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Java/DynamicProgramming/LongestCommonSubsequence.java at master · iDev-git/Java · GitHub
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LongestCommonSubsequence.java
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64 lines (54 loc) · 1.92 KB
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Java
/
DynamicProgramming
/
LongestCommonSubsequence.java
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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
());
}
}
}
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