{"raw_statement":[{"iden":"problem statement","content":"You are given a sequence of non-negative integers $A=(a_1,a_2,\\ldots,a_N)$.\nLet $S$ be the set of non-negative integers that can be the sum of $K$ terms in $A$ (with distinct indices).\nFind the greatest multiple of $D$ in $S$. If there is no multiple of $D$ in $S$, print `-1` instead."},{"iden":"constraints","content":"*   $1 \\leq K \\leq N \\leq 100$\n*   $1 \\leq D \\leq 100$\n*   $0 \\leq a_i \\leq 10^9$\n*   All values in the input are integers."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$N$ $K$ $D$\n$a_1$ $\\ldots$ $a_N$"},{"iden":"sample input 1","content":"4 2 2\n1 2 3 4"},{"iden":"sample output 1","content":"6\n\nHere are all the ways to choose two terms in $A$.\n\n*   Choose $a_1$ and $a_2$, whose sum is $1+2=3$.\n*   Choose $a_1$ and $a_3$, whose sum is $1+3=4$.\n*   Choose $a_1$ and $a_4$, whose sum is $1+4=5$.\n*   Choose $a_2$ and $a_3$, whose sum is $2+3=5$.\n*   Choose $a_2$ and $a_4$, whose sum is $2+4=6$.\n*   Choose $a_3$ and $a_4$, whose sum is $3+4=7$.\n\nThus, we have $S={3,4,5,6,7}$. The greatest multiple of $2$ in $S$ is $6$, so you should print $6$."},{"iden":"sample input 2","content":"3 1 2\n1 3 5"},{"iden":"sample output 2","content":"\\-1\n\nIn this example, we have $S={1,3,5}$. Nothing in $S$ is a multiple of $2$, so you should print `-1`."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}