From 3fc536c3fcd187e983a52596ffd92ce6f4b83acd Mon Sep 17 00:00:00 2001
From: Queue-ri <qriositylog@gmail.com>
Date: Sun, 27 Feb 2022 12:38:51 +0900
Subject: [PATCH] DICTIONARY 180ms

---
 DEF/DICTIONARY/Queue-ri.py | 45 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 45 insertions(+)
 create mode 100644 DEF/DICTIONARY/Queue-ri.py

diff --git a/DEF/DICTIONARY/Queue-ri.py b/DEF/DICTIONARY/Queue-ri.py
new file mode 100644
index 0000000..3b7bcbd
--- /dev/null
+++ b/DEF/DICTIONARY/Queue-ri.py
@@ -0,0 +1,45 @@
+import sys
+from collections import defaultdict
+input = sys.stdin.readline
+
+def main():
+    adj = None
+    visited = None
+    order = None
+
+    def check(order):
+        order = order[::-1]
+        for i in range(1, len(order)):
+            j = i-1
+            if adj[order[i]][order[j]]: return False
+        return order
+
+    def dfs(c):
+        visited[c] = 1
+        for e in adj[c]:
+            if not visited[e]:
+                dfs(e)
+        order.append(c)
+
+    for TC in range(int(input())):
+        adj = defaultdict(lambda: defaultdict(int))
+        N = int(input())
+        words = []
+        for i in range(N): words.append(input().rstrip())
+        for i in range(1, N): # adj initialization
+            j = i-1
+            L = min(len(words[j]), len(words[i]))
+            for k in range(L):
+                if words[j][k] != words[i][k]:
+                    adj[words[j][k]][words[i][k]] = 1
+                    break # following characters are meaningless
+
+        visited = defaultdict(int)
+        order = []
+        for c in reversed('abcdefghijklmnopqrstuvwxyz'):
+            if not visited[c]: dfs(c)
+        order = check(order)
+        print(''.join(order) if order else 'INVALID HYPOTHESIS')
+
+if __name__ == '__main__':
+    main()
\ No newline at end of file