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Submission #745237

# Submission time Handle Problem Language Result Execution time Memory
745237 2023-05-19T15:20:22 Z amirhoseinfar1385 Boat (APIO16_boat) C++11
100 / 100
 1734 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 131 ms 4172 KB Output is correct
2 Correct 137 ms 4332 KB Output is correct
3 Correct 134 ms 4224 KB Output is correct
4 Correct 130 ms 4212 KB Output is correct
5 Correct 133 ms 4172 KB Output is correct
6 Correct 134 ms 4160 KB Output is correct
7 Correct 133 ms 4160 KB Output is correct
8 Correct 134 ms 4192 KB Output is correct
9 Correct 134 ms 4172 KB Output is correct
10 Correct 138 ms 4140 KB Output is correct
11 Correct 133 ms 4172 KB Output is correct
12 Correct 132 ms 4240 KB Output is correct
13 Correct 132 ms 4172 KB Output is correct
14 Correct 128 ms 4228 KB Output is correct
15 Correct 139 ms 4172 KB Output is correct
16 Correct 29 ms 980 KB Output is correct
17 Correct 30 ms 1044 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 28 ms 1044 KB Output is correct
20 Correct 29 ms 1048 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 4172 KB Output is correct
2 Correct 137 ms 4332 KB Output is correct
3 Correct 134 ms 4224 KB Output is correct
4 Correct 130 ms 4212 KB Output is correct
5 Correct 133 ms 4172 KB Output is correct
6 Correct 134 ms 4160 KB Output is correct
7 Correct 133 ms 4160 KB Output is correct
8 Correct 134 ms 4192 KB Output is correct
9 Correct 134 ms 4172 KB Output is correct
10 Correct 138 ms 4140 KB Output is correct
11 Correct 133 ms 4172 KB Output is correct
12 Correct 132 ms 4240 KB Output is correct
13 Correct 132 ms 4172 KB Output is correct
14 Correct 128 ms 4228 KB Output is correct
15 Correct 139 ms 4172 KB Output is correct
16 Correct 29 ms 980 KB Output is correct
17 Correct 30 ms 1044 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 28 ms 1044 KB Output is correct
20 Correct 29 ms 1048 KB Output is correct
21 Correct 857 ms 4032 KB Output is correct
22 Correct 843 ms 4076 KB Output is correct
23 Correct 787 ms 4200 KB Output is correct
24 Correct 875 ms 3968 KB Output is correct
25 Correct 891 ms 3884 KB Output is correct
26 Correct 1215 ms 3736 KB Output is correct
27 Correct 1226 ms 3840 KB Output is correct
28 Correct 1255 ms 3688 KB Output is correct
29 Correct 1256 ms 3664 KB Output is correct
30 Correct 156 ms 4136 KB Output is correct
31 Correct 145 ms 4172 KB Output is correct
32 Correct 163 ms 4288 KB Output is correct
33 Correct 153 ms 4256 KB Output is correct
34 Correct 143 ms 4192 KB Output is correct
35 Correct 141 ms 4188 KB Output is correct
36 Correct 141 ms 4240 KB Output is correct
37 Correct 131 ms 4332 KB Output is correct
38 Correct 141 ms 4364 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 1108 KB Output is correct
2 Correct 9 ms 1108 KB Output is correct
3 Correct 9 ms 1108 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 1108 KB Output is correct
7 Correct 14 ms 1084 KB Output is correct
8 Correct 14 ms 1108 KB Output is correct
9 Correct 15 ms 1100 KB Output is correct
10 Correct 14 ms 1108 KB Output is correct
11 Correct 11 ms 1108 KB Output is correct
12 Correct 8 ms 1108 KB Output is correct
13 Correct 9 ms 1108 KB Output is correct
14 Correct 10 ms 1108 KB Output is correct
15 Correct 10 ms 1124 KB Output is correct
16 Correct 7 ms 724 KB Output is correct
17 Correct 5 ms 724 KB Output is correct
18 Correct 6 ms 724 KB Output is correct
19 Correct 5 ms 724 KB Output is correct
20 Correct 6 ms 776 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 4172 KB Output is correct
2 Correct 137 ms 4332 KB Output is correct
3 Correct 134 ms 4224 KB Output is correct
4 Correct 130 ms 4212 KB Output is correct
5 Correct 133 ms 4172 KB Output is correct
6 Correct 134 ms 4160 KB Output is correct
7 Correct 133 ms 4160 KB Output is correct
8 Correct 134 ms 4192 KB Output is correct
9 Correct 134 ms 4172 KB Output is correct
10 Correct 138 ms 4140 KB Output is correct
11 Correct 133 ms 4172 KB Output is correct
12 Correct 132 ms 4240 KB Output is correct
13 Correct 132 ms 4172 KB Output is correct
14 Correct 128 ms 4228 KB Output is correct
15 Correct 139 ms 4172 KB Output is correct
16 Correct 29 ms 980 KB Output is correct
17 Correct 30 ms 1044 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 28 ms 1044 KB Output is correct
20 Correct 29 ms 1048 KB Output is correct
21 Correct 857 ms 4032 KB Output is correct
22 Correct 843 ms 4076 KB Output is correct
23 Correct 787 ms 4200 KB Output is correct
24 Correct 875 ms 3968 KB Output is correct
25 Correct 891 ms 3884 KB Output is correct
26 Correct 1215 ms 3736 KB Output is correct
27 Correct 1226 ms 3840 KB Output is correct
28 Correct 1255 ms 3688 KB Output is correct
29 Correct 1256 ms 3664 KB Output is correct
30 Correct 156 ms 4136 KB Output is correct
31 Correct 145 ms 4172 KB Output is correct
32 Correct 163 ms 4288 KB Output is correct
33 Correct 153 ms 4256 KB Output is correct
34 Correct 143 ms 4192 KB Output is correct
35 Correct 141 ms 4188 KB Output is correct
36 Correct 141 ms 4240 KB Output is correct
37 Correct 131 ms 4332 KB Output is correct
38 Correct 141 ms 4364 KB Output is correct
39 Correct 10 ms 1108 KB Output is correct
40 Correct 9 ms 1108 KB Output is correct
41 Correct 9 ms 1108 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 1108 KB Output is correct
45 Correct 14 ms 1084 KB Output is correct
46 Correct 14 ms 1108 KB Output is correct
47 Correct 15 ms 1100 KB Output is correct
48 Correct 14 ms 1108 KB Output is correct
49 Correct 11 ms 1108 KB Output is correct
50 Correct 8 ms 1108 KB Output is correct
51 Correct 9 ms 1108 KB Output is correct
52 Correct 10 ms 1108 KB Output is correct
53 Correct 10 ms 1124 KB Output is correct
54 Correct 7 ms 724 KB Output is correct
55 Correct 5 ms 724 KB Output is correct
56 Correct 6 ms 724 KB Output is correct
57 Correct 5 ms 724 KB Output is correct
58 Correct 6 ms 776 KB Output is correct
59 Correct 1050 ms 4292 KB Output is correct
60 Correct 1002 ms 4256 KB Output is correct
61 Correct 989 ms 4312 KB Output is correct
62 Correct 1085 ms 4348 KB Output is correct
63 Correct 1028 ms 4240 KB Output is correct
64 Correct 1582 ms 4360 KB Output is correct
65 Correct 1603 ms 4300 KB Output is correct
66 Correct 1707 ms 4252 KB Output is correct
67 Correct 1734 ms 4168 KB Output is correct
68 Correct 1716 ms 4200 KB Output is correct
69 Correct 1055 ms 4244 KB Output is correct
70 Correct 1030 ms 4264 KB Output is correct
71 Correct 998 ms 4256 KB Output is correct
72 Correct 1008 ms 4428 KB Output is correct
73 Correct 1016 ms 4300 KB Output is correct
74 Correct 199 ms 1048 KB Output is correct
75 Correct 188 ms 1068 KB Output is correct
76 Correct 196 ms 1056 KB Output is correct
77 Correct 192 ms 1056 KB Output is correct
78 Correct 194 ms 1100 KB Output is correct