[数论 博弈论] BZOJ 4147 [AMPPZ2014]Euclidean Nim

大搬运术:http://blog.csdn.net/PoPoQQQ/article/details/46549901


#include<cstdio>
#include<cstdlib>
#include<algorithm>
using namespace std;

inline char nc()
{
	static char buf[100000],*p1=buf,*p2=buf;
	if (p1==p2) { p2=(p1=buf)+fread(buf,1,100000,stdin); if (p1==p2) return EOF; }
	return *p1++;
}

inline void read(int &x)
{
	char c=nc(),b=1;
	for (;!(c>='0' && c<='9');c=nc()) if (c=='-') b=-1;
	for (x=0;c>='0' && c<='9';x=x*10+c-'0',c=nc()); x*=b;
}

int n,p,q;

int Gcd(int a,int b){
	if (a<b) return Gcd(b,a);
	return b?Gcd(b,a%b):a;
}

bool Jud(int n,int p,int q)
{
    return n%p<q && n%p%(p-q)==0;
}

int main()
{
	freopen("t.in","r",stdin);
	freopen("t.out","w",stdout);
    int Q;
	read(Q);
	while (Q--)
	{
		read(p); read(q); read(n);
		int g=Gcd(p,q);
		if(n%g) { printf("R\n"); continue; }
		p/=g; q/=g; n/=g;
		if(p==q)
		{
			printf("E\n");
		}
		else if(p>q)
		{
			if(n<p) 
				printf("P\n");
			else 
				printf("%s\n",Jud(n,p,q)?"E":"P");
		}
		else if(n<p)
		{
			if(n+p<q) 
				printf("E\n");
			else 
				printf("%s\n",Jud(n+p,q,p)?"P":"E");
		}
		else 
		{
			printf("E\n");
		}
	}
	return 0;
}


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