#P1257C. Dominated Subarray
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ID: 5071
Type: RemoteJudge
2000ms
256MiB
Tried: 0
Accepted: 0
Difficulty: (None)
Uploaded By:
Hydro
Tags> Dominated Subarray
No submission language available for this problem.
Description
Let's call an array $t$ dominated by value $v$ in the next situation.
At first, array $t$ should have at least $2$ elements. Now, let's calculate number of occurrences of each number $num$ in $t$ and define it as $occ(num)$. Then $t$ is dominated (by $v$) if (and only if) $occ(v) > occ(v')$ for any other number $v'$. For example, arrays $[1, 2, 3, 4, 5, 2]$, $[11, 11]$ and $[3, 2, 3, 2, 3]$ are dominated (by $2$, $11$ and $3$ respectevitely) but arrays $[3]$, $[1, 2]$ and $[3, 3, 2, 2, 1]$ are not.
Small remark: since any array can be dominated only by one number, we can not specify this number and just say that array is either dominated or not.
You are given array $a_1, a_2, \dots, a_n$. Calculate its shortest dominated subarray or say that there are no such subarrays.
The subarray of $a$ is a contiguous part of the array $a$, i. e. the array $a_i, a_{i + 1}, \dots, a_j$ for some $1 \le i \le j \le n$.
The first line contains single integer $T$ ($1 \le T \le 1000$) — the number of test cases. Each test case consists of two lines.
The first line contains single integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the length of the array $a$.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le n$) — the corresponding values of the array $a$.
It's guaranteed that the total length of all arrays in one test doesn't exceed $2 \cdot 10^5$.
Print $T$ integers — one per test case. For each test case print the only integer — the length of the shortest dominated subarray, or $-1$ if there are no such subarrays.
Input
The first line contains single integer $T$ ($1 \le T \le 1000$) — the number of test cases. Each test case consists of two lines.
The first line contains single integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the length of the array $a$.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le n$) — the corresponding values of the array $a$.
It's guaranteed that the total length of all arrays in one test doesn't exceed $2 \cdot 10^5$.
Output
Print $T$ integers — one per test case. For each test case print the only integer — the length of the shortest dominated subarray, or $-1$ if there are no such subarrays.
Samples
4
1
1
6
1 2 3 4 5 1
9
4 1 2 4 5 4 3 2 1
4
3 3 3 3
-1
6
3
2
Note
In the first test case, there are no subarrays of length at least $2$, so the answer is $-1$.
In the second test case, the whole array is dominated (by $1$) and it's the only dominated subarray.
In the third test case, the subarray $a_4, a_5, a_6$ is the shortest dominated subarray.
In the fourth test case, all subarrays of length more than one are dominated.