Online games

AtCoder

IDabc221_d

Time2000ms

Memory256MB

Difficulty—

There is an online game with $N$ registered players. Today, which is the $10^{100}$\-th day since its launch, the developer Takahashi examined the users' login history. It turned out that the $i$\-th player logged in for $B_i$ consecutive days from Day $A_i$, where Day $1$ is the launch day, and did not log in for the other days. In other words, the $i$\-th player logged in on Day $A_i$, $A_i+1$, $\ldots$, $A_i+B_i-1$, and only on those days. For each integer $k$ such that $1\leq k\leq N$, find the number of days on which exactly $k$ players logged in. ## Constraints * $1 \leq N \leq 2\times 10^5$ * $1 \leq A_i \leq 10^9$ * $1 \leq B_i \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $A_1$ $B_1$ $A_2$ $B_2$ $:$ $A_N$ $B_N$ [samples]

Samples

Input #1

Output #1

2 2 0

The first player logged in on Day $1$, $2$, the second player logged in on Day $2$, $3$, $4$, and the third player logged in on Day $3$ only.
Thus, we can see that Day $1$, $4$ had $1$ player logged in, Day $2$, $3$ had $2$ players logged in, and the other days had no players logged in.
The answer is: there were $2$ days with exactly $1$ player logged in, $2$ days with exactly $2$ players logged in, and $0$ days with exactly $3$ players logged in.

Input #2

2
1000000000 1000000000
1000000000 1000000000

Output #2

0 1000000000

There may be two or more players who logged in during the same period.

API Response (JSON)

{
  "problem": {
    "name": "Online games",
    "description": {
      "content": "There is an online game with $N$ registered players.   Today, which is the $10^{100}$\\-th day since its launch, the developer Takahashi examined the users' login history. It turned out that the $i$\\-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": "abc221_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There is an online game with $N$ registered players.  \nToday, which is the $10^{100}$\\-th day since its launch, the developer Takahashi examined the users' login history. It turned out that the $i$\\-t...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments