他想学会用数字构建出不同的正方形。 输入格式 输入矩阵的规模,不超过9。 输出格式 输出矩形和正方形 c语言
时间: 2024-10-28 17:08:12 浏览: 17
如果你想在C语言中帮助一个人构建正方形矩阵,你可以编写一个程序来检查给定的矩阵是否是正方形,并且每个元素都是连续的数字。下面是一个简单的示例,该程序接收一个二维数组作为输入,然后检查它能否形成一个正方形:
```c
#include <stdio.h>
// Function to check if a matrix can form a square
int isSquareMatrix(int** arr, int size) {
if (size == 0 || size > 9) {
return 0; // Matrix size must be between 1 and 9
}
int rowSum[size];
for (int i = 0; i < size; ++i) {
rowSum[i] = 0;
for (int j = 0; j < size; ++j) {
rowSum[i] += arr[i][j];
}
}
// Check if all row sums are equal and match the total sum
int totalSum = 0;
for (int i = 0; i < size; ++i) {
totalSum += rowSum[i];
if (!rowSum[i] || totalSum != size * (size * (size + 1) / 2)) {
return 0;
}
}
// Check if all elements are consecutive
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
if (arr[i][j] != i * size + j + 1) {
return 0;
}
}
}
return 1;
}
int main() {
int size;
printf("Enter the size of the matrix (1-9): ");
scanf("%d", &size);
int** arr = malloc(size * sizeof(int*));
for (int i = 0; i < size; ++i) {
arr[i] = malloc(size * sizeof(int));
}
// Assume user input is correct, you may want to validate it
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
scanf("%d", &arr[i][j]);
}
}
if (isSquareMatrix(arr, size)) {
printf("The matrix can form a square.\n");
} else {
printf("The matrix cannot form a square.\n");
}
free(arr);
return 0;
}
```
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