#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define ar array
#define vt vector
#define pq priority_queue
#define pu push
#define pub push_back
#define em emplace
#define emb emplace_back
#define mt make_tuple
#define all(x) x.begin(), x.end()
#define allr(x) x.rbegin(), x.rend()
#define allp(x, l, r) x.begin() + l, x.begin() + r
#define len(x) (int)x.size()
#define uniq(x) unique(all(x)), x.end()
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<class Fun> class y_combinator_result {
Fun fun_;
public:
template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); }
};
template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); }
template <class T, size_t N>
void re(array <T, N>& x);
template <class T>
void re(vt <T>& x);
template <class T>
void re(T& x) {
cin >> x;
}
template <class T, class... M>
void re(T& x, M&... args) {
re(x), re(args...);
}
template <class T>
void re(vt <T>& x) {
for(auto& it : x) re(it);
}
template <class T, size_t N>
void re(array <T, N>& x) {
for(auto& it : x) re(it);
}
template <class T, size_t N>
void wr(const array <T, N>& x);
template <class T>
void wr(const vt <T>& x);
template <class T>
void wr(const T& x) {
cout << x;
}
template <class T, class ...M>
void wr(const T& x, const M&... args) {
wr(x), wr(args...);
}
template <class T>
void wr(const vt <T>& x) {
for(auto it : x) wr(it, ' ');
}
template <class T, size_t N>
void wr(const array <T, N>& x) {
for(auto it : x) wr(it, ' ');
}
template<class T, class... M>
auto mvt(size_t n, M&&... args) {
if constexpr(sizeof...(args) == 1)
return vector<T>(n, args...);
else
return vector(n, mvt<T>(args...));
}
void set_fixed(int p = 0) {
cout << fixed << setprecision(p);
}
void set_scientific() {
cout << scientific;
}
void Open(const string& name) {
// #ifndef ONLINE_JUDGE
(void)!freopen((name + ".in").c_str(), "r", stdin);
(void)!freopen((name + ".out").c_str(), "w", stdout);
// #endif
}
const int N = 1e6 + 5;
vt <int> t[N << 4];
int idx[N << 4], par[N], d[N], a[N], b[N], mn[N], m[N << 1], vis[N];
inline int find(int u) {
if (par[u] == u)
return u;
int p = find(par[u]);
d[u] ^= d[par[u]];
return par[u] = p;
}
inline bool unite(int u, int v, int w) {
int ru = find(u), rv = find(v);
if (ru == rv) {
return (d[u] ^ d[v]) == w;
} else {
d[ru] = w ^ d[u] ^ d[v];
par[ru] = rv;
return true;
}
assert(false);
return false;
}
void build(int v, int tl, int tr) {
idx[v] = 1;
if (tl == tr) {
if (m[tl]) {
t[v].pub(m[tl]);
}
return;
}
int tm = (tl + tr) / 2;
build(v * 2, tl, tm);
build(v * 2 + 1, tm + 1, tr);
merge(all(t[v * 2]), all(t[v * 2 + 1]), back_inserter(t[v]),
[&](const int& i, const int& j) {
return a[i] < a[j];
});
}
bool query(int i, int v, int tl, int tr, int l, int r) {
if (l <= tl && tr <= r) {
if (len(t[v]) == 0 || a[t[v][0]] > a[i])
return true;
bool ret = 1;
ret &= unite(i, t[v][0], 1);
while (idx[v] < len(t[v]) && a[t[v][idx[v]]] < a[i]) {
ret &= unite(t[v][idx[v]], t[v][0], 0);
idx[v]++;
}
return ret;
} else {
int tm = (tl + tr) / 2;
if (r <= tm) return query(i, v * 2, tl, tm, l, r);
