[Typescript] 18. Medium - Deep Readonly

Implement a generic DeepReadonly<T> which make every parameter of an object - and its sub-objects recursively - readonly.

You can assume that we are only dealing with Objects in this challenge. Arrays, Functions, Classes and so on do not need to be taken into consideration. However, you can still challenge yourself by covering as many different cases as possible.

For example:

type X = { 
  x: { 
    a: 1
    b: 'hi'
  }
  y: 'hey'
}

type Expected = { 
  readonly x: { 
    readonly a: 1
    readonly b: 'hi'
  }
  readonly y: 'hey' 
}

type Todo = DeepReadonly<X> // should be same as `Expected`

/* _____________ Your Code Here _____________ */

type XP = string | number | boolean | ((...args: any[]) => any)
type DeepReadonly<T> = {
  readonly [P in keyof T]: T[P] extends XP
    ? T[P]
    : DeepReadonly<T[P]>
}


/* _____________ Test Cases _____________ */
import type { Equal, Expect } from '@type-challenges/utils'
type XX = {  a: () => 22
  b: string, d: ['key']}
type x = DeepReadonly<XX>
type cases = [
  Expect<Equal<DeepReadonly<X>, Expected>>,
]

type X = {
  a: () => 22
  b: string
  c: {
    d: boolean
    e: {
      g: {
        h: {
          i: true
          j: 'string'
        }
        k: 'hello'
      }
      l: [
        'hi',
        {
          m: ['hey']
        },
      ]
    }
  }
}

type Expected = {
  readonly a: () => 22
  readonly b: string
  readonly c: {
    readonly d: boolean
    readonly e: {
      readonly g: {
        readonly h: {
          readonly i: true
          readonly j: 'string'
        }
        readonly k: 'hello'
      }
      readonly l: readonly [
        'hi',
        {
          readonly m: readonly ['hey']
        },
      ]
    }
  }
}