数字三角形--动态规划法

#include
using namespace std;


int a[20][20] = { 0 };

int dp[20][20] = { 0 }; //动态规划表

int m;
int n;

void findMax()
{     //动态规划
    for (int i = m; i >= 1; i--)
    {
        for (int j = 1; j <= n; j++)
        {

            dp[i][j] = a[i][j] + max(dp[i + 1][j], dp[i + 1][j + 1]);
        }
    }
}

void print()
{

    cout << "最大路径和是：" << dp[1][1] << endl;

}
void printt()
{
    cout << "最大路径路线为：";
    int l = 0;
    for (int i = 1; i <= m; i++)
    {
        if (dp[i][l] > dp[i][l + 1])
            cout << a[i][l] << " ";
        else
        {
            cout << a[i][l + 1] << " ";
            l = l + 1;
        }
    }
}
int main()
{
    cout << "请确定数字三角形的层数：";
    cin >> m;
    cout << "请确定数字三角形最后一层的数字个数：";
    cin >> n;

    cout << "请输入数字三角形的数字";

    for (int i = 1; i <= m; i++)
    {
        for (int j = 1; j <= i; j++)
        {
            cin >> a[i][j];
        }
    }
    for (int i = 1; i <= m; i++)
    {
        for (int j = 1; j <= i; j++)
        {
            cout << a[i][j] << " ";
        }
        cout << endl;
    }


    findMax();

    print();

    printt();

    return 0;
}

结果演示：