結果
| 問題 | No.1600 Many Shortest Path Problems |
| ユーザー |
👑  Nachia
|
| 提出日時 | 2023-02-20 01:57:28 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 285 ms / 4,000 ms |
| コード長 | 19,905 bytes |
| コンパイル時間 | 1,816 ms |
| コンパイル使用メモリ | 109,768 KB |
| 実行使用メモリ | 34,036 KB |
| 最終ジャッジ日時 | 2024-07-20 22:25:30 |
| 合計ジャッジ時間 | 13,324 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
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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
5,248 KB |
| testcase_01 | AC | 2 ms
5,376 KB |
| testcase_02 | AC | 2 ms
5,376 KB |
| testcase_03 | AC | 2 ms
5,376 KB |
| testcase_04 | AC | 272 ms
32,912 KB |
| testcase_05 | AC | 285 ms
33,044 KB |
| testcase_06 | AC | 2 ms
5,376 KB |
| testcase_07 | AC | 2 ms
5,376 KB |
| testcase_08 | AC | 2 ms
5,376 KB |
| testcase_09 | AC | 2 ms
5,376 KB |
| testcase_10 | AC | 53 ms
9,396 KB |
| testcase_11 | AC | 70 ms
10,448 KB |
| testcase_12 | AC | 123 ms
15,920 KB |
| testcase_13 | AC | 206 ms
25,620 KB |
| testcase_14 | AC | 271 ms
32,912 KB |
| testcase_15 | AC | 2 ms
5,376 KB |
| testcase_16 | AC | 2 ms
5,376 KB |
| testcase_17 | AC | 166 ms
20,992 KB |
| testcase_18 | AC | 243 ms
33,000 KB |
| testcase_19 | AC | 2 ms
5,376 KB |
| testcase_20 | AC | 2 ms
5,376 KB |
| testcase_21 | AC | 158 ms
21,112 KB |
| testcase_22 | AC | 2 ms
5,376 KB |
| testcase_23 | AC | 2 ms
5,376 KB |
| testcase_24 | AC | 267 ms
33,004 KB |
| testcase_25 | AC | 2 ms
5,376 KB |
| testcase_26 | AC | 2 ms
5,376 KB |
| testcase_27 | AC | 2 ms
5,376 KB |
| testcase_28 | AC | 2 ms
5,376 KB |
| testcase_29 | AC | 81 ms
20,012 KB |
| testcase_30 | AC | 90 ms
20,788 KB |
| testcase_31 | AC | 127 ms
20,920 KB |
| testcase_32 | AC | 133 ms
21,072 KB |
| testcase_33 | AC | 2 ms
5,376 KB |
| testcase_34 | AC | 2 ms
5,376 KB |
| testcase_35 | AC | 165 ms
34,036 KB |
| testcase_36 | AC | 110 ms
33,260 KB |
| testcase_37 | AC | 2 ms
5,376 KB |
| testcase_38 | AC | 91 ms
20,788 KB |
| testcase_39 | AC | 2 ms
5,376 KB |
| testcase_40 | AC | 91 ms
20,788 KB |
| testcase_41 | AC | 70 ms
20,008 KB |
| testcase_42 | AC | 76 ms
20,788 KB |
| testcase_43 | AC | 79 ms
20,796 KB |
| testcase_44 | AC | 90 ms
20,796 KB |
| testcase_45 | AC | 80 ms
20,008 KB |
| testcase_46 | AC | 88 ms
20,784 KB |
| testcase_47 | AC | 94 ms
20,792 KB |
| testcase_48 | AC | 100 ms
20,904 KB |
| testcase_49 | AC | 2 ms
5,376 KB |
| testcase_50 | AC | 2 ms
5,376 KB |
| testcase_51 | AC | 2 ms
5,376 KB |
| testcase_52 | AC | 2 ms
5,376 KB |
| testcase_53 | AC | 2 ms
5,376 KB |
ソースコード
#line 1 "Main.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1600"
#line 2 "nachia\\array\\csr-array.hpp"
#include <utility>
#include <vector>
#include <algorithm>
namespace nachia{
template<class Elem>
class CsrArray{
public:
struct ListRange{
using iterator = typename std::vector<Elem>::iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
Elem& operator[](int i) const { return begi[i]; }
};
struct ConstListRange{
using iterator = typename std::vector<Elem>::const_iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
const Elem& operator[](int i) const { return begi[i]; }
};
private:
int m_n;
std::vector<Elem> m_list;
std::vector<int> m_pos;
public:
CsrArray() : m_n(0), m_list(), m_pos() {}
static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){
CsrArray res;
res.m_n = n;
std::vector<int> buf(n+1, 0);
for(auto& [u,v] : items){ ++buf[u]; }
for(int i=1; i<=n; i++) buf[i] += buf[i-1];
res.m_list.resize(buf[n]);
for(int i=(int)items.size()-1; i>=0; i--){
res.m_list[--buf[items[i].first]] = std::move(items[i].second);
}
res.m_pos = std::move(buf);
return res;
}
static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
CsrArray res;
res.m_n = pos.size() - 1;
res.m_list = std::move(list);
res.m_pos = std::move(pos);
return res;
}
ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
int size() const { return m_n; }
int fullSize() const { return (int)m_list.size(); }
};
} // namespace nachia
#line 4 "nachia\\graph\\graph.hpp"
#include <cassert>
#line 6 "nachia\\graph\\graph.hpp"
namespace nachia{
struct Graph {
public:
struct Edge{
int from, to;
void reverse(){ std::swap(from, to); }
};
using Base = std::vector<std::pair<int, int>>;
Graph(int n = 0, bool undirected = false) : m_n(n), m_e(), m_isUndir(undirected) {}
Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){
m_e.resize(edges.size());
for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
}
Graph(int n, const std::vector<Edge>& edges, bool undirected = false) : m_n(n), m_e(edges), m_isUndir(undirected) {}
Graph(int n, std::vector<Edge>&& edges, bool undirected = false) : m_n(n), m_e(std::move(edges)), m_isUndir(undirected) {}
int numVertices() const noexcept { return m_n; }
int numEdges() const noexcept { return int(m_e.size()); }
int addNode() noexcept { return m_n++; }
int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
Edge& operator[](int ei) noexcept { return m_e[ei]; }
const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
Edge& at(int ei) { return m_e.at(ei); }
const Edge& at(int ei) const { return m_e.at(ei); }
auto begin(){ return m_e.begin(); }
auto end(){ return m_e.end(); }
auto begin() const { return m_e.begin(); }
auto end() const { return m_e.end(); }
bool isUndirected() const noexcept { return m_isUndir; }
void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
void contract(int newV, const std::vector<int>& mapping){
assert(numVertices() == int(mapping.size()));
for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
}
std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
int n = numVertices();
assert(n == int(mapping.size()));
for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
std::vector<int> indexV(n), newV(num);
for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++;
std::vector<Graph> res; res.reserve(num);
for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
return res;
}
CsrArray<int> getEdgeIndexArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(int i=0; i<numEdges(); i++){
auto e = operator[](i);
src.emplace_back(e.from, i);
if(undirected) src.emplace_back(e.to, i);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
CsrArray<int> getAdjacencyArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(auto e : m_e){
src.emplace_back(e.from, e.to);
if(undirected) src.emplace_back(e.to, e.from);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
int m_n;
std::vector<Edge> m_e;
bool m_isUndir;
};
} // namespace nachia
#line 6 "nachia\\tree\\heavy-light-decomposition.hpp"
namespace nachia{
struct HeavyLightDecomposition{
private:
int N;
std::vector<int> P;
std::vector<int> PP;
std::vector<int> PD;
std::vector<int> D;
std::vector<int> I;
std::vector<int> rangeL;
std::vector<int> rangeR;
public:
HeavyLightDecomposition(const CsrArray<int>& E = CsrArray<int>::Construct(1, {}), int root = 0){
N = E.size();
P.assign(N, -1);
I = {root};
I.reserve(N);
for(int i=0; i<(int)I.size(); i++){
int p = I[i];
for(int e : E[p]) if(P[p] != e){
I.push_back(e);
P[e] = p;
}
}
std::vector<int> Z(N, 1);
std::vector<int> nx(N, -1);
PP.resize(N);
for(int i=0; i<N; i++) PP[i] = i;
for(int i=N-1; i>=1; i--){
int p = I[i];
Z[P[p]] += Z[p];
if(nx[P[p]] == -1) nx[P[p]] = p;
if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p;
}
for(int p : I) if(nx[p] != -1) PP[nx[p]] = p;
PD.assign(N,N);
PD[root] = 0;
D.assign(N,0);
for(int p : I) if(p != root){
PP[p] = PP[PP[p]];
PD[p] = std::min(PD[PP[p]], PD[P[p]]+1);
D[p] = D[P[p]]+1;
}
rangeL.assign(N,0);
rangeR.assign(N,0);
for(int p : I){
rangeR[p] = rangeL[p] + Z[p];
int ir = rangeR[p];
for(int e : E[p]) if(P[p] != e) if(e != nx[p]){
rangeL[e] = (ir -= Z[e]);
}
if(nx[p] != -1){
rangeL[nx[p]] = rangeL[p] + 1;
}
}
I.resize(N);
for(int i=0; i<N; i++) I[rangeL[i]] = i;
}
HeavyLightDecomposition(const Graph& E, int root = 0)
: HeavyLightDecomposition(E.getAdjacencyArray(true), root) {}
int depth(int p) const { return D[p]; }
int toSeq(int vertex) const { return rangeL[vertex]; }
int toVtx(int seqidx) const { return I[seqidx]; }
int toSeq2In(int vertex) const { return rangeL[vertex] * 2 - D[vertex]; }
int toSeq2Out(int vertex) const { return rangeR[vertex] * 2 - D[vertex]; }
int parentOf(int v) const { return P[v]; }
int heavyRootOf(int v) const { return PP[v]; }
int heavyChildOf(int v) const {
if(toSeq(v) == N-1) return -1;
int cand = toVtx(toSeq(v) + 1);
if(PP[v] == PP[cand]) return cand;
return -1;
}
int lca(int u, int v) const {
if(PD[u] < PD[v]) std::swap(u, v);
while(PD[u] > PD[v]) u = P[PP[u]];
while(PP[u] != PP[v]){ u = P[PP[u]]; v = P[PP[v]]; }
return (D[u] > D[v]) ? v : u;
}
int dist(int u, int v) const {
return depth(u) + depth(v) - depth(lca(u,v)) * 2;
}
std::vector<std::pair<int,int>> path(int r, int c, bool include_root = true, bool reverse_path = false) const {
if(PD[c] < PD[r]) return {};
std::vector<std::pair<int,int>> res(PD[c]-PD[r]+1);
for(int i=0; i<(int)res.size()-1; i++){
res[i] = std::make_pair(rangeL[PP[c]], rangeL[c]+1);
c = P[PP[c]];
}
if(PP[r] != PP[c] || D[r] > D[c]) return {};
res.back() = std::make_pair(rangeL[r]+(include_root?0:1), rangeL[c]+1);
if(res.back().first == res.back().second) res.pop_back();
if(!reverse_path) std::reverse(res.begin(),res.end());
else for(auto& a : res) a = std::make_pair(N - a.second, N - a.first);
return res;
}
std::pair<int,int> subtree(int p){
return std::make_pair(rangeL[p], rangeR[p]);
}
int median(int x, int y, int z) const {
return lca(x,y) ^ lca(y,z) ^ lca(x,z);
}
int la(int from, int to, int d) const {
if(d < 0) return -1;
int g = lca(from,to);
int dist0 = D[from] - D[g] * 2 + D[to];
if(dist0 < d) return -1;
int p = from;
if(D[from] - D[g] < d){ p = to; d = dist0 - d; }
while(D[p] - D[PP[p]] < d){
d -= D[p] - D[PP[p]] + 1;
p = P[PP[p]];
}
return I[rangeL[p] - d];
}
};
} // namespace nachia
#line 4 "nachia\\set\\dsu.hpp"
namespace nachia {
struct Dsu{
private:
int N;
std::vector<int> P;
std::vector<int> H;
public:
Dsu() : N(0) {}
Dsu(int n) : N(n), P(n, -1), H(n) {
for(int i=0; i<n; i++) H[i] = i;
}
int leader(int u){
if(P[u] < 0) return u;
int v = P[u];
while(P[v] >= 0){ P[u] = P[v]; u = v; v = P[v]; }
return P[u];
}
int append(){
int n = P.size();
P.push_back(-1);
H.push_back(n);
return n;
}
int label(int u){ return H[leader(u)]; }
int operator[](int u){ return H[leader(u)]; }
void merge(int u, int v, int newLabel){
if(newLabel < 0) newLabel = u;
u = leader(u);
v = leader(v);
if(u == v){ H[u] = newLabel; return; }
N--;
if(-P[u] < -P[v]) std::swap(u, v);
P[u] += P[v];
H[P[v] = u] = newLabel;
}
int merge(int u, int v){ merge(u, v, u); return u; }
int count(){ return N; }
int size(int u){ return -P[leader(u)]; }
bool same(int u, int v){ return leader(u) == leader(v); }
};
} // namespace nachia
#line 2 "nachia\\misc\\fastio.hpp"
#include <cstdio>
#include <cctype>
#include <cstdint>
#include <string>
namespace nachia{
struct CInStream{
private:
static const unsigned int INPUT_BUF_SIZE = 1 << 17;
unsigned int p = INPUT_BUF_SIZE;
static char Q[INPUT_BUF_SIZE];
public:
using MyType = CInStream;
char seekChar() noexcept {
if(p == INPUT_BUF_SIZE){
size_t len = fread(Q, 1, INPUT_BUF_SIZE, stdin);
if(len != INPUT_BUF_SIZE) Q[len] = '\0';
p = 0;
}
return Q[p];
}
void skipSpace() noexcept { while(isspace(seekChar())) p++; }
uint32_t nextU32() noexcept {
skipSpace();
uint32_t buf = 0;
while(true){
char tmp = seekChar();
if('9' < tmp || tmp < '0') break;
buf = buf * 10 + (tmp - '0');
p++;
}
return buf;
}
int32_t nextI32() noexcept {
skipSpace();
if(seekChar() == '-'){ p++; return (int32_t)(-nextU32()); }
return (int32_t)nextU32();
}
uint64_t nextU64() noexcept {
skipSpace();
uint64_t buf = 0;
while(true){
char tmp = seekChar();
if('9' < tmp || tmp < '0') break;
buf = buf * 10 + (tmp - '0');
p++;
}
return buf;
}
int64_t nextI64() noexcept {
skipSpace();
if(seekChar() == '-'){ p++; return (int64_t)(-nextU64()); }
return (int64_t)nextU64();
}
char nextChar() noexcept { skipSpace(); char buf = seekChar(); p++; return buf; }
std::string nextToken(){
skipSpace();
std::string buf;
while(true){
char ch = seekChar();
if(isspace(ch) || ch == '\0') break;
buf.push_back(ch);
p++;
}
return buf;
}
MyType& operator>>(unsigned int& dest) noexcept { dest = nextU32(); return *this; }
MyType& operator>>(int& dest) noexcept { dest = nextI32(); return *this; }
MyType& operator>>(unsigned long& dest) noexcept { dest = nextU64(); return *this; }
MyType& operator>>(long& dest) noexcept { dest = nextI64(); return *this; }
MyType& operator>>(unsigned long long& dest) noexcept { dest = nextU64(); return *this; }
MyType& operator>>(long long& dest) noexcept { dest = nextI64(); return *this; }
MyType& operator>>(std::string& dest){ dest = nextToken(); return *this; }
MyType& operator>>(char& dest) noexcept { dest = nextChar(); return *this; }
} cin;
struct FastOutputTable{
char LZ[1000][4] = {};
char NLZ[1000][4] = {};
constexpr FastOutputTable(){
using u32 = uint_fast32_t;
for(u32 d=0; d<1000; d++){
LZ[d][0] = ('0' + d / 100 % 10);
LZ[d][1] = ('0' + d / 10 % 10);
LZ[d][2] = ('0' + d / 1 % 10);
LZ[d][3] = '\0';
}
for(u32 d=0; d<1000; d++){
u32 i = 0;
if(d >= 100) NLZ[d][i++] = ('0' + d / 100 % 10);
if(d >= 10) NLZ[d][i++] = ('0' + d / 10 % 10);
if(d >= 1) NLZ[d][i++] = ('0' + d / 1 % 10);
NLZ[d][i++] = '\0';
}
}
};
struct COutStream{
private:
using u32 = uint32_t;
using u64 = uint64_t;
using MyType = COutStream;
static const u32 OUTPUT_BUF_SIZE = 1 << 17;
static char Q[OUTPUT_BUF_SIZE];
static constexpr FastOutputTable TB = FastOutputTable();
u32 p = 0;
static constexpr u32 P10(u32 d){ return d ? P10(d-1)*10 : 1; }
