poj 2007 Scrambled Polygon(凸多边形顶点输出)
描述:从(0,0)点开始输入一个凸多边形,这个凸多边形,占有三个象限,按照逆时针的方式输出各定点。
输出例子:
Sample Input
0 0
70 -50
60 30
-30 -50
80 20
50 -60
90 -20
-30 -40
-10 -60
90 10
Sample Output
(0,0)
(-30,-40)
(-30,-50)
(-10,-60)
(50,-60)
(70,-50)
(90,-20)
(90,10)
(80,20)
(60,30)
思路:从上图可以看出各象限都是斜率递增方式,建立4个vector对应四个象限,然后分别将各象限的点存储到相应的vector,最后对vector中的数据排序输出。(思路比较水)
代码:
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#include<iostream>
#include<cstdio>
#include<cmath>
#include<vector>
#include<algorithm>
using namespace std;
struct Vertice{
int x,y;
};
bool operator<(const Vertice &a, const Vertice &b)
{
return atan2((double)a.y, (double)a.x)<atan2((double)b.y, (double)b.x);
}
int main()
{
Vertice point;
vector<Vertice> ivec[4];
int i=0;
while(scanf("%d%d", &point.x, &point.y)!= EOF){
//while(i++<10){
//scanf("%d%d", &point.x, &point.y);
if(point.x>0&&point.y>0)
ivec[0].push_back(point);
else if(point.x<0&&point.y>0)
ivec[1].push_back(point);
else if(point.x<0&&point.y<0)
ivec[2].push_back(point);
else if(point.x>0&&point.y<0)
ivec[3].push_back(point);
}
for(int i=0;i<4;i++){
if(ivec[i].size()!=0){
sort(ivec[i].begin(),ivec[i].end());
}
}
cout<<"(0,0)"<<endl;
int begin;
for(int i=0;i<4;i++){//找出凸边形的起始点
if(ivec[i].size()==0){
begin = (i+1)%4;
break;
}
}
for(int i=0;i<3;i++){
int t = (begin+i)%4;
if(ivec[t].size()!=0){
vector<Vertice>::iterator it;
for(it=ivec[t].begin();it!=ivec[t].end();it++){
cout<<"("<<it->x<<","<<it->y<<")"<<endl;
}
}
}
system("pause");
return 0;
}
#include<iostream>
#include<cstdio>
#include<cmath>
#include<vector>
#include<algorithm>
using namespace std;
struct Vertice{
int x,y;
};
bool operator<(const Vertice &a, const Vertice &b)
{
return atan2((double)a.y, (double)a.x)<atan2((double)b.y, (double)b.x);
}
int main()
{
Vertice point;
vector<Vertice> ivec[4];
int i=0;
while(scanf("%d%d", &point.x, &point.y)!= EOF){
//while(i++<10){
//scanf("%d%d", &point.x, &point.y);
if(point.x>0&&point.y>0)
ivec[0].push_back(point);
else if(point.x<0&&point.y>0)
ivec[1].push_back(point);
else if(point.x<0&&point.y<0)
ivec[2].push_back(point);
else if(point.x>0&&point.y<0)
ivec[3].push_back(point);
}
for(int i=0;i<4;i++){
if(ivec[i].size()!=0){
sort(ivec[i].begin(),ivec[i].end());
}
}
cout<<"(0,0)"<<endl;
int begin;
for(int i=0;i<4;i++){//找出凸边形的起始点
if(ivec[i].size()==0){
begin = (i+1)%4;
break;
}
}
for(int i=0;i<3;i++){
int t = (begin+i)%4;
if(ivec[t].size()!=0){
vector<Vertice>::iterator it;
for(it=ivec[t].begin();it!=ivec[t].end();it++){
cout<<"("<<it->x<<","<<it->y<<")"<<endl;
}
}
}
system("pause");
return 0;
}
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View Code
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <algorithm>
using namespace std;
#define maxn 55
#define pi acos(-1)
struct Point
{
int x, y;
} point[maxn];
bool operator <(const Point &a, const Point &b)
{
return atan2(a.y, a.x) < atan2(b.y, b.x);
}
double cal(double a)
{
if (a < 0)
return a + 2 * pi;
return a;
}
int main()
{
//freopen("t.txt", "r", stdin);
scanf("%d%d", &
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