CSES - Putka Open 2020 – 2/5 - Results
Submission details
Task:Torni
Sender:Olli
Submission time:2020-09-26 14:29:08 +0300
Language:C++11
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED15
#2ACCEPTED41
#3ACCEPTED44
Test results
testverdicttimegroup
#1ACCEPTED0.04 s1, 2, 3details
#2ACCEPTED0.04 s2, 3details
#3ACCEPTED0.04 s3details

Code

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

typedef long long ll;

const int M = 1e9 + 7;
const int N = 1e6 + 5;

ll ans[N];
ll s[N];
ll po[N];
ll s2[N];

int main() {
	po[0] = 1;
	po[1] = 1;
	for(int i = 2; i < N; ++i) {
		po[i] = 4*po[i-1];
		po[i] %= M;
	}

	ans[0] = 1;
	s[0] = 1;

	for(int i = 1; i < N; ++i) {
		if(i <= 3) {
			for(int j = 1; j < i; ++j) {
				s2[i] += po[j]*s[i-j-1];
				s2[i] %= M;
			}
		} else {
			s2[i] = s2[i-1]*4;
			s2[i] %= M;
			s2[i] += s[i-2];
			s2[i] %= M;
		}
		ans[i] = s[i-1] + s2[i] + po[i];
		ans[i] %= M;
		s[i] = s[i-1] + ans[i];
		s[i] %= M;
	}


	int t;
	cin >> t;
	for(int i = 1; i <= t; ++i) {
		int n;
		cin >> n;
		cout << ans[n] << "\n";
	}
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
10
1
2
3
4
...

correct output
2
8
34
148
650
...

user output
2
8
34
148
650
...

Test 2

Group: 2, 3

Verdict: ACCEPTED

input
100
1
2
3
4
...

correct output
2
8
34
148
650
...

user output
2
8
34
148
650
...

Test 3

Group: 3

Verdict: ACCEPTED

input
100
996306
650655
896240
821967
...

correct output
87350005
606189151
122595036
193572715
227926807
...

user output
87350005
606189151
122595036
193572715
227926807
...