else if (l > tm) return query(i, v * 2 + 1, tm + 1, tr, l, r);
else return query(i, v * 2, tl, tm, l, r) & query(i, v * 2 + 1, tm + 1, tr, l, r);
}
assert(false);
return false;
}
void solve() {
int n; re(n);
for (int i = 1; i <= n; ++i) {
re(a[i], b[i]);
par[i] = m[b[i]] = i;
}
build(1, 1, 2 * n);
bool can = 1;
for (int i = 1; i <= n; ++i)
can &= query(i, 1, 1, 2 * n, a[i], b[i] - 1);
if (!can) {
return wr("0\n");
}
const int mod = 1e9 + 7;
ll res = 1;
for (int i = 1; i <= n; ++i) {
if(vis[find(i)]) {
continue;
}
vis[find(i)] = 1;
res = (res * 2) % mod;
}
wr(res);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//Open("a");
int t = 1;
for(;t;t--) {
solve();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
377404 KB |
Output is correct |
2 |
Correct |
87 ms |
377640 KB |
Output is correct |
3 |
Correct |
88 ms |
377644 KB |
Output is correct |
4 |
Correct |
87 ms |
377836 KB |
Output is correct |
5 |
Correct |
88 ms |
377636 KB |
Output is correct |
6 |
Correct |
86 ms |
377424 KB |
Output is correct |
7 |
Correct |
86 ms |
377544 KB |
Output is correct |
8 |
Correct |
88 ms |
377424 KB |
Output is correct |
9 |
Correct |
87 ms |
377648 KB |
Output is correct |
10 |
Correct |
88 ms |
377616 KB |
Output is correct |
11 |
Correct |
90 ms |
383772 KB |
Output is correct |
12 |
Correct |
85 ms |
387864 KB |
Output is correct |
13 |
Correct |
84 ms |
387668 KB |
Output is correct |
14 |
Correct |
82 ms |
387668 KB |
Output is correct |
15 |
Correct |
83 ms |
387676 KB |
Output is correct |
16 |
Correct |
83 ms |
387824 KB |
Output is correct |
17 |
Correct |
84 ms |
387664 KB |
Output is correct |
18 |
Correct |
84 ms |
387856 KB |
Output is correct |
19 |
Correct |
104 ms |
387652 KB |
Output is correct |
20 |
Correct |
86 ms |
387768 KB |
Output is correct |
21 |
Correct |
82 ms |
387844 KB |
Output is correct |
22 |
Correct |
83 ms |
387664 KB |
Output is correct |
23 |
Correct |
83 ms |
387856 KB |
Output is correct |
24 |
Correct |
84 ms |
387636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
377404 KB |
Output is correct |
2 |
Correct |
87 ms |
377640 KB |
Output is correct |
3 |
Correct |
88 ms |
377644 KB |
Output is correct |
4 |
Correct |
87 ms |
377836 KB |
Output is correct |
5 |
Correct |
88 ms |
377636 KB |
Output is correct |
6 |
Correct |
86 ms |
377424 KB |
Output is correct |
7 |
Correct |
86 ms |
377544 KB |
Output is correct |
8 |
Correct |
88 ms |
377424 KB |
Output is correct |
9 |
Correct |
87 ms |
377648 KB |
Output is correct |
10 |
Correct |
88 ms |
377616 KB |
Output is correct |
11 |
Correct |
90 ms |
383772 KB |
Output is correct |
12 |
Correct |
85 ms |
387864 KB |
Output is correct |
13 |
Correct |
84 ms |
387668 KB |
Output is correct |
14 |
Correct |
82 ms |
387668 KB |
Output is correct |
15 |
Correct |
83 ms |
387676 KB |
Output is correct |
16 |
Correct |
83 ms |
387824 KB |
Output is correct |
17 |
Correct |
84 ms |
387664 KB |
Output is correct |
18 |
Correct |
84 ms |
387856 KB |
Output is correct |
19 |
Correct |
104 ms |
387652 KB |
Output is correct |
20 |
Correct |
86 ms |
387768 KB |
Output is correct |
21 |
Correct |
82 ms |
387844 KB |
Output is correct |
22 |
Correct |
83 ms |
387664 KB |
Output is correct |
23 |
Correct |
83 ms |
387856 KB |
Output is correct |
24 |
Correct |
84 ms |
387636 KB |
Output is correct |
25 |
Correct |
84 ms |
387924 KB |
Output is correct |
26 |
Correct |
87 ms |
388140 KB |
Output is correct |
27 |
Correct |
84 ms |
387920 KB |
Output is correct |
28 |
Correct |
85 ms |
388156 KB |
Output is correct |
29 |
Correct |
85 ms |
388148 KB |
Output is correct |
30 |
Correct |
83 ms |
387924 KB |
Output is correct |
31 |
Correct |
83 ms |
388056 KB |
Output is correct |
32 |
Correct |
85 ms |
388080 KB |
Output is correct |
33 |
Correct |
86 ms |
388088 KB |
Output is correct |
34 |
Correct |
83 ms |
388124 KB |
Output is correct |
35 |
Correct |
83 ms |
387920 KB |
Output is correct |
36 |
Correct |
84 ms |
388080 KB |
Output is correct |
37 |
Correct |
88 ms |
388152 KB |
Output is correct |
38 |
Correct |
87 ms |
387944 KB |
Output is correct |
39 |
Correct |
83 ms |
388132 KB |
Output is correct |
40 |
Correct |
83 ms |
387880 KB |
Output is correct |
41 |
Correct |
85 ms |
387912 KB |
Output is correct |
42 |
Correct |
83 ms |
388084 KB |
Output is correct |
43 |
Correct |
83 ms |
387924 KB |
Output is correct |
44 |
Correct |
85 ms |
387940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
377404 KB |
Output is correct |
2 |
Correct |
87 ms |
377640 KB |
Output is correct |
3 |
Correct |
88 ms |
377644 KB |
Output is correct |
4 |
Correct |
87 ms |
377836 KB |
Output is correct |
5 |
Correct |
88 ms |
377636 KB |
Output is correct |
6 |
Correct |
86 ms |
377424 KB |
Output is correct |
7 |
Correct |
86 ms |
377544 KB |
Output is correct |
8 |
Correct |
88 ms |
377424 KB |
Output is correct |
9 |
Correct |
87 ms |
377648 KB |
Output is correct |
10 |
Correct |
88 ms |
377616 KB |
Output is correct |
11 |
Correct |
90 ms |
383772 KB |
Output is correct |
12 |
Correct |
85 ms |
387864 KB |
Output is correct |
13 |
Correct |
84 ms |
387668 KB |
Output is correct |
14 |
Correct |
82 ms |
387668 KB |
Output is correct |
15 |
Correct |
83 ms |
387676 KB |
Output is correct |
16 |
Correct |
83 ms |
387824 KB |
Output is correct |
17 |
Correct |
84 ms |
387664 KB |
Output is correct |
18 |
Correct |
84 ms |
387856 KB |
Output is correct |
19 |
Correct |
104 ms |
387652 KB |
Output is correct |
20 |
Correct |
86 ms |
387768 KB |
Output is correct |
21 |
Correct |
82 ms |
387844 KB |
Output is correct |
22 |
Correct |
83 ms |
387664 KB |
Output is correct |
23 |
Correct |
83 ms |
387856 KB |
Output is correct |
24 |
Correct |
84 ms |
387636 KB |
Output is correct |
25 |
Correct |
84 ms |
387924 KB |
Output is correct |
26 |
Correct |
87 ms |
388140 KB |
Output is correct |
27 |
Correct |
84 ms |
387920 KB |
Output is correct |
28 |
Correct |
85 ms |
388156 KB |
Output is correct |
29 |
Correct |
85 ms |
388148 KB |
Output is correct |
30 |
Correct |
83 ms |
387924 KB |
Output is correct |
31 |
