This commit is contained in:
subcrip 2024-05-20 14:45:42 +08:00
parent 8a624618e1
commit 573bb5c6ca
Signed by: subcrip
SSH Key Fingerprint: SHA256:dFPFi68d8C87YkFkEBU4TkcrYRySWpekRR1hbnDWUCw
21 changed files with 7542 additions and 597 deletions

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@ -429,7 +429,7 @@ vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
@ -459,9 +459,12 @@ public:
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
@ -474,23 +477,16 @@ void prep() {
void solve() {
read(int, n);
readvec(int, a, n);
int mn_l = 1;
for (int b = 0; b < 20; ++b) {
int max_dist = 0;
int prev_1 = -1;
for (int i = 0; i < n; ++i) {
if (a[i] >> b & 1) {
max_dist = max(max_dist, i - prev_1);
prev_1 = i;
}
}
if (prev_1 != -1) {
max_dist = max(max_dist, n - prev_1);
mn_l = max(mn_l, max_dist);
}
ll sum = 0;
vector<string> a;
for (int i = 0; i < n; ++i) {
read(string, s);
read(int, c);
a.emplace_back(s);
sum += c;
}
cout << mn_l << '\n';
sort(a.begin(), a.end());
cout << a[sum % n] << '\n';
}
int main() {

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@ -429,7 +429,7 @@ vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
@ -459,9 +459,12 @@ public:
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
@ -474,30 +477,29 @@ void prep() {
void solve() {
read(int, n);
readvec(int, a, n);
vector<int> pos;
for (int i = 1; i < n; i += 2) {
if (a[i] == 1) {
i += 1;
}
if (i == n) break;
pos.emplace_back(i);
}
int target = n;
vector<int> res(n);
sort_by_key(pos.begin(), pos.end(), [&] (int i) { return a[i]; });
for (auto&& i : pos) {
res[i] = target--;
}
vector<int> rem;
vector<tiii> a;
for (int i = 0; i < n; ++i) {
if (not res[i]) rem.emplace_back(i);
read(int, x, y);
a.emplace_back(x, y, i);
}
sort_by_key(rem.begin(), rem.end(), [&] (int i) { return a[i]; });
for (auto&& i : rem) {
res[i] = target--;
sort(a.begin(), a.end());
vector<bool> has(n, 1);
set<pii, greater<>> st;
for (int i = 0; i < n; ++i) {
auto [x, y, j] = a[i];
while (st.size() and st.begin()->first > y) {
has[st.begin()->second] = 0;
st.erase(st.begin());
}
st.emplace(y, j);
}
putvec(res);
cout << count(has.begin(), has.end(), 1) << '\n';
for (int i = 0; i < n; ++i) {
if (has[i]) {
cout << i + 1 << ' ';
}
}
cout << endl;
}
int main() {

622
src/bin/cf-1728e.cc Normal file
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@ -0,0 +1,622 @@
#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
namespace Exgcd {
template <typename T> T abs(T x) { return x < 0 ? -x : x; }
template <typename T>
struct exgcd_solution_t {
T x, y, gcd;
};
template <typename T>
struct diophantine_solution_t {
exgcd_solution_t<T> x_min, y_min;
T range;
};
// solve `ax + by = gcd(a, b)`
template <typename T>
optional<exgcd_solution_t<T>> exgcd(T a, T b) {
if (a < 0 || b < 0 || a == 0 && b == 0) return nullopt;
T x, y, g;
function<void(T, T)> __exgcd = [&__exgcd, &x, &y, &g] (T a, T b) -> void {
if (b == 0) {
g = a, x = 1, y = 0;
} else {
__exgcd(b, a % b);
swap(x, y);
y -= a / b * x;
}
};
__exgcd(a, b);
return {{ x, y, g }};
};
template <typename T>
optional<T> inverse(T a, T b) {
auto raw = exgcd(a, b);
if (raw == nullopt || raw.value().gcd != 1) {
return nullopt;
} else {
return mod(raw.value().x, b);
}
}
// solve { x = a_i (mod n_i) } if n_i's are coprime
template <typename T>
optional<T> crt(const vector<pair<T, T>>& equations) {
T prod = 1;
for (auto&& [a, n] : equations) {
prod *= n;
}
T res = 0;
for (auto&& [a, n] : equations) {
T m = prod / n;
auto m_rev = inverse(m, n);
if (m_rev == nullopt) return nullopt;
res = mod(res + a * mod(m * m_rev.value(), prod), prod);
}
return res;
}
// find minimal non-negative integral solutions of `ax + by = c`. It's not guaranteed that the other variable is non-negative.
template <typename T>
optional<diophantine_solution_t<T>> diophantine(T a, T b, T c, bool force_positive = false) {
if (a < 0 || b < 0 || a == 0 && b == 0) return nullopt;
auto raw = exgcd(a, b).value();
if (c % raw.gcd) {
return nullopt;
} else {
T x = raw.x * c / raw.gcd, y = raw.y * c / raw.gcd;
T kx = force_positive ? (x <= 0 ? (-x) * raw.gcd / b + 1 : 1 - (x + b / raw.gcd - 1) * raw.gcd / b) : (x <= 0 ? ((-x) + b / raw.gcd - 1) * raw.gcd / b : (- x * raw.gcd / b));
T ky = force_positive ? (y <= 0 ? (- 1 - (-y) * raw.gcd / a) : (y + a / raw.gcd - 1) * raw.gcd / a - 1) : (y <= 0 ? (- ((-y) + a / raw.gcd - 1) * raw.gcd / a) : y * raw.gcd / a);
return {{ { x + b * kx / raw.gcd , y - a * kx / raw.gcd , raw.gcd }, { x + b * ky / raw.gcd , y - a * ky / raw.gcd, raw.gcd }, abs(kx - ky) + 1 }};
}
}
// find the minimal non-negative integral solution of `ax = b (mod n)`
template <typename T>
optional<T> congruential(T a, T b, T n) {
if (a == 0) {
if (b != 0) return nullopt;
return 0;
}
if (a < 0 && a != LLONG_MIN && b != LLONG_MIN) a = -a, b = -b;
auto sol = diophantine(a, n, b);
if (sol == nullopt) {
return nullopt;
} else {
return sol.value().x_min.x;
}
}
}
void solve() {
read(ll, n);
readvec(pll, a, n);
sort_by_key(a.begin(), a.end(), [] (const pii& x) { return x.first - x.second; }, greater());
ll tot = 0;
for (int i = 0; i < n; ++i) {
tot += a[i].second;
}
vector<ll> val(n + 1);
val[0] = tot;
for (int i = 0; i < n; ++i) {
tot += a[i].first - a[i].second;
val[i + 1] = tot;
}
read(int, m);
while (m--) {
read(ll, p, q);
// xp+yq=n
auto sol = Exgcd::diophantine(p, q, n);
if (sol == nullopt or sol->x_min.y < 0) {
cout << -1 << '\n';
} else {
ll x0 = sol->x_min.x, y0 = sol->x_min.y, g = sol->x_min.gcd;
// binary search on k, s.t.
// x=x0+k*q/gcd, y=y0-k*p/gcd
ll l = 0, r = y0 * g / p;
while (l < r) {
ll mid = l + r + 1 >> 1;
if (mid - 1 >= 0 and val[(x0 + (mid - 1) * q / g) * p] >= val[(x0 + mid * q / g) * p]) {
r = mid - 1;
} else {
l = mid;
}
}
cout << val[(x0 + l * q / g) * p] << '\n';
}
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
void solve() {
using mll = MLL<MDL>;
read(string, s);
read(string, t);
int n = s.size(), m = t.size();
vector<bool> mark(n);
for (int i = 0; i <= n - m; ++i) {
mark[i] = 1;
for (int j = 0; j < m; ++j) {
if (t[j] != s[i + j]) {
mark[i] = 0;
break;
}
}
}
vector<array<pair<int, mll>, 2>> dp(n + 1, {make_pair(INF, 0), make_pair(INF, 0)});
dp[n][0] = {0, 1};
auto get = [] (const pair<int, mll>& a, const pair<int, mll>& b) -> pair<int, mll> {
if (b.first < a.first) {
return b;
} else if (b.first == a.first) {
return {a.first, a.second + b.second};
} else {
return a;
}
};
for (int i = n - 1; ~i; --i) {
if (mark[i]) {
for (int j = 1; j < m; ++j) {
dp[i][0] = get(dp[i][0], dp[i + j][1]);
}
dp[i][1] = get({1 + dp[i + m][1].first, dp[i + m][1].second}, {1 + dp[i + m][0].first, dp[i + m][0].second});
} else {
dp[i][0] = get(dp[i + 1][0], dp[i + 1][1]);
}
}
if (dp[0][0].first < dp[0][1].first) {
cout << dp[0][0].first << ' ' << dp[0][0].second << '\n';
} else if (dp[0][0].first == dp[0][1].first) {
cout << dp[0][0].first << ' ' << dp[0][0].second + dp[0][1].second << '\n';
} else {
cout << dp[0][1].first << ' ' << dp[0][1].second << '\n';
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

View File

@ -480,6 +480,7 @@ void solve() {
vector<tlii> info;
int zero_cnt_l = 0, zero_cnt_r = 0;
for (int i = 0; i < n; ++i) {
if (i >= r) break;
if (a[i] == 0) {
if (zero_cnt_l == 0) {
while (a[r] == 0) {
@ -509,6 +510,16 @@ void solve() {
zero_cnt_l = 0;
zero_cnt_r = 0;
}
int m = info.size();
MLL<PRIME> res = 1;
for (int i = 0; i < m; ++i) {
auto [v, l, r] = info[i];
if (v == 0) {
if (i != 0 and i != m - 1) {
res = (res * pw2[l] * pw2[r]) + (res * pw3[])
}
}
}
}
int main() {

700
src/bin/cf-1766f.cc Normal file
View File

@ -0,0 +1,700 @@
#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
struct mcmf {
struct edge {
int to;
ll cap;
ll flow;
ll cost;
int rev;
int mark;
};
vector<vector<edge>> edges;
vector<ll> dis;
vector<bool> vis;
ll ret;
mcmf(int n) : edges(n + 1), dis(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, ll cost, int mark = 0, int mark_rev = 0) {
edges[from].push_back({ to, cap, 0, cost, int(edges[to].size()), mark });
edges[to].push_back({ from, 0, 0, -cost, int(edges[from].size() - 1), mark_rev });
}
bool sp(int s, int t) {
dis.assign(edges.size(), INFLL);
dis[s] = 0;
int n = edges.size();
int f = 1;
while (f) {
f = 0;
for (int i = 0; i < n; ++i) {
for (auto&& [to, cap, flow, cost, rev, mark] : edges[i]) {
if (cap > flow and dis[to] > dis[i] + cost) {
dis[to] = dis[i] + cost;
f = 1;
}
}
}
}
return dis[t] != INFLL;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto e = edges[s][i];
if (e.cap > e.flow and dis[e.to] == dis[s] + e.cost) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
ret += nw * e.cost;
if (res == cap) {
return res;
}
}
}
return res;
}
// returns: (flow, cost)
pll run(int s, int t) {
ll res = 0; ret = 0;
while (sp(s, t)) {
vis.assign(edges.size(), 0);
ll curr = dfs(s, t, LLONG_MAX);
res += curr;
}
return { res, ret };
}
};
struct bounded_mcmf {
int n, m, S, T;
mcmf net;
ll sum;
vector<ll> fl;
vector<ll> init;
vector<ll> costs;
bounded_mcmf(int n, int m) : sum(0), n(n), m(m), S(0), T(n + 1), net(n + 1), fl(m), init(n + 1), costs(m) {}
// handle negative loop case
void add_edge(int from, int to, ll low, ll high, ll cost, int edge_id = -1) {
if (cost < 0) {
__add_edge(from, to, high, high, cost, -1);
__add_edge(to, from, 0, high - low, -cost, edge_id);
} else {
__add_edge(from, to, low, high, cost, edge_id);
}
if (edge_id != -1) {
costs[edge_id] = cost;
if (cost < 0) {
fl[edge_id] += high; // RealFlow = UpperBound - Flow
} else {
fl[edge_id] += low; // RealFlow = LowerBound + Flow
}
}
}
void __add_edge(int from, int to, ll low, ll high, ll cost, int edge_id = -1) {
net.add_edge(from, to, high - low, cost, edge_id, -1);
init[to] += low, init[from] -= low;
}
void prep(int s, int t) {
for (int i = 1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i], 0, -1, -1);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i], 0, -1, -1);
}
}
net.add_edge(t, s, INFLL, 0, -1, -1);
}
// min-cost max-flow
optional<tuple<ll, ll, vector<ll>>> run_mcmf(int s, int t) { // BUG: unchecked code
prep(s, t);
if (sum != net.run(S, T).first) {
return nullopt;
} else {
auto [res_flow, res_cost] = net.run(s, t);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, cost, rev, mark] : net.edges[from]) {
if (mark != -1) {
if (costs[mark] < 0) {
fl[mark] -= flow;
} else {
fl[mark] += flow;
}
}
}
}
return {{res_flow, res_cost, fl}};
}
}
// min-cost flow
optional<tuple<ll, ll, vector<ll>>> run_mcf(int s, int t) {
prep(s, t);
auto [res_flow, res_cost] = net.run(S, T);
if (sum != res_flow) {
return nullopt;
} else {
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, cost, rev, mark] : net.edges[from]) {
if (mark != -1) {
if (costs[mark] < 0) {
fl[mark] -= flow;
} else {
fl[mark] += flow;
}
}
}
}
return {{res_flow, res_cost, fl}};
}
}
};
void solve() {
read(int, n, m);
bounded_mcmf net(n, m);
int S = 0, T = n + 1;
vector<int> init(n + 1);
vector<int> res(m);
for (int i = 0; i < m; ++i) {
read(int, u, v, c, w);
if (c & 1) {
// set lower bound for edge
init[v] += 1;
init[u] -= 1;
res[i] += 1;
}
net.add_edge(u, v, 0, c / 2, w, i);
}
for (int i = 1; i <= n; ++i) {
if (i == 1 or i == n) continue;
if (init[i] & 1) { // TODO: why.
cout << "Impossible\n";
return;
}
if (init[i] > 0) {
net.add_edge(1, i, init[i] / 2, init[i] / 2, 0, -1); // TODO: add_edge(S, i, ...)
} else if (init[i] < 0) {
net.add_edge(i, n, -init[i] / 2, -init[i] / 2, 0, -1);
}
}
auto ret = net.run_mcf(1, n);
if (ret == nullopt) {
cout << "Impossible\n";
} else {
cout << "Possible\n";
auto [flow, cost, fl] = ret.value();
for (int i = 0; i < m; ++i) {
res[i] += fl[i] * 2;
}
putvec(res);
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
void solve() {
read(int, n);
readvec(int, a, n);
int mn_l = 1;
for (int b = 0; b < 20; ++b) {
int max_dist = 0;
int prev_1 = -1;
for (int i = 0; i < n; ++i) {
if (a[i] >> b & 1) {
max_dist = max(max_dist, i - prev_1);
prev_1 = i;
}
}
if (prev_1 != -1) {
max_dist = max(max_dist, n - prev_1);
mn_l = max(mn_l, max_dist);
}
}
cout << mn_l << '\n';
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
void solve() {
read(int, n);
readvec(int, a, n);
vector<int> pos;
for (int i = 1; i < n; i += 2) {
if (a[i] == 1) {
i += 1;
}
if (i == n) break;
pos.emplace_back(i);
}
int target = n;
vector<int> res(n);
sort_by_key(pos.begin(), pos.end(), [&] (int i) { return a[i]; });
for (auto&& i : pos) {
res[i] = target--;
}
vector<int> rem;
for (int i = 0; i < n; ++i) {
if (not res[i]) rem.emplace_back(i);
}
sort_by_key(rem.begin(), rem.end(), [&] (int i) { return a[i]; });
for (auto&& i : rem) {
res[i] = target--;
}
putvec(res);
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
void solve() {
read(int, n, k);
int mx = -1;
for (int i = 1; i <= n; ++i) {
cout << "? 1 " << ll(1) * i * n << endl;
read(int, r);
if (r == n) {
mx = i;
break;
}
}
if (mx == -1) exit(825);
for (int i = n / k; i >= 1; --i) {
ll m = ll(1) * mx * i;
int prev = 1;
int f = 1;
for (int j = 1; j <= k; ++j) {
if (prev == n + 1) {
f = 0;
break;
}
cout << "? " << prev << ' ' << m << endl;
read(int, r);
if (r == n + 1) {
f = 0;
break;
}
prev = r + 1;
}
if (f and prev == n + 1) {
// ok
cout << "! " << m << endl;
read(int, stat);
if (stat == -1) {
exit(0);
}
return;
}
}
cout << "! -1" << endl;
read(int, stat);
if (stat == -1) {
exit(0);
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

View File

@ -429,7 +429,7 @@ vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
@ -459,9 +459,12 @@ public:
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
@ -472,32 +475,192 @@ void dump_ignore() {}
void prep() {
}
void solve() {
read(int, n);
readvec(int, a, n);
vector<int> pos;
for (int i = 1; i < n; i += 2) {
if (a[i] == 1) {
i += 1;
struct dinic {
struct edge {
int to;
ll cap;
ll flow;
int rev;
int mark;
};
vector<vector<edge>> edges;
vector<int> layer;
vector<bool> vis;
dinic(int n) : edges(n + 1), layer(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, int mark = 0, int mark_rev = 0) {
edges[from].push_back({ to, cap, 0, int(edges[to].size()), mark });
edges[to].push_back({ from, 0, 0, int(edges[from].size() - 1), mark_rev });
}
bool bfs(int s, int t) {
layer.assign(edges.size(), 0);
deque<pii> dq;
layer[s] = 1;
dq.emplace_back(s, 1);
while (dq.size()) {
popfront(dq, v, l);
for (auto&& e : edges[v]) {
if (layer[e.to] == 0 and e.cap > e.flow) {
layer[e.to] = l + 1;
dq.emplace_back(e.to, l + 1);
}
}
}
if (i == n) break;
pos.emplace_back(i);
return layer[t] != 0;
}
int target = n;
vector<int> res(n);
sort_by_key(pos.begin(), pos.end(), [&] (int i) { return a[i]; });
for (auto&& i : pos) {
res[i] = target--;
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto&& e = edges[s][i];
if (e.cap > e.flow and layer[e.to] == layer[s] + 1) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
if (res == cap) {
return res;
}
}
}
return res;
}
vector<int> rem;
for (int i = 0; i < n; ++i) {
if (not res[i]) rem.emplace_back(i);
ll run(int s, int t) {
ll res = 0;
while (bfs(s, t)) {
vis.assign(edges.size(), 0);
res += dfs(s, t, LLONG_MAX);
}
return res;
}
sort_by_key(rem.begin(), rem.end(), [&] (int i) { return a[i]; });
for (auto&& i : rem) {
res[i] = target--;
};
struct bounded_flow {
int n, m, S, T;
dinic net;
ll sum;
vector<ll> fl;
vector<ll> init;
bounded_flow(int n, int m) : sum(0), n(n), m(m), S(0), T(n + 1), net(n + 1), fl(m), init(n + 1) {}
void add_edge(int from, int to, ll low, ll high, int edge_id = -1) {
if (edge_id != -1) {
fl[edge_id] += low;
}
net.add_edge(from, to, high - low, edge_id, -1);
init[to] += low, init[from] -= low;
}
void prep(int s, int t) {
for (int i = 1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i], -1, -1);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i], -1, -1);
}
}
net.add_edge(t, s, INFLL, INF, -1);
}
optional<pair<ll, vector<ll>>> run_max_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
auto res_flow = net.run(s, t);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
optional<pair<ll, vector<ll>>> run_min_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
int curr;
for (int i = 0; i < m; ++i) {
if (net.edges[t][i].mark == INF) {
net.edges[t][i].cap = 0;
net.edges[net.edges[t][i].to][net.edges[t][i].rev].cap = 0;
curr = net.edges[t][i].flow; // WARN: real flow
break;
}
}
curr -= net.run(t, s);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{curr, fl}};
}
}
optional<pair<ll, vector<ll>>> run_flow(int s, int t) {
prep(s, t);
auto res_flow = net.run(S, T);
if (sum != res_flow) {
return nullopt;
} else {
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
};
void solve() {
read(int, n, m, s, t);
dinic net(n + 1);
int S = 0, T = n + 1;
vector<ll> init(n + 1);
for (int i = 0 ;i < m; ++i) {
read(ll, u, v, lower, upper);
init[v] += lower;
init[u] -= lower;
net.add_edge(u, v, upper - lower);
}
ll sum = 0;
for (int i =1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i]);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i]);
}
}
net.add_edge(t, s, INFLL, 1, 1); // WARN: s->t is wrong
if (sum != net.run(S, T)) {
cout << "please go home to sleep\n";
} else {
int m = net.edges[t].size();
int curr;
for (int i = 0; i < m; ++i) {
if (net.edges[t][i].mark) {
net.edges[t][i].cap = 0;
net.edges[net.edges[t][i].to][net.edges[t][i].rev].cap = 0;
curr = net.edges[t][i].flow; // WARN: real flow
break;
}
}
cout << curr - net.run(t, s) << '\n';
}
putvec(res);
}
int main() {

View File

@ -429,7 +429,7 @@ vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
@ -459,9 +459,12 @@ public:
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
@ -473,48 +476,32 @@ void prep() {
}
void solve() {
read(int, n, k);
int mx = -1;
for (int i = 1; i <= n; ++i) {
cout << "? 1 " << ll(1) * i * n << endl;
read(int, r);
if (r == n) {
mx = i;
break;
read(ll, a, b, c, d);
ll area = 0, rem1 = 0, rem2 = 0, rem3 = 0, rem4 = 0, rem5 = 0, rem6 = 0;
if (mod(a, 4) == 0) {
area = 6, rem1 = 3, rem2 = 3, rem3 = 2, rem4 = 1, rem5 = 1, rem6 = 2;
} else if (mod(a, 4) == 1) {
area = 4, rem1 = 1, rem2 = 3, rem3 = 1, rem4 = 0, rem5 = 2, rem6 = 1;
} else if (mod(a, 4) == 2) {
area = 2, rem1 = 1, rem2 = 1, rem3 = 0, rem4 = 1, rem5 = 1, rem6 = 0;
} else {
area = 4, rem1 = 3, rem2 = 1, rem3 = 1, rem4 = 2, rem5 = 0, rem6 = 1;
}
ll res = 0;
res += (c - a) / 2 * (d - b) / 2 * area;
if ((d - b) & 1) {
if (b & 1) {
res += (c - a) / 2 * rem2;
} else {
res += (c - a) / 2 * rem1;
}
}
if (mx == -1) exit(825);
for (int i = n / k; i >= 1; --i) {
ll m = ll(1) * mx * i;
int prev = 1;
int f = 1;
for (int j = 1; j <= k; ++j) {
if (prev == n + 1) {
f = 0;
break;
if ((c - a) & 1) {
if ((a & 1) == 0) {
if ((b & 1) == 0) {
}
cout << "? " << prev << ' ' << m << endl;
read(int, r);
if (r == n + 1) {
f = 0;
break;
}
prev = r + 1;
}
if (f and prev == n + 1) {
// ok
cout << "! " << m << endl;
read(int, stat);
if (stat == -1) {
exit(0);
}
return;
}
}
cout << "! -1" << endl;
read(int, stat);
if (stat == -1) {
exit(0);
}
}

582
src/bin/loj-101-1.cc Normal file
View File

@ -0,0 +1,582 @@
#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
struct dinic {
struct edge {
int to;
ll cap;
ll flow;
int rev;
};
vector<vector<edge>> edges;
vector<int> layer;
vector<bool> vis;
dinic(int n) : edges(n + 1), layer(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap) {
edges[from].push_back({ to, cap, 0, int(edges[to].size()) });
edges[to].push_back({ from, 0, 0, int(edges[from].size() - 1)});
}
bool bfs(int s, int t) {
layer.assign(edges.size(), 0);
deque<pii> dq;
layer[s] = 1;
dq.emplace_back(s, 1);
while (dq.size()) {
popfront(dq, v, l);
for (auto&& e : edges[v]) {
if (layer[e.to] == 0 and e.cap > e.flow) {
layer[e.to] = l + 1;
dq.emplace_back(e.to, l + 1);
}
}
}
return layer[t] != 0;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto e = edges[s][i];
if (e.cap > e.flow and layer[e.to] == layer[s] + 1) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
if (res == cap) {
return res;
}
}
}
return res;
}
ll run(int s, int t) {
ll res = 0;
while (bfs(s, t)) {
vis.assign(edges.size(), 0);
res += dfs(s, t, LLONG_MAX);
}
return res;
}
};
void prep() {
}
void solve() {
read(int, n, m, s, t);
dinic net(n);
while (m--) {
read(int, u, v, c);
net.add_edge(u, v, c);
}
cout << net.run(s, t) << endl;
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
struct edmonds_karp {
struct edge {
int to;
ll cap;
ll flow;
pair<int, int> rev;
};
vector<vector<edge>> edges;
edmonds_karp(int n) : edges(n + 1) {}
void add_edge(int from, int to, ll cap) {
edges[from].push_back({to, cap, 0, make_pair(to, int(edges[to].size()))});
edges[to].push_back({from, 0, 0, make_pair(from, int(edges[from].size() - 1))});
}
ll run(int s, int t) {
int n = edges.size();
vector<pii> pa_(n + 1);
ll res = 0;
while (1) {
vector<ll> pf(n + 1);
deque<int> dq;
dq.emplace_back(s);
pf[s] = LLONG_MAX;
while (dq.size()) {
int v = dq.front(); dq.pop_front();
for (auto&& [i, ne] : enumerate(edges[v])) {
if (pf[ne.to] == 0 and ne.cap > ne.flow) {
pf[ne.to] = min(pf[v], ne.cap - ne.flow);
pa_[ne.to] = {v, i};
dq.emplace_back(ne.to);
}
}
if (pf[t] != 0) {
break;
}
}
if (pf[t] == 0) {
break;
}
int p = t;
while (pa_[p].first != 0) {
auto [x, y] = pa_[p];
edges[x][y].flow += pf[t];
auto [z, w] = edges[x][y].rev;
edges[z][w].flow -= pf[t];
p = x;
}
res += pf[t];
}
return res;
}
};
void prep() {
}
void solve() {
read(int, n, m, s, t);
edmonds_karp net(n);
while (m--) {
read(int, u, v, c);
net.add_edge(u, v, c);
}
cout << net.run(s, t) << '\n';
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
struct mcmf {
struct edge {
int to;
ll cap;
ll flow;
ll cost;
int rev;
};
vector<vector<edge>> edges;
vector<ll> dis;
vector<bool> vis;
ll ret;
mcmf(int n) : edges(n + 1), dis(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, ll cost) {
edges[from].push_back({ to, cap, 0, cost, int(edges[to].size()) });
edges[to].push_back({ from, 0, 0, -cost, int(edges[from].size() - 1)});
}
bool sp(int s, int t) {
dis.assign(edges.size(), INFLL);
dis[s] = 0;
int n = edges.size();
int f = 1;
while (f) {
f = 0;
for (int i = 0; i < n; ++i) {
for (auto&& [to, cap, flow, cost, rev] : edges[i]) {
if (cap > flow and dis[to] > dis[i] + cost) {
dis[to] = dis[i] + cost;
f = 1;
}
}
}
}
return dis[t] != INFLL;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto e = edges[s][i];
if (e.cap > e.flow and dis[e.to] == dis[s] + e.cost) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
ret += nw * e.cost;
if (res == cap) {
return res;
}
}
}
return res;
}
// returns: (flow, cost)
pll run(int s, int t) {
ll res = 0; ret = 0;
while (sp(s, t)) {
vis.assign(edges.size(), 0);
ll curr = dfs(s, t, LLONG_MAX);
res += curr;
}
return { res, ret };
}
};
void prep() {
}
void solve() {
read(int, n, m);
mcmf net(n);
while (m--) {
read(int, u, v, c, w);
net.add_edge(u, v, c, w);
}
auto [flow, cost] = net.run(1, n);
cout << flow << ' ' << cost << '\n';
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
struct dinic {
struct edge {
int to;
ll cap;
ll flow;
int rev;
int mark;
};
vector<vector<edge>> edges;
vector<int> layer;
vector<bool> vis;
dinic(int n) : edges(n + 1), layer(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, int mark = 0, int mark_rev = 0) {
edges[from].push_back({ to, cap, 0, int(edges[to].size()), mark });
edges[to].push_back({ from, 0, 0, int(edges[from].size() - 1), mark_rev });
}
bool bfs(int s, int t) {
layer.assign(edges.size(), 0);
deque<pii> dq;
layer[s] = 1;
dq.emplace_back(s, 1);
while (dq.size()) {
popfront(dq, v, l);
for (auto&& e : edges[v]) {
if (layer[e.to] == 0 and e.cap > e.flow) {
layer[e.to] = l + 1;
dq.emplace_back(e.to, l + 1);
}
}
}
return layer[t] != 0;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto e = edges[s][i];
if (e.cap > e.flow and layer[e.to] == layer[s] + 1) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
if (res == cap) {
return res;
}
}
}
return res;
}
ll run(int s, int t) {
ll res = 0;
while (bfs(s, t)) {
vis.assign(edges.size(), 0);
res += dfs(s, t, LLONG_MAX);
}
return res;
}
};
struct bounded_flow {
int n, m, S, T;
dinic net;
ll sum;
vector<ll> fl;
vector<ll> init;
bounded_flow(int n, int m) : sum(0), n(n), m(m), S(0), T(n + 1), net(n + 1), fl(m), init(n + 1) {}
void add_edge(int from, int to, ll low, ll high, int edge_id = -1) {
if (edge_id != -1) {
fl[edge_id] += low;
}
net.add_edge(from, to, high - low, edge_id, -1);
init[to] += low, init[from] -= low;
}
void prep(int s, int t) {
for (int i = 1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i], -1, -1);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i], -1, -1);
}
}
net.add_edge(t, s, INFLL, -1, -1);
}
optional<pair<ll, vector<ll>>> run_max_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
auto res_flow = net.run(s, t);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
optional<pair<ll, vector<ll>>> run_flow(int s, int t) {
prep(s, t);
auto res_flow = net.run(S, T);
if (sum != res_flow) {
return nullopt;
} else {
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
};
void solve() {
read(int, n, m);
bounded_flow net(n, m);
for (int i = 0; i < m; ++i) {
read(int, u, v, lower, upper);
net.add_edge(u, v, lower, upper, i);
}
net.run(0, n + 1);
for (auto&& [from, e] : enumerate(net.edges)) {
for (auto&& [to, cap, flow, rev, mark] : e) {
if ((from == 0 or to == n + 1) and flow != cap) {
cout << "NO\n";
return;
}
if (mark != -1) {
res[mark] += flow;
}
}
}
cout << "YES\n";
copy(res.begin(), res.end(), oi<int>(cout, "\n"));
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
struct dinic {
struct edge {
int to;
ll cap;
ll flow;
int rev;
int mark;
};
vector<vector<edge>> edges;
vector<int> layer;
vector<bool> vis;
dinic(int n) : edges(n + 1), layer(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, int mark = 0, int mark_rev = 0) {
edges[from].push_back({ to, cap, 0, int(edges[to].size()), mark });
edges[to].push_back({ from, 0, 0, int(edges[from].size() - 1), mark_rev });
}
bool bfs(int s, int t) {
layer.assign(edges.size(), 0);
deque<pii> dq;
layer[s] = 1;
dq.emplace_back(s, 1);
while (dq.size()) {
popfront(dq, v, l);
for (auto&& e : edges[v]) {
if (layer[e.to] == 0 and e.cap > e.flow) {
layer[e.to] = l + 1;
dq.emplace_back(e.to, l + 1);
}
}
}
return layer[t] != 0;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto e = edges[s][i];
if (e.cap > e.flow and layer[e.to] == layer[s] + 1) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
if (res == cap) {
return res;
}
}
}
return res;
}
ll run(int s, int t) {
ll res = 0;
while (bfs(s, t)) {
vis.assign(edges.size(), 0);
res += dfs(s, t, LLONG_MAX);
}
return res;
}
};
struct bounded_flow {
int n, m, S, T;
dinic net;
ll sum;
vector<ll> fl;
vector<ll> init;
bounded_flow(int n, int m) : sum(0), n(n), m(m), S(0), T(n + 1), net(n + 1), fl(m), init(n + 1) {}
void add_edge(int from, int to, ll low, ll high, int edge_id = -1) {
if (edge_id != -1) {
fl[edge_id] += low;
}
net.add_edge(from, to, high - low, edge_id, -1);
init[to] += low, init[from] -= low;
}
void prep(int s, int t) {
for (int i = 1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i], -1, -1);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i], -1, -1);
}
}
net.add_edge(t, s, INFLL, -1, -1);
}
optional<pair<ll, vector<ll>>> run_max_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
auto res_flow = net.run(s, t);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
optional<pair<ll, vector<ll>>> run_flow(int s, int t) {
prep(s, t);
auto res_flow = net.run(S, T);
if (sum != res_flow) {
return nullopt;
} else {
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
};
void solve() {
read(int, n, m, s, t);
bounded_flow net(n, m);
for (int i = 0 ;i < m; ++i) {
read(int, u, v, lower, upper);
net.add_edge(u, v, lower, upper, i);
}
auto res = net.run_max_flow(s, t);
if (res == nullopt) {
cout << "please go home to sleep\n";
} else {
auto [flow, fl] = res.value();
cout << flow << '\n';
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

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#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
struct dinic {
struct edge {
int to;
ll cap;
ll flow;
int rev;
int mark;
};
vector<vector<edge>> edges;
vector<int> layer;
vector<bool> vis;
dinic(int n) : edges(n + 1), layer(n + 1), vis(n + 1) {}
void add_edge(int from, int to, ll cap, int mark = 0, int mark_rev = 0) {
edges[from].push_back({ to, cap, 0, int(edges[to].size()), mark });
edges[to].push_back({ from, 0, 0, int(edges[from].size() - 1), mark_rev });
}
bool bfs(int s, int t) {
layer.assign(edges.size(), 0);
deque<pii> dq;
layer[s] = 1;
dq.emplace_back(s, 1);
while (dq.size()) {
popfront(dq, v, l);
for (auto&& e : edges[v]) {
if (layer[e.to] == 0 and e.cap > e.flow) {
layer[e.to] = l + 1;
dq.emplace_back(e.to, l + 1);
}
}
}
return layer[t] != 0;
}
ll dfs(int s, int t, ll cap) {
if (vis[s]) {
return 0;
}
vis[s] = 1;
if (s == t) {
return cap;
}
ll res = 0;
int n = edges[s].size();
for (int i = 0; i < n; ++i) {
auto&& e = edges[s][i];
if (e.cap > e.flow and layer[e.to] == layer[s] + 1) {
ll nw = dfs(e.to, t, min(cap - res, e.cap - e.flow));
edges[s][i].flow += nw;
edges[e.to][e.rev].flow -= nw;
res += nw;
if (res == cap) {
return res;
}
}
}
return res;
}
ll run(int s, int t) {
ll res = 0;
while (bfs(s, t)) {
vis.assign(edges.size(), 0);
res += dfs(s, t, LLONG_MAX);
}
return res;
}
};
struct bounded_flow {
int n, m, S, T;
dinic net;
ll sum;
vector<ll> fl;
vector<ll> init;
bounded_flow(int n, int m) : sum(0), n(n), m(m), S(0), T(n + 1), net(n + 1), fl(m), init(n + 1) {}
void add_edge(int from, int to, ll low, ll high, int edge_id = -1) {
if (edge_id != -1) {
fl[edge_id] += low;
}
net.add_edge(from, to, high - low, edge_id, -1);
init[to] += low, init[from] -= low;
}
void prep(int s, int t) {
for (int i = 1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i], -1, -1);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i], -1, -1);
}
}
net.add_edge(t, s, INFLL, INF, -1);
}
optional<pair<ll, vector<ll>>> run_max_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
auto res_flow = net.run(s, t);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
optional<pair<ll, vector<ll>>> run_min_flow(int s, int t) {
prep(s, t);
if (sum != net.run(S, T)) {
return nullopt;
} else {
int curr;
for (int i = 0; i < m; ++i) {
if (net.edges[t][i].mark == INF) {
net.edges[t][i].cap = 0;
net.edges[net.edges[t][i].to][net.edges[t][i].rev].cap = 0;
curr = net.edges[t][i].flow; // WARN: real flow
break;
}
}
curr -= net.run(t, s);
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{curr, fl}};
}
}
optional<pair<ll, vector<ll>>> run_flow(int s, int t) { // BUG: unchecked code
prep(s, t);
auto res_flow = net.run(S, T);
if (sum != res_flow) {
return nullopt;
} else {
for (int from = 1; from <= n; ++from) {
for (auto&& [to, cap, flow, rev, mark] : net.edges[from]) {
if (mark != -1 and mark != INF) {
fl[mark] += flow;
}
}
}
return {{res_flow, fl}};
}
}
};
void solve() {
read(int, n, m, s, t);
dinic net(n + 1);
int S = 0, T = n + 1;
vector<ll> init(n + 1);
for (int i = 0 ;i < m; ++i) {
read(ll, u, v, lower, upper);
init[v] += lower;
init[u] -= lower;
net.add_edge(u, v, upper - lower);
}
ll sum = 0;
for (int i =1; i <= n; ++i) {
if (init[i] > 0) {
net.add_edge(S, i, init[i]);
sum += init[i];
} else if (init[i] < 0) {
net.add_edge(i, T, -init[i]);
}
}
net.add_edge(t, s, INFLL, 1, 1); // WARN: s->t is wrong
if (sum != net.run(S, T)) {
cout << "please go home to sleep\n";
} else {
int m = net.edges[t].size();
int curr;
for (int i = 0; i < m; ++i) {
if (net.edges[t][i].mark) {
net.edges[t][i].cap = 0;
net.edges[net.edges[t][i].to][net.edges[t][i].rev].cap = 0;
curr = net.edges[t][i].flow; // WARN: real flow
break;
}
}
cout << curr - net.run(t, s) << '\n';
}
}
int main() {
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie, cout.tie(NULL);
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}

View File

@ -1,9 +1,13 @@
4
4
1 2 3 4
4
4 3 1 2
6
6 5 1 4 2 3
8
1 2 4 5 7 6 8 3
7 12 6 7
6 1 0 2147483647
1 7 0 2147483647
6 2 0 2147483647
2 7 0 2147483647
6 3 0 2147483647
3 7 0 2147483647
6 4 0 2147483647
4 7 0 2147483647
6 5 0 2147483647
5 7 0 2147483647
5 1 1 2147483647
3 4 1 2147483647

