https://www.luogu.org/problemnew/show/P1214
题解:枚举前两个数,即可推出公差,从而推出整个数列,判断即可。
/*
*@Author: STZG
*@Language: C++
*/
#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
//#define DEBUG
#define RI register int
using namespace std;
typedef long long ll;
//typedef __int128 lll;
const int N=200000+10;
const int M=100000+10;
const int MOD=1e9+7;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
int t,n,m,k,q;
int ans,cnt,flag,temp,sum;
int a[N];
bool vis[N];
char str;
struct node{
int a,b;
bool operator <(const node&S)const{
if(b==S.b)
return a<S.a;
return b<S.b;
}
}e[N];
int main()
{
#ifdef DEBUG
freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
#endif
//ios::sync_with_stdio(false);
//cin.tie(0);
//cout.tie(0);
//scanf("%d",&t);
//while(t--){
scanf("%d%d",&n,&m);
for(int i=0;i<=m;i++){
for(int j=i;j<=m;j++){
if(!vis[i*i+j*j])a[++cnt]=i*i+j*j;
vis[a[cnt]]=1;
}
}
sort(a+1,a+cnt+1);
for(int i=1;i<=cnt-n+1;i++){
for(int j=i+1;j<=cnt-n+2;j++){
int d=a[j]-a[i];
flag=1;
if(a[i]+(n-1)*d>a[cnt])
break;
for(int k=0;k<n;k++){
temp=a[i]+k*d;
if(!vis[temp]){
flag=0;
break;
}
}
if(flag){
e[++ans].a=a[i];
e[ans].b=d;
}
}
}
if(!ans)
cout<<"NONE"<<endl;
sort(e+1,e+ans+1);
for(int i=1;i<=ans;i++){
printf("%d %d\n",e[i].a,e[i].b);
}
//}
#ifdef DEBUG
printf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC);
#endif
//cout << "Hello world!" << endl;
return 0;
}