{"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\"\u003eWe have a stick with infinite length. Now we want to cut 3 sub-sticks with length x, y, z which is not large than L to form a right triangle. With unknown reasons we assume that x, y, z are all integers and satisfy that x, y, z are all co-primed each other. We want to know how many right triangles are there exist under our constraints\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line of input is an integer T (T\u0026lt;\u003d5) indicating the number of test cases.\u003cbr\u003eEach case contains a single integer L (L\u0026lt;\u003d1,000,000,000,000)."}},{"title":"Output","value":{"format":"HTML","content":"For each test case output a single integer in one line, indicating the number of right triangles."}},{"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\r\n5\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\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 our test case, we could find a right triangle (3,4,5) which satisfy 3,4,5\u0026lt;\u003d5 and gcd(3,4)\u003d1,gcd(3,5)\u003d1,gcd(4,5)\u003d1."}}]}