{"status": "success", "data": {"description_md": "Shiro has $26$ unique blocks arranged in a circle and wants to add $5$ stickers to the blocks, labelled $1,2,3,4,5$. He starts by choosing any starting block to add the first sticker to. Each subsequent sticker must be separated from the previous one by no more than $4$ blocks. A block may have multiple stickers but the same block cannot be chosen consecutively. How many distinct combinations of blocks and stickers are possible?\n  \n$\\textbf{(A)}~16250\\qquad\\textbf{(B)}~2600000\\qquad\\textbf{(C)}~100000\\qquad\\textbf{(D)}~11881376\\qquad\\textbf{(E)}~260000$", "description_html": "<p>Shiro has <span class=\"katex--inline\">26</span> unique blocks arranged in a circle and wants to add <span class=\"katex--inline\">5</span> stickers to the blocks, labelled <span class=\"katex--inline\">1,2,3,4,5</span>. He starts by choosing any starting block to add the first sticker to. Each subsequent sticker must be separated from the previous one by no more than <span class=\"katex--inline\">4</span> blocks. A block may have multiple stickers but the same block cannot be chosen consecutively. How many distinct combinations of blocks and stickers are possible?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~16250\\qquad\\textbf{(B)}~2600000\\qquad\\textbf{(C)}~100000\\qquad\\textbf{(D)}~11881376\\qquad\\textbf{(E)}~260000</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 10 - Problem 8", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}