結果
| 問題 | No.3668 Minimum Cut |
| コンテスト | |
| ユーザー |
👑  みうね
|
| 提出日時 | 2026-08-04 18:36:48 |
| 言語 | C++23 (gcc 15.3.0 + boost 1.92.0) |
| 結果 |
AC
|
| 実行時間 | 24 ms / 2,000 ms |
| + 740µs | |
| コード長 | 42,528 bytes |
| 記録 | |
| コンパイル時間 | 3,895 ms |
| コンパイル使用メモリ | 378,660 KB |
| 実行使用メモリ | 9,684 KB |
| 最終ジャッジ日時 | 2026-09-04 22:01:00 |
| 合計ジャッジ時間 | 6,879 ms |
|
ジャッジサーバーID （参考情報） |
judge2_0 / judge1_0 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 39 |
ソースコード
// BEGIN: ../sakumon/bonsai/minimum_cut/sol_m1une.cpp
#line 1 "..::sakumon::bonsai::minimum_cut::sol_m1une.cpp"
// BEGIN: pch.hpp
#line 3 "pch.hpp"
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#define dump(...)
#define CPP_DUMP_SET_OPTION(...)
#define CPP_DUMP_DEFINE_EXPORT_OBJECT(...)
#define CPP_DUMP_DEFINE_EXPORT_ENUM(...)
#define CPP_DUMP_DEFINE_DANGEROUS_EXPORT_OBJECT(...)
// BEGIN: template.hpp
#line 3 "template.hpp"
#include <algorithm>
#include <any>
#include <array>
#include <atomic>
#include <barrier>
#include <bit>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cerrno>
#include <cfenv>
#include <cfloat>
#include <charconv>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <clocale>
#include <cmath>
#include <codecvt>
#include <compare>
#include <complex>
#include <concepts>
#include <condition_variable>
#include <coroutine>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstring>
#include <ctime>
#include <cuchar>
#include <cwchar>
#include <cwctype>
#include <deque>
#include <exception>
#include <execution>
#include <filesystem>
#include <format>
#include <forward_list>
#include <fstream>
#include <functional>
#include <future>
#include <iomanip>
#include <initializer_list>
#include <iostream>
#include <ios>
#include <iosfwd>
#include <istream>
#include <iterator>
#include <latch>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <memory_resource>
#include <mutex>
#include <new>
#include <numbers>
#include <numeric>
#include <optional>
#include <ostream>
#include <queue>
#include <random>
#include <ranges>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <semaphore>
#include <set>
#include <shared_mutex>
#include <source_location>
#include <span>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <stop_token>
#include <streambuf>
#include <string>
#include <string_view>
#include <syncstream>
#include <system_error>
#include <thread>
#include <tuple>
#include <type_traits>
#include <typeindex>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <valarray>
#include <variant>
#include <vector>
#include <version>
// BEGIN: utilities/fast_io.hpp
#line 3 "utilities::fast_io.hpp"
#include <algorithm>
#include <array>
#include <cerrno>
#include <charconv>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstdint>
#include <cstring>
#include <iterator>
#include <string>
#include <sys/stat.h>
#include <type_traits>
#include <utility>
#include <unistd.h>
namespace m1une {
namespace utilities {
namespace internal {
// Detect std::begin(x), std::end(x).
template <class T, class = void>
struct is_range : std::false_type {};
template <class T>
struct is_range<T, std::void_t<
decltype(std::begin(std::declval<T&>())),
decltype(std::end(std::declval<T&>()))
>> : std::true_type {};
template <class T>
inline constexpr bool is_range_v = is_range<T>::value;
template <class T>
using range_reference_t = decltype(*std::begin(std::declval<T&>()));
template <class T>
using range_value_t = std::remove_cv_t<std::remove_reference_t<range_reference_t<T>>>;
template <class T, class = void>
struct range_stored_value {
using type = range_value_t<T>;
};
template <class T>
struct range_stored_value<T, std::void_t<typename std::remove_cv_t<std::remove_reference_t<T>>::value_type>> {
using type = typename std::remove_cv_t<std::remove_reference_t<T>>::value_type;
};
template <class T>
using range_stored_value_t = typename range_stored_value<T>::type;
// Treat strings and C strings as scalar output objects, not as ranges.
template <class T>
struct is_char_array : std::false_type {};
template <class T, std::size_t N>
struct is_char_array<T[N]>
: std::bool_constant<std::is_same_v<std::remove_cv_t<T>, char>> {};
template <class T>
struct is_string_like
: std::bool_constant<
std::is_same_v<std::decay_t<T>, std::string>
|| std::is_same_v<std::decay_t<T>, const char*>
|| std::is_same_v<std::decay_t<T>, char*>
|| is_char_array<std::remove_reference_t<T>>::value
> {};
template <class T>
inline constexpr bool is_string_like_v = is_string_like<T>::value;
// ModInt-like type: x.val() is printable, and x can be assigned from long long.
