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;
const int oo = 1e9;
struct treemin {
typedef pair<int, int> T;
static constexpr T unit = {oo, oo};
T f(T a, T b) { return min(a, b); } // (any associative fn)
vector<T> s;
int n;
treemin(int nn = 0, T def = unit) : s(2 * nn, def), n(nn) {}
void update(int pos, T val)
{
for(s[pos += n] = val; pos /= 2;)
s[pos] = f(s[pos * 2], s[pos * 2 + 1]);
}
T query(int b, int e)
{
T ra = unit, rb = unit;
for(b += n, e += n + 1; b < e; b /= 2, e /= 2) {
if(b % 2) ra = f(ra, s[b++]);
if(e % 2) rb = f(s[--e], rb);
}
return f(ra, rb);
}
};
struct treemax {
typedef pair<int, int> T;
static constexpr T unit = {-oo, -oo};
T f(T a, T b) { return max(a, b); } // (any associative fn)
vector<T> s;
int n;
treemax(int nn = 0, T def = unit) : s(2 * nn, def), n(nn) {}
void update(int pos, T val)
{
for(s[pos += n] = val; pos /= 2;)
s[pos] = f(s[pos * 2], s[pos * 2 + 1]);
}
T query(int b, int e)
{
T ra = unit, rb = unit;
for(b += n, e += n + 1; b < e; b /= 2, e /= 2) {
if(b % 2) ra = f(ra, s[b++]);
if(e % 2) rb = f(s[--e], rb);
}
return f(ra, rb);
}
};
int32_t main()
{
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> a(n + 1), b(n + 1);
treemin trmin(2 * n + 100);
treemax trmax(2 * n + 100);
vector<int> col(n + 1);
function<void(int, int)> dfs = [&](int i, int c) {
col[i] = c;
trmin.update(b[i], {oo, oo});
trmax.update(a[i], {-oo, -oo});
while(1) {
pair<int, int> maybe = trmin.query(a[i] + 1, b[i] - 1);
if(a[i] < maybe.first) {
break;
}
dfs(maybe.second, 3 - c);
}
while(1) {
pair<int, int> maybe = trmax.query(a[i] + 1, b[i] - 1);
if(maybe.first < b[i]) {
break;
}
dfs(maybe.second, 3 - c);
}
};
auto check = [&]() {
vector<vector<int>> st(3);
vector<pair<int, int>> all;
for(int i = 1; i <= n; i++) {
all.push_back({a[i], i});
all.push_back({b[i], -i});
}
sort(all.begin(), all.end());
for(int i = 0; i < (int)all.size(); i++) {
int mycol = col[abs(all[i].second)];
if(all[i].second >= 1) {
st[mycol].push_back(all[i].second);
}
else {
if(st[mycol].back() != -all[i].second) {
return false;
}
st[mycol].pop_back();
}
}
return true;
};
for(int i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
trmin.update(b[i], {a[i], i});
trmax.update(a[i], {b[i], i});
}
const int mod = 1e9 + 7;
int ans = 1;
for(int i = 1; i <= n; i++) {
if(col[i] == 0) {
ans = (ans * 2) % mod;
dfs(i, 1);
}
}
cout << (check() ? ans : 0) << '\n';
}
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