53. Distinct Subsequences
Count the number of longest common subsequence
Given two strings s
and t
, return the number of distinct subsequences of s
which equals t
.
A string's subsequence is a new string formed from the original string by deleting some (can be none) of the characters without disturbing the remaining characters' relative positions. (i.e., "ACE"
is a subsequence of "ABCDE"
while "AEC"
is not).
It is guaranteed 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.
rabbbit
rabbbit
rabbbit
Example 2:
Input: s = "babgbag", t = "bag"
Output: 5
Explanation:
As shown below, there are 5 ways you can generate "bag" from S.
babgbag
babgbag
babgbag
babgbag
babgbag
Solution: (Dp)
class Solution
{
public:
int numDistinct(string s, string t)
{
int n = s.length();
int m = t.length();
vector<vector<long long unsigned>> dp(n + 1, vector<long long unsigned>(m + 1, 0));
for (int i = 0; i <= n; i++)
{
dp[i][0] = 1;
}
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= m; j++)
{
if (s[i - 1] == t[j - 1])
{
dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j];
}
else
{
dp[i][j] = dp[i - 1][j];
}
}
}
return dp[n][m];
}
};
Last updated
Was this helpful?