Cutting Woods

AtCoder

IDabc217_d

Time2000ms

Memory256MB

Difficulty—

We have a long piece of timber with a length of $L$ meters. For each $x = 1, 2, \dots, L - 1$, there is a mark called Mark $x$ at $x$ meters from the left end of the piece. You are given $Q$ queries, the $i$\-th of which is represented as a pair of numbers $(c_i, x_i)$. Process the queries in ascending order of $i$ as described below. * If $c_i = 1$: cut the piece at Mark $x_i$ into two. * If $c_i = 2$: choose the piece with Mark $x_i$ on it and print its length. Here, for both kinds of queries $c_i = 1, 2$, it is guaranteed that there will have been no cut at Mark $x_i$ when the query is to be processed. ## Constraints * $1 \leq L \leq 10^9$ * $1 \leq Q \leq 2 \times 10^5$ * $c_i = 1, 2$ $(1 \leq i \leq Q)$ * $1 \leq x_i \leq L - 1$ $(1 \leq i \leq Q)$ * For every $i$ $(1 \leq i \leq Q)$, the following holds: there is no $j$ such that $1 \leq j \lt i$ and $(c_j,x_j) = (1, x_i)$. * All values in input are integers. ## Input Input is given from Standard Input in the following format: $L$ $Q$ $c_1$ $x_1$ $c_2$ $x_2$ $\vdots$ $c_Q$ $x_Q$ [samples]

Samples

Input #1

Output #1

5
3

At the time of the first query, no cut has been made, so the piece with Mark $2$ has a length of $5$ meters. Thus, you should print $5$.  
In the second query, the piece is cut into two pieces with lengths of $3$ and $2$ meters.  
At the time of the third query, the piece with Mark $2$ has a length of $3$ meters, so you should print $3$.

Input #2

Output #2

Input #3

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Cutting Woods",
    "description": {
      "content": "We have a long piece of timber with a length of $L$ meters.   For each $x = 1, 2, \\dots, L - 1$, there is a mark called Mark $x$ at $x$ meters from the left end of the piece. You are given $Q$ queries",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc217_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We have a long piece of timber with a length of $L$ meters.  \nFor each $x = 1, 2, \\dots, L - 1$, there is a mark called Mark $x$ at $x$ meters from the left end of the piece.\nYou are given $Q$ queries...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments