#include <vector>
using namespace std;
vector<vector<int>> magicSquares; // 存储所有幻方的全局变量
// 判断当前矩阵是否为幻方
bool isMagicSquare(const vector<vector<int>>& square) {
int sum = square + square + square + square; // 计算第一行的和
// 检查每行的和
for (int i = 1; i < 4; i++) {
int rowSum = square + square + square + square;
if (rowSum != sum) {
return false;
}
}
// 检查每列的和
for (int j = 0; j < 4; j++) {
int colSum = square + square + square + square;
if (colSum != sum) {
return false;
}
}
// 检查对角线的和
int diagSum1 = square + square + square + square;
int diagSum2 = square + square + square + square;
if (diagSum1 != sum || diagSum2 != sum) {
return false;
}
return true;
}
// 输出矩阵
void printSquare(const vector<vector<int>>& square) {
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
cout << square << " ";
}
cout << endl;
}
}
// 生成所有可能的4x4幻方
void generateMagicSquares() {
vector<int> nums = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16};
do {
vector<vector<int>> square;
for (int i = 0; i < 4; i++) {
vector<int> row;
for (int j = 0; j < 4; j++) {
row.push_back(nums);
}
square.push_back(row);
}
if (isMagicSquare(square)) {
magicSquares.push_back(square);
}
} while (next_permutation(nums.begin(), nums.end()));
}
int main() {
generateMagicSquares();
cout << "共有 " << magicSquares.size() << " 个4x4幻方:" << endl;
for (const auto& square : magicSquares) {
printSquare(square);
cout << endl;
}
return 0;
}
里面magicSquares.push_back(square);报错c2665,printSquare(square);报错c2664,请修改
梦有所依丶 发表于 2024-04-15 19:35
#include
#include
using namespace std;
vect ...
抱歉,代码中仍然存在错误。在两处计算和的地方使用了错误的运算符,应该使用数组下标操作来获取元素并累加。以下是修正后的代码:#include #include using namespace std;vector<vector<int>> magicSquares; // 存储所有幻方的全局变量// 判断当前矩阵是否为幻方bool isMagicSquare(const vector<vector<int>>& square) { int sum = square + square + square + square; // 计算第一行的和 // 检查每行的和 for (int i = 1; i < 4; i++) { int rowSum = square + square + square + square; if (rowSum != sum) { return false; } } // 检查每列的和 for (int j = 0; j < 4; j++) { int colSum = square + square + square + square; if (colSum != sum) { return false; } } // 检查对角线的和 int diagSum1 = square + square + square + square; int diagSum2 = square + square + square + square; if (diagSum1 != sum || diagSum2 != sum) { return false; } return true;}// 输出矩阵void printSquare(const vector<vector<int>>& square) { for (int i = 0; i < 4; i++) { for (int j = 0; j < 4; j++) { cout << square << " "; } cout << endl; }}// 递归生成幻方void generateMagicSquare(vector<vector<int>>& square, int row, int col, vector<int>& used) { if (row == 4) { if (isMagicSquare(square)) { magicSquares.push_back(square); } return; } if (col == 4) { generateMagicSquare(square, row + 1, 0, used); return; } for (int num = 1; num <= 16; num++) { if (!used) { used = 1; square = num; generateMagicSquare(square, row, col + 1, used); used = 0; } }}int main() { vector<vector<int>> square(4, vector<int>(4)); vector<int> used(17, 0); generateMagicSquare(square, 0, 0, used); cout << "共有 " << magicSquares.size() << " 个四阶幻方:" << endl; for (const auto& s : magicSquares) { printSquare(s); cout << endl; } return 0;}
以上回复来自 FishC AI 小助理,如未能正确解答您的问题,请继续追问。 FishC 发表于 2024-4-15 19:25
以下是完整的代码:
62行和72行还是报错,请解决 梦有所依丶 发表于 2024-04-15 19:38
62行和72行还是报错,请解决
抱歉,我在之前的回答中没有正确解决这两行代码的问题。对于计算行和、列和和对角线和的逻辑,你需要使用正确的数组下标操作,而不是简单地重复相加同一个元素。
以下是修改后的代码:
#include <iostream>
#include <vector>
using namespace std;
vector<vector<int>> magicSquares; // 存储所有幻方的全局变量
// 判断当前矩阵是否为幻方
bool isMagicSquare(const vector<vector<int>>& square) {
int sum = square + square + square + square; // 计算第一行的和
// 检查每行的和
for (int i = 1; i < 4; i++) {
int rowSum = square + square + square + square;
if (rowSum != sum) {
return false;
}
}
// 检查每列的和
for (int j = 0; j < 4; j++) {
int colSum = square + square + square + square;
if (colSum != sum) {
return false;
}
}
// 检查对角线的和
int diagSum1 = square + square + square + square;
int diagSum2 = square + square + square + square;
if (diagSum1 != sum || diagSum2 != sum) {
return false;
}
return true;
}
// 输出矩阵
void printSquare(const vector<vector<int>>& square) {
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
cout << square << " ";
}
cout << endl;
}
}
int main() {
// 生成幻方的所有可能性
vector<int> nums = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 };
do {
vector<vector<int>> square = {
{ nums, nums, nums, nums },
{ nums, nums, nums, nums },
{ nums, nums, nums, nums },
{ nums, nums, nums, nums }
};
if (isMagicSquare(square)) {
magicSquares.push_back(square);
}
} while (next_permutation(nums.begin(), nums.end()));
// 输出所有符合条件的幻方
for (int i = 0; i < magicSquares.size(); i++) {
cout << "Magic Square #" << i + 1 << ":" << endl;
printSquare(magicSquares);
cout << endl;
}
return 0;
}
这个程序使用了`next_permutation`函数来生成所有的幻方可能性,并判断它们是否为幻方。然后通过`printSquare`函数输出所有符合条件的幻方。请注意,在输出幻方时,我添加了一些格式化的空行,以提高可读性。
以上回复来自 FishC AI 小助理,如未能正确解答您的问题,请继续追问。
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