#include <bits/stdc++.h>
using namespace std;
const long double pi = acos((long double)-1);
void in(initializer_list<int *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%d", *ptr);
}
void in(initializer_list<long long *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%lld", *ptr);
}
void in(initializer_list<double *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%lf", *ptr);
}
void out(initializer_list<int> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%d ", *ptr);
}
void outln(initializer_list<int> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%d\n", *ptr);
}
void out(initializer_list<long long> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%lld ", *ptr);
}
void outln(initializer_list<long long> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%lld\n", *ptr);
}
int in(int &a, int &b, int &c, int &d) {
  return scanf("%d%d%d%d", &a, &b, &c, &d);
}
int in(int &a, int &b, int &c) { return scanf("%d%d%d", &a, &b, &c); }
int in(int &a, int &b) { return scanf("%d%d", &a, &b); }
int in(long long &a, long long &b) { return scanf("%lld%lld", &a, &b); }
int in(long long &a, long long &b, long long &c, long long &d) {
  return scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
}
int in(long long &a, long long &b, long long &c) {
  return scanf("%lld%lld%lld", &a, &b, &c);
}
int in(long long &a) { return scanf("%lld", &a); }
int in(int &a) { return scanf("%d", &a); }
int in(char *s) { return scanf("%s", s); }
int in(char &c) { return scanf("%c", &c); }
void out(int a, bool ln) { printf("%d%c", a, " \n"[ln]); }
void out(long long a, bool ln) { printf("%lld%c", a, " \n"[ln]); }
void out(double a, int digit, bool ln) {
  printf("%.*f%c", digit, a, " \n"[ln]);
}
long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
const int inf = 0x3f3f3f3f;
const double eps = 1e-8;
const int maxn = 1e6 + 5;
const int maxm = 1e6 + 5;
const long long mod = 1e9 + 7;
int a[maxn], b[maxn];
int main() {
  int TT;
  scanf("%d", &TT);
  for (int TTT = 1; TTT <= TT; TTT++) {
    int n, sum = inf;
    in(n);
    for (int i = 1; i <= n; ++i) a[i] = 0;
    for (int i = 1; i <= n; ++i) {
      int c;
      in(c);
      if (a[c]) sum = min(sum, i - a[c] + 1);
      a[c] = i;
    }
    if (sum == inf) sum = -1;
    out(sum, 1);
  }
  return 0;
}

### Prompt

Construct a Cpp code solution to the problem outlined:

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, ..., 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}, ..., a_j for some 1 ≤ i ≤ j ≤ n.

Input

The first line contains single integer T (1 ≤ T ≤ 1000) — the number of test cases. Each test case consists of two lines.

The first line contains single integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of the array a.

The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 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 ⋅ 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.

Example

Input


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


Output


-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.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const long double pi = acos((long double)-1);
void in(initializer_list<int *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%d", *ptr);
}
void in(initializer_list<long long *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%lld", *ptr);
}
void in(initializer_list<double *> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) scanf("%lf", *ptr);
}
void out(initializer_list<int> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%d ", *ptr);
}
void outln(initializer_list<int> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%d\n", *ptr);
}
void out(initializer_list<long long> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%lld ", *ptr);
}
void outln(initializer_list<long long> li) {
  for (auto ptr = li.begin(); ptr != li.end(); ptr++) printf("%lld\n", *ptr);
}
int in(int &a, int &b, int &c, int &d) {
  return scanf("%d%d%d%d", &a, &b, &c, &d);
}
int in(int &a, int &b, int &c) { return scanf("%d%d%d", &a, &b, &c); }
int in(int &a, int &b) { return scanf("%d%d", &a, &b); }
int in(long long &a, long long &b) { return scanf("%lld%lld", &a, &b); }
int in(long long &a, long long &b, long long &c, long long &d) {
  return scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
}
int in(long long &a, long long &b, long long &c) {
  return scanf("%lld%lld%lld", &a, &b, &c);
}
int in(long long &a) { return scanf("%lld", &a); }
int in(int &a) { return scanf("%d", &a); }
int in(char *s) { return scanf("%s", s); }
int in(char &c) { return scanf("%c", &c); }
void out(int a, bool ln) { printf("%d%c", a, " \n"[ln]); }
void out(long long a, bool ln) { printf("%lld%c", a, " \n"[ln]); }
void out(double a, int digit, bool ln) {
  printf("%.*f%c", digit, a, " \n"[ln]);
}
long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
const int inf = 0x3f3f3f3f;
const double eps = 1e-8;
const int maxn = 1e6 + 5;
const int maxm = 1e6 + 5;
const long long mod = 1e9 + 7;
int a[maxn], b[maxn];
int main() {
  int TT;
  scanf("%d", &TT);
  for (int TTT = 1; TTT <= TT; TTT++) {
    int n, sum = inf;
    in(n);
    for (int i = 1; i <= n; ++i) a[i] = 0;
    for (int i = 1; i <= n; ++i) {
      int c;
      in(c);
      if (a[c]) sum = min(sum, i - a[c] + 1);
      a[c] = i;
    }
    if (sum == inf) sum = -1;
    out(sum, 1);
  }
  return 0;
}

```