{"trustable":false,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eToday at the lesson Vitya learned a very interesting function\u0026nbsp;— \u003cspan class\u003d\"tex-font-style-it\"\u003emex\u003c/span\u003e. \u003cspan class\u003d\"tex-font-style-it\"\u003eMex\u003c/span\u003e of a sequence of numbers is the minimum non-negative number that is not present in the sequence as element. For example, \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003emex\u003c/i\u003e([4, 33, 0, 1, 1, 5]) \u003d 2\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003emex\u003c/i\u003e([1, 2, 3]) \u003d 0\u003c/span\u003e.\u003c/p\u003e\n\u003cp\u003eVitya quickly understood all tasks of the teacher, but can you do the same?\u003c/p\u003e\n\u003cp\u003eYou are given an array consisting of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e non-negative integers, and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\u003c/i\u003e\u003c/span\u003e queries. Each query is characterized by one number \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e and consists of the following consecutive steps:\u003c/p\u003e\n\u003cul\u003e \n \u003cli\u003e Perform the bitwise addition operation modulo \u003cspan class\u003d\"tex-span\"\u003e2\u003c/span\u003e (\u003cspan class\u003d\"tex-font-style-it\"\u003exor\u003c/span\u003e) of each array element with the number \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e. \u003c/li\u003e\n \u003cli\u003e Find \u003cspan class\u003d\"tex-font-style-it\"\u003emex\u003c/span\u003e of the resulting array. \u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003e\u003cspan class\u003d\"tex-font-style-it\"\u003eNote that after each query the array changes.\u003c/span\u003e\u003c/p\u003e\n题意翻译\n\u003cbr\u003e\n问题描述\n\u003cbr\u003e\nmex 是一个序列中没有出现过的最小非负整数。\n\u003cbr\u003e\n给出你一个长度为 n 的非负整数序列以及 m 个询问,每次询问先给你一个整数 x ,然后:\n\u003cbr\u003e\n把序列中所有数异或上 x\n\u003cbr\u003e\n输出序列的 mex\n\u003cbr\u003e\n注意,在每个询问过后序列是发生变化的。"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eFirst line contains two integer numbers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003en\u003c/i\u003e, \u003ci\u003em\u003c/i\u003e ≤ 3·10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e)\u0026nbsp;— number of elements in array and number of queries.\u003c/p\u003e\n\u003cp\u003eNext line contains \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integer numbers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e0 ≤ \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e ≤ 3·10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e)\u0026nbsp;— elements of then array.\u003c/p\u003e\n\u003cp\u003eEach of next \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\u003c/i\u003e\u003c/span\u003e lines contains query\u0026nbsp;— one integer number \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e0 ≤ \u003ci\u003ex\u003c/i\u003e ≤ 3·10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each query print the answer on a separate line.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003cdiv class\u003d\"sample-test\"\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e2 2\u003cbr\u003e1 3\u003cbr\u003e1\u003cbr\u003e3\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e1\u003cbr\u003e0\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e4 3\u003cbr\u003e0 1 5 6\u003cbr\u003e1\u003cbr\u003e2\u003cbr\u003e4\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e2\u003cbr\u003e0\u003cbr\u003e0\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e5 4\u003cbr\u003e0 1 5 6 7\u003cbr\u003e1\u003cbr\u003e1\u003cbr\u003e4\u003cbr\u003e5\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e2\u003cbr\u003e2\u003cbr\u003e0\u003cbr\u003e2\u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}}]}