from sys import stdin, stdout n, m = [int(x) for x in stdin.readline().split()] table = [] for _ in range(n): table.append(list(stdin.readline().strip())) k = int(stdin.readline()) moves = stdin.readline().strip() def reduce_moves(moves): def move_type(c): if c in ["L", "P"]: return 0 else: return 1 res = [] i = 0 while i < len(moves): c = moves[i] if len(res) == 0: res.append(c) i += 1 elif len(res) == 1: if move_type(c) == move_type(res[-1]): res[-1] = c else: res.append(c) i += 1 else: if move_type(c) == move_type(res[-1]): res.pop() else: if c != res[-2]: res.append(c) i += 1 return res def apply_move(directon, table): n, m = len(table), len(table[0]) if directon == "G": nonempty_columns = [[] for _ in range(m)] for row in table: for i, c in enumerate(row): if c != ".": nonempty_columns[i].append(c) full_columns = [ column + ['.'] * (n - len(column)) for column in nonempty_columns ] res = [[] for _ in range(n)] for col in full_columns: for i, c in enumerate(col): res[i].append(c) if directon == "D": nonempty_columns = [[] for _ in range(m)] for row in table: for i, c in enumerate(row): if c != ".": nonempty_columns[i].append(c) full_columns = [ ['.'] * (n - len(column)) + column for column in nonempty_columns ] res = [[] for _ in range(n)] for col in full_columns: for i, c in enumerate(col): res[i].append(c) if directon == "L": nonempty = [ [c for c in row if c !="."] for row in table ] res = [ row + ['.'] * (m - len(row)) for row in nonempty ] if directon == "P": nonempty = [ [c for c in row if c !="."] for row in table ] res = [ ['.'] * (m - len(row)) + row for row in nonempty ] return res def enumerator(): i = 0 while True: yield i i += 1 def get_number_table(table): enum = enumerator() res = [] for row in table: res.append([c if c == "." else next(enum) for c in row]) return res def read_permutation(start_table, end_table): perm_dict = {} for start_row, end_row in zip(start_table, end_table): for start_c, end_c in zip(start_row, end_row): if start_c != ".": perm_dict[start_c] = end_c perm_list = [-1] * len(perm_dict) for k, v in perm_dict.items(): perm_list[k] = v return perm_list def to_cycles(perm): perm = perm.copy() res = [] for i in range(len(perm)): if perm[i] == 0: continue # already visited cycle = [i] j = i while perm[j] != i: cycle.append(perm[j]) next_j = perm[j] perm[j] = 0 j = next_j perm[j] = 0 res.append(cycle) return res def from_cycles(cycles): res = [0] * sum(len(c) for c in cycles) for cycle in cycles: for i in range(len(cycle)): res[cycle[i]] = cycle[(i+1)%len(cycle)] return res def compose_permutation(k, perm): cycles = to_cycles(perm) composed_cycles = [] for cycle in cycles: n = len(cycle) cycle_k = k % n cycle_start = seen = 0 composed_cycle = [] i = cycle_k while seen < n: if i != cycle_start: composed_cycle.append(cycle[i]) i += cycle_k i %= n seen += 1 print(composed_cycle) else: composed_cycle.append(cycle[i]) seen += 1 composed_cycles.append(composed_cycle) cycle_start += 1 i = (cycle_start + cycle_k) % n composed_cycle = [] return from_cycles(composed_cycles) def apply_permutation(perm, numbered_table, table): color_dict = [] for number_row, color_row in zip(numbered_table, table): for number, color in zip(number_row, color_row): if number != ".": color_dict[number] = color res = [] for number_row in numbered_table: res.append([color_dict[perm[c]] if c !="." else "." for c in number_row]) return res moves = reduce_moves(moves) manual_start = 2 + (len(moves)+2)%4 if len(moves) <= manual_start: for c in moves: table = apply_move(c, table) res = table else: for c in moves[:manual_start]: table = apply_move(c, table) numbered_table = get_number_table(table) permutation_table = numbered_table.copy() for c in moves[manual_part:manual_part+4]: permutation_table = apply_move(c, permutation_table) one_lap = read_permutation(numbered_table, permutation_table) assert (len(moves) - manual_part) % 4 == 0 final_permutation = compose_permutation((len(moves) - manual_part)//4, one_lap) res = apply_permutation(final_permutation, numbered_table, table) for row in table: stdout.write(" ".join(row)+"\n")
