#include <bits/stdc++.h>
#pragma GCC optimize "trapv"
using namespace std;
bool sortbysecond(const pair<long long int, long long int> &a,
                  const pair<long long int, long long int> &b) {
  return (a.second < b.second);
}
int64_t ceil_div(int64_t a, int64_t b) {
  if (a % b != 0) {
    return ((a / b) + 1);
  } else {
    return (a / b);
  }
}
double max(double a, double b) {
  if (a >= b) {
    return a;
  } else {
    return b;
  }
}
double min(double a, double b) {
  if (a <= b) {
    return a;
  } else {
    return b;
  }
}
bool modd(double a, double b) {
  if (floor(a / b) == ceil(a / b)) {
    return true;
  }
  return false;
}
bool stringsort(const string &a, const string &b) {
  return a.length() > b.length();
}
bool specsort(const pair<long double, long long int> &a,
              const pair<long double, long long int> &b) {
  return a.first - a.second > b.first - b.second;
}
struct ufds {
  vector<long long int> link, siz;
  long long int cmp;
  ufds(long long int n) : link(n), siz(n, 1) {
    iota(link.begin(), link.end(), 0);
    cmp = n;
  }
  long long int find(long long int x) {
    if (x == link[x]) return x;
    return link[x] = find(link[x]);
  }
  bool same(long long int x, long long int y) { return find(x) == find(y); }
  bool unite(long long int x, long long int y) {
    x = find(x);
    y = find(y);
    if (x == y) return false;
    if (x < y) swap(x, y);
    siz[x] += siz[y];
    link[y] = x;
    cmp--;
    return true;
  }
  long long int components() { return cmp; }
  bool size(long long int x) { return siz[link[x]]; }
};
void dfs(long long int s, vector<long long int> &visited,
         vector<vector<long long int> > &adj) {
  if (visited[s]) return;
  visited[s] = 1;
  for (auto i : adj[s]) {
    if (!visited[i]) dfs(i, visited, adj);
  }
}
long long binpow(long long a, long long b, long long m) {
  a %= m;
  long long res = 1;
  while (b > 0) {
    if (b & 1) res = res * a % m;
    a = a * a % m;
    b >>= 1;
  }
  return res;
}
long long int count(vector<long long int> &arr, long long int n,
                    long long int key) {
  long long int left = 0;
  long long int right = n - 1;
  long long int count = 0;
  while (left <= right) {
    long long int mid = (right + left) / 2;
    if (arr[mid] <= key) {
      count = mid + 1;
      left = mid + 1;
    } else
      right = mid - 1;
  }
  return count;
}
void solve() {
  long long int n;
  cin >> n;
  vector<long long int> a(n);
  for (long long int i = 0; i < n; i++) cin >> a[i];
  map<long long int, long long int> f;
  queue<long long int> q;
  reverse(a.begin(), a.end());
  for (auto i : a) {
    if (f.find(i) != f.end())
      continue;
    else {
      q.push(i);
      f.insert({i, 1});
    }
  }
  long long int maxi = *max_element(a.begin(), a.end());
  long long int ans = 0;
  while (!q.empty() && q.front() != maxi) {
    long long int curr = q.front();
    q.pop();
    ans++;
    while (!q.empty() && q.front() <= curr) q.pop();
  }
  cout << ans << '\n';
}
int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  long long int t;
  cin >> t;
  while (t--) {
    solve();
  }
  return 0;
}

### Prompt

Create a solution in Cpp for the following problem:

You are given an array a of length n.

Let's define the eversion operation. Let x = a_n. Then array a is partitioned into two parts: left and right. The left part contains the elements of a that are not greater than x (≤ x). The right part contains the elements of a that are strictly greater than x (> x). The order of elements in each part is kept the same as before the operation, i. e. the partition is stable. Then the array is replaced with the concatenation of the left and the right parts.

For example, if the array a is [2, 4, 1, 5, 3], the eversion goes like this: [2, 4, 1, 5, 3] → [2, 1, 3], [4, 5] → [2, 1, 3, 4, 5].

We start with the array a and perform eversions on this array. We can prove that after several eversions the array a stops changing. Output the minimum number k such that the array stops changing after k eversions.

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 100). Description of the test cases follows.

The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^5).

The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9).

It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5.

Output

For each test case print a single integer k — the number of eversions after which the array stops changing.

Example

Input


3
5
2 4 1 5 3
5
5 3 2 4 1
4
1 1 1 1


Output


1
2
0

Note

Consider the fist example.

