// Generated by include.py
// Jakub Staroń, 2016
// For more info see https://github.com/staronj/ProgrammingContestsLibrary




#include <iostream>
#include <sstream>
#include <iterator>
#include <type_traits>
#include <algorithm>
#include <memory>
#include <utility>
#include <functional>
#include <bitset>
#include <vector>
#include <array>
#include <list>
#include <deque>
#include <queue>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <cinttypes>
#include <ctime>
#include <cctype>
#include <cstring>
#include <random>
#include <cassert>

namespace lib {

using int8    = std::int8_t;
using uint8   = std::uint8_t;
using int16   = std::int16_t;
using uint16  = std::uint16_t;
using int32   = std::int32_t;
using uint32  = std::uint32_t;
using int64   = std::int64_t;
using uint64  = std::uint64_t;


std::knuth_b Random(time(0));


uint32 Random32() {
  return Random();
}


uint64 Random64() {
  return uint64(Random32()) << 32 | uint64(Random32());
}

#ifdef __SIZEOF_INT128__
#define HAVE_INT128_TYPES
#endif

#define USE_INT128_TYPES_IF_AVAILABLE 0

#if defined(HAVE_INT128_TYPES) && USE_INT128_TYPES_IF_AVAILABLE
#define USE_INT128_TYPES
#endif

#ifdef USE_INT128_TYPES
using int128 = __int128;
using uint128 = unsigned __int128;
#endif

using bit_vector = std::vector<bool>;

using char_pair     = std::pair<char, char>;
using bool_pair     = std::pair<bool, bool>;
using int32_pair    = std::pair<int32, int32>;
using uint32_pair   = std::pair<uint32, uint32>;
using int64_pair    = std::pair<int64, int64>;
using uint64_pair   = std::pair<uint64, uint64>;

} 





namespace lib {


template <typename T>
inline T operator++(T& obj, int) {
  T temp = obj;
  ++obj;
  return temp;
}


template <typename T>
inline T operator--(T& obj, int) {
  T temp = obj;
  --obj;
  return temp;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator+=(T& obj, Integral n) {
  obj = obj + n;
  return obj;
}


template <typename T>
inline T& operator+=(T& obj1, const T& obj2) {
  obj1 = obj1 + obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator-=(T& obj, Integral n) {
  obj = obj - n;
  return obj;
}


template <typename T>
inline T& operator-=(T& obj1, const T& obj2) {
  obj1 = obj1 - obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator*=(T& obj, Integral n) {
  obj = obj * n;
  return obj;
}


template <typename T>
inline T& operator*=(T& obj1, const T& obj2) {
  obj1 = obj1 * obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator%=(T& obj, Integral n) {
  obj = obj % n;
  return obj;
}


template <typename T>
inline T& operator%=(T& obj1, const T& obj2) {
  obj1 = obj1 % obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T>::type
operator+(Integral n, const T& obj) {
  return obj + n;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T>::type
operator*(Integral n, const T& obj) {
  return obj * n;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_signed<Integral>::value, T>::type
operator-(const T& obj, Integral n) {
  return obj + (-n);
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_signed<Integral>::value, T&>::type
operator-=(const T& obj, Integral n) {
  return obj += (-n);
}


template <typename T>
inline bool operator>(const T& lhs, const T& rhs) {
  return rhs < lhs;
}


template <typename T>
inline bool operator<=(const T& lhs, const T& rhs) {
  return !(rhs < lhs);
}


template <typename T>
inline bool operator>=(const T& lhs, const T& rhs) {
  return rhs <= lhs;
}


template <typename T>
inline bool operator!=(const T& lhs, const T& rhs) {
  return !(lhs == rhs);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator+(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first + rhs.first, lhs.second + rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator-(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first - rhs.first, lhs.second - rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator%(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first % rhs.first, lhs.second % rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator*(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first * rhs.first, lhs.second * rhs.second);
}


template <typename Integral1, typename Integral2, typename Integral3>
constexpr std::pair<Integral1, Integral2> operator%(const std::pair<Integral1, Integral2>& lhs, const Integral3& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first % rhs, lhs.second % rhs);
}


template <typename Integral1, typename Integral2, typename Integral3>
constexpr std::pair<Integral1, Integral2> operator*(const std::pair<Integral1, Integral2>& lhs, const Integral3& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first * rhs, lhs.second * rhs);
}


} 

namespace lib {


template<typename Iterator>
struct is_iterator {
private:
  template<typename I> static constexpr auto test(int)
  -> decltype(
      *std::declval<const I>(),
      std::declval<const I>() == std::declval<const I>(),
      std::declval<const I>() != std::declval<const I>(),
      ++ std::declval<I&>(),
      std::declval<I&>() ++,
      std::iterator_traits<I>(),
      bool()) { return
        std::is_destructible<I>::value;
  }

  template<typename I> static constexpr bool test(...) { return false; }

public:
  static constexpr bool value = test<Iterator>(0);
};


template<typename T>
struct is_iterable {
  template <typename C>
  using begin_t = decltype(std::begin(std::declval<C&>()));

  template <typename C>
  using end_t = decltype(std::end(std::declval<C&>()));

  template<typename I> static constexpr auto test(int)
  -> decltype(
      std::declval<begin_t<I>>(),
      std::declval<end_t<I>>(),
      bool()) { return
        std::is_same<begin_t<I>, end_t<I>>::value &&
        is_iterator<begin_t<I>>::value;
  }

  template<typename I> static constexpr bool test(...) { return false; }

public:
  static constexpr bool value = test<T>(0);
};


template <typename Integral>
class counting_iterator {
public:
  static_assert(std::is_integral<Integral>::value, "counting_iterator's template argument should be integral");
  using self_type = counting_iterator;
  using value_type = Integral;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = typename std::make_signed<Integral>::type;
  using iterator_category = std::random_access_iterator_tag;

  counting_iterator(): value_() { }

  explicit counting_iterator(Integral n): value_(n) { }

  reference operator*() const {
    return value_;
  }

  self_type& operator++() {
    ++value_;
    return *this;
  }

  self_type& operator--() {
    --value_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    value_ += n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.value_ + n);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ - rhs.value_;
  }

  value_type operator[](difference_type n) {
    return value_type(value_ + n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ < rhs.value_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ == rhs.value_;
  }

private:
  Integral value_;
};


template <typename Integral>
auto make_counting_iterator(Integral n) -> counting_iterator<Integral> {
  return counting_iterator<Integral>(n);
}


template <typename Integral>
class reverse_counting_iterator {
public:
  static_assert(std::is_integral<Integral>::value, "reverse_counting_iterator's template argument should be integral");
  using self_type = reverse_counting_iterator;
  using value_type = Integral;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = typename std::make_signed<Integral>::type;
  using iterator_category = std::random_access_iterator_tag;

  reverse_counting_iterator(): value_() { }

  explicit reverse_counting_iterator(Integral n): value_(n) { }

  reference operator*() const {
    return value_;
  }

  self_type& operator++() {
    --value_;
    return *this;
  }

  self_type& operator--() {
    ++value_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    value_ -= n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.value_ - n);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return rhs.value_ - lhs.value_;
  }

  value_type operator[](difference_type n) {
    return value_type(value_ - n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return rhs.value_ < lhs.value_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ == rhs.value_;
  }

private:
  Integral value_;
};


template <typename Integral>
auto make_reverse_counting_iterator(Integral n) -> reverse_counting_iterator<Integral> {
  return reverse_counting_iterator<Integral>(n);
}


template <typename Iterator>
class iterator_range {
public:
  using iterator_type = Iterator;
  using reference = const Iterator&;

  static_assert(is_iterator<Iterator>::value, "iterator_range's template argument should be iterator!");

  explicit iterator_range(Iterator begin, Iterator end):
      begin_(std::move(begin)), end_(std::move(end)) { }

  reference begin() const {
    return begin_;
  }

  reference end() const {
    return end_;
  }

private:
  iterator_type begin_;
  iterator_type end_;
};


template <typename Iterator>
auto make_range(Iterator begin, Iterator end) -> iterator_range<Iterator> {
  return iterator_range<Iterator>(std::move(begin), std::move(end));
}


template <typename Integral>
auto range(Integral begin, Integral end) ->
typename std::enable_if<std::is_integral<Integral>::value, iterator_range<counting_iterator<Integral>>>::type {
  return make_range(make_counting_iterator(begin), make_counting_iterator(end));
}


template <typename Integral>
auto rrange(Integral begin, Integral end) ->
typename std::enable_if<std::is_integral<Integral>::value, iterator_range<reverse_counting_iterator<Integral>>>::type {
  return make_range(make_reverse_counting_iterator(end - 1), make_reverse_counting_iterator(begin - 1));
}


template <typename Iterator, typename Mapper>
class mapping_iterator {
public:
  using self_type = mapping_iterator;
  using underlying_value_type = decltype(*std::declval<Iterator>());
  using value_type = decltype(std::declval<Mapper>()(std::declval<underlying_value_type>()));
  using reference = value_type;
  using pointer = typename std::remove_reference<value_type>::type*;
  using difference_type = typename std::iterator_traits<Iterator>::difference_type;
  using iterator_category = typename std::iterator_traits<Iterator>::iterator_category;

  mapping_iterator(const Mapper& mapper = Mapper()):
      iterator_(), mapper_(mapper) { }

  explicit mapping_iterator(Iterator iterator, const Mapper& mapper = Mapper()):
      iterator_(iterator), mapper_(mapper) { }

  reference operator*() const {
    return mapper_(*iterator_);
  }

  self_type& operator++() {
    ++iterator_;
    return *this;
  }

  self_type& operator--() {
    --iterator_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    iterator_ += n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.iterator_ + n, obj.mapper_);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ - rhs.iterator_;
  }

  value_type operator[](difference_type n) {
    return *(*this + n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ < rhs.iterator_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ == rhs.iterator_;
  }

private:
  Iterator iterator_;
  Mapper mapper_;
};

namespace detail {

template <typename ValuesIterator>
struct IndirectMapper {
  static_assert(is_iterator<ValuesIterator>::value, "first indirect_iterator's template argument must be iterator.");
  static_assert(
      std::is_same<typename std::iterator_traits<ValuesIterator>::iterator_category, std::random_access_iterator_tag>::value,
      "ValuesIterator must be random assess iterator."
  );

  using value_type = typename std::iterator_traits<ValuesIterator>::value_type;
  using reference = const value_type&;
  using index_type = typename std::iterator_traits<ValuesIterator>::difference_type;

  IndirectMapper() = default;

  IndirectMapper(ValuesIterator values):
      values_(values) { }

  reference operator()(index_type n) const {
    return *(values_ + n);
  }

private:
  ValuesIterator values_;
};

} 

template <typename ValuesIterator, typename IndexesIterator>
using indirect_iterator = mapping_iterator<IndexesIterator, detail::IndirectMapper<ValuesIterator>>;


template <typename ValuesIterator, typename IndexesIterator>
auto make_indirect_iterator(ValuesIterator values, IndexesIterator indexes) ->
indirect_iterator<ValuesIterator, IndexesIterator> {
  detail::IndirectMapper<ValuesIterator> mapper(values);
  return indirect_iterator<ValuesIterator, IndexesIterator>(std::move(indexes), std::move(mapper));
};


template <typename ValueType>
class generator {
public:
  using ptr = std::shared_ptr<generator>;
  using value_type = ValueType;

  generator() = default;
  generator(const generator&) = delete;
  generator& operator=(const generator&) = delete;
  generator(generator&&) = default;
  virtual ~generator() = default;

  
  virtual value_type next() = 0;

  
  virtual bool hasNext() = 0;
};


template <typename ValueType>
class generator_iterator {
public:
  using self_type = generator_iterator;
  using generator_type = generator<ValueType>;
  using generator_pointer = typename generator<ValueType>::ptr;
  using value_type = typename generator_type::value_type;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = std::ptrdiff_t;
  using iterator_category = std::input_iterator_tag;

  generator_iterator() = default;

  generator_iterator(generator_type* generator):
      generator_iterator(generator_pointer(generator)) { }

  generator_iterator(generator_pointer generator):
      generator_(std::move(generator)) {
    advance();
  }

  reference operator*() const {
    return value_;
  }

  pointer operator->() const {
    return &value_;
  }

  self_type& operator++() {
    advance();
    return *this;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return (&lhs == &rhs) || (lhs.is_end() && rhs.is_end());
  }

  bool is_end() const {
    return !bool(generator_.get());
  }

private:
  void advance() {
    if (generator_->hasNext())
      value_ = generator_->next();
    else
      generator_.reset();
  }

  generator_pointer generator_;
  value_type value_;
};


template <typename T>
iterator_range<generator_iterator<T>> iterate_generator(generator<T>* gen) {
  return make_range(generator_iterator<T>(gen), generator_iterator<T>());
}

} 





namespace lib {

namespace detail {

const int kSimpleFancyFlagID = std::ios_base::xalloc();

enum printing_type {
  simple_printing_type = 0,
  fancy_printing_type = 1
};

class delimiter_printer {
public:
  delimiter_printer(std::ostream& stream): first_(true) {
    fancy_ = (stream.iword(kSimpleFancyFlagID) == fancy_printing_type);
  }

  const char* prefix() {
    return fancy_? "(" : "";
  }

  const char* delimiter() {
    if (!first_) {
      return fancy_? ", " : " ";
    }
    else {
      first_ = false;
      return "";
    }
  }

  const char* postfix() {
    return fancy_? ")" : "";
  }

private:
  bool first_;
  bool fancy_;
};

template <typename T>
constexpr bool allow_print_operator() {
  return
      is_iterable<T>::value &&
      !std::is_same<T, std::string>::value &&
      !std::is_same<T, const char*>::value &&
      !std::is_same<typename std::remove_extent<T>::type, char>::value;
}

} 


std::ostream& simple(std::ostream& stream) {
  stream.iword(detail::kSimpleFancyFlagID) = detail::simple_printing_type;
  return stream;
}


std::ostream& fancy(std::ostream& stream) {
  stream.iword(detail::kSimpleFancyFlagID) = detail::fancy_printing_type;
  return stream;
}


template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& stream, const std::pair<T1, T2>& pair);


template <typename... Args>
std::ostream& operator<<(std::ostream& stream, const std::tuple<Args...>& tuple);


template <typename Iterable>
typename std::enable_if<detail::allow_print_operator<Iterable>(), std::ostream&>::type
operator<<(std::ostream& stream, const Iterable& iterable);

