test

Prompt

[SYSTEM: FORCE MAXIMUM ADAPTIVE REASONING / DEEP INTERNAL THINKING BLOCKS. DO NOT ATTEMPT SHORTCUTS. TRACE ALL LOGIC VERTICALLY AND STEP-BY-STEP.] Perform a full algorithmic execution, simulation, and analysis of a dynamic "Quantum Cellular Automaton Routing Network" (QCARN). You must execute this strictly step-by-step, validating the state of the network at every tick, and output the absolute exact, calculated final state. --- 1. THE GRID & RULES --- You are simulating a 4x4 coordinate system (Rows A-D, Columns 1-4). Each cell contains an integer energy state (initially 10) and an orientation direction vector: Up (▲), Down (▼), Left (◀), Right (▶). Initial Setup: - A1: 10, ▶ | A2: 10, ▼ | A3: 10, ◀ | A4: 10, ▲ - B1: 10, ▲ | B2: 10, ▶ | B3: 10, ▼ | B4: 10, ◀ - C1: 10, ◀ | C2: 10, ▲ | C3: 10, ▶ | C4: 10, ▼ - D1: 10, ▼ | D2: 10, ◀ | D3: 10, ▲ | D4: 10, ▶ --- 2. THE TICK UPDATE RULES (Executed simultaneously per tick) --- For every tick, every cell updates based on its current state and its neighbors' states from the PREVIOUS tick. Rule A (Energy Transfer): Each cell attempts to pass 40% of its current energy (rounded down to the nearest integer) to the target cell its vector points to. - If the vector points off the grid, that energy is lost to "vaccum decay" (subtracted from the cell, but added nowhere). - A cell simultaneously receives all energy targeted at it by neighboring cells in that same tick. Rule B (Vector Rotation): After energy transfer calculations are locked for the tick: - If a cell's net energy CHANGED (gained or lost) by an EVEN number (including 0 change), its vector rotates 90 degrees CLOCKWISE. - If a cell's net energy CHANGED by an ODD number, its vector rotates 90 degrees COUNTER-CLOCKWISE. Rule C (The Anomalies): - If any cell's energy drops to exactly 0 or below, it instantly flips its vector 180 degrees and gains a permanent static anchor (it can no longer rotate or pass energy, but it can still receive energy). - If any cell's energy exceeds 30, it triggers an "overload pulse" on the NEXT tick, distributing all energy above 30 evenly to its 4 orthogonal neighbors (fractional remnants remain in the host cell), and resets its vector to ▲. --- 3. YOUR MISSION (15 FULL TICKS) --- You must simulate exactly 15 full sequential Ticks. For your output to be valid, you cannot use "..." or skip any ticks. You must structure the response as follows: 1. COMPREHENSIVE THINKING PROCESS: For EVERY SINGLE TICK (1 through 15), explicitly write out the math calculations for all 16 cells. Show the exact energy subtracted, energy received from all sources, net change, odd/even determination, and new vector orientation. 2. INTERMEDIATE STATE TABLES: Display a Markdown table of the 4x4 grid layout showing "[Energy, Vector]" for every cell at Ticks 1, 5, 10, and 15. 3. INVARIANT CHECK: At Ticks 5, 10, and 15, calculate the TOTAL sum of energy remaining on the entire board and state exactly how much energy was lost to vacuum decay up to that point. 4. CRITICAL ANOMALY RECAP: Log every single time a cell triggers Rule C, noting the exact tick, cell coordinate, and consequence. Execute this with 100% precision. Double-check your arithmetic continuously to ensure the logic across all 15 ticks remains perfectly unbroken.