#line 2 "library/other/template.hpp"
#define _CRT_SECURE_NO_WARNINGS
#ifndef __clang__
#ifdef ONLINE_JUDGE
#pragma GCC target("avx512f")
#elif defined EVAL
#else
#pragma GCC target("avx2")
#endif
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <string.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define rep(i, n) for (int i = 0; i < int(n); i++)
#define REP(i, n) for (int i = 1; i <= int(n); i++)
#define all(V) V.begin(), V.end()

using i128 = __int128_t;
using u128 = __uint128_t;
using uint = unsigned int;
using lint = long long;
using ulint = unsigned long long;
using IP = std::pair<int, int>;
using LP = std::pair<lint, lint>;

constexpr int INF = INT_MAX / 2;
constexpr lint LINF = LLONG_MAX / 2;
constexpr double eps = DBL_EPSILON;
constexpr double PI = 3.141592653589793238462643383279;

template <class T>
class prique : public std::priority_queue<T, std::vector<T>, std::greater<T>> {
};
int popcount(uint x) {
#if __cplusplus >= 202002L
	return std::popcount(x);
#else
#ifndef __clang__
	return __builtin_popcount(x);
#endif
#endif
	x = (x & 0x55555555) + (x >> 1 & 0x55555555);
	x = (x & 0x33333333) + (x >> 2 & 0x33333333);
	x = (x & 0x0f0f0f0f) + (x >> 4 & 0x0f0f0f0f);
	x = (x & 0x00ff00ff) + (x >> 8 & 0x00ff00ff);
	return (x & 0x0000ffff) + (x >> 16 & 0x0000ffff);
}
template <class F>
inline constexpr decltype(auto) lambda_fix(F&& f) {
	return [f = std::forward<F>(f)](auto&&... args) {
		return f(f, std::forward<decltype(args)>(args)...);
	};
}
template <class T>
constexpr std::vector<T> make_vec(size_t n) {
	return std::vector<T>(n);
}
template <class T, class... Args>
constexpr auto make_vec(size_t n, Args&&... args) {
	return std::vector<decltype(make_vec<T>(args...))>(
		n, make_vec<T>(std::forward<Args>(args)...));
}
template <class T, class U>
constexpr inline bool chmax(T& lhs, const U& rhs) noexcept {
	if (lhs < rhs) {
		lhs = rhs;
		return true;
	}
	return false;
}
template <class T, class U>
constexpr inline bool chmin(T& lhs, const U& rhs) noexcept {
	if (lhs > rhs) {
		lhs = rhs;
		return true;
	}
	return false;
}
constexpr inline lint gcd(lint a, lint b) noexcept {
	while (b) {
		lint c = a;
		a = b;
		b = c % b;
	}
	return a;
}
inline lint lcm(lint a, lint b) noexcept { return a / gcd(a, b) * b; }
constexpr bool isprime(lint n) noexcept {
	if (n == 1) return false;
	for (int i = 2; i * i <= n; i++) {
		if (n % i == 0) return false;
	}
	return true;
}
template <class T>
constexpr T mypow(T a, lint b) noexcept {
	T res(1);
	while (true) {
		if (b & 1) res *= a;
		b >>= 1;
		if (!b) break;
		a *= a;
	}
	return res;
}
constexpr lint modpow(lint a, lint b, lint m) noexcept {
	a %= m;
	lint res(1);
	while (b) {
		if (b & 1) {
			res *= a;
			res %= m;
		}
		a *= a;
		a %= m;
		b >>= 1;
	}
	return res;
}
template <class T>
constexpr void printArray(const std::vector<T>& vec, char split = ' ') {
	rep(i, vec.size()) {
		std::cout << vec[i];
		std::cout << (i == (int)vec.size() - 1 ? '\n' : split);
	}
}
template <class InputIter>
constexpr void printArray(InputIter l, InputIter r, char split = ' ') {
	auto rprev = std::prev(r);
	for (auto i = l; i != r; i++) {
		std::cout << *i;
		std::cout << (i == rprev ? '\n' : split);
	}
}
LP extGcd(lint a, lint b) noexcept {
	if (b == 0) return {1, 0};
	LP s = extGcd(b, a % b);
	std::swap(s.first, s.second);
	s.second -= a / b * s.first;
	return s;
}
LP ChineseRem(const lint& b1, const lint& m1, const lint& b2,
			  const lint& m2) noexcept {
	auto p = extGcd(m1, m2);
	lint g = gcd(m1, m2), l = m1 / g * m2;
	lint tmp = (b2 - b1) / g * p.first % (m2 / g);
	lint r = (b1 + m1 * tmp + l) % l;
	return {r, l};
}
int LCS(const std::string& a, const std::string& b) {
	auto dp = make_vec<int>(a.size() + 1, b.size() + 1);
	rep(i, a.size()) {
		rep(j, b.size()) {
			chmax(dp[i + 1][j], dp[i][j]);
			chmax(dp[i][j + 1], dp[i][j]);
			if (a[i] == b[j]) chmax(dp[i + 1][j + 1], dp[i][j] + 1);
		}
		chmax(dp[i + 1][b.size()], dp[i][b.size()]);
	}
	rep(j, b.size()) chmax(dp[a.size()][j + 1], dp[a.size()][j]);
	return dp[a.size()][b.size()];
}
template <class T, std::enable_if_t<std::is_convertible<int, T>::value,
									std::nullptr_t> = nullptr>
void compress(std::vector<T>& vec) {
	auto tmp = vec;
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (T& i : vec) i = std::lower_bound(all(tmp), i) - tmp.begin();
}
template <class T>
void compress(T* l, T* r) {
	std::vector<T> tmp(l, r);
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (auto i = l; i < r; i++) {
		*i = std::lower_bound(all(tmp), *i) - tmp.begin();
	}
}
template <class InputIter>
void compress(InputIter l, InputIter r) {
	std::vector<typename InputIter::value_type> tmp(l, r);
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (auto i = l; i < r; i++) {
		*i = std::lower_bound(all(tmp), *i) - tmp.begin();
	}
}
#line 3 "library/data-structure/SegTree.hpp"
template <class T, T (*nodef)(const T&, const T&)>
class SegTree {
  protected:
	unsigned int n = 1, rank = 0;
	std::vector<T> node;
	T ident;

  public:
	SegTree(unsigned int m, T e_) : ident(e_) {
		while (n < m) {
			n *= 2;
			rank++;
		}
		node.resize(2 * n, ident);
	}
	SegTree(unsigned int m, T init, T e_) : ident(e_) {
		while (n < m) {
			n *= 2;
			rank++;
		}
		node.resize(2 * n, ident);
		for (unsigned int i = n; i < 2 * n; i++) node[i] = init;
		for (unsigned int i = n - 1; i > 0; i--)
			node[i] = nodef(node[i << 1], node[i << 1 | 1]);
	}
	template <class U>
	SegTree(const std::vector<U>& initvec, T e_) : ident(e_) {
		unsigned int m = initvec.size();
		while (n < m) {
			n *= 2;
			rank++;
		}
		node.resize(2 * n, ident);
		for (unsigned int i = n; i < 2 * n; i++) {
			if (i - n < m) node[i] = initvec[i - n];
		}
		for (unsigned int i = n - 1; i > 0; i--)
			node[i] = nodef(node[i << 1], node[i << 1 | 1]);
	}
	void update(int i, T x) {
		i += n;
		node[i] = x;
		while (i != 1) {
			i >>= 1;
			node[i] = nodef(node[2 * i], node[2 * i + 1]);
		}
	}
	T query(int l, int r) const {
		l += n;
		r += n;
		T ls = ident, rs = ident;
		while (l < r) {
			if (l & 1) ls = nodef(ls, node[l++]);
			if (r & 1) rs = nodef(node[--r], rs);
			l >>= 1;
			r >>= 1;
		}
		return nodef(ls, rs);
	}
	const T& operator[](const int& x) const { return node[n + x]; }
	T queryForAll() const { return node[1]; }

  private:
	template <class F>
	int max_right(int st, F& check, T& acc, int k, int l, int r) const {
		if (l + 1 == r) {
			acc = nodef(acc, node[k]);
			return check(acc) ? -1 : k - n;
		}
		int m = (l + r) >> 1;
		if (m <= st) return max_right(st, check, acc, (k << 1) | 1, m, r);
		if (st <= l && check(nodef(acc, node[k]))) {
			acc = nodef(acc, node[k]);
			return -1;
		}
		int vl = max_right(st, check, acc, k << 1, l, m);
		if (vl != -1) return vl;
		return max_right(st, check, acc, (k << 1) | 1, m, r);
	}

  public:
	template <class F>
	int max_right(int st, F check) const {
		T acc = ident;
		return max_right(st, check, acc, 1, 0, n);
	}
	template <bool (*check)(const T&)>
	int max_right(int st) const {
		T acc = ident;
		return max_right(st, check, acc, 1, 0, n);
	}
};
namespace {
	lint RSQ_nodef(const lint& lhs, const lint& rhs) {
		return lhs + rhs;
	}
	lint RMiQ_nodef(const lint& lhs, const lint& rhs) {
		return std::min(lhs, rhs);
	}
	lint RMaQ_nodef(const lint& lhs, const lint& rhs) {
		return std::max(lhs, rhs);
	}
}  // namespace

class RSQ : public SegTree<lint, RSQ_nodef> {
	using Base = SegTree<lint, RSQ_nodef>;

  public:
	template <class... Args>
	RSQ(Args&&... args) : Base(std::forward<Args>(args)..., 0) {}
};
class RMiQ : public SegTree<lint, RMiQ_nodef> {
	using Base = SegTree<lint, RMiQ_nodef>;

  public:
	template <class... Args>
	RMiQ(Args&&... args) : Base(std::forward<Args>(args)..., LINF) {}
};
class RMaQ : public SegTree<lint, RMaQ_nodef> {
	using Base = SegTree<lint, RMaQ_nodef>;

  public:
	template <class... Args>
	RMaQ(Args&&... args) : Base(std::forward<Args>(args)..., -LINF) {}
};

/**
 * @title Segment Tree
 */
#line 4 "library/data-structure/IntervalSegTree.hpp"
template <class T, class U, T (*nodef)(const T&, const T&),
		  void (*lazyf)(U&, const U&),
		  void (*updf)(T&, const U&, const unsigned int&)>
class IntervalSegTree : public SegTree<T, nodef> {
	using Base = SegTree<T, nodef>;
	using Base::ident;
	using Base::n;
	using Base::node;
	using Base::rank;
	std::vector<U> lazy;
	std::vector<bool> lazyflag;
	std::vector<int> width;
	void eval(int k) {
		for (int i = rank; i > 0; i--) {
			int nk = k >> i;
			if (lazyflag[nk]) {
				updf(node[2 * nk], lazy[nk], width[2 * nk]);
				updf(node[2 * nk + 1], lazy[nk], width[2 * nk + 1]);
				if (lazyflag[2 * nk])
					lazyf(lazy[2 * nk], lazy[nk]);
				else
					lazy[2 * nk] = lazy[nk];
				if (lazyflag[2 * nk + 1])
					lazyf(lazy[2 * nk + 1], lazy[nk]);
				else
					lazy[2 * nk + 1] = lazy[nk];
				lazyflag[2 * nk] = lazyflag[2 * nk + 1] = true;
				lazyflag[nk] = false;
			}
		}
	}

  public:
	IntervalSegTree(unsigned int m, T e_) : Base(m, T(), e_) {
		lazy.resize(2 * n);
		lazyflag.resize(2 * n);
		width.resize(2 * n);
		width[1] = n;
		for (unsigned int i = 2; i < 2 * n; i++) {
			width[i] = width[i >> 1] >> 1;
		}
	}
	IntervalSegTree(unsigned int m, T init, T e_) : Base(m, init, e_) {
		lazy.resize(2 * n);
		lazyflag.resize(2 * n);
		width.resize(2 * n);
		width[1] = n;
		for (unsigned int i = 2; i < 2 * n; i++) {
			width[i] = width[i >> 1] >> 1;
		}
	}
	IntervalSegTree(const std::vector<T>& initvec, T e_) : Base(initvec, e_) {
		lazy.resize(2 * n);
		lazyflag.resize(2 * n);
		width.resize(2 * n);
		width[1] = n;
		for (unsigned int i = 2; i < 2 * n; i++) {
			width[i] = width[i >> 1] >> 1;
		}
	}
	void update(int i, U x) {
		i += n;
		eval(i);
		updf(node[i], x, width[i]);
		if (lazyflag[i])
			lazyf(lazy[i], x);
		else {
			lazyflag[i] = true;
			lazy[i] = x;
		}
		while (i /= 2) node[i] = nodef(node[2 * i], node[2 * i + 1]);
	}
	void update(int l, int r, U x) {
		l += n, r += n;
		int nl = l, nr = r;
		while (!(nl & 1)) nl >>= 1;
		while (!(nr & 1)) nr >>= 1;
		nr--;
		eval(nl), eval(nr);
		while (l < r) {
			if (l & 1) {
				updf(node[l], x, width[l]);
				if (lazyflag[l])
					lazyf(lazy[l], x);
				else {
					lazyflag[l] = true;
					lazy[l] = x;
				}
				l++;
			}
			if (r & 1) {
				r--;
				updf(node[r], x, width[r]);
				if (lazyflag[r])
					lazyf(lazy[r], x);
				else {
					lazyflag[r] = true;
					lazy[r] = x;
				}
			}
			l >>= 1, r >>= 1;
		}
		while (nl >>= 1) node[nl] = nodef(node[2 * nl], node[2 * nl + 1]);
		while (nr >>= 1) node[nr] = nodef(node[2 * nr], node[2 * nr + 1]);
	}
	T query(int l, int r) {
		l += n, r += n, eval(l);
		eval(r - 1);
		T ls = ident, rs = ident;
		while (l < r) {
			if (l & 1) ls = nodef(ls, node[l++]);
			if (r & 1) rs = nodef(node[--r], rs);
			l >>= 1, r >>= 1;
		}
		return nodef(ls, rs);
	}
	T operator[](const int& x) {
		eval(n + x);
		return node[n + x];
	}

  private:
	template <class F>
	int max_right(int st, F& check, T& acc, int k, int l, int r) {
		eval(k);
		if (l + 1 == r) {
			acc = nodef(acc, node[k]);
			return check(acc) ? -1 : k - n;
		}
		int m = (l + r) >> 1;
		if (m <= st) return max_right(st, check, acc, (k << 1) | 1, m, r);
		if (st <= l && check(nodef(acc, node[k]))) {
			acc = nodef(acc, node[k]);
			return -1;
		}
		int vl = max_right(st, check, acc, k << 1, l, m);
		if (vl != -1) return vl;
		return max_right(st, check, acc, (k << 1) | 1, m, r);
	}

	template <class F>
	int min_left(int st, F& check, T& acc, int k, int l, int r) {
		eval(k);
		if (l + 1 == r) {
			acc = nodef(node[k], acc);
			return check(acc) ? -1 : k - n + 1;
		}
		int m = (l + r) >> 1;
		if (st <= m) return min_left(st, check, acc, k << 1, l, m);
		if (r <= st && check(nodef(node[k], acc))) {
			acc = nodef(node[k], acc);
			return -1;
		}
		int vr = min_left(st, check, acc, (k << 1) | 1, m, r);
		if (vr != -1) return vr;
		return min_left(st, check, acc, k << 1, l, m);
	}