#ifdef USE_INT128_TYPES


std::ostream& operator<<(std::ostream& stream, uint128 n) {
  constexpr int32 buffer_size = 64;
  constexpr uint128 ten = 10;
  char buffer[buffer_size];
  int32 index = buffer_size - 1;

  do {
    uint128 digit = n % 10;
    buffer[index--] = char('0' + digit);
    n /= 10;
  } while (n > 0 && index >= 0);

  stream.write(buffer + index + 1, buffer_size - index - 1);
  return stream;
}


std::ostream& operator<<(std::ostream& stream, int128 n) {
  if (n < 0) {
    stream.put('-');
    n = -n;
  }
  stream << uint128(n);
  return stream;
}

#endif


template <typename T1, typename T2>
std::istream& operator>>(std::istream& stream, std::pair<T1, T2>& pair);


template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>& tuple);


template <typename T>
struct ignore {
  ignore() = default;

  friend std::istream& operator>>(std::istream& stream, const ignore&&) {
    T ignored;
    return stream >> ignored;
  }

  friend std::istream& operator>>(std::istream& stream, const ignore&) {
    T ignored;
    return stream >> ignored;
  }
};

namespace detail {

template<std::size_t...>
struct integer_sequence{};

template <size_t N>
struct generate_sequence {
private:
  template<std::size_t M, std::size_t... Is>
  struct helper {
    using type = typename helper<M-1, M-1, Is...>::type;
  };;

  template<std::size_t... Is>
  struct helper<0, Is...> {
    using type = integer_sequence<Is...>;
  };

public:
  using type = typename helper<N>::type;
};

template <typename Functor, size_t N>
struct dynamize {
  using functor_type = Functor;
private:
  using index_sequence = typename generate_sequence<N>::type;
  using function_type = void(functor_type::*)();
  using table_type = std::array<function_type, N>;

  template <size_t... Indexes>
  static constexpr table_type build_table(integer_sequence<Indexes...>) {
    return {{&functor_type::template operator()<Indexes>...}};
  }

  static constexpr table_type functions_ = build_table(index_sequence());
public:
  dynamize(functor_type&& functor):
      functor_(std::move(functor)) { }

  void call(size_t i) {
    if (i >= N)
      throw std::out_of_range("tuple_printer: out of range");

    (functor_.*functions_[i])();
  }

private:
  functor_type functor_;
};

template <typename Functor, size_t N>
constexpr typename dynamize<Functor, N>::table_type dynamize<Functor, N>::functions_;

template <typename... Args>
class tuple_printer {
  static constexpr size_t arguments_count = sizeof...(Args);
  using tuple_type = std::tuple<Args...>;

  struct impl {
    std::ostream& stream_;
    const tuple_type& tuple_;

    template <size_t N>
    void operator()() {
      stream_ << std::get<N>(tuple_);
    }
  };

public:
  tuple_printer (std::ostream& stream, const tuple_type& tuple):
    dynamize_(impl{stream, tuple}) { }

  void print(size_t i) {
    dynamize_.call(i);
  }

private:
  dynamize<impl, arguments_count> dynamize_;
};

template <typename... Args>
class tuple_reader {
  static constexpr size_t arguments_count = sizeof...(Args);
  using tuple_type = std::tuple<Args...>;

  struct impl {
    std::istream& stream_;
    tuple_type& tuple_;

    template <size_t N>
    void operator()() {
      stream_ >> std::get<N>(tuple_);
    }
  };

public:
  tuple_reader (std::istream& stream, tuple_type& tuple):
      dynamize_(impl{stream, tuple}) { }

  void read(size_t i) {
    dynamize_.call(i);
  }

private:
  dynamize<impl, arguments_count> dynamize_;
};

} 

template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& stream, const std::pair<T1, T2>& pair) {
  detail::delimiter_printer printer(stream);
  stream << printer.prefix();
  stream << printer.delimiter() << pair.first;
  stream << printer.delimiter() << pair.second;
  stream << printer.postfix();
  return stream;
}

template <typename... Args>
std::ostream& operator<<(std::ostream& stream, const std::tuple<Args...>& tuple) {
  detail::delimiter_printer delimiter_printer(stream);
  detail::tuple_printer<Args...> tuple_printer(stream, tuple);
  stream << delimiter_printer.prefix();
  for (auto i: range<size_t>(0, sizeof...(Args))) {
    stream << delimiter_printer.delimiter();
    tuple_printer.print(i);
  }
  stream << delimiter_printer.postfix();
  return stream;
}

template <typename Iterable>
typename std::enable_if<detail::allow_print_operator<Iterable>(), std::ostream&>::type
operator<<(std::ostream& stream, const Iterable& iterable) {
  detail::delimiter_printer printer(stream);
  stream << printer.prefix();
  for (const auto& elem: iterable) {
    stream << printer.delimiter() << elem;
  }
  stream << printer.postfix();
  return stream;
}

template <typename T1, typename T2>
std::istream& operator>>(std::istream& stream, std::pair<T1, T2>& pair) {
  return stream >> pair.first >> pair.second;
}

template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>& tuple) {
  detail::tuple_reader<Args...> tuple_reader(stream, tuple);
  for (auto i: range<size_t>(0, sizeof...(Args))) {
    tuple_reader.read(i);
  }
  return stream;
}



template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>&& tuple) {
  return stream >> tuple;
}


template <typename... Args>
void print(std::ostream& stream, const char* format, const Args&... args) {
  auto tuple = std::make_tuple(std::cref(args)...);
  detail::tuple_printer<const Args&...> tuple_printer(stream, tuple);
  constexpr char null = '\0';
  constexpr char percent = '%';
  for (const char* it = format, *prev = format; *it != '\0'; ) {
    while (*it != null && *it != percent)
      it++;

    stream.write(prev, it - prev);
    if (*it == percent) {
      ++it;
      if (*it == percent) {
        stream.put(percent);
      }
      else if (std::isdigit(*it)) {
        size_t index = size_t(*it - '0');
        tuple_printer.print(index);
      }
      else {
        throw std::invalid_argument("print - invalid character after %");
      }
      prev = ++it;
    }
  }
  stream.put('\n');
}


template <typename... Args>
void print(const char* format, const Args&... args) {
  print(std::cout, format, args...);
}


std::ostream& flush(std::ostream& stream) {
  return stream.flush();
}


std::ostream& newline(std::ostream& stream) {
  return stream.put('\n');
}


template <typename... Args>
void read(std::istream& stream, Args&&... args) {
  auto tuple = std::make_tuple(std::ref(args)...);
  stream >> tuple;
}


class lines_generator: public generator<std::string> {
public:
  lines_generator(std::istream* stream):
      stream_(stream) { }

  value_type next() final {
    if (!stream_->good())
      throw std::ios::failure("lines_generator - stream in invalid state after line read.");
    else
      std::getline(*stream_, line_);
    return line_;
  }

  bool hasNext() final {
    return !stream_->eof();
  }

private:
  std::istream* stream_;
  std::string line_;
};


class lines_iterator: public generator_iterator<std::string> {
public:
  lines_iterator() = default;

  lines_iterator(std::istream* stream):
      generator_iterator(new lines_generator(stream)) { }
};


iterator_range<lines_iterator> iterate_lines(std::istream& stream) {
  return make_range(lines_iterator(&stream), lines_iterator());
}

} 

namespace lib {
namespace logging {

enum class log_level {
  debug = 15,
  info = 10,
  error = 5,
  none = 0
};

class Logger {
public:
  friend Logger& get_logger(const std::string& name);

  Logger(Logger&& other):
      level_(other.level_),
      streams_(std::move(other.streams_)) { }

  Logger(const Logger&) = delete;
  Logger& operator=(const Logger&) = delete;

  template <typename... Args>
  void log(log_level level, const char* format, const Args&... args) {
    if (level > level_)
      return;

    for (const auto& pair: streams_) {
      if (level > pair.second)
        continue;

      print(*pair.first, format, args...);
    }
  }

  template <typename... Args>
  void debug(const char* format, const Args&... args) {
    log(log_level::debug, format, args...);
  }

  template <typename... Args>
  void info(const char* format, const Args&... args) {
    log(log_level::info, format, args...);
  }

  template <typename... Args>
  void error(const char* format, const Args&... args) {
    log(log_level::error, format, args...);
  }

  void add_stream(std::ostream* stream, log_level level) {
    streams_.emplace_back(stream, level);
  }

  void set_log_level(log_level level) {
    level_ = level;
  }

protected:
  Logger() = default;

private:
  log_level level_ = log_level::debug;
  std::vector<std::pair<std::ostream*, log_level>> streams_;
};

Logger& get_logger(const std::string& name) {
  static std::map<std::string, Logger> loggers;
  auto it = loggers.find(name);

  if (it == loggers.end()) {
    it = loggers.emplace(name, Logger()).first;
  }
  return it->second;
}

} 
} 

using namespace lib;

logging::Logger& logger = logging::get_logger("grz");


template<class T>
class StaticBinaryTree {
public:
  typedef T node_type;
  typedef StaticBinaryTree<node_type> basic_type;
  typedef uint32 index_type;

  uint32 real_size() {
    return data_size * 2;
  }

  uint32 size() {
    return data_size;
  }

protected:
  StaticBinaryTree(uint32 n) {
    uint32 PowerOfTwo = 8;
    while (PowerOfTwo < n)
      PowerOfTwo <<= 1;

    data_size = PowerOfTwo;
    tree.resize(data_size * 2);
  }

  bool is_left_son(index_type k) {
    return (k % 2 == 0);
  }

  bool is_right_son(index_type k) {
    return (k % 2 == 1);
  }

  index_type left_sibling(index_type k) {
    return (k - k % 2);
  }

  index_type right_sibling(index_type k) {
    return (k - k % 2 + 1);
  }

  index_type parent(index_type i) {
    return i / 2;
  }

  index_type left_son(index_type i) {
    return i * 2;
  }

  index_type right_son(index_type i) {
    return i * 2 + 1;
  }

  index_type index_of_node(uint32 k) {
    return k + data_size;
  }

  index_type root() {
    return 1;
  }

  bool is_leaf(index_type n) {
    return (n >= data_size && n < data_size * 2);
  }

  void assert_range(uint32 first, uint32 last) {
    if (first > last)
      throw std::logic_error("StaticBinaryTree: first > last!");
    else if (last >= size())
      throw std::logic_error("StaticBinaryTree: last >= size()!");
  }

  void assert_index(uint32 index) {
    if (index >= size())
      throw std::logic_error("StaticBinaryTree: index >= size()");
  }

  std::vector<node_type> tree;
private:
  uint32 data_size;
};

struct TreeNode {
  int64 A = 0;
  int64 B = 0;
};

class IntervalAddAddTree : public StaticBinaryTree<TreeNode> {
public:
  typedef int64 value_type;

  IntervalAddAddTree(uint32 n) : basic_type(n) {
  }

  void insert(uint32 first, uint32 last, value_type value) {
    first = index_of_node(first);
    last = index_of_node(last);

    uint32 length = 1;

    tree[first].A += value;
    UpdateNode(first, length);

    if (first != last) {
      tree[last].A += value;
      UpdateNode(last, length);
    }

    while (first > 0) {
      if (first + 1 < last) {
        if (is_left_son(first)) {
          uint32 sibling = right_sibling(first);
          tree[sibling].A += value;
          UpdateNode(sibling, length);
        }

        if (is_right_son(last)) {
          uint32 sibling = left_sibling(last);
          tree[sibling].A += value;
          UpdateNode(sibling, length);
        }
      }

      UpdateNode(first, length);
      UpdateNode(last, length);

      first = parent(first);
      last = parent(last);
      length *= 2;
    }
  }

  value_type query(uint32 first, uint32 last) {
    first = index_of_node(first);
    last = index_of_node(last);

    uint32 length = 1;

    uint32 left_length = 1, right_length = ((first == last) ? 0 : 1);
    value_type result = 0;

    while (first > 0) {
      result += tree[first].A * left_length + tree[last].A * right_length;

      if (first + 1 < last) {
        if (is_left_son(first)) {
          uint32 sibling = right_sibling(first);
          result += tree[sibling].B;
          left_length += length;
        }

        if (is_right_son(last)) {
          uint32 sibling = left_sibling(last);
          result += tree[sibling].B;
          right_length += length;
        }
      }

      first = parent(first);
      last = parent(last);
      length *= 2;
    }
    return result;
  }

  void UpdateNode(uint32 index, uint32 length) {
    if (is_leaf(index)) {
      tree[index].B = tree[index].A;
    } else {
      tree[index].B = tree[left_son(index)].B + tree[right_son(index)].B + tree[index].A * length;
    }
  }
};

class Application {
public:
  void Run() {
    NSquare();
  }

  void NSquare() {
    std::sort(glades.begin(), glades.end());

    int64 result = 0;
    int64 asSum = 0;
    bit_vector chosen(N, false);
    for (auto i: range<uint32>(0, N)) {
      int64 bestReward = -1;
      uint32 bestRewardIndex = 0;
      int64 asSumLoop = asSum;
      int64 index = 0;

      for (auto j: range<uint32>(0, N)) {
        if (chosen[j]) {
          index++;
          asSumLoop -= glades[j].first;
        }
        else {
          int64 reward = glades[j].second + asSumLoop + index * glades[j].first;
          if (bestReward < reward) {
            bestReward = reward;
            bestRewardIndex = j;
          }
        }
      }

      result += bestReward;
      chosen[bestRewardIndex] = true;
      asSum += glades[bestRewardIndex].first;

      print("%0", result);
    }
  }

  void LoadData() {
    read(std::cin, N);
    glades.resize(N);
    for (auto i: range<uint32>(0, N)) {
      read(std::cin, glades[i]);
    }
  }

private:
  uint32 N;
  std::vector<int64_pair> glades;
};

int main(int argc, const char* argv[]) {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  std::cout.tie(nullptr);
  logger.set_log_level(logging::log_level::info);
  logger.add_stream(&std::cerr, logging::log_level::debug);
  Application application;
  application.LoadData();
  application.Run();
  return 0;
}

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// Generated by include.py
// Jakub Staroń, 2016
// For more info see https://github.com/staronj/ProgrammingContestsLibrary




