描述输入一个正整数 n 生成一个 nn 的蛇形方阵具体见样例。输入描述一行一个正整数 n 。输出描述共 n 行每行一个正整数每个正整数占5列。用例输入 1 5用例输出 1 15 7 6 2 1 16 14 8 5 3 22 17 13 9 4 23 21 18 12 10 25 24 2
#include <iostream>
#include <vector>
using namespace std;
vector<vector<int>> generateSnakeMatrix(int n) {
vector<vector<int>> matrix(n, vector<int>(n));
int num = 1;
int row = 0, col = 0;
int direction = 0; // 0: right, 1: down, 2: left, 3: up
while (num <= n * n) {
matrix[row][col] = num;
num++;
switch (direction) {
case 0: // right
if (col < n - 1 && matrix[row][col + 1] == 0) {
col++;
} else {
direction = 1; // change direction to down
row++;
}
break;
case 1: // down
if (row < n - 1 && matrix[row + 1][col] == 0) {
row++;
} else {
direction = 2; // change direction to left
col--;
}
break;
case 2: // left
if (col > 0 && matrix[row][col - 1] == 0) {
col--;
} else {
direction = 3; // change direction to up
row--;
}
break;
case 3: // up
if (row > 0 && matrix[row - 1][col] == 0) {
row--;
} else {
direction = 0; // change direction to right
col++;
}
break;
}
}
return matrix;
}
int main() {
int n;
cin >> n;
vector<vector<int>> matrix = generateSnakeMatrix(n);
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cout.width(5);
cout << matrix[i][j];
}
cout << endl;
}
return 0;
}
``
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