''' Determine chain of words using complete set of input Status: Accepted ''' from sys import setrecursionlimit from string import ascii_lowercase setrecursionlimit(2048) CATENYMS, MATRIX = None, None LEN_WORDS = 0 ############################################################################### def start_end(in_degrees, out_degrees): """Determine the start and end nodes of a euler walk""" valid = True start, end = None, None for letter in ascii_lowercase: if in_degrees[letter] - out_degrees[letter] == 1: valid &= (end is None) end = letter elif out_degrees[letter] - in_degrees[letter] == 1: valid &= (start is None) start = letter elif out_degrees[letter] != in_degrees[letter]: valid = False if valid: if start: return start, end for letter in ascii_lowercase: if in_degrees[letter]: return letter, letter return None, None ############################################################################### def dfs(location): """Determine longest possible path searching in lexicographic order""" global LEN_WORDS, MATRIX, CATENYMS if len(CATENYMS) == LEN_WORDS: return True for word in sorted(set(MATRIX[location])): MATRIX[location].remove(word) CATENYMS.append(word) if dfs(word[-1]): return True CATENYMS.pop() MATRIX[location].append(word) return False ############################################################################### def euler_walk(words): """Return lexicographically least traversal of all words""" global LEN_WORDS, MATRIX, CATENYMS CATENYMS = [] MATRIX, in_degree, out_degree = {}, {}, {} for first_letter in ascii_lowercase: out_degree[first_letter] = 0 in_degree[first_letter] = 0 MATRIX[first_letter] = [] for word in words: in_degree[word[-1]] += 1 out_degree[word[0]] += 1 MATRIX[word[0]].append(word) start, end = start_end(in_degree, out_degree) if start and end: LEN_WORDS = len(words) if not dfs(start): CATENYMS = [] ############################################################################### def main(): """Read input and print output for euler walk with words as edges""" global CATENYMS for _ in range(int(input().strip())): words = [] for _ in range(int(input().strip())): words.append(input().strip()) euler_walk(words) if CATENYMS: print('.'.join(CATENYMS)) else: print('***') ############################################################################### if __name__ == '__main__': main()