#include <iostream> #include <cstdlib> using namespace std; int matrixChainOrder(int p[], int n, int** m, int** s) { for(int i = 1; i <= n; i++) { m[i][i] = 0; } for(int l = 2; l <= n; l++) { for(int i = 1; i <= n-l+1; i++) { int j = i+l-1; m[i][j] = INT_MAX; for(int k = i; k <= j-1; k++) { int q = m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j]; if(q < m[i][j]) { m[i][j] = q; s[i][j] = k; } } } } return m[1][n]; } int main() { int n = 3; int p[] = {8, 1, 8}; int** m = new int*[n+1]; int** s = new int*[n+1]; for(int i = 1; i <= n; i++) { m[i] = new int[n+1]; s[i] = new int[n+1]; } int minMultiplications = matrixChainOrder(p, n, m, s); cout << "The minimum number of multiplications is: " << minMultiplications << endl; cout << "The solutions to the subproblems are:" << endl; for(int i = 1; i <= n; i++) { for(int j = 1; j <= n; j++) { cout << "(" << m[i][j] << ", " << s[i][j] << ") "; } cout << endl; } for(int i = 1; i <= n; i++) { delete[] m[i]; delete[] s[i]; } delete[] m; delete[] s; return 0; }请在此代码基础上稍加修改，避免输出的矩阵元素值异常大

这段代码存在一个问题，就是在未初始化数组 `m` 和 `s` 的值时，直接对其进行赋值操作，在这种情况下，它们的值是不确定的，可能会导致输出异常大的情况。因此，我们需要在对数组进行赋值操作之前，先将它们的值初始化为 0。

修改后的代码如下所示：

#include <iostream>
#include <cstdlib>
using namespace std;

int matrixChainOrder(int p[], int n, int** m, int** s) {
    // 初始化数组 m 和 s
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            m[i][j] = 0;
            s[i][j] = 0;
        }
    }

    for(int i = 1; i <= n; i++) {
        m[i][i] = 0;
    }
    for(int l = 2; l <= n; l++) {
        for(int i = 1; i <= n-l+1; i++) {
            int j = i+l-1;
            m[i][j] = INT_MAX;
            for(int k = i; k <= j-1; k++) {
                int q = m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j];
                if(q < m[i][j]) {
                    m[i][j] = q;
                    s[i][j] = k;
                }
            }
        }
    }
    return m[1][n];
}

int main() {
    int n = 3;
    int p[] = {8, 1, 8};
    int** m = new int*[n+1];
    int** s = new int*[n+1];
    for(int i = 1; i <= n; i++) {
        m[i] = new int[n+1];
        s[i] = new int[n+1];
    }

    int minMultiplications = matrixChainOrder(p, n, m, s);
    cout << "The minimum number of multiplications is: " << minMultiplications << endl;
    cout << "The solutions to the subproblems are:" << endl;
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            cout << "(" << m[i][j] << ", " << s[i][j] << ") ";
        }
        cout << endl;
    }
    for(int i = 1; i <= n; i++) {
        delete[] m[i];
        delete[] s[i];
    }
    delete[] m;
    delete[] s;
    return 0;
}

修改后的代码会对数组 `m` 和 `s` 进行初始化，初始化后再进行赋值操作，从而避免输出异常大的矩阵元素值。