一个计算机和的题目,要做的事最多有多少个点共线,做法是对线段进行排序,然后查找。注意HASH。
#include
<
stdio.h
>
#include < stdlib.h >
typedef struct
{
int x;
int y;
int addr;
} point;
point p[ 701 ];
typedef struct
{
point b;
point e;
} type;
type line[ 250000 ];
void cpy ( point * a, const point * b )
{
a->x = b->x;
a->y = b->y;
a->addr = b->addr;
}
int mul ( type * l1, type * l2 )
{
int x1 = l1->e.x - l1->b.x;
int y1 = l1->e.y - l1->b.y;
int x2 = l2->e.x - l2->b.x;
int y2 = l2->e.y - l2->b.y;
return x1 * y2 - x2 * y1;
}
int cmp1 ( const void * a, const void * b )
{
int ans = ( ( point * )a )->x - ( ( point * )b )->x;
if ( ! ans )
{
ans = ( ( point * )a )->y - ( ( point * )b )->y;
}
return ans;
}
int cmp2 ( const void * a, const void * b )
{
type *c = ( type * )a;
type *d = ( type * )b;
type f;
int ans = - mul ( c, d );
if ( !ans )
{
cpy ( &f.b, &( c->e ) );
cpy ( &f.e, &( d->b ) );
ans = - mul ( c, &f );
}
return ans;
}
int hash[ 701 ];
void init ( int n )
{
for ( int i=0; i<n; i++ )
{
hash[i] = 0;
}
}
int main ()
{
int n;
int addr;
int max;
int count;
int number;
while ( 1 )
{
scanf ( "%d", &n );
if ( n == 0 )
{
break;
}
for ( int i=0; i<n; i++ )
{
scanf ( "%d%d", &p[i].x, &p[i].y );
p[i].addr = i;
}
qsort ( p, n, sizeof ( point ), cmp1 );
addr = 0;
for ( i=0; i<n-1; i++ )
{
for ( int j=i+1; j<n; j++ )
{
cpy ( &line[addr].b, &p[i] );
cpy ( &line[addr].e, &p[j] );
addr ++;
}
}
qsort ( line, addr, sizeof ( type ), cmp2 );
number = 1;
max = -1;
init (n);
count = 2;
hash[ line[0].b.addr ] = number;
hash[ line[0].e.addr ] = number;
if ( count > max )
{
max = count;
}
for ( i=1; i<addr; i++ )
{
if ( ! cmp2 ( &line[i], &line[i-1] ) )
{
if ( hash[ line[i].b.addr ] != number )
{
count ++;
hash[ line[i].b.addr ] = number;
}
if ( hash[ line[i].e.addr ] != number )
{
count ++;
hash[ line[i].e.addr ] = number;
}
}
else
{
if ( count > max )
{
max = count;
}
number ++;
count = 2;
hash[ line[i].b.addr ] = number;
hash[ line[i].e.addr ] = number;
}
}
if ( count > max )
{
max = count;
}
printf ( "%d\n", max );
}
return 0;
}
#include < stdlib.h >
typedef struct
{
int x;
int y;
int addr;
} point;
point p[ 701 ];
typedef struct
{
point b;
point e;
} type;
type line[ 250000 ];
void cpy ( point * a, const point * b )
{
a->x = b->x;
a->y = b->y;
a->addr = b->addr;
}
int mul ( type * l1, type * l2 )
{
int x1 = l1->e.x - l1->b.x;
int y1 = l1->e.y - l1->b.y;
int x2 = l2->e.x - l2->b.x;
int y2 = l2->e.y - l2->b.y;
return x1 * y2 - x2 * y1;
}
int cmp1 ( const void * a, const void * b )
{
int ans = ( ( point * )a )->x - ( ( point * )b )->x;
if ( ! ans )
{
ans = ( ( point * )a )->y - ( ( point * )b )->y;
}
return ans;
}
int cmp2 ( const void * a, const void * b )
{
type *c = ( type * )a;
type *d = ( type * )b;
type f;
int ans = - mul ( c, d );
if ( !ans )
{
cpy ( &f.b, &( c->e ) );
cpy ( &f.e, &( d->b ) );
ans = - mul ( c, &f );
}
return ans;
}
int hash[ 701 ];
void init ( int n )
{
for ( int i=0; i<n; i++ )
{
hash[i] = 0;
}
}
int main ()
{
int n;
int addr;
int max;
int count;
int number;
while ( 1 )
{
scanf ( "%d", &n );
if ( n == 0 )
{
break;
}
for ( int i=0; i<n; i++ )
{
scanf ( "%d%d", &p[i].x, &p[i].y );
p[i].addr = i;
}
qsort ( p, n, sizeof ( point ), cmp1 );
addr = 0;
for ( i=0; i<n-1; i++ )
{
for ( int j=i+1; j<n; j++ )
{
cpy ( &line[addr].b, &p[i] );
cpy ( &line[addr].e, &p[j] );
addr ++;
}
}
qsort ( line, addr, sizeof ( type ), cmp2 );
number = 1;
max = -1;
init (n);
count = 2;
hash[ line[0].b.addr ] = number;
hash[ line[0].e.addr ] = number;
if ( count > max )
{
max = count;
}
for ( i=1; i<addr; i++ )
{
if ( ! cmp2 ( &line[i], &line[i-1] ) )
{
if ( hash[ line[i].b.addr ] != number )
{
count ++;
hash[ line[i].b.addr ] = number;
}
if ( hash[ line[i].e.addr ] != number )
{
count ++;
hash[ line[i].e.addr ] = number;
}
}
else
{
if ( count > max )
{
max = count;
}
number ++;
count = 2;
hash[ line[i].b.addr ] = number;
hash[ line[i].e.addr ] = number;
}
}
if ( count > max )
{
max = count;
}
printf ( "%d\n", max );
}
return 0;
}