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Copy path30_Magic_Squares_In_Grid.cpp
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64 lines (54 loc) · 1.53 KB
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// 840. Magic Squares In Grid
#include <bits/stdc++.h>
using namespace std;
class Solution
{
bool isValid(int i, int j, vector<vector<int>> &grid)
{
vector<int> count(10, 0);
for (int x = 0; x < 3; ++x)
{
for (int y = 0; y < 3; ++y)
{
int num = grid[i + x][j + y];
if (num < 1 || num > 9 || count[num] > 0)
return false;
count[num]++;
}
}
int sum = grid[i][j] + grid[i][j + 1] + grid[i][j + 2];
for (int x = 0; x < 3; ++x)
{
if (sum != (grid[i + x][j] + grid[i + x][j + 1] + grid[i + x][j + 2]))
return false;
}
for (int y = 0; y < 3; ++y)
{
if (sum != (grid[i][j + y] + grid[i + 1][j + y] + grid[i + 2][j + y]))
return false;
}
if (sum != (grid[i][j] + grid[i + 1][j + 1] + grid[i + 2][j + 2]))
return false;
if (sum != (grid[i + 2][j] + grid[i + 1][j + 1] + grid[i][j + 2]))
return false;
return true;
}
public:
int numMagicSquaresInside(vector<vector<int>> &grid)
{
int cnt = 0;
int row = grid.size();
int col = grid[0].size();
if (row < 3 || col < 3)
return 0;
for (int i = 0; i <= row - 3; ++i)
{
for (int j = 0; j <= col - 3; ++j)
{
if (isValid(i, j, grid))
cnt++;
}
}
return cnt;
}
};