Given an integer n, generate a square matrix filled with elements from 1 to n2 in spiral order.
For example,
Given n = 3
,
[ [ 1, 2, 3 ], [ 8, 9, 4 ], [ 7, 6, 5 ] ]Analysis:
Similiar with the former one Spiral Matrix
Java
public int[][] generateMatrix(int n) { int [][] result = new int[n][n]; int x1=0; int y1=0; int x2=n-1; int y2 = n-1; int val = 1; while(x1<=x2 && y1<=y2){ for(int i=y1;i<=y2;i++) result[x1][i] = val++; for(int j = x1+1;j<=x2;j++) result[j][y2] = val++; if(x1!=x2) for(int i=y2-1;i>=y1;i--) result[x2][i] = val++; if(y1!=y2) for(int j=x2-1;j>y1;j--) result[j][y1]=val++; x1++;y1++;x2--;y2--; } return result; }
vector<vector<int> > generateMatrix(int n) { vector<vector<int>> matrix(n); if(n == 0) return matrix; for(int i=0; i<n; i++){ matrix[i].resize(n); } int x1 = 0; int y1 = 0; int x2 = n - 1; int y2 = n - 1; int val = 1; while(x1<=x2 && y1<=y2){ for(int j = y1; j<=y2; ++j) matrix[x1][j] = val++; for(int i = x1+1; i<=x2; ++i) matrix[i][y2] = val++; if(x2 !=x1) for(int j = y2-1; j>=y1; --j) matrix[x2][j] = val++; if(y2 != y1) for(int i = x2-1; i>x1; --i) matrix[i][y1] = val++; x1++, y1++, x2--, y2--; } return matrix; }