template <class T, class = void>
struct has_val_method : std::false_type {};
template <class T>
struct has_val_method<T, std::void_t<decltype(std::declval<const T&>().val())>>
: std::true_type {};
template <class T>
inline constexpr bool has_val_method_v = has_val_method<T>::value;
template <class T, class = void>
struct has_static_mod_raw : std::false_type {};
template <class T>
struct has_static_mod_raw<
T, std::void_t<decltype(T::mod()), decltype(T::raw(std::declval<uint32_t>()))>>
: std::true_type {};
template <class T>
inline constexpr bool has_static_mod_raw_v = has_static_mod_raw<T>::value;
// libstdc++ before GCC 16 does not classify __int128 as an integral type in
// strict ISO modes such as -std=c++23. Keep the fast-I/O interface independent
// of that implementation detail.
template <class T>
inline constexpr bool is_integral_v =
std::is_integral_v<T>
|| std::is_same_v<std::remove_cv_t<T>, __int128_t>
|| std::is_same_v<std::remove_cv_t<T>, __uint128_t>;
template <class T>
inline constexpr bool is_signed_v =
std::is_signed_v<T>
|| std::is_same_v<std::remove_cv_t<T>, __int128_t>;
template <class T>
struct make_unsigned {
using type = std::make_unsigned_t<T>;
};
template <>
struct make_unsigned<__int128_t> {
using type = __uint128_t;
};
template <>
struct make_unsigned<__uint128_t> {
using type = __uint128_t;
};
template <class T>
using make_unsigned_t = typename make_unsigned<std::remove_cv_t<T>>::type;
} // namespace internal
struct FastInput {
static constexpr int buffer_size = 1 << 20;
private:
std::FILE* _stream;
char _buffer[buffer_size];
int _position;
int _length;
int _file_descriptor;
bool _streaming;
bool refill() {
_position = 0;
if (_streaming) {
ssize_t length;
do {
length = ::read(_file_descriptor, _buffer, buffer_size);
} while (length < 0 && errno == EINTR);
if (length <= 0) {
_length = 0;
return false;
}
_length = int(length);
} else {
_length = int(std::fread(_buffer, 1, buffer_size, _stream));
}
return _length != 0;
}
template <class T>
bool read_integer_from_stream(T& value) {
if (!skip_spaces()) return false;
int c = read_char_raw();
bool negative = false;
if (c == '-') {
negative = true;
c = read_char_raw();
}
if constexpr (internal::is_signed_v<T>) {
T result = 0;
while ('0' <= c && c <= '9') {
result = negative ? result * 10 - (c - '0')
: result * 10 + (c - '0');
c = read_char_raw();
}
value = result;
} else {
T result = 0;
while ('0' <= c && c <= '9') {
result = result * 10 + T(c - '0');
c = read_char_raw();
}
value = negative ? T(0) - result : result;
}
return true;
}
bool prepare_number() {
if (_length - _position >= 64) return true;
const int remaining = _length - _position;
if (remaining > 0) std::memmove(_buffer, _buffer + _position, remaining);
const int added = int(std::fread(_buffer + remaining, 1, buffer_size - remaining, _stream));
_position = 0;
_length = remaining + added;
if (_length < buffer_size) _buffer[_length] = '\0';
return _length != 0;
}
public:
explicit FastInput(std::FILE* stream = stdin)
: _stream(stream),
_position(0),
_length(0),
_file_descriptor(::fileno(stream)),
_streaming([&] {
struct stat status;
return _file_descriptor >= 0
&& ::fstat(_file_descriptor, &status) == 0
&& !S_ISREG(status.st_mode);
}()) {}
FastInput(const FastInput&) = delete;
FastInput& operator=(const FastInput&) = delete;
int read_char_raw() {
if (_position == _length && !refill()) return EOF;
return _buffer[_position++];
}
bool skip_spaces() {
int c = read_char_raw();
while (c != EOF && c <= ' ') c = read_char_raw();
if (c == EOF) return false;
--_position;
return true;
}
bool read(char& value) {
if (!skip_spaces()) return false;
value = char(read_char_raw());
return true;
}
bool read(std::string& value) {
if (!skip_spaces()) return false;
value.clear();
while (true) {
const int begin = _position;
while (_position < _length &&
static_cast<unsigned char>(_buffer[_position]) > ' ') {
++_position;
}
value.append(_buffer + begin, _position - begin);
if (_position < _length) {
++_position;
return true;
}
if (!refill()) return true;
}
}
bool read(bool& value) {
int x;
if (!read(x)) return false;
value = x != 0;
return true;
}
template <class T>
std::enable_if_t<
internal::is_integral_v<T>
&& !std::is_same_v<std::remove_cv_t<T>, bool>
&& !std::is_same_v<std::remove_cv_t<T>, char>,
bool
>
read(T& value) {
if (_streaming) return read_integer_from_stream(value);
if (!prepare_number()) return false;
int c = static_cast<unsigned char>(_buffer[_position++]);
while (c <= ' ') c = static_cast<unsigned char>(_buffer[_position++]);
bool negative = false;
if (c == '-') {
negative = true;
c = static_cast<unsigned char>(_buffer[_position++]);
}
if constexpr (internal::is_signed_v<T>) {
T result = 0;
while ('0' <= c && c <= '9') {
const int first = c - '0';
const int second = static_cast<unsigned char>(_buffer[_position]) - '0';
if (0 <= second && second <= 9) {
result = negative ? result * 100 - (first * 10 + second)
: result * 100 + (first * 10 + second);
++_position;
} else {
result = negative ? result * 10 - first : result * 10 + first;
}
c = static_cast<unsigned char>(_buffer[_position++]);
}
value = result;
} else {
T result = 0;
while ('0' <= c && c <= '9') {
const unsigned first = unsigned(c - '0');
const int second = static_cast<unsigned char>(_buffer[_position]) - '0';
if (0 <= second && second <= 9) {
result = result * 100 + T(first * 10 + unsigned(second));
++_position;
} else {
result = result * 10 + T(first);
}
c = static_cast<unsigned char>(_buffer[_position++]);
}
value = negative ? T(0) - result : result;
}
if (_position > _length) _position = _length;
return true;
}
template <class T>
std::enable_if_t<std::is_floating_point_v<T>, bool>
read(T& value) {
if (!skip_spaces()) return false;
int c = read_char_raw();
bool negative = false;
if (c == '-' || c == '+') {
negative = c == '-';
c = read_char_raw();
}
long double result = 0;
while ('0' <= c && c <= '9') {
result = result * 10 + (c - '0');
c = read_char_raw();
}
if (c == '.') {
long double place = 0.1L;
c = read_char_raw();
while ('0' <= c && c <= '9') {
result += (c - '0') * place;
place *= 0.1L;
c = read_char_raw();
}
}
if (c == 'e' || c == 'E') {
c = read_char_raw();
bool exponent_negative = false;
if (c == '-' || c == '+') {
exponent_negative = c == '-';
c = read_char_raw();
}
int exponent = 0;
while ('0' <= c && c <= '9') {
exponent = exponent * 10 + (c - '0');
c = read_char_raw();
}
long double scale = 1;
long double power = 10;
while (exponent > 0) {
if (exponent & 1) scale *= power;
power *= power;
exponent >>= 1;
}
result = exponent_negative ? result / scale : result * scale;
}
value = static_cast<T>(negative ? -result : result);
return true;
}
template <class T>
std::enable_if_t<
internal::has_val_method_v<T>
&& !internal::is_integral_v<T>
&& !internal::is_range_v<T>,
bool
>
read(T& value) {
long long x;
if (!read(x)) return false;
if constexpr (internal::has_static_mod_raw_v<T>) {
if (x >= 0 && uint64_t(x) < uint64_t(T::mod())) {
value = T::raw(uint32_t(x));
} else {
value = T(x);
}
} else {
value = T(x);
}
return true;
}
template <class First, class Second>
bool read(std::pair<First, Second>& value) {
if (!read(value.first)) return false;
return read(value.second);
}
template <class Range>
std::enable_if_t<
internal::is_range_v<Range>
&& !internal::is_string_like_v<Range>,
bool
>
read(Range& range) {
using StoredValue = internal::range_stored_value_t<Range>;
constexpr bool nested = internal::is_range_v<StoredValue>
&& !internal::is_string_like_v<StoredValue>;
for (auto&& value : range) {
if constexpr (std::is_same_v<StoredValue, bool> && !nested) {
bool x;
if (!read(x)) return false;
value = x;
} else {
if (!read(value)) return false;
}
}
return true;
}
template <class First, class Second, class... Rest>
bool read(First& first, Second& second, Rest&... rest) {
if (!read(first)) return false;
return read(second, rest...);
}
template <class T>
FastInput& operator>>(T& value) {
if (!read(value)) std::abort();
return *this;
}
};
struct FastOutput {
static constexpr int buffer_size = 1 << 20;
private:
inline static const auto digit_quads = [] {
std::array<char, 40000> result{};
for (int i = 0; i < 10000; i++) {
int value = i;
for (int j = 3; j >= 0; j--) {
result[4 * i + j] = char('0' + value % 10);
value /= 10;
}
}
return result;
}();
std::FILE* _stream;
char _buffer[buffer_size];
int _position;
int _precision;
std::chars_format _float_format;
char _range_separator;
public:
explicit FastOutput(std::FILE* stream = stdout)
: _stream(stream),
_position(0),
_precision(6),
_float_format(std::chars_format::general),
_range_separator(' ') {}
FastOutput(const FastOutput&) = delete;
FastOutput& operator=(const FastOutput&) = delete;
~FastOutput() {
flush();
}
void flush() {
if (_position != 0) {
std::fwrite(_buffer, 1, _position, _stream);
_position = 0;
}
std::fflush(_stream);
}
void write_char(char c) {
if (_position == buffer_size) flush();
_buffer[_position++] = c;
}
void write(const char* s) {
while (*s != '\0') write_char(*s++);
}
void write(const std::string& s) {
std::size_t position = 0;
while (position < s.size()) {
if (_position == buffer_size) flush();
const std::size_t copied =
std::min<std::size_t>(buffer_size - _position, s.size() - position);
std::memcpy(_buffer + _position, s.data() + position, copied);
_position += int(copied);
position += copied;
}
}
void write(char c) {
write_char(c);
}
void write(bool value) {
write_char(value ? '1' : '0');
}
template <class T>
std::enable_if_t<std::is_floating_point_v<T>>
write(T value) {
char digits[128];
auto [end, error] = std::to_chars(
digits,
digits + sizeof(digits),
value,
_float_format,
_precision
);
if (error != std::errc()) std::abort();
for (const char* pointer = digits; pointer != end; pointer++) {
write_char(*pointer);
}
}
template <class T>
std::enable_if_t<
internal::is_integral_v<T>
&& !std::is_same_v<std::remove_cv_t<T>, bool>
&& !std::is_same_v<std::remove_cv_t<T>, char>
>
write(T value) {
using Raw = std::remove_cv_t<T>;
using Unsigned = internal::make_unsigned_t<Raw>;
Unsigned magnitude;
if constexpr (internal::is_signed_v<Raw>) {
if (value < 0) {
write_char('-');
magnitude = Unsigned(0) - Unsigned(value);
} else {
magnitude = Unsigned(value);
}
} else {
magnitude = value;
}
if (magnitude == 0) {
write_char('0');
return;
}
unsigned chunks[16];
int count = 0;
while (magnitude >= 10000) {
const Unsigned quotient = magnitude / 10000;
chunks[count++] = unsigned(magnitude - quotient * 10000);
magnitude = quotient;
}
if (_position > buffer_size - 64) flush();
const unsigned leading = unsigned(magnitude);
const char* first = digit_quads.data() + 4 * leading;
int skip = leading < 10 ? 3 : leading < 100 ? 2 : leading < 1000 ? 1 : 0;
for (; skip < 4; skip++) _buffer[_position++] = first[skip];
while (count--) {
const char* digits = digit_quads.data() + 4 * chunks[count];
std::memcpy(_buffer + _position, digits, 4);
_position += 4;
}
}
template <class T>
std::enable_if_t<
internal::has_val_method_v<T>
&& !internal::is_integral_v<T>
&& !internal::is_range_v<T>
>
write(const T& value) {
write(value.val());
}
template <class First, class Second>
void write(const std::pair<First, Second>& value) {
write(value.first);
write_char(' ');
write(value.second);
}
template <class Range>
std::enable_if_t<
internal::is_range_v<Range>
&& !internal::is_string_like_v<Range>
>
write(const Range& range) {
using StoredValue = internal::range_stored_value_t<const Range>;
constexpr bool nested = internal::is_range_v<StoredValue>
&& !internal::is_string_like_v<StoredValue>;
bool first = true;
for (const auto& value : range) {
if (!first) write_char(nested ? '\n' : _range_separator);
first = false;
if constexpr (std::is_same_v<StoredValue, bool> && !nested) {
write(static_cast<bool>(value));
} else {
write(value);
}
}
}
template <class First, class... Rest>
