直接枚举山洞的数量,对每个值枚举点对解同余方程判断即可
好久没写辣结果狂wa不止qaq
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
#include<cstring>
using namespace std;
typedef long long LL;
inline int read()
{
int x=0;bool f=0;char c=getchar();
for (;c<'0'||c>'9';c=getchar()) f=c=='-'?1:0;
for (;c>='0'&&c<='9';c=getchar()) x=x*10+c-'0';
return f?-x:x;
}
const int N=1000000;
int n,ma,C[20],P[20],L[20],k,l,g,r2;
void exgcd(int x,int y)
{
if (!y) {k=1,l=0,g=x;return;}
exgcd(y,x%y);
r2=l;l=k-l*(x/y);k=r2;
}
int main()
{
n=read();
for (int i=1;i<=n;i++)
ma=max(ma,C[i]=read()),P[i]=read(),L[i]=read();
for (int m=ma,da,db,mm,t;m<=N;m++)
{
bool ok=1;
for (int i=1;i<=n&&ok;i++)
for (int j=i+1;j<=n;j++)
{
da=(P[j]-P[i]+m)%m;db=(C[i]-C[j]+m)%m;
exgcd(m,da);
if (db%g) continue;
db/=g;mm=m/g;
t=(LL)l*db%mm;
if (t<0) t+=mm;
if (t<=L[i]&&t<=L[j]) {ok=0;break;}
}
if (ok) {printf("%d\n",m);break;}
}
return 0;
}