#include <cstdio>
#include <cassert>
#include <cctype>
#include <vector>
#include <tuple>
#include <algorithm>
#include <queue>
#include <map>
#define let const auto
#define rep(name,beg,end) for(auto lim_##name = end,name = beg;name <= lim_##name;name++)
#define per(name,beg,end) for(auto lim_##name = end,name = beg;name >= lim_##name;name--)
#define repn(lim) for(auto REPN_lIM = lim,REPN = 1;REPN <= REPN_lIM;REPN++)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define trace() debug("line : %d, Function : %s\n",__LINE__,__FUNCTION__)
constexpr int maxn = 433;
std::vector<std::tuple<int,int,int>> ans;
int n;
struct Point{
int x,y;
bool operator < (const Point &t)const{
if(x != t.x)return x < t.x;
return y < t.y;
}
Point operator + (const Point &t)const{return Point{x + t.x,y + t.y};}
Point operator - (const Point &t)const{return Point{x - t.x,y - t.y};}
bool operator == (const Point &t)const{return x == t.x && y == t.y;}
int operator * (const Point &t)const{
return x * t.y - y * t.x;
}
int h()const{
return (x + 10) * 21 + (y + 10);
}
}p[maxn],seq[233];
Point nxt(const Point a,const Point b,const Point c){
return Point{a.x + b.x - c.x,a.y + b.y - c.y};
}
bool chk(const Point a,const Point b,const Point c){
return !(((b - a) * (c - a) == 0) && ((a - b) * (c - b) == 0) && ((a - c) * (b - c) == 0));
}
void oper(const int a,const int b,const int c){
ans.emplace_back(a,b,c);
p[c] = nxt(p[a],p[b],p[c]);
}
std::map<std::tuple<Point,Point,Point>,std::tuple<int,int,int>> mp;
int top;
std::vector<std::tuple<int,int,int>> bfs(const int a,const int b,const int c){
std::vector<std::tuple<int,int,int>> res;
std::queue<std::tuple<Point,Point,Point,std::tuple<int,int,int>>> q;
q.emplace(p[a],p[b],p[c],std::make_tuple(0,0,0));
while(!q.empty()){
Point pa,pb,pc;
std::tuple<int,int,int> faz;
std::tie(pa,pb,pc,faz) = q.front(); q.pop();
if(pa.x < -20 || pa.y < -20 || pb.x < -20 || pb.y < -20 || pc.x < -20 || pc.y < -20)continue;
if(pa.x >= 5 && pa.y >= 5 && pb.x >= 5 && pb.y >= 5 && pc.x >= 5 && pc.y >= 5){
while(faz != std::make_tuple(0,0,0)){
res.push_back(faz);
if(faz == std::make_tuple(a,b,c))pc = nxt(pa,pb,pc);
if(faz == std::make_tuple(a,c,b))pb = nxt(pa,pc,pb);
if(faz == std::make_tuple(b,c,a))pa = nxt(pb,pc,pa);
faz = mp[{pa,pb,pc}];
}
break;
}
if(mp.find({pa,pb,pc}) != mp.end())continue;
if(mp.find({pa,pc,pb}) != mp.end())continue;
if(mp.find({pb,pa,pc}) != mp.end())continue;
if(mp.find({pb,pc,pa}) != mp.end())continue;
if(mp.find({pc,pa,pb}) != mp.end())continue;
if(mp.find({pc,pb,pa}) != mp.end())continue;
mp[{pa,pb,pc}] = faz;
q.emplace(pa,pb,nxt(pa,pb,pc),std::make_tuple(a,b,c));
q.emplace(pa,nxt(pa,pc,pb),pc,std::make_tuple(a,c,b));
q.emplace(nxt(pb,pc,pa),pb,pc,std::make_tuple(b,c,a));
}
std::reverse(res.begin(),res.end());
return res;
}
int main(){
// std::freopen("paralelogrami.in","r",stdin);
// std::freopen("paralelogrami.out","w",stdout);
std::scanf("%d",&n);
rep(i,1,n)std::scanf("%d %d",&p[i].x,&p[i].y);
bool flg = true;
rep(i,1,n)
flg = flg && (p[i].x >= 0 && p[i].y >= 0);
if(flg){
std::puts("0");
return 0;
}
int perm[] = {-1,-1,-1,-1};
[&perm](){
rep(i,1,n)
rep(j,i + 1,n)
rep(k,j + 1,n)
if(chk(p[i],p[j],p[k])){
perm[1] = i;
perm[2] = j;
perm[3] = k;
return;
}
}();
if(perm[1] == -1){
std::puts("-1");
return 0;
}
let vec = bfs(perm[1],perm[2],perm[3]);
// return 0;
// assert(!vec.empty());
for(let &p : vec)
oper(std::get<0>(p),std::get<1>(p),std::get<2>(p));
// assert(p[perm[1]].x >= 0);
// assert(p[perm[1]].y >= 0);
let move_vec = [&perm](const int a,const int b,const int c){
oper(perm[b],perm[c],perm[a]);
oper(perm[a],perm[b],perm[c]);
};
let other = [](const int a,const int b){
if(1 != a && 1 != b)return 1;
if(2 != a && 2 != b)return 2;
if(3 != a && 3 != b)return 3;
return -1;
};
// debug("(%d,%d) (%d,%d) (%d,%d)\n",p[perm[1]].x,p[perm[1]].y,p[perm[2]].x,p[perm[2]].y,p[perm[3]].x,p[perm[3]].y);
let a = perm[1],b = perm[2],c = perm[3];
rep(i,1,n)
if(i != a && i != b && i != c){
if(chk(p[a],p[b],p[i]))oper(a,b,i);
else if(chk(p[b],p[c],p[i]))oper(b,c,i);
else if(chk(p[a],p[c],p[i]))oper(a,c,i);
}
rep(i,1,n)
assert(p[i].x >= 0),
assert(p[i].y >= 0);
std::printf("%d\n",(int)ans.size());
for(let &t : ans)
std::printf("%d %d %d\n",std::get<0>(t),std::get<1>(t),std::get<2>(t));
std::fclose(stdin);
std::fclose(stdout);
return 0;
}
Compilation message
paralelogrami.cpp: In function 'int main()':
paralelogrami.cpp:126:6: warning: variable 'move_vec' set but not used [-Wunused-but-set-variable]
126 | let move_vec = [&perm](const int a,const int b,const int c){
| ^~~~~~~~
paralelogrami.cpp:131:6: warning: variable 'other' set but not used [-Wunused-but-set-variable]
131 | let other = [](const int a,const int b){
| ^~~~~
paralelogrami.cpp:92:12: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
92 | std::scanf("%d",&n);
| ~~~~~~~~~~^~~~~~~~~
paralelogrami.cpp:93:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | rep(i,1,n)std::scanf("%d %d",&p[i].x,&p[i].y);
| ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
292 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
292 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
4 ms |
412 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
4 ms |
424 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
3 ms |
516 KB |
Output is correct |
3 |
Correct |
1 ms |
300 KB |
Output is correct |