void print(const First& first, const Rest&... rest) {
write(first);
((write_char(' '), write(rest)), ...);
}
void println() {
write_char('\n');
}
void set_precision(int precision) {
_precision = precision;
}
void set_fixed(int precision = 6) {
_float_format = std::chars_format::fixed;
_precision = precision;
}
void set_general(int precision = 6) {
_float_format = std::chars_format::general;
_precision = precision;
}
void set_range_separator(char separator) {
_range_separator = separator;
}
template <class... Args>
void println(const Args&... args) {
print(args...);
write_char('\n');
}
template <class T>
FastOutput& operator<<(const T& value) {
write(value);
return *this;
}
};
} // namespace utilities
} // namespace m1une
// END: utilities/fast_io.hpp
#line 103 "template.hpp"
using namespace std;
namespace m1une {
namespace template_io {
inline utilities::FastInput& input() {
static utilities::FastInput instance;
return instance;
}
inline utilities::FastOutput& output() {
static utilities::FastOutput instance;
return instance;
}
} // namespace template_io
} // namespace m1une
using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
#ifdef __SIZEOF_FLOAT128__
using f128 = __float128;
#endif
template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'000'000'000;
template <>
constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vl = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
using vvi = vvc<int>;
using vvl = vvc<ll>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pqg = std::priority_queue<T, vector<T>, greater<T>>;
template <class T, class U>
using umap = unordered_map<T, U>;
// template <typename K>
// using tree = __gnu_pbds::tree<K, __gnu_pbds::null_type, std::less<>,
// __gnu_pbds::rb_tree_tag,
// __gnu_pbds::tree_order_statistics_node_update>;
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
// FOR(a) := for (ll _ = 0; _ < (ll)a; ++_)
// FOR(i, a) := for (ll i = 0; i < (ll)a; ++i)
// FOR(i, a, b) := for (ll i = a; i < (ll)b; ++i)
// FOR(i, a, b, c) := for (ll i = a; i < (ll)b; i += (c))
// FOR_R(a) := for (ll i = (a) - 1; i >= 0; --i)
// FOR_R(i, a) := for (ll i = (a) - 1; i >= 0; --i)
// FOR_R(i, a, b) := for (ll i = (b) - 1; i >= (ll)a; --i)
#define FOR1(a) for (ll _ = 0; _ < (ll)a; ++_)
#define FOR2(i, a) for (ll i = 0; i < (ll)a; ++i)
#define FOR3(i, a, b) for (ll i = a; i < (ll)b; ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < (ll)b; i += (c))
#define FOR1_R(a) for (ll i = (a) - 1; i >= 0; --i)
#define FOR2_R(i, a) for (ll i = (a) - 1; i >= 0; --i)
#define FOR3_R(i, a, b) for (ll i = (b) - 1; i >= (ll)a; --i)
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FORI1(a) for (int _ = 0; _ < (int)a; ++_)
#define FORI2(i, a) for (int i = 0; i < (int)a; ++i)
#define FORI3(i, a, b) for (int i = a; i < (int)b; ++i)
#define FORI4(i, a, b, c) for (int i = a; i < (int)b; i += (c))
#define FORI1_R(a) for (int i = (a) - 1; i >= 0; --i)
#define FORI2_R(i, a) for (int i = (a) - 1; i >= 0; --i)
#define FORI3_R(i, a, b) for (int i = (b) - 1; i >= (int)a; --i)
#define FORI(...) overload4(__VA_ARGS__, FORI4, FORI3, FORI2, FORI1)(__VA_ARGS__)
#define FORI_R(...) overload3(__VA_ARGS__, FORI3_R, FORI2_R, FORI1_R)(__VA_ARGS__)
#define FOR_subset(t, s) for (int t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
int popcnt(int x) {
return __builtin_popcount(x);
}
int popcnt(u32 x) {
return __builtin_popcount(x);
}
int popcnt(ll x) {
return __builtin_popcountll(x);
}
int popcnt(u64 x) {
return __builtin_popcountll(x);
}
int popcnt_mod_2(int x) {
return __builtin_parity(x);
}
int popcnt_mod_2(u32 x) {
return __builtin_parity(x);
}
int popcnt_mod_2(ll x) {
return __builtin_parityll(x);
}
int popcnt_mod_2(u64 x) {
return __builtin_parityll(x);
}
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) {
return (x == 0 ? -1 : 31 - __builtin_clz(x));
}
int topbit(u32 x) {
return (x == 0 ? -1 : 31 - __builtin_clz(x));
}
int topbit(ll x) {
return (x == 0 ? -1 : 63 - __builtin_clzll(x));
}
int topbit(u64 x) {
return (x == 0 ? -1 : 63 - __builtin_clzll(x));
}
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) {
return (x == 0 ? -1 : __builtin_ctz(x));
}
int lowbit(u32 x) {
return (x == 0 ? -1 : __builtin_ctz(x));
}
int lowbit(ll x) {
return (x == 0 ? -1 : __builtin_ctzll(x));
}
int lowbit(u64 x) {
return (x == 0 ? -1 : __builtin_ctzll(x));
}
template <typename T>
T floor(T a, T b) {
return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T POW(U x_, int n) {
T x = x_;
T ret = 1;
while (n > 0) {
if (n & 1) ret *= x;
x *= x;
n >>= 1;
}
return ret;
}
template <typename T, typename U>
T SUM(const vector<U>& A) {
T sm = 0;
for (auto&& a : A) sm += a;
return sm;
}
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
template <class T, class S>
inline bool chmax(T& a, const S& b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T& a, const S& b) {
return (a > b ? a = b, 1 : 0);
}
// ? は -1
vc<int> s_to_vi(const string& S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) {
A[i] = (S[i] != '?' ? S[i] - first_char : -1);
}
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U>& A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) {
B[i + 1] = B[i] + A[i];
}
if (off == 0) B.erase(B.begin());
return B;
}
template <typename T>
vector<int> argsort(const vector<T>& A) {
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T>& A, const vc<int>& I) {
vc<T> B(I.size());
FOR(i, I.size()) B[i] = A[I[i]];
return B;
}
template <class... T>
constexpr auto min(T... a) {
return min(initializer_list<common_type_t<T...>>{a...});
}
template <class... T>
constexpr auto max(T... a) {
return max(initializer_list<common_type_t<T...>>{a...});
}
template <class... Ts>
bool scan(Ts&... values) {
return m1une::template_io::input().read(values...);
}
template <class... Ts>
void print(const Ts&... values) {
m1une::template_io::output().println(values...);
}
void YESNO(bool b) {
m1une::template_io::output().println(b ? "YES" : "NO");
}
void YesNo(bool b) {
m1une::template_io::output().println(b ? "Yes" : "No");
}
void YES() {
m1une::template_io::output().println("YES");
}
void NO() {
m1une::template_io::output().println("NO");
}
void Yes() {
m1une::template_io::output().println("Yes");
}
void No() {
m1une::template_io::output().println("No");
}
// END: template.hpp
#line 29 "pch.hpp"
// END: pch.hpp
#line 2 "..::sakumon::bonsai::minimum_cut::sol_m1une.cpp"
auto& fastin = m1une::template_io::input();
auto& fastout = m1une::template_io::output();
// BEGIN: graph/flow/max_flow.hpp
#line 3 "graph::flow::max_flow.hpp"
#include <algorithm>
#include <cassert>
#include <cstddef>
#include <limits>
#include <vector>
namespace m1une {
namespace flow {
template <class Cap>
struct MaxFlow {
struct Edge {
int from;
int to;
Cap cap;
Cap flow;
};
private:
struct InternalEdge {
int to;
int rev;
Cap cap;
};
struct Position {
int from;
int edge;
};
int _n;
std::vector<Position> _pos;
std::vector<std::vector<InternalEdge>> _g;
Cap highest_label_preflow_push(int s, int t) {
const int dead = 2 * _n;
const int unreachable = _n + 1;
std::vector<Cap> excess(_n, Cap(0));
std::vector<int> state(8 * std::size_t(_n) + 2);
int* height = state.data();
int* height_count = height + _n;
int* current = height_count + dead + 1;
int* queue = current + _n;
int* next = queue + _n;
int* bucket_head = next + _n;
std::vector<char> active(_n, false);
int highest = -1;
long long work = 0;
const long long arc_count =
2LL * static_cast<long long>(_pos.size());
const long long work_limit = std::max(1LL, 4 * arc_count + _n);
auto activate = [&](int v) {
if (v == s || v == t || active[v] || excess[v] == Cap(0) ||
height[v] >= dead) {
return;
}
active[v] = true;
next[v] = bucket_head[height[v]];
bucket_head[height[v]] = v;
highest = std::max(highest, height[v]);
};
auto rebuild_buckets = [&]() {
std::fill(bucket_head, bucket_head + dead + 1, -1);
std::fill(active.begin(), active.end(), false);
highest = -1;
for (int v = 0; v < _n; v++) activate(v);
};
auto global_relabel = [&]() {
std::fill(height, height + _n, unreachable);
std::fill(height_count, height_count + dead + 1, 0);
std::fill(current, current + _n, 0);
int head = 0;
int tail = 0;
height[t] = 0;
height[s] = _n;
queue[tail++] = t;
while (head != tail) {
int v = queue[head++];
for (const auto& e : _g[v]) {
if (e.to == s || height[e.to] != unreachable) continue;
const auto& reverse = _g[e.to][e.rev];
if (reverse.cap == Cap(0)) continue;
height[e.to] = height[v] + 1;
queue[tail++] = e.to;
}
}
for (int v = 0; v < _n; v++) height_count[height[v]]++;
rebuild_buckets();
work = 0;
};
auto gap = [&](int empty_height) {
for (int v = 0; v < _n; v++) {
if (v == s || v == t || height[v] <= empty_height ||
height[v] >= _n) {
continue;
}
height_count[height[v]]--;
height[v] = unreachable;
height_count[height[v]]++;
current[v] = 0;
}
rebuild_buckets();
};
auto relabel = [&](int v) -> bool {
int old_height = height[v];
int new_height = dead;
work += int(_g[v].size());
for (const auto& e : _g[v]) {
if (e.cap != Cap(0)) {
new_height = std::min(new_height, height[e.to] + 1);
}
}
height_count[old_height]--;
height[v] = std::min(new_height, dead);
height_count[height[v]]++;
current[v] = 0;
if (old_height < _n && height_count[old_height] == 0) {
gap(old_height);
return true;
}
return false;
};
auto push = [&](int v, InternalEdge& e) {
Cap sent = std::min(excess[v], e.cap);
bool was_zero = excess[e.to] == Cap(0);
e.cap -= sent;
_g[e.to][e.rev].cap += sent;
excess[v] -= sent;
excess[e.to] += sent;
if (was_zero) activate(e.to);
};
auto discharge = [&](int v) {
while (excess[v] != Cap(0) && height[v] < dead) {
if (current[v] == int(_g[v].size())) {
if (relabel(v)) return;
continue;
}
auto& e = _g[v][current[v]];
work++;
if (e.cap != Cap(0) && height[v] == height[e.to] + 1) {
push(v, e);
} else {
current[v]++;
}
}
activate(v);
};
for (auto& e : _g[s]) {
if (e.to == s || e.cap == Cap(0)) continue;
Cap sent = e.cap;
e.cap = Cap(0);
_g[e.to][e.rev].cap += sent;
excess[e.to] += sent;
}
global_relabel();
while (highest >= 0) {
if (bucket_head[highest] == -1) {
highest--;
continue;
}
int v = bucket_head[highest];
bucket_head[highest] = next[v];
if (!active[v] || height[v] != highest) continue;
active[v] = false;
discharge(v);
if (work >= work_limit) global_relabel();
}
return excess[t];
}
public:
MaxFlow() : MaxFlow(0) {}
explicit MaxFlow(int n) : _n(n), _g(n) {
assert(0 <= n);
}
int size() const {
return _n;
}
int edge_count() const {
return int(_pos.size());
}
void reserve_edges(int edge_count) {
assert(0 <= edge_count);
_pos.reserve(edge_count);
if (_n == 0 || edge_count == 0 ||
2 * std::size_t(edge_count) < std::size_t(_n)) {
return;
}
const std::size_t average_degree =
(3 * std::size_t(edge_count) + std::size_t(_n) - 1)
/ std::size_t(_n);
for (auto& edges : _g) edges.reserve(average_degree);
}
void reserve_edges(int edge_count, const std::vector<int>& degrees) {
assert(0 <= edge_count);
assert(int(degrees.size()) == _n);
_pos.reserve(edge_count);
for (int v = 0; v < _n; v++) {
assert(0 <= degrees[v]);
_g[v].reserve(degrees[v]);
}
}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(Cap(0) <= cap);
int id = int(_pos.size());
int from_id = int(_g[from].size());
int to_id = int(_g[to].size());
if (from == to) to_id++;
_pos.push_back(Position{from, from_id});
_g[from].push_back(InternalEdge{to, to_id, cap});
_g[to].push_back(InternalEdge{from, from_id, Cap(0)});
return id;
}
int add_undirected_edge(int first, int second, Cap cap) {
static_assert(std::numeric_limits<Cap>::is_signed);
assert(0 <= first && first < _n);
assert(0 <= second && second < _n);
assert(Cap(0) <= cap);
assert(cap <= std::numeric_limits<Cap>::max() / Cap(2));
int id = int(_pos.size());
int first_id = int(_g[first].size());
int second_id = int(_g[second].size());
if (first == second) second_id++;
_pos.push_back(Position{first, ~first_id});
_g[first].push_back(InternalEdge{second, second_id, cap});
_g[second].push_back(InternalEdge{first, first_id, cap});
return id;
}
Edge get_edge(int i) const {
assert(0 <= i && i < int(_pos.size()));
const auto& position = _pos[i];
int from = position.from;
bool undirected = position.edge < 0;
int idx = undirected ? ~position.edge : position.edge;
const auto& e = _g[from][idx];
const auto& re = _g[e.to][e.rev];
if (undirected) {
return Edge{
from,
e.to,
(e.cap + re.cap) / Cap(2),
(re.cap - e.cap) / Cap(2)
};
}
return Edge{from, e.to, e.cap + re.cap, re.cap};
}
std::vector<Edge> edges() const {
std::vector<Edge> result;
result.reserve(_pos.size());
for (int i = 0; i < int(_pos.size()); i++) result.push_back(get_edge(i));
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
assert(0 <= i && i < int(_pos.size()));
assert(Cap(0) <= new_cap);
auto& position = _pos[i];
int from = position.from;
bool undirected = position.edge < 0;
int idx = undirected ? ~position.edge : position.edge;
auto& e = _g[from][idx];
auto& re = _g[e.to][e.rev];
if (undirected) {
assert(new_cap <= std::numeric_limits<Cap>::max() / Cap(2));
assert(-new_cap <= new_flow && new_flow <= new_cap);
e.cap = new_cap - new_flow;
re.cap = new_cap + new_flow;
} else {
assert(Cap(0) <= new_flow && new_flow <= new_cap);
e.cap = new_cap - new_flow;
re.cap = new_flow;
}
}
Cap max_flow(int s, int t) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
return highest_label_preflow_push(s, t);
}
Cap max_flow_push_relabel(int s, int t) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
return highest_label_preflow_push(s, t);
}
Cap max_flow_dinic(int s, int t) {
return max_flow(s, t, std::numeric_limits<Cap>::max());
}
Cap max_flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
std::vector<int> work(3 * std::size_t(_n));
int* level = work.data();
int* iter = level + _n;
int* queue = iter + _n;
auto bfs = [&]() -> bool {
std::fill(level, level + _n, -1);
int head = 0;
int tail = 0;
level[s] = 0;
queue[tail++] = s;
while (head != tail) {
int v = queue[head++];
for (const auto& e : _g[v]) {
if (level[e.to] != -1 || e.cap == Cap(0)) continue;
level[e.to] = level[v] + 1;
if (e.to == t) return true;
queue[tail++] = e.to;
}
}
return level[t] != -1;
};
auto dfs = [&](auto&& self, int v, Cap up) -> Cap {
if (v == s) return up;
Cap result = Cap(0);
const int current_level = level[v];
auto& edges = _g[v];
const int edge_count = int(edges.size());
for (int& i = iter[v]; i < edge_count; i++) {
auto& e = edges[i];
if (level[e.to] + 1 != current_level) continue;
auto& reverse = _g[e.to][e.rev];
if (reverse.cap == Cap(0)) continue;
Cap d = self(
self,
e.to,
std::min(up - result, reverse.cap)
);
if (d == Cap(0)) continue;
e.cap += d;
reverse.cap -= d;
result += d;
if (result == up) return result;
}
level[v] = _n;
return result;
};
Cap flow = 0;
while (flow < flow_limit && bfs()) {
std::fill(iter, iter + _n, 0);
flow += dfs(dfs, t, flow_limit - flow);
}
return flow;
}
std::vector<bool> min_cut(int s) const {
assert(0 <= s && s < _n);
std::vector<bool> visited(_n, false);
std::vector<int> queue(_n);
int head = 0;
int tail = 0;
visited[s] = true;
queue[tail++] = s;
while (head != tail) {
int v = queue[head++];
for (const auto& e : _g[v]) {
if (e.cap == Cap(0) || visited[e.to]) continue;
visited[e.to] = true;
queue[tail++] = e.to;
}
}
return visited;
}
};
} // namespace flow
} // namespace m1une
// END: graph/flow/max_flow.hpp
#line 7 "..::sakumon::bonsai::minimum_cut::sol_m1une.cpp"
void solve() {
ll n, m, s, t;
scan(n, m, s, t);
--s, --t;
m1une::flow::MaxFlow<ll> mf(n);
FOR(m) {
ll u, v, c;
scan(u, v, c);
--u, --v;
mf.add_edge(u, v, c);
}
ll ans = mf.max_flow_push_relabel(s, t);
print(ans);
}
int main() {
CPP_DUMP_SET_OPTION(max_line_width, 80);
CPP_DUMP_SET_OPTION(log_label_func, cpp_dump::log_label::filename());
CPP_DUMP_SET_OPTION(enable_asterisk, true);
int T = 1;
// cin >> T;
while (T--) solve();
return 0;
}
// END: ../sakumon/bonsai/minimum_cut/sol_m1une.cpp