#include <iostream>
#include <vector>
using namespace std;
vector<int> fib;
void gen_fib()
{
fib.push_back(0);
fib.push_back(1);
for(int i=0; i<45; ++i)
{
int x = fib[fib.size()-1];
int y = fib[fib.size()-2];
fib.push_back(x+y);
}
}
vector<pair<int,int>> rozklad(int k)
{
vector<pair<int,int>> res;
while(k)
{
int i=0;
while(fib[i]<=k)
{
++i;
}
//cout << fib[i-1] << endl;
res.push_back(make_pair(i-1,fib[i-1]));
k -= fib[i-1];
//cout << "k = " << k << endl;
//system("pause");
}
return res;
}
void print(vector<pair<int,int>> g)
{
cout << "Krawedzie:" << endl;
for(int i=0; i<g.size(); ++i)
{
cout << "(" << g[i].first << "," << g[i].second << ")" << endl;
}
cout << "---------------------------" << endl;
}
void swap_1n(vector<pair<int,int>>& g, int n)
{
for(int i=0; i<g.size(); ++i)
{
if(g[i].first == 1 || g[i].first == n)
g[i].first = n + 1 - g[i].first;
if(g[i].second == 1 || g[i].second == n)
g[i].second = n + 1 - g[i].second;
}
}
void gen_output(vector<pair<int,int>> g, int n)
{
vector<vector<int>> v(n+1);
for(int i=0; i<g.size(); ++i)
{
int u = g[i].first;
int w = g[i].second;
v[u].push_back(w);
}
//dodaj minus jedynki
for(int i=1; i<=n; ++i)
while(v[i].size()<2)
v[i].push_back(-1);
//wypisz rozwiazanie
cout << n << "\n";
for(int i=1; i<=n; ++i)
{
cout << v[i][0] << " " << v[i][1] << "\n";
}
}
int main()
{
gen_fib();
//cout << fib.back() << endl;
int k;
cin >> k;
vector<pair<int,int>> roz = rozklad(k);
//for(int i=0; i<roz.size(); ++i)
// cout << roz[i].first << "," << roz[i].second << "; ";
//cout << endl;
//int v = roz[0].first + roz.size() - 1;
//cout << v << endl;
vector<pair<int,int>> g;
g.push_back(make_pair(2,1)); // pierwsza krawedz
for(int i=3; i<=roz[0].first; ++i)
{
g.push_back(make_pair(i,i-1));
g.push_back(make_pair(i,i-2));
}
//print(g);
for(int i=1; i<roz.size(); ++i)
{
int u = roz[0].first + i;
int v = roz[i].first;
g.push_back(make_pair(u,u-1));
g.push_back(make_pair(u,v));
}
//print(g);
//cout << "n=" << g.back().first << endl;
int n = g.back().first;
swap_1n(g, n);
//print(g);
gen_output(g, n);
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 | #include <iostream> #include <vector> using namespace std; vector<int> fib; void gen_fib() { fib.push_back(0); fib.push_back(1); for(int i=0; i<45; ++i) { int x = fib[fib.size()-1]; int y = fib[fib.size()-2]; fib.push_back(x+y); } } vector<pair<int,int>> rozklad(int k) { vector<pair<int,int>> res; while(k) { int i=0; while(fib[i]<=k) { ++i; } //cout << fib[i-1] << endl; res.push_back(make_pair(i-1,fib[i-1])); k -= fib[i-1]; //cout << "k = " << k << endl; //system("pause"); } return res; } void print(vector<pair<int,int>> g) { cout << "Krawedzie:" << endl; for(int i=0; i<g.size(); ++i) { cout << "(" << g[i].first << "," << g[i].second << ")" << endl; } cout << "---------------------------" << endl; } void swap_1n(vector<pair<int,int>>& g, int n) { for(int i=0; i<g.size(); ++i) { if(g[i].first == 1 || g[i].first == n) g[i].first = n + 1 - g[i].first; if(g[i].second == 1 || g[i].second == n) g[i].second = n + 1 - g[i].second; } } void gen_output(vector<pair<int,int>> g, int n) { vector<vector<int>> v(n+1); for(int i=0; i<g.size(); ++i) { int u = g[i].first; int w = g[i].second; v[u].push_back(w); } //dodaj minus jedynki for(int i=1; i<=n; ++i) while(v[i].size()<2) v[i].push_back(-1); //wypisz rozwiazanie cout << n << "\n"; for(int i=1; i<=n; ++i) { cout << v[i][0] << " " << v[i][1] << "\n"; } } int main() { gen_fib(); //cout << fib.back() << endl; int k; cin >> k; vector<pair<int,int>> roz = rozklad(k); //for(int i=0; i<roz.size(); ++i) // cout << roz[i].first << "," << roz[i].second << "; "; //cout << endl; //int v = roz[0].first + roz.size() - 1; //cout << v << endl; vector<pair<int,int>> g; g.push_back(make_pair(2,1)); // pierwsza krawedz for(int i=3; i<=roz[0].first; ++i) { g.push_back(make_pair(i,i-1)); g.push_back(make_pair(i,i-2)); } //print(g); for(int i=1; i<roz.size(); ++i) { int u = roz[0].first + i; int v = roz[i].first; g.push_back(make_pair(u,u-1)); g.push_back(make_pair(u,v)); } //print(g); //cout << "n=" << g.back().first << endl; int n = g.back().first; swap_1n(g, n); //print(g); gen_output(g, n); } |
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