{
  "schema": "unitiqx.text-play.reference-solutions.v1",
  "id": "matrix-arcade-31",
  "generated_utc": "2026-10-11T04:48:43.073Z",
  "warning": "SPOILERS. Computed from game rules, not independent human or AI play; action-world tableau is illustrative.",
  "solutions": [
    {
      "id": "route:0",
      "world": "route",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "SSSSSNEENEENESSS",
      "path_length": 16,
      "path_directions": [
        "south",
        "south",
        "south",
        "south",
        "south",
        "north",
        "east",
        "east",
        "north",
        "east",
        "east",
        "north",
        "east",
        "south",
        "south",
        "south"
      ],
      "final_state": {
        "x": 5,
        "y": 5,
        "picked": [
          1,
          0
        ],
        "moves": 16,
        "blocked": false
      }
    },
    {
      "id": "route:1",
      "world": "route",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "ESSEENSSSWWEESEE",
      "path_length": 16,
      "path_directions": [
        "east",
        "south",
        "south",
        "east",
        "east",
        "north",
        "south",
        "south",
        "south",
        "west",
        "west",
        "east",
        "east",
        "south",
        "east",
        "east"
      ],
      "final_state": {
        "x": 5,
        "y": 5,
        "picked": [
          0,
          1
        ],
        "moves": 16,
        "blocked": false
      }
    },
    {
      "id": "route:2",
      "world": "route",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "EESSEENSWSSWWWEEEEES",
      "path_length": 20,
      "path_directions": [
        "east",
        "east",
        "south",
        "south",
        "east",
        "east",
        "north",
        "south",
        "west",
        "south",
        "south",
        "west",
        "west",
        "west",
        "east",
        "east",
        "east",
        "east",
        "east",
        "south"
      ],
      "final_state": {
        "x": 5,
        "y": 5,
        "picked": [
          0,
          1
        ],
        "moves": 20,
        "blocked": false
      }
    },
    {
      "id": "route:3",
      "world": "route",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "SSESWSSEEEEE",
      "path_length": 12,
      "path_directions": [
        "south",
        "south",
        "east",
        "south",
        "west",
        "south",
        "south",
        "east",
        "east",
        "east",
        "east",
        "east"
      ],
      "final_state": {
        "x": 5,
        "y": 5,
        "picked": [
          0,
          1
        ],
        "moves": 12,
        "blocked": false
      }
    },
    {
      "id": "route:4",
      "world": "route",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "SSSESNENNEEESSSS",
      "path_length": 16,
      "path_directions": [
        "south",
        "south",
        "south",
        "east",
        "south",
        "north",
        "east",
        "north",
        "north",
        "east",
        "east",
        "east",
        "south",
        "south",
        "south",
        "south"
      ],
      "final_state": {
        "x": 5,
        "y": 5,
        "picked": [
          1,
          0
        ],
        "moves": 16,
        "blocked": false
      }
    },
    {
      "id": "circuit:0",
      "world": "circuit",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": [
        {
          "tile": 5,
          "turns_clockwise": 3,
          "row": 2,
          "column": 1
        },
        {
          "tile": 6,
          "turns_clockwise": 0,
          "row": 2,
          "column": 2
        },
        {
          "tile": 7,
          "turns_clockwise": 1,
          "row": 2,
          "column": 3
        },
        {
          "tile": 8,
          "turns_clockwise": 2,
          "row": 2,
          "column": 4
        },
        {
          "tile": 12,
          "turns_clockwise": 2,
          "row": 3,
          "column": 4
        }
      ],
      "turns_total": 8
    },
    {
      "id": "circuit:1",
      "world": "circuit",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": [
        {
          "tile": 5,
          "turns_clockwise": 0,
          "row": 2,
          "column": 1
        },
        {
          "tile": 9,
          "turns_clockwise": 0,
          "row": 3,
          "column": 1
        },
        {
          "tile": 10,
          "turns_clockwise": 1,
          "row": 3,
          "column": 2
        },
        {
          "tile": 6,
          "turns_clockwise": 1,
          "row": 2,
          "column": 2
        },
        {
          "tile": 7,
          "turns_clockwise": 2,
          "row": 2,
          "column": 3
        },
        {
          "tile": 11,
          "turns_clockwise": 2,
          "row": 3,
          "column": 3
        },
        {
          "tile": 12,
          "turns_clockwise": 3,
          "row": 3,
          "column": 4
        }
      ],
      "turns_total": 9
    },
    {
      "id": "circuit:2",
      "world": "circuit",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": [
        {
          "tile": 5,
          "turns_clockwise": 1,
          "row": 2,
          "column": 1
        },
        {
          "tile": 1,
          "turns_clockwise": 1,
          "row": 1,
          "column": 1
        },
        {
          "tile": 2,
          "turns_clockwise": 2,
          "row": 1,
          "column": 2
        },
        {
          "tile": 6,
          "turns_clockwise": 2,
          "row": 2,
          "column": 2
        },
        {
          "tile": 10,
          "turns_clockwise": 2,
          "row": 3,
          "column": 2
        },
        {
          "tile": 11,
          "turns_clockwise": 3,
          "row": 3,
          "column": 3
        },
        {
          "tile": 7,
          "turns_clockwise": 3,
          "row": 2,
          "column": 3
        },
        {
          "tile": 8,
          "turns_clockwise": 0,
          "row": 2,
          "column": 4
        },
        {
          "tile": 12,
          "turns_clockwise": 0,
          "row": 3,
          "column": 4
        }
      ],
      "turns_total": 14
    },
    {
      "id": "circuit:3",
      "world": "circuit",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": [
        {
          "tile": 5,
          "turns_clockwise": 2,
          "row": 2,
          "column": 1
        },
        {
          "tile": 6,
          "turns_clockwise": 3,
