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numMagicSquaresInside.java
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37 lines (30 loc) · 1.26 KB
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public class numMagicSquaresInside{
public static void main(String[] args){
int array[][]={{4,3,8,4},{9,5,1,9},{2,7,6,2}};
int count=magic_square(array);
System.out.println(count);
}
public static int magic_square(int[][] grid) {
int cnt=0;
for(int i=0;i<=grid.length-3;i++)
for(int j=0;j<=grid[0].length-3;j++)
if(helper(i,j,grid)) cnt++;
return cnt;
}
private static boolean helper(int x,int y,int[][] grid){
if(grid[x+1][y+1]!=5) return false;
int[] valid=new int[16];
for(int i=x;i<=x+2;i++)
for(int j=y;j<=y+2;j++)
valid[grid[i][j]]++;
for (int v = 1; v <= 9; v++)
if (valid[v] != 1) return false;
if((grid[x][y]+grid[x][y+1]+grid[x][y+2])!=15) return false;
if((grid[x][y]+grid[x+1][y+1]+grid[x+2][y+2])!=15) return false;
if((grid[x][y]+grid[x+1][y]+grid[x+2][y])!=15) return false;
if((grid[x+2][y]+grid[x+2][y+1]+grid[x+2][y+2])!=15) return false;
if((grid[x][y+2]+grid[x+1][y+2]+grid[x+2][y+2])!=15) return false;
if((grid[x][y+2]+grid[x+1][y+1]+grid[x+2][y])!=15) return false;
return true;
}
}