第二次期中考 -3 稀疏矩陣

6 like 1 dislike
401 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 | 401 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:172.70.126.138
©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 | 371 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 | 382 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 | 1.1k views
12,783 questions
183,443 answers
172,219 comments
4,824 users