第二次期中考 -3 稀疏矩陣

6 like 1 dislike
889 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 | 889 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:172.70.43.157
©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 | 774 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 | 890 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 | 2.4k views
12,783 questions
183,443 answers
172,219 comments
4,824 users