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authorPaul Jungeblut <paul.jungeblut@gmail.com>2017-06-10 23:47:37 +0200
committerPaul Jungeblut <paul.jungeblut@gmail.com>2017-06-10 23:47:37 +0200
commit362b09086a49bed54182fc177908ba23c1757660 (patch)
tree2be6103b7f9cec1e942fbe41f8be5357938d86ad
parent60b546793251df5358f118d3904b58fa0c3321f8 (diff)
Adding code to find first unused integer in set.
-rw-r--r--datastructures/datastructures.tex3
-rw-r--r--datastructures/firstUnused.cpp12
2 files changed, 15 insertions, 0 deletions
diff --git a/datastructures/datastructures.tex b/datastructures/datastructures.tex
index 7659a7e..a2c5ff6 100644
--- a/datastructures/datastructures.tex
+++ b/datastructures/datastructures.tex
@@ -23,3 +23,6 @@ Dazu: Offset in den inneren Knoten des Baums speichern.
\subsection{Treap (Cartesian Tree)}
\lstinputlisting{datastructures/treap.cpp}
+
+\subsection{Erste unbenutzte natürliche Zahl}
+\lstinputlisting{datastructures/firstUnused.cpp}
diff --git a/datastructures/firstUnused.cpp b/datastructures/firstUnused.cpp
new file mode 100644
index 0000000..141eb00
--- /dev/null
+++ b/datastructures/firstUnused.cpp
@@ -0,0 +1,12 @@
+// Erste natürliche Zahl nicht im set used.
+set<int> used;
+int unusedCounter = 1;
+
+int getFirstUnused() { // Laufzeit: O(log n) amortisiert.
+ auto it = used.lower_bound(unusedCounter);
+ while (it != used.end() && *it == unusedCounter) {
+ it++;
+ unusedCounter++;
+ }
+ return unusedCounter++; // Evtl. neuen Wert noch hinzufügen.
+}