{"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\"\u003eAnton has a positive integer $n$, however, it quite looks like a mess, so he wants to make it beautiful after $k$ swaps of digits.\u003cbr\u003eLet the decimal representation of $n$ as $(x_1 x_2 \\cdots x_m)_{10}$ satisfying that $1 \\leq x_1 \\leq 9$, $0 \\leq x_i \\leq 9$ $(2 \\leq i \\leq m)$, which means $n \u003d \\sum_{i \u003d 1}^{m}{x_i 10^{m - i}}$. In each swap, Anton can select two digits $x_i$ and $x_j$ $(1 \\leq i \\leq j \\leq m)$ and then swap them if the integer after this swap has no leading zero.\u003cbr\u003eCould you please tell him the minimum integer and the maximum integer he can obtain after $k$ swaps?\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains one integer $T$, indicating the number of test cases.\u003cbr\u003eEach of the following $T$ lines describes a test case and contains two space-separated integers $n$ and $k$.\u003cbr\u003e$1 \\leq T \\leq 100$, $1 \\leq n, k \\leq 10^9$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print in one line the minimum integer and the maximum integer which are separated by one space.\u003cbr\u003e"}},{"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\u003e5\r\n12 1\r\n213 2\r\n998244353 1\r\n998244353 2\r\n998244353 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e12 21\r\n123 321\r\n298944353 998544323\r\n238944359 998544332\r\n233944859 998544332\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}