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-rw-r--r--string/longestCommonSubsequence.cpp17
1 files changed, 17 insertions, 0 deletions
diff --git a/string/longestCommonSubsequence.cpp b/string/longestCommonSubsequence.cpp
new file mode 100644
index 0000000..7bcf851
--- /dev/null
+++ b/string/longestCommonSubsequence.cpp
@@ -0,0 +1,17 @@
+// Laufzeit: O(|a|*|b|)
+string lcss(string &a, string &b) {
+ int m[a.length() + 1][b.length() + 1], x=0, y=0;
+ memset(m, 0, sizeof(m));
+ for(int y = a.length() - 1; y >= 0; y--) {
+ for(int x = b.length() - 1; x >= 0; x--) {
+ if(a[y] == b[x]) m[y][x] = 1 + m[y+1][x+1];
+ else m[y][x] = max(m[y+1][x], m[y][x+1]);
+ }} // Für die Länge: return m[0][0];
+ string res;
+ while(x < b.length() && y < a.length()) {
+ if(a[y] == b[x]) res += a[y++], x++;
+ else if(m[y][x+1] > m[y+1][x+1]) x++;
+ else y++;
+ }
+ return res;
+}