Submission #51626

# Submission time Handle Problem Language Result Execution time Memory
51626 2018-06-19T09:46:39 Z tmwilliamlin168 Boat (APIO16_boat) C++14
100 / 100
597 ms 8628 KB
#include <bits/stdc++.h>
using namespace std;

#define getchar_unlocked getchar
#define putchar_unlocked putchar
#define ll long long

inline int in() {
	int result = 0;
	char ch = getchar_unlocked();
	while (true) {
		if(ch >= '0' && ch <= '9')
			break;
		ch = getchar_unlocked();
	}
	result = ch-'0';
	while(true) {
		ch = getchar_unlocked();
		if (ch < '0' || ch > '9')
			break;
		result = result*10 + (ch - '0');
	}
	return result;
}
inline void out(int x) {
	int rev=x, c=0;
	if(!x) {
		putchar_unlocked('0');
		return;
	}
	while(!(rev%10)) {
		++c;
		rev/=10;
	}
	rev=0;
	while(x) {
		rev=rev*10+x%10;
		x/=10;
	}
	while(rev) {
		putchar_unlocked(rev%10+'0');
		rev/=10;
	}
	while(c--)
		putchar_unlocked('0');
}

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() {
	n=in();
	for(int i=0; i<n; ++i) {
		a[i]=in()-1;
		b[i]=in();
		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;
		}
	}
	out(dp[n][pts.size()-1]-1);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:67:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=1; i<pts.size(); ++i) {
               ~^~~~~~~~~~~
boat.cpp:72:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<pts.size(); ++i)
               ~^~~~~~~~~~~
boat.cpp:76:17: 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 597 ms 8224 KB Output is correct
2 Correct 551 ms 8300 KB Output is correct
3 Correct 551 ms 8440 KB Output is correct
4 Correct 546 ms 8440 KB Output is correct
5 Correct 541 ms 8440 KB Output is correct
6 Correct 282 ms 8460 KB Output is correct
7 Correct 275 ms 8464 KB Output is correct
8 Correct 257 ms 8464 KB Output is correct
9 Correct 269 ms 8464 KB Output is correct
10 Correct 259 ms 8464 KB Output is correct
11 Correct 250 ms 8464 KB Output is correct
12 Correct 267 ms 8464 KB Output is correct
13 Correct 250 ms 8464 KB Output is correct
14 Correct 241 ms 8464 KB Output is correct
15 Correct 275 ms 8464 KB Output is correct
16 Correct 99 ms 8464 KB Output is correct
17 Correct 105 ms 8464 KB Output is correct
18 Correct 115 ms 8464 KB Output is correct
19 Correct 132 ms 8464 KB Output is correct
20 Correct 112 ms 8464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 597 ms 8224 KB Output is correct
2 Correct 551 ms 8300 KB Output is correct
3 Correct 551 ms 8440 KB Output is correct
4 Correct 546 ms 8440 KB Output is correct
5 Correct 541 ms 8440 KB Output is correct
6 Correct 282 ms 8460 KB Output is correct
7 Correct 275 ms 8464 KB Output is correct
8 Correct 257 ms 8464 KB Output is correct
9 Correct 269 ms 8464 KB Output is correct
10 Correct 259 ms 8464 KB Output is correct
11 Correct 250 ms 8464 KB Output is correct
12 Correct 267 ms 8464 KB Output is correct
13 Correct 250 ms 8464 KB Output is correct
14 Correct 241 ms 8464 KB Output is correct
15 Correct 275 ms 8464 KB Output is correct
16 Correct 99 ms 8464 KB Output is correct
17 Correct 105 ms 8464 KB Output is correct
18 Correct 115 ms 8464 KB Output is correct
19 Correct 132 ms 8464 KB Output is correct
20 Correct 112 ms 8464 KB Output is correct
21 Correct 504 ms 8464 KB Output is correct
22 Correct 438 ms 8464 KB Output is correct
23 Correct 463 ms 8464 KB Output is correct
24 Correct 388 ms 8464 KB Output is correct
25 Correct 396 ms 8464 KB Output is correct
26 Correct 375 ms 8464 KB Output is correct
27 Correct 464 ms 8464 KB Output is correct
28 Correct 405 ms 8464 KB Output is correct
29 Correct 411 ms 8464 KB Output is correct
30 Correct 313 ms 8492 KB Output is correct
31 Correct 262 ms 8492 KB Output is correct
32 Correct 277 ms 8492 KB Output is correct
33 Correct 264 ms 8492 KB Output is correct
34 Correct 294 ms 8492 KB Output is correct
35 Correct 593 ms 8492 KB Output is correct
36 Correct 573 ms 8492 KB Output is correct
37 Correct 561 ms 8600 KB Output is correct
38 Correct 577 ms 8600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 8600 KB Output is correct
2 Correct 8 ms 8600 KB Output is correct
3 Correct 10 ms 8600 KB Output is correct
