#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 #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #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; using LP = std::pair; constexpr int INF = INT_MAX / 2; constexpr lint LINF = LLONG_MAX / 2; constexpr double eps = DBL_EPSILON; constexpr double PI = 3.141592653589793238462643383279; template class prique : public std::priority_queue, std::greater> { }; 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 inline constexpr decltype(auto) lambda_fix(F&& f) { return [f = std::forward(f)](auto&&... args) { return f(f, std::forward(args)...); }; } template constexpr std::vector make_vec(size_t n) { return std::vector(n); } template constexpr auto make_vec(size_t n, Args&&... args) { return std::vector(args...))>( n, make_vec(std::forward(args)...)); } template constexpr inline bool chmax(T& lhs, const U& rhs) noexcept { if (lhs < rhs) { lhs = rhs; return true; } return false; } template 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 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 constexpr void printArray(const std::vector& vec, char split = ' ') { rep(i, vec.size()) { std::cout << vec[i]; std::cout << (i == (int)vec.size() - 1 ? '\n' : split); } } template 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(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 ::value, std::nullptr_t> = nullptr> void compress(std::vector& 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 void compress(T* l, T* r) { std::vector 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 void compress(InputIter l, InputIter r) { std::vector 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/graph/UnionFind.hpp" class UnionFind { protected: std::vector 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 3 "library/other/FastIO.hpp" namespace FastIO { static constexpr size_t buf_size = 1 << 18; static constexpr size_t integer_size = 19; static char inbuf[buf_size + 1] = {}; static char outbuf[buf_size + 1] = {}; class Scanner { size_t pos = 0, end = buf_size; void load() { end = fread(inbuf, 1, buf_size, stdin); inbuf[end] = '\0'; } void ignore_space() { while (inbuf[pos] <= ' ') { if (__builtin_expect(++pos == end, 0)) reload(); } } char next() { return inbuf[pos++]; } char next_nonspace() { ignore_space(); return inbuf[pos++]; } public: Scanner() { load(); } void reload() { size_t length = end - pos; memmove(inbuf, inbuf + pos, length); end = length + fread(inbuf + length, 1, buf_size - length, stdin); inbuf[end] = '\0'; pos = 0; } void scan() {} void scan(char& c) { c = next_nonspace(); } void scan(std::string& s) { ignore_space(); s = ""; do { size_t start = pos; while (inbuf[pos] > ' ') pos++; s += std::string(inbuf + start, inbuf + pos); if (inbuf[pos] != '\0') break; reload(); } while (true); } template ::value, std::nullptr_t> = nullptr> void scan(T& x) { char c = next_nonspace(); if (__builtin_expect(pos + integer_size >= end, 0)) reload(); bool minus = false; if (c == '-') minus = true, x = 0; else x = c & 15; while ((c = next()) >= '0') x = x * 10 + (c & 15); if (minus) x = -x; } template void scan(T& x, Args&... args) { scan(x); scan(args...); } template Scanner& operator>>(T& x) { scan(x); return *this; } }; class Printer { static constexpr size_t block_size = 10000; static const std::unique_ptr block_str; size_t pos = 0; static constexpr lint powers[] = {1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000}; static std::unique_ptr precompute() { std::unique_ptr res(new char[block_size * 4]); rep(i, block_size) { size_t j = 4, k = i; while (j--) { res[i * 4 + j] = k % 10 + '0'; k /= 10; } } return res; } template size_t integer_digits(T n) { if (n >= powers[9]) { if (n >= powers[13]) { if (n >= powers[16]) { if (n >= powers[17]) { if (n >= powers[18]) return 19; return 18; } return 17; } if (n >= powers[14]) { if (n >= powers[15]) return 16; return 15; } return 14; } if (n >= powers[11]) { if (n >= powers[12]) return 13; return 12; } if (n >= powers[10]) return 11; return 10; } if (n >= powers[4]) { if (n >= powers[7]) { if (n >= powers[8]) return 9; return 8; } if (n >= powers[5]) { if (n >= powers[6]) return 7; return 6; } return 5; } if (n >= powers[2]) { if (n >= powers[3]) return 4; return 3; } if (n >= powers[1]) return 2; return 1; } public: Printer() = default; ~Printer() { flush(); } void flush() { fwrite(outbuf, 1, pos, stdout); pos = 0; } void print() {} void print(char c) { outbuf[pos++] = c; if (__builtin_expect(pos == buf_size, 0)) flush(); } void print(char* s) { while (*s != 0) { outbuf[pos++] = *s++; if (pos == buf_size) flush(); } } template ::value, std::nullptr_t> = nullptr> void print(T x) { if (__builtin_expect(pos + integer_size >= buf_size, 0)) flush(); if (x < 0) print('-'), x = -x; size_t digit = integer_digits(x); size_t len = digit; while (len >= 4) { len -= 4; memcpy(outbuf + pos + len, block_str.get() + (x % block_size) * 4, 4); x /= 10000; } memcpy(outbuf + pos, block_str.get() + x * 4 + 4 - len, len); pos += digit; } template void print(const T& x, const Args&... args) { print(x); print(' '); print(args...); } template void println(const Args&... args) { print(args...); print('\n'); } template Printer& operator<<(const T& x) { print(x); return *this; } }; const std::unique_ptr Printer::block_str = Printer::precompute(); }; // namespace FastIO /** * @title Fast IO library */ #line 4 "main.cpp" int N, rev[200010]; lint cum[200010]; std::vector P, A, ans; FastIO::Scanner cin; FastIO::Printer cout; int main() { cin >> N; P.resize(N + 1), A.resize(N + 1), ans.resize(N + 1); REP(i, N) { cin >> P[i]; rev[P[i]] = i; cum[i] = P[i]; } REP(i, N - 1) cum[i + 1] += cum[i]; REP(i, N) cin >> A[i]; 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 (l < r) { for (int j = rev[i]; j >= rev[i] - l; j--) { int x = std::upper_bound(cum, cum + N + 1, A[i] + cum[j - 1]) - cum; ans[i] += std::min(r + 1, std::max(0, x - rev[i])); } } else { for (int j = rev[i]; j <= rev[i] + r; j++) { int x = std::lower_bound(cum, cum + N + 1, cum[j] - A[i]) - cum; ans[i] += std::min(l + 1, std::max(0, rev[i] - x)); } } 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); } REP(i, N) cout << ans[i] << '\n'; return 0; }