Flashing Fluorescents(状压DP)
Flashing Fluorescents
时间限制: 1 Sec 内存限制: 128 MB
提交: 56 解决: 19
[提交] [状态] [讨论版] [命题人:admin]
题目描述
Pushing a button will affect not just the light in question, but all lights down the line. More specifically, if you choose to press the ith button right before the kth timestep, then the (i + m)th light will toggle on the (k + m)th timestep (with i + m ≤ n). For example, if you press button 5 just before time 19, then light 5 will toggle at time 19, light 6 will toggle at time 20, light 7 will toggle at time 21, and so on. If you push a button that will take effect at the same time as its light would have toggled due to an earlier button press, then the two cancel each other out, including subsequent toggles.
Suppose there are three lights, all of which are off at the start. If you press the first button before the first timestep, this will happen in three timesteps:
Now, suppose you press the first button before the first timestep, and then the second button between the first and second timesteps. The button press will cancel out the propagation, and this will happen (note that the propagation will go no further):
Now, suppose you press the first button before the first timestep, and then the third button between the first and second timesteps. All three lights will be on at the second timestep (but not the third):
You wish to turn on all the lights. What is the earliest time you could possibly see all of the lights turned on? Note that if the lights are all on at time t but not at time t + 1 due to this propagation, t is still the correct answer.
输入
输出
样例输入
1101
样例输出
1
思路:从1开始枚举答案,遍历已经存在的状态,同时加入新的状态,直到所有灯泡变亮,即now=0.
AC代码:
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn=(<<);
string s;
int n,vis[maxn];
ll cnt,val;
vector<int> v;
int main()
{
cin>>s;
n=s.size();
for(int i=;i<n;i++)
{
if(s[i]=='') val+=(1ll<<i);
}
if(val==)
{
cout<<""<<endl;
return ;
}
vis[val]=;
cnt=(<<n)-;
v.push_back(val);
for(int ans=;;ans++)
{
ll len=v.size();
ll sec=(<<ans)-;
for(int i=;i<len;i++)
{
ll tmp=v[i];
for(int j=;j<=n;j++)
{
ll now=cnt&(tmp^(sec<<j));
if(vis[now]==)
{
vis[now]=;
if(now==)
{
cout<<ans<<endl;
return ;
}
v.push_back(now);
}
}
}
}
return ;
}
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