답안 #101889

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
101889 2019-03-20T18:39:57 Z KCSC Boat (APIO16_boat) C++14
100 / 100
671 ms 3456 KB
#include <bits/stdc++.h>
using namespace std;

const int DIM = 505;
const int MOD = 1000000007;

vector<int> lst;
pair<int, int> seg[DIM];

int dp[DIM], dp2[DIM][DIM];
int fct[DIM], inv[DIM], cmb[DIM * 2][DIM];

int logPow(int x, int n) {
	if (!n) { return 1; }
	int y = logPow(x, n >> 1);
	if (n | 1) { y = 1LL * y * y % MOD; }
	if (n & 1) { y = 1LL * y * x % MOD; }
	return y; }

int main(void) {
#ifdef HOME
	freopen("boat.in", "r", stdin);
	freopen("boat.out", "w", stdout);
#endif
	int n; cin >> n;
	for (int i = 1; i <= n; ++i) {
		cin >> seg[i].first >> seg[i].second;
		lst.push_back(seg[i].first); lst.push_back(++seg[i].second); }
	sort(lst.begin(), lst.end());
	lst.resize(unique(lst.begin(), lst.end()) - lst.begin());
	fct[0] = inv[0] = 1;
	for (int i = 1; i <= n; ++i) {
		fct[i] = 1LL * fct[i - 1] * i % MOD;
		inv[i] = logPow(fct[i], MOD - 2); }
	for (int i = 1; i < lst.size(); ++i) {
		int dif = lst[i] - lst[i - 1];
		cmb[i][0] = 1;
		for (int j = 1; j <= n; ++j) {
			cmb[i][j] = 1LL * cmb[i][j - 1] * (dif - j + 1) % MOD; }
		for (int j = 1; j <= n; ++j) {
			cmb[i][j] = 1LL * cmb[i][j] * inv[j] % MOD; } }
	for (int i = 0; i <= n; ++i) {
		dp[i] = 1; }
	for (int i = 1; i < lst.size(); ++i) {
		int dif = lst[i] - lst[i - 1];
		for (int j = 0; j <= n; ++j) {
			dp2[0][j] = dp[j]; }
		for (int j = 1; j <= min(dif, n); ++j) {
			for (int k = j; k <= n; ++k) {
				dp2[j][k] = dp2[j][k - 1];
				if (seg[k].first <= lst[i - 1] and seg[k].second >= lst[i]) {
					dp2[j][k] = (dp2[j][k] + dp2[j - 1][k - 1]) % MOD; }
				dp[k] = (1LL * dp2[j][k] * cmb[i][j] + dp[k]) % MOD; } } }
	cout << (dp[n] - 1 + MOD) % MOD;
	return 0; }

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:35:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i < lst.size(); ++i) {
                  ~~^~~~~~~~~~~~
boat.cpp:44:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i < lst.size(); ++i) {
                  ~~^~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 264 ms 3448 KB Output is correct
2 Correct 278 ms 3448 KB Output is correct
3 Correct 283 ms 3452 KB Output is correct
4 Correct 297 ms 3448 KB Output is correct
5 Correct 302 ms 3328 KB Output is correct
6 Correct 201 ms 3328 KB Output is correct
7 Correct 196 ms 3400 KB Output is correct
8 Correct 207 ms 3328 KB Output is correct
9 Correct 209 ms 3328 KB Output is correct
10 Correct 206 ms 3448 KB Output is correct
11 Correct 197 ms 3448 KB Output is correct
12 Correct 180 ms 3328 KB Output is correct
13 Correct 188 ms 3328 KB Output is correct
14 Correct 190 ms 3452 KB Output is correct
15 Correct 211 ms 3448 KB Output is correct
16 Correct 47 ms 1664 KB Output is correct
17 Correct 52 ms 1664 KB Output is correct
18 Correct 51 ms 1756 KB Output is correct
19 Correct 50 ms 1664 KB Output is correct
20 Correct 50 ms 1784 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 264 ms 3448 KB Output is correct
2 Correct 278 ms 3448 KB Output is correct
3 Correct 283 ms 3452 KB Output is correct
4 Correct 297 ms 3448 KB Output is correct
5 Correct 302 ms 3328 KB Output is correct
6 Correct 201 ms 3328 KB Output is correct
7 Correct 196 ms 3400 KB Output is correct
8 Correct 207 ms 3328 KB Output is correct
9 Correct 209 ms 3328 KB Output is correct
10 Correct 206 ms 3448 KB Output is correct
11 Correct 197 ms 3448 KB Output is correct
12 Correct 180 ms 3328 KB Output is correct
13 Correct 188 ms 3328 KB Output is correct
14 Correct 190 ms 3452 KB Output is correct
15 Correct 211 ms 3448 KB Output is correct
16 Correct 47 ms 1664 KB Output is correct
17 Correct 52 ms 1664 KB Output is correct
18 Correct 51 ms 1756 KB Output is correct
19 Correct 50 ms 1664 KB Output is correct
20 Correct 50 ms 1784 KB Output is correct
21 Correct 20 ms 3072 KB Output is correct
22 Correct 22 ms 3200 KB Output is correct
23 Correct 21 ms 3192 KB Output is correct
24 Correct 20 ms 3200 KB Output is correct
25 Correct 20 ms 3064 KB Output is correct
26 Correct 20 ms 3072 KB Output is correct
27 Correct 21 ms 3072 KB Output is correct
28 Correct 19 ms 3064 KB Output is correct
29 Correct 25 ms 3064 KB Output is correct
30 Correct 177 ms 3328 KB Output is correct
31 Correct 183 ms 3448 KB Output is correct
32 Correct 250 ms 3328 KB Output is correct
33 Correct 195 ms 3424 KB Output is correct
34 Correct 176 ms 3452 KB Output is correct
35 Correct 260 ms 3328 KB Output is correct
36 Correct 233 ms 3328 KB Output is correct
37 Correct 252 ms 3448 KB Output is correct
38 Correct 229 ms 3456 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 1024 KB Output is correct
2 Correct 9 ms 1028 KB Output is correct
3 Correct 10 ms 1024 KB Output is correct
4 Correct 7 ms 1024 KB Output is correct
5 Correct 8 ms 896 KB Output is correct
6 Correct 10 ms 924 KB Output is correct
7 Correct 9 ms 896 KB Output is correct
8 Correct 8 ms 924 KB Output is correct
9 Correct 8 ms 1024 KB Output is correct
10 Correct 9 ms 896 KB Output is correct
11 Correct 8 ms 896 KB Output is correct
12 Correct 7 ms 896 KB Output is correct
13 Correct 8 ms 1024 KB Output is correct
14 Correct 12 ms 1024 KB Output is correct
15 Correct 8 ms 1024 KB Output is correct
16 Correct 6 ms 768 KB Output is correct
17 Correct 6 ms 768 KB Output is correct
18 Correct 7 ms 768 KB Output is correct
19 Correct 7 ms 768 KB Output is correct
20 Correct 5 ms 768 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 264 ms 3448 KB Output is correct
2 Correct 278 ms 3448 KB Output is correct
3 Correct 283 ms 3452 KB Output is correct
4 Correct 297 ms 3448 KB Output is correct
5 Correct 302 ms 3328 KB Output is correct
6 Correct 201 ms 3328 KB Output is correct
7 Correct 196 ms 3400 KB Output is correct
8 Correct 207 ms 3328 KB Output is correct
9 Correct 209 ms 3328 KB Output is correct
10 Correct 206 ms 3448 KB Output is correct
11 Correct 197 ms 3448 KB Output is correct
12 Correct 180 ms 3328 KB Output is correct
13 Correct 188 ms 3328 KB Output is correct
14 Correct 190 ms 3452 KB Output is correct
15 Correct 211 ms 3448 KB Output is correct
16 Correct 47 ms 1664 KB Output is correct
17 Correct 52 ms 1664 KB Output is correct
18 Correct 51 ms 1756 KB Output is correct
19 Correct 50 ms 1664 KB Output is correct
20 Correct 50 ms 1784 KB Output is correct
21 Correct 20 ms 3072 KB Output is correct
22 Correct 22 ms 3200 KB Output is correct
23 Correct 21 ms 3192 KB Output is correct
24 Correct 20 ms 3200 KB Output is correct
25 Correct 20 ms 3064 KB Output is correct
26 Correct 20 ms 3072 KB Output is correct
27 Correct 21 ms 3072 KB Output is correct
28 Correct 19 ms 3064 KB Output is correct
29 Correct 25 ms 3064 KB Output is correct
30 Correct 177 ms 3328 KB Output is correct
31 Correct 183 ms 3448 KB Output is correct
32 Correct 250 ms 3328 KB Output is correct
33 Correct 195 ms 3424 KB Output is correct
34 Correct 176 ms 3452 KB Output is correct
35 Correct 260 ms 3328 KB Output is correct
36 Correct 233 ms 3328 KB Output is correct
37 Correct 252 ms 3448 KB Output is correct
38 Correct 229 ms 3456 KB Output is correct
39 Correct 8 ms 1024 KB Output is correct
40 Correct 9 ms 1028 KB Output is correct
41 Correct 10 ms 1024 KB Output is correct
42 Correct 7 ms 1024 KB Output is correct
43 Correct 8 ms 896 KB Output is correct
44 Correct 10 ms 924 KB Output is correct
45 Correct 9 ms 896 KB Output is correct
46 Correct 8 ms 924 KB Output is correct
47 Correct 8 ms 1024 KB Output is correct
48 Correct 9 ms 896 KB Output is correct
49 Correct 8 ms 896 KB Output is correct
50 Correct 7 ms 896 KB Output is correct
51 Correct 8 ms 1024 KB Output is correct
52 Correct 12 ms 1024 KB Output is correct
53 Correct 8 ms 1024 KB Output is correct
54 Correct 6 ms 768 KB Output is correct
55 Correct 6 ms 768 KB Output is correct
56 Correct 7 ms 768 KB Output is correct
57 Correct 7 ms 768 KB Output is correct
58 Correct 5 ms 768 KB Output is correct
59 Correct 551 ms 3328 KB Output is correct
60 Correct 568 ms 3396 KB Output is correct
61 Correct 567 ms 3328 KB Output is correct
62 Correct 546 ms 3372 KB Output is correct
63 Correct 671 ms 3448 KB Output is correct
64 Correct 617 ms 3396 KB Output is correct
65 Correct 629 ms 3300 KB Output is correct
66 Correct 631 ms 3304 KB Output is correct
67 Correct 660 ms 3448 KB Output is correct
68 Correct 646 ms 3356 KB Output is correct
69 Correct 505 ms 3448 KB Output is correct
70 Correct 554 ms 3448 KB Output is correct
71 Correct 559 ms 3360 KB Output is correct
72 Correct 478 ms 3420 KB Output is correct
73 Correct 559 ms 3328 KB Output is correct
74 Correct 58 ms 1664 KB Output is correct
75 Correct 60 ms 1664 KB Output is correct
76 Correct 60 ms 1784 KB Output is correct
77 Correct 60 ms 1664 KB Output is correct
78 Correct 61 ms 1784 KB Output is correct