.................1....................................................1...1...11.........1.1...1.....
....2................................................1..............................................1
..............1...1................1....1.......................1.........................1..........
...........1..........................1......................................1......................1
..................................1.....1..........2...............1......1.........1................
................1......................1.......................................................1....1
................................1......................................................1.............
.......1......................................................1.......1........................1.....
..........1..............1................1......................................1........2.....1....
....1....1.........1...............1.................................................................
..................1..................................................................................
.1.............................1............................1....1.........1..1......................
......................................................1..............................................
..111.........1.......................1.......1...........1.....................1............1.......
..........................1...............1.......................1....1.............................
........1......................................................1....1................................
.......1.................................1...................................1.........1......1....1.
..1.....2.............................................1........1.............1.................1...1.
................................1......................................1.....1.......................
..........................................1...............................................1..........
.....1......................................1......................................................1.
........1..1............................................................................1............
....................1...1.....1........1..............1.......................1......................
..............................................1...1....1..1........................1............1....
............1.1....................1..............1....1.........1..1..11............................
.....................................1.......1..1........2...........................................
...1.....1................1.1......1....................11.............................1...........1.
...............1.........................................1....1..........1..............2............
........................1....................1.......................................................
..............1...............1...................................1....................1.............
.............1......1......1........1.......1....................................1...................
......................1......................................1.......1.......................1.......
........1...1..1........1...11........................................1..1......................11...
......1....................1................................1........................................
...................................................1.......................1.........................
.......1..........................1..................................................................
.......................1..............11............1.................1............1..............1..
...............1...........................................1.1.......................................
...1............2............11...........1....................................1.1...................
.............................................1.1..................1..................................
............................1....11..................................................................
....1...................................1...................................2..............1.........
.............................................1..1...............1..1.................................
..............................................1..........................1...........................
.........1..1....1..................................1.......1.....................1..................
....1................................................................................................
..1...................1.1.......1......................................1.............................
....1...........1........1.............1........................1...........1........................
................................1...................1..................1.............................
...........1..............1.....2...1.........2...............1............1.........................
.......2.............................................1................................1..............
.......................1........1............................1..........1............................
...............................1....1.......................11...................1...................
..................................1.....................1...................1.....1..................
.........1.1.............................1...........................................................
..........1.....2..........................1..............1...........................1........1.....
......1................................1...1.................................................1......1
...........1........1.1...1...................................1...........1.............1..1.........
..1..........................1.................1................11...................................
........1........1........................1..............................1...........................
...................1......1....................................................1.....................
...........................1...........................................1...2.........................
................................................1....................................................
....1.1........................1..........1......1............................1......................
......................1..............................................................1...............
......................1.............................................................2..1...........1.
......1.........................................................1................................1...
....................1.............................11....1................................1.........1.
.........................................................1..................1...............1........
.............1..1.........1................1.............................1.................1...1.....
.............................1...............1.1........1..1...1.........1.1.......1................1
.................1................1..2...............................................................
.........1.......1..1........................1.....1.................................................
.........1.......1......1............................................1.................1..1..........
..............1..........................1.................1..........11...1.......1.................
..........1..................................................1......1.........1.......1..............
.......................1..............1..........................1.1...11............................
.......................1.............................................................................
................................1...1...............1...1...............11.1...............1.........
...............1..........................1...............................................1.....1....
................................1.1.....1........................................1...................
.........................................1....1.......................1..............................
.......1........1.........1.......................................1.........1...........11...1.......
...................................................................1.....1...........................
........................................1....1......1........1..............2........................
....1.......1............................1.....................................11....................
...............................1...........................1.........1............1..................
..................1...2.......1......................................................1...............
.....................1....11.1...1.......1................1..........................................
...2.........1.......................................................1...............................
...........1...1.1........................11............................................1............
................................................1..1..1...........................................1..
....11..................................2............................1.............1.................
.................................1...........1..1....1....1....1.........1............1..............
................................1...1................................1...............................
....1..........1..............................................1.............1.......1................
.....................1.....................1.....................................................1...
....1.........1.......1............1........................1...........1...................1.1......
.................................1........................1.....11........1................1.........
1.............1.....................1...............................................1.......1........
.........1..1.............................1.....1.......1...................1........2........1......
.....................1............................................1..............1...................
............1..............................1..................................1......................