json schema die

The below json schema should validate against these type of examples:

• straight numbers: 0, 1, 2
• simple die notation: 1d10, 3d6
• additions: 1d6+1
• multiplications: 1d6*3
• both combined: 1d6+1*10

{
    "$schema": "https://json-schema.org/draft/2020-12/schema",
    "id": "die.schema.json",
    "title": "die",
    "description": "A die or dice with modifiers.",
    "type": [ "integer", "string" ],
    "minimum": 0,
    "pattern": "^[0-9]+d(2|3|4|6|8|10|12|20|%)([+-\\\\*]?[0-9]*)*$"
}