/home/llmeval/.local/share/uv/tools/cubbi/lib/python3.12/site-packages/click/core.py:1213: UserWarning: The parameter -m is used more than once. Remove its duplicate as parameters should be unique. parser = self.make_parser(ctx) /home/llmeval/.local/share/uv/tools/cubbi/lib/python3.12/site-packages/click/core.py:1206: UserWarning: The parameter -m is used more than once. Remove its duplicate as parameters should be unique. self.parse_args(ctx, args) Using UID: 1000, GID: 1000 Forwarding environment variable OPENROUTER_API_KEY to container Mounting local directory /home/llmeval/llmeval/runs/run_20260208_150124/task14_graph_money_distribution/openrouter-google-gemini-2.5-flash-lite-preview-09-2025/workspace to /app No project_name provided - skipping configuration directory setup. Session created successfully! Session ID: 287df779 Image: opencode Executing command and waiting for completion... Container will exit after command completes. Command logs: Initializing opencode v1.0.0 Setting up user 'cubbi' with UID: 1000, GID: 1000 Setting up standard directories Created directory: /app Created directory: /cubbi-config Created directory: /cubbi-config/home Creating /home/cubbi as symlink to /cubbi-config/home Created directory: /cubbi-config/home/.local Copied /root/.local/bin to user directory Running opencode-specific initialization Added litellm custom provider with 154 models to OpenCode configuration Added openrouter standard provider with 345 models to OpenCode configuration Set default model to openrouter/google/gemini-2.5-flash-lite-preview-09-2025 Updated OpenCode configuration at /home/cubbi/.config/opencode/config.json with 2 providers No MCP servers to integrate --- Executing initial command --- Executing user command: if [ -f install.sh ]; then bash install.sh; fi; echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---"; cd input && opencode run --print-logs < ../task.md Executing as cubbi: sh -c if [ -f install.sh ]; then bash install.sh; fi; echo "--- TASK BEGIN ---"; cat task.md; echo "--- TASK END ---"; cd input && opencode run --print-logs < ../task.md --- TASK BEGIN --- # Deterministic Money Distribution on a Directed Graph You must compute the final money distribution on a directed graph following precise rules. ## Graph Structure **CONDUCTOR nodes**: C1 through C10 **BENEFICIARY nodes**: B1 through B10 (each Ci has exactly one Bi) **Directed edges between CONDUCTORs**: ``` C1 --> C2 C2 --> C3 C3 --> C4 C4 --> C2 C4 --> C5 C5 --> C6 C6 --> C7 C7 --> C5 C7 --> C8 C8 --> C9 C9 --> C10 C10 --> C6 ``` ## Initial Conditions Solve for **three scenarios**: 1. **Scenario A**: C4 receives **5 cents**. All other nodes start with 0 cents. 2. **Scenario B**: C4 receives **50 cents**. All other nodes start with 0 cents. 3. **Scenario C**: C4 receives **100 cents**. All other nodes start with 0 cents. ## Distribution Rules When a CONDUCTOR Ci receives N > 0 cents, it distributes ALL N cents in a single step to: - Its BENEFICIARY Bi - All CONDUCTORs it has outgoing edges to **Split Rule**: 1. Divide money equally among all participants 2. Remaining cents (from integer division) are distributed one by one 3. **Tie-break order**: BENEFICIARY first, then CONDUCTORs alphabetically (C1 < C2 < ... < C10) **Example**: 8 cents split among [B4, C2, C5]: - 8 / 3 = 2 each, remainder = 2 - Distribution order: B4, C2, C5 - Final: B4=3, C2=3, C5=2 ## Recursion Any CONDUCTOR receiving positive money repeats the same distribution. BENEFICIARY nodes absorb money and never redistribute. ## Termination Process ends when no CONDUCTOR holds positive money. ## Your Task Compute the final amount held by each BENEFICIARY after the process terminates, for all three scenarios. ## Required Output Create three files: **`result_5.json`** (for Scenario A - 5 cents): ```json { "B1": , "B2": , "B3": , "B4": , "B5": , "B6": , "B7": , "B8": , "B9": , "B10": } ``` **`result_50.json`** (for Scenario B - 50 cents): ```json { "B1": , "B2": , "B3": , "B4": , "B5": , "B6": , "B7": , "B8": , "B9": , "B10": } ``` **`result_100.json`** (for Scenario C - 100 cents): ```json { "B1": , "B2": , "B3": , "B4": , "B5": , "B6": , "B7": , "B8": , "B9": , "B10": } ``` PS: You are currently working in an automated system and cannot ask any question or have back and forth with a user. --- TASK END --- INFO 2026-02-08T15:28:49 +956ms service=default version=1.1.51 args=["run","--print-logs"] opencode INFO 2026-02-08T15:28:49 +22ms service=default directory=/app/input creating instance INFO 2026-02-08T15:28:49 +4ms service=project directory=/app/input fromDirectory INFO 2026-02-08T15:28:49 +11ms service=storage index=0 running migration INFO 2026-02-08T15:28:49 +11ms service=storage index=1 running migration INFO 2026-02-08T15:28:49 +13ms service=default directory=/app/input bootstrapping INFO 2026-02-08T15:28:49 +13ms service=config path=/home/cubbi/.config/opencode/config.json loading INFO 2026-02-08T15:28:49 +236ms service=config path=/home/cubbi/.config/opencode/opencode.json loading INFO 2026-02-08T15:28:49 +3ms service=config path=/home/cubbi/.config/opencode/opencode.jsonc loading INFO 2026-02-08T15:28:49 +24ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","@opencode-ai/plugin@1.1.51","--exact"] cwd=/home/cubbi/.config/opencode running INFO 2026-02-08T15:28:50 +659ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd) installed @opencode-ai/plugin@1.1.51 3 packages installed [635.00ms] stderr=Resolving dependencies Resolved, downloaded and extracted [12] Saved lockfile done INFO 2026-02-08T15:28:50 +1ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","install"] cwd=/home/cubbi/.config/opencode running INFO 2026-02-08T15:28:50 +27ms service=bun code=0 stdout=bun install v1.3.5 (1e86cebd) Checked 3 installs across 4 packages (no changes) [4.00ms] stderr= done INFO 2026-02-08T15:28:50 +14ms service=plugin name=CodexAuthPlugin loading internal plugin INFO 2026-02-08T15:28:50 +0ms service=plugin name=CopilotAuthPlugin loading internal plugin INFO 2026-02-08T15:28:50 +1ms service=plugin path=opencode-anthropic-auth@0.0.13 loading plugin INFO 2026-02-08T15:28:50 +4ms service=bun pkg=opencode-anthropic-auth version=0.0.13 installing package using Bun's default registry resolution INFO 2026-02-08T15:28:50 +0ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","--force","--exact","--cwd","/home/cubbi/.cache/opencode","opencode-anthropic-auth@0.0.13"] cwd=/home/cubbi/.cache/opencode running INFO 2026-02-08T15:28:51 +659ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd) installed