第二次期中考 -3 稀疏矩陣

6 like 1 dislike
364 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 | 364 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:172.71.254.97
©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 | 362 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 | 358 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 | 932 views
12,783 questions
183,443 answers
172,219 comments
4,824 users