// 本题的k就是x
// 状态:dp[i][j][k] 走到ij位置,改变了k个?的最大分值
// 方程:dp[ijk]=max(上,左)+分
#include <bits/stdc++.h>
using namespace std;
int t, n, m, k;
char g[505][505];
int dp[505][505][305];
int main()
{
cin >> t;
while (t--)
{
cin >> n >> m >> k;
memset(g, 0, sizeof(g));
memset(dp, 0, sizeof(dp));
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
cin >> g[i][j];
int ans = 0;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= m; j++)
{
for (int x = 0; x <= k; x++)
{
dp[i][j][x] = max(dp[i][j - 1][x], dp[i - 1][j][x]) + (g[i][j] == '1' ? 1 : 0);
if (g[i][j] == '?' && x > 0)
dp[i][j][x] = max(dp[i][j][x], max(dp[i][j - 1][x - 1], dp[i - 1][j][x - 1]) + 1);
}
}
}
for (int x = 0; x <= k; x++)
ans = max(ans, dp[n][m][x]);
cout << ans << "\n";
}
return 0;
}