Summer Vacation

AtCoder
IDabc137_d
Time2000ms
Memory256MB
Difficulty
There are $N$ one-off jobs available. If you take the $i$\-th job and complete it, you will earn the reward of $B_i$ after $A_i$ days from the day you do it. You can take and complete at most one of these jobs in a day. However, you cannot retake a job that you have already done. Find the maximum total reward that you can earn no later than $M$ days from today. You can already start working today. ## Constraints * All values in input are integers. * $1 \leq N \leq 10^5$ * $1 \leq M \leq 10^5$ * $1 \leq A_i \leq 10^5$ * $1 \leq B_i \leq 10^4$ ## Input Input is given from Standard Input in the following format: $N$ $M$ $A_1$ $B_1$ $A_2$ $B_2$ $\vdots$ $A_N$ $B_N$ [samples]
Samples
Input #1
3 4
4 3
4 1
2 2
Output #1
5

You can earn the total reward of $5$ by taking the jobs as follows:

*   Take and complete the first job today. You will earn the reward of $3$ after four days from today.
*   Take and complete the third job tomorrow. You will earn the reward of $2$ after two days from tomorrow, that is, after three days from today.
Input #2
5 3
1 2
1 3
1 4
2 1
2 3
Output #2
10
Input #3
1 1
2 1
Output #3
0
API Response (JSON)
{
  "problem": {
    "name": "Summer Vacation",
    "description": {
      "content": "There are $N$ one-off jobs available. If you take the $i$\\-th job and complete it, you will earn the reward of $B_i$ after $A_i$ days from the day you do it. You can take and complete at most one of 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": "abc137_d"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ one-off jobs available. If you take the $i$\\-th job and complete it, you will earn the reward of $B_i$ after $A_i$ days from the day you do it.\nYou can take and complete at most one of t...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
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