Submission #985068

# Submission time Handle Problem Language Result Execution time Memory
985068 2024-05-17T10:19:58 Z siewjh Boat (APIO16_boat) C++17
100 / 100
484 ms 4556 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = 1e9 + 7;
ll pref[505][1005], ia[505];
ll pwr(ll a, ll b){
	ll ans = 1;
	while (b){
		if (b & 1) ans = ans * a % mod;
		a = a * a % mod;
		b >>= 1;
	}
	return ans;
}
ll inv(ll a){
	return pwr(a, mod - 2);
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0); cout.tie(0);
	int nums; cin >> nums;
	for (int i = 1; i <= nums; i++) ia[i] = inv(i);
	vector<ll> av(nums + 1), bv(nums + 1), disc; disc.push_back(-1);
	for (int i = 1; i <= nums; i++){
		ll a, b; cin >> a >> b; b++;
		av[i] = a; bv[i] = b;
		disc.push_back(a); disc.push_back(b);
	}
	sort(disc.begin(), disc.end());
	disc.resize(distance(disc.begin(), unique(disc.begin(), disc.end())));
	int segs = disc.size() - 2;
	for (int j = 0; j <= segs; j++) pref[0][j] = 1;
	ll ans = 0;
	for (int i = 1; i <= nums; i++)
		for (int j = 1; j <= segs; j++){
			ll dpv = 0, len = disc[j + 1] - disc[j];
			if (av[i] <= disc[j] && bv[i] >= disc[j + 1]){
				ll cv = len; int cnt = 1;
				for (int k = i - 1; k >= 0; k--){
					dpv = (dpv + pref[k][j - 1] * cv % mod) % mod;
					if (av[k] <= disc[j] && bv[k] >= disc[j + 1]){
						cnt++; cv = cv * (len + cnt - 1) % mod * ia[cnt] % mod;
					}
				}
			}
			pref[i][j] = (pref[i][j - 1] + dpv) % mod;
			ans = (ans + dpv) % mod;
		}
	cout << ans;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4184 KB Output is correct
2 Correct 4 ms 4184 KB Output is correct
3 Correct 5 ms 4284 KB Output is correct
4 Correct 5 ms 4188 KB Output is correct
5 Correct 5 ms 4444 KB Output is correct
6 Correct 4 ms 4188 KB Output is correct
7 Correct 5 ms 4444 KB Output is correct
8 Correct 4 ms 4188 KB Output is correct
9 Correct 4 ms 4188 KB Output is correct
10 Correct 4 ms 4184 KB Output is correct
11 Correct 5 ms 4188 KB Output is correct
12 Correct 4 ms 4280 KB Output is correct
13 Correct 5 ms 4188 KB Output is correct
14 Correct 4 ms 4188 KB Output is correct
15 Correct 5 ms 4312 KB Output is correct
16 Correct 3 ms 3032 KB Output is correct
17 Correct 3 ms 3160 KB Output is correct
18 Correct 3 ms 3032 KB Output is correct
19 Correct 3 ms 3160 KB Output is correct
20 Correct 3 ms 3160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4184 KB Output is correct
2 Correct 4 ms 4184 KB Output is correct
3 Correct 5 ms 4284 KB Output is correct
4 Correct 5 ms 4188 KB Output is correct
5 Correct 5 ms 4444 KB Output is correct
6 Correct 4 ms 4188 KB Output is correct
7 Correct 5 ms 4444 KB Output is correct
8 Correct 4 ms 4188 KB Output is correct
9 Correct 4 ms 4188 KB Output is correct
10 Correct 4 ms 4184 KB Output is correct
11 Correct 5 ms 4188 KB Output is correct
12 Correct 4 ms 4280 KB Output is correct
13 Correct 5 ms 4188 KB Output is correct
14 Correct 4 ms 4188 KB Output is correct
15 Correct 5 ms 4312 KB Output is correct
16 Correct 3 ms 3032 KB Output is correct
17 Correct 3 ms 3160 KB Output is correct
18 Correct 3 ms 3032 KB Output is correct
19 Correct 3 ms 3160 KB Output is correct
20 Correct 3 ms 3160 KB Output is correct
21 Correct 223 ms 4332 KB Output is correct
22 Correct 218 ms 4244 KB Output is correct
23 Correct 191 ms 4252 KB Output is correct
24 Correct 209 ms 4176 KB Output is correct
25 Correct 222 ms 4556 KB Output is correct
26 Correct 416 ms 4432 KB Output is correct
27 Correct 429 ms 4176 KB Output is correct
28 Correct 420 ms 4212 KB Output is correct
29 Correct 412 ms 4176 KB Output is correct
30 Correct 5 ms 4188 KB Output is correct
31 Correct 5 ms 4184 KB Output is correct
32 Correct 6 ms 4188 KB Output is correct
33 Correct 5 ms 4188 KB Output is correct
34 Correct 5 ms 4188 KB Output is correct
35 Correct 6 ms 4188 KB Output is correct
36 Correct 6 ms 4452 KB Output is correct
