Ideal Holidays

AtCoder

IDabc347_c

Time2000ms

Memory256MB

Difficulty—

In the Kingdom of AtCoder, a week consists of $A+B$ days, with the first through $A$\-th days being holidays and the $(A+1)$\-th through $(A+B)$\-th being weekdays. Takahashi has $N$ plans, and the $i$\-th plan is scheduled $D_i$ days later. He has forgotten what day of the week it is today. Determine if it is possible for all of his $N$ plans to be scheduled on holidays. ## Constraints * $1\leq N\leq 2\times 10^5$ * $1\leq A,B\leq 10^9$ * $1\leq D_1<D_2<\ldots<D_N\leq 10^9$ ## Input The input is given from Standard Input in the following format: $N$ $A$ $B$ $D_1$ $D_2$ $\ldots$ $D_N$ [samples]

Samples

Input #1

3 2 5
1 2 9

Output #1

Yes

In this input, a week consists of seven days, with the first through second days being holidays and the third through seventh days being weekdays.
Let us assume today is the seventh day of the week. In this case, one day later would be the first day of the week, two days later would be the second day of the week, and nine days later would also be the second day of the week, making all plans scheduled on holidays. Therefore, it is possible for all of Takahashi's $N$ plans to be scheduled on holidays.

Input #2

2 5 10
10 15

Output #2

No

Input #3

4 347 347
347 700 705 710

Output #3

Yes

API Response (JSON)

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  "problem": {
    "name": "Ideal Holidays",
    "description": {
      "content": "In the Kingdom of AtCoder, a week consists of $A+B$ days, with the first through $A$\\-th days being holidays and the $(A+1)$\\-th through $(A+B)$\\-th being weekdays. Takahashi has $N$ plans, and the $i",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc347_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "In the Kingdom of AtCoder, a week consists of $A+B$ days, with the first through $A$\\-th days being holidays and the $(A+1)$\\-th through $(A+B)$\\-th being weekdays.\nTakahashi has $N$ plans, and the $i...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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