#include <iostream>
#include <sstream>
#include <iterator>
#include <type_traits>
#include <algorithm>
#include <memory>
#include <utility>
#include <functional>
#include <bitset>
#include <vector>
#include <array>
#include <list>
#include <deque>
#include <queue>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <cinttypes>
#include <ctime>
#include <cctype>
#include <cstring>
#include <random>
#include <cassert>

namespace lib {

using int8    = std::int8_t;
using uint8   = std::uint8_t;
using int16   = std::int16_t;
using uint16  = std::uint16_t;
using int32   = std::int32_t;
using uint32  = std::uint32_t;
using int64   = std::int64_t;
using uint64  = std::uint64_t;


std::knuth_b Random(time(0));


uint32 Random32() {
  return Random();
}


uint64 Random64() {
  return uint64(Random32()) << 32 | uint64(Random32());
}

#ifdef __SIZEOF_INT128__
#define HAVE_INT128_TYPES
#endif

#define USE_INT128_TYPES_IF_AVAILABLE 0

#if defined(HAVE_INT128_TYPES) && USE_INT128_TYPES_IF_AVAILABLE
#define USE_INT128_TYPES
#endif

#ifdef USE_INT128_TYPES
using int128 = __int128;
using uint128 = unsigned __int128;
#endif

using bit_vector = std::vector<bool>;

using char_pair     = std::pair<char, char>;
using bool_pair     = std::pair<bool, bool>;
using int32_pair    = std::pair<int32, int32>;
using uint32_pair   = std::pair<uint32, uint32>;
using int64_pair    = std::pair<int64, int64>;
using uint64_pair   = std::pair<uint64, uint64>;

} 





namespace lib {


template <typename T>
inline T operator++(T& obj, int) {
  T temp = obj;
  ++obj;
  return temp;
}


template <typename T>
inline T operator--(T& obj, int) {
  T temp = obj;
  --obj;
  return temp;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator+=(T& obj, Integral n) {
  obj = obj + n;
  return obj;
}


template <typename T>
inline T& operator+=(T& obj1, const T& obj2) {
  obj1 = obj1 + obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator-=(T& obj, Integral n) {
  obj = obj - n;
  return obj;
}


template <typename T>
inline T& operator-=(T& obj1, const T& obj2) {
  obj1 = obj1 - obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator*=(T& obj, Integral n) {
  obj = obj * n;
  return obj;
}


template <typename T>
inline T& operator*=(T& obj1, const T& obj2) {
  obj1 = obj1 * obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T&>::type
operator%=(T& obj, Integral n) {
  obj = obj % n;
  return obj;
}


template <typename T>
inline T& operator%=(T& obj1, const T& obj2) {
  obj1 = obj1 % obj2;
  return obj1;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T>::type
operator+(Integral n, const T& obj) {
  return obj + n;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_integral<Integral>::value, T>::type
operator*(Integral n, const T& obj) {
  return obj * n;
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_signed<Integral>::value, T>::type
operator-(const T& obj, Integral n) {
  return obj + (-n);
}


template <typename T, typename Integral>
inline typename std::enable_if<std::is_signed<Integral>::value, T&>::type
operator-=(const T& obj, Integral n) {
  return obj += (-n);
}


template <typename T>
inline bool operator>(const T& lhs, const T& rhs) {
  return rhs < lhs;
}


template <typename T>
inline bool operator<=(const T& lhs, const T& rhs) {
  return !(rhs < lhs);
}


template <typename T>
inline bool operator>=(const T& lhs, const T& rhs) {
  return rhs <= lhs;
}


template <typename T>
inline bool operator!=(const T& lhs, const T& rhs) {
  return !(lhs == rhs);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator+(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first + rhs.first, lhs.second + rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator-(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first - rhs.first, lhs.second - rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator%(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first % rhs.first, lhs.second % rhs.second);
}


template <typename Integral1, typename Integral2>
constexpr std::pair<Integral1, Integral2> operator*(const std::pair<Integral1, Integral2>& lhs, const std::pair<Integral1, Integral2>& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first * rhs.first, lhs.second * rhs.second);
}


template <typename Integral1, typename Integral2, typename Integral3>
constexpr std::pair<Integral1, Integral2> operator%(const std::pair<Integral1, Integral2>& lhs, const Integral3& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first % rhs, lhs.second % rhs);
}


template <typename Integral1, typename Integral2, typename Integral3>
constexpr std::pair<Integral1, Integral2> operator*(const std::pair<Integral1, Integral2>& lhs, const Integral3& rhs) {
  return std::pair<Integral1, Integral2>(lhs.first * rhs, lhs.second * rhs);
}


} 

namespace lib {


template<typename Iterator>
struct is_iterator {
private:
  template<typename I> static constexpr auto test(int)
  -> decltype(
      *std::declval<const I>(),
      std::declval<const I>() == std::declval<const I>(),
      std::declval<const I>() != std::declval<const I>(),
      ++ std::declval<I&>(),
      std::declval<I&>() ++,
      std::iterator_traits<I>(),
      bool()) { return
        std::is_destructible<I>::value;
  }

  template<typename I> static constexpr bool test(...) { return false; }

public:
  static constexpr bool value = test<Iterator>(0);
};


template<typename T>
struct is_iterable {
  template <typename C>
  using begin_t = decltype(std::begin(std::declval<C&>()));

  template <typename C>
  using end_t = decltype(std::end(std::declval<C&>()));

  template<typename I> static constexpr auto test(int)
  -> decltype(
      std::declval<begin_t<I>>(),
      std::declval<end_t<I>>(),
      bool()) { return
        std::is_same<begin_t<I>, end_t<I>>::value &&
        is_iterator<begin_t<I>>::value;
  }

  template<typename I> static constexpr bool test(...) { return false; }

public:
  static constexpr bool value = test<T>(0);
};


template <typename Integral>
class counting_iterator {
public:
  static_assert(std::is_integral<Integral>::value, "counting_iterator's template argument should be integral");
  using self_type = counting_iterator;
  using value_type = Integral;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = typename std::make_signed<Integral>::type;
  using iterator_category = std::random_access_iterator_tag;

  counting_iterator(): value_() { }

  explicit counting_iterator(Integral n): value_(n) { }

  reference operator*() const {
    return value_;
  }

  self_type& operator++() {
    ++value_;
    return *this;
  }

  self_type& operator--() {
    --value_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    value_ += n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.value_ + n);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ - rhs.value_;
  }

  value_type operator[](difference_type n) {
    return value_type(value_ + n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ < rhs.value_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ == rhs.value_;
  }

private:
  Integral value_;
};


template <typename Integral>
auto make_counting_iterator(Integral n) -> counting_iterator<Integral> {
  return counting_iterator<Integral>(n);
}


template <typename Integral>
class reverse_counting_iterator {
public:
  static_assert(std::is_integral<Integral>::value, "reverse_counting_iterator's template argument should be integral");
  using self_type = reverse_counting_iterator;
  using value_type = Integral;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = typename std::make_signed<Integral>::type;
  using iterator_category = std::random_access_iterator_tag;

  reverse_counting_iterator(): value_() { }

  explicit reverse_counting_iterator(Integral n): value_(n) { }

  reference operator*() const {
    return value_;
  }

  self_type& operator++() {
    --value_;
    return *this;
  }

  self_type& operator--() {
    ++value_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    value_ -= n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.value_ - n);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return rhs.value_ - lhs.value_;
  }

  value_type operator[](difference_type n) {
    return value_type(value_ - n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return rhs.value_ < lhs.value_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.value_ == rhs.value_;
  }

private:
  Integral value_;
};


template <typename Integral>
auto make_reverse_counting_iterator(Integral n) -> reverse_counting_iterator<Integral> {
  return reverse_counting_iterator<Integral>(n);
}


template <typename Iterator>
class iterator_range {
public:
  using iterator_type = Iterator;
  using reference = const Iterator&;

  static_assert(is_iterator<Iterator>::value, "iterator_range's template argument should be iterator!");

  explicit iterator_range(Iterator begin, Iterator end):
      begin_(std::move(begin)), end_(std::move(end)) { }

  reference begin() const {
    return begin_;
  }

  reference end() const {
    return end_;
  }

private:
  iterator_type begin_;
  iterator_type end_;
};


template <typename Iterator>
auto make_range(Iterator begin, Iterator end) -> iterator_range<Iterator> {
  return iterator_range<Iterator>(std::move(begin), std::move(end));
}


template <typename Integral>
auto range(Integral begin, Integral end) ->
typename std::enable_if<std::is_integral<Integral>::value, iterator_range<counting_iterator<Integral>>>::type {
  return make_range(make_counting_iterator(begin), make_counting_iterator(end));
}


template <typename Integral>
auto rrange(Integral begin, Integral end) ->
typename std::enable_if<std::is_integral<Integral>::value, iterator_range<reverse_counting_iterator<Integral>>>::type {
  return make_range(make_reverse_counting_iterator(end - 1), make_reverse_counting_iterator(begin - 1));
}


template <typename Iterator, typename Mapper>
class mapping_iterator {
public:
  using self_type = mapping_iterator;
  using underlying_value_type = decltype(*std::declval<Iterator>());
  using value_type = decltype(std::declval<Mapper>()(std::declval<underlying_value_type>()));
  using reference = value_type;
  using pointer = typename std::remove_reference<value_type>::type*;
  using difference_type = typename std::iterator_traits<Iterator>::difference_type;
  using iterator_category = typename std::iterator_traits<Iterator>::iterator_category;

  mapping_iterator(const Mapper& mapper = Mapper()):
      iterator_(), mapper_(mapper) { }

  explicit mapping_iterator(Iterator iterator, const Mapper& mapper = Mapper()):
      iterator_(iterator), mapper_(mapper) { }

  reference operator*() const {
    return mapper_(*iterator_);
  }

  self_type& operator++() {
    ++iterator_;
    return *this;
  }

  self_type& operator--() {
    --iterator_;
    return *this;
  }

  self_type& operator+=(difference_type n) {
    iterator_ += n;
    return *this;
  }

  friend self_type operator+(const self_type& obj, difference_type n) {
    return self_type(obj.iterator_ + n, obj.mapper_);
  }

  friend difference_type operator-(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ - rhs.iterator_;
  }

  value_type operator[](difference_type n) {
    return *(*this + n);
  }

  friend bool operator<(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ < rhs.iterator_;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return lhs.iterator_ == rhs.iterator_;
  }

private:
  Iterator iterator_;
  Mapper mapper_;
};

namespace detail {

template <typename ValuesIterator>
struct IndirectMapper {
  static_assert(is_iterator<ValuesIterator>::value, "first indirect_iterator's template argument must be iterator.");
  static_assert(
      std::is_same<typename std::iterator_traits<ValuesIterator>::iterator_category, std::random_access_iterator_tag>::value,
      "ValuesIterator must be random assess iterator."
  );

  using value_type = typename std::iterator_traits<ValuesIterator>::value_type;
  using reference = const value_type&;
  using index_type = typename std::iterator_traits<ValuesIterator>::difference_type;

  IndirectMapper() = default;

  IndirectMapper(ValuesIterator values):
      values_(values) { }

  reference operator()(index_type n) const {
    return *(values_ + n);
  }

private:
  ValuesIterator values_;
};

} 

template <typename ValuesIterator, typename IndexesIterator>
using indirect_iterator = mapping_iterator<IndexesIterator, detail::IndirectMapper<ValuesIterator>>;


template <typename ValuesIterator, typename IndexesIterator>
auto make_indirect_iterator(ValuesIterator values, IndexesIterator indexes) ->
indirect_iterator<ValuesIterator, IndexesIterator> {
  detail::IndirectMapper<ValuesIterator> mapper(values);
  return indirect_iterator<ValuesIterator, IndexesIterator>(std::move(indexes), std::move(mapper));
};


template <typename ValueType>
class generator {
public:
  using ptr = std::shared_ptr<generator>;
  using value_type = ValueType;

  generator() = default;
  generator(const generator&) = delete;
  generator& operator=(const generator&) = delete;
  generator(generator&&) = default;
  virtual ~generator() = default;

  
  virtual value_type next() = 0;

  
  virtual bool hasNext() = 0;
};


template <typename ValueType>
class generator_iterator {
public:
  using self_type = generator_iterator;
  using generator_type = generator<ValueType>;
  using generator_pointer = typename generator<ValueType>::ptr;
  using value_type = typename generator_type::value_type;
  using reference = const value_type&;
  using pointer = const value_type*;
  using difference_type = std::ptrdiff_t;
  using iterator_category = std::input_iterator_tag;

  generator_iterator() = default;

  generator_iterator(generator_type* generator):
      generator_iterator(generator_pointer(generator)) { }

  generator_iterator(generator_pointer generator):
      generator_(std::move(generator)) {
    advance();
  }

  reference operator*() const {
    return value_;
  }

  pointer operator->() const {
    return &value_;
  }

  self_type& operator++() {
    advance();
    return *this;
  }

  friend bool operator==(const self_type& lhs, const self_type& rhs) {
    return (&lhs == &rhs) || (lhs.is_end() && rhs.is_end());
  }

  bool is_end() const {
    return !bool(generator_.get());
  }

private:
  void advance() {
    if (generator_->hasNext())
      value_ = generator_->next();
    else
      generator_.reset();
  }

  generator_pointer generator_;
  value_type value_;
};


template <typename T>
iterator_range<generator_iterator<T>> iterate_generator(generator<T>* gen) {
  return make_range(generator_iterator<T>(gen), generator_iterator<T>());
}

} 





namespace lib {

namespace detail {

const int kSimpleFancyFlagID = std::ios_base::xalloc();

enum printing_type {
  simple_printing_type = 0,
  fancy_printing_type = 1
};

class delimiter_printer {
public:
  delimiter_printer(std::ostream& stream): first_(true) {
    fancy_ = (stream.iword(kSimpleFancyFlagID) == fancy_printing_type);
  }

  const char* prefix() {
    return fancy_? "(" : "";
  }

  const char* delimiter() {
    if (!first_) {
      return fancy_? ", " : " ";
    }
    else {
      first_ = false;
      return "";
    }
  }

  const char* postfix() {
    return fancy_? ")" : "";
  }

private:
  bool first_;
  bool fancy_;
};

template <typename T>
constexpr bool allow_print_operator() {
  return
      is_iterable<T>::value &&
      !std::is_same<T, std::string>::value &&
      !std::is_same<T, const char*>::value &&
      !std::is_same<typename std::remove_extent<T>::type, char>::value;
}

