UVA 10277 Boastin' Red Socks
#include <iostream>
#include<cstdio>
#include<cstring> using namespace std; unsigned int r,sum,p,q;
unsigned int st[][]; unsigned gcd(unsigned a,unsigned b)
{
return b?gcd(b,a%b):a;
}
/*哈希链表*/
const int HASH=;
int head[HASH],next1[HASH];
int hash1(unsigned int &s)
{
return s%HASH;
}
int insert(int s)
{
int h=hash1(st[s][]);
int u=head[h];
while(u)//链表尾一直是0,所以s不能为0
u=next1[u];
next1[s]=head[h];//原来的链表头成为s的next
head[h]=s;//s成为head[h]的链表头
return ;
}
int find(unsigned int s)
{
int h=hash1(s);
int u=head[h];
while(u)
{
if(st[u][]==s) return u;
u=next1[u];
}
return ;
}
int main()
{
//freopen("/home/user/桌面/in","r",stdin);
while(scanf("%u%u",&p,&q)==&&(p||q))
{
memset(head,,sizeof(head));
unsigned int i=,x,j=;
if(p==)
{
printf("%d %d\n",,);
continue;
}
x=gcd(p,q);
p/=x;q/=x;
for(;i<=;i++)
{
unsigned int t=i*i-i;
if(t%p==)
{
st[j][]=t/p;
st[j][]=i;
insert(j);
j++;
}
if(t%q==&&(x=find(t/q)))
{
printf("%u %u\n",st[x][],i-st[x][]);
break;
}
}
if(i>) puts("impossible");
}
return ;
}
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