Correct |
83 ms |
388056 KB |
Output is correct |
32 |
Correct |
85 ms |
388080 KB |
Output is correct |
33 |
Correct |
86 ms |
388088 KB |
Output is correct |
34 |
Correct |
83 ms |
388124 KB |
Output is correct |
35 |
Correct |
83 ms |
387920 KB |
Output is correct |
36 |
Correct |
84 ms |
388080 KB |
Output is correct |
37 |
Correct |
88 ms |
388152 KB |
Output is correct |
38 |
Correct |
87 ms |
387944 KB |
Output is correct |
39 |
Correct |
83 ms |
388132 KB |
Output is correct |
40 |
Correct |
83 ms |
387880 KB |
Output is correct |
41 |
Correct |
85 ms |
387912 KB |
Output is correct |
42 |
Correct |
83 ms |
388084 KB |
Output is correct |
43 |
Correct |
83 ms |
387924 KB |
Output is correct |
44 |
Correct |
85 ms |
387940 KB |
Output is correct |
45 |
Correct |
191 ms |
409324 KB |
Output is correct |
46 |
Correct |
186 ms |
409204 KB |
Output is correct |
47 |
Correct |
185 ms |
409220 KB |
Output is correct |
48 |
Correct |
196 ms |
409496 KB |
Output is correct |
49 |
Correct |
186 ms |
409292 KB |
Output is correct |
50 |
Correct |
217 ms |
408776 KB |
Output is correct |
51 |
Correct |
193 ms |
409256 KB |
Output is correct |
52 |
Correct |
145 ms |
409292 KB |
Output is correct |
53 |
Correct |
167 ms |
404680 KB |
Output is correct |
54 |
Correct |
205 ms |
405196 KB |
Output is correct |
55 |
Correct |
193 ms |
406728 KB |
Output is correct |
56 |
Correct |
189 ms |
406600 KB |
Output is correct |
57 |
Correct |
151 ms |
409272 KB |
Output is correct |
58 |
Correct |
147 ms |
409172 KB |
Output is correct |
59 |
Correct |
175 ms |
410276 KB |
Output is correct |
60 |
Correct |
181 ms |
409804 KB |
Output is correct |
61 |
Correct |
174 ms |
409464 KB |
Output is correct |
62 |
Correct |
165 ms |
409804 KB |
Output is correct |
63 |
Correct |
170 ms |
409232 KB |
Output is correct |
64 |
Correct |
186 ms |
409232 KB |
Output is correct |
65 |
Correct |
220 ms |
407756 KB |
Output is correct |
66 |
Correct |
232 ms |
407676 KB |
Output is correct |
67 |
Correct |
188 ms |
407672 KB |
Output is correct |
68 |
Correct |
192 ms |
407628 KB |
Output is correct |
69 |
Correct |
192 ms |
408136 KB |
Output is correct |
70 |
Correct |
191 ms |
407952 KB |
Output is correct |
71 |
Correct |
167 ms |
404936 KB |
Output is correct |
72 |
Correct |
173 ms |
405192 KB |
Output is correct |
73 |
Correct |
171 ms |
404940 KB |
Output is correct |
74 |
Correct |
170 ms |
404944 KB |
Output is correct |
75 |
Correct |
178 ms |
409288 KB |
Output is correct |
76 |
Correct |
157 ms |
409292 KB |
Output is correct |
77 |
Correct |
161 ms |
409288 KB |
Output is correct |
78 |
Correct |
184 ms |
409292 KB |
Output is correct |
79 |
Correct |
187 ms |
409268 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
377404 KB |
Output is correct |
2 |
Correct |
87 ms |
377640 KB |
Output is correct |
3 |
Correct |
88 ms |
377644 KB |
Output is correct |
4 |
Correct |
87 ms |
377836 KB |
Output is correct |
5 |
Correct |
88 ms |
377636 KB |
Output is correct |
6 |
Correct |
86 ms |
377424 KB |
Output is correct |
7 |
Correct |
86 ms |
377544 KB |
Output is correct |
8 |
Correct |
88 ms |
377424 KB |
Output is correct |
9 |
Correct |
87 ms |
377648 KB |
Output is correct |
10 |
Correct |
88 ms |
377616 KB |
Output is correct |
11 |
Correct |
90 ms |
383772 KB |
Output is correct |
12 |
Correct |
85 ms |
387864 KB |
Output is correct |
13 |
Correct |
84 ms |
387668 KB |
Output is correct |
14 |
Correct |
82 ms |
387668 KB |
Output is correct |
15 |
Correct |
83 ms |
387676 KB |
Output is correct |
16 |
Correct |
83 ms |
387824 KB |
Output is correct |
17 |
Correct |
84 ms |
387664 KB |
Output is correct |
18 |
Correct |
84 ms |
387856 KB |
Output is correct |
19 |
Correct |
104 ms |
387652 KB |
Output is correct |
20 |
Correct |
86 ms |
387768 KB |
Output is correct |
21 |
Correct |
82 ms |
387844 KB |
Output is correct |
22 |
Correct |
83 ms |
387664 KB |
Output is correct |
23 |
Correct |
83 ms |
387856 KB |
Output is correct |
24 |
Correct |
84 ms |
387636 KB |
Output is correct |
25 |
Correct |
84 ms |
387924 KB |
Output is correct |
26 |
Correct |
87 ms |
388140 KB |
Output is correct |
27 |
Correct |
84 ms |
387920 KB |
Output is correct |
28 |
Correct |
85 ms |
388156 KB |
Output is correct |
29 |
Correct |
85 ms |
388148 KB |
Output is correct |
30 |
Correct |
83 ms |
387924 KB |
Output is correct |
31 |
Correct |
83 ms |
388056 KB |
Output is correct |
32 |
Correct |
85 ms |
388080 KB |
Output is correct |
33 |
Correct |
86 ms |
388088 KB |
Output is correct |
34 |
Correct |
83 ms |
388124 KB |
Output is correct |
35 |
Correct |
83 ms |
387920 KB |
Output is correct |
36 |
Correct |
84 ms |
388080 KB |
Output is correct |
37 |
Correct |
88 ms |
388152 KB |
Output is correct |
38 |
Correct |
87 ms |
387944 KB |
Output is correct |
39 |
Correct |
83 ms |
388132 KB |
Output is correct |
40 |
Correct |
83 ms |
387880 KB |
Output is correct |
41 |
Correct |
85 ms |
387912 KB |
Output is correct |
42 |
Correct |
83 ms |
388084 KB |
Output is correct |
43 |
Correct |
83 ms |
387924 KB |
Output is correct |
44 |
Correct |
85 ms |
387940 KB |
Output is correct |
45 |
Correct |
191 ms |
409324 KB |
Output is correct |
46 |
Correct |
186 ms |
409204 KB |
Output is correct |
47 |
Correct |
185 ms |
409220 KB |
Output is correct |
48 |
Correct |
196 ms |
409496 KB |
Output is correct |
49 |
Correct |
186 ms |
409292 KB |
Output is correct |
50 |
Correct |
217 ms |
408776 KB |
Output is correct |
51 |
Correct |
193 ms |
409256 KB |
Output is correct |
52 |
Correct |
145 ms |
409292 KB |
Output is correct |
53 |
Correct |
167 ms |
404680 KB |
Output is correct |
54 |
Correct |
205 ms |
405196 KB |
Output is correct |
55 |
Correct |
193 ms |
406728 KB |
Output is correct |
56 |
Correct |
189 ms |
406600 KB |
Output is correct |
57 |
Correct |
151 ms |
409272 KB |
Output is correct |
58 |
Correct |
147 ms |
409172 KB |
Output is correct |
59 |
Correct |
175 ms |
410276 KB |
Output is correct |
60 |
Correct |
181 ms |
409804 KB |
Output is correct |
61 |
Correct |
174 ms |
409464 KB |
Output is correct |
62 |
Correct |
165 ms |
409804 KB |
Output is correct |
63 |
Correct |
170 ms |
409232 KB |
Output is correct |
64 |
Correct |
186 ms |
409232 KB |
Output is correct |
65 |
Correct |
220 ms |
407756 KB |
Output is correct |
66 |
Correct |
232 ms |
407676 KB |
Output is correct |
67 |
Correct |
188 ms |
407672 KB |
Output is correct |
68 |
Correct |
192 ms |
407628 KB |
Output is correct |
69 |
Correct |
192 ms |
408136 KB |
Output is correct |
70 |
Correct |
191 ms |
407952 KB |
Output is correct |
71 |
Correct |
167 ms |
404936 KB |
Output is correct |
72 |
Correct |
173 ms |
405192 KB |
Output is correct |
73 |
Correct |
171 ms |
404940 KB |
Output is correct |
74 |
Correct |
170 ms |
404944 KB |
Output is correct |
75 |
Correct |
178 ms |
409288 KB |
Output is correct |
76 |
Correct |
157 ms |
409292 KB |
Output is correct |
77 |
Correct |
161 ms |
409288 KB |
Output is correct |
78 |
Correct |
184 ms |
409292 KB |
Output is correct |
79 |
Correct |
187 ms |
409268 KB |
Output is correct |
80 |
Correct |
1958 ms |
597568 KB |
Output is correct |
81 |
Correct |
1856 ms |
604780 KB |
Output is correct |
82 |
Correct |
1766 ms |
604800 KB |
Output is correct |
83 |
Correct |
1886 ms |
604832 KB |
Output is correct |
84 |
Correct |
1830 ms |
605376 KB |
Output is correct |
85 |
Correct |
1835 ms |
602948 KB |
Output is correct |
86 |
Correct |
1851 ms |
603008 KB |
Output is correct |
87 |
Correct |
860 ms |
602320 KB |
Output is correct |
88 |
Correct |
1517 ms |
574768 KB |
Output is correct |
89 |
Correct |
1998 ms |
572604 KB |
Output is correct |
90 |
Correct |
2072 ms |
572608 KB |
Output is correct |
91 |
Correct |
2056 ms |
572532 KB |
Output is correct |
92 |
Correct |
1048 ms |
597048 KB |
Output is correct |
93 |
Correct |
931 ms |
594704 KB |
Output is correct |
94 |
Correct |
1451 ms |
617672 KB |
Output is correct |
95 |
Correct |
1598 ms |
613064 KB |
Output is correct |
96 |
Correct |
1707 ms |
608752 KB |
Output is correct |
97 |
Correct |
1396 ms |
614216 KB |
Output is correct |
98 |
Correct |
1661 ms |
610560 KB |
Output is correct |
99 |
Correct |
1799 ms |
607024 KB |
Output is correct |
100 |
Correct |
2884 ms |
588304 KB |
Output is correct |
101 |
Correct |
3079 ms |
588204 KB |
Output is correct |
102 |
Correct |
2105 ms |
588264 KB |
Output is correct |
103 |
Correct |
2048 ms |
588068 KB |
Output is correct |
104 |
Correct |
2212 ms |
591344 KB |
Output is correct |
105 |
Correct |
2237 ms |
591328 KB |
Output is correct |
106 |
Correct |
1498 ms |
572536 KB |
Output is correct |
107 |
Correct |
1502 ms |
572724 KB |
Output is correct |
108 |
Correct |
1478 ms |
572728 KB |
Output is correct |
109 |
Correct |
1487 ms |
572864 KB |
Output is correct |
110 |
Correct |
1219 ms |
602064 KB |
Output is correct |
111 |
Correct |
1206 ms |
602188 KB |
Output is correct |
112 |
Correct |
1180 ms |
602152 KB |
Output is correct |
113 |
Correct |
1910 ms |
604928 KB |
Output is correct |
114 |
Correct |
1816 ms |
605108 KB |
Output is correct |