} 


std::ostream& simple(std::ostream& stream) {
  stream.iword(detail::kSimpleFancyFlagID) = detail::simple_printing_type;
  return stream;
}


std::ostream& fancy(std::ostream& stream) {
  stream.iword(detail::kSimpleFancyFlagID) = detail::fancy_printing_type;
  return stream;
}


template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& stream, const std::pair<T1, T2>& pair);


template <typename... Args>
std::ostream& operator<<(std::ostream& stream, const std::tuple<Args...>& tuple);


template <typename Iterable>
typename std::enable_if<detail::allow_print_operator<Iterable>(), std::ostream&>::type
operator<<(std::ostream& stream, const Iterable& iterable);

#ifdef USE_INT128_TYPES


std::ostream& operator<<(std::ostream& stream, uint128 n) {
  constexpr int32 buffer_size = 64;
  constexpr uint128 ten = 10;
  char buffer[buffer_size];
  int32 index = buffer_size - 1;

  do {
    uint128 digit = n % 10;
    buffer[index--] = char('0' + digit);
    n /= 10;
  } while (n > 0 && index >= 0);

  stream.write(buffer + index + 1, buffer_size - index - 1);
  return stream;
}


std::ostream& operator<<(std::ostream& stream, int128 n) {
  if (n < 0) {
    stream.put('-');
    n = -n;
  }
  stream << uint128(n);
  return stream;
}

#endif


template <typename T1, typename T2>
std::istream& operator>>(std::istream& stream, std::pair<T1, T2>& pair);


template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>& tuple);


template <typename T>
struct ignore {
  ignore() = default;

  friend std::istream& operator>>(std::istream& stream, const ignore&&) {
    T ignored;
    return stream >> ignored;
  }

  friend std::istream& operator>>(std::istream& stream, const ignore&) {
    T ignored;
    return stream >> ignored;
  }
};

namespace detail {

template<std::size_t...>
struct integer_sequence{};

template <size_t N>
struct generate_sequence {
private:
  template<std::size_t M, std::size_t... Is>
  struct helper {
    using type = typename helper<M-1, M-1, Is...>::type;
  };;

  template<std::size_t... Is>
  struct helper<0, Is...> {
    using type = integer_sequence<Is...>;
  };

public:
  using type = typename helper<N>::type;
};

template <typename Functor, size_t N>
struct dynamize {
  using functor_type = Functor;
private:
  using index_sequence = typename generate_sequence<N>::type;
  using function_type = void(functor_type::*)();
  using table_type = std::array<function_type, N>;

  template <size_t... Indexes>
  static constexpr table_type build_table(integer_sequence<Indexes...>) {
    return {{&functor_type::template operator()<Indexes>...}};
  }

  static constexpr table_type functions_ = build_table(index_sequence());
public:
  dynamize(functor_type&& functor):
      functor_(std::move(functor)) { }

  void call(size_t i) {
    if (i >= N)
      throw std::out_of_range("tuple_printer: out of range");

    (functor_.*functions_[i])();
  }

private:
  functor_type functor_;
};

template <typename Functor, size_t N>
constexpr typename dynamize<Functor, N>::table_type dynamize<Functor, N>::functions_;

template <typename... Args>
class tuple_printer {
  static constexpr size_t arguments_count = sizeof...(Args);
  using tuple_type = std::tuple<Args...>;

  struct impl {
    std::ostream& stream_;
    const tuple_type& tuple_;

    template <size_t N>
    void operator()() {
      stream_ << std::get<N>(tuple_);
    }
  };

public:
  tuple_printer (std::ostream& stream, const tuple_type& tuple):
    dynamize_(impl{stream, tuple}) { }

  void print(size_t i) {
    dynamize_.call(i);
  }

private:
  dynamize<impl, arguments_count> dynamize_;
};

template <typename... Args>
class tuple_reader {
  static constexpr size_t arguments_count = sizeof...(Args);
  using tuple_type = std::tuple<Args...>;

  struct impl {
    std::istream& stream_;
    tuple_type& tuple_;

    template <size_t N>
    void operator()() {
      stream_ >> std::get<N>(tuple_);
    }
  };

public:
  tuple_reader (std::istream& stream, tuple_type& tuple):
      dynamize_(impl{stream, tuple}) { }

  void read(size_t i) {
    dynamize_.call(i);
  }

private:
  dynamize<impl, arguments_count> dynamize_;
};

} 

template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& stream, const std::pair<T1, T2>& pair) {
  detail::delimiter_printer printer(stream);
  stream << printer.prefix();
  stream << printer.delimiter() << pair.first;
  stream << printer.delimiter() << pair.second;
  stream << printer.postfix();
  return stream;
}

template <typename... Args>
std::ostream& operator<<(std::ostream& stream, const std::tuple<Args...>& tuple) {
  detail::delimiter_printer delimiter_printer(stream);
  detail::tuple_printer<Args...> tuple_printer(stream, tuple);
  stream << delimiter_printer.prefix();
  for (auto i: range<size_t>(0, sizeof...(Args))) {
    stream << delimiter_printer.delimiter();
    tuple_printer.print(i);
  }
  stream << delimiter_printer.postfix();
  return stream;
}

template <typename Iterable>
typename std::enable_if<detail::allow_print_operator<Iterable>(), std::ostream&>::type
operator<<(std::ostream& stream, const Iterable& iterable) {
  detail::delimiter_printer printer(stream);
  stream << printer.prefix();
  for (const auto& elem: iterable) {
    stream << printer.delimiter() << elem;
  }
  stream << printer.postfix();
  return stream;
}

template <typename T1, typename T2>
std::istream& operator>>(std::istream& stream, std::pair<T1, T2>& pair) {
  return stream >> pair.first >> pair.second;
}

template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>& tuple) {
  detail::tuple_reader<Args...> tuple_reader(stream, tuple);
  for (auto i: range<size_t>(0, sizeof...(Args))) {
    tuple_reader.read(i);
  }
  return stream;
}



template <typename... Args>
std::istream& operator>>(std::istream& stream, std::tuple<Args...>&& tuple) {
  return stream >> tuple;
}


template <typename... Args>
void print(std::ostream& stream, const char* format, const Args&... args) {
  auto tuple = std::make_tuple(std::cref(args)...);
  detail::tuple_printer<const Args&...> tuple_printer(stream, tuple);
  constexpr char null = '\0';
  constexpr char percent = '%';
  for (const char* it = format, *prev = format; *it != '\0'; ) {
    while (*it != null && *it != percent)
      it++;

    stream.write(prev, it - prev);
    if (*it == percent) {
      ++it;
      if (*it == percent) {
        stream.put(percent);
      }
      else if (std::isdigit(*it)) {
        size_t index = size_t(*it - '0');
        tuple_printer.print(index);
      }
      else {
        throw std::invalid_argument("print - invalid character after %");
      }
      prev = ++it;
    }
  }
  stream.put('\n');
}


template <typename... Args>
void print(const char* format, const Args&... args) {
  print(std::cout, format, args...);
}


std::ostream& flush(std::ostream& stream) {
  return stream.flush();
}


std::ostream& newline(std::ostream& stream) {
  return stream.put('\n');
}


template <typename... Args>
void read(std::istream& stream, Args&&... args) {
  auto tuple = std::make_tuple(std::ref(args)...);
  stream >> tuple;
}


class lines_generator: public generator<std::string> {
public:
  lines_generator(std::istream* stream):
      stream_(stream) { }

  value_type next() final {
    if (!stream_->good())
      throw std::ios::failure("lines_generator - stream in invalid state after line read.");
    else
      std::getline(*stream_, line_);
    return line_;
  }

  bool hasNext() final {
    return !stream_->eof();
  }

private:
  std::istream* stream_;
  std::string line_;
};


class lines_iterator: public generator_iterator<std::string> {
public:
  lines_iterator() = default;

  lines_iterator(std::istream* stream):
      generator_iterator(new lines_generator(stream)) { }
};


iterator_range<lines_iterator> iterate_lines(std::istream& stream) {
  return make_range(lines_iterator(&stream), lines_iterator());
}

