60 lines
1.7 KiB
C++
60 lines
1.7 KiB
C++
#include<algorithm>
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#include<stdlib.h>
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#include<iostream>
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#include<string.h>
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#include<stdio.h>
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using namespace std;
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#define eps 1e-10
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#define N 100015
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#define db double
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db ans,p1,p2,win1,win2,win_num[2][2][2],dp[2][2][2];
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int sign(db x){
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return (x > eps) - (x < -eps);
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}
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void dfs(int pl1,db p,int pl2,int v,int s){
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if((pl1 == 6&&pl2 <= 4)||pl1 == 7){
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win_num[s][0][v] += p*(pl1+pl2)*5.;
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dp[s][0][v] += p;
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return ;
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}
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if((pl2 == 6&&pl1 <= 4)||pl2 == 7){
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win_num[s][1][v] += p*(pl1+pl2)*5.;
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dp[s][1][v] += p;
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return ;
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}
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if(v) dfs(pl1,p*p2,pl2+1,v^1,s),dfs(pl1+1,p*(1.-p2),pl2,v^1,s);
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else dfs(pl1+1,p*p1,pl2,v^1,s),dfs(pl1,p*(1.-p1),pl2+1,v^1,s);
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}
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void dfs2(int l1,int l2,db pl1,db p,db pl2,int v){
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if(l1 == 3||l2 == 3){
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ans += p*(pl1+pl2);
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return ;
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}
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dfs2(l1+1,l2,pl1+win_num[v][0][0],dp[v][0][0]*p,pl2,0);
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dfs2(l1+1,l2,pl1+win_num[v][0][1],dp[v][0][1]*p,pl2,1);
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dfs2(l1,l2+1,pl1,dp[v][1][0]*p,pl2+win_num[v][1][0],0);
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dfs2(l1,l2+1,pl1,dp[v][1][1]*p,pl2+win_num[v][1][1],1);
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}
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char s[256];
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int main()
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{
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int T,cas = 1;
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int i,j,k;
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scanf("%d",&T);
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while(T--)
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{
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scanf("%s%s%lf",&s,&s,&p1);
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scanf("%s%s%lf",&s,&s,&p2);
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p1 /= 100.;
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p2 /= 100.;
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ans = 0.;
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for(i = 0; i < 2; i ++) for(j = 0; j < 2; j ++) for(k = 0; k < 2; k ++) win_num[i][j][k] = dp[i][j][k] = 0.;
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dfs(0,1.,0,0,0);
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dfs(0,1.,0,1,1);
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for(i = 0; i < 2; i ++) for(j = 0; j < 2; j ++) for(k = 0; k < 2; k ++) if(sign(dp[i][j][k])) win_num[i][j][k] /= dp[i][j][k];
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dfs2(0,0,0.,1.,0.,0);
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printf("Case #%d: %.6lf\n",cas++,ans);
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}
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return 0;
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}
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