{"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\"\u003eIn order to remember history, King plans to play losephus problem in the parade gap.He calls $n (1\\le n\\le 5000)$ soldiers, counterclockwise in a circle, in label $1, 2, 3... n$.\u003cbr\u003e\u003cbr\u003eThe first round, the first person with label $1$ counts off, and the man who report number $1$ is out.\u003cbr\u003e\u003cbr\u003eThe second round, the next person of the person who is out in the last round counts off, and the man who report number $2$ is out.\u003cbr\u003e\u003cbr\u003eThe third round, the next person of the person who is out in the last round counts off, and the person who report number $3$ is out.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eThe N - 1 round, the next person of the person who is out in the last round counts off, and the person who report number $n-1$ is out.\u003cbr\u003e\u003cbr\u003eAnd the last man is survivor. Do you know the label of the survivor?\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains a number $T(0 \u0026lt; T \\le 5000)$, the number of the testcases.\u003cbr\u003e\u003cbr\u003eFor each test case, there are only one line, containing one integer $n$, representing the number of players."}},{"title":"Output","value":{"format":"HTML","content":"Output exactly $T$ lines. For each test case, print the label of the survivor."}},{"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\n2\r\n3\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n2\r\n\r\nHint:\r\nFor test case #1:the man who report number $1$ is the man with label $1$, so the man with label $2$ is survivor.\r\n\r\nFor test case #1:the man who report number $1$ is the man with label $1$, so the man with label 1 is out. Again the the man with label 2 counts $1$, the man with label $3$ counts $2$, so the man who report number $2$ is the man with label $3$. At last the man with label $2$ is survivor.\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}