Strange Lunchbox

AtCoder

IDabc219_d

Time2000ms

Memory256MB

Difficulty—

A shop sells $N$ kinds of lunchboxes, one for each kind. For each $i = 1, 2, \ldots, N$, the $i$\-th kind of lunchbox contains $A_i$ takoyaki (octopus balls) and $B_i$ taiyaki (fish-shaped cakes). Takahashi wants to eat $X$ or more takoyaki and $Y$ or more taiyaki. Determine whether it is possible to buy some number of lunchboxes to get at least $X$ takoyaki and at least $Y$ taiyaki. If it is possible, find the minimum number of lunchboxes that Takahashi must buy to get them. Note that just one lunchbox is in stock for each kind; you cannot buy two or more lunchboxes of the same kind. ## Constraints * $1 \leq N \leq 300$ * $1 \leq X, Y \leq 300$ * $1 \leq A_i, B_i \leq 300$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $X$ $Y$ $A_1$ $B_1$ $A_2$ $B_2$ $\vdots$ $A_N$ $B_N$ [samples]

Samples

Input #1

Output #1

2

He wants to eat $5$ or more takoyaki and $6$ or more taiyaki.  
Buying the second and third lunchboxes will get him $3 + 2 = 5$ taiyaki and $4 + 3 = 7$ taiyaki.

Input #2

Output #2

\-1

Even if he is to buy every lunchbox, it is impossible to get at least $8$ takoyaki and at least $8$ taiyaki.  
Thus, print $-1$.

API Response (JSON)

{
  "problem": {
    "name": "Strange Lunchbox",
    "description": {
      "content": "A shop sells $N$ kinds of lunchboxes, one for each kind.   For each $i = 1, 2, \\ldots, N$, the $i$\\-th kind of lunchbox contains $A_i$ takoyaki (octopus balls) and $B_i$ taiyaki (fish-shaped cakes). T",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc219_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "A shop sells $N$ kinds of lunchboxes, one for each kind.  \nFor each $i = 1, 2, \\ldots, N$, the $i$\\-th kind of lunchbox contains $A_i$ takoyaki (octopus balls) and $B_i$ taiyaki (fish-shaped cakes).\nT...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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