{"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 n points $P_1$, $P_2$, .... , $P_n$ on 2D plane and q queries. In i-th query, a point $A_i$ is given, and you should determine the number of tuples (u, v) that 1 $\\leq$ u \u0026lt; v $\\leq$ n and $A_i$ , $P_u$, $P_v$ form a non-degenerate right-angled triangle.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains two positive integers n, q (2 ≤ n ≤ 2 000, 1 ≤ q ≤ 2 000), denoting the numberof given points and the number of queries.\u003cbr\u003eNext n lines each contains two integers xi , yi (|xi|, |yi| ≤ $10^9$), denoting a given point Pi.\u003cbr\u003eNext q lines each contains two integers xi , yi (|xi|, |yi| ≤ $10^9$), denoting a query point Ai.\u003cbr\u003eIt is guaranteed that the input n + q points are all pairwise distinct."}},{"title":"Output","value":{"format":"HTML","content":"Output q lines each contains a non-negative integer, denoting the answer to corresponding query."}},{"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\u003e4 2\r\n0 1\r\n1 0\r\n0 -1\r\n-1 0\r\n0 0\r\n1 1\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\r\n3\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\u003eFor query (0, 0), the 4 right-angled triangles are\u003cbr\u003e\u0026amp;#65533; {(0, 0),(0, 1),(1, 0)} \u003cbr\u003e\u0026amp;#65533; {(0, 0),(0, 1),(-1, 0)} \u003cbr\u003e\u0026amp;#65533; {(0, 0),(0,-1),(1, 0)} \u003cbr\u003e\u0026amp;#65533; {(0, 0),(0,-1),(-1, 0)}\u003cbr\u003eFor query (1, 1), the 3 right-angled triangles are\u003cbr\u003e\u0026amp;#65533; {(1, 1),(0, 1),(1, 0)} \u003cbr\u003e\u0026amp;#65533; {(1, 1),(0, 1),(0,-1)} \u003cbr\u003e\u0026amp;#65533; {(1, 1),(1, 0),(-1, 0)}\u003cbr\u003e"}}]}