第二次期中考 -3 稀疏矩陣

6 like 1 dislike
381 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 | 381 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:172.70.130.82
©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