3*3螺旋矩阵:
1 2 3
8 9 4
7 6 5
实现代码:
def spiral(n):
matrix = [[0] * n for _ in range(n)]
# 顺时针方向(右,下,左,上)
dx = [0, 1, 0, -1]
dy = [1, 0, -1, 0]
x = y = 0
dn = 0 # 方向指针0;向右填充,1:向下填充,2:向上填充,3:向上填充
for i in range(1, n * n + 1): # 从1开始赋值,一直到n*n
matrix[x][y] = i
temp_x = x + dx[dn]
temp_y = y + dy[dn]
if 0 <= temp_x < n and 0 <= temp_y < n and matrix[temp_x][temp_y] == 0:
x = temp_x
y = temp_y
else:
dn = (dn + 1) % 4
x += dx[dn]
y += dy[dn]
return matrix
if __name__ == '__main__':
n = int(input("输入矩阵n值:"))
matrix = spiral(n)
for i in range(n):
print(matrix[i])
运行结果:
附:python 简单实现螺旋矩阵
创建一个大小为m * n的矩阵,
并以螺旋方式遍历它。
在遍历时,我们跟踪变量“ val”以填充下一个值,
我们将“ val”一个接一个地递增,并将其值放入矩阵中。
以下是简单实现:
def spiral_matrix(m,n):
'''
:param x: colunm index
:param y: row index
'''
a = [[0 for _ in range(m)] for _ in range(n)]
val = 1
x,y = 0,0
count = m*n
while val <= count:
for i in range(x, m):
a[x][i] = val
val += 1
x += 1
for i in range(y+1, n):
a[i][m-1] = val
val += 1
y += 1
if x < m:
for i in range(m-2, x-2, -1):
a[n-1][i] = val
val += 1
m -= 1
if y < n:
for i in range(n-2, y-1, -1):
a[i][y-1] = val
val += 1
n -= 1
for i in a:
print(*i)
spiral_matrix(6,6)
# 1 2 3 4 5 6
# 20 21 22 23 24 7
# 19 32 33 34 25 8
# 18 31 36 35 26 9
# 17 30 29 28 27 10
# 16 15 14 13 12 11
总结
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