답안 #48617

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
48617 2018-05-17T11:35:48 Z nobik Boat (APIO16_boat) C++14
58 / 100
2000 ms 5216 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 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);
	}
	for (int i = 0; i <= n; ++i) REP(w, m) {
		int len = d[w+1]-d[w];
		int first = len;
		int second = 1;
		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*second % mod);
			second = 1LL*second*(i-j) % mod;
			second = 1LL*second*iv[j+1] % 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';
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1880 ms 4552 KB Output is correct
2 Correct 1879 ms 4552 KB Output is correct
3 Correct 1904 ms 4552 KB Output is correct
4 Correct 1820 ms 4552 KB Output is correct
5 Correct 1875 ms 4676 KB Output is correct
6 Correct 1889 ms 4740 KB Output is correct
7 Correct 1834 ms 4740 KB Output is correct
8 Correct 1884 ms 4820 KB Output is correct
9 Correct 1831 ms 4820 KB Output is correct
10 Correct 1871 ms 4820 KB Output is correct
11 Correct 1889 ms 4820 KB Output is correct
12 Correct 1936 ms 4820 KB Output is correct
13 Correct 1875 ms 4820 KB Output is correct
14 Correct 1868 ms 4820 KB Output is correct
15 Correct 1867 ms 4820 KB Output is correct
16 Correct 349 ms 4820 KB Output is correct
17 Correct 351 ms 4820 KB Output is correct
18 Correct 342 ms 4908 KB Output is correct
19 Correct 385 ms 4908 KB Output is correct
20 Correct 340 ms 4908 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1880 ms 4552 KB Output is correct
2 Correct 1879 ms 4552 KB Output is correct
3 Correct 1904 ms 4552 KB Output is correct
4 Correct 1820 ms 4552 KB Output is correct
5 Correct 1875 ms 4676 KB Output is correct
6 Correct 1889 ms 4740 KB Output is correct
7 Correct 1834 ms 4740 KB Output is correct
8 Correct 1884 ms 4820 KB Output is correct
9 Correct 1831 ms 4820 KB Output is correct
10 Correct 1871 ms 4820 KB Output is correct
11 Correct 1889 ms 4820 KB Output is correct
12 Correct 1936 ms 4820 KB Output is correct
13 Correct 1875 ms 4820 KB Output is correct
14 Correct 1868 ms 4820 KB Output is correct
15 Correct 1867 ms 4820 KB Output is correct
16 Correct 349 ms 4820 KB Output is correct
17 Correct 351 ms 4820 KB Output is correct
18 Correct 342 ms 4908 KB Output is correct
19 Correct 385 ms 4908 KB Output is correct
20 Correct 340 ms 4908 KB Output is correct
21 Correct 1887 ms 4908 KB Output is correct
22 Correct 1956 ms 4908 KB Output is correct
23 Correct 1962 ms 4908 KB Output is correct
24 Correct 1843 ms 4908 KB Output is correct
25 Correct 1826 ms 4908 KB Output is correct
26 Correct 1931 ms 5004 KB Output is correct
27 Correct 1972 ms 5004 KB Output is correct
28 Correct 1842 ms 5004 KB Output is correct
29 Correct 1828 ms 5212 KB Output is correct
30 Correct 1794 ms 5212 KB Output is correct
31 Correct 1788 ms 5212 KB Output is correct
32 Correct 1859 ms 5212 KB Output is correct
33 Correct 1822 ms 5212 KB Output is correct
34 Correct 1786 ms 5212 KB Output is correct
35 Correct 1815 ms 5216 KB Output is correct
36 Correct 1817 ms 5216 KB Output is correct
37 Correct 1809 ms 5216 KB Output is correct
38 Correct 1889 ms 5216 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 5216 KB Output is correct
2 Correct 18 ms 5216 KB Output is correct
3 Correct 19 ms 5216 KB Output is correct
4 Correct 19 ms 5216 KB Output is correct
5 Correct 27 ms 5216 KB Output is correct
6 Correct 21 ms 5216 KB Output is correct
7 Correct 20 ms 5216 KB Output is correct
8 Correct 20 ms 5216 KB Output is correct
9 Correct 21 ms 5216 KB Output is correct
10 Correct 21 ms 5216 KB Output is correct
11 Correct 20 ms 5216 KB Output is correct
12 Correct 19 ms 5216 KB Output is correct
13 Correct 22 ms 5216 KB Output is correct
14 Correct 19 ms 5216 KB Output is correct
15 Correct 19 ms 5216 KB Output is correct
16 Correct 13 ms 5216 KB Output is correct
17 Correct 12 ms 5216 KB Output is correct
18 Correct 17 ms 5216 KB Output is correct
19 Correct 13 ms 5216 KB Output is correct
20 Correct 12 ms 5216 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1880 ms 4552 KB Output is correct
2 Correct 1879 ms 4552 KB Output is correct
3 Correct 1904 ms 4552 KB Output is correct
4 Correct 1820 ms 4552 KB Output is correct
5 Correct 1875 ms 4676 KB Output is correct
6 Correct 1889 ms 4740 KB Output is correct
7 Correct 1834 ms 4740 KB Output is correct
8 Correct 1884 ms 4820 KB Output is correct
9 Correct 1831 ms 4820 KB Output is correct
10 Correct 1871 ms 4820 KB Output is correct
11 Correct 1889 ms 4820 KB Output is correct
12 Correct 1936 ms 4820 KB Output is correct
13 Correct 1875 ms 4820 KB Output is correct
14 Correct 1868 ms 4820 KB Output is correct
15 Correct 1867 ms 4820 KB Output is correct
16 Correct 349 ms 4820 KB Output is correct
17 Correct 351 ms 4820 KB Output is correct
18 Correct 342 ms 4908 KB Output is correct
19 Correct 385 ms 4908 KB Output is correct
20 Correct 340 ms 4908 KB Output is correct
21 Correct 1887 ms 4908 KB Output is correct
22 Correct 1956 ms 4908 KB Output is correct
23 Correct 1962 ms 4908 KB Output is correct
24 Correct 1843 ms 4908 KB Output is correct
25 Correct 1826 ms 4908 KB Output is correct
26 Correct 1931 ms 5004 KB Output is correct
27 Correct 1972 ms 5004 KB Output is correct
28 Correct 1842 ms 5004 KB Output is correct
29 Correct 1828 ms 5212 KB Output is correct
30 Correct 1794 ms 5212 KB Output is correct
31 Correct 1788 ms 5212 KB Output is correct
32 Correct 1859 ms 5212 KB Output is correct
33 Correct 1822 ms 5212 KB Output is correct
34 Correct 1786 ms 5212 KB Output is correct
35 Correct 1815 ms 5216 KB Output is correct
36 Correct 1817 ms 5216 KB Output is correct
37 Correct 1809 ms 5216 KB Output is correct
38 Correct 1889 ms 5216 KB Output is correct
39 Correct 19 ms 5216 KB Output is correct
40 Correct 18 ms 5216 KB Output is correct
41 Correct 19 ms 5216 KB Output is correct
42 Correct 19 ms 5216 KB Output is correct
43 Correct 27 ms 5216 KB Output is correct
44 Correct 21 ms 5216 KB Output is correct
45 Correct 20 ms 5216 KB Output is correct
46 Correct 20 ms 5216 KB Output is correct
47 Correct 21 ms 5216 KB Output is correct
48 Correct 21 ms 5216 KB Output is correct
49 Correct 20 ms 5216 KB Output is correct
50 Correct 19 ms 5216 KB Output is correct
51 Correct 22 ms 5216 KB Output is correct
52 Correct 19 ms 5216 KB Output is correct
53 Correct 19 ms 5216 KB Output is correct
54 Correct 13 ms 5216 KB Output is correct
55 Correct 12 ms 5216 KB Output is correct
56 Correct 17 ms 5216 KB Output is correct
57 Correct 13 ms 5216 KB Output is correct
58 Correct 12 ms 5216 KB Output is correct
59 Execution timed out 2029 ms 5216 KB Time limit exceeded
60 Halted 0 ms 0 KB -