Hard
Given two strings str1
and str2
, return the shortest string that has both str1
and str2
as subsequences. If there are multiple valid strings, return any of them.
A string s
is a subsequence of string t
if deleting some number of characters from t
(possibly 0
) results in the string s
.
Example 1:
Input: str1 = “abac”, str2 = “cab”
Output: “cabac”
Explanation:
str1 = “abac” is a subsequence of “cabac” because we can delete the first “c”.
str2 = “cab” is a subsequence of “cabac” because we can delete the last “ac”.
The answer provided is the shortest such string that satisfies these properties.
Example 2:
Input: str1 = “aaaaaaaa”, str2 = “aaaaaaaa”
Output: “aaaaaaaa”
Constraints:
1 <= str1.length, str2.length <= 1000
str1
and str2
consist of lowercase English letters.class Solution {
fun shortestCommonSupersequence(str1: String, str2: String): String {
val m = str1.length
val n = str2.length
val dp = Array(m + 1) { IntArray(n + 1) }
for (i in 0..m) {
for (j in 0..n) {
if (i == 0) {
dp[i][j] = j
} else if (j == 0) {
dp[i][j] = i
} else if (str1[i - 1] == str2[j - 1]) {
dp[i][j] = 1 + dp[i - 1][j - 1]
} else {
dp[i][j] = 1 + Math.min(dp[i - 1][j], dp[i][j - 1])
}
}
}
// Length of the ShortestSuperSequence
var l = dp[m][n]
val arr = CharArray(l)
var i = m
var j = n
while (i > 0 && j > 0) {
/* If current character in str1 and str2 are same, then
current character is part of shortest supersequence */
if (str1[i - 1] == str2[j - 1]) {
arr[--l] = str1[i - 1]
i--
j--
} else if (dp[i - 1][j] < dp[i][j - 1]) {
arr[--l] = str1[i - 1]
i--
} else {
arr[--l] = str2[j - 1]
j--
}
}
while (i > 0) {
arr[--l] = str1[i - 1]
i--
}
while (j > 0) {
arr[--l] = str2[j - 1]
j--
}
return String(arr)
}
}