답안 #48642

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
48642 2018-05-17T14:49:43 Z nobik Boat (APIO16_boat) C++14
58 / 100
2000 ms 8832 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*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';
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1700 ms 8312 KB Output is correct
2 Correct 1803 ms 8372 KB Output is correct
3 Correct 1770 ms 8508 KB Output is correct
4 Correct 1729 ms 8532 KB Output is correct
5 Correct 1769 ms 8552 KB Output is correct
6 Correct 1796 ms 8720 KB Output is correct
7 Correct 1794 ms 8720 KB Output is correct
8 Correct 1808 ms 8720 KB Output is correct
9 Correct 1817 ms 8720 KB Output is correct
10 Correct 1768 ms 8720 KB Output is correct
11 Correct 1787 ms 8720 KB Output is correct
12 Correct 1800 ms 8720 KB Output is correct
13 Correct 1755 ms 8720 KB Output is correct
14 Correct 1797 ms 8720 KB Output is correct
15 Correct 1826 ms 8720 KB Output is correct
16 Correct 333 ms 8720 KB Output is correct
17 Correct 339 ms 8720 KB Output is correct
18 Correct 323 ms 8720 KB Output is correct
19 Correct 339 ms 8720 KB Output is correct
20 Correct 328 ms 8720 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1700 ms 8312 KB Output is correct
2 Correct 1803 ms 8372 KB Output is correct
3 Correct 1770 ms 8508 KB Output is correct
4 Correct 1729 ms 8532 KB Output is correct
5 Correct 1769 ms 8552 KB Output is correct
6 Correct 1796 ms 8720 KB Output is correct
7 Correct 1794 ms 8720 KB Output is correct
8 Correct 1808 ms 8720 KB Output is correct
9 Correct 1817 ms 8720 KB Output is correct
10 Correct 1768 ms 8720 KB Output is correct
11 Correct 1787 ms 8720 KB Output is correct
12 Correct 1800 ms 8720 KB Output is correct
13 Correct 1755 ms 8720 KB Output is correct
14 Correct 1797 ms 8720 KB Output is correct
15 Correct 1826 ms 8720 KB Output is correct
16 Correct 333 ms 8720 KB Output is correct
17 Correct 339 ms 8720 KB Output is correct
18 Correct 323 ms 8720 KB Output is correct
19 Correct 339 ms 8720 KB Output is correct
20 Correct 328 ms 8720 KB Output is correct
21 Correct 1803 ms 8736 KB Output is correct
22 Correct 1816 ms 8736 KB Output is correct
23 Correct 1759 ms 8736 KB Output is correct
24 Correct 1744 ms 8736 KB Output is correct
25 Correct 1742 ms 8736 KB Output is correct
26 Correct 1852 ms 8736 KB Output is correct
27 Correct 1865 ms 8736 KB Output is correct
28 Correct 1828 ms 8736 KB Output is correct
29 Correct 1810 ms 8736 KB Output is correct
30 Correct 1794 ms 8736 KB Output is correct
31 Correct 1735 ms 8736 KB Output is correct
32 Correct 1740 ms 8736 KB Output is correct
33 Correct 1845 ms 8736 KB Output is correct
34 Correct 1751 ms 8736 KB Output is correct
35 Correct 1792 ms 8832 KB Output is correct
36 Correct 1750 ms 8832 KB Output is correct
37 Correct 1753 ms 8832 KB Output is correct
38 Correct 1764 ms 8832 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 8832 KB Output is correct
2 Correct 21 ms 8832 KB Output is correct
3 Correct 22 ms 8832 KB Output is correct
4 Correct 23 ms 8832 KB Output is correct
5 Correct 30 ms 8832 KB Output is correct
6 Correct 23 ms 8832 KB Output is correct
7 Correct 23 ms 8832 KB Output is correct
8 Correct 23 ms 8832 KB Output is correct
9 Correct 26 ms 8832 KB Output is correct
10 Correct 23 ms 8832 KB Output is correct
