int isFibonacci(long int n) { if(isPerfectSquare(5*n*n + 4) || isPerfectSquare(5*n*n - 4)) return 1; else return 0; }
bool isFibo(long long int n) { long long int r1=(5*n*n)+4; long long int r1=(5*n*n)-4; if(isPerfectSquare(r1)||isPerfectSquare(r2)) return true; else return false; }
int main() { ullong total = 0; for(long long x = 0; x <= 5; ++x) { for(long long y = 0; y <= 5; ++y) { if((isPerfectSquare(y)) && (isPerfectSquare(x)) && (isPerfectSquare(x+y))) { ++total; std::cout << '(' << x << ", " << y << ")\n"; } } } std::cout << total << "\nnCr: " << nCr(10, 5); }
int main() { ll x,y,z; // x>y>z for(ll i=1;;i++) { printf("i = %lld\n",i); ll sq1=i*i; for(ll j=1;;j++) { ll sq2=j*j; if((sq1+sq2)%2==0) { x=(sq1+sq2)/2; y=sq1-x; if(y<=0) break; if(x>y && y>0) { for(ll k=1;;k++) { ll sq3=k*k; z=sq3-x; if(z>0) { if(x>z && y>z) { if(isPerfectSquare(x-z) && isPerfectSquare(y-z) && isPerfectSquare(y+z)) { printf("x,y,z = %lld %lld %lld\n",x,y,z); printf("the answer is : %lld\n",(x+y+z)); return 0; } } else break; } } } } } } return 0; }
bool judgeSquareSum(int c) { if(c == 0) return true; int a = 1; while(a <= c / a) { int bSquare = c - a * a; if(isPerfectSquare(bSquare)) { return true; } a++; } return false; }
int helper(int n, vector<int> & D){ if(D[n]<INT_MAX) return D[n]; if(isPerfectSquare(n)){ D[n] = 1; return 1; } int min_perfect_sq = n; // worst case 1+1+.. for(int k=1; (k*k)<=n; k++){ min_perfect_sq = min(min_perfect_sq, helper(n-k*k, D)+1); } D[n] = min_perfect_sq; return min_perfect_sq; }
int put_max_numbers() { int vretorno = 1; bool matched = true; while(matched) { matched = false; for(int i = 0; i < n_pegs ; i++) { if((pegs[i] == 0) || isPerfectSquare(pegs[i] + vretorno)) { pegs[i] = vretorno; vretorno++; matched = true; break; } } } return vretorno; }
bool EulerUtility::isPentagonal(llui n) { return isPerfectSquare((24 * n) + 1) && ((llui)sqrt((24 * n) + 1) + 1) % 6 == 0; }
bool isFibonacci(int n) { return isPerfectSquare(5 * n * n + 4) || isPerfectSquare(5 * n * n - 4); }