Three Points On A Line

时间限制 1000 ms 内存限制 65536 KB

题目描述

Given points on a 2D plane, judge whether there're three points that locate on the same line.

输入格式

The number of test cases T(1≤T≤10) appears in the first line of input.

Each test case begins with the number of points N(1≤N≤100). The following N lines describe the coordinates (xi,yi) of each point, in accuracy of at most 3 decimals. Coordinates are ranged in [−104,104].

输出格式

For each test case, output Yes if there're three points located on the same line, otherwise output No.

输入样例

2
3
0.0 0.0
1.0 1.0
2.0 2.0
3
0.001 -2.000
3.333 4.444
1.010 2.528

输出样例

Yes
No

AC代码

#include <stdio.h>
float x[110],y[110];
int main(){
    int t,n;
 
    scanf("%d",&t);
    while(t--){
        int flag = 0;
        scanf("%d",&n);
        for(int i=0;i<n;i++){
            scanf("%f %f",&x[i],&y[i]);
        }
        for(int i=0;i<n&&!flag;i++){
            for(int j=i+1;j<n&&!flag;j++){
                for(int k=j+1;k<n&&!flag;k++){
                    if((y[k]-y[i])/(x[k]-x[i])==(y[j]-y[i])/(x[j]-x[i]))
                        flag=1;
 
                }
            }
        }
        if(flag){
            printf("Yes\n");
        }else{
            printf("No\n");
        }
    }
    return 0;
}