#include // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,abm,mmx,avx,avx2") #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--) #define all(x) (x).begin(), (x).end() #define sz(x) int(x.size()) #define yn(joken) cout<<((joken) ? "Yes" : "No")<<"\n" #define YN(joken) cout<<((joken) ? "YES" : "NO")<<"\n" using namespace std; using ll = long long; using vi = vector; using vl = vector; using vs = vector; using vc = vector; using vd = vector; using vld = vector; using vvi = vector>; using vvl = vector>; using vvs = vector>; using vvc = vector>; using vvd = vector>; using vvld = vector>; using vvvi = vector>>; using vvvl = vector>>; using vvvvi = vector>>>; using vvvvl = vector>>>; using pii = pair; using pll = pair; const int INF = 1e9; const ll LINF = 2e18; template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } bool ispow2(int i) { return i && (i & -i) == i; } bool ispow2(ll i) { return i && (i & -i) == i; } template vector make_vec(size_t a) { return vector(a); } template auto make_vec(size_t a, Ts... ts) { return vector(ts...))>(a, make_vec(ts...)); } template istream& operator>>(istream& is, vector& v) { for (int i = 0; i < int(v.size()); i++) { is >> v[i]; } return is; } template ostream& operator<<(ostream& os, const vector& v) { for (int i = 0; i < int(v.size()); i++) { os << v[i]; if (i < int(v.size()) - 1) os << ' '; } return os; } static uint32_t RandXor(){ static uint32_t x=123456789; static uint32_t y=362436069; static uint32_t z=521288629; static uint32_t w=88675123; uint32_t t; t=x^(x<<11); x=y; y=z; z=w; return w=(w^(w>>19))^(t^(t>>8)); } static double Rand01(){ return (RandXor()+0.5)*(1.0/UINT_MAX); } vl X,A; // merge(x,y):mergeする,未併合ならtrueが,併合済みならfalseが返ってくる // leader(x):xの根を返す // size(x):xの属する集合のサイズを返す // same(x,y):x,yが同じ集合に属するかどうか // groups():各集合に含まれる要素を返す struct dsu{ public: int _n; // root node: -1 * component size // otherwise: parent vector parent_or_size,R; dsu() : _n(0) {} dsu(int n) : _n(n), parent_or_size(n, -1), R(n) { iota(all(R),0); } int merge(int a, int b){ assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y); if(X[R[x]]+A[R[x]]>X[R[y]]+A[R[y]]) ; else R[x]=R[y]; parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b){ assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a){ assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a){ assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } vector> groups(){ vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++){ leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } vector> result(_n); for (int i = 0; i < _n; i++){ result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++){ result[leader_buf[i]].push_back(i); } result.erase( remove_if(result.begin(), result.end(), [&](const vector &v) { return v.empty(); }), result.end()); return result; } }; void solve(){ ll N; cin>>N; X.resize(N); A.resize(N); cin>>X>>A; map mp; rep(i,N) mp[X[i]]=i; set S; rep(i,N) S.insert(X[i]); dsu UF(N); rep(i,N){ if(S.find(X[i]+A[i])!=S.end()) UF.merge(mp[X[i]],mp[X[i]+A[i]]); if(S.find(X[i]-A[i])!=S.end()) UF.merge(mp[X[i]],mp[X[i]-A[i]]); } rep(i,N){ int idx=UF.R[UF.leader(i)]; cout<