#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
vector<int> a;
//* variant 1 : i == j == k allowed
int bruteforce(int n){
int ans = -INF;
for(int i = 0; i < n; i++) {
for(int j = 0; j < n; j++) {
for(int k = 0; k < n; k++) {
int curr = abs(a[i] - a[j] - a[k]) + abs(i - j - k);
ans = max(ans, curr);
}
}
}
return ans;
}
int consistency(int n){
int max1 = -INF; // ai + i
int min1 = INF; // ai + i
int max2 = -INF; // i - ai
int max3 = -INF; // aj - j
for(int i=0; i<n; i++){
max1 = max(max1, a[i] + i);
min1 = min(min1, a[i] + i);
max2 = max(max2, i - a[i]);
max3 = max(max3, a[i] - i);
}
int ans = max1 - 2*min1;
ans = max(ans, 2*max1 - min1);
ans = max(ans, max2 + 2*max3);
ans = max(ans, max3 + 2*max2);
return ans;
}
int practice(int n){
return 0;
}
void solve() {
int n;
cin>> n;
a.resize(n);
for(int i=0; i<n; i++) cin >> a[i];
cout << bruteforce(n) << " " << consistency(n) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}