Ignore Operations

AtCoder

IDabc249_f

Time2000ms

Memory256MB

Difficulty—

Takahashi has an integer $x$. Initially, $x = 0$. There are $N$ operations. The $i$\-th operation $(1 \leq i \leq N)$ is represented by two integers $t_i$ and $y_i$ as follows: * If $t_i = 1$, replace $x$ with $y_i$. * If $t_i = 2$, replace $x$ with $x + y_i$. Takahashi may skip any number between $0$ and $K$ (inclusive) of the operations. When he performs the remaining operations once each without changing the order, find the maximum possible final value of $x$. ## Constraints * $1 \leq N \leq 2 \times 10^5$ * $0 \leq K \leq N$ * $t_i \in {1,2} \, (1 \leq i \leq N)$ * $|y_i| \leq 10^9 \, (1 \leq i \leq N)$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $K$ $t_1$ $y_1$ $\vdots$ $t_N$ $y_N$ [samples]

Samples

Input #1

Output #1

3

If he skips the $5$\-th operation, $x$ changes as $0 \rightarrow 4 \rightarrow 1 \rightarrow 2 \rightarrow 3$, so $x$ results in $3$. This is the maximum.

Input #2

1 0
2 -1000000000

Output #2

\-1000000000

Input #3

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Ignore Operations",
    "description": {
      "content": "Takahashi has an integer $x$. Initially, $x = 0$. There are $N$ operations. The $i$\\-th operation $(1 \\leq i \\leq N)$ is represented by two integers $t_i$ and $y_i$ as follows: *   If $t_i = 1$, repl",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc249_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi has an integer $x$. Initially, $x = 0$.\nThere are $N$ operations. The $i$\\-th operation $(1 \\leq i \\leq N)$ is represented by two integers $t_i$ and $y_i$ as follows:\n\n*   If $t_i = 1$, repl...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments