이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
using namespace std;
#define in array<int, 2>
#define pb push_back
#define pob pop_back
#define fast() ios_base::sync_with_stdio(false); cin.tie(NULL)
const int SMX = 1e6+5;
const int MX = 2e6+3;
const int LMX = 4e7+1e6;
const int mod = 1e9+7;
int vv[MX]; vector<vector<int>> g;
int leaf[MX];
vector<int> lleft;
vector<int> rright;
vector<bool> tree;
int nxt = 0;
int root[SMX];
int New()
{
lleft.pb(-1); rright.pb(-1); g.resize(g.size()+1); tree.pb(0);
return nxt++;
}
int build(int l, int r)
{
int id = New(); int m = (l+r)/2;
if(l==r)
return id;
lleft[id] = build(l, m); rright[id] = build(m+1, r); tree[id] = 0;
return id;
}
int upd(int pos, int id, int l, int r)
{
int id_n = New(); tree[id_n] = 1;
if(l == r)
return leaf[pos] = id_n;
lleft[id_n] = lleft[id]; rright[id_n] = rright[id];
int m = (l+r)/2;
if(pos <= m)
lleft[id_n] = upd(pos, lleft[id], l, m);
else
rright[id_n] = upd(pos, rright[id], m+1, r);
return id_n;
}
void add(int pp, int ql, int qr, int id, int l, int r)
{
if(qr < l || r < ql)
return;
if((ql <= l) && (r <= qr))
{
g[pp].pb(id);
return;
}
int m = (l+r)/2;
add(pp, ql, qr, lleft[id], l, m);
add(pp, ql, qr, rright[id], m+1, r);
return;
}
vector<int> pa, col; bool works = true;
int leader(int u)
{
if(pa[u] < 0)
return u;
else
{
int p = leader(pa[u]);
col[u]^=col[pa[u]];
return pa[u] = p;
}
}
void merge(int u, int v, int xr)
{
int x = leader(u);
int y = leader(v);
if(x == y)
{
if(col[u]^col[v]^xr)
works = false;
return;
}
if(pa[x] < pa[y])
{
swap(x, y);
swap(u, v);
}
pa[y]+=pa[x];
pa[x] = y;
col[x] = col[u]^col[v]^xr;
return;
}
vector<bool> rl(MX);
bitset<LMX> vis, ppl;
void dfs(int u)
{
vis[u] = 1;
if(lleft[u] != -1)
{
if((!vis[lleft[u]]) && tree[lleft[u]])
dfs(lleft[u]);
if((!vis[rright[u]]) && tree[rright[u]])
dfs(rright[u]);
if(tree[lleft[u]]){
//cout << "cat_L_Calling " << lleft[u] << " from " << u << endl;
merge(u, lleft[u], 0);}
if(tree[rright[u]]){
//cout << "cat_R_Calling " << rright[u] << " from " << u << endl;
merge(u, rright[u], 0);}
return;
}
for(int v: g[u])
{
if(!tree[v])
continue;
merge(u, v, 1);
if(vis[v])
{
//cout << "Tried to call " << v << " from " << u << endl;
continue;
}
//cout << "Calling " << v << " from " << u << "\n";
dfs(v);
}
return;
}
signed main()
{
fast();//During debugging, this should ideally be removed.
int n;
cin >> n;
for(int i = 1; i <= n; i++)
{
int x, y; cin >> x >> y;
vv[x] = y;
}
int sn = 0; root[sn] = build(1, 2*n); //cout << "nxt = " << nxt << endl;
int b[n+1];
for(int i = 1; i <= 2*n; i++)
{
if(vv[i])
{
int p = upd(vv[i], root[sn++], 1, 2*n); root[sn] = p;
add(leaf[vv[i]], i, vv[i]-1, p, 1, 2*n); rl[vv[i]] = 1;
b[sn] = leaf[vv[i]];
//cout << "b[sn] = " << b[sn] << endl;
}
}
int N = g.size(); pa.assign(N, -1); col.assign(N, 0);
for(int i = 1; i <= n; i++)
dfs(b[i]);
if(!works)
{
cout << "0\n";
return 0;
}
int ans = 1;
for(int i = 1; i <= n; i++)
{
if(ppl[leader(b[i])])
continue;
ppl[leader(b[i])] = 1; ans*=2; ans%=mod;
}
cout << ans << "\n";
return 0;
}
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