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Submission #745233

# Submission time Handle Problem Language Result Execution time Memory
745233 2023-05-19T15:14:44 Z amirhoseinfar1385 Boat (APIO16_boat) C++17
100 / 100
 1557 ms 4428 KB 
#include<bits/stdc++.h>
using namespace std;
int mod=1e9+7;
const int maxn=501;
long long dp[maxn*2+10][maxn+2];
long long ps[maxn*2+10];
int rev[maxn+10];
pair<int,int>all[maxn+10];
vector<int>allind;

long long mypow(long long m,long long y){
	if(y==0){
		return 1;
	}
	long long p=mypow(m,(y>>1));
	p*=p;
	p%=mod;
	if(y&1){
		p*=m;
		p%=mod;
	}
	return p;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n;
	cin>>n;
	for(int i=0;i<=n+5;i++){
		rev[i]=mypow(i,mod-2);
	}
	for(int i=1;i<=n;i++){
		cin>>all[i].first>>all[i].second;
		allind.push_back(all[i].second);
		allind.push_back(all[i].first-1);
	}
	allind.push_back(0);
	sort(allind.begin(),allind.end());
	allind.resize(unique(allind.begin(),allind.end())-allind.begin());
	int sz=(int)allind.size()+1;
	dp[0][0]=1;
	for(int i=0;i<sz+10;i++){
		ps[i]=1;
	}
	for(int i=1;i<=n;i++){
		int l=lower_bound(allind.begin(),allind.end(),all[i].first)-allind.begin();
		int r=lower_bound(allind.begin(),allind.end(),all[i].second)-allind.begin();
		for(int j=l;j<=r;j++){
			int cnt=allind[j]-allind[j-1];
			for(int h=n;h>=2;h--){
				dp[j][h]=(dp[j][h]+dp[j][h-1]*(cnt-(h-1))%mod*rev[h])%mod;
			}
			dp[j][1]=(dp[j][1]+ps[j-1]*cnt)%mod;
		}
		ps[0]=dp[0][0];
		for(int i=1;i<=sz+9;i++){
			ps[i]=ps[i-1];
			for(int h=0;h<=n;h++){
				ps[i]+=dp[i][h];
			}
			ps[i]%=mod;
		}
	}
	long long res=ps[sz+8];
	res+=mod-1;
	res%=mod;
	cout<<res<<"\n";
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 4160 KB Output is correct
2 Correct 138 ms 4204 KB Output is correct
3 Correct 129 ms 4168 KB Output is correct
4 Correct 137 ms 4216 KB Output is correct
5 Correct 140 ms 4248 KB Output is correct
6 Correct 138 ms 4172 KB Output is correct
7 Correct 133 ms 4236 KB Output is correct
8 Correct 131 ms 4180 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 135 ms 4252 KB Output is correct
11 Correct 138 ms 4212 KB Output is correct
12 Correct 130 ms 4252 KB Output is correct
13 Correct 150 ms 4256 KB Output is correct
14 Correct 139 ms 4256 KB Output is correct
15 Correct 152 ms 4248 KB Output is correct
16 Correct 28 ms 980 KB Output is correct
17 Correct 29 ms 1056 KB Output is correct
18 Correct 28 ms 1056 KB Output is correct
19 Correct 34 ms 1064 KB Output is correct
20 Correct 31 ms 1024 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 4160 KB Output is correct
2 Correct 138 ms 4204 KB Output is correct
3 Correct 129 ms 4168 KB Output is correct
4 Correct 137 ms 4216 KB Output is correct
5 Correct 140 ms 4248 KB Output is correct
6 Correct 138 ms 4172 KB Output is correct
7 Correct 133 ms 4236 KB Output is correct
8 Correct 131 ms 4180 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 135 ms 4252 KB Output is correct
11 Correct 138 ms 4212 KB Output is correct
12 Correct 130 ms 4252 KB Output is correct
13 Correct 150 ms 4256 KB Output is correct
14 Correct 139 ms 4256 KB Output is correct
15 Correct 152 ms 4248 KB Output is correct
16 Correct 28 ms 980 KB Output is correct
17 Correct 29 ms 1056 KB Output is correct
18 Correct 28 ms 1056 KB Output is correct
19 Correct 34 ms 1064 KB Output is correct
20 Correct 31 ms 1024 KB Output is correct
21 Correct 889 ms 4044 KB Output is correct
22 Correct 886 ms 3852 KB Output is correct
23 Correct 771 ms 3960 KB Output is correct
24 Correct 802 ms 3876 KB Output is correct
25 Correct 841 ms 3868 KB Output is correct
26 Correct 1095 ms 3796 KB Output is correct
27 Correct 1152 ms 4008 KB Output is correct
28 Correct 1117 ms 3768 KB Output is correct
29 Correct 1129 ms 3656 KB Output is correct
30 Correct 128 ms 4204 KB Output is correct
31 Correct 132 ms 4156 KB Output is correct
32 Correct 130 ms 4224 KB Output is correct
33 Correct 140 ms 4168 KB Output is correct
34 Correct 133 ms 4204 KB Output is correct
35 Correct 135 ms 4220 KB Output is correct
36 Correct 132 ms 4208 KB Output is correct
37 Correct 133 ms 4172 KB Output is correct
38 Correct 135 ms 4212 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 1120 KB Output is correct
2 Correct 8 ms 1108 KB Output is correct
3 Correct 9 ms 1120 KB Output is correct
4 Correct 10 ms 1108 KB Output is correct
5 Correct 10 ms 1108 KB Output is correct
6 Correct 15 ms 1076 KB Output is correct
7 Correct 14 ms 1088 KB Output is correct
8 Correct 14 ms 1108 KB Output is correct
9 Correct 14 ms 1104 KB Output is correct
10 Correct 14 ms 1124 KB Output is correct
11 Correct 11 ms 1120 KB Output is correct
12 Correct 8 ms 1108 KB Output is correct
13 Correct 10 ms 1128 KB Output is correct
14 Correct 10 ms 1108 KB Output is correct
15 Correct 10 ms 1236 KB Output is correct
16 Correct 6 ms 724 KB Output is correct
17 Correct 5 ms 724 KB Output is correct
18 Correct 6 ms 792 KB Output is correct
19 Correct 6 ms 724 KB Output is correct
20 Correct 6 ms 724 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 4160 KB Output is correct
2 Correct 138 ms 4204 KB Output is correct
3 Correct 129 ms 4168 KB Output is correct
4 Correct 137 ms 4216 KB Output is correct
5 Correct 140 ms 4248 KB Output is correct
6 Correct 138 ms 4172 KB Output is correct
7 Correct 133 ms 4236 KB Output is correct
8 Correct 131 ms 4180 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 135 ms 4252 KB Output is correct
11 Correct 138 ms 4212 KB Output is correct
12 Correct 130 ms 4252 KB Output is correct
13 Correct 150 ms 4256 KB Output is correct
14 Correct 139 ms 4256 KB Output is correct
15 Correct 152 ms 4248 KB Output is correct
16 Correct 28 ms 980 KB Output is correct
17 Correct 29 ms 1056 KB Output is correct
18 Correct 28 ms 1056 KB Output is correct
19 Correct 34 ms 1064 KB Output is correct
20 Correct 31 ms 1024 KB Output is correct
21 Correct 889 ms 4044 KB Output is correct
22 Correct 886 ms 3852 KB Output is correct
23 Correct 771 ms 3960 KB Output is correct
24 Correct 802 ms 3876 KB Output is correct
25 Correct 841 ms 3868 KB Output is correct
26 Correct 1095 ms 3796 KB Output is correct
27 Correct 1152 ms 4008 KB Output is correct
28 Correct 1117 ms 3768 KB Output is correct
29 Correct 1129 ms 3656 KB Output is correct
30 Correct 128 ms 4204 KB Output is correct
31 Correct 132 ms 4156 KB Output is correct
32 Correct 130 ms 4224 KB Output is correct
33 Correct 140 ms 4168 KB Output is correct
34 Correct 133 ms 4204 KB Output is correct
35 Correct 135 ms 4220 KB Output is correct
36 Correct 132 ms 4208 KB Output is correct
37 Correct 133 ms 4172 KB Output is correct
38 Correct 135 ms 4212 KB Output is correct
39 Correct 10 ms 1120 KB Output is correct
40 Correct 8 ms 1108 KB Output is correct
41 Correct 9 ms 1120 KB Output is correct
42 Correct 10 ms 1108 KB Output is correct
43 Correct 10 ms 1108 KB Output is correct
44 Correct 15 ms 1076 KB Output is correct
45 Correct 14 ms 1088 KB Output is correct
46 Correct 14 ms 1108 KB Output is correct
47 Correct 14 ms 1104 KB Output is correct
48 Correct 14 ms 1124 KB Output is correct
49 Correct 11 ms 1120 KB Output is correct
50 Correct 8 ms 1108 KB Output is correct
51 Correct 10 ms 1128 KB Output is correct
52 Correct 10 ms 1108 KB Output is correct
53 Correct 10 ms 1236 KB Output is correct
54 Correct 6 ms 724 KB Output is correct
55 Correct 5 ms 724 KB Output is correct
56 Correct 6 ms 792 KB Output is correct
57 Correct 6 ms 724 KB Output is correct
58 Correct 6 ms 724 KB Output is correct
59 Correct 1040 ms 4364 KB Output is correct
60 Correct 983 ms 4380 KB Output is correct
61 Correct 974 ms 4388 KB Output is correct
62 Correct 1042 ms 4172 KB Output is correct
63 Correct 1000 ms 4348 KB Output is correct
64 Correct 1534 ms 4328 KB Output is correct
65 Correct 1533 ms 4344 KB Output is correct
66 Correct 1557 ms 4344 KB Output is correct
67 Correct 1536 ms 4428 KB Output is correct
68 Correct 1521 ms 4292 KB Output is correct
69 Correct 935 ms 4268 KB Output is correct
70 Correct 995 ms 4276 KB Output is correct
71 Correct 956 ms 4400 KB Output is correct
72 Correct 989 ms 4332 KB Output is correct
73 Correct 986 ms 4272 KB Output is correct
74 Correct 192 ms 980 KB Output is correct
75 Correct 181 ms 1080 KB Output is correct
76 Correct 187 ms 1080 KB Output is correct
77 Correct 194 ms 1064 KB Output is correct
78 Correct 188 ms 1052 KB Output is correct