  public:
	template <class F>
	int max_right(int st, F check) {
		T acc = ident;
		return max_right(st, check, acc, 1, 0, n);
	}
	template <bool (*check)(const T&)>
	int max_right(int st) {
		T acc = ident;
		return max_right(st, check, acc, 1, 0, n);
	}

	template <class F>
	int min_left(int st, F check) {
		T acc = ident;
		return min_left(st, check, acc, 1, 0, n);
	}
	template <bool (*check)(const T&)>
	int min_left(int st) {
		T acc = ident;
		return min_left(st, check, acc, 1, 0, n);
	}
};
namespace {
	lint RAQRSQ_nodef(const lint& a, const lint& b) { return a + b; }
	void RAQRSQ_lazyf(lint& a, const lint& b) { a += b; }
	void RAQRSQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a += width * b;
	}
	lint RAQRMiQ_nodef(const lint& a, const lint& b) { return std::min(a, b); }
	void RAQRMiQ_lazyf(lint& a, const lint& b) { a += b; }
	void RAQRMiQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a += b;
	}
	lint RAQRMaQ_nodef(const lint& a, const lint& b) { return std::max(a, b); }
	void RAQRMaQ_lazyf(lint& a, const lint& b) { a += b; }
	void RAQRMaQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a += b;
	}
	lint RUQRSQ_nodef(const lint& a, const lint& b) { return a + b; }
	void RUQRSQ_lazyf(lint& a, const lint& b) { a = b; }
	void RUQRSQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a = width * b;
	}
	lint RUQRMiQ_nodef(const lint& a, const lint& b) { return std::min(a, b); }
	void RUQRMiQ_lazyf(lint& a, const lint& b) { a = b; }
	void RUQRMiQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a = b;
	}
	lint RUQRMaQ_nodef(const lint& a, const lint& b) { return std::max(a, b); }
	void RUQRMaQ_lazyf(lint& a, const lint& b) { a = b; }
	void RUQRMaQ_updf(lint& a, const lint& b, const unsigned int& width) {
		a = b;
	}
}  // namespace

class RAQRSQ : public IntervalSegTree<lint, lint, RAQRSQ_nodef, RAQRSQ_lazyf,
									  RAQRSQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RAQRSQ_nodef, RAQRSQ_lazyf, RAQRSQ_updf>;

  public:
	template <class... Args>
	RAQRSQ(Args&&... args) : Base(std::forward<Args>(args)..., 0) {}
};
class RAQRMiQ : public IntervalSegTree<lint, lint, RAQRMiQ_nodef, RAQRMiQ_lazyf,
									   RAQRMiQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RAQRMiQ_nodef, RAQRMiQ_lazyf, RAQRMiQ_updf>;

  public:
	template <class... Args>
	RAQRMiQ(Args&&... args) : Base(std::forward<Args>(args)..., LINF) {}
};
class RAQRMaQ : public IntervalSegTree<lint, lint, RAQRMaQ_nodef, RAQRMaQ_lazyf,
									   RAQRMaQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RAQRMaQ_nodef, RAQRMaQ_lazyf, RAQRMaQ_updf>;

  public:
	template <class... Args>
	RAQRMaQ(Args&&... args) : Base(std::forward<Args>(args)..., -LINF) {}
};
class RUQRSQ : public IntervalSegTree<lint, lint, RUQRSQ_nodef, RUQRSQ_lazyf,
									  RUQRSQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RUQRSQ_nodef, RUQRSQ_lazyf, RUQRSQ_updf>;

  public:
	template <class... Args>
	RUQRSQ(Args&&... args) : Base(std::forward<Args>(args)..., 0) {}
};
class RUQRMiQ : public IntervalSegTree<lint, lint, RUQRMiQ_nodef, RUQRMiQ_lazyf,
									   RUQRMiQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RUQRMiQ_nodef, RUQRMiQ_lazyf, RUQRMiQ_updf>;

  public:
	template <class... Args>
	RUQRMiQ(Args&&... args) : Base(std::forward<Args>(args)..., LINF) {}
};
class RUQRMaQ : public IntervalSegTree<lint, lint, RUQRMaQ_nodef, RUQRMaQ_lazyf,
									   RUQRMaQ_updf> {
	using Base =
		IntervalSegTree<lint, lint, RUQRMaQ_nodef, RUQRMaQ_lazyf, RUQRMaQ_updf>;

  public:
	template <class... Args>
	RUQRMaQ(Args&&... args) : Base(std::forward<Args>(args)..., -LINF) {}
};

