2012-07-19 86 views
1

這個問題可以在這裏找到:http://projecteuler.net/problem=11歐拉項目#11。我的程序中的邏輯錯誤?

昨天我看到了項目歐拉和我迷上了它。我編寫了一個代碼來解決問題11,但由於某些原因,我看不到這個問題,答案是錯誤的。

任何人都可以閱讀我的代碼並提出任何建議嗎?

#include <iostream> 
using namespace std; 

int input [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} 
}; 

/* if element is a[i][j], its diagonal to the right is a[i+1][j+1] 
if element is a[i][j], its diagonal to the left is a[i-1][j-1] 
IF element is a[i][j], the element below it is a[i+1][j] 
IF element is a[i][j], the element on right of it is a[i][j+1] 
*/ 


/* 
approach: 

=> find the greatest product of diagonals 
=> find the greatest prodct of elements below each other 
=> find the greatest prodct of element on right of each other 
=> compare them 
*/ 

int main(void) 
{ 

unsigned long hr=0,hb=0,hdr=0, hdl=0; 
//hr is the highest product on the right side traversal 
//similraly for others 


//for diagonal right 
for(int i =0; i<17;i++) //going from 0 to 16 so that we dont land up beyond the array for (i+1),(j+1) etc 
{ 
    for(int j=0;j<17;j++) 
    { 
     if(input[i][j]*input[i+1][j+1]*input[i+2][j+2]*input[i+3][j+3] > hdr) 
     { 
      hdr = input[i][j]*input[i+1][j+1]*input[i+2][j+2]*input[i+3][j+3]; 

     } 
    } 
} 


for(int i =19; i>=3;i--)  //for diagonal left 
{ 
    for(int j=19;j>=3;j--) 
    { 
     if(input[i][j]*input[i-1][j-1]*input[i-2][j-2]*input[i-3][j-3] > hdl) 
     { 
      hdl = input[i][j]*input[i-1][j-1]*input[i-2][j-2]*input[i-3][j-3]; 

     } 
    } 
} 


for(int i =0; i<17;i++)  //for elements below each other 
{ 
    for(int j=0;j<20;j++) 
    { 
     if(input[i][j]*input[i+1][j]*input[i+2][j]*input[i+3][j] > hb) 
     { 
      hb = input[i][j]*input[i+1][j]*input[i+2][j]*input[i+3][j]; 
     } 
    } 
} 

for(int i =0; i<20;i++)  //on right 
{ 
    for(int j=0;j<17;j++) 
    { 
     if(input[i][j]*input[i][j+1]*input[i][j+2]*input[i][j+3] > hr) 
     { 
      hr = input[i][j]*input[i][j+1]*input[i][j]*input[i][j+3]; 
     } 
    } 
} 


if(hdr>hb && hdr > hr && hdr>hdl) 
{ 
    cout<<hdr<<endl; 
} 
else if (hb > hdr && hb > hr && hb>hdl) 
{ 
    cout<<hb<<endl; 
} 
else if(hr>hb && hr> hdr && hr > hdl) 
{ 
    cout<<hr<<endl; 
} 
else 
{ 
    cout<<hdl<<endl; 
} 
return 0; 
} 
+1

你沒有用手輸入所有這些逗號,是嗎? – 2012-07-19 06:14:51

+0

好吧,不,我沒有:)搜索和替換空間.. – 2012-07-19 06:18:42

+0

你爲什麼認爲有一個錯誤? xD – SingerOfTheFall 2012-07-19 06:28:03

回答

0

這是正確的代碼,將工作。我建議任何人試圖解決這個問題,都會花一些時間用鉛筆和紙張來實際看到圖案。問題本身很容易。

#include <iostream> 
using namespace std; 

int input [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}}; 

/* if element is a[i][j], its diagonal to the right is a[i+1][j+1] 
    if element is a[i][j], its diagonal to the left is a[i+1][j-1] 
    IF element is a[i][j], the element below it is a[i+1][j] 
    IF element is a[i][j], the element on right of it is a[i][j+1] 
*/ 


/* 
approach: 

=> find the greatest product of diagonals 
=> find the greatest prodct of elements below each other 
=> find the greatest prodct of element on right of each other 
=> compare them 
*/ 

int main(void) 
{ 

unsigned long hr=0,hb=0,hdr=0, hdl=0; 
//hr is the highest product on the right side traversal 
//similraly for others 


//for diagonal right 
for(int i =0; i<17;i++) //going from 0 to 16 so that we dont land up beyond the  array for (i+1),(j+1) etc 
{ 
    for(int j=0;j<17;j++) 
    { 
     if(input[i][j]*input[i+1][j+1]*input[i+2][j+2]*input[i+3][j+3] > hdr) 
     { 
      hdr = input[i][j]*input[i+1][j+1]*input[i+2][j+2]*input[i+3][j+3]; 

     } 
    } 
} 


for(int i =0; i<17;i++)  //for diagonal left 
{ 
    for(int j=19;j>=3;j--) 
    { 
     if(input[i][j]*input[i+1][j-1]*input[i+2][j-2]*input[i+3][j-3] > hdl) 
     { 
      hdl = input[i][j]*input[i+1][j-1]*input[i+2][j-2]*input[i+3][j-3]; 

     } 
    } 
} 


for(int i =0; i<17;i++)  //for elements below each other 
{ 
    for(int j=0;j<20;j++) 
    { 
     if(input[i][j]*input[i+1][j]*input[i+2][j]*input[i+3][j] > hb) 
     { 
      hb = input[i][j]*input[i+1][j]*input[i+2][j]*input[i+3][j]; 
     } 
    } 
} 

for(int i =0; i<20;i++)  //on right 
{ 
    for(int j=0;j<17;j++) 
    { 
     if(input[i][j]*input[i][j+1]*input[i][j+2]*input[i][j+3] > hr) 
     { 
      hr = input[i][j]*input[i][j+1]*input[i][j]*input[i][j+3]; 
     } 
    } 
} 


if(hdr>hb && hdr > hr && hdr>hdl) 
{ 
    cout<<hdr<<endl; 
} 
else if (hb > hdr && hb > hr && hb>hdl) 
{ 
    cout<<hb<<endl; 
} 
else if(hr>hb && hr> hdr && hr > hdl) 
{ 
    cout<<hr<<endl; 
} 
else 
{ 
    cout<<hdl<<endl; 
} 
return 0; 
}