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 mod = 1e9 + 7;
const array<int, 2> def = {-69, 0};
struct SegTree {
int n;
vector<array<int, 2>> tree;
SegTree(int n) : n(n), tree(2*n, def) {}
void upd(int p, int x) {
array<int, 2> y = {x, p};
for(tree[p+=n]=y;p/=2;)
tree[p] = max(tree[2*p], tree[2*p+1]);
}
array<int, 2> query(int l, int r) {
array<int, 2> res = def;
for(l+=n,r+=n; l < r; l>>=1,r>>=1) {
if(l&1) res = max(res, tree[l++]);
if(r&1) res = max(res, tree[--r]);
}
return res;
}
};
int main() {
cin.tie(0)->sync_with_stdio(0);
int n, comp = 0;
cin >> n;
vector<int> vis(n), Lcol(2*n);
vector<array<int, 2>> ranges(n);
SegTree st(2*n);
int aaaaa = 0;
for(auto &[l, r] : ranges) {
cin >> l >> r;l--,r--;
Lcol[l] = aaaaa++;
st.upd(l, r);
}
queue<int> q;
auto add = [&](int v, int col) {
if(vis[v]) {cerr << "hmm\n";return;}
vis[v] = col;
q.push(v);
st.upd(ranges[v][0], -1);
};
for(int i = 0; i < n; i++) if(!vis[i]) {
add(i, 1);
comp++;
while(!q.empty()) {
int id = q.front();
//cout << id << endl;
q.pop();
int L = ranges[id][0], R = ranges[id][1];
for(array<int, 2> x; (x=st.query(L, R))[0]>R;) {
add(Lcol[x[1]], vis[id]^3);
}
}
}
vector<int> events(2*n, -1);
vector<SegTree> mark(2, SegTree(2*n));
for(int i = 0; i < n; i++) {
events[ranges[i][1]] = i;
}
int ok = 1;
for(int x = 2*n; x--;) {
int i = events[x];
if(i == -1) continue;
//cout << vis[i] << endl;
ok &= mark[vis[i]-1].query(ranges[i][0], ranges[i][1])[0] < 1;
mark[vis[i]-1].upd(ranges[i][0], 1);
}
int res = ok;
while(comp--)
if((res<<=1)>=mod)
res-=mod;
cout << res << '\n';
}
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