使用O和X的交替矩形创建矩阵
原文： https://www.geeksforgeeks.org/create-a-matrix-with-alternating-rectangles-of-0-and-x/
编写代码，输入两个数字m和n，并创建一个大小为mxn（m行和n列）的矩阵，其中每个元素均为X或O。 x和O必须交替填充，矩阵应具有x的最外面的矩形，然后是O的矩形，然后是X的矩形，依此类推。
示例：
Input: m = 3, n = 3
Output: Following matrix
X X X
X 0 X
X X X
Input: m = 4, n = 5
Output: Following matrix
X X X X X
X 0 0 0 X
X 0 0 0 X
X X X X X
Input: m = 5, n = 5
Output: Following matrix
X X X X X
X 0 0 0 X
X 0 X 0 X
X 0 0 0 X
X X X X X
Input: m = 6, n = 7
Output: Following matrix
X X X X X X X
X 0 0 0 0 0 X
X 0 X X X 0 X
X 0 X X X 0 X
X 0 0 0 0 0 X
X X X X X X X
我们强烈建议最小化浏览器，然后自己尝试。
在 Shreepartners Gurgaon 的校园招聘中提出了这个问题。 我遵循以下方法。
-
使用代码以螺旋形式打印矩阵。
-
而不是打印数组，而是在数组中插入元素
X或O。
以下是上述方法的实现。
C++
#include <stdio.h>
// Function to print alternating rectangles of 0 and X
void fill0X(int m, int n)
{
/* k - starting row index
m - ending row index
l - starting column index
n - ending column index
i - iterator */
int i, k = 0, l = 0;
// Store given number of rows and columns for later use
int r = m, c = n;
// A 2D array to store the output to be printed
char a[m][n];
char x = 'X'; // Iniitialize the character to be stoed in a[][]
// Fill characters in a[][] in spiral form. Every iteration fills
// one rectangle of either Xs or Os
while (k < m && l < n)
{
/* Fill the first row from the remaining rows */
for (i = l; i < n; ++i)
a[k][i] = x;
k++;
/* Fill the last column from the remaining columns */
for (i = k; i < m; ++i)
a[i][n-1] = x;
n--;
/* Fill the last row from the remaining rows */
if (k < m)
{
for (i = n-1; i >= l; --i)
a[m-1][i] = x;
m--;
}
/* Print the first column from the remaining columns */
if (l < n)
{
for (i = m-1; i >= k; --i)
a[i][l] = x;
l++;
}
// Flip character for next iteration
x = (x == '0')? 'X': '0';
}
// Print the filled matrix
for (i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
printf("%c ", a[i][j]);
printf("\n");
}
}
/* Driver program to test above functions */
int main()
{
puts("Output for m = 5, n = 6");
fill0X(5, 6);
puts("\nOutput for m = 4, n = 4");
fill0X(4, 4);
puts("\nOutput for m = 3, n = 4");
fill0X(3, 4);
return 0;
}
Java
// Java code to demonstrate the working.
import java.io.*;
class GFG {
// Function to print alternating
// rectangles of 0 and X
static void fill0X(int m, int n)
{
/* k - starting row index
m - ending row index
l - starting column index
n - ending column index
i - iterator */
int i, k = 0, l = 0;
// Store given number of rows
// and columns for later use
int r = m, c = n;
// A 2D array to store
// the output to be printed
char a[][] = new char[m][n];
// Iniitialize the character
// to be stoed in a[][]
char x = 'X';
// Fill characters in a[][] in spiral
// form. Every iteration fills
// one rectangle of either Xs or Os
while (k < m && l < n)
{
/* Fill the first row from the remaining rows */
for (i = l; i < n; ++i)
a[k][i] = x;
k++;
/* Fill the last column from the remaining columns */
for (i = k; i < m; ++i)
a[i][n-1] = x;
n--;
/* Fill the last row from the remaining rows */
if (k < m)
{
for (i = n-1; i >= l; --i)
a[m-1][i] = x;
m--;
}
/* Print the first column
// from the remaining columns */
if (l < n)
{
for (i = m-1; i >= k; --i)
a[i][l] = x;
l++;
}
// Flip character for next iteration
x = (x == '0')? 'X': '0';
}
// Print the filled matrix
for (i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
System.out.print(a[i][j] + " ");
System.out.println();
}
}
/* Driver program to test above functions */
public static void main (String[] args) {
System.out.println("Output for m = 5, n = 6");
fill0X(5, 6);
System.out.println("Output for m = 4, n = 4");
fill0X(4, 4);
System.out.println("Output for m = 3, n = 4");
fill0X(3, 4);
}
}
// This code is contributed by vt_m
Python3
# Python3 program to Create a matrix with
# alternating rectangles of O and X
# Function to pralternating rectangles
# of 0 and X
def fill0X(m, n):
# k - starting row index
# m - ending row index
# l - starting column index
# n - ending column index
# i - iterator
i, k, l = 0, 0, 0
# Store given number of rows and
# columns for later use
r = m
c = n
# A 2D array to store the output
# to be printed
a = [[None] * n for i in range(m)]
