{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eIvan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the $$$i$$$-th of them will start during the $$$x_i$$$-th minute. Ivan doesn\u0027t want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes $$$x_1, x_2, \\dots, x_n$$$, so he will be awake during each of these minutes (\u003cspan class\u003d\"tex-font-style-bf\"\u003enote that it does not matter if his alarm clock will ring during any other minute\u003c/span\u003e).\u003c/p\u003e\u003cp\u003eIvan can choose two properties for the alarm clock — the first minute it will ring (let\u0027s denote it as $$$y$$$) and the interval between two consecutive signals (let\u0027s denote it by $$$p$$$). After the clock is set, it will ring during minutes $$$y, y + p, y + 2p, y + 3p$$$ and so on.\u003c/p\u003e\u003cp\u003eIvan can choose \u003cspan class\u003d\"tex-font-style-bf\"\u003eany\u003c/span\u003e minute as the first one, but he cannot choose any arbitrary value of $$$p$$$. He has to pick it among the given values $$$p_1, p_2, \\dots, p_m$$$ (his phone does not support any other options for this setting).\u003c/p\u003e\u003cp\u003eSo Ivan has to choose the first minute $$$y$$$ when the alarm clock should start ringing and the interval between two consecutive signals $$$p_j$$$ in such a way that it will ring during all given minutes $$$x_1, x_2, \\dots, x_n$$$ (and it does not matter if his alarm clock will ring in any other minutes).\u003c/p\u003e\u003cp\u003eYour task is to tell the first minute $$$y$$$ and the index $$$j$$$ such that if Ivan sets his alarm clock with properties $$$y$$$ and $$$p_j$$$ it will ring during all given minutes $$$x_1, x_2, \\dots, x_n$$$ or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line of the input contains two integers $$$n$$$ and $$$m$$$ ($$$2 \\le n \\le 3 \\cdot 10^5, 1 \\le m \\le 3 \\cdot 10^5$$$) — the number of events and the number of possible settings for the interval between signals.\u003c/p\u003e\u003cp\u003eThe second line of the input contains $$$n$$$ integers $$$x_1, x_2, \\dots, x_n$$$ ($$$1 \\le x_i \\le 10^{18}$$$), where $$$x_i$$$ is the minute when $$$i$$$-th event starts. It is guaranteed that all $$$x_i$$$ are given in increasing order (i. e. the condition $$$x_1 \u0026lt; x_2 \u0026lt; \\dots \u0026lt; x_n$$$ holds).\u003c/p\u003e\u003cp\u003eThe third line of the input contains $$$m$$$ integers $$$p_1, p_2, \\dots, p_m$$$ ($$$1 \\le p_j \\le 10^{18}$$$), where $$$p_j$$$ is the $$$j$$$-th option for the interval between two consecutive signals.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eIf it\u0027s impossible to choose such values $$$y$$$ and $$$j$$$ so all constraints are satisfied, print \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eNO\u003c/span\u003e\" in the first line.\u003c/p\u003e\u003cp\u003eOtherwise print \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eYES\u003c/span\u003e\" in the first line. Then print two integers $$$y$$$ ($$$1 \\le y \\le 10^{18}$$$) and $$$j$$$ ($$$1 \\le j \\le m$$$) in the second line, where $$$y$$$ is the first minute Ivan\u0027s alarm clock should start ringing and $$$j$$$ is the index of the option for the interval between two consecutive signals (options are numbered from $$$1$$$ to $$$m$$$ in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes $$$x_1, x_2, \\dots, x_n$$$. If there are multiple answers, you can print any.\u003c/p\u003e"}},{"title":"Examples","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\u003e3 5\n3 12 18\n2 6 5 3 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\n3 4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\n1 5 17 19\n4 5\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eNO\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\n1 5 17 19\n2 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\n1 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}