• hdu 4576 概率dp **


    题意:Michael has a telecontrol robot. One day he put the robot on a loop with n cells. The cells are numbered from 1 to n clockwise.



    At first the robot is in cell 1. Then Michael uses a remote control to send m commands to the robot. A command will make the robot walk some distance. Unfortunately the direction part on the remote control is broken, so for every command the robot will chose a direction(clockwise or anticlockwise) randomly with equal possibility, and then walk w cells forward.
    Michael wants to know the possibility of the robot stopping in the cell that cell number >= l and <= r after m commands.

    链接:点我

    时间上卡的有点紧

     1 #include<cstdio>
     2 #include<iostream>
     3 #include<algorithm>
     4 #include<cstring>
     5 #include<cmath>
     6 #include<queue>
     7 #include<map>
     8 using namespace std;
     9 #define MOD 1000000007
    10 const int INF=0x3f3f3f3f;
    11 const double eps=1e-5;
    12 typedef long long ll;
    13 #define cl(a) memset(a,0,sizeof(a))
    14 #define ts printf("*****
    ");
    15 const int MAXN=220;
    16 int n,m,tt;
    17 double dp[2][MAXN];
    18 int a[MAXN];
    19 int main()
    20 {
    21     int i,j,k;
    22     #ifndef ONLINE_JUDGE
    23     freopen("1.in","r",stdin);
    24     #endif
    25     int x,l,r;
    26     while(scanf("%d%d%d%d",&n,&m,&l,&r)!=EOF)
    27     {
    28         if(n==0&&m==0&&l==0&&r==0)break;
    29         dp[0][0]=1;
    30         for(i=1;i<=n;i++)    dp[0][i]=0;
    31         int now=0;
    32         while(m--)
    33         {
    34             scanf("%d",&x);
    35             for(i=0;i<n;i++)
    36             {
    37                 dp[now^1][i]=0;
    38             }
    39             for(i=0;i<n;i++)
    40             {
    41                 if(dp[now][i]==0)   continue;
    42                 dp[now^1][((i-x)%n+n)%n]+=0.5*dp[now][i];
    43                 dp[now^1][(i+x)%n]+=0.5*dp[now][i];
    44             }
    45             now^=1;
    46         }
    47         double ans=0;
    48         for(i=l-1;i<r;i++)
    49         {
    50             ans+=dp[now][i];
    51         }
    52         printf("%.4lf
    ",ans);
    53     }
    54 }
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  • 原文地址:https://www.cnblogs.com/cnblogs321114287/p/4623711.html
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