# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
942754 | vjudge1 | Fibonacci representations (CEOI18_fib) | C++17 | 1 ms | 604 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define int long long
#define rnd(l, r) uniform_int_distribution<int>(l, r)(rng)
using namespace std;
void fp(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
int pow(int a,int b,int m){int ans=1;while(b){if(b&1){ans=(ans*a)%m;}b>>=1;a=(a*a)%m;}return ans;}
int binpow(int a,int b){int ans=1;while(b){if(b&1){ans=(ans*a);}b>>=1;a=(a*a);}return ans;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int N = 5005, mxc = 105, inf = 1e18, mod = 1e9 + 7;
vector <int> fib = {1, 2}, pref = {1, 3};
int ways(int x, int pos = 50){;
//system("pause");
if(pos == -1){
return (x == 0);
}
if(x < fib[pos])return ways(x, pos - 1);
if(pos >= 2 && (pos == 2 && x - fib[pos] == 0 || pos != 2 && x - fib[pos] <= fib[pos - 3]))
return (ways(x - fib[pos], pos - 3) * 2) % mod;
else
return ways(x - fib[pos], pos - 1) % mod;
}
main(){
iostream::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
for(int i = 3; i <= 120; i++){
fib.pb(fib[i - 2] + fib[i - 3]);
pref.pb(fib.back() + pref.back());
}
int n;
cin >> n;
vector <int> v(n + 1);
int cur = 0;
for(int i = 1; i <= n; i++){
cin >> v[i];
cur += fib[v[i] - 1];
//cout << fib[v[i] - 1] <<"-";
int res = ways(cur);
cout << res << endl;
}
}
/*
* Before implementing the problem:
Do I understand the problem correctly?
Which places are tricky? What do I need to remember to implement them correctly?
Which place is the heaviest by implementation? Can I do it simpler?
Which place is the slowest? Where do I need to be careful about constant factors and where I can choose slower but simpler implementation?
----------------------------------
If not AC:
Did you remember to do everything to handle the tricky places you thought about before?
Is the solution correct?
Do I understand the problem correctly?
----------------------------------
If you have a test on which the solution gives wrong answer:
Is the solution doing what it was supposed to do?
Is the problem in the code or in the idea?
*/
Compilation message (stderr)
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