第二次期中考 -3 稀疏矩陣

6 like 1 dislike
1.7k 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 | 1.7k 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:172.70.100.121
©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 | 1.9k 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 | 4.6k views
12,783 questions
183,442 answers
172,219 comments
4,824 users