#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 *******************************
// 1
// 8
// 1 -2 5 2 6 10 4 7
vector<int> a;
//* variant 2 : No condition (i.e 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;
int max2 = -INF;
int min1 = INF;
int min2 = INF;
for(int i=0; i<n; i++){
int add = a[i] + i;
int dif = a[i] - i;
max1 = max(max1, add);
min1 = min(min1, add);
max2 = max(max2, dif);
min2 = min(min2, dif);
}
int ans = max( {max1 - 2*min1, max2 - 2*min2, 2*max1 - min1, 2*max2 - min2 });
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;
}
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