#include <bits/stdc++.h>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("fast-math")
//#pragma GCC optimize("no-stack-protector")
#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100001
using namespace std;
int x[N], y[N], a[N][2], b[N][2], n, xr[N], yr[N];
set <int> tx[N * 4], ty[N * 4], alone;
set <pair <int, int> > ty_del[N * 4];
vector <int > pshx[N * 4], pshy[N * 4];
vector <pair <int, int> > psh_dely[N * 4];
bool mk[N], mkr[N][2];
vector <pair <int, int> > g;
void Pushx(int v, int tl, int tr)
{
while (sz(pshx[v]) > 0)
{
int val = pshx[v].back();
pshx[v].pop_back();
tx[v].insert(val);
if (tl != tr) {pshx[v + v].pb(val); pshx[v + v + 1].pb(val);}
}
}
void Pushy(int v, int tl, int tr)
{
while (sz(pshy[v]) > 0)
{
int val = pshy[v].back();
pshy[v].pop_back();
ty[v].insert(val);
if (tl != tr) {pshy[v + v].pb(val); pshy[v + v + 1].pb(val);}
}
}
void upd(int v, int tl, int tr, int l, int r, int val, bool f)
{
if (r < tl || tr < l) return;
if (l <= tl && tr <= r) {if (!f) pshx[v].pb(val); else pshy[v].pb(val); return;}
int md = (tl + tr) >> 1;
upd(v + v, tl, md, l, r, val, f);
upd(v + v + 1, md + 1, tr, l, r, val, f);
}
void Push_dely(int v, int tl, int tr)
{
while (sz(psh_dely[v]) > 0)
{
pair <int, int> pt = psh_dely[v].back();
psh_dely[v].pop_back();
ty_del[v].insert(pt);
if (tl != tr) {psh_dely[v + v].pb(pt); psh_dely[v + v + 1].pb(pt); }
}
}
void upd_del(int v, int tl, int tr, int l, int r, pair <int, int> val)
{
if (tl > tr || l > r || r < tl || tr < l) return;
if (l <= tl && tr <= r) {psh_dely[v].pb(val); return;}
int md = (tl + tr) >> 1;
upd_del(v + v, tl, md, l, r, val);
upd_del(v + v + 1, md + 1, tr, l, r, val);
}
bool good(int v, int tl, int tr, int pos, int l, int r, bool f)
{
if (f) Pushy(v, tl, tr); else Pushx(v, tl, tr);
if (tl == tr)
{
set <int> :: iterator it;
if (f)
{
it = ty[v].lower_bound(l);
return (it == ty[v].end() ? 1 : *it > r);
}
else
{
it = tx[v].lower_bound(l);
return (it == tx[v].end() ? 1 : *it > r);
}
}
else
{
int md = (tl + tr) >> 1;
if (pos <= md) return good(v + v, tl, md, pos, l, r, f);
return good(v + v + 1, md + 1, tr, pos, l, r, f);
}
}
bool gd(int fr, int sc)
{
if (x[fr] == x[sc])
{
if (y[fr] > y[sc]) swap(fr, sc);
return good(1, 1, N - 1, x[fr], y[fr], y[sc], 0);
}
else
{
if (x[fr] > x[sc]) swap(fr, sc);
return good(1, 1, N - 1, y[fr], x[fr], x[sc], 1);
}
}
void add_remove(int fr, int sc, int nm)
{
if (!mk[fr]) {if ((a[fr][1] == -1 || !gd(fr, a[fr][1])) && (a[fr][0] == -1 || !gd(fr, a[fr][0])) ){cout << "NE" << endl; exit(0);} alone.insert(fr);}
if (!mk[sc]) {if ((a[sc][1] == -1 || !gd(sc, a[sc][1])) && (a[sc][0] == -1 || !gd(sc, a[sc][0])) ){cout << "NE" << endl; exit(0);} alone.insert(sc);}
}
void good_del(int v, int tl, int tr, int pos, int l, int r)
{
Push_dely(v, tl, tr);
if (tl == tr)
{
set <pair <int, int> > :: iterator it;
it = ty_del[v].lower_bound({l, -1e9});
while (it != ty_del[v].end() && (*it).F <= r) {add_remove(b[(*it).S][0], (*it).S, (*it).S); it++;}
}
else
{
int md = (tl + tr) >> 1;
if (pos <= md) good_del(v + v, tl, md, pos, l, r);
else good_del(v + v + 1, md + 1, tr, pos, l, r);
}
}
void seacrh(int fr, int sc)
{
if (x[fr] > x[sc]) swap(fr, sc);
good_del(1, 1, N, y[fr], x[fr], x[sc]);
}
void add(int fr, int sc)
{
if (x[fr] == x[sc])
{
g.pb({fr, sc});
if (y[fr] > y[sc]) swap(fr, sc);
upd(1, 1, N - 1, y[fr], y[sc], x[fr], 1);
}
else
{
g.pb({fr, sc});
if (x[fr] > x[sc]) swap(fr, sc);
upd(1, 1, N - 1, x[fr], x[sc], y[fr], 0);
seacrh(fr, sc);
}
}
void adder(int v);
void clr(int x)
{
mk[x] = 1;
if (a[x][1] != -1) {adder(a[x][1]); a[x][1] = a[a[x][1]][1] = -1;}
if (a[x][0] != -1) {adder(a[x][0]); a[x][0] = a[a[x][0]][0] = -1;}
}
void adder(int v)
{
if (mk[v]) return;
if (a[v][1] != -1 && gd(v, a[v][1])) {add(v, a[v][1]); clr(a[v][1]); clr(v); return;}
if (a[v][0] != -1 && gd(v, a[v][0])) {add(v, a[v][0]); clr(a[v][0]); clr(v); return;}
cout << "NE" << endl;
exit(0);
}
void fnd()
{
while (sz(alone) > 0)
{
int v = *alone.begin();
alone.erase(alone.begin());
adder(v);
}
for (int i = 0; i < n; i++)
{
if (mk[i]) continue;
g.pb({i, a[i][0]});
mk[a[i][0]] = 1;
}
}
void add_del(int fr, int sc)
{
if (mkr[fr][0]) return;
mkr[fr][0] = 1;
mkr[sc][0] = 1;
if (y[fr] > y[sc]) swap(fr, sc);
upd_del(1, 1, N, y[fr], y[sc], {x[fr], fr });
}
int main()
{
ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1; i < N; i++) xr[i] = yr[i] = -1;
for (int i = 0; i < n; i++) {cin >> x[i] >> y[i]; a[i][0] = a[i][1] = -1;}
for (int i = 0; i < n; i++)
{
int X = x[i], Y = y[i];
if (xr[X] == -1) xr[X] = i; else {a[i][0] = xr[X]; a[xr[X]][0] = i;}
if (yr[Y] == -1) yr[Y] = i; else {a[i][1] = yr[Y]; a[yr[Y]][1] = i;}
}
for (int i = 0; i < n; i++)
{
b[i][0] = a[i][0];
b[i][1] = a[i][1];
if (a[i][0] == a[i][1] && a[i][1] == -1) {cout << "NE" << endl; exit(0);}
if (!(a[i][0] == -1 || a[i][1] == -1)) add_del(i, a[i][0]);
}
for (int i = 0; i < n; i++) if (a[i][0] == -1 || a[i][1] == -1) adder(i);
fnd();
if (sz(g) != n / 2) {cout << "NE" << endl; exit(0);}
cout << "DA" << endl;
for (auto it : g) cout << it.F + 1 << " " << it.S + 1 << endl;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
53 ms |
85632 KB |
Output is correct |
| 2 |
Correct |
56 ms |
85752 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
53 ms |
85632 KB |
Output is correct |
| 2 |
Correct |
56 ms |
85752 KB |
Output is correct |
| 3 |
Runtime error |
1998 ms |
524292 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
53 ms |
85632 KB |
Output is correct |
| 2 |
Correct |
56 ms |
85752 KB |
Output is correct |
| 3 |
Runtime error |
1998 ms |
524292 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
53 ms |
85632 KB |
Output is correct |
| 2 |
Correct |
56 ms |
85752 KB |
Output is correct |
| 3 |
Runtime error |
1998 ms |
524292 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
53 ms |
85632 KB |
Output is correct |
| 2 |
Correct |
56 ms |
85752 KB |
Output is correct |
| 3 |
Runtime error |
1998 ms |
524292 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
| 4 |
Halted |
0 ms |
0 KB |
- |
