Submission #48618

# Submission time Handle Problem Language Result Execution time Memory
48618 2018-05-17T11:39:39 Z nobik Boat (APIO16_boat) C++14
58 / 100
2000 ms 8852 KB
#include <bits/stdc++.h>
using namespace std;

#define REP(i, n) for (int i = 0; i < (n); ++i)
#define SIZE(a) ((int)(a).size())
#define ALL(a) (a).begin(), (a).end()

using ll = long long;
using K = long double;

const int inf = 1000*1000*1000 + 7;
const int mod = 1000*1000*1000 + 7;
const int N = 1005;

int power(int a, int n) {
	int result = 1;
	while (n > 0) {
		if (n % 2) {
			result = (1LL*result*a) % mod;
		}
		a = (1LL*a*a) % mod;
		n /= 2;
	}
	return result;
}

int inv(int a) {
	return power(a, mod-2);
}

void add(int &x, int y) {
	x += y;
	if (x >= mod) x -= mod;
}

int n, m, l[N], r[N];
vector<int> d;
int f[N][N], g[N][N];

int inside(int id, int piece) {
	return l[id] <= d[piece] && r[id] >= d[piece+1];
}

int iv[N];
int c[N][N];

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	cin >> n;
	REP(i, n) {
		cin >> l[i] >> r[i];
		++r[i];
		d.push_back(l[i]);
		d.push_back(r[i]);
	}
	sort(d.begin(), d.end());
	d.erase(unique(d.begin(), d.end()), d.end());
	m = SIZE(d)-1;
	f[0][0] = 1;
	for (int i = 1; i <= n; ++i) {
		iv[i] = inv(i);
	}
	REP(i, N) {
		c[i][0] = c[i][i] = 1;
		for (int j = 1; j < i; ++j) {
			add(c[i][j], c[i-1][j-1]);
			add(c[i][j], c[i-1][j]);
		}
	}
	for (int i = 0; i <= n; ++i) REP(w, m) {
		int len = d[w+1]-d[w];
		int first = len;
		for (int j = 0; j <= i; ++j) {
			first = 1LL*first*(len-j-1) % mod;
			first = 1LL*first*iv[j+2] % mod;
			add(g[i][w], 1LL*first*c[i][j] % mod);
		}
	}
	REP(i, n) {
		REP(j, m+1) add(f[i+1][j], f[i][j]);
		REP(j, m) {
			add(f[i][j+1], f[i][j]);
			if (!inside(i, j)) continue;
			add(f[i+1][j+1], 1LL*f[i][j]*(d[j+1]-d[j]) % mod);
			int cnt = -1;
			for (int nxt = i+1; nxt < n; ++nxt) {
				if (!inside(nxt, j)) continue;
				++cnt;
				add(f[nxt+1][j+1], 1LL*f[i][j]*g[cnt][j] % mod);
			}
		}
	}
	int result = mod-1;
	REP(i, m+1) add(result, f[n][i]);
	cout << result << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 1791 ms 8448 KB Output is correct
2 Correct 1741 ms 8448 KB Output is correct
3 Correct 1785 ms 8448 KB Output is correct
4 Correct 1753 ms 8556 KB Output is correct
5 Correct 1712 ms 8556 KB Output is correct
6 Correct 1769 ms 8580 KB Output is correct
7 Correct 1746 ms 8580 KB Output is correct
8 Correct 1755 ms 8580 KB Output is correct
9 Correct 1770 ms 8608 KB Output is correct
10 Correct 1774 ms 8624 KB Output is correct
11 Correct 1726 ms 8624 KB Output is correct
12 Correct 1747 ms 8624 KB Output is correct
13 Correct 1759 ms 8624 KB Output is correct
14 Correct 1770 ms 8624 KB Output is correct
15 Correct 1780 ms 8624 KB Output is correct
16 Correct 310 ms 8624 KB Output is correct
17 Correct 335 ms 8624 KB Output is correct
18 Correct 325 ms 8624 KB Output is correct
19 Correct 333 ms 8624 KB Output is correct
20 Correct 354 ms 8624 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1791 ms 8448 KB Output is correct
2 Correct 1741 ms 8448 KB Output is correct
3 Correct 1785 ms 8448 KB Output is correct
4 Correct 1753 ms 8556 KB Output is correct
5 Correct 1712 ms 8556 KB Output is correct
6 Correct 1769 ms 8580 KB Output is correct
7 Correct 1746 ms 8580 KB Output is correct
8 Correct 1755 ms 8580 KB Output is correct
9 Correct 1770 ms 8608 KB Output is correct
10 Correct 1774 ms 8624 KB Output is correct
11 Correct 1726 ms 8624 KB Output is correct
12 Correct 1747 ms 8624 KB Output is correct
13 Correct 1759 ms 8624 KB Output is correct
14 Correct 1770 ms 8624 KB Output is correct
15 Correct 1780 ms 8624 KB Output is correct
16 Correct 310 ms 8624 KB Output is correct
17 Correct 335 ms 8624 KB Output is correct
18 Correct 325 ms 8624 KB Output is correct
19 Correct 333 ms 8624 KB Output is correct
20 Correct 354 ms 8624 KB Output is correct
21 Correct 1697 ms 8728 KB Output is correct
22 Correct 1734 ms 8728 KB Output is correct
23 Correct 1724 ms 8728 KB Output is correct
24 Correct 1752 ms 8728 KB Output is correct
25 Correct 1722 ms 8728 KB Output is correct
26 Correct 1759 ms 8828 KB Output is correct
27 Correct 1792 ms 8828 KB Output is correct
28 Correct 1747 ms 8828 KB Output is correct