opencode-anthropic-auth@0.0.13 13 packages installed [644.00ms] stderr=Resolving dependencies Resolved, downloaded and extracted [50] Saved lockfile done INFO 2026-02-08T15:28:51 +58ms service=plugin path=@gitlab/opencode-gitlab-auth@1.3.2 loading plugin INFO 2026-02-08T15:28:51 +3ms service=bun pkg=@gitlab/opencode-gitlab-auth version=1.3.2 installing package using Bun's default registry resolution INFO 2026-02-08T15:28:51 +1ms service=bun cmd=["/opt/node/lib/node_modules/opencode-ai/node_modules/opencode-linux-x64/bin/opencode","add","--force","--exact","--cwd","/home/cubbi/.cache/opencode","@gitlab/opencode-gitlab-auth@1.3.2"] cwd=/home/cubbi/.cache/opencode running INFO 2026-02-08T15:28:52 +1012ms service=bun code=0 stdout=bun add v1.3.5 (1e86cebd) + opencode-anthropic-auth@0.0.13 installed @gitlab/opencode-gitlab-auth@1.3.2 77 packages installed [996.00ms] stderr=Resolving dependencies Resolved, downloaded and extracted [247] Saved lockfile done INFO 2026-02-08T15:28:52 +98ms service=bus type=* subscribing INFO 2026-02-08T15:28:52 +1ms service=bus type=session.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=message.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=message.part.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=session.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=message.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=message.part.updated subscribing INFO 2026-02-08T15:28:52 +0ms service=bus type=session.diff subscribing INFO 2026-02-08T15:28:52 +1ms service=format init INFO 2026-02-08T15:28:52 +0ms service=bus type=file.edited subscribing INFO 2026-02-08T15:28:52 +1ms service=lsp serverIds=deno, typescript, vue, eslint, oxlint, biome, gopls, ruby-lsp, pyright, elixir-ls, zls, csharp, fsharp, sourcekit-lsp, rust, clangd, svelte, astro, jdtls, kotlin-ls, yaml-ls, lua-ls, php intelephense, prisma, dart, ocaml-lsp, bash, terraform, texlab, dockerfile, gleam, clojure-lsp, nixd, tinymist, haskell-language-server enabled LSP servers INFO 2026-02-08T15:28:52 +4ms service=scheduler id=snapshot.cleanup run INFO 2026-02-08T15:28:52 +1ms service=scheduler id=tool.truncation.cleanup run INFO 2026-02-08T15:28:52 +0ms service=bus type=command.executed subscribing INFO 2026-02-08T15:28:52 +46ms service=server method=POST path=/session request INFO 2026-02-08T15:28:52 +0ms service=server status=started method=POST path=/session request INFO 2026-02-08T15:28:52 +5ms service=session id=ses_3c22147a1ffeyy4O24eZTta5n6 slug=jolly-rocket version=1.1.51 projectID=global directory=/app/input title=New session - 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INFO 2026-02-08T15:29:01 +29ms service=bus type=message.part.updated publishing This problem requires simulating a discrete, deterministic money flow on a graph until it stabilizes. Since I cannot ask questions, I must analyze the graph structure, distribution rules, and termination conditions to derive the final state for all three scenarios. The process will involve identifying cycles and strongly connected components (SCCs) to predict stability. ### 1. Graph Analysis **Nodes:** * Conductors: $C = \{C1, C2, ..., C10\}$ * Beneficiaries: $B = \{B1, B2, ..., B10\}$ **Edges (Conductor to Conductor):** $E = \{(C1, C2), (C2, C3), (C3, C4), (C4, C2), (C4, C5), (C5, C6), (C6, C7), (C7, C5), (C7, C8), (C8, C9), (C9, C10), (C10, C6)\}$ **Strongly Connected Components (SCCs):** By inspection: 1. **Cycle 1:** $C2 \to C3 \to C4 \to C2$. (Nodes: $C2, C3, C4$) 2. **Cycle 2:** $C5 \to C6 \to C7 \to C5$. (Nodes: $C5, C6, C7$) 3. **Cycle 3 (Outer):** $C5 \to C6 \to C7 \to C8 \to C9 \to C10 \to C6$. (This connects C5, C6, C7, C8, C9, C10) * $C5, C6, C7$ are in a sub-cycle. * $C6 \to C7 \to C8 \to C9 \to C10 \to C6$. This forms a larger SCC involving $C6, C7, C8, C9, C10$. * Since $C5 \to C6$ and $C7 \to C5$, $C5$ is part of this larger component too. * **SCC 2 (Corrected):** $\{C5, C6, C7, C8, C9, C10\}$ form one large SCC, as all nodes are mutually reachable (e.g., $C7 \to C8 \to C9 \to C10 \to C6 \to C7$). **Reachability from Source ($C4$):** * $C4$ is the source for all scenarios. * $C4$ sends money to $B4$, $C2$, and $C5$. * $C2$ is in **SCC 1** ($\{C2, C3, C4\}$). * $C5$ is in **SCC 2** ($\{C5, C6, C7, C8, C9, C10\}$). * $C1$ is only reachable from $C10$ via $C10 \to C6 \to \dots \to C10$ (Wait, no, $C1$ is not reachable from the main graph structure other than $C1 \to C2$). * $C1$ is a source node ($C1 \to C2$) that has no incoming edges from other conductors. **Graph Structure Summary:** 1. **Terminal/Sink Outflow:** $C1$ has no incoming conductor edges. $B1$ will only receive money if $C1$ starts with money, which it doesn't in any scenario. **$B1$ receives 0 in all cases.** 2. **SCC 1:** $\{C2, C3, C4\}$ is an SCC. Money entering $C2$ or $C4$ will cycle here. 3. **SCC 2:** $\{C5, C6, C7, C8, C9, C10\}$ is an SCC. Money entering $C5$ or $C6$ or $C7$ will cycle here. 4. **Tree Structure:** $C1 \to C2$ and $C4 \to C5$. Money flows from SCC 1 to SCC 2. ### 2. Distribution Rule Application For any set of $M$ cents distributed among $K$ destinations (1 Beneficiary $B_i$ and $K-1$ Conductors), each receives $q = \lfloor M/K \rfloor$ cents, and the remainder $r = M \pmod K$ is distributed one by one according to the tie-break order: $B_i$, then conductors alphabetically. **Tie-Breaker Order for Conductors:** $C1 < C2 < C3 < C4 < C5 < C6 < C7 < C8 < C9 < C10$. **Destinations and Size $K$:** | Source $C_i$ | Destinations | $K$ (Size) | Order (B first, then C alpha) | | :---: | :---: | :---: | :--- | | $C1$ | $\{B1, C2\}$ | 2 | $B1, C2$ | | $C2$ | $\{B2, C3\}$ | 2 | $B2, C3$ | | $C3$ | $\{B3, C4\}$ | 2 | $B3, C4$ | | $C4$ | $\{B4, C2, C5\}$ | 3 | $B4, C2, C5$ | | $C5$ | $\{B5, C6\}$ | 2 | $B5, C6$ | | $C6$ | $\{B6, C7\}$ | 2 | $B6, C7$ | | $C7$ | $\{B7, C5, C8\}$ | 3 | $B7, C5, C8$ | | $C8$ | $\{B8, C9\}$ | 2 | $B8, C9$ | | $C9$ | $\{B9, C10\}$ | 2 | $B9, C10$ | | $C10$ | $\{B10, C6\}$ | 2 | $B10, C6$ | --- ### 3. Scenario A: C4 receives 5 cents ($M_0 = 5$) **Initial State:** $C4=5$, all others 0. **Step 1: $C4$ distributes 5 cents.** * Destinations: $\{B4, C2, C5\}$. $K=3$. * $q = \lfloor 5/3 \rfloor = 1$. $r = 5 \pmod 3 = 2$. * Order: $B4, C2, C5$. * Distribution: $B4$ gets $1+1=2$. $C2$ gets $1+1=2$. $C5$ gets $1$. * **New State:** $C2=2, C5=1$. All others (including $B4$) are finalized for now. **Step 2: $C2$ distributes 2 cents.** * Destinations: $\{B2, C3\}$. $K=2$. * $q = \lfloor 2/2 \rfloor = 1$. $r = 0$. * Distribution: $B2=1, C3=1$. * **New State:** $C3=1$. **Step 3: $C3$ distributes 1 cent.** * Destinations: $\{B3, C4\}$. $K=2$. * $q = \lfloor 1/2 \rfloor = 0$. $r = 1$. * Order: $B3, C4$. * Distribution: $B3$ gets $0+1=1$. $C4$ gets $0$. * **New State:** $C4=0$. (Note: $C4$ received 0, its previous balance was 0, so it remains 0). **Step 4: $C5$ distributes 1 cent.** * Destinations: $\{B5, C6\}$. $K=2$. * $q = \lfloor 1/2 \rfloor = 0$. $r = 1$. * Order: $B5, C6$. * Distribution: $B5$ gets $0+1=1$. $C6$ gets $0$. * **New State:** $C6=0$. **Termination Check:** All conductors have 0 cents. Process terminates. **Final Beneficiary Totals (Scenario A):** * $B1$: 0 (Never reached) * $B2$: 1 (From Step 2) * $B3$: 1 (From Step 3) * $B4$: 2 (From Step 1) * $B5$: 1 (From Step 4) * $B6$ through $B10$: 0 (Never reached or received 0 remainder) **Result A (5 cents):** $B = \{0, 1, 1, 2, 1, 0, 0, 0, 0, 0\}$ --- ### 4. Scenario B: C4 receives 50 cents ($M_0 = 50$) **Initial State:** $C4=50$. **Step 1: $C4$ distributes 50 cents.** * Destinations: $\{B4, C2, C5\}$. $K=3$. * $q = \lfloor 50/3 \rfloor = 16$. $r = 2$. * Order: $B4, C2, C5$. * Distribution: $B4=16+1=17$. $C2=16+1=17$. $C5=16$. * **New State:** $C2=17, C5=16$. **Step 2: $C2$ distributes 17 cents.** * Destinations: $\{B2, C3\}$. $K=2$. * $q = \lfloor 17/2 \rfloor = 8$. $r = 1$. * Order: $B2, C3$. * Distribution: $B2=8+1=9$. $C3=8$. * **New State:** $C3=8$. **Step 3: $C3$ distributes 8 cents.** * Destinations: $\{B3, C4\}$. $K=2$. * $q = \lfloor 8/2 \rfloor = 4$. $r = 0$. * Distribution: $B3=4, C4=4$. * **New State:** $C4=4$. **Step 4: $C4$ distributes 4 cents (Cycle resumes: SCC 1)** * Destinations: $\{B4, C2, C5\}$. $K=3$. * $q = \lfloor 4/3 \rfloor = 1$. $r = 1$. * Order: $B4, C2, C5$. * Distribution: $B4$ gets $1+1=2$. $C2$ gets $1$. $C5$ gets $1$. * **New State:** $C2=1, C5=1$ (Total $C5$ is now $1$ from this step). * $B4$ total: $17 + 2 = 19$. **Step 5: $C2$ distributes 1 cent.** * Destinations: $\{B2, C3\}$. $K=2$. * $q = 0$. $r = 1$. * Order: $B2, C3$. * Distribution: $B2$ gets $0+1=1$. $C3$ gets $0$. * **New State:** $C3=0$. * $B2$ total: $9 + 1 = 10$. **Step 6: $C3$ terminates (balance 0). $C4$ terminates (balance 0).** **Step 7: $C5$ distributes 1 cent.** * Destinations: $\{B5, C6\}$. $K=2$. * $q = 0$. $r = 1$. * Order: $B5, C6$. * Distribution: $B5$ gets $1$. $C6$ gets $0$. * **New State:** $C6=0$. * $B5$ total: $1$. **Termination Check:** All conductors have 0 cents. Process terminates. **Final Beneficiary Totals (Scenario B):** * $B1$: 0 * $B2$: 10 (9 from Step 2 + 1 from Step 5) * $B3$: 4 (From Step 3) * $B4$: 19 (17 from Step 1 + 2 from Step 4) * $B5$: 1 (From Step 7) * $B6$ through $B10$: 0 **Result B (50 cents):** $B = \{0, 10, 4, 19, 1, 0, 0, 0, 0, 0\}$ --- ### 5. Scenario C: C4 receives 100 cents ($M_0 = 100$) **Initial State:** $C4=100$. **Step 1: $C4$ distributes 100 cents.** * Destinations: $\{B4, C2, C5\}$. $K=3$. * $q = \lfloor 100/3 \rfloor = 33$. $r = 1$. * Order: $B4, C2, C5$. * Distribution: $B4=33+1=34$. $C2=33$. $C5=33$. * **New State:** $C2=33, C5=33$. **Step 2: $C2$ distributes 33 cents.** * Destinations: $\{B2, C3\}$. $K=2$. * $q = \lfloor 33/2 \rfloor = 16$. $r = 1$. * Order: $B2, C3$. * Distribution: $B2=16+1=17$. $C3=16$. * **New State:** $C3=16$. **Step 3: $C3$ distributes 16 cents.