View File

@ -429,7 +429,7 @@ vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
@ -459,9 +459,12 @@ public:
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
/////////////////////////////////////////////////////////
// #define SINGLE_TEST_CASE
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000

View File

@ -1,500 +1,99 @@
#pragma GCC optimize("Ofast")
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include <iostream>
#include <cstring>
#include <algorithm>
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) remove_reference<decltype(container)>::type
const int N = 50010, M = (N + 125003) * 2, INF = 2147483647;
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using pid = pair<int, ld>;
using pdi = pair<ld, int>;
using pld = pair<ll, ld>;
using pdl = pair<ld, ll>;
using pdd = pair<ld, ld>;
using tlll = tuple<ll, ll, ll>;
using tlld = tuple<ll, ll, ld>;
using tlli = tuple<ll, ll, int>;
using tldl = tuple<ll, ld, ll>;
using tldd = tuple<ll, ld, ld>;
using tldi = tuple<ll, ld, int>;
using tlil = tuple<ll, int, ll>;
using tlid = tuple<ll, int, ld>;
using tlii = tuple<ll, int, int>;
using tdll = tuple<ld, ll, ll>;
using tdld = tuple<ld, ll, ld>;
using tdli = tuple<ld, ll, int>;
using tddl = tuple<ld, ld, ll>;
using tddd = tuple<ld, ld, ld>;
using tddi = tuple<ld, ld, int>;
using tdil = tuple<ld, int, ll>;
using tdid = tuple<ld, int, ld>;
using tdii = tuple<ld, int, int>;
using till = tuple<int, ll, ll>;
using tild = tuple<int, ll, ld>;
using tili = tuple<int, ll, int>;
using tidl = tuple<int, ld, ll>;
using tidd = tuple<int, ld, ld>;
using tidi = tuple<int, ld, int>;
using tiil = tuple<int, int, ll>;
using tiid = tuple<int, int, ld>;
using tiii = tuple<int, int, int>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
int n, m, S, T;
int h[N], e[M], f[M], ne[M], idx;
int q[N], d[N], cur[N], A[N];
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
void add(int a, int b, int c)
{
e[idx] = b, f[idx] = c, ne[idx] = h[a], h[a] = idx ++ ;
e[idx] = a, f[idx] = 0, ne[idx] = h[b], h[b] = idx ++ ;
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
bool bfs()
{
int hh = 0, tt = 0;
memset(d, -1, sizeof d);
q[0] = S, d[S] = 0, cur[S] = h[S];
while (hh <= tt)
{
int t = q[hh ++ ];
for (int i = h[t]; ~i; i = ne[i])
{
int ver = e[i];
if (d[ver] == -1 && f[i])
{
d[ver] = d[t] + 1;
cur[ver] = h[ver];
if (ver == T) return true;
q[ ++ tt] = ver;
}
}
}
return dest;
return false;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* math */
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
int find(int u, int limit)
{
if (u == T) return limit;
int flow = 0;
for (int i = cur[u]; ~i && flow < limit; i = ne[i])
{
cur[u] = i;
int ver = e[i];
if (d[ver] == d[u] + 1 && f[i])
{
int t = find(ver, min(f[i], limit - flow));
if (!t) d[ver] = -1;
f[i] -= t, f[i ^ 1] += t, flow += t;
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
return flow;
}
int dinic()
{
int r = 0, flow;
while (bfs()) while (flow = find(S, INF)) r += flow;
return r;
}
int main()
{
int s, t;
scanf("%d%d%d%d", &n, &m, &s, &t);
S = 0, T = n + 1;
memset(h, -1, sizeof h);
while (m -- )
{
int a, b, c, d;
scanf("%d%d%d%d", &a, &b, &c, &d);
add(a, b, d - c);
A[a] -= c, A[b] += c;
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
int tot = 0;
for (int i = 1; i <= n; i ++ )
if (A[i] > 0) add(S, i, A[i]), tot += A[i];
else if (A[i] < 0) add(i, T, -A[i]);
add(t, s, INF);
if (dinic() < tot) puts("please go home to sleep");
else
{
int res = f[idx - 1];
S = t, T = s;
f[idx - 1] = f[idx - 2] = 0;
printf("%d\n", res - dinic());
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
return 0;
}
/* string algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
struct MLLd {
ll val, mdl;
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
MLLd(const MLLd& other) : val(other.val) {}
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, lhs.mdl); }
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, lhs.mdl); }
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, lhs.mdl); }
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl); }
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, lhs.mdl); }
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
ostream& operator<<(ostream& out, const MLLd& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
istream& operator>>(istream& in, MLLd& num) {
return in >> num.val;
}
// miscancellous
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; a_it != a_last and b_it != b_last; ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
/////////////////////////////////////////////////////////
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
constexpr int MAXN = 1e6 + 10;
using mll = MLL<MDL>;
mll fact[MAXN], pw2[MAXN], pw3[MAXN];
void prep() {
fact[0] = 1, pw2[0] = 1, pw3[0] = 1;
for (int i = 1; i < MAXN; ++i) {
fact[i] = fact[i - 1] * i;
pw3[i] = pw3[i - 1] * 3;
pw2[i] = pw2[i - 1] * 2;
}
}
mll comb(int n, int k) {
if (n < 0 or k < 0 or n < k) return 0;
return fact[n] / fact[k] / fact[n - k];
}
int main() {
prep();
int t = 10;
array<mll, 10> s;
for (int i = 0; i < 10; ++i) {
s[i] = 0;
for (int j = 0; j <= i; ++j) {
s[i] += comb(i, j) * pw3[t - j] * comb(t, j);
}
if (i >= 2) assert(s[i] == 1 + 10 * s[i - 1] / 9 - (i - 1) * comb(t, i - 2) / pw3[i]);
}
}