http://acm.uestc.edu.cn/#/problem/show/802

Just a Line

Time Limit: 3000/1000MS (Java/Others)     Memory Limit: 65535/65535KB (Java/Others)
Submit Status

There are N points on a plane, among them N−1 points will form a line, your task is to find the point that is not on the line.

Input

The first line contains a single number N, the number of points. (4≤N≤50000)

Then come N lines each with two numbers (xi,yi), giving the position of the points. The points are given in integers. No two points' positions are the same. (−109≤xi,yi≤109)

Output

Output the position of the point that is not on the line.

Sample input and output

Sample Input Sample Output
5
0 0
1 1
3 4
2 2
4 4
3 4

题目很简单,我一直wa的原因在于两点:%g与%.0f没有用好,遇到double型等的整数,别用%g,用%d或%.0f(我一直不晓得%g哪里错了,难道说有的整数强转后还能转出几位小数出来不成);另一点是eps,精度之前调为1e-10竟然精度还不够,以后就直接上-20.

代码1:

 #include <fstream>
#include <iostream>
#include <algorithm>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib> using namespace std; #define PI acos(-1.0)
#define EPS 1e-20
#define lll __int64
#define ll long long
#define INF 0x7fffffff double a[][];
int n; inline double K(int i,int j);//斜率
inline bool F(double i,double j); int main(){
//freopen("D:\\input.in","r",stdin);
//freopen("D:\\output.out","w",stdout);
scanf("%d",&n);
n-=;
for(int i=;i<;i++) scanf("%lf %lf",&a[i][],&a[i][]);
double k01=K(,);
double k02=K(,);
double k03=K(,);
double k12=K(,);
double k13=K(,);
double k23=K(,);
if(F(k01,k02)&&F(k01,k03)&&F(k03,k02)) printf("%.0f %.0f\n",a[][],a[][]);
else if(F(k01,k12)&&F(k01,k13)&&F(k13,k12)) printf("%.0f %.0f\n",a[][],a[][]);
else if(F(k12,k02)&&F(k12,k23)&&F(k23,k02)) printf("%.0f %.0f\n",a[][],a[][]);
else if(F(k03,k13)&&F(k23,k03)&&F(k23,k13)) printf("%.0f %.0f\n",a[][],a[][]);
else{
double k04,k14,k24;
for(int i=;i<n;i++){
scanf("%lf %lf",&a[][],&a[][]);
k04=K(,);
k14=K(,);
k24=K(,);
if(F(k04,k14)&&F(k04,k24)&&F(k14,k24)){
printf("%.0f %.0f\n",a[][],a[][]);
break;
}
}
}
return ;
}
inline double K(int i,int j){
if(a[i][]==a[j][]) return (double)INF;
else return (a[i][]-a[j][])/(a[i][]-a[j][]);
}
inline bool F(double i,double j){
return fabs(i-j)>EPS;
}

代码2:

 #include <fstream>
#include <iostream>
#include <algorithm>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib> using namespace std; #define PI acos(-1.0)
#define EPS 1e-20
#define lll __int64
#define ll long long
#define INF 0x7fffffff
#define INT 2147483646 double a[][];
int n; inline double K(int i,int j); int main(){
//freopen("D:\\input.in","r",stdin);
//freopen("D:\\output.out","w",stdout);
double kk[];
int cnt;
scanf("%d",&n);
for(int i=;i<n;i++) scanf("%lf%lf",&a[i][],&a[i][]);
for(int i=;i<n;i++){
cnt=;
for(int j=;j<;j++){
if(i==j) continue;
kk[cnt++]=K(i,j);
}
if(fabs(kk[]-kk[])>EPS&&fabs(kk[]-kk[])>EPS&&fabs(kk[]-kk[])>EPS){
printf("%.0f %.0f\n",a[i][],a[i][]);
break;
}
}
return ;
}
inline double K(int i,int j){
if(a[i][]==a[j][]) return (double)INT;
else return (a[i][]-a[j][])/(a[i][]-a[j][]);
}

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