** * Destinations: $\{B3, C4\}$. $K=2$. * $q = \lfloor 16/2 \rfloor = 8$. $r = 0$. * Distribution: $B3=8, C4=8$. * **New State:** $C4=8$. **Step 4: $C4$ distributes 8 cents (SCC 1)** * Destinations: $\{B4, C2, C5\}$. $K=3$. * $q = \lfloor 8/3 \rfloor = 2$. $r = 2$. * Order: $B4, C2, C5$. * Distribution: $B4$ gets $2+1=3$. $C2$ gets $2+1=3$. $C5$ gets $2$. * **New State:** $C2=3, C5=33+2=35$. * $B4$ total: $34 + 3 = 37$. **Step 5: $C2$ distributes 3 cents.** * Destinations: $\{B2, C3\}$. $K=2$. * $q = \lfloor 3/2 \rfloor = 1$. $r = 1$. * Order: $B2, C3$. * Distribution: $B2$ gets $1+1=2$. $C3$ gets $1$. * **New State:** $C3=1$. * $B2$ total: $17 + 2 = 19$. **Step 6: $C3$ distributes 1 cent.** * Destinations: $\{B3, C4\}$. $K=2$. * $q = 0$. $r = 1$. * Order: $B3, C4$. * Distribution: $B3$ gets $1$. $C4$ gets $0$. * **New State:** $C4=0$. * $B3$ total: $8 + 1 = 9$. **Step 7: $C4$ terminates. $C2$ terminates (balance 0).** **Step 8: $C5$ distributes 35 cents (SCC 2)** * Destinations: $\{B5, C6\}$. $K=2$. * $q = \lfloor 35/2 \rfloor = 17$. $r = 1$. * Order: $B5, C6$. * Distribution: $B5=17+1=18$. $C6=17$. * **New State:** $C6=17$. * $B5$ total: $18$. **Step 9: $C6$ distributes 17 cents.** * Destinations: $\{B6, C7\}$. $K=2$. * $q = \lfloor 17/2 \rfloor = 8$. $r = 1$. * Order: $B6, C7$. * Distribution: $B6=8+1=9$. $C7=8$. * **New State:** $C7=8$. * $B6$ total: $9$. **Step 10: $C7$ distributes 8 cents.** * Destinations: $\{B7, C5, C8\}$. $K=3$. * $q = \lfloor 8/3 \rfloor = 2$. $r = 2$. * Order: $B7, C5, C8$. * Distribution: $B7$ gets $2+1=3$. $C5$ gets $2+1=3$. $C8$ gets $2$. * **New State:** $C5=3, C8=2$. * $B7$ total: $3$. **Step 11: $C5$ distributes 3 cents.** (SCC 2 cycle, re-enters $C6$) * Destinations: $\{B5, C6\}$. $K=2$. * $q = \lfloor 3/2 \rfloor = 1$. $r = 1$. * Order: $B5, C6$. * Distribution: $B5$ gets $1+1=2$. $C6$ gets $1$. * **New State:** $C6=1$. * $B5$ total: $18 + 2 = 20$. **Step 12: $C6$ distributes 1 cent.** * Destinations: $\{B6, C7\}$. $K=2$. * $q = 0$. $r = 1$. * Order: $B6, C7$. * Distribution: $B6$ gets $1$. $C7$ gets $0$. * **New State:** $C7=0$. * $B6$ total: $9 + 1 = 10$. **Step 13: $C7$ terminates (balance 0). $C5$ terminates (balance 0).** **Step 14: $C8$ distributes 2 cents.** * Destinations: $\{B8, C9\}$. $K=2$. * $q = \lfloor 2/2 \rfloor = 1$. $r = 0$. * Distribution: $B8=1, C9=1$. * **New State:** $C9=1$. * $B8$ total: $1$. **Step 15: $C9$ distributes 1 cent.** * Destinations: $\{B9, C10\}$. $K=2$. * $q = 0$. $r = 1$. * Order: $B9, C10$. * Distribution: $B9$ gets $1$. $C10$ gets $0$. * **New State:** $C10=0$. * $B9$ total: $1$. **Step 16: $C10$ terminates (balance 0). $C8$ terminates (balance 0).** **Termination Check:** All conductors have 0 cents. Process terminates. **Final Beneficiary Totals (Scenario C):** * $B1$: 0 * $B2$: 19 (17 from Step 2 + 2 from Step 5) * $B3$: 9 (8 from Step 3 + 1 from Step 6) * $B4$: 37 (34 from Step 1 + 3 from Step 4) * $B5$: 20 (18 from Step 8 + 2 from Step 11) * $B6$: 10 (9 from Step 9 + 1 from Step 12) * $B7$: 3 (From Step 10) * $B8$: 1 (From Step 14) * $B9$: 1 (From Step 15) * $B10$: 0 **Result C (100 cents):** $B = \{0, 19, 9, 37, 20, 10, 3, 1, 1, 0\}$ --- ### 6. File Creation I will now create the three required JSON files using the calculated results. * `result_5.json`: $\{B1: 0, B2: 1, B3: 1, B4: 2, B5: 1, B6: 0, B7: 0, B8: 0, B9: 0, B10: 0\}$ * `result_50.json`: $\{B1: 0, B2: 10, B3: 4, B4: 19, B5: 1, B6: 0, B7: 0, B8: 0, B9: 0, B10: 0\}$ * `result_100.json`: $\{B1: 0, B2: 19, B3: 9, B4: 37, B5: 20, B6: 10, B7: 3, B8: 1, B9: 1, B10: 0\}$ Since this task involves complex calculation and output generation into specific files, I will use the `write` tool for each file.  