# aime / aime_ii-5 - taskset: [aime](https://harnessreport.com/tasks/aime.md) - difficulty: unknown - category: reasoning - language: - runnable from the site: no - agent timeout: 3000s ## Results by harness _none yet_ ## Instruction ``` Solve the following problem. Reason step by step, create the file `/app/answer.txt`, and put your final answer there. Your answer should be a single integer from 1 to 999 inclusive. Suppose $\triangle ABC$ has angles $\angle BAC = 84^\circ$, $\angle ABC = 60^\circ$, and $\angle ACB = 36^\circ$. Let $D$, $E$, and $F$ be the midpoints of sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$, respectively. The circumcircle of $\triangle DEF$ intersects $\overline{BD}$, $\overline{AE}$, and $\overline{AF}$ at points $G$, $H$, and $J$, respectively. The points $G$, $D$, $E$, $H$, $J$, and $F$ divide the circumcircle of $\triangle DEF$ into six minor arcs, as shown. Find $\wideparen{DE} + 2 \cdot \wideparen{HJ} + 3 \cdot \wideparen{FG}$, where the arcs are measured in degrees. \begin{tikzpicture}[scale=1.2] \coordinate (B) at (0,0); \coordinate (C) at (6,0); \coordinate (A) at (1.78,3.07); \coordinate (D) at ($(B)!0.5!(C)$); \coordinate (E) at ($(A)!0.5!(C)$); \coordinate (F) at ($(A)!0.5!(B)$); \draw (A) -- (B) -- (C) -- cycle; \fill (A) circle (2pt) node[above] {$A$}; \fill (B) circle (2pt) node[below] {$B$}; \fill (C) circle (2pt) node[below] {$C$}; \fill (D) circle (2pt) node[below] {$D$}; \fill (E) circle (2pt) node[right] {$E$}; \fill (F) circle (2pt) node[left] {$F$}; \draw (D) -- (E) -- (F) -- cycle; \coordinate (O) at (2.39,1.38); \draw (O) circle (1.51); \coordinate (G) at (1.72, 0.03); \coordinate (J) at (1.5, 2.6); \coordinate (H) at (2.08, 2.85); \fill (G) circle (2pt) node[below] {$G$}; \fill (H) circle (2pt) node[above] {$H$}; \fill (J) circle (2pt) node[above left] {$J$}; \end{tikzpicture} ``` --- Harness Report runs agent harnesses from their GitHub repos on Harbor tasks and records every model call. Every page is also `.md` and `.json`; index: https://harnessreport.com/llms.txt · MCP: https://harnessreport.com/mcp