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solution.cpp
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62 lines (55 loc) · 1.58 KB
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class Solution
{
public:
int numMagicSquaresInside(vector<vector<int>> &grid)
{
int rows = grid.size();
int cols = grid[0].size();
int count = 0;
// Traverse every possible 3x3 subgrid
for (int i = 0; i + 2 < rows; i++)
{
for (int j = 0; j + 2 < cols; j++)
{
if (isMagic(grid, i, j))
{
count++;
}
}
}
return count;
}
private:
bool isMagic(vector<vector<int>> &g, int r, int c)
{
// Center must be 5
if (g[r + 1][c + 1] != 5)
return false;
bool seen[10] = {false};
// Check numbers 1 to 9 and uniqueness
for (int i = r; i < r + 3; i++)
{
for (int j = c; j < c + 3; j++)
{
int val = g[i][j];
if (val < 1 || val > 9 || seen[val])
return false;
seen[val] = true;
}
}
// Check rows and columns
for (int i = 0; i < 3; i++)
{
if (g[r + i][c] + g[r + i][c + 1] + g[r + i][c + 2] != 15)
return false;
if (g[r][c + i] + g[r + 1][c + i] + g[r + 2][c + i] != 15)
return false;
}
// Check diagonals
if (g[r][c] + g[r + 1][c + 1] + g[r + 2][c + 2] != 15)
return false;
if (g[r][c + 2] + g[r + 1][c + 1] + g[r + 2][c] != 15)
return false;
return true;
}
};