第二次期中考 -3 稀疏矩陣

6 like 1 dislike
369 views
如果在矩陣中，多數的元素並沒有資料，稱此矩陣為稀疏矩陣（sparse matrix），由於矩陣在程式中常使用二維陣列表示，二維陣列的大小與使用的記憶體空間成正比，如果多數的元素沒有資料，則會造成記憶體空間的浪費，為 此，必須設計稀疏矩陣的陣列儲存方式，利用較少的記憶體空間儲存完整的矩陣資訊。

在這邊所介紹的方法較為簡單，陣列只儲存矩陣的行數、列數與有資料的索引位置及其值，在需要使用矩陣資料時，再透過程式運算加以還原，例如若矩陣資料如下 ，其中0表示矩陣中該位置沒有資料：

0 0 0 0 0 0
0 3 0 0 0 0
0 0 0 6 0 0
0 0 9 0 0 0
0 0 0 0 12 0

這個矩陣是5X6矩陣，非零元素有4個，您要使用的陣列第一列記錄其列數、行數與非零元素個數：

5 6 4

陣列的第二列起，記錄其位置的列索引、行索引與儲存值：

1 1 3
2 3 6
3 2 9
4 4 12

所以原本要用30個元素儲存的矩陣資訊，現在只使用了15個元素來儲存，節省了不少記憶體的使用。

 

請寫一個程式用上列的方法壓縮稀疏矩陣。

 

輸入說明：

一開始會輸入兩個正整數M N，代表矩陣的大小。接下來會有M行，每行N個數字。

 

輸出說明：

請輸出壓縮過的矩陣

 

輸入範例：

5 6

0 0 0 0 0 0
0 3 0 0 0 0
0 0 0 6 0 0
0 0 9 0 0 0
0 0 0 0 12 0

 

輸出範例：

5 6 4
1 1 3
2 3 6
3 2 9
4 4 12
[Exam] asked in 2017-1 程式設計(一)AD by (18k points)
ID: 36176 - Available when: 2017-12-08 18:30 - Due to: 2017-12-08 21:00 | 369 views

6 Answers

0 like 0 dislike 
Hidden content!
#include <stdio.h>
int main(void)
{
***** *** * *  *     * *  *  A[m][n];
           *   *  * *    ** *  * *  *** * ***   * **** *   ** **
  ***   * *  *  *** *    * * *     ** **  * * **  ********  *
 ************ * * * **  * 
***** ***** * **   **
*   * **** ****   *  * 
   *** * ***   *     * *    
   ** **** * *** *  ***** * * * *****   *  * ** * **** 
***    **  * *** * * ** **   * 
* *  ******* ** **   * ** * *      * **  *  **      
****** *       *** *     * *
    
    return 0; ** *** * *    * *** ** *   **   **  **** * **  ** *  ** 
 }
answered by (144 points)
0 0
prog.c: In function 'main':
prog.c:4:11: error: 'm' undeclared (first use in this function)
     int A[m][n];
           ^
prog.c:4:11: note: each undeclared identifier is reported only once for each function it appears in
prog.c:4:14: error: 'n' undeclared (first use in this function)
     int A[m][n];
              ^
prog.c:11:23: error: expected expression before ')' token
     printf("%d%d%d\n",)
                       ^
commented by (4.3k points)
0 0
prog.c: In function 'main':
prog.c:4:11: error: 'm' undeclared (first use in this function)
     int A[m][n];
           ^
prog.c:4:11: note: each undeclared identifier is reported only once for each function it appears in
prog.c:4:14: error: 'n' undeclared (first use in this function)
     int A[m][n];
              ^
prog.c:11:23: error: expected expression before ')' token
     printf("%d%d%d\n",)
                       ^
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include<stdio.h>

int main(){
    
** *  *****   ** ****  * *   *   a,b,x,y,i=0;
 *  **  ***     ** ****  *  * **** ***  %d",&a,&b);
    
  * ** * * *    * ** * *    * ch[a][b];
    
