generate “bag” from s.
**ba**b**g**bag
**ba**bgba**g**
**b**abgb**ag**
ba**b**gb**ag**
babg**bag**
class Solution {
public int numDistinct(String s, String t) {
int[][] dp = new int[s.length() + 1][t.length() + 1];
for (int i = 0; i < s.length() + 1; i++) {
dp[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)) {
dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j];
}else{
dp[i][j] = dp[i - 1][j];
}
}
}
return dp[s.length()][t.length()];
}
}