x = 'X' # Iniitialize the character to
# be stoed in a[][]
# Fill characters in a[][] in spiral form.
# Every iteration fills one rectangle of
# either Xs or Os
while k < m and l < n:
# Fill the first row from the
# remaining rows
for i in range(l, n):
a[k][i] = x
k += 1
# Fill the last column from
# the remaining columns
for i in range(k, m):
a[i][n - 1] = x
n -= 1
# Fill the last row from the
# remaining rows
if k < m:
for i in range(n - 1, l - 1, -1):
a[m - 1][i] = x
m -= 1
# Print the first column from
# the remaining columns
if l < n:
for i in range(m - 1, k - 1, -1):
a[i][l] = x
l += 1
# Flip character for next iteration
x = 'X' if x == '0' else '0'
# Print the filled matrix
for i in range(r):
for j in range(c):
print(a[i][j], end = " ")
print()
# Driver Code
if __name__ == '__main__':
print("Output for m = 5, n = 6")
fill0X(5, 6)
print("Output for m = 4, n = 4")
fill0X(4, 4)
print("Output for m = 3, n = 4")
fill0X(3, 4)
# This code is contributed by pranchalK
C
// C# code to demonstrate the working.
using System;
class GFG {
// Function to print alternating
// rectangles of 0 and X
static void fill0X(int m, int n)
{
/* k - starting row index
m - ending row index
l - starting column index
n - ending column index
i - iterator */
int i, k = 0, l = 0;
// Store given number of rows
// and columns for later use
int r = m, c = n;
// A 2D array to store
// the output to be printed
char [,]a = new char[m,n];
// Iniitialize the character
// to be stoed in a[][]
char x = 'X';
// Fill characters in a[][] in spiral
// form. Every iteration fills
// one rectangle of either Xs or Os
while (k < m && l < n)
{
/* Fill the first row from the
remaining rows */
for (i = l; i < n; ++i)
a[k,i] = x;
k++;
/* Fill the last column from the
remaining columns */
for (i = k; i < m; ++i)
a[i,n-1] = x;
n--;
/* Fill the last row from the
remaining rows */
if (k < m)
{
for (i = n-1; i >= l; --i)
a[m-1,i] = x;
m--;
}
/* Print the first column
from the remaining columns */
if (l < n)
{
for (i = m-1; i >= k; --i)
a[i,l] = x;
l++;
}
// Flip character for next
// iteration
x = (x == '0')? 'X': '0';
}
// Print the filled matrix
for (i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
Console.Write(a[i,j] + " ");
Console.WriteLine();
}
}
/* Driver program to test
above functions */
public static void Main ()
{
Console.WriteLine("Output for"
+ " m = 5, n = 6");
fill0X(5, 6);
Console.WriteLine("Output for"
+ " m = 4, n = 4");
fill0X(4, 4);
Console.WriteLine("Output for"
+ " m = 3, n = 4");
fill0X(3, 4);
}
}
// This code is contributed by Sam007.
PHP
<?php
// PHP program to Create a matrix with
// alternating rectangles of O and X
// Function to print alternating
// rectangles of 0 and X
function fill0X($m, $n)
{
/* k - starting row index
m - ending row index
l - starting column index
n - ending column index
i - iterator */
$k = 0;
$l = 0;
// Store given number of rows
// and columns for later use
$r = $m;
$c = $n;
// A 2D array to store the
// output to be printed
// Iniitialize the character
// to be stoed in a[][]
$x = 'X';
// Fill characters in a[][] in
// spiral form. Every iteration fills
// one rectangle of either Xs or Os
while ($k < $m && $l < $n)
{
/* Fill the first row from
the remaining rows */
for ($i = $l; $i < $n; ++$i)
$a[$k][$i] = $x;
$k++;
/* Fill the last column from
the remaining columns */
for ($i = $k; $i < $m; ++$i)
$a[$i][$n - 1] = $x;
$n--;
/* Fill the last row from
the remaining rows */
if ($k < $m)
{
for ($i = $n - 1; $i >= $l; --$i)
$a[$m - 1][$i] = $x;
$m--;
}
/* Print the first column from
the remaining columns */
if ($l < $n)
{
for ($i = $m - 1; $i >= $k; --$i)
$a[$i][$l] = $x;
$l++;
}
// Flip character for
// next iteration
$x = ($x == '0')? 'X': '0';
}
// Print the filled matrix
for ($i = 0; $i < $r; $i++)
{
for ($j = 0; $j < $c; $j++)
echo($a[$i][$j]." ");
echo "\n";
}
}
// Driver Code
echo "Output for m = 5, n = 6\n";
fill0X(5, 6);
echo "\nOutput for m = 4, n = 4\n";
fill0X(4, 4);
echo "\nOutput for m = 3, n = 4\n";
fill0X(3, 4);
// This code is contributed by ChitraNayal.
?>
输出：
Output for m = 5, n = 6
X X X X X X
X 0 0 0 0 X
X 0 X X 0 X
X 0 0 0 0 X
X X X X X X
Output for m = 4, n = 4
X X X X
X 0 0 X
X 0 0 X
X X X X
Output for m = 3, n = 4
X X X X
X 0 0 X
X X X X
时间复杂度：O(mn)。
辅助空间：O(mn)。
请建议是否有人在空间和时间方面有更好的解决方案，并且效率更高。
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