Create add-edges-to-make-degrees-of-all-nodes-even.py

Author: kamyu104

Python/add-edges-to-make-degrees-of-all-nodes-even.py

@@ -0,0 +1,25 @@
+# Time:  O(n)
+# Space: O(n)
+
+# graph
+class Solution(object):
+    def isPossible(self, n, edges):
+        """
+        :type n: int
+        :type edges: List[List[int]]
+        :rtype: bool
+        """
+        adj = [set() for _ in xrange(n)]
+        for u, v in edges:
+            adj[u-1].add(v-1)
+            adj[v-1].add(u-1)
+        odds = [u for u in xrange(n) if len(adj[u])%2]
+        if len(odds) == 0:
+            return True
+        if len(odds) == 2:
+            return any(odds[0] not in adj[u] and odds[1] not in adj[u] for u in range(n))
+        if len(odds) == 4:
+            return ((odds[0] not in adj[odds[1]] and odds[2] not in adj[odds[3]]) or
+                    (odds[0] not in adj[odds[2]] and odds[1] not in adj[odds[3]]) or
+                    (odds[0] not in adj[odds[3]] and odds[1] not in adj[odds[2]]))
+        return False