backup
This commit is contained in:
parent
fb845310ca
commit
eee9405b72
SSH Key Fingerprint:
SHA256:dFPFi68d8C87YkFkEBU4TkcrYRySWpekRR1hbnDWUCw
|
|
@ -0,0 +1,550 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#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, s, t, m);
|
||||
|
||||
constexpr int N = 3e5 + 5;
|
||||
constexpr int M = 1e3 + 5;
|
||||
|
||||
vector<bitset<M>> r(s + 1);
|
||||
vector<vector<int>> l(t + 1);
|
||||
while (m--) {
|
||||
read(int, u, v);
|
||||
r[u][v - s] = 1;
|
||||
l[v - s].emplace_back(u);
|
||||
}
|
||||
|
||||
vector<bitset<M>> lr(t + 1);
|
||||
for (int i = 1; i <= t; ++i) {
|
||||
for (auto&& j : l[i]) {
|
||||
lr[i] |= r[j];
|
||||
}
|
||||
}
|
||||
|
||||
pii res;
|
||||
for (int i = 1; i <= t; ++i) {
|
||||
for (int j = i + 1; j <= t; ++j) {
|
||||
if (lr[i][j] and lr[j][i]) {
|
||||
res = {i, j};
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if (res == make_pair(0, 0)) {
|
||||
cout << -1 << endl;
|
||||
} else {
|
||||
auto [u, v] = res;
|
||||
cout << u + s << ' ' << v + s;
|
||||
|
||||
bitset<N> l1;
|
||||
for (auto&& i : l[u]) {
|
||||
l1[i] = 1;
|
||||
}
|
||||
|
||||
int cnt = 0;
|
||||
for (auto&& i : l[v]) {
|
||||
if (cnt == 2) break;
|
||||
if (l1[i]) {
|
||||
cout << ' ' << i;
|
||||
++cnt;
|
||||
}
|
||||
}
|
||||
|
||||
cout << endl;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -0,0 +1,522 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#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<PRIME>;
|
||||
|
||||
read(int, n);
|
||||
readvec(int, a, n);
|
||||
|
||||
vector dp(n + 1, array<mll, 1 << 11>());
|
||||
dp[0][1] = 1;
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
for (int j = 1; j <= min(a[i - 1], 10); ++j) {
|
||||
for (int k = 1; k < (1 << 11); ++k) {
|
||||
dp[i][k | (k << j & ((1 << 11) - 1))] += dp[i - 1][k];
|
||||
}
|
||||
}
|
||||
for (int k = 1; k < (1 << 11); ++k) {
|
||||
dp[i][k] += dp[i - 1][k] * max(0, a[i - 1] - 10);
|
||||
}
|
||||
}
|
||||
|
||||
mll res = 0;
|
||||
for (int k = 1; k < (1 << 11); ++k) {
|
||||
if (k & 1 << 10) {
|
||||
res += dp[n][k];
|
||||
}
|
||||
}
|
||||
cout << res / accumulate(a.begin(), a.end(), mll(1), [] (const mll& x, const mll& y) { return x * y; }) << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -0,0 +1,530 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#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);
|
||||
adj(ch, n);
|
||||
for (int i = 0; i < n - 1; ++i) {
|
||||
read(int, u, v);
|
||||
edge(ch, u, v);
|
||||
}
|
||||
|
||||
vector<int> sz(n + 1);
|
||||
auto dfs2 = [&] (auto dfs2, int v, int pa) -> void {
|
||||
sz[v] = 1;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
dfs2(dfs2, u, v);
|
||||
sz[v] += sz[u];
|
||||
}
|
||||
};
|
||||
dfs2(dfs2, 1, 0);
|
||||
|
||||
ll res = 0;
|
||||
auto dfs = [&] (auto dfs, int v, int pa) -> void {
|
||||
int up = n - sz[v];
|
||||
res += ll(1) * up * (sz[v] - 1);
|
||||
int prev = 0;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
dfs(dfs, u, v);
|
||||
prev += sz[u];
|
||||
res += ll(1) * sz[u] * (sz[v] - 1 - prev);
|
||||
}
|
||||
};
|
||||
dfs(dfs, 1, 0);
|
||||
|
||||
cout << ll(1) * n * (n - 1) * (n - 2) / 6 - res << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -0,0 +1,589 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
class quick_union {
|
||||
private:
|
||||
vector<size_t> c, sz;
|
||||
public:
|
||||
quick_union(size_t n) : c(n), sz(n) {
|
||||
iota(c.begin(), c.end(), 0);
|
||||
sz.assign(n, 1);
|
||||
}
|
||||
|
||||
size_t query(size_t i) {
|
||||
if (c[i] != i) c[i] = query(c[i]);
|
||||
return c[i];
|
||||
}
|
||||
|
||||
void merge(size_t i, size_t j) {
|
||||
if (connected(i, j)) return;
|
||||
sz[query(j)] += sz[query(i)];
|
||||
c[query(i)] = query(j);
|
||||
}
|
||||
bool connected(size_t i, size_t j) {
|
||||
return query(i) == query(j);
|
||||
}
|
||||
size_t query_size(size_t i) {
|
||||
return sz[query(i)];
|
||||
}
|
||||
};
|
||||
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
vector<tuple<int, int, int, int>> edges;
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, u, v);
|
||||
read(char, w);
|
||||
edges.emplace_back(u, v, w == 'B', i + 1);
|
||||
}
|
||||
|
||||
vector<int> a(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
read(char, w);
|
||||
a[i] = w == 'B';
|
||||
}
|
||||
|
||||
array<vector<tuple<int, int, int, int>>, 3> cand;
|
||||
for (auto&& [u, v, w, i] : edges) {
|
||||
if (a[u] == a[v] and a[u] == w) {
|
||||
cand[0].emplace_back(u, v, w, i);
|
||||
} else if (a[u] == w or a[v] == w) {
|
||||
cand[1].emplace_back(u, v, w, i);
|
||||
} else {
|
||||
cand[2].emplace_back(u, v, w, i);
|
||||
}
|
||||
}
|
||||
|
||||
quick_union qu(n + 1);
|
||||
vector<int> res;
|
||||
vector<int> sat(n + 1);
|
||||
for (auto&& [u, v, w, i] : cand[0]) {
|
||||
if (qu.connected(u, v)) continue;
|
||||
if (sat[u] and sat[v]) {
|
||||
cand[2].emplace_back(u, v, w, i);
|
||||
} else if (sat[u] or sat[v]) {
|
||||
cand[1].emplace_back(u, v, w, i);
|
||||
} else {
|
||||
qu.merge(u, v);
|
||||
res.emplace_back(i);
|
||||
sat[u] = 1; sat[v] = 1;
|
||||
}
|
||||
}
|
||||
|
||||
for (auto&& [u, v, w, i] : cand[1]) {
|
||||
if (qu.connected(u, v)) continue;
|
||||
if ((w != a[u] or sat[u]) and (w != a[v] or sat[v])) {
|
||||
cand[2].emplace_back(u, v, w, i);
|
||||
} else {
|
||||
qu.merge(u, v);
|
||||
res.emplace_back(i);
|
||||
if (w == a[u]) sat[u] = 1;
|
||||
if (w == a[v]) sat[v] = 1;
|
||||
}
|
||||
}
|
||||
|
||||
for (auto&& [u, v, w, i] : cand[2]) {
|
||||
if (qu.connected(u, v)) continue;
|
||||
qu.merge(u, v);
|
||||
res.emplace_back(i);
|
||||
}
|
||||
|
||||
if (count(sat.begin() + 1, sat.end(), 0) != 0) {
|
||||
cout << "No\n";
|
||||
} else {
|
||||
cout << "Yes\n";
|
||||
putvec(res);
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -0,0 +1,525 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#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<PRIME>;
|
||||
|
||||
read(int, n);
|
||||
read(string, a);
|
||||
|
||||
vector dp(2 * n + 1, vector<pair<mll, mll>>(2 * n + 1));
|
||||
dp[0][n] = { 1, 0 };
|
||||
for (int i = 1; i <= 2 * n; ++i) {
|
||||
if (a[i - 1] == '+' or a[i - 1] == '?') {
|
||||
for (int j = 0; j + 1 <= 2 * n; ++j) {
|
||||
dp[i][j + 1] = { dp[i][j + 1].first + dp[i - 1][j].first, dp[i][j + 1].second + dp[i - 1][j].second + dp[i - 1][j].first * abs(j - n) };
|
||||
}
|
||||
}
|
||||
if (a[i - 1] == '-' or a[i - 1] == '?') {
|
||||
for (int j = 1; j <= 2 * n; ++j) {
|
||||
dp[i][j - 1] = { dp[i][j - 1].first + dp[i - 1][j].first, dp[i][j - 1].second + dp[i - 1][j].second + dp[i - 1][j].first * abs(j - n) };
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// for (int i = 0; i <= 2 * n; ++i) {
|
||||
// for (int j = 0; j <= 2 * n; ++j) {
|
||||
// cerr << dp[i][j] << ' ';
|
||||
// }
|
||||
// cerr << endl;
|
||||
// }
|
||||
|
||||
cout << dp[2 * n][n].second << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -0,0 +1,572 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code 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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
class quick_union {
|
||||
private:
|
||||
vector<size_t> c, sz;
|
||||
public:
|
||||
quick_union(size_t n) : c(n), sz(n) {
|
||||
iota(c.begin(), c.end(), 0);
|
||||
sz.assign(n, 1);
|
||||
}
|
||||
|
||||
size_t query(size_t i) {
|
||||
if (c[i] != i) c[i] = query(c[i]);
|
||||
return c[i];
|
||||
}
|
||||
|
||||
void merge(size_t i, size_t j) {
|
||||
if (connected(i, j)) return;
|
||||
sz[query(j)] += sz[query(i)];
|
||||
c[query(i)] = query(j);
|
||||
}
|
||||
bool connected(size_t i, size_t j) {
|
||||
return query(i) == query(j);
|
||||
}
|
||||
size_t query_size(size_t i) {
|
||||
return sz[query(i)];
|
||||
}
|
||||
};
|
||||
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
vector<tiii> edges;
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, u, v, w);
|
||||
edges.emplace_back(w, u, v);
|
||||
}
|
||||
sort(edges.begin(), edges.end());
|
||||
|
||||
vector<vector<pii>> e(n + 1);
|
||||
quick_union qu(n + 1);
|
||||
for (auto& [w, u, v] : edges) {
|
||||
if (qu.connected(u, v)) continue;
|
||||
e[u].emplace_back(v, w);
|
||||
e[v].emplace_back(u, w);
|
||||
qu.merge(u, v);
|
||||
}
|
||||
|
||||
ll res = INFLL;
|
||||
vector<int> trace;
|
||||
vector<int> color(n + 1);
|
||||
auto dfs = [&] (auto dfs, int v, int pa, int curr) -> void {
|
||||
color[v] = curr;
|
||||
vector<int> sub;
|
||||
for (auto&& [u, w] : e[v]) {
|
||||
if (u == pa) continue;
|
||||
sub.emplace_back(w);
|
||||
trace.emplace_back(w);
|
||||
dfs(dfs, u, v, 1 ^ curr);
|
||||
trace.pop_back();
|
||||
}
|
||||
|
||||
if (sub.size() >= 2) {
|
||||
partial_sort(sub.begin(), sub.begin() + 2, sub.end());
|
||||
chmin(res, sub[0] + sub[1]);
|
||||
}
|
||||
|
||||
if (trace.size() >= 2) {
|
||||
chmin(res, trace[trace.size() - 1] + trace[trace.size() - 2]);
|
||||
}
|
||||
};
|
||||
dfs(dfs, 1, 0, 0);
|
||||
|
||||
for (auto&& [w, u, v] : edges) {
|
||||
if (color[u] == color[v]) {
|
||||
chmin(res, w);
|
||||
}
|
||||
}
|
||||
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
}
|
||||
|
|
@ -2,6 +2,7 @@
|
|||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
|
|
@ -467,37 +468,34 @@ void prep() {
|
|||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, M);
|
||||
using mll = MLL<PRIME>;
|
||||
|
||||
vector<ll> fact(n + 1), pw(n + 1), factinv(n + 1);
|
||||
fact[0] = 1, pw[0] = 1;
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
fact[i] = (fact[i - 1] * i) % M;
|
||||
factinv[i] = inverse(fact[i], M);
|
||||
pw[i] = (pw[i - 1] * 2) % M;
|
||||
}
|
||||
read(int, n);
|
||||
read(string, a);
|
||||
|
||||
auto combination = [&] (int n, int k) -> ll {
|
||||
return (((fact[n] * factinv[k]) % M) * factinv[n - k]) % M;
|
||||
};
|
||||
|
||||
vector dp(n + 1, vector<ll>(n + 1));
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
for (int j = 1; j <= i - 2; ++j) {
|
||||
for (int k = 1; k <= i - j - 1; ++k) {
|
||||
dp[i][j + k] = (dp[i][j + k] + ((((dp[i - j - 1][k] * combination(j + k, k)) % M) * pw[j - 1]) % M)) % M;
|
||||
vector dp(2 * n + 1, vector<pair<mll, mll>>(2 * n + 1));
|
||||
dp[0][n] = { 1, 0 };
|
||||
for (int i = 1; i <= 2 * n; ++i) {
|
||||
if (a[i - 1] == '+' or a[i - 1] == '?') {
|
||||
for (int j = 0; j + 1 <= 2 * n; ++j) {
|
||||
dp[i][j + 1] = { dp[i][j + 1].first + dp[i - 1][j].first, dp[i][j + 1].second + dp[i - 1][j].second + dp[i - 1][j].first * abs(j - n) };
|
||||
}
|
||||
}
|
||||
if (a[i - 1] == '-' or a[i - 1] == '?') {
|
||||
for (int j = 1; j <= 2 * n; ++j) {
|
||||
dp[i][j - 1] = { dp[i][j - 1].first + dp[i - 1][j].first, dp[i][j - 1].second + dp[i - 1][j].second + dp[i - 1][j].first * abs(j - n) };
|
||||
}
|
||||
}
|
||||
dp[i][i] = (dp[i][i] + pw[i - 1]) % M;
|
||||
// debug(accumulate(dp[i].begin(), dp[i].end(), ll(0), [&] (ll a, ll b) { return (a + b) % M; }));
|
||||
}
|
||||
|
||||
ll res = 0;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
res = (res + dp[n][i]) % M;
|
||||
for (int i = 0; i <= 2 * n; ++i) {
|
||||
for (int j = 0; j <= 2 * n; ++j) {
|
||||
cerr << dp[i][j] << ' ';
|
||||
}
|
||||
cerr << endl;
|
||||
}
|
||||
|
||||
cout << res << '\n';
|
||||
cout << dp[2 * n][n].second << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
|
|
|||
|
|
@ -1,2 +1,3 @@
|
|||
400 234567899
|
||||
17
|
||||
??????????????????????????????????
|
||||
|
||||
|
|
|
|||
|
|
@ -2,6 +2,7 @@
|
|||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC diagnostic ignored "-Wlogical-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
|
|
@ -368,42 +369,17 @@ template <ll mdl> struct MLL {
|
|||
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) : mdl(other.mdl), val(other.val) {}
|
||||
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val + rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val - rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl)); }
|
||||
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, 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 T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
|
|
|
|||
525
src/bin/test.cc
525
src/bin/test.cc
|
|
@ -1,523 +1,10 @@
|
|||
#pragma GCC diagnostic ignored "-Wunused-const-variable"
|
||||
#pragma GCC diagnostic ignored "-Wreorder"
|
||||
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
|
||||
#pragma GCC diagnostic ignored "-Wshift-op-parentheses"
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
#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;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
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 faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#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, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
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, 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;
|
||||
}
|
||||
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;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* 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 */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
|
||||
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; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
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 initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
template <typename T, size_t N>
|
||||
array<T, N> __initarray(const T& init) {
|
||||
array<T, N> res;
|
||||
for (size_t i = 0; i < N; ++i) {
|
||||
res[i] = init;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#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<234567899>;
|
||||
read(int, n, M);
|
||||
|
||||
vector<mll> fact(n + 1), pw(n + 1);
|
||||
fact[0] = 1, pw[0] = 1;
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
fact[i] = fact[i - 1] * i;
|
||||
pw[i] = pw[i - 1] * 2;
|
||||
}
|
||||
|
||||
vector dp(n + 1, vector<mll>(n + 1));
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
for (int j = 1; j <= i - 2; ++j) {
|
||||
for (int k = 1; k <= i - j - 1; ++k) {
|
||||
dp[i][j] += dp[i - j - 1][k] * comb(j + k, k) * pw[j - 1];
|
||||
}
|
||||
}
|
||||
dp[i][i] = dp[i][i] + pw[i - 1];
|
||||
// debug(accumulate(dp[i].begin(), dp[i].end(), ll(0), [&] (ll a, ll b) { return (a + b) % M; }));
|
||||
}
|
||||
|
||||
mll res = 0;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
res += dp[n][i];
|
||||
}
|
||||
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
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
|
||||
auto test = [] {
|
||||
cout << "Hello, world!\n";
|
||||
};
|
||||
|
||||
test();
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue