第二次期中考 -3 稀疏矩陣

6 like 1 dislike
2.1k 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 | 2.1k 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:172.69.17.67
©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 | 1.8k 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 | 2.2k 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 | 6.2k views
12,783 questions
183,442 answers
172,219 comments
4,824 users