Wrapping Chocolate

AtCoder

IDabc245_e

Time4000ms

Memory256MB

Difficulty—

Takahashi has $N$ pieces of chocolate. The $i$\-th piece has a rectangular shape with a width of $A_i$ centimeters and a length of $B_i$ centimeters. He also has $M$ boxes. The $i$\-th box has a rectangular shape with a width of $C_i$ centimeters and a length of $D_i$ centimeters. Determine whether it is possible to put the $N$ pieces of chocolate in the boxes under the conditions below. * A box can contain at most one piece of chocolate. * $A_i \leq C_j$ and $B_i \leq D_j$ must hold when putting the $i$\-th piece of chocolate in the $j$\-th box (they cannot be rotated). ## Constraints * $1 \leq N \leq M \leq 2\times 10^5$ * $1 \leq A_i,B_i,C_i,D_i \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $M$ $A_1$ $\ldots$ $A_N$ $B_1$ $\ldots$ $B_N$ $C_1$ $\ldots$ $C_M$ $D_1$ $\ldots$ $D_M$ [samples]

Samples

Input #1

Output #1

Yes

We can put the first piece of chocolate in the third box and the second piece in the first box.

Input #2

Output #2

No

A box can contain at most one piece of chocolate.

Input #3

Output #3

No

Input #4

Output #4

Yes

API Response (JSON)

{
  "problem": {
    "name": "Wrapping Chocolate",
    "description": {
      "content": "Takahashi has $N$ pieces of chocolate. The $i$\\-th piece has a rectangular shape with a width of $A_i$ centimeters and a length of $B_i$ centimeters.   He also has $M$ boxes. The $i$\\-th box has a rec",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 4000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc245_e"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi has $N$ pieces of chocolate. The $i$\\-th piece has a rectangular shape with a width of $A_i$ centimeters and a length of $B_i$ centimeters.  \nHe also has $M$ boxes. The $i$\\-th box has a rec...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments