Candy Distribution Again

AtCoder

IDagc027_a

Time2000ms

Memory256MB

Difficulty—

There are $N$ children, numbered $1, 2, ..., N$. Snuke has decided to distribute $x$ sweets among them. He needs to give out all the $x$ sweets, but some of the children may get zero sweets. For each $i$ ($1 \leq i \leq N$), Child $i$ will be _happy_ if he/she gets exactly $a_i$ sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children. ## Constraints * All values in input are integers. * $2 \leq N \leq 100$ * $1 \leq x \leq 10^9$ * $1 \leq a_i \leq 10^9$ ## Input Input is given from Standard Input in the following format: $N$ $x$ $a_1$ $a_2$ $...$ $a_N$ [samples]

Samples

Input #1

3 70
20 30 10

Output #1

2

One optimal way to distribute sweets is $(20, 30, 20)$.

Input #2

3 10
20 30 10

Output #2

1

The optimal way to distribute sweets is $(0, 0, 10)$.

Input #3

4 1111
1 10 100 1000

Output #3

4

The optimal way to distribute sweets is $(1, 10, 100, 1000)$.

Input #4

2 10
20 20

Output #4

0

No children will be happy, no matter how the sweets are distributed.

API Response (JSON)

{
  "problem": {
    "name": "Candy Distribution Again",
    "description": {
      "content": "There are $N$ children, numbered $1, 2, ..., N$. Snuke has decided to distribute $x$ sweets among them. He needs to give out all the $x$ sweets, but some of the children may get zero sweets. For each ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "agc027_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ children, numbered $1, 2, ..., N$.\nSnuke has decided to distribute $x$ sweets among them. He needs to give out all the $x$ sweets, but some of the children may get zero sweets.\nFor each ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments