#include "bits/stdc++.h"
using namespace std;
using LL = long long;
#define FOR(i, l, r) for(int i = (l); i <= (r); ++i)
#define REP(i, n) FOR(i, 0, (n) - 1)
template<class T> int size(T &&x) {
return int(x.size());
}
template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) {
return out << '(' << p.first << ", " << p.second << ')';
}
template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) {
out << '{';
for(auto it = x.begin(); it != x.end(); ++it)
out << *it << (it == prev(x.end()) ? "" : ", ");
return out << '}';
}
void dump() {}
template<class T, class... Args> void dump(T &&x, Args... args) {
cerr << x << "; ";
dump(args...);
}
#ifdef DEBUG
struct Nl{~Nl(){cerr << '\n';}};
# define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << ""
#else
# define debug(...) 0 && cerr
#endif
mt19937_64 rng(0);
int rd(int l, int r) {
return uniform_int_distribution<int>(l, r)(rng);
}
// end of templates
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int k; cin >> k;
//cout << k << '\n';
vector<pair<int, int>> graph(100, pair<int, int>{-1, -1});
vector<int> fib(46);
fib[0] = 1;
fib[1] = 1;
FOR(i, 2, 45) fib[i] = fib[i-1] + fib[i-2];
debug(fib);
FOR(i, 3, 45) graph[i] = {i, i-1};
debug(graph);
vector<int> layer;
for(int i = 45; i > 0; --i) {
if(k - fib[i] >= 0) {
k -= fib[i];
layer.emplace_back(i+1);
}
}
debug(layer);
int last = 47;
vector<int> temp;
while(size(layer) > 2) {
temp.clear();
REP(i, size(layer)/2) {
graph[last] = {layer[2*i], layer[2*i+1]};
temp.emplace_back(last+1);
++last;
}
if(size(layer)&1) {
graph[last] = {layer.back(), -1};
temp.emplace_back(last+1);
++last;
}
layer = temp;
}
if(size(layer) == 1) graph[0] = {layer[0], -1};
else graph[0] = {layer[0], layer[1]};
graph[1] = {last+1, -1};
graph[2] = {2, last+1};
++last;
cout << last << '\n';
REP(i, last)
cout << graph[i].first << ' ' << graph[i].second << '\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 | #include "bits/stdc++.h" using namespace std; using LL = long long; #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define REP(i, n) FOR(i, 0, (n) - 1) template<class T> int size(T &&x) { return int(x.size()); } template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) { return out << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) { out << '{'; for(auto it = x.begin(); it != x.end(); ++it) out << *it << (it == prev(x.end()) ? "" : ", "); return out << '}'; } void dump() {} template<class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #ifdef DEBUG struct Nl{~Nl(){cerr << '\n';}}; # define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << "" #else # define debug(...) 0 && cerr #endif mt19937_64 rng(0); int rd(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } // end of templates int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int k; cin >> k; //cout << k << '\n'; vector<pair<int, int>> graph(100, pair<int, int>{-1, -1}); vector<int> fib(46); fib[0] = 1; fib[1] = 1; FOR(i, 2, 45) fib[i] = fib[i-1] + fib[i-2]; debug(fib); FOR(i, 3, 45) graph[i] = {i, i-1}; debug(graph); vector<int> layer; for(int i = 45; i > 0; --i) { if(k - fib[i] >= 0) { k -= fib[i]; layer.emplace_back(i+1); } } debug(layer); int last = 47; vector<int> temp; while(size(layer) > 2) { temp.clear(); REP(i, size(layer)/2) { graph[last] = {layer[2*i], layer[2*i+1]}; temp.emplace_back(last+1); ++last; } if(size(layer)&1) { graph[last] = {layer.back(), -1}; temp.emplace_back(last+1); ++last; } layer = temp; } if(size(layer) == 1) graph[0] = {layer[0], -1}; else graph[0] = {layer[0], layer[1]}; graph[1] = {last+1, -1}; graph[2] = {2, last+1}; ++last; cout << last << '\n'; REP(i, last) cout << graph[i].first << ' ' << graph[i].second << '\n'; } |
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