Least Elements

AtCoder

IDabc281_e

Time2000ms

Memory256MB

Difficulty—

You are given an integer sequence $A = (A_1, \dots, A_N)$ of length $N$, and integers $M$ and $K$. For each $i = 1, \dots, N - M + 1$, solve the following independent problem. > Find the sum of the first $K$ values in the sorted list of the $M$ integers $A_i, A_{i + 1}, \dots, A_{i + M - 1}$ in ascending order. ## Constraints * $1 \leq K \leq M \leq N \leq 2 \times 10^5$ * $1 \leq A_i \leq 10^9$ * All values in the input are integers. ## Input The input is given from Standard Input in the following format: $N$ $M$ $K$ $A_1$ $A_2$ $\ldots$ $A_N$ [samples]

Samples

Input #1

6 4 3
3 1 4 1 5 9

Output #1

5 6 10

*   For $i = 1$, sorting $A_i, A_{i+1}, A_{i+2}, A_{i+3}$ in ascending order yields $1, 1, 3, 4$, where the sum of the first three values is $5$.
*   For $i = 2$, sorting $A_i, A_{i+1}, A_{i+2}, A_{i+3}$ in ascending order yields $1, 1, 4, 5$, where the sum of the first three values is $6$.
*   For $i = 3$, sorting $A_i, A_{i+1}, A_{i+2}, A_{i+3}$ in ascending order yields $1, 4, 5, 9$, where the sum of the first three values is $10$.

Input #2

10 6 3
12 2 17 11 19 8 4 3 6 20

Output #2

21 14 15 13 13

API Response (JSON)

{
  "problem": {
    "name": "Least Elements",
    "description": {
      "content": "You are given an integer sequence $A = (A_1, \\dots, A_N)$ of length $N$, and integers $M$ and $K$.   For each $i = 1, \\dots, N - M + 1$, solve the following independent problem. > Find the sum of the",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc281_e"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given an integer sequence $A = (A_1, \\dots, A_N)$ of length $N$, and integers $M$ and $K$.  \nFor each $i = 1, \\dots, N - M + 1$, solve the following independent problem.\n\n> Find the sum of the...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments