{"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\"\u003eAn Arc of Dream is a curve defined by following function:\u003cbr\u003e\u003ccenter\u003e\u003cimg style\u003d\"max-width:100%;\" src\u003d\"CDN_BASE_URL/51c9ae33c221547abd9077345cdf0801?v\u003d1714330302\"\u003e\u003c/center\u003e\u003cbr\u003ewhere\u003cbr\u003ea\u003csub\u003e0\u003c/sub\u003e \u003d A0\u003cbr\u003ea\u003csub\u003ei\u003c/sub\u003e \u003d a\u003csub\u003ei-1\u003c/sub\u003e*AX+AY\u003cbr\u003eb\u003csub\u003e0\u003c/sub\u003e \u003d B0\u003cbr\u003eb\u003csub\u003ei\u003c/sub\u003e \u003d b\u003csub\u003ei-1\u003c/sub\u003e*BX+BY\u003cbr\u003eWhat is the value of AoD(N) modulo 1,000,000,007?\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are multiple test cases. Process to the End of File.\u003cbr\u003eEach test case contains 7 nonnegative integers as follows:\u003cbr\u003eN\u003cbr\u003eA0 AX AY\u003cbr\u003eB0 BX BY\u003cbr\u003eN is no more than 10\u003csup\u003e18\u003c/sup\u003e, and all the other integers are no more than 2×10\u003csup\u003e9\u003c/sup\u003e."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output AoD(N) modulo 1,000,000,007."}},{"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\n1 2 3\r\n4 5 6\r\n2\r\n1 2 3\r\n4 5 6\r\n3\r\n1 2 3\r\n4 5 6\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\r\n134\r\n1902\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}