Submission #158302

# Submission time Handle Problem Language Result Execution time Memory
158302 2019-10-16T08:09:55 Z maruii Boat (APIO16_boat) C++14
100 / 100
771 ms 4588 KB
#include <bits/stdc++.h>
using namespace std;

const int mod = 1e9 + 7;
vector<int> xx(1);
int f[505][1005], s[1005], g[1005][505], A[505], B[505], inv[1005];

int mp(int x, int r) {
	int ret = 1;
	while (r) {
		if (r & 1) ret = 1ll * ret * x % mod;
		x = 1ll * x * x % mod;
		r >>= 1;
	}
	return ret;
}

int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	int N; cin >> N;
	for (int i = 1; i <= N; ++i) {
		cin >> A[i] >> B[i]; B[i]++;
		xx.push_back(A[i]);
		xx.push_back(B[i]);
	}
	sort(xx.begin(), xx.end());
	xx.erase(unique(xx.begin(), xx.end()), xx.end());
	for (int i = 1; i <= N; ++i) inv[i] = mp(i, mod - 2);
	for (int i = 1; i + 1 < xx.size(); ++i) g[i][0] = 1;
	int ans = 0;
	for (int i = 1; i <= N; ++i) {
		f[i][0] = 1;
		for (int j = 1; j + 1 < xx.size(); ++j) {
			if (A[i] <= xx[j] && xx[j + 1] <= B[i]) {
				long long n = xx[j + 1] - xx[j];
				for (int k = i; k; --k) g[j][k] = (g[j][k] + g[j][k - 1] * (n + 1 - k) % mod * inv[k] % mod) % mod;
				for (int k = 1; k <= i; ++k) f[i][j] = (f[i][j] + g[j][k]) % mod;
			}
			else {
				f[i][j] = f[i - 1][j];
			}
			g[j][0] = (g[j - 1][0] + f[i][j - 1]) % mod;
		}
	}
	for (int i = 1; i + 1 < xx.size(); ++i) ans = (ans + f[N][i]) % mod;
	cout << ans;
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:29:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i + 1 < xx.size(); ++i) g[i][0] = 1;
                  ~~~~~~^~~~~~~~~~~
boat.cpp:33:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 1; j + 1 < xx.size(); ++j) {
                   ~~~~~~^~~~~~~~~~~
boat.cpp:45:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i + 1 < xx.size(); ++i) ans = (ans + f[N][i]) % mod;
                  ~~~~~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4344 KB Output is correct
2 Correct 10 ms 4344 KB Output is correct
3 Correct 11 ms 4344 KB Output is correct
4 Correct 11 ms 4344 KB Output is correct
5 Correct 10 ms 4348 KB Output is correct
6 Correct 10 ms 4344 KB Output is correct
7 Correct 10 ms 4344 KB Output is correct
8 Correct 10 ms 4344 KB Output is correct
9 Correct 10 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 10 ms 4344 KB Output is correct
12 Correct 10 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 10 ms 4344 KB Output is correct
15 Correct 10 ms 4344 KB Output is correct
16 Correct 6 ms 2680 KB Output is correct
17 Correct 6 ms 2680 KB Output is correct
18 Correct 6 ms 2680 KB Output is correct
19 Correct 6 ms 2680 KB Output is correct
20 Correct 6 ms 2680 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4344 KB Output is correct
2 Correct 10 ms 4344 KB Output is correct
3 Correct 11 ms 4344 KB Output is correct
4 Correct 11 ms 4344 KB Output is correct
5 Correct 10 ms 4348 KB Output is correct
6 Correct 10 ms 4344 KB Output is correct
7 Correct 10 ms 4344 KB Output is correct
8 Correct 10 ms 4344 KB Output is correct
9 Correct 10 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 10 ms 4344 KB Output is correct
12 Correct 10 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 10 ms 4344 KB Output is correct
15 Correct 10 ms 4344 KB Output is correct
16 Correct 6 ms 2680 KB Output is correct
17 Correct 6 ms 2680 KB Output is correct
18 Correct 6 ms 2680 KB Output is correct
19 Correct 6 ms 2680 KB Output is correct
20 Correct 6 ms 2680 KB Output is correct
21 Correct 497 ms 4212 KB Output is correct
22 Correct 477 ms 4216 KB Output is correct
23 Correct 445 ms 4180 KB Output is correct
24 Correct 475 ms 4096 KB Output is correct
25 Correct 474 ms 4176 KB Output is correct
26 Correct 676 ms 4088 KB Output is correct
27 Correct 695 ms 4300 KB Output is correct
28 Correct 671 ms 4232 KB Output is correct
29 Correct 665 ms 4168 KB Output is correct
30 Correct 14 ms 4344 KB Output is correct
31 Correct 14 ms 4344 KB Output is correct
32 Correct 14 ms 4332 KB Output is correct
33 Correct 14 ms 4344 KB Output is correct
34 Correct 13 ms 4344 KB Output is correct
35 Correct 14 ms 4344 KB Output is correct
36 Correct 13 ms 4348 KB Output is correct
37 Correct 14 ms 4344 KB Output is correct
38 Correct 14 ms 4344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 1144 KB Output is correct
2 Correct 6 ms 1144 KB Output is correct
3 Correct 6 ms 1144 KB Output is correct
4 Correct 7 ms 1144 KB Output is correct
5 Correct 7 ms 1144 KB Output is correct
6 Correct 9 ms 1148 KB Output is correct
7 Correct 9 ms 1144 KB Output is correct
8 Correct 9 ms 1144 KB Output is correct
9 Correct 9 ms 1144 KB Output is correct
10 Correct 9 ms 1148 KB Output is correct
11 Correct 7 ms 1272 KB Output is correct
12 Correct 6 ms 1148 KB Output is correct
13 Correct 6 ms 1144 KB Output is correct
14 Correct 6 ms 1144 KB Output is correct
15 Correct 7 ms 1148 KB Output is correct
16 Correct 5 ms 1016 KB Output is correct
17 Correct 5 ms 1016 KB Output is correct
18 Correct 5 ms 1016 KB Output is correct
19 Correct 5 ms 1016 KB Output is correct
20 Correct 5 ms 888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4344 KB Output is correct
2 Correct 10 ms 4344 KB Output is correct
3 Correct 11 ms 4344 KB Output is correct
4 Correct 11 ms 4344 KB Output is correct
5 Correct 10 ms 4348 KB Output is correct
6 Correct 10 ms 4344 KB Output is correct
7 Correct 10 ms 4344 KB Output is correct
8 Correct 10 ms 4344 KB Output is correct
9 Correct 10 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 10 ms 4344 KB Output is correct
12 Correct 10 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 10 ms 4344 KB Output is correct
15 Correct 10 ms 4344 KB Output is correct
16 Correct 6 ms 2680 KB Output is correct
17 Correct 6 ms 2680 KB Output is correct
18 Correct 6 ms 2680 KB Output is correct
19 Correct 6 ms 2680 KB Output is correct
20 Correct 6 ms 2680 KB Output is correct
21 Correct 497 ms 4212 KB Output is correct
22 Correct 477 ms 4216 KB Output is correct
23 Correct 445 ms 4180 KB Output is correct
24 Correct 475 ms 4096 KB Output is correct
25 Correct 474 ms 4176 KB Output is correct
26 Correct 676 ms 4088 KB Output is correct
27 Correct 695 ms 4300 KB Output is correct
28 Correct 671 ms 4232 KB Output is correct
29 Correct 665 ms 4168 KB Output is correct
30 Correct 14 ms 4344 KB Output is correct
31 Correct 14 ms 4344 KB Output is correct
32 Correct 14 ms 4332 KB Output is correct
33 Correct 14 ms 4344 KB Output is correct
34 Correct 13 ms 4344 KB Output is correct
35 Correct 14 ms 4344 KB Output is correct
36 Correct 13 ms 4348 KB Output is correct
37 Correct 14 ms 4344 KB Output is correct
38 Correct 14 ms 4344 KB Output is correct
39 Correct 9 ms 1144 KB Output is correct
40 Correct 6 ms 1144 KB Output is correct
41 Correct 6 ms 1144 KB Output is correct
42 Correct 7 ms 1144 KB Output is correct
43 Correct 7 ms 1144 KB Output is correct
44 Correct 9 ms 1148 KB Output is correct
45 Correct 9 ms 1144 KB Output is correct
46 Correct 9 ms 1144 KB Output is correct
47 Correct 9 ms 1144 KB Output is correct
48 Correct 9 ms 1148 KB Output is correct
49 Correct 7 ms 1272 KB Output is correct
50 Correct 6 ms 1148 KB Output is correct
51 Correct 6 ms 1144 KB Output is correct
52 Correct 6 ms 1144 KB Output is correct
53 Correct 7 ms 1148 KB Output is correct
54 Correct 5 ms 1016 KB Output is correct
55 Correct 5 ms 1016 KB Output is correct
56 Correct 5 ms 1016 KB Output is correct
57 Correct 5 ms 1016 KB Output is correct
58 Correct 5 ms 888 KB Output is correct
59 Correct 531 ms 4356 KB Output is correct
60 Correct 508 ms 4304 KB Output is correct
61 Correct 479 ms 4392 KB Output is correct
62 Correct 527 ms 4540 KB Output is correct
63 Correct 520 ms 4360 KB Output is correct
64 Correct 769 ms 4276 KB Output is correct
65 Correct 771 ms 4424 KB Output is correct
66 Correct 768 ms 4472 KB Output is correct
67 Correct 768 ms 4588 KB Output is correct
68 Correct 767 ms 4392 KB Output is correct
69 Correct 409 ms 4356 KB Output is correct
70 Correct 399 ms 4344 KB Output is correct
71 Correct 395 ms 4444 KB Output is correct
72 Correct 413 ms 4424 KB Output is correct
73 Correct 423 ms 4344 KB Output is correct
74 Correct 106 ms 2680 KB Output is correct
75 Correct 101 ms 2680 KB Output is correct
76 Correct 105 ms 2660 KB Output is correct
77 Correct 105 ms 2780 KB Output is correct
78 Correct 107 ms 2652 KB Output is correct