HDU 4664 Triangulation(2013多校6 1010题,博弈)
Triangulation
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 96 Accepted Submission(s): 29
No, you are wrong. This is not a computational geometry problem.
Carol
and Dave are playing a game with this points. (Why not Alice and Bob?
Well, perhaps they are bored. ) Starting from no edges, the two players
play in turn by drawing one edge in each move. Carol plays first. An
edge means a line segment connecting two different points. The edges
they draw cannot have common points.
To make this problem a bit
easier for some of you, they are simutaneously playing on N planes. In
each turn, the player select a plane and makes move in it. If a player
cannot move in any of the planes, s/he loses.
Given N and all n's, determine which player will win.
Following are 2*T lines. For every two lines, the first line is N; the second line contains N numbers, n1, ..., nN.
Sum of all N <= 106.
1<=ni<=109.
1
2
2
2 2
Dave
/*
* Author: kuangbin
* Created Time: 2013/8/8 11:54:23
* File Name: 1010.cpp
*/
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <string>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <time.h>
using namespace std;
const int MAXN = ;
int sg[MAXN];
bool vis[MAXN];
int mex(int x)
{ if(sg[x]!=-)return sg[x];
if(x == )return sg[x] = ;
if(x == )return sg[x] = ;
if(x == )return sg[x] = ;
if(x == )return sg[x] = ;
memset(vis,false,sizeof(vis));
for(int i = ;i < x-;i++)
vis[mex(i)^mex(x-i-)] = true;
for(int i = ;;i++)
if(!vis[i])
return sg[x] = i;
} int SG(int x)
{
if(x <= )return sg[x];
else
{
x %= ;
x += *;
return sg[x];
}
} int main()
{
//freopen("in.txt","r",stdin);
//freopen("out.txt","w",stdout);
memset(sg,-,sizeof(sg));
for(int i = ;i <= ;i++)
{
sg[i] = mex(i);
}
int T;
int n;
int a;
scanf("%d",&T);
while(T--)
{
scanf("%d",&n);
int sum = ;
for(int i = ;i < n;i++)
{
scanf("%d",&a);
sum ^= SG(a);
}
if(sum)printf("Carol\n");
else printf("Dave\n");
}
return ;
}
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