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Copy pathLongestCommonSubsequence.java
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64 lines (54 loc) · 1.92 KB
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package DynamicProgramming;
class LongestCommonSubsequence {
public static String getLCS(String str1, String str2) {
// At least one string is null
if (str1 == null || str2 == null) return null;
// At least one string is empty
if (str1.length() == 0 || str2.length() == 0) return "";
String[] arr1 = str1.split("");
String[] arr2 = str2.split("");
// lcsMatrix[i][j] = LCS of first i elements of arr1 and first j characters of arr2
int[][] lcsMatrix = new int[arr1.length + 1][arr2.length + 1];
for (int i = 0; i < arr1.length + 1; i++) lcsMatrix[i][0] = 0;
for (int j = 1; j < arr2.length + 1; j++) lcsMatrix[0][j] = 0;
for (int i = 1; i < arr1.length + 1; i++) {
for (int j = 1; j < arr2.length + 1; j++) {
if (arr1[i - 1].equals(arr2[j - 1])) {
lcsMatrix[i][j] = lcsMatrix[i - 1][j - 1] + 1;
} else {
lcsMatrix[i][j] =
lcsMatrix[i - 1][j] > lcsMatrix[i][j - 1] ? lcsMatrix[i - 1][j] : lcsMatrix[i][j - 1];
}
}
}
return lcsString(str1, str2, lcsMatrix);
}
public static String lcsString(String str1, String str2, int[][] lcsMatrix) {
StringBuilder lcs = new StringBuilder();
int i = str1.length(), j = str2.length();
while (i > 0 && j > 0) {
if (str1.charAt(i - 1) == str2.charAt(j - 1)) {
lcs.append(str1.charAt(i - 1));
i--;
j--;
} else if (lcsMatrix[i - 1][j] > lcsMatrix[i][j - 1]) {
i--;
} else {
j--;
}
}
return lcs.reverse().toString();
}
public static void main(String[] args) {
String str1 = "DSGSHSRGSRHTRD";
String str2 = "DATRGAGTSHS";
String lcs = getLCS(str1, str2);
// Print LCS
if (lcs != null) {
System.out.println("String 1: " + str1);
System.out.println("String 2: " + str2);
System.out.println("LCS: " + lcs);
System.out.println("LCS length: " + lcs.length());
}
}
}