oj.uz

Submission #793031

# Submission time Handle Problem Language Result Execution time Memory
793031 2023-07-25T12:49:58 Z algorithm16 Boat (APIO16_boat) C++14
58 / 100
 2000 ms 15128 KB 
#include<iostream>
#include<cstring>
#include<vector>
#include<algorithm>
using namespace std;
int n,a[505],b[505],dp[1505][2][505][2],inv[505],m[1505][505],mod=1e9+7;
vector <int> v,v1;
vector <vector<int> > v2;
int sum(int a,int b) {
	return (a+b)%mod;
}
int mul(int a,int b) {
	return ((long long)a*b)%mod;
}
int exp(int a,int b) {
	if(!b) return 1;
	int ret=exp(a,b/2);
	if(b%2==0) return mul(ret,ret);
	return mul(mul(ret,ret),a);
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cin >> n;
	for(int i=0;i<n;i++) {
		cin >> a[i] >> b[i];
		v.push_back(a[i]);
		v.push_back(b[i]);
		v.push_back(b[i]+1);
	}
	sort(v.begin(),v.end());
	v.erase(unique(v.begin(),v.end()),v.end());
	/*for(int i=0;i<v.size()-1;i++) {
		cout << v[i] << " " << v[i+1]-1 << "\n";
	}*/
	/*for(int i=0;i<n;i++) {
		a[i]=lower_bound(v.begin(),v.end(),a[i])-v.begin();
		b[i]=lower_bound(v.begin(),v.end(),b[i])-v.begin();
	}*/
	for(int i=1;i<=n;i++) {
		inv[i]=exp(i,mod-2);
	}
	for(int i=0;i<v.size()-1;i++) {
		for(int j=0;j<=n;j++) {
			dp[i][n%2][j][0]=1;
			dp[i][n%2][j][1]=1;
		}
	}
	for(int i=0;i<v.size()-1;i++) {
		for(int j=0;j<n;j++) {
			m[i][j]=mul(v[i+1]-v[i]-j,inv[j+1]);
		}
	}
	for(int x=n-1;x>=0;x--) {
		for(int idx=v.size()-2;idx>=0;idx--) {
			for(int cnt=0;cnt<=x;cnt++) {
				for(int a1=0;a1<2;a1++) {
					int ret=0;
					if(!a1) ret=sum(ret,dp[idx][(x+1)%2][cnt][0]); // 0
					if(v[idx+1]-1<=b[x]) {
						if(v[idx]>=a[x] && v[idx+1]-1<=b[x]) {
							if(cnt<=v[idx+1]-1-v[idx]) ret=sum(ret,mul(dp[idx][(x+1)%2][cnt+1][0],m[idx][cnt]));
						}
						ret=sum(ret,dp[idx+1][x%2][0][1]);
					}
					dp[idx][x%2][cnt][a1]=ret;
					//cout << idx << " " << x << " " << cnt << " " << a1 << "  " << ret << "\n";
				}
			}
		}
	}
	cout << dp[0][0][0][0]-1;
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:44:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |  for(int i=0;i<v.size()-1;i++) {
      |              ~^~~~~~~~~~~
boat.cpp:50:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |  for(int i=0;i<v.size()-1;i++) {
      |              ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1102 ms 10216 KB Output is correct
2 Correct 1094 ms 10220 KB Output is correct
3 Correct 1094 ms 10212 KB Output is correct
4 Correct 1077 ms 10212 KB Output is correct
5 Correct 1091 ms 10220 KB Output is correct
6 Correct 1262 ms 10208 KB Output is correct
7 Correct 1259 ms 10216 KB Output is correct
8 Correct 1254 ms 10220 KB Output is correct
9 Correct 1255 ms 10216 KB Output is correct
10 Correct 1258 ms 10212 KB Output is correct
11 Correct 1257 ms 10232 KB Output is correct
12 Correct 1254 ms 10216 KB Output is correct
13 Correct 1262 ms 10208 KB Output is correct
14 Correct 1267 ms 10216 KB Output is correct
15 Correct 1255 ms 10220 KB Output is correct
16 Correct 167 ms 2004 KB Output is correct
17 Correct 179 ms 2212 KB Output is correct
18 Correct 176 ms 2136 KB Output is correct
19 Correct 175 ms 2132 KB Output is correct
20 Correct 177 ms 2156 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1102 ms 10216 KB Output is correct
2 Correct 1094 ms 10220 KB Output is correct
3 Correct 1094 ms 10212 KB Output is correct
4 Correct 1077 ms 10212 KB Output is correct
5 Correct 1091 ms 10220 KB Output is correct
6 Correct 1262 ms 10208 KB Output is correct
7 Correct 1259 ms 10216 KB Output is correct
8 Correct 1254 ms 10220 KB Output is correct
9 Correct 1255 ms 10216 KB Output is correct
10 Correct 1258 ms 10212 KB Output is correct
11 Correct 1257 ms 10232 KB Output is correct
12 Correct 1254 ms 10216 KB Output is correct
13 Correct 1262 ms 10208 KB Output is correct
14 Correct 1267 ms 10216 KB Output is correct
15 Correct 1255 ms 10220 KB Output is correct
16 Correct 167 ms 2004 KB Output is correct
17 Correct 179 ms 2212 KB Output is correct
18 Correct 176 ms 2136 KB Output is correct
19 Correct 175 ms 2132 KB Output is correct
20 Correct 177 ms 2156 KB Output is correct
21 Correct 1620 ms 13164 KB Output is correct
22 Correct 1600 ms 13292 KB Output is correct
23 Correct 1570 ms 13016 KB Output is correct
24 Correct 1573 ms 13100 KB Output is correct
25 Correct 1599 ms 13052 KB Output is correct
26 Correct 1710 ms 12296 KB Output is correct
27 Correct 1763 ms 12648 KB Output is correct
28 Correct 1716 ms 12400 KB Output is correct
29 Correct 1717 ms 12468 KB Output is correct
30 Correct 1838 ms 14648 KB Output is correct
31 Correct 1840 ms 14584 KB Output is correct
32 Correct 1830 ms 14596 KB Output is correct
33 Correct 1830 ms 14624 KB Output is correct
34 Correct 1822 ms 14556 KB Output is correct
35 Correct 1076 ms 10208 KB Output is correct
36 Correct 1088 ms 10316 KB Output is correct
37 Correct 1087 ms 10204 KB Output is correct
38 Correct 1104 ms 10196 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 3284 KB Output is correct
2 Correct 22 ms 3156 KB Output is correct
3 Correct 23 ms 3284 KB Output is correct
4 Correct 24 ms 3284 KB Output is correct
5 Correct 25 ms 3284 KB Output is correct
6 Correct 30 ms 3264 KB Output is correct
7 Correct 31 ms 3284 KB Output is correct
8 Correct 30 ms 3296 KB Output is correct
9 Correct 30 ms 3156 KB Output is correct
10 Correct 30 ms 3156 KB Output is correct
11 Correct 25 ms 3296 KB Output is correct
12 Correct 23 ms 3284 KB Output is correct
13 Correct 23 ms 3284 KB Output is correct
14 Correct 23 ms 3292 KB Output is correct
15 Correct 25 ms 3284 KB Output is correct
16 Correct 12 ms 1776 KB Output is correct
17 Correct 12 ms 1620 KB Output is correct
18 Correct 11 ms 1728 KB Output is correct
19 Correct 11 ms 1748 KB Output is correct
20 Correct 12 ms 1776 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1102 ms 10216 KB Output is correct
2 Correct 1094 ms 10220 KB Output is correct
3 Correct 1094 ms 10212 KB Output is correct
4 Correct 1077 ms 10212 KB Output is correct
5 Correct 1091 ms 10220 KB Output is correct
6 Correct 1262 ms 10208 KB Output is correct
7 Correct 1259 ms 10216 KB Output is correct
8 Correct 1254 ms 10220 KB Output is correct
9 Correct 1255 ms 10216 KB Output is correct
10 Correct 1258 ms 10212 KB Output is correct
11 Correct 1257 ms 10232 KB Output is correct
12 Correct 1254 ms 10216 KB Output is correct
13 Correct 1262 ms 10208 KB Output is correct
14 Correct 1267 ms 10216 KB Output is correct
15 Correct 1255 ms 10220 KB Output is correct
16 Correct 167 ms 2004 KB Output is correct
17 Correct 179 ms 2212 KB Output is correct
18 Correct 176 ms 2136 KB Output is correct
19 Correct 175 ms 2132 KB Output is correct
20 Correct 177 ms 2156 KB Output is correct
21 Correct 1620 ms 13164 KB Output is correct
22 Correct 1600 ms 13292 KB Output is correct
23 Correct 1570 ms 13016 KB Output is correct
24 Correct 1573 ms 13100 KB Output is correct
25 Correct 1599 ms 13052 KB Output is correct
26 Correct 1710 ms 12296 KB Output is correct
27 Correct 1763 ms 12648 KB Output is correct
28 Correct 1716 ms 12400 KB Output is correct
29 Correct 1717 ms 12468 KB Output is correct
30 Correct 1838 ms 14648 KB Output is correct
31 Correct 1840 ms 14584 KB Output is correct
32 Correct 1830 ms 14596 KB Output is correct
33 Correct 1830 ms 14624 KB Output is correct
34 Correct 1822 ms 14556 KB Output is correct
35 Correct 1076 ms 10208 KB Output is correct
36 Correct 1088 ms 10316 KB Output is correct
37 Correct 1087 ms 10204 KB Output is correct
38 Correct 1104 ms 10196 KB Output is correct
39 Correct 24 ms 3284 KB Output is correct
40 Correct 22 ms 3156 KB Output is correct
41 Correct 23 ms 3284 KB Output is correct
42 Correct 24 ms 3284 KB Output is correct
43 Correct 25 ms 3284 KB Output is correct
44 Correct 30 ms 3264 KB Output is correct
45 Correct 31 ms 3284 KB Output is correct
46 Correct 30 ms 3296 KB Output is correct
47 Correct 30 ms 3156 KB Output is correct
48 Correct 30 ms 3156 KB Output is correct
49 Correct 25 ms 3296 KB Output is correct
50 Correct 23 ms 3284 KB Output is correct
51 Correct 23 ms 3284 KB Output is correct
52 Correct 23 ms 3292 KB Output is correct
53 Correct 25 ms 3284 KB Output is correct
54 Correct 12 ms 1776 KB Output is correct
55 Correct 12 ms 1620 KB Output is correct
56 Correct 11 ms 1728 KB Output is correct
57 Correct 11 ms 1748 KB Output is correct
58 Correct 12 ms 1776 KB Output is correct
59 Execution timed out 2079 ms 15128 KB Time limit exceeded
60 Halted 0 ms 0 KB -