#include<iostream>
#include<algorithm>
#include<vector>
using namespace std;
#define int long long
#define vel vector<long long>
#define V vector
#define ll long long
#define rep(i,n) for(int i=0;i<n;i++)
int pr = 1000000007;
void uni(vel &a) {
vel ans(1, a[0]);
int n = a.size();
rep(i,n - 1) { if (a[i + 1] != a[i]) { ans.push_back(a[i + 1]); } }
a = ans;
}
int rui(int a, int n) {
if (n == 0) { return 1; }
int back = rui(a, n / 2);
back *= back; back %= pr;
if (n % 2 == 0) { return back; }
return (back*a) % pr;
}
int inv(int a) {
return rui(a, pr - 2);
}
signed main() {
int n; cin >> n;
vel a(n);
vel b(n);
vel all_time(1, 0);
rep(i, n) {
cin >> a[i] >> b[i]; b[i]++;
all_time.push_back(a[i]);
all_time.push_back(b[i]);
}
sort(all_time.begin(), all_time.end());
uni(all_time);
int sz = all_time.size();
vel gap(sz - 1);
rep(i, sz - 1) { gap[i] = all_time[i + 1] - all_time[i]; }
vel count(sz-1);
rep(i, n) {
a[i] = lower_bound(all_time.begin(), all_time.end(), a[i])-all_time.begin();
b[i] = lower_bound(all_time.begin(), all_time.end(), b[i])-all_time.begin();
rep(j, b[i] - a[i]) {
count[a[i] + j]++;
}
}
V<vel> com(sz-1);
rep(i, sz-1) {
int ba = 1;
rep(j, count[i]) {
ba *= gap[i] - j; ba %= pr;
ba *= inv(j + 1); ba %= pr;
com[i].push_back(ba);
}
}
V<V<vel>> dp1(2, V<vel>(sz-1,vel(n)));
vel now_count(sz - 1, 0);
rep(i, n) {
int now = i % 2;
int nex = (i + 1) % 2;
dp1[nex] = dp1[now];
int sum = 1;
rep(j, a[i]) {
rep(k, now_count[j]) {
sum += dp1[now][j][k] * com[j][k];
sum %= pr;
}
}
for (int j = a[i]; j < b[i]; j++) {
dp1[nex][j][0] += sum; dp1[nex][j][0] %= pr;
rep(k, now_count[j]) {
dp1[nex][j][k + 1] += dp1[now][j][k]; dp1[nex][j][k + 1] %= pr;
sum += dp1[now][j][k] * com[j][k];
sum %= pr;
}
sum += dp1[now][j][now_count[j]] * com[j][now_count[j]];
sum %= pr;
now_count[j]++;
}
}
int ans = 0;
rep(i, sz-1) {
rep(k, count[i]) {
ans += dp1[n%2][i][k] * com[i][k];
ans %= pr;
}
}
cout << ans << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
224 ms |
12288 KB |
Output is correct |
2 |
Correct |
196 ms |
12400 KB |
Output is correct |
3 |
Correct |
200 ms |
12288 KB |
Output is correct |
4 |
Correct |
226 ms |
12416 KB |
Output is correct |
5 |
Correct |
218 ms |
12288 KB |
Output is correct |
6 |
Correct |
226 ms |
12288 KB |
Output is correct |
7 |
Correct |
177 ms |
12288 KB |
Output is correct |
8 |
Correct |
209 ms |
12328 KB |
Output is correct |
9 |
Correct |
211 ms |
12288 KB |
Output is correct |
10 |
Correct |
210 ms |
12292 KB |
Output is correct |
11 |
Correct |
223 ms |
12288 KB |
Output is correct |
12 |
Correct |
211 ms |
12288 KB |
Output is correct |
13 |
Correct |
225 ms |
12288 KB |
Output is correct |
14 |
Correct |
225 ms |
12260 KB |
Output is correct |
15 |
Correct |
226 ms |
12380 KB |
Output is correct |
16 |
Correct |
35 ms |
2432 KB |
Output is correct |
17 |
Correct |
41 ms |
2560 KB |
Output is correct |
18 |
Correct |
34 ms |
2552 KB |
Output is correct |
19 |
Correct |
40 ms |
2688 KB |
Output is correct |
20 |
Correct |
37 ms |
2560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
224 ms |
12288 KB |
Output is correct |
2 |
Correct |
196 ms |
12400 KB |
Output is correct |
3 |
Correct |
200 ms |
12288 KB |
Output is correct |
4 |
Correct |
226 ms |
12416 KB |
Output is correct |
5 |
Correct |
218 ms |
12288 KB |
Output is correct |
6 |
Correct |
226 ms |
12288 KB |
Output is correct |
7 |
Correct |
177 ms |
12288 KB |
Output is correct |
8 |
Correct |
209 ms |
12328 KB |
Output is correct |
9 |
Correct |
211 ms |
12288 KB |
Output is correct |
10 |
Correct |
210 ms |
12292 KB |
Output is correct |
11 |
Correct |
223 ms |
12288 KB |
Output is correct |
12 |
Correct |
211 ms |
12288 KB |
Output is correct |
13 |
Correct |
225 ms |
12288 KB |
Output is correct |
14 |
Correct |
225 ms |
12260 KB |
Output is correct |
15 |
Correct |
226 ms |
12380 KB |
Output is correct |
16 |
Correct |
35 ms |
2432 KB |
Output is correct |
17 |
Correct |
41 ms |
2560 KB |
Output is correct |
18 |
Correct |
34 ms |
2552 KB |
Output is correct |
19 |
Correct |
40 ms |
2688 KB |
Output is correct |
20 |
Correct |
37 ms |
2560 KB |
Output is correct |
21 |
Correct |
1006 ms |
12948 KB |
Output is correct |
22 |
Correct |
1080 ms |
13048 KB |
Output is correct |
23 |
Correct |
1038 ms |
12664 KB |
Output is correct |
24 |
Correct |
1139 ms |
12756 KB |
Output is correct |
25 |
Correct |
1096 ms |
12768 KB |
Output is correct |
26 |
Correct |
1677 ms |
13304 KB |
Output is correct |
27 |
Correct |
1650 ms |
13464 KB |
Output is correct |
28 |
Correct |
1624 ms |
13156 KB |
Output is correct |
29 |
Correct |
1540 ms |
13180 KB |
Output is correct |
30 |
Correct |
207 ms |
12408 KB |
Output is correct |
31 |
Correct |
214 ms |
12288 KB |
Output is correct |
32 |
Correct |
222 ms |
12280 KB |
Output is correct |
33 |
Correct |
211 ms |
12288 KB |
Output is correct |
34 |
Correct |
214 ms |
12280 KB |
Output is correct |
35 |
Correct |
213 ms |
12280 KB |
Output is correct |
36 |
Correct |
218 ms |
12288 KB |
Output is correct |
37 |
Correct |
214 ms |
12276 KB |
Output is correct |
38 |
Correct |
219 ms |
12280 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
896 KB |
Output is correct |
2 |
Correct |
13 ms |
972 KB |
Output is correct |
3 |
Correct |
17 ms |
896 KB |
Output is correct |
4 |
Correct |
16 ms |
896 KB |
Output is correct |
5 |
Correct |
15 ms |
896 KB |
Output is correct |
6 |
Correct |
24 ms |
1016 KB |
Output is correct |
7 |
Correct |
23 ms |
768 KB |
Output is correct |
8 |
Correct |
24 ms |
1024 KB |
Output is correct |
9 |
Correct |
27 ms |
976 KB |
Output is correct |
10 |
Correct |
25 ms |
896 KB |
Output is correct |
11 |
Correct |
18 ms |
1024 KB |
Output is correct |
12 |
Correct |
15 ms |
896 KB |
Output is correct |
13 |
Correct |
16 ms |
868 KB |
Output is correct |
14 |
Correct |
16 ms |
896 KB |
Output is correct |
15 |
Correct |
18 ms |
896 KB |
Output is correct |
16 |
Correct |
10 ms |
640 KB |
Output is correct |
17 |
Correct |
10 ms |
640 KB |
Output is correct |
18 |
Correct |
10 ms |
640 KB |
Output is correct |
19 |
Correct |
10 ms |
640 KB |
Output is correct |
20 |
Correct |
9 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
224 ms |
12288 KB |
Output is correct |
2 |
Correct |
196 ms |
12400 KB |
Output is correct |
3 |
Correct |
200 ms |
12288 KB |
Output is correct |
4 |
Correct |
226 ms |
12416 KB |
Output is correct |
5 |
Correct |
218 ms |
12288 KB |
Output is correct |
6 |
Correct |
226 ms |
12288 KB |
Output is correct |
7 |
Correct |
177 ms |
12288 KB |
Output is correct |
8 |
Correct |
209 ms |
12328 KB |
Output is correct |
9 |
Correct |
211 ms |
12288 KB |
Output is correct |
10 |
Correct |
210 ms |
12292 KB |
Output is correct |
11 |
Correct |
223 ms |
12288 KB |
Output is correct |
12 |
Correct |
211 ms |
12288 KB |
Output is correct |
13 |
Correct |
225 ms |
12288 KB |
Output is correct |
14 |
Correct |
225 ms |
12260 KB |
Output is correct |
15 |
Correct |
226 ms |
12380 KB |
Output is correct |
16 |
Correct |
35 ms |
2432 KB |
Output is correct |
17 |
Correct |
41 ms |
2560 KB |
Output is correct |
18 |
Correct |
34 ms |
2552 KB |
Output is correct |
19 |
Correct |
40 ms |
2688 KB |
Output is correct |
20 |
Correct |
37 ms |
2560 KB |
Output is correct |
21 |
Correct |
1006 ms |
12948 KB |
Output is correct |
22 |
Correct |
1080 ms |
13048 KB |
Output is correct |
23 |
Correct |
1038 ms |
12664 KB |
Output is correct |
24 |
Correct |
1139 ms |
12756 KB |
Output is correct |
25 |
Correct |
1096 ms |
12768 KB |
Output is correct |
26 |
Correct |
1677 ms |
13304 KB |
Output is correct |
27 |
Correct |
1650 ms |
13464 KB |
Output is correct |
28 |
Correct |
1624 ms |
13156 KB |
Output is correct |
29 |
Correct |
1540 ms |
13180 KB |
Output is correct |
30 |
Correct |
207 ms |
12408 KB |
Output is correct |
31 |
Correct |
214 ms |
12288 KB |
Output is correct |
32 |
Correct |
222 ms |
12280 KB |
Output is correct |
33 |
Correct |
211 ms |
12288 KB |
Output is correct |
34 |
Correct |
214 ms |
12280 KB |
Output is correct |
35 |
Correct |
213 ms |
12280 KB |
Output is correct |
36 |
Correct |
218 ms |
12288 KB |
Output is correct |
37 |
Correct |
214 ms |
12276 KB |
Output is correct |
38 |
Correct |
219 ms |
12280 KB |
Output is correct |
39 |
Correct |
16 ms |
896 KB |
Output is correct |
40 |
Correct |
13 ms |
972 KB |
Output is correct |
41 |
Correct |
17 ms |
896 KB |
Output is correct |
42 |
Correct |
16 ms |
896 KB |
Output is correct |
43 |
Correct |
15 ms |
896 KB |
Output is correct |
44 |
Correct |
24 ms |
1016 KB |
Output is correct |
45 |
Correct |
23 ms |
768 KB |
Output is correct |
46 |
Correct |
24 ms |
1024 KB |
Output is correct |
47 |
Correct |
27 ms |
976 KB |
Output is correct |
48 |
Correct |
25 ms |
896 KB |
Output is correct |
49 |
Correct |
18 ms |
1024 KB |
Output is correct |
50 |
Correct |
15 ms |
896 KB |
Output is correct |
51 |
Correct |
16 ms |
868 KB |
Output is correct |
52 |
Correct |
16 ms |
896 KB |
Output is correct |
53 |
Correct |
18 ms |
896 KB |
Output is correct |
54 |
Correct |
10 ms |
640 KB |
Output is correct |
55 |
Correct |
10 ms |
640 KB |
Output is correct |
56 |
Correct |
10 ms |
640 KB |
Output is correct |
57 |
Correct |
10 ms |
640 KB |
Output is correct |
58 |
Correct |
9 ms |
640 KB |
Output is correct |
59 |
Correct |
1331 ms |
13936 KB |
Output is correct |
60 |
Correct |
1296 ms |
13944 KB |
Output is correct |
61 |
Correct |
1195 ms |
13892 KB |
Output is correct |
62 |
Correct |
1364 ms |
14256 KB |
Output is correct |
63 |
Correct |
1365 ms |
13948 KB |
Output is correct |
64 |
Execution timed out |
2055 ms |
14840 KB |
Time limit exceeded |
65 |
Halted |
0 ms |
0 KB |
- |