第二次期中考 -3 稀疏矩陣

6 like 1 dislike
1.9k 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 | 1.9k 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:172.69.59.235
©2016-2025

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 | 1.6k 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 | 2k 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 | 5.1k views
12,783 questions
183,442 answers
172,219 comments
4,824 users