Project Euler #230: Fibonacci Words

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  • + 0 comments

    I could not test perfectly, but using my test data it is OK! If someone has test case's please share it to test! Thank You!

    #define ULLINT  unsigned long long int
    int main() {
        ULLINT fibt[93] = { 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 5527939700884757, 8944394323791464, 14472334024676221, 23416728348467685, 37889062373143906, 61305790721611591, 99194853094755497, 160500643816367088, 259695496911122585, 420196140727489673, 679891637638612258, 1100087778366101931, 1779979416004714189, 2880067194370816120, 4660046610375530309, 7540113804746346429, 12200160415121876738 };    
        
        int db;
        cin >> db;
        for( int idb=0 ; idb < db; idb++ ) {
            string A, B;
            long n;
            cin >> A >> B;
            cin >> n;
    
            int itemh = A.length();
    
            ULLINT k = n;
            ULLINT i = 2;
            ULLINT mintah = fibt[i] * itemh;
            while( k >= mintah ) {
                i++;
                mintah = fibt[i] * itemh;
            }
    
            do{
                mintah = fibt[i-2] * itemh;
                if( mintah < k ) {
                        mintah = fibt[i-2] * itemh;
                        k -= mintah;
                } else {
                        i--;
                }
                i--;
            }
            while( i > 1 );
    
            if( k > 0 ) k--;
    
            if( i == 0 )
                cout << A.substr( k, 1 ) << endl;
            else
                cout << B.substr( k, 1 ) << endl;
    
    }
    
    return 0;
    

    }

  • + 0 comments

    Using C++. What dos it mean: Compiler Message Success, buit red Test Case ? As I tested seems good.

  • + 0 comments

    I believe my algorithm below should be correct and it works for cases 1-21. But it is not optimized since it reports "time limit exceeded" for cases beyond 22... Any thoughts about it? Thanks!

    void findInd(vector <long long> &fib, long long &n, int &j){
        //Note that fib[j] = fib[j-2] + fib[j-1]
        //We need to confirm whether n is within fib[j-2] or fib[j-1]
        if (j==0 || j==1){
            return;
        }
        if (n > fib[j-2]){
            //n is beyond fib[j-2], so we chop off fib[j-2] from n
            //And look for new n within fib[j-1]
            n -= fib[j-2];
            j--;
            findInd(fib, n, j);
        }
        else{
            //n is within fib[j-2] 
            j = j-2;
            findInd(fib, n, j);
        }
    }
    char findChar(string sa, string sb, long long n){
        long long la = sa.length();
        long long lb = sb.length();
        if (n <= la){
            return(sa[n-1]);
        }
        if (n <= la + lb){
            string sc = sa + sb;
            return(sc[n-1]);
        }
        vector <long long> fib;
        fib.push_back(la);
        fib.push_back(lb);
        while(fib[fib.size()-1]<n){
            fib.push_back(fib[fib.size()-2]+fib[fib.size()-1]);
        }
        int j = fib.size()-1;
        findInd(fib, n, j);
        if (j==0){
            return sa[n-1];
        }
        else{
            return sb[n-1];
        }
    }
    
    int main() {
        /* Enter your code here. Read input from STDIN. Print output to STDOUT */
        int q;
        cin >> q;
        for (int i = 1; i <= q; i++){
            string sa, sb;
            long long n;
            cin >> sa >> sb >> n;
            cout<<findChar(sa, sb, n)<<endl;
        }
        return 0;
    }
    
  • + 0 comments

    I didn't understand anything

  • + 0 comments

    What is wrong in this code? Not even working for smaller inputs:

        #include <bits/stdc++.h>
    
        using namespace std;
    
        typedef long long ll;
        #define fast_cin()                    \
            ios_base::sync_with_stdio(false); \
            cin.tie(NULL);                    \
            cout.tie(NULL)
    
        void solve()
        {
            string a,b,res;
            ll n = 0;
            cin >> a >> b >> n;
            while (res.length()<n){
                res= a+b;
                a=b;
                b=res;
            }
            cout<<res[n+1]<<endl;
    
        }
        int main()
        {
            fast_cin();
            ll t;
            cin >> t;
            for (int it = 1; it <= t; it++)
            {
                solve();
            }
            return 0;
        }