第二次期中考 -3 稀疏矩陣

6 like 1 dislike
363 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 | 363 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:172.70.100.119
©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 | 358 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 | 355 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 | 925 views
12,783 questions
183,443 answers
172,219 comments
4,824 users