Can you buy them all?

AtCoder

IDabc209_b

Time2000ms

Memory256MB

Difficulty—

Takahashi's shop sells $N$ products. The usual price of the $i$\-th product is $A_i$ yen (Japanese currency). It has a bargain sale today, with a discount of $1$ yen off the usual prices for the $2$\-nd, $4$\-th, and the subsequent even-indexed products. The $1$\-st, $3$\-rd, and the subsequent odd-indexed products are sold for their usual prices. You have $X$ yen. Can you buy all the $N$ products with this money? ## Constraints * $1 \leq N \leq 100$ * $1 \leq X \leq 10000$ * $1 \leq A_i \leq 100$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $X$ $A_1$ $A_2$ $\ldots$ $A_N$ [samples]

Samples

Input #1

2 3
1 3

Output #1

Yes

You can buy the $1$\-st product for $1$ yen and the $2$\-nd product for $2$ yen, $1$ yen off the usual price. You have just enough money, $3$ yen, to buy both of them.

Input #2

4 10
3 3 4 4

Output #2

No

You can buy these four products for $3$ yen, $2$ yen, $4$ yen, and $3$ yen, respectively. You need $12$ yen to buy all of them, and since you have only $10$ yen, you cannot buy all of them.

Input #3

8 30
3 1 4 1 5 9 2 6

Output #3

Yes

API Response (JSON)

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    "name": "Can you buy them all?",
    "description": {
      "content": "Takahashi's shop sells $N$ products. The usual price of the $i$\\-th product is $A_i$ yen (Japanese currency).   It has a bargain sale today, with a discount of $1$ yen off the usual prices for the $2$",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc209_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi's shop sells $N$ products. The usual price of the $i$\\-th product is $A_i$ yen (Japanese currency).  \nIt has a bargain sale today, with a discount of $1$ yen off the usual prices for the $2$...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments