#include <cstdio>
#include <cassert>
#include <cstdlib>
#include <vector>
#include <set>
#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__)
using ci = const int;
constexpr int maxn = 1e5 + 100;
struct Seg{
#define ls (x << 1)
#define rs (x << 1 | 1)
static const int M = 100000;
std::set<int> s[maxn << 2];
void ins(ci a,ci b,ci v,ci l = 1,ci r = M,ci x = 1){
if(a <= l && b >= r){
s[x].insert(v);
return;
}
let mid = (l + r) >> 1;
if(a <= mid)ins(a,b,v,l,mid,ls);
if(b > mid)ins(a,b,v,mid + 1,r,rs);
}
bool query(ci p,ci a,ci b,ci l = 1,ci r = M,ci x = 1){
let it = s[x].lower_bound(a);
if(it != s[x].end() && *it <= b)return true;
if(l == r)return false;
let mid = (l + r) >> 1;
if(p <= mid)return query(p,a,b,l,mid,ls);
return query(p,a,b,mid + 1,r,rs);
}
#undef ls
#undef rs
};
struct Point{
int x,y;
}p[maxn];
int n;
std::vector<std::pair<int,int>> ans;
[[noreturn]] void nosol(){
std::puts("NE");
std::exit(0);
}
Seg seg_row,seg_col;
void match(ci a,ci b){
if(p[a].x == p[b].x){
let l = std::min(p[a].y,p[b].y);
let r = std::max(p[a].y,p[b].y);
if(seg_row.query(p[a].x,l,r))nosol();
seg_col.ins(l,r,p[a].x);
}
if(p[a].y == p[b].y){
let l = std::min(p[a].x,p[b].x);
let r = std::max(p[a].x,p[b].x);
if(seg_col.query(p[a].y,l,r))nosol();
seg_row.ins(l,r,p[a].y);
}
ans.emplace_back(a,b);
}
Seg copy_row,copy_col;
bool chk(ci a,ci b){
if(p[a].x == p[b].x){
let l = std::min(p[a].y,p[b].y);
let r = std::max(p[a].y,p[b].y);
if(copy_row.query(p[a].x,l,r))return false;
copy_col.ins(l,r,p[a].x);
}
if(p[a].y == p[b].y){
let l = std::min(p[a].x,p[b].x);
let r = std::max(p[a].x,p[b].x);
if(copy_col.query(p[a].y,l,r))return false;
copy_row.ins(l,r,p[a].y);
}
return true;
}
std::vector<int> row[maxn],col[maxn];
int main(){
// #ifndef ONLINE_JUDGE
// std::freopen("fufu.in","r",stdin);
// #endif
std::scanf("%d",&n);
rep(i,1,n)std::scanf("%d %d",&p[i].x,&p[i].y);
std::vector<int> now;
rep(i,1,n)now.push_back(i);
while(!now.empty()){
for(let i : now)
row[p[i].y].push_back(i),
col[p[i].x].push_back(i);
std::vector<int> nxt;
for(let i : now){
if(row[p[i].y].size() == 1 && col[p[i].x].size() == 1)nosol();
if(row[p[i].y].size() == 1){
let s = col[p[i].x].front(),t = col[p[i].x].back();
match(s,t);
for(let i : now)
if(i != s && i != t)nxt.push_back(i);
goto con;
}
if(col[p[i].x].size() == 1){
let s = row[p[i].y].front(),t = row[p[i].y].back();
match(s,t);
for(let i : now)
if(i != s && i != t)nxt.push_back(i);
goto con;
}
}
{
copy_row = seg_row;
copy_col = seg_col;
bool flg = true;
rep(i,1,maxn - 1){
// debug("i = %d %d\n",i,(int)row[i].size());
// assert(row[i].size() == 0 || row[i].size() == 2);
if(row[i].empty())continue;
if(!chk(row[i].front(),row[i].back())){
flg = false;
break;
}
}
if(flg){
rep(i,1,maxn - 1){
if(row[i].empty())continue;
match(row[i].front(),row[i].back());
}
goto bre;
}
}
{
copy_row = seg_row;
copy_col = seg_col;
bool flg = true;
rep(i,1,maxn - 1){
// assert(col[i].size() == 0 || col[i].size() == 2);
if(col[i].empty())continue;
if(!chk(col[i].front(),col[i].back())){
flg = false;
break;
}
}
if(flg){
rep(i,1,maxn - 1){
if(col[i].empty())continue;
match(col[i].front(),col[i].back());
}
goto bre;
}
}
nosol();
bre: break;
con:
for(let i : now)
row[p[i].y].clear(),
col[p[i].x].clear();
now = nxt;
continue;
}
std::puts("DA");
for(let &pir : ans)std::printf("%d %d\n",pir.first,pir.second);
return 0;
}
Compilation message
matching.cpp: In function 'int main()':
matching.cpp:88:15: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
88 | std::scanf("%d",&n);
| ~~~~~~~~~~^~~~~~~~~
matching.cpp:89:25: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | rep(i,1,n)std::scanf("%d %d",&p[i].x,&p[i].y);
| ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
80204 KB |
Output is correct |
2 |
Correct |
43 ms |
80136 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
80204 KB |
Output is correct |
2 |
Correct |
43 ms |
80136 KB |
Output is correct |
3 |
Correct |
45 ms |
80204 KB |
Output is correct |
4 |
Correct |
44 ms |
80152 KB |
Output is correct |
5 |
Correct |
43 ms |
80200 KB |
Output is correct |
6 |
Correct |
50 ms |
80192 KB |
Output is correct |
7 |
Correct |
35 ms |
80196 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
80204 KB |
Output is correct |
2 |
Correct |
43 ms |
80136 KB |
Output is correct |
3 |
Correct |
45 ms |
80204 KB |
Output is correct |
4 |
Correct |
44 ms |
80152 KB |
Output is correct |
5 |
Correct |
43 ms |
80200 KB |
Output is correct |
6 |
Correct |
50 ms |
80192 KB |
Output is correct |
7 |
Correct |
35 ms |
80196 KB |
Output is correct |
8 |
Correct |
46 ms |
80184 KB |
Output is correct |
9 |
Correct |
40 ms |
80212 KB |
Output is correct |
10 |
Correct |
42 ms |
80204 KB |
Output is correct |
11 |
Correct |
38 ms |
80196 KB |
Output is correct |
12 |
Correct |
54 ms |
80192 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
80204 KB |
Output is correct |
2 |
Correct |
43 ms |
80136 KB |
Output is correct |
3 |
Correct |
45 ms |
80204 KB |
Output is correct |
4 |
Correct |
44 ms |
80152 KB |
Output is correct |
5 |
Correct |
43 ms |
80200 KB |
Output is correct |
6 |
Correct |
50 ms |
80192 KB |
Output is correct |
7 |
Correct |
35 ms |
80196 KB |
Output is correct |
8 |
Correct |
46 ms |
80184 KB |
Output is correct |
9 |
Correct |
40 ms |
80212 KB |
Output is correct |
10 |
Correct |
42 ms |
80204 KB |
Output is correct |
11 |
Correct |
38 ms |
80196 KB |
Output is correct |
12 |
Correct |
54 ms |
80192 KB |
Output is correct |
13 |
Incorrect |
53 ms |
80364 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
80204 KB |
Output is correct |
2 |
Correct |
43 ms |
80136 KB |
Output is correct |
3 |
Correct |
45 ms |
80204 KB |
Output is correct |
4 |
Correct |
44 ms |
80152 KB |
Output is correct |
5 |
Correct |
43 ms |
80200 KB |
Output is correct |
6 |
Correct |
50 ms |
80192 KB |
Output is correct |
7 |
Correct |
35 ms |
80196 KB |
Output is correct |
8 |
Correct |
46 ms |
80184 KB |
Output is correct |
9 |
Correct |
40 ms |
80212 KB |
Output is correct |
10 |
Correct |
42 ms |
80204 KB |
Output is correct |
11 |
Correct |
38 ms |
80196 KB |
Output is correct |
12 |
Correct |
54 ms |
80192 KB |
Output is correct |
13 |
Incorrect |
53 ms |
80364 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |