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Submission #745225

# Submission time Handle Problem Language Result Execution time Memory
745225 2023-05-19T15:09:20 Z amirhoseinfar1385 Boat (APIO16_boat) C++17
58 / 100
 1615 ms 5964 KB 
#include<bits/stdc++.h>
using namespace std;
int mod=1e9+7;
const int maxn=501;
long long dp[maxn*3][maxn];
long long ps[maxn*3];
int rev[maxn+10];

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);
	}
	vector<pair<int,int>>all(n+1);
	vector<int>allind;
	for(int i=1;i<=n;i++){
		cin>>all[i].first>>all[i].second;
		allind.push_back(all[i].first);
		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 125 ms 4220 KB Output is correct
2 Correct 132 ms 4216 KB Output is correct
3 Correct 133 ms 4268 KB Output is correct
4 Correct 128 ms 4220 KB Output is correct
5 Correct 125 ms 4260 KB Output is correct
6 Correct 141 ms 4176 KB Output is correct
7 Correct 129 ms 4172 KB Output is correct
8 Correct 154 ms 4232 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 125 ms 4180 KB Output is correct
11 Correct 126 ms 4192 KB Output is correct
12 Correct 131 ms 4252 KB Output is correct
13 Correct 125 ms 4172 KB Output is correct
14 Correct 125 ms 4172 KB Output is correct
15 Correct 127 ms 4144 KB Output is correct
16 Correct 26 ms 1004 KB Output is correct
17 Correct 28 ms 1080 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 27 ms 1084 KB Output is correct
20 Correct 27 ms 1024 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 4220 KB Output is correct
2 Correct 132 ms 4216 KB Output is correct
3 Correct 133 ms 4268 KB Output is correct
4 Correct 128 ms 4220 KB Output is correct
5 Correct 125 ms 4260 KB Output is correct
6 Correct 141 ms 4176 KB Output is correct
7 Correct 129 ms 4172 KB Output is correct
8 Correct 154 ms 4232 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 125 ms 4180 KB Output is correct
11 Correct 126 ms 4192 KB Output is correct
12 Correct 131 ms 4252 KB Output is correct
13 Correct 125 ms 4172 KB Output is correct
14 Correct 125 ms 4172 KB Output is correct
15 Correct 127 ms 4144 KB Output is correct
16 Correct 26 ms 1004 KB Output is correct
17 Correct 28 ms 1080 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 27 ms 1084 KB Output is correct
20 Correct 27 ms 1024 KB Output is correct
21 Correct 1190 ms 5520 KB Output is correct
22 Correct 1162 ms 5560 KB Output is correct
23 Correct 1126 ms 5628 KB Output is correct
24 Correct 1202 ms 5452 KB Output is correct
25 Correct 1199 ms 5368 KB Output is correct
26 Correct 1536 ms 5124 KB Output is correct
27 Correct 1557 ms 5204 KB Output is correct
28 Correct 1615 ms 5148 KB Output is correct
29 Correct 1581 ms 5180 KB Output is correct
30 Correct 200 ms 5964 KB Output is correct
31 Correct 197 ms 5884 KB Output is correct
32 Correct 192 ms 5924 KB Output is correct
33 Correct 202 ms 5924 KB Output is correct
34 Correct 201 ms 5964 KB Output is correct
35 Correct 133 ms 4252 KB Output is correct
36 Correct 135 ms 4188 KB Output is correct
37 Correct 137 ms 4176 KB Output is correct
38 Correct 140 ms 4364 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 1500 KB Output is correct
2 Correct 12 ms 1492 KB Output is correct
3 Correct 13 ms 1492 KB Output is correct
4 Correct 14 ms 1504 KB Output is correct
5 Correct 15 ms 1508 KB Output is correct
6 Correct 19 ms 1488 KB Output is correct
7 Correct 21 ms 1472 KB Output is correct
8 Correct 20 ms 1492 KB Output is correct
9 Correct 21 ms 1480 KB Output is correct
10 Correct 21 ms 1492 KB Output is correct
11 Correct 15 ms 1620 KB Output is correct
12 Correct 14 ms 1492 KB Output is correct
13 Correct 13 ms 1508 KB Output is correct
14 Correct 14 ms 1476 KB Output is correct
15 Correct 14 ms 1504 KB Output is correct
16 Correct 7 ms 852 KB Output is correct
17 Correct 7 ms 852 KB Output is correct
18 Correct 7 ms 852 KB Output is correct
19 Correct 6 ms 852 KB Output is correct
20 Correct 7 ms 852 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 4220 KB Output is correct
2 Correct 132 ms 4216 KB Output is correct
3 Correct 133 ms 4268 KB Output is correct
4 Correct 128 ms 4220 KB Output is correct
5 Correct 125 ms 4260 KB Output is correct
6 Correct 141 ms 4176 KB Output is correct
7 Correct 129 ms 4172 KB Output is correct
8 Correct 154 ms 4232 KB Output is correct
9 Correct 127 ms 4176 KB Output is correct
10 Correct 125 ms 4180 KB Output is correct
11 Correct 126 ms 4192 KB Output is correct
12 Correct 131 ms 4252 KB Output is correct
13 Correct 125 ms 4172 KB Output is correct
14 Correct 125 ms 4172 KB Output is correct
15 Correct 127 ms 4144 KB Output is correct
16 Correct 26 ms 1004 KB Output is correct
17 Correct 28 ms 1080 KB Output is correct
18 Correct 28 ms 1036 KB Output is correct
19 Correct 27 ms 1084 KB Output is correct
20 Correct 27 ms 1024 KB Output is correct
21 Correct 1190 ms 5520 KB Output is correct
22 Correct 1162 ms 5560 KB Output is correct
23 Correct 1126 ms 5628 KB Output is correct
24 Correct 1202 ms 5452 KB Output is correct
25 Correct 1199 ms 5368 KB Output is correct
26 Correct 1536 ms 5124 KB Output is correct
27 Correct 1557 ms 5204 KB Output is correct
28 Correct 1615 ms 5148 KB Output is correct
29 Correct 1581 ms 5180 KB Output is correct
30 Correct 200 ms 5964 KB Output is correct
31 Correct 197 ms 5884 KB Output is correct
32 Correct 192 ms 5924 KB Output is correct
33 Correct 202 ms 5924 KB Output is correct
34 Correct 201 ms 5964 KB Output is correct
35 Correct 133 ms 4252 KB Output is correct
36 Correct 135 ms 4188 KB Output is correct
37 Correct 137 ms 4176 KB Output is correct
38 Correct 140 ms 4364 KB Output is correct
39 Correct 14 ms 1500 KB Output is correct
40 Correct 12 ms 1492 KB Output is correct
41 Correct 13 ms 1492 KB Output is correct
42 Correct 14 ms 1504 KB Output is correct
43 Correct 15 ms 1508 KB Output is correct
44 Correct 19 ms 1488 KB Output is correct
45 Correct 21 ms 1472 KB Output is correct
46 Correct 20 ms 1492 KB Output is correct
47 Correct 21 ms 1480 KB Output is correct
48 Correct 21 ms 1492 KB Output is correct
49 Correct 15 ms 1620 KB Output is correct
50 Correct 14 ms 1492 KB Output is correct
51 Correct 13 ms 1508 KB Output is correct
52 Correct 14 ms 1476 KB Output is correct
53 Correct 14 ms 1504 KB Output is correct
54 Correct 7 ms 852 KB Output is correct
55 Correct 7 ms 852 KB Output is correct
56 Correct 7 ms 852 KB Output is correct
57 Correct 6 ms 852 KB Output is correct
58 Correct 7 ms 852 KB Output is correct
59 Runtime error 4 ms 1364 KB Execution killed with signal 11
60 Halted 0 ms 0 KB -