{"trustable":false,"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cscript type\u003d\u0027text/x-mathjax-config\u0027\u003eMathJax.Hub.Config({tex2jax: { inlineMath: [[\u0027$\u0027,\u0027$\u0027]] } }); \u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027 src\u003d\u0027https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\u0027\u003e\u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027\u003esetTimeout(function(){MathJax.Hub.Queue([\u0027Typeset\u0027, MathJax.Hub, \u0027left_view\u0027]);}, 2000);\u003c/script\u003e\n\u003cdiv class\u003d\"panel_content\"\u003e\n Little Ruins is playing a number game, first he chooses two positive integers $y$ and $K$ and calculates $f(y, K)$, here \n \u003cbr\u003e \n \u003cbr\u003e$$f(y, K) \u003d \\sum_{z\\text{ in every digits of }y} z^K (f(233, 2) \u003d 2^2 + 3^2 + 3^2 \u003d 22)$$ \n \u003cbr\u003e \n \u003cbr\u003ethen he gets the result \n \u003cbr\u003e \n \u003cbr\u003e$$x \u003d f(y, K) - y$$ \n \u003cbr\u003e \n \u003cbr\u003eAs Ruins is forgetful, a few seconds later, he only remembers $K$, $x$ and forgets $y$. please help him find how many $y$ satisfy $x \u003d f(y, K) - y$. \n\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"第一行包含一个整数T,表示测试用例的数量。\n\n每个测试用例包含一行,带有两个整数x,K。\n\n范围\n1≤T≤100\n0≤x≤109\n1≤K≤9"}},{"title":"Output","value":{"format":"HTML","content":"对于每个测试用例,您应输出\u0027Case #x:y\u0027,其中x表示案例编号,从1开始计数,y是结果。\n\n"}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre\u003e2\n2 2\n3 2\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre\u003eCase #1: 1\nCase #2: 2\u003c/pre\u003e"}}]}