37 Correct 6 ms 4308 KB Output is correct
38 Correct 6 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 3 ms 860 KB Output is correct
5 Correct 3 ms 860 KB Output is correct
6 Correct 4 ms 860 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 4 ms 860 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 5 ms 860 KB Output is correct
11 Correct 3 ms 860 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 3 ms 860 KB Output is correct
14 Correct 2 ms 860 KB Output is correct
15 Correct 3 ms 860 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 856 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4184 KB Output is correct
2 Correct 4 ms 4184 KB Output is correct
3 Correct 5 ms 4284 KB Output is correct
4 Correct 5 ms 4188 KB Output is correct
5 Correct 5 ms 4444 KB Output is correct
6 Correct 4 ms 4188 KB Output is correct
7 Correct 5 ms 4444 KB Output is correct
8 Correct 4 ms 4188 KB Output is correct
9 Correct 4 ms 4188 KB Output is correct
10 Correct 4 ms 4184 KB Output is correct
11 Correct 5 ms 4188 KB Output is correct
12 Correct 4 ms 4280 KB Output is correct
13 Correct 5 ms 4188 KB Output is correct
14 Correct 4 ms 4188 KB Output is correct
15 Correct 5 ms 4312 KB Output is correct
16 Correct 3 ms 3032 KB Output is correct
17 Correct 3 ms 3160 KB Output is correct
18 Correct 3 ms 3032 KB Output is correct
19 Correct 3 ms 3160 KB Output is correct
20 Correct 3 ms 3160 KB Output is correct
21 Correct 223 ms 4332 KB Output is correct
22 Correct 218 ms 4244 KB Output is correct
23 Correct 191 ms 4252 KB Output is correct
24 Correct 209 ms 4176 KB Output is correct
25 Correct 222 ms 4556 KB Output is correct
26 Correct 416 ms 4432 KB Output is correct
27 Correct 429 ms 4176 KB Output is correct
28 Correct 420 ms 4212 KB Output is correct
29 Correct 412 ms 4176 KB Output is correct
30 Correct 5 ms 4188 KB Output is correct
31 Correct 5 ms 4184 KB Output is correct
32 Correct 6 ms 4188 KB Output is correct
33 Correct 5 ms 4188 KB Output is correct
34 Correct 5 ms 4188 KB Output is correct
35 Correct 6 ms 4188 KB Output is correct
36 Correct 6 ms 4452 KB Output is correct
37 Correct 6 ms 4308 KB Output is correct
38 Correct 6 ms 4444 KB Output is correct
39 Correct 3 ms 860 KB Output is correct
40 Correct 2 ms 860 KB Output is correct
41 Correct 2 ms 860 KB Output is correct
42 Correct 3 ms 860 KB Output is correct
43 Correct 3 ms 860 KB Output is correct
44 Correct 4 ms 860 KB Output is correct
45 Correct 4 ms 860 KB Output is correct
46 Correct 4 ms 860 KB Output is correct
47 Correct 4 ms 860 KB Output is correct
48 Correct 5 ms 860 KB Output is correct
49 Correct 3 ms 860 KB Output is correct
50 Correct 3 ms 860 KB Output is correct
51 Correct 3 ms 860 KB Output is correct
52 Correct 2 ms 860 KB Output is correct
53 Correct 3 ms 860 KB Output is correct
54 Correct 2 ms 860 KB Output is correct
55 Correct 2 ms 860 KB Output is correct
56 Correct 2 ms 860 KB Output is correct
57 Correct 2 ms 856 KB Output is correct
58 Correct 2 ms 860 KB Output is correct
59 Correct 252 ms 4464 KB Output is correct
60 Correct 229 ms 4252 KB Output is correct
61 Correct 209 ms 4332 KB Output is correct
62 Correct 246 ms 4276 KB Output is correct
63 Correct 231 ms 4180 KB Output is correct
64 Correct 474 ms 4520 KB Output is correct
65 Correct 476 ms 4280 KB Output is correct
66 Correct 475 ms 4400 KB Output is correct
67 Correct 483 ms 4288 KB Output is correct
68 Correct 484 ms 4280 KB Output is correct
69 Correct 195 ms 4236 KB Output is correct
70 Correct 193 ms 4304 KB Output is correct
71 Correct 189 ms 4180 KB Output is correct
72 Correct 201 ms 4236 KB Output is correct
73 Correct 202 ms 4236 KB Output is correct
74 Correct 50 ms 3112 KB Output is correct
75 Correct 47 ms 3156 KB Output is correct
76 Correct 51 ms 3156 KB Output is correct
77 Correct 51 ms 3024 KB Output is correct
78 Correct 53 ms 3088 KB Output is correct