답안 #48643 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
48643	2018-05-17T15:04:59 Z	nobik	Boat (APIO16_boat)	C++14	100 / 100	736 ms	8832 KB

boat

#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 cur[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]);
		}
	}
	REP(w, m) {
		int len = d[w+1]-d[w];
		int first = len;
		for (int j = 0; j <= n; ++j) {
			first = 1LL*first*(len-j-1)%mod*iv[j+2] % mod;
			cur[j] = first;
		}
		for (int i = 0; i <= n; ++i) {
			for (int j = 0; j <= i; ++j) {
				add(g[i][w], 1LL*cur[j]*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';
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	494 ms	8312 KB	Output is correct
2	Correct	461 ms	8424 KB	Output is correct
3	Correct	428 ms	8492 KB	Output is correct
4	Correct	422 ms	8492 KB	Output is correct
5	Correct	458 ms	8492 KB	Output is correct
6	Correct	425 ms	8492 KB	Output is correct
7	Correct	446 ms	8544 KB	Output is correct
8	Correct	417 ms	8544 KB	Output is correct
9	Correct	414 ms	8544 KB	Output is correct
10	Correct	410 ms	8544 KB	Output is correct
11	Correct	406 ms	8544 KB	Output is correct
12	Correct	413 ms	8544 KB	Output is correct
13	Correct	415 ms	8544 KB	Output is correct
14	Correct	409 ms	8544 KB	Output is correct
15	Correct	466 ms	8544 KB	Output is correct
16	Correct	79 ms	8544 KB	Output is correct
17	Correct	91 ms	8564 KB	Output is correct
18	Correct	86 ms	8564 KB	Output is correct
19	Correct	86 ms	8564 KB	Output is correct
20	Correct	83 ms	8588 KB	Output is correct

Subtask #2
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	494 ms	8312 KB	Output is correct
2	Correct	461 ms	8424 KB	Output is correct
3	Correct	428 ms	8492 KB	Output is correct
4	Correct	422 ms	8492 KB	Output is correct
5	Correct	458 ms	8492 KB	Output is correct
6	Correct	425 ms	8492 KB	Output is correct
7	Correct	446 ms	8544 KB	Output is correct
8	Correct	417 ms	8544 KB	Output is correct
9	Correct	414 ms	8544 KB	Output is correct
10	Correct	410 ms	8544 KB	Output is correct
11	Correct	406 ms	8544 KB	Output is correct
12	Correct	413 ms	8544 KB	Output is correct
13	Correct	415 ms	8544 KB	Output is correct
14	Correct	409 ms	8544 KB	Output is correct
15	Correct	466 ms	8544 KB	Output is correct
16	Correct	79 ms	8544 KB	Output is correct
17	Correct	91 ms	8564 KB	Output is correct
18	Correct	86 ms	8564 KB	Output is correct
19	Correct	86 ms	8564 KB	Output is correct
20	Correct	83 ms	8588 KB	Output is correct
21	Correct	533 ms	8588 KB	Output is correct
22	Correct	527 ms	8588 KB	Output is correct
23	Correct	532 ms	8588 KB	Output is correct
24	Correct	573 ms	8588 KB	Output is correct
25	Correct	584 ms	8588 KB	Output is correct
26	Correct	642 ms	8700 KB	Output is correct
27	Correct	646 ms	8700 KB	Output is correct
28	Correct	698 ms	8700 KB	Output is correct
29	Correct	656 ms	8700 KB	Output is correct
30	Correct	440 ms	8700 KB	Output is correct
31	Correct	410 ms	8700 KB	Output is correct
32	Correct	542 ms	8700 KB	Output is correct
33	Correct	417 ms	8700 KB	Output is correct
34	Correct	436 ms	8700 KB	Output is correct
35	Correct	425 ms	8700 KB	Output is correct
36	Correct	384 ms	8700 KB	Output is correct
37	Correct	426 ms	8700 KB	Output is correct
38	Correct	544 ms	8700 KB	Output is correct

Subtask #3
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	11 ms	8700 KB	Output is correct
2	Correct	17 ms	8700 KB	Output is correct
3	Correct	16 ms	8700 KB	Output is correct
4	Correct	11 ms	8700 KB	Output is correct
5	Correct	11 ms	8700 KB	Output is correct
6	Correct	13 ms	8700 KB	Output is correct
7	Correct	12 ms	8700 KB	Output is correct
8	Correct	12 ms	8700 KB	Output is correct
9	Correct	14 ms	8700 KB	Output is correct
10	Correct	12 ms	8700 KB	Output is correct
11	Correct	13 ms	8700 KB	Output is correct
12	Correct	11 ms	8700 KB	Output is correct
13	Correct	12 ms	8700 KB	Output is correct
14	Correct	11 ms	8700 KB	Output is correct
15	Correct	15 ms	8700 KB	Output is correct
16	Correct	15 ms	8700 KB	Output is correct
17	Correct	9 ms	8700 KB	Output is correct
18	Correct	9 ms	8700 KB	Output is correct
19	Correct	10 ms	8700 KB	Output is correct
20	Correct	9 ms	8700 KB	Output is correct

