{"trustable":true,"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\u003eAuthor has gone out of the stories about Vasiliy, so here is just a formal task description.\u003c/p\u003e\u003cp\u003eYou are given \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eq\u003c/i\u003e\u003c/span\u003e queries and a multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e, initially containing only integer \u003cspan class\u003d\"tex-span\"\u003e0\u003c/span\u003e. There are three types of queries:\u003c/p\u003e\u003col\u003e \u003cli\u003e \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e+ x\u003c/span\u003e\"\u0026nbsp;— add integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e to multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e.\u003c/li\u003e\u003cli\u003e \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e- x\u003c/span\u003e\"\u0026nbsp;— erase one occurrence of integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e from multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e. It\u0027s guaranteed that at least one \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e is present in the multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e before this query.\u003c/li\u003e\u003cli\u003e \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e? x\u003c/span\u003e\"\u0026nbsp;— you are given integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e and need to compute the value \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/fd3bcfa3b72b9a957661761f1c453793?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e, i.e. the maximum value of bitwise exclusive OR (also know as XOR) of integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e and some integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ey\u003c/i\u003e\u003c/span\u003e from the multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e.\u003c/li\u003e\u003c/ol\u003e\u003cp\u003eMultiset is a set, where equal elements are allowed.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line of the input contains a single integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eq\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003eq\u003c/i\u003e ≤ 200 000\u003c/span\u003e)\u0026nbsp;— the number of queries Vasiliy has to perform.\u003c/p\u003e\u003cp\u003eEach of the following \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eq\u003c/i\u003e\u003c/span\u003e lines of the input contains one of three characters \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003e+\u003c/span\u003e\u0027, \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003e-\u003c/span\u003e\u0027 or \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e\u0027 and an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\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\"\u003e1 ≤ \u003ci\u003ex\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e\u003c/span\u003e). It\u0027s guaranteed that there is at least one query of the third type.\u003c/p\u003e\u003cp\u003eNote, that the integer \u003cspan class\u003d\"tex-span\"\u003e0\u003c/span\u003e will always be present in the set \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each query of the type \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e\u0027 print one integer\u0026nbsp;— the maximum value of bitwise exclusive OR (XOR) of integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e and some integer from the multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Examples","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\u003e10\n+ 8\n+ 9\n+ 11\n+ 6\n+ 1\n? 3\n- 8\n? 3\n? 8\n? 11\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e11\n10\n14\n13\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eAfter first five operations multiset \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e contains integers \u003cspan class\u003d\"tex-span\"\u003e0\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e8\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e9\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e11\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e6\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e1\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe answer for the sixth query is integer \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/5e4ff5512abfce14907f7c3215fac78d?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e\u0026nbsp;— maximum among integers \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/24212faa8ca787d9740dac896afc8951?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e, \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/622ff2fd3a8777e98e5f2bfc756e0db2?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e, \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/d7400db5ab1ec0617674f988273b92e5?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e, \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/24faf21fee6013d5e1937b11387dbc28?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e and \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/ec850bcea8c20dc9ca472bcc2c09eea2?v\u003d1715944996\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e.\u003c/p\u003e"}}]}