#include using namespace std; bool s(int n) { if (n < 0) return false; int r = round(sqrt(n)); return r * r == n; } int main() { int n; cin >> n; if (n < 2) return 0; vector a(n + 1), b(n + 1); int w; for (w = 1; w <= 200; ++w) { vector u(201, 0); u[w] = 1; bool ok = true; for (int i = 3; i <= n; ++i) { bool fi = false; for (int va = 1; va <= 200; ++va) { if (u[va]) continue; for (int vb = 1; vb <= 200; ++vb) { if (va == vb || u[vb]) continue; if (!(s(va) || s(w + vb))) continue; if (!(s(vb) || s(w + va))) continue; bool okj = true; for (int j = 3; j < i; ++j) { if (!s(va + a[j]) && !s(vb + b[j]) && !s(va + w + b[j]) && !s(vb + w + a[j])) { okj = false; break; } } if (okj) { a[i] = va; b[i] = vb; u[va] = u[vb] = 1; fi = true; break; } } if (fi) break; } if (!fi) { ok = false; break; } } if (ok) break; } int m = (n == 2) ? 1 : 2 * n - 3; cout << m << endl; cout << "1 2 " << w << endl; for (int i = 3; i <= n; ++i) cout << "1 " << i << " " << a[i] << endl; for (int i = 3; i <= n; ++i) cout << "2 " << i << " " << b[i] << endl; for (int i = 1; i < n; ++i) { for (int j = i + 1; j <= n; ++j) { vector q; if (i == 1 && j == 2) { q = {1}; } else if (i == 1) { if (s(a[j])) q = {j - 1}; else q = {1, n + j - 3}; } else if (i == 2) { if (s(b[j])) q = {n + j - 3}; else q = {1, j - 1}; } else { if (s(a[i] + a[j])) q = {i - 1, j - 1}; else if (s(b[i] + b[j])) q = {n + i - 3, n + j - 3}; else if (s(a[i] + w + b[j])) q = {i - 1, 1, n + j - 3}; else q = {n + i - 3, 1, j - 1}; } cout << q.size(); for (int v : q) cout << " " << v; cout << endl; } } return 0; }