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 | from sys import stdin, stdout n, m = [int(x) for x in stdin.readline().split()] table = [] for _ in range(n): table.append(list(stdin.readline().strip())) k = int(stdin.readline()) moves = stdin.readline().strip() def reduce_moves(moves): def move_type(c): if c in ["L", "P"]: return 0 else: return 1 res = [] i = 0 while i < len(moves): c = moves[i] if len(res) == 0: res.append(c) i += 1 elif len(res) == 1: if move_type(c) == move_type(res[-1]): res[-1] = c else: res.append(c) i += 1 else: if move_type(c) == move_type(res[-1]): res.pop() else: if c != res[-2]: res.append(c) i += 1 return res def apply_move(directon, table): n, m = len(table), len(table[0]) if directon == "G": nonempty_columns = [[] for _ in range(m)] for row in table: for i, c in enumerate(row): if c != ".": nonempty_columns[i].append(c) full_columns = [ column + ['.'] * (n - len(column)) for column in nonempty_columns ] res = [[] for _ in range(n)] for col in full_columns: for i, c in enumerate(col): res[i].append(c) if directon == "D": nonempty_columns = [[] for _ in range(m)] for row in table: for i, c in enumerate(row): if c != ".": nonempty_columns[i].append(c) full_columns = [ ['.'] * (n - len(column)) + column for column in nonempty_columns ] res = [[] for _ in range(n)] for col in full_columns: for i, c in enumerate(col): res[i].append(c) if directon == "L": nonempty = [ [c for c in row if c !="."] for row in table ] res = [ row + ['.'] * (m - len(row)) for row in nonempty ] if directon == "P": nonempty = [ [c for c in row if c !="."] for row in table ] res = [ ['.'] * (m - len(row)) + row for row in nonempty ] return res def enumerator(): i = 0 while True: yield i i += 1 def get_number_table(table): enum = enumerator() res = [] for row in table: res.append([c if c == "." else next(enum) for c in row]) return res def read_permutation(start_table, end_table): perm_dict = {} for start_row, end_row in zip(start_table, end_table): for start_c, end_c in zip(start_row, end_row): if start_c != ".": perm_dict[start_c] = end_c perm_list = [-1] * len(perm_dict) for k, v in perm_dict.items(): perm_list[k] = v return perm_list def to_cycles(perm): perm = perm.copy() res = [] for i in range(len(perm)): if perm[i] == 0: continue # already visited cycle = [i] j = i while perm[j] != i: cycle.append(perm[j]) next_j = perm[j] perm[j] = 0 j = next_j perm[j] = 0 res.append(cycle) return res def from_cycles(cycles): res = [0] * sum(len(c) for c in cycles) for cycle in cycles: for i in range(len(cycle)): res[cycle[i]] = cycle[(i+1)%len(cycle)] return res def compose_permutation(k, perm): cycles = to_cycles(perm) composed_cycles = [] for cycle in cycles: n = len(cycle) cycle_k = k % n cycle_start = seen = 0 composed_cycle = [] i = cycle_k while seen < n: if i != cycle_start: composed_cycle.append(cycle[i]) i += cycle_k i %= n seen += 1 print(composed_cycle) else: composed_cycle.append(cycle[i]) seen += 1 composed_cycles.append(composed_cycle) cycle_start += 1 i = (cycle_start + cycle_k) % n composed_cycle = [] return from_cycles(composed_cycles) def apply_permutation(perm, numbered_table, table): color_dict = [] for number_row, color_row in zip(numbered_table, table): for number, color in zip(number_row, color_row): if number != ".": color_dict[number] = color res = [] for number_row in numbered_table: res.append([color_dict[perm[c]] if c !="." else "." for c in number_row]) return res moves = reduce_moves(moves) manual_start = 2 + (len(moves)+2)%4 if len(moves) <= manual_start: for c in moves: table = apply_move(c, table) res = table else: for c in moves[:manual_start]: table = apply_move(c, table) numbered_table = get_number_table(table) permutation_table = numbered_table.copy() for c in moves[manual_part:manual_part+4]: permutation_table = apply_move(c, permutation_table) one_lap = read_permutation(numbered_table, permutation_table) assert (len(moves) - manual_part) % 4 == 0 final_permutation = compose_permutation((len(moves) - manual_part)//4, one_lap) res = apply_permutation(final_permutation, numbered_table, table) for row in table: stdout.write(" ".join(row)+"\n") |