Histogram

AtCoder

IDabc228_h

Time2000ms

Memory256MB

Difficulty—

Given are integer sequences of length $N$ each: $A = (A_1, \dots, A_N)$ and $C = (C_1, \dots, C_N)$. You can do the following operation any number of times, possibly zero. * Choose an integer $i$ such that $1 \leq i \leq N$ and add $1$ to the value of $A_i$, for a cost of $C_i$ yen (Japanese currency). After you are done with the operation, you have to pay $K \times X$ yen, where $K$ is the number of different values among the elements of $A$. What is the minimum total amount of money you have to pay? ## Constraints * $1 \leq N \leq 2 \times 10^5$ * $1 \leq X \leq 10^6$ * $1 \leq A_i, C_i \leq 10^6 \, (1 \leq i \leq N)$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $X$ $A_1$ $C_1$ $\vdots$ $A_N$ $C_N$ [samples]

Samples

Input #1

Output #1

12

After adding $1$ to $A_1$, there will be two different values among the elements of $A$, for a total cost of $C_1 + 2 \times X = 12$ yen. It is impossible to make the total cost less than this.

Input #2

1 1
1 1

Output #2

Input #3

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Histogram",
    "description": {
      "content": "Given are integer sequences of length $N$ each: $A = (A_1, \\dots, A_N)$ and $C = (C_1, \\dots, C_N)$. You can do the following operation any number of times, possibly zero. *   Choose an integer $i$ s",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc228_h"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Given are integer sequences of length $N$ each: $A = (A_1, \\dots, A_N)$ and $C = (C_1, \\dots, C_N)$.\nYou can do the following operation any number of times, possibly zero.\n\n*   Choose an integer $i$ s...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments