Inverse of Permutation

AtCoder

IDabc217_c

Time2000ms

Memory256MB

Difficulty—

We will call a sequence of length $N$ where each of $1,2,\dots,N$ occurs once as a permutation of length $N$. Given a permutation of length $N$, $P = (p_1, p_2,\dots,p_N)$, print a permutation of length $N$, $Q = (q_1,\dots,q_N)$, that satisfies the following condition. * For every $i$ $(1 \leq i \leq N)$, the $p_i$\-th element of $Q$ is $i$. It can be proved that there exists a unique $Q$ that satisfies the condition. ## Constraints * $1 \leq N \leq 2 \times 10^5$ * $(p_1,p_2,\dots,p_N)$ is a permutation of length $N$ (defined in Problem Statement). * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $p_1$ $p_2$ $\dots$ $p_N$ [samples]

Samples

Input #1

3
2 3 1

Output #1

3 1 2

The permutation $Q=(3,1,2)$ satisfies the condition, as follows.

*   For $i = 1$, we have $p_i = 2, q_2 = 1$.
*   For $i = 2$, we have $p_i = 3, q_3 = 2$.
*   For $i = 3$, we have $p_i = 1, q_1 = 3$.

Input #2

3
1 2 3

Output #2

1 2 3

If $p_i = i$ for every $i$ $(1 \leq i \leq N)$, we will have $P = Q$.

Input #3

5
5 3 2 4 1

Output #3

5 3 2 4 1

API Response (JSON)

{
  "problem": {
    "name": "Inverse of Permutation",
    "description": {
      "content": "We will call a sequence of length $N$ where each of $1,2,\\dots,N$ occurs once as a permutation of length $N$.   Given a permutation of length $N$, $P = (p_1, p_2,\\dots,p_N)$, print a permutation of le",
      "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_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We will call a sequence of length $N$ where each of $1,2,\\dots,N$ occurs once as a permutation of length $N$.  \nGiven a permutation of length $N$, $P = (p_1, p_2,\\dots,p_N)$, print a permutation of le...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments