{"raw_statement":[{"iden":"problem statement","content":"In some other world, today is Christmas.\nMr. Takaha decides to make a multi-dimensional burger in his party. A _level-$L$ burger_ ($L$ is an integer greater than or equal to $0$) is the following thing:\n\n*   A level-$0$ burger is a patty.\n*   A level-$L$ burger $(L \\geq 1)$ is a bun, a level-$(L-1)$ burger, a patty, another level-$(L-1)$ burger and another bun, stacked vertically in this order from the bottom.\n\nFor example, a level-$1$ burger and a level-$2$ burger look like `BPPPB` and `BBPPPBPBPPPBB` (rotated $90$ degrees), where `B` and `P` stands for a bun and a patty.\nThe burger Mr. Takaha will make is a level-$N$ burger. Lunlun the Dachshund will eat $X$ layers from the bottom of this burger (a layer is a patty or a bun). How many patties will she eat?"},{"iden":"constraints","content":"*   $1 \\leq N \\leq 50$\n*   $1 \\leq X \\leq ($ the total number of layers in a level-$N$ burger $)$\n*   $N$ and $X$ are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $X$"},{"iden":"sample input 1","content":"2 7"},{"iden":"sample output 1","content":"4\n\nThere are $4$ patties in the bottom-most $7$ layers of a level-$2$ burger (`BBPPPBPBPPPBB`)."},{"iden":"sample input 2","content":"1 1"},{"iden":"sample output 2","content":"0\n\nThe bottom-most layer of a level-$1$ burger is a bun."},{"iden":"sample input 3","content":"50 4321098765432109"},{"iden":"sample output 3","content":"2160549382716056\n\nA level-$50$ burger is rather thick, to the extent that the number of its layers does not fit into a $32$\\-bit integer."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}