29 Correct 1785 ms 8828 KB Output is correct
30 Correct 1726 ms 8828 KB Output is correct
31 Correct 1715 ms 8828 KB Output is correct
32 Correct 1699 ms 8828 KB Output is correct
33 Correct 1776 ms 8828 KB Output is correct
34 Correct 1749 ms 8828 KB Output is correct
35 Correct 1759 ms 8828 KB Output is correct
36 Correct 1756 ms 8828 KB Output is correct
37 Correct 1789 ms 8828 KB Output is correct
38 Correct 1762 ms 8828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 8828 KB Output is correct
2 Correct 21 ms 8828 KB Output is correct
3 Correct 22 ms 8828 KB Output is correct
4 Correct 21 ms 8828 KB Output is correct
5 Correct 21 ms 8828 KB Output is correct
6 Correct 22 ms 8828 KB Output is correct
7 Correct 22 ms 8828 KB Output is correct
8 Correct 22 ms 8828 KB Output is correct
9 Correct 44 ms 8828 KB Output is correct
10 Correct 23 ms 8828 KB Output is correct
11 Correct 22 ms 8828 KB Output is correct
12 Correct 22 ms 8828 KB Output is correct
13 Correct 23 ms 8828 KB Output is correct
14 Correct 22 ms 8828 KB Output is correct
15 Correct 21 ms 8828 KB Output is correct
16 Correct 18 ms 8828 KB Output is correct
17 Correct 17 ms 8828 KB Output is correct
18 Correct 16 ms 8828 KB Output is correct
19 Correct 15 ms 8828 KB Output is correct
20 Correct 14 ms 8828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1791 ms 8448 KB Output is correct
2 Correct 1741 ms 8448 KB Output is correct
3 Correct 1785 ms 8448 KB Output is correct
4 Correct 1753 ms 8556 KB Output is correct
5 Correct 1712 ms 8556 KB Output is correct
6 Correct 1769 ms 8580 KB Output is correct
7 Correct 1746 ms 8580 KB Output is correct
8 Correct 1755 ms 8580 KB Output is correct
9 Correct 1770 ms 8608 KB Output is correct
10 Correct 1774 ms 8624 KB Output is correct
11 Correct 1726 ms 8624 KB Output is correct
12 Correct 1747 ms 8624 KB Output is correct
13 Correct 1759 ms 8624 KB Output is correct
14 Correct 1770 ms 8624 KB Output is correct
15 Correct 1780 ms 8624 KB Output is correct
16 Correct 310 ms 8624 KB Output is correct
17 Correct 335 ms 8624 KB Output is correct
18 Correct 325 ms 8624 KB Output is correct
19 Correct 333 ms 8624 KB Output is correct
20 Correct 354 ms 8624 KB Output is correct
21 Correct 1697 ms 8728 KB Output is correct
22 Correct 1734 ms 8728 KB Output is correct
23 Correct 1724 ms 8728 KB Output is correct
24 Correct 1752 ms 8728 KB Output is correct
25 Correct 1722 ms 8728 KB Output is correct
26 Correct 1759 ms 8828 KB Output is correct
27 Correct 1792 ms 8828 KB Output is correct
28 Correct 1747 ms 8828 KB Output is correct
29 Correct 1785 ms 8828 KB Output is correct
30 Correct 1726 ms 8828 KB Output is correct
31 Correct 1715 ms 8828 KB Output is correct
32 Correct 1699 ms 8828 KB Output is correct
33 Correct 1776 ms 8828 KB Output is correct
34 Correct 1749 ms 8828 KB Output is correct
35 Correct 1759 ms 8828 KB Output is correct
36 Correct 1756 ms 8828 KB Output is correct
37 Correct 1789 ms 8828 KB Output is correct
38 Correct 1762 ms 8828 KB Output is correct
39 Correct 22 ms 8828 KB Output is correct
40 Correct 21 ms 8828 KB Output is correct
41 Correct 22 ms 8828 KB Output is correct
42 Correct 21 ms 8828 KB Output is correct
43 Correct 21 ms 8828 KB Output is correct
44 Correct 22 ms 8828 KB Output is correct
45 Correct 22 ms 8828 KB Output is correct
46 Correct 22 ms 8828 KB Output is correct
47 Correct 44 ms 8828 KB Output is correct
48 Correct 23 ms 8828 KB Output is correct
49 Correct 22 ms 8828 KB Output is correct
50 Correct 22 ms 8828 KB Output is correct
51 Correct 23 ms 8828 KB Output is correct
52 Correct 22 ms 8828 KB Output is correct
53 Correct 21 ms 8828 KB Output is correct
54 Correct 18 ms 8828 KB Output is correct
55 Correct 17 ms 8828 KB Output is correct
56 Correct 16 ms 8828 KB Output is correct
57 Correct 15 ms 8828 KB Output is correct
58 Correct 14 ms 8828 KB Output is correct
59 Correct 1899 ms 8828 KB Output is correct
60 Correct 1920 ms 8828 KB Output is correct
61 Correct 1833 ms 8828 KB Output is correct
62 Correct 1861 ms 8852 KB Output is correct
63 Correct 1881 ms 8852 KB Output is correct
64 Execution timed out 2052 ms 8852 KB Time limit exceeded
65 Halted 0 ms 0 KB -