第二次期中考 -3 稀疏矩陣

6 like 1 dislike
2.3k 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 | 2.3k 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:104.23.190.140
©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 | 2.1k 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 | 2.6k 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 | 6.9k views
12,783 questions
183,442 answers
172,219 comments
4,824 users