Subtask #4
42.0 / 42.0

#	결과	실행 시간	메모리	Grader output
1	Correct	494 ms	8312 KB	Output is correct
2	Correct	461 ms	8424 KB	Output is correct
3	Correct	428 ms	8492 KB	Output is correct
4	Correct	422 ms	8492 KB	Output is correct
5	Correct	458 ms	8492 KB	Output is correct
6	Correct	425 ms	8492 KB	Output is correct
7	Correct	446 ms	8544 KB	Output is correct
8	Correct	417 ms	8544 KB	Output is correct
9	Correct	414 ms	8544 KB	Output is correct
10	Correct	410 ms	8544 KB	Output is correct
11	Correct	406 ms	8544 KB	Output is correct
12	Correct	413 ms	8544 KB	Output is correct
13	Correct	415 ms	8544 KB	Output is correct
14	Correct	409 ms	8544 KB	Output is correct
15	Correct	466 ms	8544 KB	Output is correct
16	Correct	79 ms	8544 KB	Output is correct
17	Correct	91 ms	8564 KB	Output is correct
18	Correct	86 ms	8564 KB	Output is correct
19	Correct	86 ms	8564 KB	Output is correct
20	Correct	83 ms	8588 KB	Output is correct
21	Correct	533 ms	8588 KB	Output is correct
22	Correct	527 ms	8588 KB	Output is correct
23	Correct	532 ms	8588 KB	Output is correct
24	Correct	573 ms	8588 KB	Output is correct
25	Correct	584 ms	8588 KB	Output is correct
26	Correct	642 ms	8700 KB	Output is correct
27	Correct	646 ms	8700 KB	Output is correct
28	Correct	698 ms	8700 KB	Output is correct
29	Correct	656 ms	8700 KB	Output is correct
30	Correct	440 ms	8700 KB	Output is correct
31	Correct	410 ms	8700 KB	Output is correct
32	Correct	542 ms	8700 KB	Output is correct
33	Correct	417 ms	8700 KB	Output is correct
34	Correct	436 ms	8700 KB	Output is correct
35	Correct	425 ms	8700 KB	Output is correct
36	Correct	384 ms	8700 KB	Output is correct
37	Correct	426 ms	8700 KB	Output is correct
38	Correct	544 ms	8700 KB	Output is correct
39	Correct	11 ms	8700 KB	Output is correct
40	Correct	17 ms	8700 KB	Output is correct
41	Correct	16 ms	8700 KB	Output is correct
42	Correct	11 ms	8700 KB	Output is correct
43	Correct	11 ms	8700 KB	Output is correct
44	Correct	13 ms	8700 KB	Output is correct
45	Correct	12 ms	8700 KB	Output is correct
46	Correct	12 ms	8700 KB	Output is correct
47	Correct	14 ms	8700 KB	Output is correct
48	Correct	12 ms	8700 KB	Output is correct
49	Correct	13 ms	8700 KB	Output is correct
50	Correct	11 ms	8700 KB	Output is correct
51	Correct	12 ms	8700 KB	Output is correct
52	Correct	11 ms	8700 KB	Output is correct
53	Correct	15 ms	8700 KB	Output is correct
54	Correct	15 ms	8700 KB	Output is correct
55	Correct	9 ms	8700 KB	Output is correct
56	Correct	9 ms	8700 KB	Output is correct
57	Correct	10 ms	8700 KB	Output is correct
58	Correct	9 ms	8700 KB	Output is correct
59	Correct	650 ms	8700 KB	Output is correct
60	Correct	731 ms	8700 KB	Output is correct
61	Correct	605 ms	8700 KB	Output is correct
62	Correct	583 ms	8700 KB	Output is correct
63	Correct	561 ms	8700 KB	Output is correct
64	Correct	705 ms	8700 KB	Output is correct
65	Correct	706 ms	8700 KB	Output is correct
66	Correct	736 ms	8700 KB	Output is correct
67	Correct	734 ms	8700 KB	Output is correct
68	Correct	733 ms	8704 KB	Output is correct
69	Correct	528 ms	8704 KB	Output is correct
70	Correct	535 ms	8704 KB	Output is correct
71	Correct	521 ms	8772 KB	Output is correct
72	Correct	519 ms	8784 KB	Output is correct
73	Correct	557 ms	8784 KB	Output is correct
74	Correct	114 ms	8784 KB	Output is correct
75	Correct	140 ms	8784 KB	Output is correct
76	Correct	117 ms	8832 KB	Output is correct
77	Correct	120 ms	8832 KB	Output is correct
78	Correct	114 ms	8832 KB	Output is correct

답안 #48643

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 22.0 / 22.0

Subtask #3 27.0 / 27.0

Subtask #4 42.0 / 42.0

Subtask #1
9.0 / 9.0

Subtask #2
22.0 / 22.0

Subtask #3
27.0 / 27.0

Subtask #4
42.0 / 42.0