Hit and Blow

AtCoder

IDabc243_b

Time2000ms

Memory256MB

Difficulty—

You are given integer sequences, each of length $N$: $A = (A_1, A_2, \dots, A_N)$ and $B = (B_1, B_2, \dots, B_N)$. All elements of $A$ are different. All elements of $B$ are different, too. Print the following two values. 1. The number of integers contained in both $A$ and $B$, appearing at the same position in the two sequences. In other words, the number of integers $i$ such that $A_i = B_i$. 2. The number of integers contained in both $A$ and $B$, appearing at different positions in the two sequences. In other words, the number of pairs of integers $(i, j)$ such that $A_i = B_j$ and $i \neq j$. ## Constraints * $1 \leq N \leq 1000$ * $1 \leq A_i \leq 10^9$ * $1 \leq B_i \leq 10^9$ * $A_1, A_2, \dots, A_N$ are all different. * $B_1, B_2, \dots, B_N$ are all different. * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $A_1$ $A_2$ $\dots$ $A_N$ $B_1$ $B_2$ $\dots$ $B_N$ [samples]

Samples

Input #1

4
1 3 5 2
2 3 1 4

Output #1

1
2

There is one integer contained in both $A$ and $B$, appearing at the same position in the two sequences: $A_2 = B_2 = 3$.  
There are two integers contained in both $A$ and $B$, appearing at different positions in the two sequences: $A_1 = B_3 = 1$ and $A_4 = B_1 = 2$.

Input #2

3
1 2 3
4 5 6

Output #2

0
0

In both `1.` and `2.`, no integer satisfies the condition.

Input #3

7
4 8 1 7 9 5 6
3 5 1 7 8 2 6

Output #3

3
2

API Response (JSON)

{
  "problem": {
    "name": "Hit and Blow",
    "description": {
      "content": "You are given integer sequences, each of length $N$: $A = (A_1, A_2, \\dots, A_N)$ and $B = (B_1, B_2, \\dots, B_N)$.   All elements of $A$ are different. All elements of $B$ are different, too. Print 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": "abc243_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given integer sequences, each of length $N$: $A = (A_1, A_2, \\dots, A_N)$ and $B = (B_1, B_2, \\dots, B_N)$.  \nAll elements of $A$ are different. All elements of $B$ are different, too.\nPrint t...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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