  * The first eversion: a = [1, 4, 2, 5, 3], x = 3. [2, 4, 1, 5, 3] → [2, 1, 3], [4, 5] → [2, 1, 3, 4, 5]. 
  * The second and following eversions: a = [2, 1, 3, 4, 5], x = 5. [2, 1, 3, 4, 5] → [2, 1, 3, 4, 5], [] → [2, 1, 3, 4, 5]. This eversion does not change the array, so the answer is 1. 



Consider the second example. 

  * The first eversion: a = [5, 3, 2, 4, 1], x = 1. [5, 3, 2, 4, 1] → [1], [5, 3, 2, 4] → [1, 5, 3, 2, 4]. 
  * The second eversion: a = [1, 5, 3, 2, 4], x = 4. [1, 5, 3, 2, 4] → [1, 3, 2, 4], [5] → [1, 3, 2, 4, 5]. 
  * The third and following eversions: a = [1, 3, 2, 4, 5], x = 5. [1, 3, 2, 4, 5] → [1, 3, 2, 4, 5], [] → [1, 3, 2, 4, 5]. This eversion does not change the array, so the answer is 2. 

### Response

```cpp
#include <bits/stdc++.h>
#pragma GCC optimize "trapv"
using namespace std;
bool sortbysecond(const pair<long long int, long long int> &a,
                  const pair<long long int, long long int> &b) {
  return (a.second < b.second);
}
int64_t ceil_div(int64_t a, int64_t b) {
  if (a % b != 0) {
    return ((a / b) + 1);
  } else {
    return (a / b);
  }
}
double max(double a, double b) {
  if (a >= b) {
    return a;
  } else {
    return b;
  }
}
double min(double a, double b) {
  if (a <= b) {
    return a;
  } else {
    return b;
  }
}
bool modd(double a, double b) {
  if (floor(a / b) == ceil(a / b)) {
    return true;
  }
  return false;
}
bool stringsort(const string &a, const string &b) {
  return a.length() > b.length();
}
bool specsort(const pair<long double, long long int> &a,
              const pair<long double, long long int> &b) {
  return a.first - a.second > b.first - b.second;
}
struct ufds {
  vector<long long int> link, siz;
  long long int cmp;
  ufds(long long int n) : link(n), siz(n, 1) {
    iota(link.begin(), link.end(), 0);
    cmp = n;
  }
  long long int find(long long int x) {
    if (x == link[x]) return x;
    return link[x] = find(link[x]);
  }
  bool same(long long int x, long long int y) { return find(x) == find(y); }
  bool unite(long long int x, long long int y) {
    x = find(x);
    y = find(y);
    if (x == y) return false;
    if (x < y) swap(x, y);
    siz[x] += siz[y];
    link[y] = x;
    cmp--;
    return true;
  }
  long long int components() { return cmp; }
  bool size(long long int x) { return siz[link[x]]; }
};
void dfs(long long int s, vector<long long int> &visited,
         vector<vector<long long int> > &adj) {
  if (visited[s]) return;
  visited[s] = 1;
  for (auto i : adj[s]) {
    if (!visited[i]) dfs(i, visited, adj);
  }
}
long long binpow(long long a, long long b, long long m) {
  a %= m;
  long long res = 1;
  while (b > 0) {
    if (b & 1) res = res * a % m;
    a = a * a % m;
    b >>= 1;
  }
  return res;
}
long long int count(vector<long long int> &arr, long long int n,
                    long long int key) {
  long long int left = 0;
  long long int right = n - 1;
  long long int count = 0;
  while (left <= right) {
    long long int mid = (right + left) / 2;
    if (arr[mid] <= key) {
      count = mid + 1;
      left = mid + 1;
    } else
      right = mid - 1;
  }
  return count;
}
void solve() {
  long long int n;
  cin >> n;
  vector<long long int> a(n);
  for (long long int i = 0; i < n; i++) cin >> a[i];
  map<long long int, long long int> f;
  queue<long long int> q;
  reverse(a.begin(), a.end());
  for (auto i : a) {
    if (f.find(i) != f.end())
      continue;
    else {
      q.push(i);
      f.insert({i, 1});
    }
  }
  long long int maxi = *max_element(a.begin(), a.end());
  long long int ans = 0;
  while (!q.empty() && q.front() != maxi) {
    long long int curr = q.front();
    q.pop();
    ans++;
    while (!q.empty() && q.front() <= curr) q.pop();
  }
  cout << ans << '\n';
}
int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  long long int t;
  cin >> t;
  while (t--) {
    solve();
  }
  return 0;
}

```