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#include <bits/stdc++.h>
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tt;
cin >> tt;
while (tt--) {
int n;
cin >> n;
vector<string> arr(n);
for (auto &x : arr) {
cin >> x;
}
int count = 0;
for (int i = 0; i < n / 2; i++) {
for (int j = 0; j < (n + 1) / 2; j++) {
int ch1 = arr[i][j] - '0';
int ch2 = arr[n - 1 - j][i] - '0';
int ch3 = arr[n - i - 1][n - 1 - j] - '0';
int ch4 = arr[j][n - 1 -i] - '0';
int sum = ch1 + ch2 + ch3 + ch4;
count += min(4 - sum, sum);
}
}
cout << count << endl;
}
}
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