{
  "schema_version": "1.0.0",
  "paper_id": "QP-SYS-003",
  "description": "Independent synthetic model vectors, not native backend outputs",
  "cases": [
    {
      "id": "SYS003-T01",
      "kind": "hexagram",
      "input": {
        "lines": [
          7,
          7,
          7,
          7,
          7,
          7
        ]
      },
      "expected": {
        "bits": 63,
        "moving_mask": 0,
        "changed_bits": 63,
        "nuclear_bits": 63,
        "opposite_bits": 0,
        "inverse_bits": 63
      }
    },
    {
      "id": "SYS003-T02",
      "kind": "hexagram",
      "input": {
        "lines": [
          8,
          8,
          8,
          8,
          8,
          8
        ]
      },
      "expected": {
        "bits": 0,
        "moving_mask": 0,
        "changed_bits": 0,
        "nuclear_bits": 0,
        "opposite_bits": 63,
        "inverse_bits": 0
      }
    },
    {
      "id": "SYS003-T03",
      "kind": "hexagram",
      "input": {
        "lines": [
          6,
          7,
          8,
          9,
          6,
          9
        ]
      },
      "expected": {
        "bits": 42,
        "moving_mask": 57,
        "changed_bits": 19,
        "nuclear_bits": 21,
        "opposite_bits": 21,
        "inverse_bits": 21
      }
    },
    {
      "id": "SYS003-T04",
      "kind": "hash",
      "input": {
        "question": ""
      },
      "expected": 0
    },
    {
      "id": "SYS003-T05",
      "kind": "hash",
      "input": {
        "question": "abc"
      },
      "expected": 4213142463398924266
    },
    {
      "id": "SYS003-T06",
      "kind": "hash",
      "input": {
        "question": "Hỏi về công việc"
      },
      "expected": 1492763883332278538
    },
    {
      "id": "SYS003-T07",
      "kind": "hash",
      "input": {
        "question": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"
      },
      "expected": 3698644573408397640
    },
    {
      "id": "SYS003-T08",
      "kind": "hash",
      "input": {
        "question": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"
      },
      "expected": 9214458289560013677
    },
    {
      "id": "SYS003-T09",
      "kind": "bian",
      "input": {
        "stalks": 49,
        "left": 12
      },
      "expected": {
        "removed": 9,
        "remain": 40
      }
    },
    {
      "id": "SYS003-T10",
      "kind": "bian",
      "input": {
        "stalks": 49,
        "left": 13
      },
      "expected": {
        "removed": 5,
        "remain": 44
      }
    },
    {
      "id": "SYS003-T11",
      "kind": "bian",
      "input": {
        "stalks": 44,
        "left": 12
      },
      "expected": {
        "removed": 8,
        "remain": 36
      }
    },
    {
      "id": "SYS003-T12",
      "kind": "bian",
      "input": {
        "stalks": 36,
        "left": 10
      },
      "expected": {
        "removed": 4,
        "remain": 32
      }
    }
  ]
}