#include <cstdio>
#include <algorithm>
#include <vector>
#include <set>
#include <queue>
#include <cmath>
#include <cstdlib>
#include <utility>
#include <cstring>
using namespace std;
#define ll long long
#define MOD // Insert modulo here
#define mul(a, b) (((ll)(a) * (ll)(b)) % MOD)
#ifndef ONLINE_JUDGE
#define debug(format, ...) fprintf(stderr, \
"%s:%d: " format "\n", __func__, __LINE__,##__VA_ARGS__)
#else
#define debug(format, ...)
#define NDEBUG
#endif
bool grid[3005][3005];
char tmp[3005];
bool flag1[3005][3005];
bool flag2[3005][3005];
void work()
{
int n;
scanf("%d", &n);
for (int i = 1; i <= n; i++) {
scanf("%s", tmp + 1);
for (int j = 1; j <= n; j++) {
grid[i][j] = (tmp[j] == '1');
}
}
int ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (flag1[i][j]) {
grid[i][j] = !grid[i][j];
if (j == 1) {
flag1[i+1][j] = !flag1[i+1][j];
flag2[i+1][j+1] = !flag2[i+1][j+1];
} else {
flag1[i+1][j-1] = !flag1[i+1][j-1];
flag2[i+1][j] = !flag2[i+1][j];
flag2[i+1][j+1] = !flag2[i+1][j+1];
}
}
if (flag2[i][j]) {
grid[i][j] = !grid[i][j];
flag2[i+1][j+1] = !flag2[i+1][j+1];
}
if (grid[i][j]) {
ans++;
if (j == 1) {
flag1[i+1][j] = !flag1[i+1][j];
flag2[i+1][j+1] = !flag2[i+1][j+1];
} else {
flag1[i+1][j-1] = !flag1[i+1][j-1];
flag2[i+1][j] = !flag2[i+1][j];
flag2[i+1][j+1] = !flag2[i+1][j+1];
}
}
}
}
printf("%d\n", ans);
for (int i = 0; i <= n + 3; i++) {
for (int j = 0; j <= n + 3; j++) {
grid[i][j] = flag1[i][j] = flag2[i][j] = false;
}
}
}
int main()
{
int t; scanf("%d", &t);
for (int i = 1; i <= t; i++) work();
return 0;
}
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