 * *   ***   ****  * ** **  *    **  *** * 
****  * ** *   *  ***  * ** ** ** * *   **** * **    *   ***   * 
*** ** * * *** * *  **      ** *   ******* *          ****   *** * **   *  ** ***   *  * *    *
  *  *****  * ******   *   *            ** * *   *  **  * * **    *  *  *   *  * *** 
 ** ** ** **  ** *     *** * **         ******     * *** *** *  **  * * 
  **** * ***** *  *      *** * **** *    * **  *** **  *   *** 
* *  ***   * **** ******** * *   ***  ** * **  *   
*  ** **         **   * *   * ** **      %d %d\n",a,b,i);
 *  * **       *****  *   * **  * *** * **  *    
*  ** **** **** * **        *  ***** * **** * * *   ****   
***  ***** *  * ****  *  * * **  ** * *  *   *     *  * * *****   *    *   * *
* *  * *   ** ***** *** **** *   *      *  *  *** *   * **    *  *   * *  *      %d %d\n",x,y,ch[x][y]);}
  * *****   **  * * **   *      *** * *      *   **    * ****   *  
 ****  **** *    *  ** * **        **  *  * *
 * * **    *****  **  **  ***    *     **   * system("pause");
}
answered by (192 points)
edited by
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
* ** *****    * *
answered by (131 points)
0 0
/usr/lib/gcc/x86_64-linux-gnu/6/../../../x86_64-linux-gnu/Scrt1.o: In function `_start':
(.text+0x20): undefined reference to `main'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
**  *  * * * * *  *
int main ()
{
*** **** * * *    *     * M,N;
     * *****   **    *    ** **** *  * * **  *  ***      * *
   * **  ***** **    *        ****    %d",M,N);
 *  *** ** ******* ***   * *  
 * *** * * ***  * * * *        0;
}
answered by (215 points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>

int main()
{
    int row,col;
    while(scanf("%d %d",&row,&col)!=EOF)
    {
   * * ** *** ** *  * * ** *** *   *   **   **  array[row][col];
     *    * * *  *      *  *** * ** * ***   **     save[row*col][3];
  * * *        * ****     **  ***    *** ** *  *  *  i,j,count=0;
***  **   ****    * ****   **** ** * * ***  ** ** *  *  *       
        {
* ** *  * *** * **   ** * ** **  **  * **  * *    ***  *     *  ****** * **** * ****** * *      
**  *   ** **     ****** *      * *  *  ** *  ** * *  ** ** *    ** *******   ****     ** * *** ***   ****    ***   ** ***        * *   ** *    
        }
*     ********   * **** *    *   ****   **   ******* **  **  **  ** *    
        {
      **   ***** **   **  * **** * *** * ** * * *   ** ****          *   *  *   * *** ** **     * * 
    ** *  ** ***  ** * * * **  **   *  **  **    *** *   **** * * *  **       ***** *
   * ******     * *** **   * * ** **   *** *** *****   * * *    ***  ******* **** * **  **** ** *****     ***   * ***   * 
 ****** * ***  *** *    *  ** ***   **  *  ** *** * *  * * ****   **  *    *    *** ****** *       ** ***  
** *    *****  ****  *** ** * * **    *  **  ****** ***  **  ***   * *** **** ** * *** * **** **  * *** *** *    **  *  * *  ** *** ******* * ****** * 
  ****  *    ***  * * ** ** * * *   ** * **  *** *   ******       * *   ** * * * *** **  * ****    ** **     ** **    ***   ** ***** * *   *  * **    * 
***  ** ******  * ** **      ***   * *   ***     **** *** ****  *  *      *   **** ****  ***** * ** * * *** *** ***            ******  ******   * **
   ** *  **   *  ***     *   **  * *  **  ** *** ***   * * **** * ****  ** * **   **  ***    **      ****    ****** * ****   * * * ***  
    * * *     * * **  * *   *  **    * **  * *** **  *   ** **  **  *   ***  * * ** ** * * * ***** ***  * * *    *** **
* * * * ** **  **  ** ***** **  ** *   *** * * * ** * * **  *  ****    **    ***
*    *   *  **** *  * *    ** * ** ** * * * * * ***  *
* * * *  * * *  ***   **  * *    * ***  **   **   ** ***** %d %d\n",row,col,count);
**  *  ** *    **** **  *   *  ** ***     *  *** * ** * *   *   **  * **
        {
***   * *  *    ** *       * * **    * ** * ****   **       *** * *** * ***  ** *   * *  ******  * **
* **** *** ***   **  ** *******  **       *   ****  *  * ** *   **  * * * *     *  * * ** *   * *** * *  **   ********** * *      **  **  ***  *  **    ",save[i][j]);
*** ****   ***   * *   *  ** ** *  *   **  ***** * **   *** *   ** * *     * *     *   *   *   * * * ***** 
   * * * * **** *   ** *   * *   ** ** ** **  * *** *  