          "row": 2,
          "column": 2
        },
        {
          "tile": 2,
          "turns_clockwise": 3,
          "row": 1,
          "column": 2
        },
        {
          "tile": 3,
          "turns_clockwise": 0,
          "row": 1,
          "column": 3
        },
        {
          "tile": 7,
          "turns_clockwise": 0,
          "row": 2,
          "column": 3
        },
        {
          "tile": 11,
          "turns_clockwise": 0,
          "row": 3,
          "column": 3
        },
        {
          "tile": 12,
          "turns_clockwise": 1,
          "row": 3,
          "column": 4
        }
      ],
      "turns_total": 9
    },
    {
      "id": "circuit:4",
      "world": "circuit",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": [
        {
          "tile": 5,
          "turns_clockwise": 3,
          "row": 2,
          "column": 1
        },
        {
          "tile": 9,
          "turns_clockwise": 3,
          "row": 3,
          "column": 1
        },
        {
          "tile": 13,
          "turns_clockwise": 3,
          "row": 4,
          "column": 1
        },
        {
          "tile": 14,
          "turns_clockwise": 0,
          "row": 4,
          "column": 2
        },
        {
          "tile": 10,
          "turns_clockwise": 0,
          "row": 3,
          "column": 2
        },
        {
          "tile": 6,
          "turns_clockwise": 0,
          "row": 2,
          "column": 2
        },
        {
          "tile": 2,
          "turns_clockwise": 0,
          "row": 1,
          "column": 2
        },
        {
          "tile": 3,
          "turns_clockwise": 1,
          "row": 1,
          "column": 3
        },
        {
          "tile": 4,
          "turns_clockwise": 2,
          "row": 1,
          "column": 4
        },
        {
          "tile": 8,
          "turns_clockwise": 2,
          "row": 2,
          "column": 4
        },
        {
          "tile": 12,
          "turns_clockwise": 2,
          "row": 3,
          "column": 4
        }
      ],
      "turns_total": 16
    },
    {
      "id": "cipher:0",
      "world": "cipher",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "204"
    },
    {
      "id": "cipher:1",
      "world": "cipher",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "531"
    },
    {
      "id": "cipher:2",
      "world": "cipher",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "142"
    },
    {
      "id": "cipher:3",
      "world": "cipher",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "350"
    },
    {
      "id": "cipher:4",
      "world": "cipher",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "423"
    },
    {
      "id": "pattern:0",
      "world": "pattern",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": 32,
      "why": "Multiply by 2 every step: 2, 4, 8, 16, 32."
    },
    {
      "id": "pattern:1",
      "world": "pattern",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": 27,
      "why": "The gaps grow by 2: +3, +5, +7, +9."
    },
    {
      "id": "pattern:2",
      "world": "pattern",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": 8,
      "why": "Each number is the sum of the previous two."
    },
    {
      "id": "pattern:3",
      "world": "pattern",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": 25,
      "why": "These are consecutive perfect squares: 1², 2², 3², 4², 5²."
    },
    {
      "id": "pattern:4",
      "world": "pattern",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": 17,
      "why": "The changes are +1, +2, +3, +4, so the next is +5."
    },
    {
      "id": "balance:0",
      "world": "balance",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": {
        "power": 2,
        "coolant": 2,
        "bandwidth": 5
      },
      "metrics": {
        "cost": 16,
        "throughput": 12,
        "heat": 0,
        "resilience": 7
      }
    },
    {
      "id": "balance:1",
      "world": "balance",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": {
        "power": 2,
        "coolant": 2,
        "bandwidth": 6
      },
      "metrics": {
        "cost": 18,
        "throughput": 14,
        "heat": 0,
        "resilience": 8
      }
    },
    {
      "id": "balance:2",
      "world": "balance",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": {
        "power": 2,
        "coolant": 2,
        "bandwidth": 7
      },
      "metrics": {
        "cost": 20,
        "throughput": 16,
        "heat": 0,
        "resilience": 9
      }
    },
    {
      "id": "balance:3",
      "world": "balance",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": {
        "power": 2,
        "coolant": 2,
        "bandwidth": 5
      },
      "metrics": {
        "cost": 16,
        "throughput": 12,
        "heat": 0,
        "resilience": 7
      }
    },
    {
      "id": "balance:4",
      "world": "balance",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": {
        "power": 2,
        "coolant": 2,
        "bandwidth": 8
      },
      "metrics": {
        "cost": 22,
        "throughput": 18,
        "heat": 0,
        "resilience": 10
      }
    },
    {
      "id": "defense:0",
      "world": "defense",
      "stage": 1,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "MOVE_LEFT",
      "why": "Creating space preserves a safe route before collecting the objective."
    },
    {
      "id": "defense:1",
      "world": "defense",
      "stage": 2,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "PERIMETER",
      "why": "Spatial planning and open escape lanes matter when your error budget is small."
    },
    {
      "id": "defense:2",
      "world": "defense",
      "stage": 3,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "WAIT_GAP",
      "why": "Observe motion, then move through a verified gap."
    },
    {
      "id": "defense:3",
      "world": "defense",
      "stage": 4,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "INWARD",
      "why": "Avoid trapping your future choices along hard boundaries."
    },
    {
      "id": "defense:4",
      "world": "defense",
      "stage": 5,
      "origin": "computed-from-real-game-rule-engine; not an observed AI/human run",
      "accepted_example": "ESCAPE_ARC",
      "why": "Combining situational awareness, speed and an exit plan reduces risk."
    },
    {
      "id": "final:0",
      "world": "final",
      "stage": 1,
      "accepted_example": "729416",
      "origin": "engine-generated endgame code"
    }
  ]
}