4 Correct 9 ms 8600 KB Output is correct
5 Correct 9 ms 8600 KB Output is correct
6 Correct 9 ms 8600 KB Output is correct
7 Correct 10 ms 8600 KB Output is correct
8 Correct 9 ms 8600 KB Output is correct
9 Correct 10 ms 8600 KB Output is correct
10 Correct 8 ms 8600 KB Output is correct
11 Correct 9 ms 8600 KB Output is correct
12 Correct 10 ms 8600 KB Output is correct
13 Correct 8 ms 8600 KB Output is correct
14 Correct 8 ms 8600 KB Output is correct
15 Correct 9 ms 8600 KB Output is correct
16 Correct 6 ms 8600 KB Output is correct
17 Correct 6 ms 8600 KB Output is correct
18 Correct 7 ms 8600 KB Output is correct
19 Correct 6 ms 8600 KB Output is correct
20 Correct 6 ms 8600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 597 ms 8224 KB Output is correct
2 Correct 551 ms 8300 KB Output is correct
3 Correct 551 ms 8440 KB Output is correct
4 Correct 546 ms 8440 KB Output is correct
5 Correct 541 ms 8440 KB Output is correct
6 Correct 282 ms 8460 KB Output is correct
7 Correct 275 ms 8464 KB Output is correct
8 Correct 257 ms 8464 KB Output is correct
9 Correct 269 ms 8464 KB Output is correct
10 Correct 259 ms 8464 KB Output is correct
11 Correct 250 ms 8464 KB Output is correct
12 Correct 267 ms 8464 KB Output is correct
13 Correct 250 ms 8464 KB Output is correct
14 Correct 241 ms 8464 KB Output is correct
15 Correct 275 ms 8464 KB Output is correct
16 Correct 99 ms 8464 KB Output is correct
17 Correct 105 ms 8464 KB Output is correct
18 Correct 115 ms 8464 KB Output is correct
19 Correct 132 ms 8464 KB Output is correct
20 Correct 112 ms 8464 KB Output is correct
21 Correct 504 ms 8464 KB Output is correct
22 Correct 438 ms 8464 KB Output is correct
23 Correct 463 ms 8464 KB Output is correct
24 Correct 388 ms 8464 KB Output is correct
25 Correct 396 ms 8464 KB Output is correct
26 Correct 375 ms 8464 KB Output is correct
27 Correct 464 ms 8464 KB Output is correct
28 Correct 405 ms 8464 KB Output is correct
29 Correct 411 ms 8464 KB Output is correct
30 Correct 313 ms 8492 KB Output is correct
31 Correct 262 ms 8492 KB Output is correct
32 Correct 277 ms 8492 KB Output is correct
33 Correct 264 ms 8492 KB Output is correct
34 Correct 294 ms 8492 KB Output is correct
35 Correct 593 ms 8492 KB Output is correct
36 Correct 573 ms 8492 KB Output is correct
37 Correct 561 ms 8600 KB Output is correct
38 Correct 577 ms 8600 KB Output is correct
39 Correct 10 ms 8600 KB Output is correct
40 Correct 8 ms 8600 KB Output is correct
41 Correct 10 ms 8600 KB Output is correct
42 Correct 9 ms 8600 KB Output is correct
43 Correct 9 ms 8600 KB Output is correct
44 Correct 9 ms 8600 KB Output is correct
45 Correct 10 ms 8600 KB Output is correct
46 Correct 9 ms 8600 KB Output is correct
47 Correct 10 ms 8600 KB Output is correct
48 Correct 8 ms 8600 KB Output is correct
49 Correct 9 ms 8600 KB Output is correct
50 Correct 10 ms 8600 KB Output is correct
51 Correct 8 ms 8600 KB Output is correct
52 Correct 8 ms 8600 KB Output is correct
53 Correct 9 ms 8600 KB Output is correct
54 Correct 6 ms 8600 KB Output is correct
55 Correct 6 ms 8600 KB Output is correct
56 Correct 7 ms 8600 KB Output is correct
57 Correct 6 ms 8600 KB Output is correct
58 Correct 6 ms 8600 KB Output is correct
59 Correct 441 ms 8600 KB Output is correct
60 Correct 482 ms 8600 KB Output is correct
61 Correct 521 ms 8600 KB Output is correct
62 Correct 470 ms 8600 KB Output is correct
63 Correct 498 ms 8600 KB Output is correct
64 Correct 474 ms 8600 KB Output is correct
65 Correct 448 ms 8600 KB Output is correct
66 Correct 491 ms 8600 KB Output is correct
67 Correct 563 ms 8600 KB Output is correct
68 Correct 493 ms 8600 KB Output is correct
69 Correct 450 ms 8600 KB Output is correct
70 Correct 426 ms 8600 KB Output is correct
71 Correct 431 ms 8600 KB Output is correct
72 Correct 574 ms 8628 KB Output is correct
73 Correct 436 ms 8628 KB Output is correct
74 Correct 103 ms 8628 KB Output is correct
75 Correct 111 ms 8628 KB Output is correct
76 Correct 103 ms 8628 KB Output is correct
77 Correct 114 ms 8628 KB Output is correct
78 Correct 103 ms 8628 KB Output is correct