    }

    return 0;
}
answered by (114 points)
edited by
0 0
prog.c:1:1: error: expected identifier or '(' before numeric constant
 0 0 0 0 0 0
 ^
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Wrong output
Case 1: Wrong output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>
int main()
{
**** *    **     * * *  **  a,b;
  **   ****      *    *  **    * * ** ** %d",&a,&b);
 *   ***  *  * * **     *  arr[a][b];
    int i,j,count=0;
 * *   ** *** * *   ** *** *** ** ***   *   
    {
 * ** * ** *** * *  ***    **  * ***  ** *    **    *    *   * 
   *  *  * ****  * *  ******      *  ***     *** * **  ***
 *   **  **  **   **  **    ** * *  ****  **** **** ** *   *  *   * * ***  * *   ****    * * * ** *  **  *
 * * * ***** *  * *** ** **  * *** ** * **  ******   *   * *** *  ** **** **    * ******  *   ****   *** *  **
** * ** *** * ** * *     *    * *  *  * *****  ***    * 
    }

* **    * *  *  *  *   * * ** *   * *     ****  *
    {
 * **  *    *  *   *** ** *** *  **   * **** ** **** * *   *     * *  **  *
  ****  *   *  *****  *  * ******   * ***  ** *
   *    *** * ** *  *** **     *  *       *  ***   *     * *** *** *     ** ***
 *      ** **     * ** * **   * ******* ****      *  *     *  *   * *       **  ** **      ***   ** *  **** *    
  *    **    ** * ** * *    ** ***   ** *  *  * *   
    }
**   ***  ***  *** ** ** **   ****  %d %d\n",a,b,count);
**** **   *   * ****   * * *  * *    **  *  *
    {
**    *   **   *     **     *  * *** * ** **     *  * * *    *  **  ***
 ***     *   *** *** *  ****  *** *   *   * *  *   * **** 
 * * *  ***   *    ***** **  *   * **    ** ***** * *  *** *   **       * ***    ** ******   ****
*      ** * **          *** * ***   *   *   * ***  *  *    *   *  * * ** *   *  * ** * * *   ****** * *     ** **    *  * %d %d\n",i,j,arr[i][j]);
 **  *  *** **  * **** * ** *  ***  ***  **** ** ** **
    }
 *    * * *   ***  * * *  **  ** 0;
}
answered by (100 points)
1 0
Case 0: Correct output
Case 1: Correct output
commented by (4.3k points)
Welcome to Peer-Interaction Programming Learning System (PIPLS) LTLab, National DongHwa University
English 中文 Tiếng Việt
IP:172.70.179.85
©2016-2024

Related questions

3 like 0 dislike
5 answers
第二次期中考補考題庫 -3 稀疏矩陣
[Normal] Coding (C) - asked Dec 20, 2017 in 2017-1 程式設計(一)AD by 楊修俊 (30k points)
ID: 38153 - Available when: Unlimited - Due to: Unlimited | 365 views
2 like 0 dislike
5 answers
第二次期中考補考-第五題
[Exam] asked Dec 23, 2017 in 2017-1 程式設計(一)AD by 楊修俊 (30k points)
ID: 38942 - Available when: 2017-12-23 09:00 - Due to: 2017-12-23 12:10 | 362 views
2 like 0 dislike
18 answers
第二次期中考補考-第四題
[Exam] asked Dec 23, 2017 in 2017-1 程式設計(一)AD by 楊修俊 (30k points)
ID: 38941 - Available when: 2017-12-23 09:00 - Due to: 2017-12-23 12:10 | 1k views
12,783 questions
183,443 answers
172,219 comments
4,824 users