{"status": "success", "data": {"description_md": "Every minute a snake crawls $f(y)$ in the $x$ direction and $g(x)$ in the $y$ direction (note the input and output are switched) where $f(y)=191y+194$, and $g(x)=194x+191$. Starting at $(0,0)$, the snake will be on $(m,n)$ after $179$ minutes. Let $z$ be the remainder of $m$ when divided by $179\\cdot191$. Compute the remainder when $z$ is divided by $179$.\n", "description_html": "<p>Every minute a snake crawls <span class=\"katex--inline\">f(y)</span> in the <span class=\"katex--inline\">x</span> direction and <span class=\"katex--inline\">g(x)</span> in the <span class=\"katex--inline\">y</span> direction (note the input and output are switched) where <span class=\"katex--inline\">f(y)=191y+194</span>, and <span class=\"katex--inline\">g(x)=194x+191</span>. Starting at <span class=\"katex--inline\">(0,0)</span>, the snake will be on <span class=\"katex--inline\">(m,n)</span> after <span class=\"katex--inline\">179</span> minutes. Let <span class=\"katex--inline\">z</span> be the remainder of <span class=\"katex--inline\">m</span> when divided by <span class=\"katex--inline\">179\\cdot191</span>. Compute the remainder when <span class=\"katex--inline\">z</span> is divided by <span class=\"katex--inline\">179</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "March Break 2024 - Problem 13", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}