/**
 * @title Interval Segment Tree
 */
#line 3 "library/graph/UnionFind.hpp"
class UnionFind {
  protected:
	std::vector<int> par, size;

  public:
	UnionFind() {}
	UnionFind(int size) { init(size); }
	void init(int size) {
		par.resize(size);
		this->size.resize(size, 1);
		std::iota(all(par), 0);
	}
	int find(int n) {
		if (par[n] == n) return n;
		return par[n] = find(par[n]);
	}
	void unite(int n, int m) {
		n = find(n);
		m = find(m);
		if (n == m) return;
		int a = n, b = m;
		if (size[a] > size[b]) std::swap(a, b);
		par[a] = b;
		size[b] += size[a];
	}
	bool same(int n, int m) { return find(n) == find(m); }
	int getsize(int n) { return size[find(n)]; }
	bool is_root(int n) { return find(n) == n; }
};

/**
 * @title Disjoint set
 */
#line 4 "main.cpp"
int N, rev[200010];
std::vector<lint> P, A, ans;
int main() {
	std::cin >> N;
	P.resize(N + 2), A.resize(N + 2), ans.resize(N + 2);
	REP(i, N) {
		std::cin >> P[i];
		rev[P[i]] = i;
	}
	REP(i, N) std::cin >> A[i];
	RAQRSQ st1(P), st2(P);	// right, left
	UnionFind uf(N + 2);
	for (int i = N; i > 0; i--) {
		int l = 0, r = 0;
		if (rev[i] != 1 && P[rev[i] - 1] > i) l = uf.getsize(rev[i] - 1);
		if (rev[i] != N && i < P[rev[i] + 1]) r = uf.getsize(rev[i] + 1);
		if (i <= A[i]) {
			if (l < r) {
				int cur = i;
				int x = st1.max_right(rev[i] + 1,
									  [&](int v) { return v <= A[i] - cur; });
				if (x == -1)
					ans[i] += r + 1;
				else
					ans[i] += std::min(r + 1, x - rev[i]);
				for (int j = rev[i] - 1; j >= rev[i] - l; j--) {
					cur += P[j];
					if (cur > A[i]) break;
					int x = st1.max_right(
						rev[i] + 1, [&](int v) { return v <= A[i] - cur; });
					if (x == -1)
						ans[i] += r + 1;
					else
						ans[i] += std::min(r + 1, x - rev[i]);
				}
			} else {
				int cur = i;
				int x =
					st2.min_left(rev[i], [&](int v) { return v <= A[i] - cur; });
				if (x == -1)
					ans[i] += l + 1;
				else
					ans[i] += std::min(l + 1, rev[i] - x + 1);
				for (int j = rev[i] + 1; j <= rev[i] + r; j++) {
					cur += P[j];
					if (cur > A[i]) break;
					int x = st2.min_left(rev[i],
										 [&](int v) { return v <= A[i] - cur; });
					if (x == -1)
						ans[i] += l + 1;
					else
						ans[i] += std::min(l + 1, rev[i] - x + 1);
				}
			}
		}
		if (rev[i] != 1 && P[rev[i] - 1] > i) uf.unite(rev[i] - 1, rev[i]);
		if (rev[i] != N && i < P[rev[i] + 1]) uf.unite(rev[i], rev[i] + 1);
	}
	printArray(ans.begin() + 1, ans.begin() + N + 1, '\n');
	return 0;
}