优化用于ProjectEuler问题的程序11

时间:2011-01-13 01:20:16

标签: c++ optimization

我一直在学习编程很多,看起来程序员之间最激烈的竞争之一就是几乎没有人可以做一个程序。注意到这个趋势,我想学习制作我的程序更紧凑,更清洁,更喜欢功能而不会过剩。这是我用来解决ProjectEuler问题11的代码。当我看到代码的四分之一做同样的事情时,它有点让我担心,呵呵。

#include <iostream>

using namespace std;

int array[20][20] = {{8,2,22,97,38,15,0,40,0,75,4,5,7,78,52,12,50,77,91,8},
                        {49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48,4,56,62,0},
                        {81,49,31,73,55,79,14,29,93,71,40,67,53,88,30,3,49,13,36,65},
                        {52,70,95,23,4,60,11,42,69,24,68,56,1,32,56,71,37,2,36,91},
                        {22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80},
                        {24,47,32,60,99,3,45,2,44,75,33,53,78,36,84,20,35,17,12,50},
                        {32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70},
                        {67,26,20,68,2,62,12,20,95,63,94,39,63,8,40,91,66,49,94,21},
                        {24,55,58,5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72},
                        {21,36,23,9,75,0,76,44,20,45,35,14,0,61,33,97,34,31,33,95},
                        {78,17,53,28,22,75,31,67,15,94,3,80,4,62,16,14,9,53,56,92},
                        {16,39,5,42,96,35,31,47,55,58,88,24,0,17,54,24,36,29,85,57},
                        {86,56,0,48,35,71,89,7,5,44,44,37,44,60,21,58,51,54,17,58},
                        {19,80,81,68,5,94,47,69,28,73,92,13,86,52,17,77,4,89,55,40},
                        {4,52,8,83,97,35,99,16,7,97,57,32,16,26,26,79,33,27,98,66},
                        {88,36,68,87,57,62,20,72,3,46,33,67,46,55,12,32,63,93,53,69},
                        {4,42,16,73,38,25,39,11,24,94,72,18,8,46,29,32,40,62,76,36},
                        {20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,4,36,16},
                        {20,73,35,29,78,31,90,1,74,31,49,71,48,86,81,16,23,57,5,54},
                        {1,70,54,71,83,51,54,69,16,92,33,48,61,43,52,1,89,19,67,48},
                        };

int s = 0;

int right()
{
    int a = 1;
    int i = 0;
    int n = 0;
    int r = 0;
    int c = 0;

    for(n = 0;n <= 359;n++)
    {
        if(c <= 16)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[r][(c + i)] << " ";
                a *= array[r][(c + i)];
            };
            //cout << a << " ";
            i = 0; c++;
            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0; r++;};
    };

    return s;
};

int left()
{
    int a = 1;
    int i = 0;
    int n = 0;
    int r = 0;
    int c = 19;

    for(n = 0;n <= 359;n++)
    {
        if(c >= 3)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[r][(c - i)] << " ";
                a *= array[r][(c - i)];
            };
            //cout << a << " ";
            i = 0; c--;
            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 19; r++;};
    };

    return s;
};

int down()
{
    int n = 0;
    int i = 0;
    int r = 0;
    int c = 0;
    int a = 1;

    for(n = 0;n <= 356;n++)
    {
        if(c <= 19)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r + i)][c] << " ";
                a *= array[(r + i)][c];
            };
            //cout << a << " ";
            i = 0; c++;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0;
                if(r <= 16){
                    r++;
                    }else{break;};
        };
    };

    return s;
};

int up()
{
    int n = 0;
    int i = 0;
    int r = 19;
    int c = 0;
    int a = 1;

    for(n = 0;n <= 356;n++)
    {
        if(c <= 19)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r - i)][c] << " ";
                a *= array[(r - i)][c];
            };
            //cout << a << " ";
            i = 0; c++;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0;
                if(r >= 3){
                    r--;
                    }else{break;};
        };
    };

    return s;
};

int diag_left_up()
{
    int n = 0;
    int i = 0;
    int r = 19;
    int c = 19;
    int a = 1;

    for(n = 0;n <= 304;n++)
    {
        if(c >= 3 && r >= 3)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r - i)][(c - i)] << " ";
                a *= array[(r - i)][(c - i)];
            };
           //cout << a << " ";
            i = 0; c--;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 19;
                if(r >= 3){
                    r--;
                    }else{break;};
        };
    };

    return s;
};

int diag_left_down()
{
    int n = 0;
    int i = 0;
    int r = 0;
    int c = 19;
    int a = 1;

    for(n = 0;n <= 304;n++)
    {
        if(c >= 3 && r <= 16)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r + i)][(c - i)] << " ";
                a *= array[(r + i)][(c - i)];
            };
            //cout << a << " ";
            i = 0; c--;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 19;
                if(r <= 16){
                    r++;
                    }else{break;};
        };
    };

    return s;
};

int diag_right_up()
{
    int n = 0;
    int i = 0;
    int r = 19;
    int c = 0;
    int a = 1;

    for(n = 0;n <= 304;n++)
    {
        if(c <= 16 && r >= 3)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r - i)][(c + i)] << " ";
                a *= array[(r - i)][(c + i)];
            };
            //cout << a << " ";
            i = 0; c++;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0;
                if(r >= 3){
                    r--;
                    }else{break;};
        };
    };

    return s;
};

int diag_right_down()
{
    int n = 0;
    int i = 0;
    int r = 0;
    int c = 0;
    int a = 1;

    for(n = 0;n <= 304;n++)
    {
        if(c <= 16 && r <= 16)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r + i)][(c + i)] << " ";
                a *= array[(r + i)][(c + i)];
            };
            //cout << a << " ";
            i = 0; c++;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0;
                if(r <= 16){
                    r++;
                    }else{break;};
        };
    };

    return s;
};

int main()
{
    cout << "Result from right():" << '\t' << right();
    cout << endl;
    cout << "Result from left():" << '\t' << left();
    cout << endl;
    cout << "Result from down():" << '\t' << down();
    cout << endl;
    cout << "Result from up():" << '\t' << up();
    cout << endl;
    cout << "Result from diag_right_up(): " << '\t' << diag_right_up();
    cout << endl;
    cout << "Result from diag_right_down(): " << '\t' << diag_right_down();
    cout << endl;
    cout << "Result from diag_left_up(): " << '\t' << diag_left_up();
    cout << endl;
    cout << "Result from diag_left_down(): " << '\t' << diag_left_down();

    cout << endl << endl << "Greatest result: " << s;

    return 0;
}

3 个答案:

答案 0 :(得分:1)

我注意到的第一件事是你有很多基本相同的功能(有些数字不同)。我会调查为该函数添加几个参数,以便您可以描述您的方向。例如,您可以拨打right()traverse(1, 0)而不是traverse(0, -1),而不是拨打up()

您的traverse()函数声明可能如下所示:

int traverse(int dx, int dy)

在内部进行适当的更改,以针对dxdy的不同值调整其行为。

答案 1 :(得分:0)

嗯,首先,你只需要四个方向:右/左,上/下,右上/左下和右下/左上。乘法是可交换的,所以从给定的一对走向哪个方向并不重要(如果你在一个方向上找到“abcd”,你会在相反的方向找到“dcba”,并且当你将它们相乘时得到相同的结果数字在一起)。

其次,使用更具描述性的变量名称。像s这样的变量名称毫无意义;像maximum之类的东西更好,因为它可以告诉你变量的用途。这并不意味着你永远不应该使用单字符变量名称 - 例如,使用i作为for循环计数器是完全正常的,如果你正在处理坐标,xy也可以,但是在可能的情况下,您应该使用描述性名称来使代码更加自我记录。

第三,你可以看看格雷格所建议的内容,并重构你的方法来取代方向。这将允许你抛弃所有类似方法的(并使用不同的参数调用一个方法4次以覆盖所有必要的方向)。

最后,您可能希望对格式更加一致 - 我知道这可能很难开始,但从长远来看它会对您有所帮助。要理解我的意思,请仔细查看从down()方法获取的代码段:

        if(c <= 19)
        {
            for(i = 0;i <= 3;i++)
            {
                //cout << " " << array[(r + i)][c] << " ";
                a *= array[(r + i)][c];
            };
            //cout << a << " ";
            i = 0; c++;

            if(a > s)
            {
                s = a;
                a = 1;
            };
            //cout << s << " " << endl;
            a = 1;
        }else{c = 0;
                if(r <= 16){
                    r++;
                    }else{break;};
        };

注意如何在ifs的开始花括号之前放置换行符,但在一行上写}else{。另外,里面第一个else,你有另一个if-block,你没有在大括号之前放置一个换行符,并且结束括号与块内容(r++;)相同的缩进级别。这是非常不一致的,并且使其更难阅读。

答案 2 :(得分:0)

static void largestProduct11() {
    int[][] arr = {
        {8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8},
        {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 
 62, 0},
        {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 
 36, 65},
        {52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 
 91},
        {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 
 13, 80},
        {24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 
 12, 50},
        {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 
 64, 70},
        {67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 
  21},
        {24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 
 63, 72},
        {21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 
  95},
        {78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 
  92},
        {16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 
  57},
        {86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 
 58},
        {19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 
 40},
        {4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 
   66},
        {88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 
  53, 69},
        {4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 
   36},
        {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 
 36, 16},
        {20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 
  54},
        {1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 
   48}
    };

    /*
     * |A11 A12 A13 *  *  A1N|
     * |A21 A22 A23 *  *  A2N|
     * |A31 A32 A33       A3N|
     *  *                  *
     *  *                  *
     * |An1 A2N A3N *  *  ANN|
     *
     *    */

    String line;
    int[] temp = new int[4];
    int compre = 1;
    int result = 1;

    for (int i = 0; i < arr.length - 3; i++) { // optimize:- the condition is true 
       // if the remaining index are at least four therefore  the length should be reduced by 
       // three that means only the first 16 members can can satisfy the condition 
        for (int j = 0; j < arr[0].length - 3; j++) {  
            result = arr[i][j] * arr[i + 1][j + 1] * arr[i + 2][j + 2] * arr[i + 3][j + 3];
            if (compre < result) {
                compre = result;
            }

        }
    }
  //
  System.out.println(compre  + " Right sie test  ");
    for (int i = 0; i < arr.length - 3; i++) {
        line = "{";
        for (int j = arr[0].length - 1; j > 3; j--) {
            result = arr[i][j] * arr[i + 1][j - 1] * arr[i + 2][j - 2] * arr[i + 3][j 
 - 3];
            if (compre < result) {
                compre = result;
            }
        }

    }

    System.out.println(compre + " final result");  // solution= 70600674
   
   }