Submission #859921

# Submission time Handle Problem Language Result Execution time Memory
859921 2023-10-11T07:30:54 Z bliss08 Boat (APIO16_boat) C++17
100 / 100
480 ms 4692 KB
#include <bits/stdc++.h>
#define ll long long
#define MOD (ll)(1e9 + 7)

using namespace std;

ll lo[1020], hi[1020];

ll A[510], B[510], baser[510];

ll dp[510][1020];

ll cnt, tot, N;

void add_mod(ll& ret, ll params)
{
	ret += params;
	ret %= MOD;
}

void mul_mod(ll& ret, ll params)
{
	ret *= params;
	ret %= MOD;
}

void sub_mod(ll& ret, ll params)
{
	ret = (ret - params + MOD) % MOD;
}

void precomp()
{
	baser[1] = 1;

	for (ll i = 2; i <= N; i++)
	{
		baser[i] = MOD - (MOD / i);
		mul_mod(baser[i], baser[MOD % i]);
	}

	stable_sort(hi + 1, hi + cnt + 1);
	cnt = unique(hi + 1, hi + cnt + 1) - hi;

	for (ll i = 1; i <= N; i++)
	{
		A[i] = lower_bound(hi + 1, hi + cnt, A[i]) - hi;
		B[i] = lower_bound(hi + 1, hi + cnt, B[i]) - hi;
	}

	cnt -= 2;

	for (ll i = 1; i <= cnt; i++)
	{
		lo[i] = hi[i + 1];
		sub_mod(lo[i], hi[i]);
	}
}

void solve()
{
	for (ll i = 0; i <= cnt; i++)
		dp[0][i] = 1;

	for (ll i = 1; i <= N; i++)
	{
		for (ll j = A[i], t = B[i]; j < t; j++)
		{
			ll C = lo[j], r = lo[j], inn = 1;

			for (ll k = i - 1; k >= 0; k--)
			{
				ll tmp = dp[k][j - 1];
				mul_mod(tmp, C);
				add_mod(dp[i][j], tmp);

				if (A[k] > j || j >= B[k])
					continue;

				r++, inn++;
				tmp = C;
				mul_mod(tmp, r);
				mul_mod(tmp, baser[inn]);
				C = tmp;
			}
		}

		for (ll j = 2; j <= cnt; j++)
			add_mod(dp[i][j], dp[i][j - 1]);
	}

	for (ll i = 1; i <= N; i++)
		add_mod(tot, dp[i][cnt]);
}

int main()
{
	cin >> N;

	for (ll i = 1; i <= N; i++)
	{
		cin >> A[i] >> B[i];
		hi[++cnt] = A[i];
		hi[++cnt] = ++B[i];
	}

	precomp();

	solve();

	cout << tot;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 6 ms 4296 KB Output is correct
3 Correct 6 ms 4440 KB Output is correct
4 Correct 6 ms 4292 KB Output is correct
5 Correct 6 ms 4312 KB Output is correct
6 Correct 6 ms 4444 KB Output is correct
7 Correct 6 ms 4440 KB Output is correct
8 Correct 6 ms 4440 KB Output is correct
9 Correct 7 ms 4444 KB Output is correct
10 Correct 6 ms 4292 KB Output is correct
11 Correct 6 ms 4444 KB Output is correct
12 Correct 6 ms 4444 KB Output is correct
13 Correct 6 ms 4444 KB Output is correct
14 Correct 6 ms 4308 KB Output is correct
15 Correct 6 ms 4316 KB Output is correct
16 Correct 3 ms 3164 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 3164 KB Output is correct
19 Correct 3 ms 3164 KB Output is correct
20 Correct 3 ms 3164 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 6 ms 4296 KB Output is correct
3 Correct 6 ms 4440 KB Output is correct
4 Correct 6 ms 4292 KB Output is correct
5 Correct 6 ms 4312 KB Output is correct
6 Correct 6 ms 4444 KB Output is correct
7 Correct 6 ms 4440 KB Output is correct
8 Correct 6 ms 4440 KB Output is correct
9 Correct 7 ms 4444 KB Output is correct
10 Correct 6 ms 4292 KB Output is correct
11 Correct 6 ms 4444 KB Output is correct
12 Correct 6 ms 4444 KB Output is correct
13 Correct 6 ms 4444 KB Output is correct
14 Correct 6 ms 4308 KB Output is correct
15 Correct 6 ms 4316 KB Output is correct
16 Correct 3 ms 3164 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 3164 KB Output is correct
19 Correct 3 ms 3164 KB Output is correct
20 Correct 3 ms 3164 KB Output is correct
21 Correct 220 ms 4208 KB Output is correct
22 Correct 211 ms 4396 KB Output is correct
23 Correct 191 ms 4280 KB Output is correct
24 Correct 208 ms 4436 KB Output is correct
25 Correct 212 ms 4432 KB Output is correct
26 Correct 420 ms 4456 KB Output is correct
27 Correct 430 ms 4272 KB Output is correct
28 Correct 421 ms 4340 KB Output is correct
29 Correct 413 ms 4416 KB Output is correct
30 Correct 11 ms 4444 KB Output is correct
31 Correct 7 ms 4444 KB Output is correct
32 Correct 7 ms 4444 KB Output is correct
33 Correct 7 ms 4296 KB Output is correct
34 Correct 7 ms 4340 KB Output is correct
35 Correct 7 ms 4444 KB Output is correct
36 Correct 7 ms 4408 KB Output is correct
37 Correct 7 ms 4444 KB Output is correct
38 Correct 8 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 952 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 992 KB Output is correct
6 Correct 4 ms 856 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 5 ms 860 KB Output is correct
9 Correct 5 ms 860 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 2 ms 956 KB Output is correct
12 Correct 2 ms 864 KB Output is correct
13 Correct 2 ms 872 KB Output is correct
14 Correct 3 ms 872 KB Output is correct
15 Correct 3 ms 984 KB Output is correct
16 Correct 2 ms 872 KB Output is correct
17 Correct 2 ms 972 KB Output is correct
18 Correct 2 ms 872 KB Output is correct
19 Correct 2 ms 968 KB Output is correct
20 Correct 2 ms 872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 6 ms 4296 KB Output is correct
3 Correct 6 ms 4440 KB Output is correct
4 Correct 6 ms 4292 KB Output is correct
5 Correct 6 ms 4312 KB Output is correct
6 Correct 6 ms 4444 KB Output is correct
7 Correct 6 ms 4440 KB Output is correct
8 Correct 6 ms 4440 KB Output is correct
9 Correct 7 ms 4444 KB Output is correct
10 Correct 6 ms 4292 KB Output is correct
11 Correct 6 ms 4444 KB Output is correct
12 Correct 6 ms 4444 KB Output is correct
13 Correct 6 ms 4444 KB Output is correct
14 Correct 6 ms 4308 KB Output is correct
15 Correct 6 ms 4316 KB Output is correct
16 Correct 3 ms 3164 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 3164 KB Output is correct
19 Correct 3 ms 3164 KB Output is correct
20 Correct 3 ms 3164 KB Output is correct
21 Correct 220 ms 4208 KB Output is correct
22 Correct 211 ms 4396 KB Output is correct
23 Correct 191 ms 4280 KB Output is correct
24 Correct 208 ms 4436 KB Output is correct
25 Correct 212 ms 4432 KB Output is correct
26 Correct 420 ms 4456 KB Output is correct
27 Correct 430 ms 4272 KB Output is correct
28 Correct 421 ms 4340 KB Output is correct
29 Correct 413 ms 4416 KB Output is correct
30 Correct 11 ms 4444 KB Output is correct
31 Correct 7 ms 4444 KB Output is correct
32 Correct 7 ms 4444 KB Output is correct
33 Correct 7 ms 4296 KB Output is correct
34 Correct 7 ms 4340 KB Output is correct
35 Correct 7 ms 4444 KB Output is correct
36 Correct 7 ms 4408 KB Output is correct
37 Correct 7 ms 4444 KB Output is correct
38 Correct 8 ms 4444 KB Output is correct
39 Correct 3 ms 860 KB Output is correct
40 Correct 2 ms 952 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 992 KB Output is correct
44 Correct 4 ms 856 KB Output is correct
45 Correct 4 ms 860 KB Output is correct
46 Correct 5 ms 860 KB Output is correct
47 Correct 5 ms 860 KB Output is correct
48 Correct 4 ms 860 KB Output is correct
49 Correct 2 ms 956 KB Output is correct
50 Correct 2 ms 864 KB Output is correct
51 Correct 2 ms 872 KB Output is correct
52 Correct 3 ms 872 KB Output is correct
53 Correct 3 ms 984 KB Output is correct
54 Correct 2 ms 872 KB Output is correct
55 Correct 2 ms 972 KB Output is correct
56 Correct 2 ms 872 KB Output is correct
57 Correct 2 ms 968 KB Output is correct
58 Correct 2 ms 872 KB Output is correct
59 Correct 238 ms 4348 KB Output is correct
60 Correct 234 ms 4284 KB Output is correct
61 Correct 207 ms 4432 KB Output is correct
62 Correct 239 ms 4432 KB Output is correct
63 Correct 230 ms 4352 KB Output is correct
64 Correct 477 ms 4536 KB Output is correct
65 Correct 480 ms 4692 KB Output is correct
66 Correct 478 ms 4436 KB Output is correct
67 Correct 478 ms 4616 KB Output is correct
68 Correct 480 ms 4228 KB Output is correct
69 Correct 194 ms 4448 KB Output is correct
70 Correct 191 ms 4436 KB Output is correct
71 Correct 190 ms 4436 KB Output is correct
72 Correct 201 ms 4448 KB Output is correct
73 Correct 204 ms 4440 KB Output is correct
74 Correct 49 ms 3152 KB Output is correct
75 Correct 47 ms 3156 KB Output is correct
76 Correct 51 ms 3152 KB Output is correct
77 Correct 50 ms 3156 KB Output is correct
78 Correct 52 ms 3040 KB Output is correct