{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eLet us define a sequence as below\u003cbr\u003e\u003cbr\u003e$$\\left\\{\\begin{eqnarray*}\\\\F_1 \u0026amp;\u003d\u0026amp; A \\\\\\\\F_2 \u0026amp;\u003d\u0026amp; B \\\\\\\\F_n \u0026amp;\u003d\u0026amp; C\\cdot{}F_{n-2}+D\\cdot{}F_{n-1}+\\left\\lfloor\\frac{P}{n}\\right\\rfloor\\\\\\end{eqnarray*}\\right.$$\u003cbr\u003e\u003cbr\u003e\u0026nbsp;\u0026nbsp;Your job is simple, for each task, you should output $F_n$ module $10^9+7$.\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line has only one integer $T$, indicates the number of tasks.\u003cbr\u003e\u003cbr\u003eThen, for the next $T$ lines, each line consists of $6$ integers, $A$ , $B$, $C$, $D$, $P$, $n$.\u003cbr\u003e\u003cbr\u003e$1 \\leq T \\leq 20 \\\\\u003cbr\u003e0 \\leq A, B, C, D \\leq 10^9 \\\\\u003cbr\u003e1 \\leq P, n \\leq 10^9$\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cpre\u003e36\r\n24\u003c/pre\u003e"}},{"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\n3 3 2 1 3 5\r\n3 2 2 2 1 4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e36\r\n24\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}