結果
| 問題 | No.1600 Many Shortest Path Problems |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2021-07-09 22:17:42 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 25,774 bytes |
| コンパイル時間 | 4,124 ms |
| コンパイル使用メモリ | 292,052 KB |
| 実行使用メモリ | 65,836 KB |
| 最終ジャッジ日時 | 2023-09-14 09:32:55 |
| 合計ジャッジ時間 | 27,061 ms |
|
ジャッジサーバーID （参考情報） |
judge12 / judge13 |
（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
4,376 KB |
| testcase_01 | AC | 3 ms
4,376 KB |
| testcase_02 | AC | 3 ms
4,376 KB |
| testcase_03 | AC | 3 ms
4,376 KB |
| testcase_04 | AC | 1,021 ms
65,120 KB |
| testcase_05 | AC | 1,054 ms
64,952 KB |
| testcase_06 | AC | 3 ms
4,380 KB |
| testcase_07 | AC | 3 ms
4,376 KB |
| testcase_08 | AC | 2 ms
4,380 KB |
| testcase_09 | AC | 2 ms
4,380 KB |
| testcase_10 | WA | - |
| testcase_11 | WA | - |
| testcase_12 | WA | - |
| testcase_13 | WA | - |
| testcase_14 | WA | - |
| testcase_15 | WA | - |
| testcase_16 | AC | 3 ms
4,376 KB |
| testcase_17 | WA | - |
| testcase_18 | WA | - |
| testcase_19 | AC | 3 ms
4,380 KB |
| testcase_20 | AC | 2 ms
4,376 KB |
| testcase_21 | WA | - |
| testcase_22 | AC | 3 ms
4,384 KB |
| testcase_23 | AC | 3 ms
4,380 KB |
| testcase_24 | WA | - |
| testcase_25 | AC | 2 ms
4,380 KB |
| testcase_26 | AC | 2 ms
4,376 KB |
| testcase_27 | AC | 3 ms
4,376 KB |
| testcase_28 | AC | 3 ms
4,380 KB |
| testcase_29 | WA | - |
| testcase_30 | WA | - |
| testcase_31 | WA | - |
| testcase_32 | WA | - |
| testcase_33 | AC | 2 ms
4,376 KB |
| testcase_34 | AC | 2 ms
4,380 KB |
| testcase_35 | AC | 968 ms
65,064 KB |
| testcase_36 | AC | 526 ms
65,836 KB |
| testcase_37 | WA | - |
| testcase_38 | WA | - |
| testcase_39 | AC | 3 ms
4,380 KB |
| testcase_40 | AC | 505 ms
41,688 KB |
| testcase_41 | AC | 290 ms
43,948 KB |
| testcase_42 | WA | - |
| testcase_43 | AC | 323 ms
41,804 KB |
| testcase_44 | AC | 348 ms
40,388 KB |
| testcase_45 | WA | - |
| testcase_46 | AC | 497 ms
41,624 KB |
| testcase_47 | AC | 529 ms
41,648 KB |
| testcase_48 | AC | 480 ms
41,436 KB |
| testcase_49 | AC | 3 ms
4,376 KB |
| testcase_50 | AC | 3 ms
4,380 KB |
| testcase_51 | AC | 3 ms
4,376 KB |
| testcase_52 | AC | 3 ms
4,376 KB |
| testcase_53 | AC | 3 ms
4,380 KB |
ソースコード
/**
* date : 2021-07-09 22:17:35
*/
#define NDEBUG
using namespace std;
// intrinstic
#include <immintrin.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T, typename U>
struct P : pair<T, U> {
template <typename... Args>
P(Args... args) : pair<T, U>(args...) {}
using pair<T, U>::first;
using pair<T, U>::second;
T &x() { return first; }
const T &x() const { return first; }
U &y() { return second; }
const U &y() const { return second; }
P &operator+=(const P &r) {
first += r.first;
second += r.second;
return *this;
}
P &operator-=(const P &r) {
first -= r.first;
second -= r.second;
return *this;
}
P &operator*=(const P &r) {
first *= r.first;
second *= r.second;
return *this;
}
P operator+(const P &r) const { return P(*this) += r; }
P operator-(const P &r) const { return P(*this) -= r; }
P operator*(const P &r) const { return P(*this) *= r; }
};
using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;
constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;
template <typename T>
int sz(const T &t) {
return t.size();
}
template <typename T, typename U>
inline bool amin(T &x, U y) {
return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
return upper_bound(begin(v), end(v), a) - begin(v);
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
return ret;
}
template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
return make_pair(t, u);
}
template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
vector<T> ret(v.size() + 1);
if (rev) {
for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
} else {
for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
}
return ret;
};
template <typename T>
vector<T> mkuni(const vector<T> &v) {
vector<T> ret(v);
sort(ret.begin(), ret.end());
ret.erase(unique(ret.begin(), ret.end()), ret.end());
return ret;
}
template <typename F>
vector<int> mkord(int N, F f) {
vector<int> ord(N);
iota(begin(ord), end(ord), 0);
sort(begin(ord), end(ord), f);
return ord;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return _mm_popcnt_u64(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
// inout
namespace Nyaan {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &... u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &... u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &... u) {
cout << t;
outr(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
namespace DebugImpl {
template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
U, typename conditional<false, typename U::iterator, void>::type>
: true_type {};
template <typename U>
struct is_specialize<
U, typename conditional<false, decltype(U::first), void>::type>
: true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {
};
void dump(const char& t) { cerr << t; }
void dump(const string& t) { cerr << t; }
void dump(const bool& t) { cerr << (t ? "true" : "false"); }
template <typename U,
enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
cerr << t;
}
template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
string res;
if (t == Nyaan::inf) res = "inf";
if constexpr (is_signed<T>::value) {
if (t == -Nyaan::inf) res = "-inf";
}
if constexpr (sizeof(T) == 8) {
if (t == Nyaan::infLL) res = "inf";
if constexpr (is_signed<T>::value) {
if (t == -Nyaan::infLL) res = "-inf";
}
}
if (res.empty()) res = to_string(t);
cerr << res;
}
template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);
template <typename T>
void dump(const T& t,
enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
cerr << "[ ";
for (auto it = t.begin(); it != t.end();) {
dump(*it);
cerr << (++it == t.end() ? "" : ", ");
}
cerr << " ]";
}
template <typename T, typename U>
void dump(const pair<T, U>& t) {
cerr << "( ";
dump(t.first);
cerr << ", ";
dump(t.second);
cerr << " )";
}
template <typename T>
void dump(const pair<T*, int>& t) {
cerr << "[ ";
for (int i = 0; i < t.second; i++) {
dump(t.first[i]);
cerr << (i == t.second - 1 ? "" : ", ");
}
cerr << " ]";
}
void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
cerr << " ";
dump(head);
if (sizeof...(tail) != 0) cerr << ",";
trace(forward<Tail>(tail)...);
}
} // namespace DebugImpl
#ifdef NyaanDebug
#define trc(...) \
do { \
cerr << "## " << #__VA_ARGS__ << " = "; \
DebugImpl::trace(__VA_ARGS__); \
} while (0)
#else
#define trc(...) (void(0))
#endif
// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define inl(...) \
long long __VA_ARGS__; \
in(__VA_ARGS__)
#define ins(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define in2(s, t) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i]); \
}
#define in3(s, t, u) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i]); \
}
#define in4(s, t, u, v) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i], v[i]); \
}
#define die(...) \
do { \
Nyaan::out(__VA_ARGS__); \
return; \
} while (0)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
struct UnionFind {
vector<int> data;
UnionFind(int N) : data(N, -1) {}
int find(int k) { return data[k] < 0 ? k : data[k] = find(data[k]); }
int unite(int x, int y) {
if ((x = find(x)) == (y = find(y))) return false;
if (data[x] > data[y]) swap(x, y);
data[x] += data[y];
data[y] = x;
return true;
}
// f ... merge function
template<typename F>
int unite(int x, int y,const F &f) {
if ((x = find(x)) == (y = find(y))) return false;
if (data[x] > data[y]) swap(x, y);
data[x] += data[y];
data[y] = x;
f(x, y);
return true;
}
int size(int k) { return -data[find(k)]; }
int same(int x, int y) { return find(x) == find(y); }
};
/**
* @brief Union Find(Disjoint Set Union)
* @docs docs/data-structure/union-find.md
*/
template <uint32_t mod>
struct LazyMontgomeryModInt {
using mint = LazyMontgomeryModInt;
using i32 = int32_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod;
for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod) % mod;
static_assert(r * mod == 1, "invalid, r * mod != 1");
static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
u32 a;
constexpr LazyMontgomeryModInt() : a(0) {}
constexpr LazyMontgomeryModInt(const int64_t &b)
: a(reduce(u64(b % mod + mod) * n2)){};
static constexpr u32 reduce(const u64 &b) {
return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
}
constexpr mint &operator+=(const mint &b) {
if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator-=(const mint &b) {
if (i32(a -= b.a) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator*=(const mint &b) {
a = reduce(u64(a) * b.a);
return *this;
}
constexpr mint &operator/=(const mint &b) {
*this *= b.inverse();
return *this;
}
constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
constexpr bool operator==(const mint &b) const {
return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
}
constexpr bool operator!=(const mint &b) const {
return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
}
constexpr mint operator-() const { return mint() - mint(*this); }
constexpr mint pow(u64 n) const {
mint ret(1), mul(*this);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
constexpr mint inverse() const { return pow(mod - 2); }
friend ostream &operator<<(ostream &os, const mint &b) {
return os << b.get();
}
friend istream &operator>>(istream &is, mint &b) {
int64_t t;
is >> t;
b = LazyMontgomeryModInt<mod>(t);
return (is);
}
constexpr u32 get() const {
u32 ret = reduce(a);
return ret >= mod ? ret - mod : ret;
}
static constexpr u32 get_mod() { return mod; }
};
// LazySegmentTree
template <typename T, typename E, typename F, typename G, typename H>
struct LazySegmentTree {
int n, height;
F f;
G g;
H h;
T ti;
E ei;
vector<T> dat;
vector<E> laz;
LazySegmentTree(int _n, F _f, G _g, H _h, T _ti, E _ei)
: f(_f), g(_g), h(_h), ti(_ti), ei(_ei) {
init(_n);
}
LazySegmentTree(const vector<T> &v, F _f, G _g, H _h, T _ti, E _ei)
: f(_f), g(_g), h(_h), ti(_ti), ei(_ei) {
init((int)v.size());
build(v);
}
void init(int _n) {
n = 1;
height = 0;
while (n < _n) n <<= 1, height++;
dat.assign(2 * n, ti);
laz.assign(2 * n, ei);
}
void build(const vector<T> &v) {
int _n = v.size();
init(_n);
for (int i = 0; i < _n; i++) dat[n + i] = v[i];
for (int i = n - 1; i; i--)
dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]);
}
inline T reflect(int k) { return laz[k] == ei ? dat[k] : g(dat[k], laz[k]); }
inline void eval(int k) {
if (laz[k] == ei) return;
laz[(k << 1) | 0] = h(laz[(k << 1) | 0], laz[k]);
laz[(k << 1) | 1] = h(laz[(k << 1) | 1], laz[k]);
dat[k] = reflect(k);
laz[k] = ei;
}
inline void thrust(int k) {
for (int i = height; i; i--) eval(k >> i);
}
inline void recalc(int k) {
while (k >>= 1) dat[k] = f(reflect((k << 1) | 0), reflect((k << 1) | 1));
}
void update(int a, int b, E x) {
if (a >= b) return;
thrust(a += n);
thrust(b += n - 1);
for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) laz[l] = h(laz[l], x), l++;
if (r & 1) --r, laz[r] = h(laz[r], x);
}
recalc(a);
recalc(b);
}
void set_val(int a, T x) {
thrust(a += n);
dat[a] = x;
laz[a] = ei;
recalc(a);
}
T get_val(int a) {
thrust(a += n);
return reflect(a);
}
T query(int a, int b) {
if (a >= b) return ti;
thrust(a += n);
thrust(b += n - 1);
T vl = ti, vr = ti;
for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) vl = f(vl, reflect(l++));
if (r & 1) vr = f(reflect(--r), vr);
}
return f(vl, vr);
}
};
template <typename T, typename F>
struct SegmentTree {
int size;
vector<T> seg;
const F f;
const T I;
SegmentTree(F _f, const T &I_) : size(0), f(_f), I(I_) {}
SegmentTree(int N, F _f, const T &I_) : f(_f), I(I_) { init(N); }
SegmentTree(const vector<T> &v, F _f, T I_) : f(_f), I(I_) {
init(v.size());
for (int i = 0; i < (int)v.size(); i++) {
seg[i + size] = v[i];
}
build();
}
void init(int N) {
size = 1;
while (size < N) size <<= 1;
seg.assign(2 * size, I);
}
void set(int k, T x) { seg[k + size] = x; }
void build() {
for (int k = size - 1; k > 0; k--) {
seg[k] = f(seg[2 * k], seg[2 * k + 1]);
}
}
void update(int k, T x) {
k += size;
seg[k] = x;
while (k >>= 1) {
seg[k] = f(seg[2 * k], seg[2 * k + 1]);
}
}
void add(int k, T x) {
k += size;
seg[k] += x;
while (k >>= 1) {
seg[k] = f(seg[2 * k], seg[2 * k + 1]);
}
}
// query to [a, b)
T query(int a, int b) {
T L = I, R = I;
for (a += size, b += size; a < b; a >>= 1, b >>= 1) {
if (a & 1) L = f(L, seg[a++]);
if (b & 1) R = f(seg[--b], R);
}
return f(L, R);
}
T &operator[](const int &k) { return seg[k + size]; }
template <typename C>
int find_subtree(int a, const C &check, T &M, bool type) {
while (a < size) {
T nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]);
if (check(nxt))
a = 2 * a + type;
else
M = nxt, a = 2 * a + 1 - type;
}
return a - size;
}
template <typename C>
int find_first(int a, const C &check) {
T L = I;
if (a <= 0) {
if (check(f(L, seg[1]))) return find_subtree(1, check, L, false);
return -1;
}
int b = size;
for (a += size, b += size; a < b; a >>= 1, b >>= 1) {
if (a & 1) {
T nxt = f(L, seg[a]);
if (check(nxt)) return find_subtree(a, check, L, false);
L = nxt;
++a;
}
}
return -1;
}
template <typename C>
int find_last(int b, const C &check) {
T R = I;
if (b >= size) {
if (check(f(seg[1], R))) return find_subtree(1, check, R, true);
return -1;
}
int a = size;
for (b += size; a < b; a >>= 1, b >>= 1) {
if (b & 1) {
T nxt = f(seg[--b], R);
if (check(nxt)) return find_subtree(b, check, R, true);
R = nxt;
}
}
return -1;
}
};
template <typename T>
struct edge {
int src, to;
T cost;
edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {}
edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {}
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;
// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
UnweightedGraph g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
if (is_1origin) x--, y--;
g[x].push_back(y);
if (!is_directed) g[y].push_back(x);
}
return g;
}
// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
WeightedGraph<T> g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
cin >> c;
if (is_1origin) x--, y--;
g[x].emplace_back(x, y, c);
if (!is_directed) g[y].emplace_back(y, x, c);
}
return g;
}
// Input of Edges
template <typename T>
Edges<T> esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) {
Edges<T> es;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
es.emplace_back(x, y, c);
}
return es;
}
// Input of Adjacency Matrix
template <typename T>
vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true,
bool is_directed = false, bool is_1origin = true) {
vector<vector<T>> d(N, vector<T>(N, INF));
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
d[x][y] = c;
if (!is_directed) d[y][x] = c;
}
return d;
}
template <typename G>
struct HeavyLightDecomposition {
private:
void dfs_sz(int cur) {
size[cur] = 1;
for (auto& dst : g[cur]) {
if (dst == par[cur]) {
if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
swap(g[cur][0], g[cur][1]);
else
continue;
}
depth[dst] = depth[cur] + 1;
par[dst] = cur;
dfs_sz(dst);
size[cur] += size[dst];
if (size[dst] > size[g[cur][0]]) {
swap(dst, g[cur][0]);
}
}
}
void dfs_hld(int cur) {
down[cur] = id++;
for (auto dst : g[cur]) {
if (dst == par[cur]) continue;
nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
dfs_hld(dst);
}
up[cur] = id;
}
// [u, v)
vector<pair<int, int>> ascend(int u, int v) const {
vector<pair<int, int>> res;
while (nxt[u] != nxt[v]) {
res.emplace_back(down[u], down[nxt[u]]);
u = par[nxt[u]];
}
if (u != v) res.emplace_back(down[u], down[v] + 1);
return res;
}
// (u, v]
vector<pair<int, int>> descend(int u, int v) const {
if (u == v) return {};
if (nxt[u] == nxt[v]) return {{down[u] + 1, down[v]}};
auto res = descend(u, par[nxt[v]]);
res.emplace_back(down[nxt[v]], down[v]);
return res;
}
public:
G& g;
int id;
vector<int> size, depth, down, up, nxt, par;
HeavyLightDecomposition(G& _g, int root = 0)
: g(_g),
id(0),
size(g.size(), 0),
depth(g.size(), 0),
down(g.size(), -1),
up(g.size(), -1),
nxt(g.size(), root),
par(g.size(), root) {
dfs_sz(root);
dfs_hld(root);
}
void build(int root) {
dfs_sz(root);
dfs_hld(root);
}
pair<int, int> idx(int i) const { return make_pair(down[i], up[i]); }
template <typename F>
void path_query(int u, int v, bool vertex, const F& f) {
int l = lca(u, v);
for (auto&& [a, b] : ascend(u, l)) {
int s = a + 1, t = b;
s > t ? f(t, s) : f(s, t);
}
if (vertex) f(down[l], down[l] + 1);
for (auto&& [a, b] : descend(l, v)) {
int s = a, t = b + 1;
s > t ? f(t, s) : f(s, t);
}
}
template <typename F>
void path_noncommutative_query(int u, int v, bool vertex, const F& f) {
int l = lca(u, v);
for (auto&& [a, b] : ascend(u, l)) f(a + 1, b);
if (vertex) f(down[l], down[l] + 1);
for (auto&& [a, b] : descend(l, v)) f(a, b + 1);
}
template <typename F>
void subtree_query(int u, bool vertex, const F& f) {
f(down[u] + int(!vertex), up[u]);
}
int lca(int a, int b) {
while (nxt[a] != nxt[b]) {
if (down[a] < down[b]) swap(a, b);
a = par[nxt[a]];
}
return depth[a] < depth[b] ? a : b;
}
int dist(int a, int b) { return depth[a] + depth[b] - depth[lca(a, b)] * 2; }
};
/**
* @brief Heavy Light Decomposition(重軽分解)
* @docs docs/tree/heavy-light-decomposition.md
*/
using mint = LazyMontgomeryModInt<1000000007>;
using namespace Nyaan;
void Nyaan::solve() {
V<mint> pw(200200);
pw[0] = 1;
rep1(i, 200100) pw[i] = pw[i - 1] * 2;
ini(N, M);
vi A(M), B(M);
in2(A, B);
each(x, A)-- x;
each(x, B)-- x;
vvi g(N);
UnionFind uf(N);
vi used(M, false);
rep(i, M) {
int a = A[i], b = B[i];
if (uf.same(a, b)) continue;
uf.unite(a, b);
g[a].push_back(b);
g[b].push_back(a);
used[i] = 1;
}
HeavyLightDecomposition hld(g);
SegmentTree seg(
V<mint>(N), [&](mint a, mint b) { return a + b; }, mint(0));
auto ff = [&](int a, int b) { return min(a, b); };
LazySegmentTree lazy(N, ff, ff, ff, inf, inf);
auto pa = [&](int i, int j) { return (ll(i) << 32) + j; };
unordered_map<ll, int> edge_to_seg;
rep(i, N) {
if (i == 0) continue;
int pi = hld.par[i];
int _seg = hld.idx(i).first;
edge_to_seg[pa(pi, i)] = edge_to_seg[pa(i, pi)] = _seg;
}
rep(i, M) {
int a = A[i], b = B[i];
if (used[i]) {
int chd = a;
if (hld.depth[a] < hld.depth[b]) chd = b;
seg.update(hld.idx(chd).first, pw[i + 1]);
} else {
//
auto upd = [&](int s, int t) { lazy.update(s, t, i); };
hld.path_query(a, b, false, upd);
}
}
rep(i, N) trc(hld.idx(i).first);
rep(i, N) { trc(seg[i], lazy.get_val(i)); }
ini(Q);
vi X(Q), Y(Q), Z(Q);
in3(X, Y, Z);
each(x, X) x--;
each(x, Y) x--;
each(x, Z) x--;
auto fff = [&](pl a, pl b) { return a + b; };
auto ggg = [&](pl a, int b) { return pl(a.first + a.se * b, a.se); };
auto hhh = [&](int a, int b) { return a + b; };
LazySegmentTree onseg(vp(N, pl{0, 1}), fff, ggg, hhh, pl(0, 0), 0);
auto ison = [&](int s, int t, int x) {
onseg.set_val(hld.idx(x).first, pl(1,1));
int res = 0;
hld.path_query(s, t, true,
[&](int i, int j) { res += onseg.query(i, j).first; });
onseg.set_val(hld.idx(x).first, pl(0,1));
return res;
};
vi is_on(Q);
vvi ZQ(N);
rep(i, Q) {
if (used[Z[i]] == false) continue;
int a = A[Z[i]];
int b = B[Z[i]];
int x = X[i];
int y = Y[i];
if(ison(x,y,a) and ison(x,y,b)) is_on[i] = 1;
}
trc(is_on);
auto get_len = [&](int s, int t) {
mint len = 0;
hld.path_query(s, t, false, [&](int i, int j) { len += seg.query(i, j); });
return len;
};
rep(i, Q) {
int on = is_on[i];
if (!on) {
out(get_len(X[i], Y[i]));
} else {
auto w = edge_to_seg[pa(A[Z[i]], B[Z[i]])];
trc(w);
int zz = lazy.get_val(w);
trc(w, zz);
if (zz == inf) {
out(-1);
continue;
}
int a = A[zz];
int b = B[zz];
if (hld.dist(X[i], a) > hld.dist(X[i], b)) swap(a, b);
trc(X[i], a, b, Y[i]);
auto ans = get_len(X[i], a);
ans += get_len(b, Y[i]);
ans += pw[zz + 1];
out(ans);
}
}
}