INFO 2026-02-08T15:29:01 +9ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:01 +1ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:01 +33ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:01 +0ms service=bus type=session.status publishing INFO 2026-02-08T15:29:01 +0ms service=session.prompt step=1 sessionID=ses_3c22147a1ffeyy4O24eZTta5n6 loop INFO 2026-02-08T15:29:01 +8ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:01 +1ms service=bus type=session.updated publishing INFO 2026-02-08T15:29:01 +0ms service=bus type=session.diff publishing INFO 2026-02-08T15:29:01 +2ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:01 +0ms service=session.prompt status=started resolveTools INFO 2026-02-08T15:29:01 +3ms service=tool.registry status=started invalid INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started question INFO 2026-02-08T15:29:01 +1ms service=tool.registry status=started bash INFO 2026-02-08T15:29:01 +0ms service=bash-tool shell=/usr/bin/bash bash tool using shell INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started read INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started glob INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started grep INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started edit INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started write INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started task INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started webfetch INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started todowrite INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=started skill INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 invalid INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 question INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=0 read INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=0 glob INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=0 grep INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=0 edit INFO 2026-02-08T15:29:01 +1ms service=tool.registry status=completed duration=1 write INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 webfetch INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 todowrite INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 bash INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 skill INFO 2026-02-08T15:29:01 +0ms service=permission permission=task pattern=general ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"plan_enter","action":"deny","pattern":"*"},{"permission":"plan_exit","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"plan_enter","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate INFO 2026-02-08T15:29:01 +0ms service=permission permission=task pattern=explore