{"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\"\u003eAOA just met a problem when he attended an interview, as shown below:\u003cbr\u003eA and B two people play guessing games. A thinks of a number x between a and b randomly in his mind, and he lets B to guess this number. A will say too small if B’s guess is less than x and A will say yes if B’s guess is just x.Once B’sguess is bigger than x,A won\u0027t speak any more.After that,A just nods his head if B’s guess is just x,otherwise shakes his head.The problem is that how many kinds of best guess strategies to make the least number of guesses in the worst situation?\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"Input contains multiple sets of test data and each of them occupies one line,including two integersa, b(1≤a≤b≤5 * 10^6),on behalf of range of the number.Input to the end of the file."}},{"title":"Output","value":{"format":"HTML","content":"For each set of input, output one line containing two integers. The first one represents the least number of times of guessing in the worst situation. The second one represents the number of best guess method modulo 100000073."}},{"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\u003e1 5\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3 3\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cbr\u003eB can guess the number in A\u0027s mind up to 3 times in the worst case.\u003cbr\u003eThe first method,B can guess in the order of (2,4,5)\u003cbr\u003eThe second method,B can guess in the order of (3,4,5)\u003cbr\u003eThe third method,B can guess in the order of (3,5)\u003cbr\u003eEach method is up to three times.\u003cbr\u003e"}}]}