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【每日编程-21期】HD上机题(三)

  • 2026-01-14 02:24:03
【每日编程-21期】HD上机题(三)
HD上机题(三)

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有一个M*N的材料和一个s*t的模板,从材料中切除模板,求最大能切出来的模板的数量。

输入格式:

第一行 M N

下面的M行N列:材料的具体内容

s 和 t

下面的s行t列:模板材料的具体内容

输出格式:

最大能切出来的模板的数量

输入样例:

3 4a b c dc d a ba c c d2 2a bc d

输出样例:

2
解决方法:

(1)算法的基本思想:

1.定义两个字符数组将这两幅图存储起来;

2.使用一个判断模块,当进行搜索的时候,判断该位置是否合法(也就是以该位置为起点的s*t图形是否能和输入的s*t图形恰好匹配);3. 构造一个初始化模块,当位置合法的时候,可以选择使用或者不使用这种位置;

4.采用深度搜索方式,逐行进行扫描。 (1) 如果到某一位置,判断时合法。我们采取两种行动(要么将大图中匹配的位置标记为0,然后继续深度搜索,要么就当什么事都没有发生,继续逐行扫描)采取这两种操作的原因是,我们不知道哪种操作是更好的结果,所以我们就都试试;

(2)当该行扫描完之后,进入下一行继续进行扫描;

(3)程序出口是扫描到了最后一行;

(4)因为递归过程中遍历了所有的可能,如果遇到更优解,我们需要进行答案的更新。

(2)代码实现:

#include<iostream>#include<string.h>usingnamespacestd;#define MAX 100charmap[MAX][MAX], mapb[MAX][MAX];char temp[MAX][MAX]; //记录中间图的变换,方便在递归中的回溯进行使用int M, N, s, t;      //分别为这两个图形的长和宽int Max, ans;        //分别记录每次遍历的最大块儿数和最终答案booljudge(charmap[][MAX], int i, int j){int x = i;int y = j;              //x来表示行数,y来表示列数for (i = 0; i < s; i++) //判断两个图是否匹配for (j = 0; j < t; j++)if (map[x + i][y + j] != mapb[i][j])returnfalse;returntrue;}//将已经遍历过的位置标记voidinit_temp(int x, int y){for (int i = 0; i < M; i++)for (int j = 0; j < N; j++)            temp[i][j] = map[i][j];for (int i = 0; i < s; i++)for (int j = 0; j < t; j++)            temp[x + i][y + j] = '0';}voiddfs(charmap[][MAX], int x, int y, int Max){if (ans < Max) //ans来记录块的数量        ans = Max;if (x >= M)    { //记录递归出口,走到最后一行就返回return;    }for (int i = y; i < N; i++)    { //对x行的每一列都进行搜索if (judge(map, x, i))        { //满足判断进行下一步递归            init_temp(x, i);            dfs(temp, x, i + t, Max + 1); //将遍历过的位置标记,然后继续遍历        }    }    dfs(map, x + 10, Max);}intmain(){//输入M*N材料的信息cin >> M >> N;for (int i = 0; i < M; i++)for (int j = 0; j < N; j++)cin >> map[i][j];//输入s*t材料的信息cin >> s >> t;for (int i = 0; i < s; i++)for (int j = 0; j < t; j++)cin >> mapb[i][j];    ans = 0;    Max = 0;    dfs(map000);cout << ans << endl;    system("pause");return0;}
明日预告:HD上机题(一)

给一个小学生都会算的 1 位数与 1 位数运算的代数式,请你求出这个表达式的值。

表达式仅含’+‘、’-‘、’*‘、’/‘四种运算,题目保证 0 不为除数。

输入格式:

表达式

输出格式:

表达式的值

输入样例:

1+13*4

输出样例:

212

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  1. CONNECT:[ UseTime:0.000608s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000799s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.003382s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000327s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000767s ]
  6. SELECT * FROM `set` [ RunTime:0.004953s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001024s ]
  8. SELECT * FROM `article` WHERE `id` = 462456 LIMIT 1 [ RunTime:0.006272s ]
  9. UPDATE `article` SET `lasttime` = 1770561195 WHERE `id` = 462456 [ RunTime:0.003367s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.002003s ]
  11. SELECT * FROM `article` WHERE `id` < 462456 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.002578s ]
  12. SELECT * FROM `article` WHERE `id` > 462456 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.005811s ]
  13. SELECT * FROM `article` WHERE `id` < 462456 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.026811s ]
  14. SELECT * FROM `article` WHERE `id` < 462456 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.054286s ]
  15. SELECT * FROM `article` WHERE `id` < 462456 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.073551s ]
0.292367s