結果
| 問題 | No.2949 Product on Tree |
| ユーザー |
 siro53
|
| 提出日時 | 2024-10-25 22:08:42 |
| 言語 | C++23(gcc13) (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 203 ms / 2,000 ms |
| コード長 | 29,284 bytes |
| コンパイル時間 | 4,197 ms |
| コンパイル使用メモリ | 294,280 KB |
| 実行使用メモリ | 38,356 KB |
| 最終ジャッジ日時 | 2024-10-25 22:09:47 |
| 合計ジャッジ時間 | 13,580 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge1 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
6,816 KB |
| testcase_01 | AC | 2 ms
6,820 KB |
| testcase_02 | AC | 2 ms
6,816 KB |
| testcase_03 | AC | 123 ms
15,468 KB |
| testcase_04 | AC | 146 ms
15,132 KB |
| testcase_05 | AC | 122 ms
15,428 KB |
| testcase_06 | AC | 126 ms
15,472 KB |
| testcase_07 | AC | 139 ms
15,096 KB |
| testcase_08 | AC | 126 ms
15,440 KB |
| testcase_09 | AC | 132 ms
15,372 KB |
| testcase_10 | AC | 126 ms
15,340 KB |
| testcase_11 | AC | 128 ms
15,364 KB |
| testcase_12 | AC | 134 ms
19,376 KB |
| testcase_13 | AC | 139 ms
20,352 KB |
| testcase_14 | AC | 142 ms
23,584 KB |
| testcase_15 | AC | 154 ms
27,800 KB |
| testcase_16 | AC | 143 ms
24,492 KB |
| testcase_17 | AC | 174 ms
25,580 KB |
| testcase_18 | AC | 173 ms
25,104 KB |
| testcase_19 | AC | 180 ms
29,204 KB |
| testcase_20 | AC | 154 ms
28,088 KB |
| testcase_21 | AC | 166 ms
28,404 KB |
| testcase_22 | AC | 153 ms
30,872 KB |
| testcase_23 | AC | 149 ms
15,800 KB |
| testcase_24 | AC | 127 ms
15,584 KB |
| testcase_25 | AC | 132 ms
15,584 KB |
| testcase_26 | AC | 128 ms
15,684 KB |
| testcase_27 | AC | 130 ms
15,688 KB |
| testcase_28 | AC | 134 ms
15,748 KB |
| testcase_29 | AC | 135 ms
15,640 KB |
| testcase_30 | AC | 153 ms
15,776 KB |
| testcase_31 | AC | 149 ms
15,828 KB |
| testcase_32 | AC | 164 ms
16,716 KB |
| testcase_33 | AC | 152 ms
23,116 KB |
| testcase_34 | AC | 181 ms
31,052 KB |
| testcase_35 | AC | 159 ms
25,936 KB |
| testcase_36 | AC | 170 ms
34,256 KB |
| testcase_37 | AC | 168 ms
34,764 KB |
| testcase_38 | AC | 158 ms
29,136 KB |
| testcase_39 | AC | 161 ms
30,156 KB |
| testcase_40 | AC | 191 ms
37,708 KB |
| testcase_41 | AC | 166 ms
32,848 KB |
| testcase_42 | AC | 203 ms
38,356 KB |
| testcase_43 | AC | 62 ms
12,500 KB |
| testcase_44 | AC | 62 ms
12,584 KB |
| testcase_45 | AC | 79 ms
15,432 KB |
| testcase_46 | AC | 71 ms
14,060 KB |
| testcase_47 | AC | 51 ms
11,108 KB |
| testcase_48 | AC | 73 ms
14,560 KB |
ソースコード
#line 1 "main.cpp"
#pragma region Macros
#include <bits/stdc++.h>
using namespace std;
// input output utils
namespace siro53_io {
// https://maspypy.github.io/library/other/io_old.hpp
struct has_val_impl {
template <class T>
static auto check(T &&x) -> decltype(x.val(), std::true_type{});
template <class T> static auto check(...) -> std::false_type;
};
template <class T>
class has_val : public decltype(has_val_impl::check<T>(std::declval<T>())) {
};
// debug
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void dump(const T t) {
cerr << t;
}
template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
void dump(const T t) {
cerr << t;
}
template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
void dump(const T &t) {
cerr << t.val();
}
void dump(__int128_t n) {
if(n == 0) {
cerr << '0';
return;
} else if(n < 0) {
cerr << '-';
n = -n;
}
string s;
while(n > 0) {
s += (char)('0' + n % 10);
n /= 10;
}
reverse(s.begin(), s.end());
cerr << s;
}
void dump(const string &s) { cerr << s; }
void dump(const char *s) {
int n = (int)strlen(s);
for(int i = 0; i < n; i++) cerr << s[i];
}
template <class T1, class T2> void dump(const pair<T1, T2> &p) {
cerr << '(';
dump(p.first);
cerr << ',';
dump(p.second);
cerr << ')';
}
template <class T> void dump(const vector<T> &v) {
cerr << '{';
for(int i = 0; i < (int)v.size(); i++) {
dump(v[i]);
if(i < (int)v.size() - 1) cerr << ',';
}
cerr << '}';
}
template <class T> void dump(const set<T> &s) {
cerr << '{';
for(auto it = s.begin(); it != s.end(); it++) {
dump(*it);
if(next(it) != s.end()) cerr << ',';
}
cerr << '}';
}
template <class Key, class Value> void dump(const map<Key, Value> &mp) {
cerr << '{';
for(auto it = mp.begin(); it != mp.end(); it++) {
dump(*it);
if(next(it) != mp.end()) cerr << ',';
}
cerr << '}';
}
template <class Key, class Value>
void dump(const unordered_map<Key, Value> &mp) {
cerr << '{';
for(auto it = mp.begin(); it != mp.end(); it++) {
dump(*it);
if(next(it) != mp.end()) cerr << ',';
}
cerr << '}';
}
template <class T> void dump(const deque<T> &v) {
cerr << '{';
for(int i = 0; i < (int)v.size(); i++) {
dump(v[i]);
if(i < (int)v.size() - 1) cerr << ',';
}
cerr << '}';
}
template <class T> void dump(queue<T> q) {
cerr << '{';
while(!q.empty()) {
dump(q.front());
if((int)q.size() > 1) cerr << ',';
q.pop();
}
cerr << '}';
}
void debug_print() { cerr << endl; }
template <class Head, class... Tail>
void debug_print(const Head &h, const Tail &...t) {
dump(h);
if(sizeof...(Tail)) dump(' ');
debug_print(t...);
}
// print
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void print_single(const T t) {
cout << t;
}
template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
void print_single(const T t) {
cout << t;
}
template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
void print_single(const T t) {
cout << t.val();
}
void print_single(__int128_t n) {
if(n == 0) {
cout << '0';
return;
} else if(n < 0) {
cout << '-';
n = -n;
}
string s;
while(n > 0) {
s += (char)('0' + n % 10);
n /= 10;
}
reverse(s.begin(), s.end());
cout << s;
}
void print_single(const string &s) { cout << s; }
void print_single(const char *s) {
int n = (int)strlen(s);
for(int i = 0; i < n; i++) cout << s[i];
}
template <class T1, class T2> void print_single(const pair<T1, T2> &p) {
print_single(p.first);
cout << ' ';
print_single(p.second);
}
template <class T> void print_single(const vector<T> &v) {
for(int i = 0; i < (int)v.size(); i++) {
print_single(v[i]);
if(i < (int)v.size() - 1) cout << ' ';
}
}
template <class T> void print_single(const set<T> &s) {
for(auto it = s.begin(); it != s.end(); it++) {
print_single(*it);
if(next(it) != s.end()) cout << ' ';
}
}
template <class T> void print_single(const deque<T> &v) {
for(int i = 0; i < (int)v.size(); i++) {
print_single(v[i]);
if(i < (int)v.size() - 1) cout << ' ';
}
}
template <class T> void print_single(queue<T> q) {
while(!q.empty()) {
print_single(q.front());
if((int)q.size() > 1) cout << ' ';
q.pop();
}
}
void print() { cout << '\n'; }
template <class Head, class... Tail>
void print(const Head &h, const Tail &...t) {
print_single(h);
if(sizeof...(Tail)) print_single(' ');
print(t...);
}
// input
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void input_single(T &t) {
cin >> t;
}
template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
void input_single(T &t) {
cin >> t;
}
template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
void input_single(T &t) {
cin >> t;
}
void input_single(__int128_t &n) {
string s;
cin >> s;
if(s == "0") {
n = 0;
return;
}
bool is_minus = false;
if(s[0] == '-') {
s = s.substr(1);
is_minus = true;
}
n = 0;
for(int i = 0; i < (int)s.size(); i++) n = n * 10 + (int)(s[i] - '0');
if(is_minus) n = -n;
}
void input_single(string &s) { cin >> s; }
template <class T1, class T2> void input_single(pair<T1, T2> &p) {
input_single(p.first);
input_single(p.second);
}
template <class T> void input_single(vector<T> &v) {
for(auto &e : v) input_single(e);
}
void input() {}
template <class Head, class... Tail> void input(Head &h, Tail &...t) {
input_single(h);
input(t...);
}
}; // namespace siro53_io
#ifdef DEBUG
#define debug(...) \
cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debug_print(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif
// io setup
struct Setup {
Setup() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
}
} __Setup;
using namespace siro53_io;
// types
using ll = long long;
using i128 = __int128_t;
// input macros
#define INT(...) \
int __VA_ARGS__; \
input(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
input(__VA_ARGS__)
#define STRING(...) \
string __VA_ARGS__; \
input(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
input(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
input(__VA_ARGS__)
#define LD(...) \
long double __VA_ARGS__; \
input(__VA_ARGS__)
#define UINT(...) \
unsigned int __VA_ARGS__; \
input(__VA_ARGS__)
#define ULL(...) \
unsigned long long __VA_ARGS__; \
input(__VA_ARGS__)
#define VEC(name, type, len) \
vector<type> name(len); \
input(name);
#define VEC2(name, type, len1, len2) \
vector name(len1, vector<type>(len2)); \
input(name);
// other macros
// https://trap.jp/post/1224/
#define OVERLOAD3(_1, _2, _3, name, ...) name
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define REP1(i, n) for(int i = 0; i < int(n); i++)
#define REP2(i, a, b) for(int i = (a); i < int(b); i++)
#define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__)
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define UNIQUE(v) \
sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()), v.shrink_to_fit()
#define REV(v) reverse(ALL(v))
#define SZ(v) ((int)(v).size())
#define MIN(v) (*min_element(ALL(v)))
#define MAX(v) (*max_element(ALL(v)))
// util const
const int INF = 1 << 30;
const ll LLINF = 1LL << 60;
constexpr int MOD = 1000000007;
constexpr int MOD2 = 998244353;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
// util functions
void Case(int i) { cout << "Case #" << i << ": "; }
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
template <class T> inline bool chmax(T &a, T b) {
return (a < b ? a = b, true : false);
}
template <class T> inline bool chmin(T &a, T b) {
return (a > b ? a = b, true : false);
}
template <class T, int dim>
auto make_vector_impl(vector<int>& sizes, const T &e) {
if constexpr(dim == 1) {
return vector(sizes[0], e);
} else {
int n = sizes[dim - 1];
sizes.pop_back();
return vector(n, make_vector_impl<T, dim - 1>(sizes, e));
}
}
template <class T, int dim>
auto make_vector(const int (&sizes)[dim], const T &e = T()) {
vector<int> s(dim);
for(int i = 0; i < dim; i++) s[i] = sizes[dim - i - 1];
return make_vector_impl<T, dim>(s, e);
}
vector<int> iota_gen(int n, int start = 0) {
vector<int> ord(n);
iota(ord.begin(), ord.end(), start);
return ord;
}
template<typename T>
vector<int> ord_sort(const vector<T>& v, bool greater = false) {
auto ord = iota_gen((int)v.size());
sort(ALL(ord), [&](int i, int j) {
if(greater) return v[i] > v[j];
return v[i] < v[j];
});
return ord;
}
#pragma endregion Macros
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
#include <utility>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0) x += m;
return x;
}
struct barrett {
unsigned int _m;
unsigned long long im;
explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
unsigned int umod() const { return _m; }
unsigned int mul(unsigned int a, unsigned int b) const {
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned long long y = x * _m;
return (unsigned int)(z - y + (z < y ? _m : 0));
}
};
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1) return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1) r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
constexpr bool is_prime_constexpr(int n) {
if (n <= 1) return false;
if (n == 2 || n == 7 || n == 61) return true;
if (n % 2 == 0) return false;
long long d = n - 1;
while (d % 2 == 0) d /= 2;
constexpr long long bases[3] = {2, 7, 61};
for (long long a : bases) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0) return {b, 0};
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0) m0 += b / s;
return {s, m0};
}
constexpr int primitive_root_constexpr(int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
unsigned long long floor_sum_unsigned(unsigned long long n,
unsigned long long m,
unsigned long long a,
unsigned long long b) {
unsigned long long ans = 0;
while (true) {
if (a >= m) {
ans += n * (n - 1) / 2 * (a / m);
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
unsigned long long y_max = a * n + b;
if (y_max < m) break;
n = (unsigned long long)(y_max / m);
b = (unsigned long long)(y_max % m);
std::swap(m, a);
}
return ans;
}
} // namespace internal
} // namespace atcoder
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value,
__uint128_t,
unsigned __int128>;
template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value,
make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T>* = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v -= rhs._v;
if (_v >= umod()) _v += umod();
return *this;
}
mint& operator*=(const mint& rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T>* = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0) x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v += mod() - rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator*=(const mint& rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt(998244353);
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
using mint = atcoder::modint998244353;
template <class E, class V, E (*merge)(E, E), E (*e)(), E (*put_edge)(V, int), V (*put_vertex)(E, int)>
struct RerootingDP {
struct edge {
int to, idx, xdi;
};
RerootingDP(int n_ = 0) : n(n_), inner_edge_id(0) {
es.resize(2*n-2);
start.resize(2*n-2);
if (n == 1) es_build();
}
void add_edge(int u, int v, int idx, int xdi){
start[inner_edge_id] = u;
es[inner_edge_id] = {v,idx,xdi};
inner_edge_id++;
start[inner_edge_id] = v;
es[inner_edge_id] = {u,xdi,idx};
inner_edge_id++;
if (inner_edge_id == 2*n-2){
es_build();
}
}
vector<V> build(int root_ = 0){
root = root_;
vector<V> subdp(n); subdp[0] = put_vertex(e(),0);
outs.resize(n);
vector<int> geta(n+1,0);
for (int i = 0; i < n; i++) geta[i+1] = start[i+1] - start[i] - 1;
geta[root+1]++;
for (int i = 0; i < n; i++) geta[i+1] += geta[i];
auto dfs = [&](auto sfs, int v, int f) -> void {
E val = e();
for (int i = start[v]; i < start[v+1]; i++){
if (es[i].to == f){
swap(es[start[v+1]-1],es[i]);
}
if (es[i].to == f) continue;
sfs(sfs,es[i].to,v);
E nval = put_edge(subdp[es[i].to],es[i].idx);
outs[geta[v]++] = nval;
val = merge(val,nval);
}
subdp[v] = put_vertex(val, v);
};
dfs(dfs,root,-1);
return subdp;
}
vector<V> reroot(){
vector<E> reverse_edge(n);
reverse_edge[root] = e();
vector<V> answers(n);
auto dfs = [&](auto sfs, int v) -> void {
int le = outs_start(v);
int ri = outs_start(v+1);
int siz = ri - le;
vector<E> rui(siz+1);
rui[siz] = e();
for (int i = siz-1; i >= 0; i--){
rui[i] = merge(outs[le+i],rui[i+1]);
}
answers[v] = put_vertex(merge(rui[0],reverse_edge[v]),v);
E lui = e();
for (int i = 0; i < siz; i++){
V rdp = put_vertex(merge(merge(lui,rui[i+1]),reverse_edge[v]),v);
reverse_edge[es[start[v]+i].to] = put_edge(rdp,es[start[v]+i].xdi);
lui = merge(lui,outs[le+i]);
sfs(sfs,es[start[v]+i].to);
}
};
dfs(dfs,root);
return answers;
}
private:
int n, root, inner_edge_id;
vector<E> outs;
vector<edge> es;
vector<int> start;
int outs_start(int v){
int res = start[v] - v;
if (root < v) res++;
return res;
}
void es_build(){
vector<edge> nes(2*n-2);
vector<int> nstart(n+2,0);
for (int i = 0; i < 2*n-2; i++) nstart[start[i]+2]++;
for (int i = 0; i < n; i++) nstart[i+1] += nstart[i];
for (int i = 0; i < 2*n-2; i++) nes[nstart[start[i]+1]++] = es[i];
swap(es,nes);
swap(start,nstart);
}
};
int N;
vector<int> A;
mint merge(mint a, mint b){
return a + b;
}
mint e(){
return mint(0);
}
mint put_edge(mint v, int i){
return v;
}
mint put_vertex(mint e, int v){
return mint(A[v]) * (e + 1);
}
void solve() {
cin >> N;
A.resize(N);
REP(i, N) cin >> A[i];
RerootingDP<mint, mint, merge, e, put_edge, put_vertex> rdp(N);
REP(i, N-1) {
INT(u, v);
u--, v--;
rdp.add_edge(u, v, i, i);
}
rdp.build();
auto res = rdp.reroot();
mint ans = 0;
REP(i, N) ans += res[i];
REP(i, N) ans -= A[i];
ans /= 2;
print(ans);
}
int main() {
int T = 1;
// cin >> T;
while(T--) solve();
}