Submission #51624

# Submission time Handle Problem Language Result Execution time Memory
51624 2018-06-19T09:27:22 Z tmwilliamlin168 Boat (APIO16_boat) C++14
100 / 100
557 ms 8656 KB
#include <bits/stdc++.h>
using namespace std;

#define ll long long

const int mxN=500, M=1e9+7;
int n, a[mxN], b[mxN];
ll dp[mxN+1][2*mxN], c[2*mxN][mxN+1];
vector<int> pts;

inline ll modI(ll a, ll m) {
	return a<=1?a:(1-modI(m%a, a)*m)/a+m;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n;
	for(int i=0; i<n; ++i) {
		cin >> a[i] >> b[i], --a[i];
		pts.push_back(a[i]);
		pts.push_back(b[i]);
	}
	sort(pts.begin(), pts.end());
	pts.resize(unique(pts.begin(), pts.end())-pts.begin());
	for(int i=1; i<pts.size(); ++i) {
		c[i][1]=pts[i]-pts[i-1];
		for(int j=2; j<=n; ++j)
			c[i][j]=c[i][j-1]*(pts[i]-pts[i-1]+j-1)%M*modI(j, M)%M;
	}
	for(int i=0; i<pts.size(); ++i)
		dp[0][i]=1;
	for(int i=1; i<=n; ++i) {
		dp[i][0]=1;
		for(int j=1; j<pts.size(); ++j) {
			dp[i][j]=dp[i][j-1];
			for(int k=i, n2=0; k; --k) {
				if(pts[j]>a[k-1]&&pts[j]<=b[k-1]) {
					++n2;
					dp[i][j]+=dp[k-1][j-1]*c[j][n2]%M;
				}
			}
			dp[i][j]%=M;
		}
	}
	cout << dp[n][pts.size()-1]-1;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:27:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=1; i<pts.size(); ++i) {
               ~^~~~~~~~~~~
boat.cpp:32:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<pts.size(); ++i)
               ~^~~~~~~~~~~
boat.cpp:36:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j=1; j<pts.size(); ++j) {
                ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 496 ms 8184 KB Output is correct
2 Correct 515 ms 8424 KB Output is correct
3 Correct 520 ms 8424 KB Output is correct
4 Correct 525 ms 8424 KB Output is correct
5 Correct 506 ms 8544 KB Output is correct
6 Correct 261 ms 8544 KB Output is correct
7 Correct 252 ms 8544 KB Output is correct
8 Correct 262 ms 8544 KB Output is correct
9 Correct 268 ms 8560 KB Output is correct
10 Correct 254 ms 8560 KB Output is correct
11 Correct 260 ms 8560 KB Output is correct
12 Correct 266 ms 8560 KB Output is correct
13 Correct 252 ms 8560 KB Output is correct
14 Correct 241 ms 8560 KB Output is correct
15 Correct 261 ms 8560 KB Output is correct
16 Correct 98 ms 8560 KB Output is correct
17 Correct 98 ms 8560 KB Output is correct
18 Correct 99 ms 8560 KB Output is correct
19 Correct 100 ms 8560 KB Output is correct
20 Correct 96 ms 8560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 496 ms 8184 KB Output is correct
2 Correct 515 ms 8424 KB Output is correct
3 Correct 520 ms 8424 KB Output is correct
4 Correct 525 ms 8424 KB Output is correct
5 Correct 506 ms 8544 KB Output is correct
6 Correct 261 ms 8544 KB Output is correct
7 Correct 252 ms 8544 KB Output is correct
8 Correct 262 ms 8544 KB Output is correct
9 Correct 268 ms 8560 KB Output is correct
10 Correct 254 ms 8560 KB Output is correct
11 Correct 260 ms 8560 KB Output is correct
12 Correct 266 ms 8560 KB Output is correct
13 Correct 252 ms 8560 KB Output is correct
14 Correct 241 ms 8560 KB Output is correct
15 Correct 261 ms 8560 KB Output is correct
16 Correct 98 ms 8560 KB Output is correct
17 Correct 98 ms 8560 KB Output is correct
18 Correct 99 ms 8560 KB Output is correct
19 Correct 100 ms 8560 KB Output is correct
20 Correct 96 ms 8560 KB Output is correct
21 Correct 407 ms 8560 KB Output is correct
22 Correct 414 ms 8560 KB Output is correct
23 Correct 383 ms 8560 KB Output is correct
24 Correct 388 ms 8560 KB Output is correct
25 Correct 396 ms 8560 KB Output is correct
26 Correct 393 ms 8560 KB Output is correct
27 Correct 420 ms 8560 KB Output is correct
28 Correct 398 ms 8560 KB Output is correct
29 Correct 388 ms 8560 KB Output is correct
30 Correct 272 ms 8560 KB Output is correct
31 Correct 248 ms 8560 KB Output is correct
32 Correct 284 ms 8576 KB Output is correct
33 Correct 254 ms 8576 KB Output is correct
34 Correct 248 ms 8576 KB Output is correct
35 Correct 500 ms 8648 KB Output is correct
36 Correct 497 ms 8648 KB Output is correct
37 Correct 538 ms 8648 KB Output is correct
38 Correct 517 ms 8648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 8648 KB Output is correct
2 Correct 10 ms 8648 KB Output is correct
3 Correct 8 ms 8648 KB Output is correct
4 Correct 9 ms 8648 KB Output is correct
5 Correct 9 ms 8648 KB Output is correct
6 Correct 10 ms 8648 KB Output is correct
7 Correct 9 ms 8648 KB Output is correct
8 Correct 9 ms 8648 KB Output is correct
9 Correct 9 ms 8648 KB Output is correct
10 Correct 9 ms 8648 KB Output is correct
11 Correct 8 ms 8648 KB Output is correct
12 Correct 8 ms 8648 KB Output is correct
13 Correct 9 ms 8648 KB Output is correct
14 Correct 9 ms 8648 KB Output is correct
15 Correct 8 ms 8648 KB Output is correct
16 Correct 6 ms 8648 KB Output is correct
17 Correct 6 ms 8648 KB Output is correct
18 Correct 6 ms 8648 KB Output is correct
19 Correct 6 ms 8648 KB Output is correct
20 Correct 6 ms 8648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 496 ms 8184 KB Output is correct
2 Correct 515 ms 8424 KB Output is correct
3 Correct 520 ms 8424 KB Output is correct
4 Correct 525 ms 8424 KB Output is correct
5 Correct 506 ms 8544 KB Output is correct
6 Correct 261 ms 8544 KB Output is correct
7 Correct 252 ms 8544 KB Output is correct
8 Correct 262 ms 8544 KB Output is correct
9 Correct 268 ms 8560 KB Output is correct
10 Correct 254 ms 8560 KB Output is correct
11 Correct 260 ms 8560 KB Output is correct
12 Correct 266 ms 8560 KB Output is correct
13 Correct 252 ms 8560 KB Output is correct
14 Correct 241 ms 8560 KB Output is correct
15 Correct 261 ms 8560 KB Output is correct
16 Correct 98 ms 8560 KB Output is correct
17 Correct 98 ms 8560 KB Output is correct
18 Correct 99 ms 8560 KB Output is correct
19 Correct 100 ms 8560 KB Output is correct
20 Correct 96 ms 8560 KB Output is correct
21 Correct 407 ms 8560 KB Output is correct
22 Correct 414 ms 8560 KB Output is correct
23 Correct 383 ms 8560 KB Output is correct
24 Correct 388 ms 8560 KB Output is correct
25 Correct 396 ms 8560 KB Output is correct
26 Correct 393 ms 8560 KB Output is correct
27 Correct 420 ms 8560 KB Output is correct
28 Correct 398 ms 8560 KB Output is correct
29 Correct 388 ms 8560 KB Output is correct
30 Correct 272 ms 8560 KB Output is correct
31 Correct 248 ms 8560 KB Output is correct
32 Correct 284 ms 8576 KB Output is correct
33 Correct 254 ms 8576 KB Output is correct
34 Correct 248 ms 8576 KB Output is correct
35 Correct 500 ms 8648 KB Output is correct
36 Correct 497 ms 8648 KB Output is correct
37 Correct 538 ms 8648 KB Output is correct
38 Correct 517 ms 8648 KB Output is correct
39 Correct 10 ms 8648 KB Output is correct
40 Correct 10 ms 8648 KB Output is correct
41 Correct 8 ms 8648 KB Output is correct
42 Correct 9 ms 8648 KB Output is correct
43 Correct 9 ms 8648 KB Output is correct
44 Correct 10 ms 8648 KB Output is correct
45 Correct 9 ms 8648 KB Output is correct
46 Correct 9 ms 8648 KB Output is correct
47 Correct 9 ms 8648 KB Output is correct
48 Correct 9 ms 8648 KB Output is correct
49 Correct 8 ms 8648 KB Output is correct
50 Correct 8 ms 8648 KB Output is correct
51 Correct 9 ms 8648 KB Output is correct
52 Correct 9 ms 8648 KB Output is correct
53 Correct 8 ms 8648 KB Output is correct
54 Correct 6 ms 8648 KB Output is correct
55 Correct 6 ms 8648 KB Output is correct
56 Correct 6 ms 8648 KB Output is correct
57 Correct 6 ms 8648 KB Output is correct
58 Correct 6 ms 8648 KB Output is correct
59 Correct 439 ms 8656 KB Output is correct
60 Correct 505 ms 8656 KB Output is correct
61 Correct 411 ms 8656 KB Output is correct
62 Correct 456 ms 8656 KB Output is correct
63 Correct 418 ms 8656 KB Output is correct
64 Correct 444 ms 8656 KB Output is correct
65 Correct 557 ms 8656 KB Output is correct
66 Correct 458 ms 8656 KB Output is correct
67 Correct 477 ms 8656 KB Output is correct
68 Correct 448 ms 8656 KB Output is correct
69 Correct 531 ms 8656 KB Output is correct
70 Correct 437 ms 8656 KB Output is correct
71 Correct 452 ms 8656 KB Output is correct
72 Correct 429 ms 8656 KB Output is correct
73 Correct 484 ms 8656 KB Output is correct
74 Correct 102 ms 8656 KB Output is correct
75 Correct 115 ms 8656 KB Output is correct
76 Correct 157 ms 8656 KB Output is correct
77 Correct 115 ms 8656 KB Output is correct
78 Correct 119 ms 8656 KB Output is correct