ruleset=[{"permission":"*","action":"allow","pattern":"*"},{"permission":"doom_loop","action":"ask","pattern":"*"},{"permission":"external_directory","pattern":"*","action":"ask"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"},{"permission":"question","action":"deny","pattern":"*"},{"permission":"plan_enter","action":"deny","pattern":"*"},{"permission":"plan_exit","action":"deny","pattern":"*"},{"permission":"read","pattern":"*","action":"allow"},{"permission":"read","pattern":"*.env","action":"ask"},{"permission":"read","pattern":"*.env.*","action":"ask"},{"permission":"read","pattern":"*.env.example","action":"allow"},{"permission":"question","action":"allow","pattern":"*"},{"permission":"plan_enter","action":"allow","pattern":"*"},{"permission":"external_directory","pattern":"/home/cubbi/.local/share/opencode/tool-output/*","action":"allow"}] evaluate INFO 2026-02-08T15:29:01 +0ms service=tool.registry status=completed duration=1 task INFO 2026-02-08T15:29:01 +6ms service=session.prompt status=completed duration=11 resolveTools INFO 2026-02-08T15:29:01 +5ms service=session.processor process INFO 2026-02-08T15:29:01 +1ms service=llm providerID=openrouter modelID=google/gemini-2.5-flash-lite-preview-09-2025 sessionID=ses_3c22147a1ffeyy4O24eZTta5n6 small=false agent=build mode=primary stream INFO 2026-02-08T15:29:01 +22ms service=bus type=session.status publishing INFO 2026-02-08T15:29:02 +641ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:02 +1ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:02 +0ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:02 +34ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:02 +29ms service=bus type=message.part.updated publishing The three result files (`result_5.json`, `result_50.json`, `result_100.json`) have been created with the computed final money distributions.  INFO 2026-02-08T15:29:02 +2ms service=bus type=message.part.updated publishing INFO 2026-02-08T15:29:02 +0ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:02 +14ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:02 +1ms service=bus type=session.status publishing INFO 2026-02-08T15:29:02 +0ms service=session.prompt step=2 sessionID=ses_3c22147a1ffeyy4O24eZTta5n6 loop INFO 2026-02-08T15:29:02 +17ms service=bus type=message.updated publishing INFO 2026-02-08T15:29:02 +4ms service=bus type=session.updated publishing INFO 2026-02-08T15:29:02 +2ms service=bus type=session.diff publishing INFO 2026-02-08T15:29:02 +1ms service=session.prompt sessionID=ses_3c22147a1ffeyy4O24eZTta5n6 exiting loop INFO 2026-02-08T15:29:02 +1ms service=session.compaction pruning INFO 2026-02-08T15:29:02 +14ms service=session.prompt sessionID=ses_3c22147a1ffeyy4O24eZTta5n6 cancel INFO 2026-02-08T15:29:02 +0ms service=bus type=session.status publishing INFO 2026-02-08T15:29:02 +0ms service=bus type=session.idle publishing INFO 2026-02-08T15:29:02 +1ms service=default directory=/app/input disposing instance INFO 2026-02-08T15:29:02 +0ms service=state key=/app/input waiting for state disposal to complete INFO 2026-02-08T15:29:02 +4ms service=state key=/app/input state disposal completed --- Initial command finished (exit code: 0) --- --- no_shell=true, exiting container without starting shell --- Command execution complete. Container has exited. Session has been cleaned up.