一些感悟...

探讨了一道关于使用固定长度木条制作两扇门的框架的问题,通过算法找到所需的最少木条数量。

摘要生成于 C知道 ,由 DeepSeek-R1 满血版支持, 前往体验 >

B. Door Frames
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Petya has equal wooden bars of length n. He wants to make a frame for two equal doors. Each frame has two vertical (left and right) sides of length a and one top side of length b. A solid (i.e. continuous without breaks) piece of bar is needed for each side.

Determine a minimal number of wooden bars which are needed to make the frames for two doors. Petya can cut the wooden bars into any parts, but each side of each door should be a solid piece of a wooden bar (or a whole wooden bar).

Input

The first line contains a single integer n (1 ≤ n ≤ 1 000) — the length of each wooden bar.

The second line contains a single integer a (1 ≤ a ≤ n) — the length of the vertical (left and right) sides of a door frame.

The third line contains a single integer b (1 ≤ b ≤ n) — the length of the upper side of a door frame.

Output

Print the minimal number of wooden bars with length n which are needed to make the frames for two doors.

Examples
input
Copy
8
1
2
output
Copy
1
input
Copy
5
3
4
output
Copy
6
input
Copy
6
4
2
output
Copy
4
input
Copy
20
5
6
output
Copy
2
Note

In the first example one wooden bar is enough, since the total length of all six sides of the frames for two doors is 8.

In the second example 6 wooden bars is enough, because for each side of the frames the new wooden bar is needed.

CF一道水题。。。一开始用贪心一直过不了,先把代码发一下...

#include <iostream>
#include <set>
#include <cmath>
#include <queue>
#include <stack>
#include <vector>
#include <string>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <functional>
#include <map>
using namespace std;
int main ()
{
int n;
int a,b;
cin >> n >> a >> b;
int asum = 4;
int bsum = 2;
int ans = 0;
int t = n;
if(a > b)
{
while(1)
{
while(t >= a && asum > 0)
{
t -= a;
asum--;
if(t <= a)
{
// ans++;
break;
}
}
if(t < b && bsum == 0)
{
ans++;
}
while(t >= b && bsum > 0)
{


t -= b;
bsum--;
if(t < b)
{
ans++;
t = n;
break;
}
}
t = n;
if(asum == 0 && bsum == 0)
{
break;
}


}
}
else
{
while(1)
{
while(t >= b && bsum > 0)
{
t -= b;
bsum--;
if(t < b || bsum == 0)
{
break;
}
}
if(t < a && asum == 0)
{
ans++;
}
while(t >= a && asum > 0)
{


t -= a;
asum--;
if(t < a || asum == 0)
{
ans++;
t = n;
break;
}
}
t = n;
if(asum == 0 && bsum == 0)
{
break;
}


}
}
cout << ans << endl;
}


后来看了大神的代码调用了API的随机函数...

#include <cstdio>  
#include <algorithm>  
#include <ctime>  
using namespace std;  


int d[10];  
int n,a,b,i;  
int len,cnt,ans;  


inline int Min(int x, int y){ return x<y?x:y; }  
int main(){  
while (scanf("%d",&n)==1){  
scanf("%d",&a);  
scanf("%d",&b);  
d[1] = d[2] = d[3] = d[4] = a;  
d[5] = d[6] = b;  
ans = 6; cnt = 10;  
for (srand(time(0)), i = 1000; i--; ){  //因为数据量比较小 循环1000次就OK
random_shuffle(d+1,d+7);  //下标从1开始
cnt = len = 0;  
for (int k=1; k<=6; k++) {  
if (len < d[k]) {len = n; cnt++; }  
len -= d[k];  
}  
ans = Min(ans,cnt);
}  
printf("%d\n",ans);  
}  
return 0;  
}  

有些贪心并不是我们想象中的那么简单...




































评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值