#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 998244353; //constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; template void chmin(T& a, T b) { a = min(a, b); } template void chmax(T& a, T b) { a = max(a, b); } template void cinarray(vector& v) { rep(i, v.size())cin >> v[i]; } template void coutarray(vector& v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; //if (x == 0)return 0; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { int n; modint() :n(0) { ; } modint(ll m) { if (m < 0 || mod <= m) { m %= mod; if (m < 0)m += mod; } n = m; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } bool operator<(modint a, modint b) { return a.n < b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 20; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } ll gcd(ll a, ll b) { a = abs(a); b = abs(b); if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } typedef long double ld; typedef pair LDP; const ld eps = 1e-8; const ld pi = acosl(-1.0); template void addv(vector& v, int loc, T val) { if (loc >= v.size())v.resize(loc + 1, 0); v[loc] += val; } /*const int mn = 100005; bool isp[mn]; vector ps; void init() { fill(isp + 2, isp + mn, true); for (int i = 2; i < mn; i++) { if (!isp[i])continue; ps.push_back(i); for (int j = 2 * i; j < mn; j += i) { isp[j] = false; } } }*/ //[,val) template auto prev_itr(set& st, T val) { auto res = st.lower_bound(val); if (res == st.begin())return st.end(); res--; return res; } //[val,) template auto next_itr(set& st, T val) { auto res = st.lower_bound(val); return res; } using mP = pair; string drul = "DRUL"; //DRUL int dx[4] = { 1,0,-1,0 }; int dy[4] = { 0,1,0,-1 }; //----------------------------------------- template struct BIT { private: vector node; int n; public: BIT(int n_) { n = n_; node.resize(n, 0); } //0-indexed void add(int a, T w) { for (int i = a; i < n; i |= i + 1)node[i] += w; } //[0,a) T sum(int a) { T ret = 0; for (int i = a - 1; i >= 0; i = (i & (i + 1)) - 1)ret += node[i]; return ret; } //[a,b) T sum(int a, int b) { return sum(b) - sum(a); } }; template struct SegT { private: int sz; vector node; T init_c; function f; public: SegT(vector v, T _init_c, function _f) { init_c = _init_c; f = _f; int n = v.size(); sz = 1; while (sz < n)sz *= 2; node.resize(2 * sz - 1, init_c); rep(i, n) { node[i + sz - 1] = v[i]; } per(i, sz - 1) { node[i] = f(node[2 * i + 1], node[2 * i + 2]); } } SegT(int n, T _init_c, function _f) { init_c = _init_c; f = _f; sz = 1; while (sz < n)sz *= 2; node.resize(2 * sz - 1, init_c); } void update(int k, T a) { k += sz - 1; node[k] = a; while (k > 0) { k = (k - 1) / 2; node[k] = f(node[k * 2 + 1], node[k * 2 + 2]); } } T query(int a, int b, int k = 0, int l = 0, int r = -1) { if (r < 0)r = sz; if (r <= a || b <= l)return init_c; else if (a <= l && r <= b)return node[k]; else { T vl = query(a, b, k * 2 + 1, l, (l + r) / 2); T vr = query(a, b, k * 2 + 2, (l + r) / 2, r); return f(vl, vr); } } //k以上でf(x,node[y+sz-1])をtrueにするような最小のy int searchloc(int le, T x, function comp) { int k = le + sz - 1; if (comp(x, node[k]))return le; x = f(x, node[k]); while (k > 0) { int mem = k; k = (k - 1) / 2; if (2 * k + 1 == mem) { if (comp(x, node[2 * k + 2])) { k = 2 * k + 2; break; } x = f(x, node[2 * k + 2]); } } if (k == 0)return sz; while (k < sz - 1) { if (comp(x, node[2 * k + 1])) { k = 2 * k + 1; } else { x = f(x, node[2 * k + 1]); k = 2 * k + 2; } } return k - (sz - 1); } }; struct Data { int len; int val[2]; }; Data e = { 0,{-1,-1} }; void solve() { auto merge = [&](Data a, Data b) { if (a.len % 2) { swap(b.val[0], b.val[1]); } Data res; res.len = a.len + b.len; rep(j, 2) { if (a.val[j] >= 0) { res.val[j] = a.val[j]; } else { res.val[j] = b.val[j]; } } return res; }; int n; cin >> n; vector p(n); rep(i, n)cin >> p[i]; vector rev(n + 1); rep(i, n)rev[p[i]] = i; vector pre(n+1); BIT bt(n); rep1(i, n) { int loc = rev[i]; pre[i] = bt.sum(0, loc) % 2; bt.add(loc, 1); } auto f = [&](int a, int b) {return min(a, b); }; vector oriev(n,mod),oriod(n,mod); rep1(i, n) { int loc = rev[i]; if (pre[i] == 0)oriev[loc] = i; else oriod[loc] = i; } SegT stev(oriev, mod, f), stod(oriod, mod, f); vector can(n + 1); vector par(n + 1); can[0] = true; vector> dec(n + 1); SegTst(n, e, merge); rep1(i, n) { for (int id : dec[i]) { st.update(rev[id], { 1,{-1,-1} }); } stev.update(rev[i], mod); stod.update(rev[i], mod); if (can[i - 1]) { int loc = rev[i]; int ri = mod; chmin(ri, stod.query(0, loc)); chmin(ri, stev.query(loc + 1, n)); //cout << i << " " << ri << "\n"; if(ri<=n)dec[ri].push_back(i); st.update(loc, { 1,{i - 1,-1} }); } else { st.update(rev[i], { 1,{-1,-1} }); } Data d = st.query(0, n); if (d.val[0] >= 0) { can[i] = true; par[i] = d.val[0]; } } //coutarray(can); //coutarray(par); if (!can[n]) { cout << "No\n"; return; } vector ansid; int cur = n; while (cur > 0) { int p = par[cur]; ansid.push_back(p + 1); for (int i = cur; i > p + 1; i--) { ansid.push_back(i); } cur = p; } reverse(all(ansid)); cout << "Yes\n"; BIT btcur(n); rep(i, n) { int id = ansid[i]; int loc = btcur.sum(0, rev[id])+1; cout << id << " " << loc << "\n"; btcur.add(rev[id], 1); } } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //init(); //while(true) //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }