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:172.69.6.173
©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