답안 #34899

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
34899 2017-11-16T16:33:38 Z cheater2k Boat (APIO16_boat) C++14
100 / 100
536 ms 5240 KB
#include <bits/stdc++.h>
using namespace std;

const int N = 510;
const int md = 1e9 + 7;

int n;
int a[N], b[N];
vector<int> z;
int len[N * 2], sz;
int clen[N * 2][N], c[N][N];
int f[N], sum[N], g[N];

int pw(int a, int b) {
	int res = 1;
	while(b) {
		if (b & 1) res = 1LL * res * a % md; 
		a = 1LL * a * a % md;
		b >>= 1;
	}
	return res;
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	cin >> n;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i] >> b[i]; ++b[i];
		z.push_back(a[i]); z.push_back(b[i]);
	}
	sort(z.begin(), z.end());
	z.resize(distance(z.begin(), unique(z.begin(), z.end())));

	for (int i = 0; i < (int)z.size() - 1; ++i) {
		len[++sz] = z[i + 1] - z[i];
		clen[sz][0] = 1;
		for (int j = 1; j <= n; ++j) {
			if (j > len[sz]) continue;
			clen[sz][j] = 1LL * clen[sz][j-1] * (len[sz] - j + 1) % md;
			clen[sz][j] = 1LL * clen[sz][j] * pw(j, md - 2) % md;
		}
	}

	for (int i = 0; i <= n; ++i) c[i][0] = 1;
	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j <= i; ++j) c[i][j] = (c[i-1][j-1] + c[i-1][j]) % md;
	}

	for (int k = 1; k <= sz; ++k) {
		vector<int> cand;
		for (int i = 1; i <= n; ++i) {
			if (a[i] <= z[k - 1] && z[k] <= b[i]) cand.push_back(i);
		}
		int s = cand.size();

		for (int i = 0; i < s; ++i) {
			if (i == 0) {
				for (int gap = 0; gap <= s; ++gap) g[gap] = 0;
				g[1] = len[k];
				for (int j = 1; j < s; ++j) {
					int gap = j - i + 1;
					for (int choose = 2; choose <= gap && choose <= len[k]; ++choose) {
						g[gap] = (g[gap] + 1LL * clen[k][choose] * c[gap-2][choose-2]) % md;
					}
				}
			}

			for (int j = i; j < s; ++j) {
				f[j] = (f[j] + 1LL * g[j - i + 1] * (sum[cand[i]-1] + 1)) % md;
			}
		}

		int cur = 0, pt = 0;
		for (int i = 1; i <= n; ++i) {
			while(pt < s && cand[pt] == i) cur = (cur + f[pt]) % md, f[pt] = 0, ++pt;
			sum[i] = (sum[i] + cur) % md;
		}
	}

	cout << sum[n] << '\n';
}
# 결과 실행 시간 메모리 Grader output
1 Correct 59 ms 5240 KB Output is correct
2 Correct 63 ms 5240 KB Output is correct
3 Correct 63 ms 5240 KB Output is correct
4 Correct 63 ms 5240 KB Output is correct
5 Correct 63 ms 5240 KB Output is correct
6 Correct 59 ms 5240 KB Output is correct
7 Correct 59 ms 5240 KB Output is correct
8 Correct 56 ms 5240 KB Output is correct
9 Correct 59 ms 5240 KB Output is correct
10 Correct 56 ms 5240 KB Output is correct
11 Correct 49 ms 5240 KB Output is correct
12 Correct 56 ms 5240 KB Output is correct
13 Correct 59 ms 5240 KB Output is correct
14 Correct 59 ms 5240 KB Output is correct
15 Correct 59 ms 5240 KB Output is correct
16 Correct 9 ms 5240 KB Output is correct
17 Correct 9 ms 5240 KB Output is correct
18 Correct 9 ms 5240 KB Output is correct
19 Correct 13 ms 5240 KB Output is correct
20 Correct 9 ms 5240 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 59 ms 5240 KB Output is correct
2 Correct 63 ms 5240 KB Output is correct
3 Correct 63 ms 5240 KB Output is correct
4 Correct 63 ms 5240 KB Output is correct
5 Correct 63 ms 5240 KB Output is correct
6 Correct 59 ms 5240 KB Output is correct
7 Correct 59 ms 5240 KB Output is correct
8 Correct 56 ms 5240 KB Output is correct
9 Correct 59 ms 5240 KB Output is correct
10 Correct 56 ms 5240 KB Output is correct
11 Correct 49 ms 5240 KB Output is correct
12 Correct 56 ms 5240 KB Output is correct
13 Correct 59 ms 5240 KB Output is correct
14 Correct 59 ms 5240 KB Output is correct
15 Correct 59 ms 5240 KB Output is correct
16 Correct 9 ms 5240 KB Output is correct
17 Correct 9 ms 5240 KB Output is correct
18 Correct 9 ms 5240 KB Output is correct
19 Correct 13 ms 5240 KB Output is correct
20 Correct 9 ms 5240 KB Output is correct
21 Correct 66 ms 5240 KB Output is correct
22 Correct 66 ms 5240 KB Output is correct
23 Correct 59 ms 5240 KB Output is correct
24 Correct 66 ms 5240 KB Output is correct
25 Correct 63 ms 5240 KB Output is correct
26 Correct 136 ms 5240 KB Output is correct
27 Correct 139 ms 5240 KB Output is correct
28 Correct 146 ms 5240 KB Output is correct
29 Correct 133 ms 5240 KB Output is correct
30 Correct 49 ms 5240 KB Output is correct
31 Correct 53 ms 5240 KB Output is correct
32 Correct 49 ms 5240 KB Output is correct
33 Correct 49 ms 5240 KB Output is correct
34 Correct 53 ms 5240 KB Output is correct
35 Correct 53 ms 5240 KB Output is correct
36 Correct 53 ms 5240 KB Output is correct
37 Correct 56 ms 5240 KB Output is correct
38 Correct 53 ms 5240 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 5240 KB Output is correct
2 Correct 3 ms 5240 KB Output is correct
3 Correct 6 ms 5240 KB Output is correct
4 Correct 3 ms 5240 KB Output is correct
5 Correct 6 ms 5240 KB Output is correct
6 Correct 6 ms 5240 KB Output is correct
7 Correct 6 ms 5240 KB Output is correct
8 Correct 6 ms 5240 KB Output is correct
9 Correct 6 ms 5240 KB Output is correct
10 Correct 6 ms 5240 KB Output is correct
11 Correct 6 ms 5240 KB Output is correct
12 Correct 3 ms 5240 KB Output is correct
13 Correct 3 ms 5240 KB Output is correct
14 Correct 0 ms 5240 KB Output is correct
15 Correct 3 ms 5240 KB Output is correct
16 Correct 0 ms 5240 KB Output is correct
17 Correct 3 ms 5240 KB Output is correct
18 Correct 3 ms 5240 KB Output is correct
19 Correct 3 ms 5240 KB Output is correct
20 Correct 3 ms 5240 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 59 ms 5240 KB Output is correct
2 Correct 63 ms 5240 KB Output is correct
3 Correct 63 ms 5240 KB Output is correct
4 Correct 63 ms 5240 KB Output is correct
5 Correct 63 ms 5240 KB Output is correct
6 Correct 59 ms 5240 KB Output is correct
7 Correct 59 ms 5240 KB Output is correct
8 Correct 56 ms 5240 KB Output is correct
9 Correct 59 ms 5240 KB Output is correct
10 Correct 56 ms 5240 KB Output is correct
11 Correct 49 ms 5240 KB Output is correct
12 Correct 56 ms 5240 KB Output is correct
13 Correct 59 ms 5240 KB Output is correct
14 Correct 59 ms 5240 KB Output is correct
15 Correct 59 ms 5240 KB Output is correct
16 Correct 9 ms 5240 KB Output is correct
17 Correct 9 ms 5240 KB Output is correct
18 Correct 9 ms 5240 KB Output is correct
19 Correct 13 ms 5240 KB Output is correct
20 Correct 9 ms 5240 KB Output is correct
21 Correct 66 ms 5240 KB Output is correct
22 Correct 66 ms 5240 KB Output is correct
23 Correct 59 ms 5240 KB Output is correct
24 Correct 66 ms 5240 KB Output is correct
25 Correct 63 ms 5240 KB Output is correct
26 Correct 136 ms 5240 KB Output is correct
27 Correct 139 ms 5240 KB Output is correct
28 Correct 146 ms 5240 KB Output is correct
29 Correct 133 ms 5240 KB Output is correct
30 Correct 49 ms 5240 KB Output is correct
31 Correct 53 ms 5240 KB Output is correct
32 Correct 49 ms 5240 KB Output is correct
33 Correct 49 ms 5240 KB Output is correct
34 Correct 53 ms 5240 KB Output is correct
35 Correct 53 ms 5240 KB Output is correct
36 Correct 53 ms 5240 KB Output is correct
37 Correct 56 ms 5240 KB Output is correct
38 Correct 53 ms 5240 KB Output is correct
39 Correct 6 ms 5240 KB Output is correct
40 Correct 3 ms 5240 KB Output is correct
41 Correct 6 ms 5240 KB Output is correct
42 Correct 3 ms 5240 KB Output is correct
43 Correct 6 ms 5240 KB Output is correct
44 Correct 6 ms 5240 KB Output is correct
45 Correct 6 ms 5240 KB Output is correct
46 Correct 6 ms 5240 KB Output is correct
47 Correct 6 ms 5240 KB Output is correct
48 Correct 6 ms 5240 KB Output is correct
49 Correct 6 ms 5240 KB Output is correct
50 Correct 3 ms 5240 KB Output is correct
51 Correct 3 ms 5240 KB Output is correct
52 Correct 0 ms 5240 KB Output is correct
53 Correct 3 ms 5240 KB Output is correct
54 Correct 0 ms 5240 KB Output is correct
55 Correct 3 ms 5240 KB Output is correct
56 Correct 3 ms 5240 KB Output is correct
57 Correct 3 ms 5240 KB Output is correct
58 Correct 3 ms 5240 KB Output is correct
59 Correct 289 ms 5240 KB Output is correct
60 Correct 273 ms 5240 KB Output is correct
61 Correct 279 ms 5240 KB Output is correct
62 Correct 303 ms 5240 KB Output is correct
63 Correct 279 ms 5240 KB Output is correct
64 Correct 513 ms 5240 KB Output is correct
65 Correct 526 ms 5240 KB Output is correct
66 Correct 529 ms 5240 KB Output is correct
67 Correct 506 ms 5240 KB Output is correct
68 Correct 536 ms 5240 KB Output is correct
69 Correct 283 ms 5240 KB Output is correct
70 Correct 269 ms 5240 KB Output is correct
71 Correct 273 ms 5240 KB Output is correct
72 Correct 269 ms 5240 KB Output is correct
73 Correct 276 ms 5240 KB Output is correct
74 Correct 36 ms 5240 KB Output is correct
75 Correct 33 ms 5240 KB Output is correct
76 Correct 33 ms 5240 KB Output is correct
77 Correct 33 ms 5240 KB Output is correct
78 Correct 36 ms 5240 KB Output is correct