{"trustable":true,"prependHtml":"\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 async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eZeus and Prometheus played a game. Prometheus gave Zeus a set containing N positive integers. Then Prometheus made M inquiries to Zeus, each containing a positive integer S. After that, Zeus needed to find a positive integer K in the set, so that the XOR result of K and S is maximized. To show Zeus the greatness of humanity, Prometheus agreed that Zeus could seek help from humans. Can you prove the wisdom of humanity?\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The input contains several sets of test data, each consisting of several lines.\u003cbr\u003e The first line of the input is an integer T (T \u0026lt; 10), indicating the total number of sets of data.\u003cbr\u003e The first line of each set of data inputs two positive integers N and M (\u0026lt;1\u003dN,M\u0026lt;\u003d100000). The next line contains N positive integers, representing the set obtained by Zeus. After that, there are M lines, each containing a positive integer S, representing Prometheus\u0027s inquiry. All positive integers are not greater than 2^32."}},{"title":"Output","value":{"format":"HTML","content":"For each set of data, you need to first output a line \"Case #?:\", where the question mark should be replaced with the current set number, starting from 1.\u003cbr\u003e For each inquiry, output a positive integer K, so that the XOR value of K and S is maximized."}},{"title":"Sample","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\u003e2\r\n3 2\r\n3 4 5\r\n1\r\n5\r\n4 1\r\n4 6 5 6\r\n3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1:\r\n4\r\n3\r\nCase #2:\r\n4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e"}}]}