{"raw_statement":[{"iden":"problem statement","content":"There is a set $A = { a_1, a_2, \\ldots, a_N }$ consisting of $N$ positive integers. Taro and Jiro will play the following game against each other.\nInitially, we have a pile consisting of $K$ stones. The two players perform the following operation alternately, starting from Taro:\n\n*   Choose an element $x$ in $A$, and remove exactly $x$ stones from the pile.\n\nA player loses when he becomes unable to play. Assuming that both players play optimally, determine the winner."},{"iden":"constraints","content":"*   All values in input are integers.\n*   $1 \\leq N \\leq 100$\n*   $1 \\leq K \\leq 10^5$\n*   $1 \\leq a_1 < a_2 < \\cdots < a_N \\leq K$"},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $K$\n$a_1$ $a_2$ $\\ldots$ $a_N$"},{"iden":"sample input 1","content":"2 4\n2 3"},{"iden":"sample output 1","content":"First\n\nIf Taro removes three stones, Jiro cannot make a move. Thus, Taro wins."},{"iden":"sample input 2","content":"2 5\n2 3"},{"iden":"sample output 2","content":"Second\n\nWhatever Taro does in his operation, Jiro wins, as follows:\n\n*   If Taro removes two stones, Jiro can remove three stones to make Taro unable to make a move.\n*   If Taro removes three stones, Jiro can remove two stones to make Taro unable to make a move."},{"iden":"sample input 3","content":"2 7\n2 3"},{"iden":"sample output 3","content":"First\n\nTaro should remove two stones. Then, whatever Jiro does in his operation, Taro wins, as follows:\n\n*   If Jiro removes two stones, Taro can remove three stones to make Jiro unable to make a move.\n*   If Jiro removes three stones, Taro can remove two stones to make Jiro unable to make a move."},{"iden":"sample input 4","content":"3 20\n1 2 3"},{"iden":"sample output 4","content":"Second"},{"iden":"sample input 5","content":"3 21\n1 2 3"},{"iden":"sample output 5","content":"First"},{"iden":"sample input 6","content":"1 100000\n1"},{"iden":"sample output 6","content":"Second"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}