static const auto _ = []() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
return 0;
}();
class Solution {
public:
int countSubmatrices(vector<vector<int>> &grid, int k) const {
int n = size(grid), m = size(grid[0]), res = grid[0][0] <= k;
for (int i = 1, acc = grid[0][0]; i < n; i++) {
grid[i][0] = acc += grid[i][0];
if (grid[i][0] <= k)
res++;
else {
n = i;
break;
}
}
for (int j = 1, acc = grid[0][0]; j < m; j++) {
grid[0][j] = acc += grid[0][j];
if (grid[0][j] <= k)
res++;
else {
m = j;
break;
}
}
for (int i = 1; i < n; i++) {
for (int j = 1; j < m; j++) {
grid[i][j] += grid[i - 1][j] + grid[i][j - 1] - grid[i - 1][j - 1];
if (grid[i][j] <= k)
res++;
else {
m = j;
break;
}
}
}
return res;
}
};