{"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\"\u003eGiven a number N, you are asked to count the number of integers between A and B inclusive which are relatively prime to N.\u003cbr\u003eTwo integers are said to be co-prime or relatively prime if they have no common positive divisors other than 1 or, equivalently, if their greatest common divisor is 1. The number 1 is relatively prime to every integer.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line on input contains T (0 \u0026lt; T \u0026lt;\u003d 100) the number of test cases, each of the next T lines contains three integers A, B, N where (1 \u0026lt;\u003d A \u0026lt;\u003d B \u0026lt;\u003d 10\u003csup\u003e15\u003c/sup\u003e) and (1 \u0026lt;\u003dN \u0026lt;\u003d 10\u003csup\u003e9\u003c/sup\u003e)."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print the number of integers between A and B inclusive which are relatively prime to N. Follow the output format below."}},{"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\n1 10 2\r\n3 15 5\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1: 5\r\nCase #2: 10\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":"In the first test case, the five integers in range [1,10] which are relatively prime to 2 are {1,3,5,7,9}. "}}]}