B. Ugly Number

{
  "problem": {
    "name": "B. Ugly Number",
    "description": {
      "content": "A k-cyclic shift of an integer x is a function that removes the last k digits of x and inserts them in its beginning. For example, the k-cyclic shifts of 123 are 312 for k = 1 and 231 for k = 2. Teo,",
      "description_type": "Markdown"
    },
    "platform": "Codeforces",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "CF10187B"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "A k-cyclic shift of an integer x is a function that removes the last k digits of x and inserts them in its beginning. For example, the k-cyclic shifts of 123 are 312 for k = 1 and 231 for k = 2.\n\nTeo,...",
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      "language": "English"
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    {
      "statement_type": "Markdown",
      "content": "**Definitions**  \nLet $ N \\in \\mathbb{Z}^+ $ be the number of verses.  \nLet $ L = (\\ell_1, \\ell_2, \\dots, \\ell_N) $ be a sequence of positive integers representing verse sizes.  \n\nFor $ K \\in \\mathbb{...",
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