This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// by szh
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
#define int LL
#define F first
#define S second
#define pii pair<LL, LL>
#define pb push_back
#define debug(x) cerr << #x << "=" << x << endl
#define pq priority_queue
#define inf 0x3f
#define rep(i,a,b) for (int i=a; i < (b); i++)
#define MP make_pair
#define SZ(x) (static_cast<int>(x.size()))
#define MOD 1000000007
#define ALL(x) x.begin(), x.end()
void inc(int &a, int b) {a = (a+b)%MOD;}
void dec(int &a, int b) {a = (a-b+MOD)%MOD;}
int prod(int a,int b) {return LL(a)*LL(b)%MOD;}
int lowbit(int x) {return x&(-x);}
const int maxn = 2020;
int n, m;
set <int> pos;
set <pair<int, pii> > emptyp;
bool mark[maxn * 2][2];
set <pii> cell;
vector <pii> res;
pair<int, pii> fakegetmn(int le, int re) {
if (le == -1 and re == maxn) {
return {1e18, {0, 0}};
}
if (le == -1) {
int tmp = re;
int op = 0;
if (mark[re][0] and !mark[re][1]) op = 1;
tmp *= tmp;
tmp += (!mark[re][0] or !mark[re][1]);
return {tmp, {0, op}};
}
if (re == maxn) {
int tmp = n - 1 - le;
int op = 0;
if (mark[le][0] and !mark[le][1]) op = 1;
return {tmp * tmp + (!mark[le][0] or !mark[le][1]), {n - 1, op}};
}
int tmp = (re - le) /2;
if (tmp * 2 == re - le) {
if (!mark[le][0] and !mark[re][0])
return {tmp * tmp + 1, {le + tmp, 0}};
if (!mark[le][1] and !mark[re][1])
return {tmp * tmp + 1, {le + tmp, 1}};
return {tmp * tmp, {le + tmp, 0}};
}
int tmpp = tmp;
tmp *= tmp;
tmp++;
pii ret;
if (!mark[le][0]) ret.F = tmpp + le, ret.S = 0;
else if (!mark[le][1]) ret.F = tmpp + le, ret.S = 1;
else if (!mark[re][0]) ret.F = re - tmpp, ret.S = 0;
else if (!mark[re][1]) ret.F = re - tmpp, ret.S = 1;
else ret.F = tmpp + le, ret.S = 0, tmp--;
return {tmp, ret};
}
pair<int, pii> getmn(int l, int r) {
auto x = fakegetmn(l, r);
x.F = -x.F;
if (x.F == -2 and x.S.F == 1 and x.S.S == 0) debug(l), debug(r);
//debug(x.F);
return x;
}
void bye(int x) {
//cout << "bye\n";
pos.erase(x);
auto it = pos.lower_bound(x);
int r = maxn;
if (it != pos.end()) r = (*it);
int l = -1;
if (it != pos.begin()) l = (*(--it));
//debug(l), debug(r);
if (l != -1 or x != 0) emptyp.erase(getmn(l, x));
if (x != n - 1 or r != maxn) emptyp.erase(getmn(x, r));
if (l == -1 and r == 0) return;
if (l == n - 1 and r == maxn) return;
emptyp.insert(getmn(l, r));
}
void hi(int x) {
//cout << "hi\n";
auto it = pos.lower_bound(x);
int r = maxn;
if (it != pos.end()) r = (*it);
int l = -1;
if (it != pos.begin()) l = (*(--it));
if (l == -1 and r == 0);
else if (l == n - 1 and r == maxn);
else {
emptyp.erase(getmn(l, r));
}
if (l != -1 or x != 0) {
//debug(getmn(l, x).S.F);
emptyp.insert(getmn(l, x));
}
if (x != n - 1 or r != maxn) {
emptyp.insert(getmn(x, r));
//debug(getmn(x, r).S.F);
}
pos.insert(x);
/*for (auto it : emptyp) {
cout << it.F << " " << it.S.F << " " << it.S.S << endl;
}*/
}
void addppl() {
if (pos.empty()) {
emptyp.insert({-1e18, {0LL, 0LL}});
}
assert(!emptyp.empty());
pii ans = (*emptyp.begin()).S;
//debug((*emptyp.begin()).F);
if ((*emptyp.begin()).F == -1) {
ans = (*cell.begin());
//debug(233);
}
else emptyp.erase(emptyp.begin());
cell.erase(ans);
if (mark[ans.F][ans.S ^1]) bye(ans.F);
mark[ans.F][ans.S] = 1;
hi(ans.F);
cout << ans.F + 1 << ' ' << ans.S + 1 << '\n';
res.pb(ans);
return;
}
signed main() {
// freopen("input.txt","r",stdin);
std::ios::sync_with_stdio(false); cin.tie(0);
cin >> n >> m;
rep(i, 0, n) cell.insert({i, 0}), cell.insert({i, 1});
while (m--) {
//cout << "-------\n";
char c;
cin >> c;
if (c == 'E') addppl();
else {
int id; cin >> id;
id--;
pii ans = res[id];
assert(ans.F != -1);
cell.insert(ans);
//erase ans.F first
bye(ans.F);
mark[ans.F][ans.S] = 0;
//debug(ans.F), debug(ans.S);
if (mark[ans.F][ans.S ^ 1]) hi(ans.F);
res.pb({-1, -1});
}
}
return 0;
}
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