{"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 For a decimal number x with n digits (A \n \u003csub\u003en\u003c/sub\u003eA \n \u003csub\u003en-1\u003c/sub\u003eA \n \u003csub\u003en-2\u003c/sub\u003e ... A \n \u003csub\u003e2\u003c/sub\u003eA \n \u003csub\u003e1\u003c/sub\u003e), we define its weight as F(x) \u003d A \n \u003csub\u003en\u003c/sub\u003e * 2 \n \u003csup\u003en-1\u003c/sup\u003e + A \n \u003csub\u003en-1\u003c/sub\u003e * 2 \n \u003csup\u003en-2\u003c/sup\u003e + ... + A \n \u003csub\u003e2\u003c/sub\u003e * 2 + A \n \u003csub\u003e1\u003c/sub\u003e * 1. Now you are given two numbers A and B, please calculate how many numbers are there between 0 and B, inclusive, whose weight is no more than F(A). \n\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line has a number T (T \u0026lt;\u003d 10000) , indicating the number of test cases. \n\u003cbr\u003eFor each test case, there are two numbers A and B (0 \u0026lt;\u003d A,B \u0026lt; 10 \n\u003csup\u003e9\u003c/sup\u003e)"}},{"title":"Output","value":{"format":"HTML","content":"For every case,you should output \"Case #t: \" at first, without quotes. The \n\u003ci\u003et\u003c/i\u003e is the case number starting from 1. Then output the answer."}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre\u003e3\n0 100\n1 10\n5 100\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre\u003eCase #1: 1\nCase #2: 2\nCase #3: 13\u003c/pre\u003e"}}]}