{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eYou are given a sequence of \u003cvar\u003e\\(N\\)\u003c/var\u003e positive integers: \u003cvar\u003e\\(A \u003d (A_1, A_2, \\dots, A_N)\\)\u003c/var\u003e, and \u003cvar\u003e\\(Q\\)\u003c/var\u003e queries.\u003c/p\u003e\r\n\u003cp\u003eIn the \u003cvar\u003e\\(i\\)\u003c/var\u003e-th query \u003cvar\u003e\\((1 \\leq i \\leq Q)\\)\u003c/var\u003e, given a positive integer \u003cvar\u003e\\(K_i\\)\u003c/var\u003e, find the \u003cvar\u003e\\(K_i\\)\u003c/var\u003e-th smallest integer among the positive integers that differ from all of \u003cvar\u003e\\(A_1, A_2, \\dots, A_N\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Constraints","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cul\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq N, Q \\leq 10^5\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq A_1 \u0026lt; A_2 \u0026lt; \\dots \u0026lt; A_N \\leq 10^{18}\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq K_i \\leq 10^{18}\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003eAll values in input are integers.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Input","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eInput is given from Standard Input in the following format:\u003c/p\u003e\r\n\u003cpre\u003e\u003cvar\u003e\\(N\\)\u003c/var\u003e \u003cvar\u003e\\(Q\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(A_1\\)\u003c/var\u003e \u003cvar\u003e\\(A_2\\)\u003c/var\u003e \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e \u003cvar\u003e\\(A_N\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(K_1\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(K_2\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(\\vdots\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(K_Q\\)\u003c/var\u003e\r\n\u003c/pre\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Output","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003ePrint \u003cvar\u003e\\(Q\\)\u003c/var\u003e lines. The \u003cvar\u003e\\(i\\)\u003c/var\u003e-th line should contain the response to the \u003cvar\u003e\\(i\\)\u003c/var\u003e-th query.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 1","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e4 3\r\n3 5 6 7\r\n2\r\n5\r\n3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n9\r\n4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\u003cp\u003eThe positive integers that differ from all of \u003cvar\u003e\\(A_1, A_2, \\dots, A_N\\)\u003c/var\u003e are \u003cvar\u003e\\(1, 2, 4, 8, 9, 10, 11, \\dots\\)\u003c/var\u003e in ascending order.\r\nThe second, fifth, and third smallest of them are \u003cvar\u003e\\(2\\)\u003c/var\u003e, \u003cvar\u003e\\(9\\)\u003c/var\u003e, and \u003cvar\u003e\\(4\\)\u003c/var\u003e, respectively.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 2","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e5 2\r\n1 2 3 4 5\r\n1\r\n10\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6\r\n15\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\u003c/section\u003e\r\n"}}]}