2024-2-27-1221-四平方和-二分版本.cpp

2024-2-27-1221-四平方和-二分版本.cpp

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#include<cstdio>
#include<algorithm>
#include<cstring>
#include<iostream>
using namespace std;
const int N=2500010;
struct sum{
int s,c,d;
bool operator< (const sum &t)const
{
if(s!=t.s)return s<t.s;
if(s!=t.c)return c<t.c;
return d<t.s;
}
}sum[N];
int n,m;
int q[N];
int main() //二分版本
{
cin>>n;
for(int c=0;c*c<=n;c++)
for(int d=c;c*c+d*d<=n;d++)
sum[m++]={c*c+d*d,c,d};
sort(sum,sum+m);
for(int a=0;a*a<=n;a++)
for(int b=a;b*b+a*a<=n;b++)
{
int t=n-a*a-b*b;
int l=0,r=m;
while(r>l)
{int mid=(r+l)>>1;
if(sum[mid].s>=t)
r=mid;
else l=mid+1;

}
if(sum[l].s==t)
{
printf("%d %d %d %d\n",a,b,sum[l].c,sum[l].d);
return 0;
}
}
return 0;
}