11 Correct 22 ms 8832 KB Output is correct
12 Correct 22 ms 8832 KB Output is correct
13 Correct 22 ms 8832 KB Output is correct
14 Correct 22 ms 8832 KB Output is correct
15 Correct 22 ms 8832 KB Output is correct
16 Correct 18 ms 8832 KB Output is correct
17 Correct 15 ms 8832 KB Output is correct
18 Correct 15 ms 8832 KB Output is correct
19 Correct 16 ms 8832 KB Output is correct
20 Correct 19 ms 8832 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1700 ms 8312 KB Output is correct
2 Correct 1803 ms 8372 KB Output is correct
3 Correct 1770 ms 8508 KB Output is correct
4 Correct 1729 ms 8532 KB Output is correct
5 Correct 1769 ms 8552 KB Output is correct
6 Correct 1796 ms 8720 KB Output is correct
7 Correct 1794 ms 8720 KB Output is correct
8 Correct 1808 ms 8720 KB Output is correct
9 Correct 1817 ms 8720 KB Output is correct
10 Correct 1768 ms 8720 KB Output is correct
11 Correct 1787 ms 8720 KB Output is correct
12 Correct 1800 ms 8720 KB Output is correct
13 Correct 1755 ms 8720 KB Output is correct
14 Correct 1797 ms 8720 KB Output is correct
15 Correct 1826 ms 8720 KB Output is correct
16 Correct 333 ms 8720 KB Output is correct
17 Correct 339 ms 8720 KB Output is correct
18 Correct 323 ms 8720 KB Output is correct
19 Correct 339 ms 8720 KB Output is correct
20 Correct 328 ms 8720 KB Output is correct
21 Correct 1803 ms 8736 KB Output is correct
22 Correct 1816 ms 8736 KB Output is correct
23 Correct 1759 ms 8736 KB Output is correct
24 Correct 1744 ms 8736 KB Output is correct
25 Correct 1742 ms 8736 KB Output is correct
26 Correct 1852 ms 8736 KB Output is correct
27 Correct 1865 ms 8736 KB Output is correct
28 Correct 1828 ms 8736 KB Output is correct
29 Correct 1810 ms 8736 KB Output is correct
30 Correct 1794 ms 8736 KB Output is correct
31 Correct 1735 ms 8736 KB Output is correct
32 Correct 1740 ms 8736 KB Output is correct
33 Correct 1845 ms 8736 KB Output is correct
34 Correct 1751 ms 8736 KB Output is correct
35 Correct 1792 ms 8832 KB Output is correct
36 Correct 1750 ms 8832 KB Output is correct
37 Correct 1753 ms 8832 KB Output is correct
38 Correct 1764 ms 8832 KB Output is correct
39 Correct 23 ms 8832 KB Output is correct
40 Correct 21 ms 8832 KB Output is correct
41 Correct 22 ms 8832 KB Output is correct
42 Correct 23 ms 8832 KB Output is correct
43 Correct 30 ms 8832 KB Output is correct
44 Correct 23 ms 8832 KB Output is correct
45 Correct 23 ms 8832 KB Output is correct
46 Correct 23 ms 8832 KB Output is correct
47 Correct 26 ms 8832 KB Output is correct
48 Correct 23 ms 8832 KB Output is correct
49 Correct 22 ms 8832 KB Output is correct
50 Correct 22 ms 8832 KB Output is correct
51 Correct 22 ms 8832 KB Output is correct
52 Correct 22 ms 8832 KB Output is correct
53 Correct 22 ms 8832 KB Output is correct
54 Correct 18 ms 8832 KB Output is correct
55 Correct 15 ms 8832 KB Output is correct
56 Correct 15 ms 8832 KB Output is correct
57 Correct 16 ms 8832 KB Output is correct
58 Correct 19 ms 8832 KB Output is correct
59 Correct 1876 ms 8832 KB Output is correct
60 Correct 1877 ms 8832 KB Output is correct
61 Correct 1832 ms 8832 KB Output is correct
62 Correct 1891 ms 8832 KB Output is correct
63 Correct 1852 ms 8832 KB Output is correct
64 Execution timed out 2065 ms 8832 KB Time limit exceeded
65 Halted 0 ms 0 KB -