This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define vi vector<int>
#define vll vector<ll>
#define vii vector<pair<int, int>>
#define pii pair<int, int>
#define pll pair<ll, ll>
#define loop(_) for (int __ = 0; __ < (_); ++__)
#define pb push_back
#define f first
#define s second
#define sz(_) ((int)_.size())
#define all(_) _.begin(), _.end()
#define lb lower_bound
#define ub upper_bound
using ll = long long;
using ld = long double;
const int N = 2e5 + 7;
const ll mod = 1e9 + 7;
int n, m;
int vis[N][2];
int xs[N], ys[N];
multiset<int> mul;
set<pii> rst, al;
set<pair<ll, pii>> gt;
ll calc(int x, int y, int l = -1, int r = -1)
{
ll ret = 1e18;
if (mul.empty())
return ret;
auto eval = [&](int u) -> void {
for (int i = 0; i < 2; ++i)
{
if (u >= 0 && u < n && vis[u][i])
{
ret = min(ret, 1ll * (u - x) * (u - x) + 1ll * (i - y) * (i - y));
}
}
};
if (l == -1)
{
auto it = mul.lb(x);
if (it != mul.end())
eval(*it);
if (it != mul.begin())
eval(*(--it));
}
else
{
eval(l - 1);
eval(r + 1);
}
return ret;
}
map<pii, ll> db;
pair<ll, pii> solve(int x, int y)
{
ll Min = 0;
int wx = -1, wy = -1;
int mi = (x + y) >> 1;
for (auto mid : {mi, mi + 1})
for (int i = 0; i < 2; ++i)
{
if (mid < x || mid > y)
continue;
ll w = calc(mid, i, x, y);
if (w > Min || (w == Min && make_pair(mid, i) < make_pair(wx, wy)))
{
Min = w;
wx = mid, wy = i;
}
}
return {Min, {wx, wy}};
}
void Insert(int x, int y)
{
rst.insert({x, y});
gt.insert({-solve(x, y).f, {x, y}});
db[{x, y}] = -solve(x, y).f;
}
void Erase(int x, int y)
{
rst.erase({x, y});
gt.erase({db[{x, y}], {x, y}});
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
#ifndef ONLINE_JUDGE
#endif
cin >> n >> m;
for (int i = 0; i < n; ++i)
{
al.insert({i, 0}), al.insert({i, 1});
}
Insert(0, n - 1);
for (int i = 0; i < m; ++i)
{
char c;
cin >> c;
if (c == 'E')
{
ll Min = 0;
int wx = 0, wy = 0;
if (sz(gt))
{
vii vc = {{0, 0}, {0, 1}, {n - 1, 0}, {n - 1, 1}};
for (auto u : vc)
{
ll sc = calc(u.f, u.s);
if (sc > Min)
Min = sc, wx = u.f, wy = u.s;
}
auto it = gt.begin();
int lhs = (*it).s.f, rhs = (*it).s.s;
pair<ll, pii> sol = solve(lhs, rhs);
if (sol.f > Min || (sol.f == Min && sol.s < make_pair(wx, wy)))
{
Min = sol.f;
wx = sol.s.f, wy = sol.s.s;
}
if (Min <= 1)
{
auto bg = al.begin();
wx = (*bg).f, wy = (*bg).s;
}
}
else if (!sz(mul))
;
else
{
auto bg = al.begin();
wx = (*bg).f, wy = (*bg).s;
}
xs[i] = wx, ys[i] = wy;
vis[wx][wy] = 1;
auto it = rst.lb({wx + 1, -1});
mul.insert(wx);
if (it != rst.begin())
{
--it;
if (wx >= (*it).f && wx <= (*it).s)
{
pii u = *it;
int x = u.f, y = u.s;
Erase(x, y);
if (x <= wx - 1)
Insert(x, wx - 1);
if (wx + 1 <= y)
Insert(wx + 1, y);
}
}
al.erase({wx, wy});
cout << ++wx << " " << ++wy << "\n";
}
else
{
int p;
cin >> p;
--p;
mul.erase(mul.find(xs[p]));
vis[xs[p]][ys[p]] = 0;
al.insert({xs[p], ys[p]});
if (vis[xs[p]][0] == vis[xs[p]][1])
{
int nx = xs[p], ny = xs[p];
auto it = rst.lb({xs[p], -1});
pii del = {-1, -1};
if (it != rst.end() && (*it).f == ny + 1)
{
ny = (*it).s;
del = {(*it).f, (*it).s};
}
if (it != rst.begin())
{
--it;
if ((*it).s == nx - 1)
{
nx = (*it).f;
Erase((*it).f, (*it).s);
}
}
if (~del.f)
Erase(del.f, del.s);
Insert(nx, ny);
}
}
}
return 0;
}
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