#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long LL; typedef double D; #define all(v) (v).begin(), (v).end() mt19937 gene(233); typedef complex Complex; #define fi first #define se second #define ins insert #define pb push_back inline char GET_CHAR(){ const int maxn = 131072; static char buf[maxn],*p1=buf,*p2=buf; return p1==p2&&(p2=(p1=buf)+fread(buf,1,maxn,stdin),p1==p2)?EOF:*p1++; } inline int getInt() { int res(0); char c = getchar(); while(c < '0') c = getchar(); while(c >= '0') { res = res * 10 + (c - '0'); c = getchar(); } return res; } inline LL fastpo(LL x, LL n, LL mod) { LL res(1); while(n) { if(n & 1) { res = res * (LL)x % mod; } x = x * (LL) x % mod; n /= 2; } return res; } LL gcd(LL a, LL b) { return b ? gcd(b, a % b) : a; } inline string itoa(int x, int width = 0) { string res; if(x == 0) res.push_back('0'); while(x) { res.push_back('0' + x % 10); x /= 10; } while((int)res.size() < width) res.push_back('0'); reverse(res.begin(), res.end()); return res; } const int _B = 131072; char buf[_B]; int _bl = 0; inline void flush() { fwrite(buf, 1, _bl, stdout); _bl = 0; } __inline void _putchar(char c) { if(_bl == _B) flush(); buf[_bl++] = c; } inline void print(LL x, char c) { static char tmp[20]; int l = 0; if(!x) tmp[l++] = '0'; else { while(x) { tmp[l++] = x % 10 + '0'; x /= 10; } } for(int i = l - 1; i >= 0; i--) _putchar(tmp[i]); _putchar(c); } struct P { D x, y; }; const int N = 300033; const int LOG = 20; const int mod = 1e9 + 7; const int inf = 1e9 + 7; int n, m; int dx[4] = {1, 0, -1, 0}; int dy[4] = {0, 1, 0, -1}; int main() { int n; scanf("%d", &n); int sum = 0; vector > v; for(int i = 1; i < n; i++) { v.pb({i, i}); sum += i; } if(n % 2 == 1) v.pb({(n / 2 + sum) % 2 == 1 ? n / 2 + 1 : n / 2, n}); else v.pb({n / 2, n}); sort(all(v)); vector > ans; while(!v.empty()) { //for(int i = 0; i < (int)v.size(); i++) printf("[%d %d]", v[i].fi, v[i].se); //printf("\n"); auto t1 = v.back(); v.pop_back(); for(int j = v.size() - 1; t1.fi && j >= 0; j--) { ans.pb({t1.se, v[j].se}); v[j].fi--; t1.fi--; } sort(all(v)); } printf("%d\n", ans.size()); for(auto i : ans) printf("%d %d\n", i.fi, i.se); }