Choose Me

AtCoder

IDabc187_d

Time2000ms

Memory256MB

Difficulty—

AtCoder City will hold a mayoral election. The candidates are Aoki and Takahashi. The city consists of $N$ towns, the $i$\-th of which has $A_i$ pro-Aoki voters and $B_i$ pro-Takahashi voters. There are no other voters. Takahashi can make a speech in each town. If he makes a speech in some town, all voters in that town, pro-Takahashi or pro-Aoki, will vote for Takahashi. On the other hand, if he does not make a speech in some town, the pro-Aoki voters in that town will vote for Aoki, and the pro-Takahashi voters will not vote. To get more votes than Aoki, in how many towns does Takahashi need to make speeches at least? ## Constraints * All values in input are integers. * $1 \le N \le 2 \times 10^5$ * $1 \le A_i, B_i \le 10^9$ ## Input Input is given from Standard Input in the following format: $N$ $A_1$ $B_1$ $\vdots$ $A_N$ $B_N$ [samples]

Samples

Input #1

Output #1

1

After making a speech in the third town, Aoki and Takahashi will get $5$ and $6$ votes, respectively.

Input #2

Output #2

3

After making speeches in three towns, Aoki and Takahashi will get $4$ and $9$ votes, respectively.

Input #3

1
273 691

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Choose Me",
    "description": {
      "content": "AtCoder City will hold a mayoral election. The candidates are Aoki and Takahashi.   The city consists of $N$ towns, the $i$\\-th of which has $A_i$ pro-Aoki voters and $B_i$ pro-Takahashi voters. There",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc187_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "AtCoder City will hold a mayoral election. The candidates are Aoki and Takahashi.  \nThe city consists of $N$ towns, the $i$\\-th of which has $A_i$ pro-Aoki voters and $B_i$ pro-Takahashi voters. There...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments