이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#ifdef KEK
#define FILE_IN "input.txt"
#define FILE_OUT "output.txt"
#endif
#include <iostream>
#include <cstdlib>
#include <climits>
#include <set>
#include <map>
#include <cstdio>
#include <string>
#include <cstring>
#include <cassert>
#include <vector>
#include <algorithm>
#include <queue>
using namespace std;
const int mod = 1000000007;
void openFiles() {
#ifdef KEK
assert(freopen(FILE_IN, "r", stdin));
assert(freopen(FILE_OUT, "w", stdout));
#endif
}
const int MAXN = 1048576;
int max_end[2 * 2 * MAXN];
int min_start[2 * 2 * MAXN];
int color[MAXN];
int segment_start[MAXN], segment_end[MAXN];
bool used[MAXN];
bool active[MAXN];
int actions[2 * MAXN];
queue<int> q;
int n;
int get_max_end(int i, int j) {
if (segment_end[i] > segment_end[j])
return i;
return j;
}
int get_min_start(int i, int j) {
if (segment_start[i] < segment_start[j])
return i;
return j;
}
void update_ends(int x, int l, int r, int i, int val) {
if (l > i || r <= i)
return;
if (r - l == 1) {
max_end[x] = val;
return;
}
int c = (l + r) / 2;
update_ends(2 * x + 1, l, c, i, val);
update_ends(2 * x + 2, c, r, i, val);
max_end[x] = get_max_end(max_end[2 * x + 1], max_end[2 * x + 2]);
}
void update_starts(int x, int l, int r, int i, int val) {
if (l > i || r <= i)
return;
if (r - l == 1) {
min_start[x] = val;
return;
}
int c = (l + r) / 2;
update_starts(2 * x + 1, l, c, i, val);
update_starts(2 * x + 2, c, r, i, val);
min_start[x] = get_min_start(min_start[2 * x + 1], min_start[2 * x + 2]);
}
int query_ends(int x, int l, int r, int ql, int qr) {
if (l >= qr || r <= ql)
return n;
if (ql <= l && r <= qr)
return max_end[x];
int c = (l + r) / 2;
return get_max_end(
query_ends(2 * x + 1, l, c, ql, qr),
query_ends(2 * x + 2, c, r, ql, qr)
);
}
int query_starts(int x, int l, int r, int ql, int qr) {
if (l >= qr || r <= ql)
return n;
if (ql <= l && r <= qr)
return min_start[x];
int c = (l + r) / 2;
return get_min_start(
query_starts(2 * x + 1, l, c, ql, qr),
query_starts(2 * x + 2, c, r, ql, qr)
);
}
vector<int> v[2];
int main() {
openFiles();
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
fill(max_end, max_end + 4 * MAXN, n);
fill(min_start, min_start + 4 * MAXN, n);
segment_start[n] = 2 * MAXN;
segment_end[n] = -1;
for (int i = 0; i < n; i++) {
cin >> segment_start[i] >> segment_end[i];
segment_start[i]--;
segment_end[i]--;
update_starts(0, 0, 2 * MAXN, segment_end[i], i);
update_ends(0, 0, 2 * MAXN, segment_start[i], i);
actions[segment_start[i]] = i;
actions[segment_end[i]] = i;
}
int ans = 1;
int itr = 0;
while (true) {
while (itr != n && used[itr])
itr++;
if (itr == n)
break;
ans *= 2;
if (ans >= mod)
ans -= mod;
q.push(itr);
color[itr] = 1;
while (!q.empty()) {
int cur = q.front();
q.pop();
used[cur] = true;
update_ends(0, 0, 2 * MAXN, segment_start[cur], n);
update_starts(0, 0, 2 * MAXN, segment_end[cur], n);
while (true) {
int f = query_ends(0, 0, 2 * MAXN, segment_start[cur], segment_end[cur] + 1);
if (f == n || segment_end[f] < segment_end[cur])
break;
update_ends(0, 0, 2 * MAXN, segment_start[f], n);
if (color[cur] == color[f]) {
cout << "0";
return 0;
}
color[f] = -color[cur];
q.push(f);
}
while (true) {
int f = query_starts(0, 0, 2 * MAXN, segment_start[cur], segment_end[cur] + 1);
if (f == n || segment_start[f] > segment_start[cur])
break;
update_starts(0, 0, 2 * MAXN, segment_end[f], n);
if (color[cur] == color[f]) {
cout << "0";
return 0;
}
color[f] = -color[cur];
q.push(f);
}
}
}
for (int i = 0; i < 2 * n; i++) {
int id = actions[i];
int type = !active[id];
if (type == true) {
type = active[id] = true;
}
if (type) {
v[(color[id] + 1) / 2].push_back(id);
}
else {
if (v[(color[id] + 1) / 2].back() != id) {
cout << "0";
return 0;
}
v[(color[id] + 1) / 2].pop_back();
}
}
cout << ans;
return 0;
}
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