#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(abs(a),abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(vector &v){ sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp" namespace noya2{ struct Sieve { vector primes, factor, mu; Sieve (int N = 1024){ build(N); } void request(int N){ int len = n_max(); if (len >= N) return ; while (len < N) len <<= 1; build(len); } int n_max(){ return factor.size()-1; } private: void build (int N){ primes.clear(); factor.resize(N+1); fill(factor.begin(),factor.end(),0); mu.resize(N+1); fill(mu.begin(),mu.end(),1); for(int n = 2; n <= N; n++) { if (factor[n] == 0){ primes.push_back(n); factor[n] = n; mu[n] = -1; } for (int p : primes){ if(n * p > N || p > factor[n]) break; factor[n * p] = p; mu[n * p] = p == factor[n] ? 0 : -mu[n]; } } } } sieve; int mobius_sieve(int n){ assert(1 <= n && n <= sieve.n_max()); return sieve.mu[n]; } bool is_prime_sieve(int n){ if (n <= 2) return n == 2; assert(n <= sieve.n_max()); return sieve.factor[n] == n; } vector> prime_factorization_sieve(int n){ assert(1 <= n && n <= sieve.n_max()); vector facts; while (n > 1){ int p = sieve.factor[n]; facts.push_back(p); n /= p; } vector> pes; int siz = facts.size(); for (int l = 0, r = 0; l < siz; l = r){ while (r < siz && facts[r] == facts[l]) r++; pes.emplace_back(facts[l],r-l); } return pes; } vector divisor_enumeration_sieve(int n){ auto pes = prime_factorization_sieve(n); vector divs = {1}; for (auto [p, e] : pes){ vector nxt; nxt.reserve(divs.size() * (e+1)); for (auto x : divs){ for (int tt = 0; tt <= e; tt++){ nxt.push_back(x); x *= p; } } swap(divs,nxt); } return divs; } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/fenwick_tree.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/fenwick_tree.hpp" namespace noya2{ template struct fenwick_tree { public: fenwick_tree() : _n(0) {} explicit fenwick_tree(int n) : _n(n), data(n) {} void add(int p, T x) { assert(0 <= p && p < _n); p++; while (p <= _n) { data[p - 1] += x; p += p & -p; } } T sum(int l, int r) { assert(0 <= l && l <= r && r <= _n); return sum(r) - sum(l); } private: int _n; vector data; T sum(int r) { T s = 0; while (r > 0) { s += data[r - 1]; r -= r & -r; } return s; } }; } // namespace noya2 #line 5 "c.cpp" const ll mx = 1'000'000'000'000'000'000; void naive(vector a){ int n = a.size(); //out("naive"); cout << flush; a.resize(n+n-1); vector b(n+n-1,false); vector logs; ll mi = linf; vector ans; fenwick_tree fen(n+n); auto dfs = [&](auto sfs, int nxt) -> void { vector ids; rep(i,nxt) if (!b[i]) ids.emplace_back(i); if (nxt == n+n-1){ if (chmin(mi,a[ids[0]])){ ans = logs; } return ; } for (int i : ids) for (int j : ids){ if (i >= j) continue; if (gcd_fast(a[i],a[j]) == 1){ ll l = a[i]-1, r = a[j]-1; if (!(l <= mx/r)) continue; } b[i] = true; b[j] = true; int l = i - fen.sum(0,i); int r = j - fen.sum(0,j); logs.emplace_back(l+1,r+1); fen.add(i,1); fen.add(j,1); a[nxt] = (gcd_fast(a[i],a[j]) == 1 ? (a[i]-1)*(a[j]-1) : 0LL); sfs(sfs,nxt+1); b[i] = false; b[j] = false; logs.pop_back(); fen.add(i,-1); fen.add(j,-1); } }; dfs(dfs,n); //out("naive"); out(mi); rep(i,n-1) out(ans[i]); } void solve(){ sieve.request(200000); int n; in(n); vector a(n); in(a); a.resize(n+n-1); vector b(n+n-1,false); int cur = n; auto get = [&](int i, int j){ if (gcd_fast(a[i],a[j]) == 1) return (a[i]-1)*(a[j]-1); return 0LL; }; fenwick_tree fen(n+n); auto upd = [&](int i, int j){ assert(!b[i]); assert(!b[j]); //out(i,j); cout << flush; int l = i - fen.sum(0,i); int r = j - fen.sum(0,j); out(l+1,r+1); a[cur++] = get(i,j); b[i] = true, b[j] = true; fen.add(i,1); fen.add(j,1); }; auto say = [&](){ //out(cur); rep(i,n){ if (cur == n+n-1) break; if (b[i]) continue; upd(i,cur-1); } }; map mp; rep(i,n){ if (a[i] == 0){ out(0); int j = (i == 0 ? 1 : i-1); upd(i,j); say(); return ; } for (auto [p, e] : prime_factorization_sieve(a[i])){ if (mp.contains(p)){ out(0); //cout << flush; upd(i,mp[p]); say(); return ; } mp[p] = i; } } vector odds; rep(i,n) if (a[i] % 2 == 1) odds.emplace_back(i); if ((int)(odds.size()) >= 4){ out(0); upd(odds[0],odds[1]); upd(odds[2],odds[3]); upd(n,n+1); say(); return ; } assert(n <= 4); a.resize(n); naive(a); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }