#include using namespace std; using pii = pair; using ll = long long; const int N = 2000010, MOD = 998244353, INF = 0x3f3f3f3f; int n, m, w[N]; int a[N], b[N]; void solve() { set st; for (int i = 1; i <= 333; i++) st.insert(i * i); scanf("%d", &n); printf("%d\n", n * 2 - 3); int idx = 0; for (int i = 2; i < n + 1; i++) printf("%d %d %d\n", i - 1, i, 1), a[i] = ++idx; for (int i = 3; i < n + 1; i++) printf("%d %d %d\n", i - 1, i, i & 1 ? 3 : 2), b[i] = ++idx; for (int i = 1; i < n + 1; i++) for (int j = i + 1; j < n + 1; j++) { auto g = st.lower_bound(j - i); int c = (*g - (j - i)); printf("%d ", j - i); int sum = 0; for (int k = i + 1; k <= j; k++) { if (c && k != 2) { if (c > 1 && (k & 1)) c -= 2, printf("%d ", b[k]), sum += 3; else if ((k & 1 ^ 1) && (c & 1)) c--, printf("%d ", b[k]), sum += 2; else printf("%d ", a[k]), sum++; } else printf("%d ", a[k]), sum++; } puts(""); assert(st.count(sum) && c == 0); } } int main() { int T = 1; // cin >> T; while (T--) solve(); return 0; }