} 

namespace lib {
namespace logging {

enum class log_level {
  debug = 15,
  info = 10,
  error = 5,
  none = 0
};

class Logger {
public:
  friend Logger& get_logger(const std::string& name);

  Logger(Logger&& other):
      level_(other.level_),
      streams_(std::move(other.streams_)) { }

  Logger(const Logger&) = delete;
  Logger& operator=(const Logger&) = delete;

  template <typename... Args>
  void log(log_level level, const char* format, const Args&... args) {
    if (level > level_)
      return;

    for (const auto& pair: streams_) {
      if (level > pair.second)
        continue;

      print(*pair.first, format, args...);
    }
  }

  template <typename... Args>
  void debug(const char* format, const Args&... args) {
    log(log_level::debug, format, args...);
  }

  template <typename... Args>
  void info(const char* format, const Args&... args) {
    log(log_level::info, format, args...);
  }

  template <typename... Args>
  void error(const char* format, const Args&... args) {
    log(log_level::error, format, args...);
  }

  void add_stream(std::ostream* stream, log_level level) {
    streams_.emplace_back(stream, level);
  }

  void set_log_level(log_level level) {
    level_ = level;
  }

protected:
  Logger() = default;

private:
  log_level level_ = log_level::debug;
  std::vector<std::pair<std::ostream*, log_level>> streams_;
};

Logger& get_logger(const std::string& name) {
  static std::map<std::string, Logger> loggers;
  auto it = loggers.find(name);

  if (it == loggers.end()) {
    it = loggers.emplace(name, Logger()).first;
  }
  return it->second;
}

} 
} 

using namespace lib;

logging::Logger& logger = logging::get_logger("grz");


template<class T>
class StaticBinaryTree {
public:
  typedef T node_type;
  typedef StaticBinaryTree<node_type> basic_type;
  typedef uint32 index_type;

  uint32 real_size() {
    return data_size * 2;
  }

  uint32 size() {
    return data_size;
  }

protected:
  StaticBinaryTree(uint32 n) {
    uint32 PowerOfTwo = 8;
    while (PowerOfTwo < n)
      PowerOfTwo <<= 1;

    data_size = PowerOfTwo;
    tree.resize(data_size * 2);
  }

  bool is_left_son(index_type k) {
    return (k % 2 == 0);
  }

  bool is_right_son(index_type k) {
    return (k % 2 == 1);
  }

  index_type left_sibling(index_type k) {
    return (k - k % 2);
  }

  index_type right_sibling(index_type k) {
    return (k - k % 2 + 1);
  }

  index_type parent(index_type i) {
    return i / 2;
  }

  index_type left_son(index_type i) {
    return i * 2;
  }

  index_type right_son(index_type i) {
    return i * 2 + 1;
  }

  index_type index_of_node(uint32 k) {
    return k + data_size;
  }

  index_type root() {
    return 1;
  }

  bool is_leaf(index_type n) {
    return (n >= data_size && n < data_size * 2);
  }

  void assert_range(uint32 first, uint32 last) {
    if (first > last)
      throw std::logic_error("StaticBinaryTree: first > last!");
    else if (last >= size())
      throw std::logic_error("StaticBinaryTree: last >= size()!");
  }

  void assert_index(uint32 index) {
    if (index >= size())
      throw std::logic_error("StaticBinaryTree: index >= size()");
  }

  std::vector<node_type> tree;
private:
  uint32 data_size;
};

struct TreeNode {
  int64 A = 0;
  int64 B = 0;
};

class IntervalAddAddTree : public StaticBinaryTree<TreeNode> {
public:
  typedef int64 value_type;

  IntervalAddAddTree(uint32 n) : basic_type(n) {
  }

  void insert(uint32 first, uint32 last, value_type value) {
    first = index_of_node(first);
    last = index_of_node(last);

    uint32 length = 1;

    tree[first].A += value;
    UpdateNode(first, length);

    if (first != last) {
      tree[last].A += value;
      UpdateNode(last, length);
    }

    while (first > 0) {
      if (first + 1 < last) {
        if (is_left_son(first)) {
          uint32 sibling = right_sibling(first);
          tree[sibling].A += value;
          UpdateNode(sibling, length);
        }

        if (is_right_son(last)) {
          uint32 sibling = left_sibling(last);
          tree[sibling].A += value;
          UpdateNode(sibling, length);
        }
      }

      UpdateNode(first, length);
      UpdateNode(last, length);

      first = parent(first);
      last = parent(last);
      length *= 2;
    }
  }

  value_type query(uint32 first, uint32 last) {
    first = index_of_node(first);
    last = index_of_node(last);

    uint32 length = 1;

    uint32 left_length = 1, right_length = ((first == last) ? 0 : 1);
    value_type result = 0;

    while (first > 0) {
      result += tree[first].A * left_length + tree[last].A * right_length;

      if (first + 1 < last) {
        if (is_left_son(first)) {
          uint32 sibling = right_sibling(first);
          result += tree[sibling].B;
          left_length += length;
        }

        if (is_right_son(last)) {
          uint32 sibling = left_sibling(last);
          result += tree[sibling].B;
          right_length += length;
        }
      }

      first = parent(first);
      last = parent(last);
      length *= 2;
    }
    return result;
  }

  void UpdateNode(uint32 index, uint32 length) {
    if (is_leaf(index)) {
      tree[index].B = tree[index].A;
    } else {
      tree[index].B = tree[left_son(index)].B + tree[right_son(index)].B + tree[index].A * length;
    }
  }
};

class Application {
public:
  void Run() {
    NSquare();
  }

  void NSquare() {
    std::sort(glades.begin(), glades.end());

    int64 result = 0;
    int64 asSum = 0;
    bit_vector chosen(N, false);
    for (auto i: range<uint32>(0, N)) {
      int64 bestReward = -1;
      uint32 bestRewardIndex = 0;
      int64 asSumLoop = asSum;
      int64 index = 0;

      for (auto j: range<uint32>(0, N)) {
        if (chosen[j]) {
          index++;
          asSumLoop -= glades[j].first;
        }
        else {
          int64 reward = glades[j].second + asSumLoop + index * glades[j].first;
          if (bestReward < reward) {
            bestReward = reward;
            bestRewardIndex = j;
          }
        }
      }

      result += bestReward;
      chosen[bestRewardIndex] = true;
      asSum += glades[bestRewardIndex].first;

      print("%0", result);
    }
  }

  void LoadData() {
    read(std::cin, N);
    glades.resize(N);
    for (auto i: range<uint32>(0, N)) {
      read(std::cin, glades[i]);
    }
  }

private:
  uint32 N;
  std::vector<int64_pair> glades;
};

int main(int argc, const char* argv[]) {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  std::cout.tie(nullptr);
  logger.set_log_level(logging::log_level::info);
  logger.add_stream(&std::cerr, logging::log_level::debug);
  Application application;
  application.LoadData();
  application.Run();
  return 0;
}