{"raw_statement":[{"iden":"problem statement","content":"You are given a sequence of positive integers $A=(A_1,A_2,\\dots,A_N)$ of length $N$ and a positive integer $K$.\nFind the sum of the integers between $1$ and $K$, inclusive, that do not appear in the sequence $A$."},{"iden":"constraints","content":"*   $1\\leq N \\leq 2\\times 10^5$\n*   $1\\leq K \\leq 2\\times 10^9$\n*   $1\\leq A_i \\leq 2\\times 10^9$\n*   All input values are integers."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$N$ $K$\n$A_1$ $A_2$ $\\dots$ $A_N$"},{"iden":"sample input 1","content":"4 5\n1 6 3 1"},{"iden":"sample output 1","content":"11\n\nAmong the integers between $1$ and $5$, three numbers, $2$, $4$, and $5$, do not appear in $A$.\nThus, print their sum: $2+4+5=11$."},{"iden":"sample input 2","content":"1 3\n346"},{"iden":"sample output 2","content":"6"},{"iden":"sample input 3","content":"10 158260522\n877914575 24979445 623690081 262703497 24979445 1822804784 1430302156 1161735902 923078537 1189330739"},{"iden":"sample output 3","content":"12523196466007058"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}