計(jì)算幾何
#include <stdio.h>
#include <stdlib.h>

const int LEN = 1010;

struct


{
int flag;
int up;
int down;
}hash[LEN][LEN];
int flag;

struct


{
int x;
int y;
}point[LEN];


void inith ( int n )


{

flag = 1;
for ( int i=0; i<n; i++ )

{
for ( int j=0; j<n; j++ )

{
hash[i][j].flag = 0;
}
}
}

int cmp ( const void *a, const void *b )


{

int ans = *( ( int * )a ) - *( ( int * )b );
if ( ! ans )

{
ans = *( ( int * )a + 1 ) - *( ( int * )b + 1 );
}
return ans;
}

int gdc ( int a, int b )


{
if ( a == 0 )

{
return b;
}
if ( b == 0 )

{
return a;
}
return gdc ( b, a%b );
}

int find ( int n )


{

qsort ( point, n, sizeof ( point[0] ), cmp );

inith ( LEN-1 );
int max = -1;
int temp;
for ( int i=0; i<n; i++ )

{
temp = -1;
for ( int j=i+1; j<n; j++ )

{
int a = point[j].x - point[i].x;
int b = point[j].y - point[i].y;
int pub;
if ( a == 0 )

{
b = 1;
}
else

{
pub = gdc ( a, b );
if ( pub < 0 )

{
pub = -pub;
}
a /= pub;
b /= pub;
}
if ( b < 0 )

{
if ( hash[a][-b].flag != flag )

{
hash[a][-b].up = 0;
hash[a][-b].down = 0;
hash[a][-b].flag = flag;
}
hash[a][-b].down ++;

if ( temp < hash[a][-b].up )

{
temp = hash[a][-b].up;
}
if ( temp < hash[a][-b].down )

{
temp = hash[a][-b].down;
}
}
else

{
if ( hash[a][b].flag != flag )

{
hash[a][b].up = 0;
hash[a][b].down = 0;
hash[a][b].flag = flag;
}
hash[a][b].up ++;

if ( temp < hash[a][b].up )

{
temp = hash[a][b].up;
}
if ( temp < hash[a][b].down )

{
temp = hash[a][b].down;
}
}
}
if ( max < temp + 1 )

{
max = temp + 1;
}
flag ++;
}

return max;
}

int main ()


{

int n;

while ( scanf ( "%d", &n ) != EOF )

{
for ( int i=0; i<n; i++ )

{
scanf ( "%d%d", &point[i].x, &point[i].y );
}

printf ( "%d\n", find ( n ) );
}
return 0;
}



















































































































































































































