第二次期中考 -3 稀疏矩陣

6 like 1 dislike
849 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 | 849 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:172.71.254.95
©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 | 692 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 | 833 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 | 2.2k views
12,783 questions
183,443 answers
172,219 comments
4,824 users