hdu4576 Robot
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Robot
Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 102400/102400 K (Java/Others)Total Submission(s): 359 Accepted Submission(s): 139
Problem Description
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.
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.
Input
There are multiple test cases.
Each test case contains several lines.
The first line contains four integers: above mentioned n(1≤n≤200) ,m(0≤m≤1,000,000),l,r(1≤l≤r≤n).
Then m lines follow, each representing a command. A command is a integer w(1≤w≤100) representing the cell length the robot will walk for this command.
The input end with n=0,m=0,l=0,r=0. You should not process this test case.
Each test case contains several lines.
The first line contains four integers: above mentioned n(1≤n≤200) ,m(0≤m≤1,000,000),l,r(1≤l≤r≤n).
Then m lines follow, each representing a command. A command is a integer w(1≤w≤100) representing the cell length the robot will walk for this command.
The input end with n=0,m=0,l=0,r=0. You should not process this test case.
Output
For each test case in the input, you should output a line with the expected possibility. Output should be round to 4 digits after decimal points.
Sample Input
3 1 1 215 2 4 4120 0 0 0
Sample Output
0.50000.2500这题也是re了不知道多少次啊,题意还是很简单的,刚开始以为是搜索啊什么的,后来发现,不用考虑最后,注意,一定要一边加,一边除2,那么最后,不就是结果了么,因为,数据是太大了!只需要用前一个状态,左右走几步就可以推出下一个状态!这样,用dp,就可以过了啊!#include <iostream>#include <string.h>#include <stdio.h>using namespace std;#define MAXN 2200double prime[MAXN][2];int mand;int main(){ int n,m,l,r,flag,minx,maxx,i,j; double sum; while(scanf("%d%d%d%d",&n,&m,&l,&r)!=EOF) { if(n==0&&m==0&&l==0&&r==0) break; flag=1; for(j=0;j<=n;j++) prime[j][flag]=0; prime[0][1]=1; for(i=0;i<m;i++) { flag=flag^1; for(j=0;j<=n;j++) prime[j][flag]=0; scanf("%d",&mand); for(j=0;j<n;j++) { if(prime[j][flag^1]==0) continue; minx=j-mand; if(minx<0) minx=(n+(minx)%n)%n; maxx=j+mand; if(maxx>=n) { maxx=maxx%n; } prime[maxx][flag]+=prime[j][flag^1]*0.5; prime[minx][flag]+=prime[j][flag^1]*0.5; } } for(sum=0,i=l-1;i<r;i++) { sum+=prime[i][flag]; } printf("%.4f\n",sum); } return 0;}
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