static constexpr u64 P10L(u32 d){ return d ? P10L(d-1)*10 : 1; }
template<class T, class U> static void Fil(T& m, U& l, U x) noexcept { m = l/x; l -= m*x; }
void next_dig9(u32 x){
u32 y;
Fil(y, x, P10(6));
nextCstr(TB.LZ[y]);
Fil(y, x, P10(3));
nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]);
}
public:
void nextChar(char c){
Q[p++] = c;
if(p == OUTPUT_BUF_SIZE){ fwrite(Q, p, 1, stdout); p = 0; }
}
void nextEoln(){ nextChar('\n'); }
void nextCstr(const char* s){ while(*s) nextChar(*(s++)); }
void nextU32(uint32_t x){
u32 y = 0;
if(x >= P10(9)){
Fil(y, x, P10(9));
nextCstr(TB.NLZ[y]); next_dig9(x);
}
else if(x >= P10(6)){
Fil(y, x, P10(6));
nextCstr(TB.NLZ[y]);
Fil(y, x, P10(3));
nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]);
}
else if(x >= P10(3)){
Fil(y, x, P10(3));
nextCstr(TB.NLZ[y]); nextCstr(TB.LZ[x]);
}
else if(x >= 1) nextCstr(TB.NLZ[x]);
else nextChar('0');
}
void nextI32(int32_t x){
if(x >= 0) nextU32(x);
else{ nextChar('-'); nextU32((u32)-x); }
}
void nextU64(uint64_t x){
u32 y = 0;
if(x >= P10L(18)){
Fil(y, x, P10L(18));
nextU32(y);
Fil(y, x, P10L(9));
next_dig9(y); next_dig9(x);
}
else if(x >= P10L(9)){
Fil(y, x, P10L(9));
nextU32(y); next_dig9(x);
}
else nextU32(x);
}
void nextI64(int64_t x){
if(x >= 0) nextU64(x);
else{ nextChar('-'); nextU64((u64)-x); }
}
void writeToFile(bool flush = false){
fwrite(Q, p, 1, stdout);
if(flush) fflush(stdout);
p = 0;
}
COutStream(){ Q[0] = 0; }
~COutStream(){ writeToFile(); }
MyType& operator<<(unsigned int tg){ nextU32(tg); return *this; }
MyType& operator<<(unsigned long tg){ nextU64(tg); return *this; }
MyType& operator<<(unsigned long long tg){ nextU64(tg); return *this; }
MyType& operator<<(int tg){ nextI32(tg); return *this; }
MyType& operator<<(long tg){ nextI64(tg); return *this; }
MyType& operator<<(long long tg){ nextI64(tg); return *this; }
MyType& operator<<(const std::string& tg){ nextCstr(tg.c_str()); return *this; }
MyType& operator<<(const char* tg){ nextCstr(tg); return *this; }
MyType& operator<<(char tg){ nextChar(tg); return *this; }
} cout;
char CInStream::Q[INPUT_BUF_SIZE];
char COutStream::Q[OUTPUT_BUF_SIZE];
} // namespace nachia
#line 8 "Main.cpp"
#include <set>
using namespace std;
using ll = long long;
using ull = unsigned long long;
const ull MOD = 1000000007;
#define rep(i,n) for(int i=0; i<(int)(n); i++)
struct mll{
using u32 = uint32_t;
using u64 = uint64_t;
u32 v;
mll(u32 x = 0) : v(x) {}
u32 val() const { return v; }
mll& operator+=(const mll& r){ v += r.val(); if(v >= MOD) v -= MOD; return *this; }
mll& operator-=(const mll& r){ v += MOD - r.val(); if(v >= MOD) v -= MOD; return *this; }
mll& operator*=(const mll& r) { v = (u64)v * r.val() % MOD; return *this; }
mll operator+(const mll& r) const { mll res = *this; res += r; return res; }
mll operator-(const mll& r) const { mll res = *this; res -= r; return res; }
mll operator*(const mll& r) const { mll res = *this; res *= r; return res; }
mll operator-() const { return v ? mll(MOD-v) : mll(0); }
};
struct Edge{ int u,v,i; };
int N, M;
vector<Edge> J;
vector<vector<Edge>> E;
vector<Edge> flows;
vector<mll> cost;
vector<int> P;
vector<int> Eidx;
vector<mll> dep;
vector<int> iEidx;
vector<int> flowIdx;
nachia::HeavyLightDecomposition hld;
void read_graph(){
using nachia::cin;
cin >> N >> M;
E.resize(N);
vector<pair<int,int>> idE;
cost.resize(M);
cost[0] = 2;
for(int i=1; i<M; i++) cost[i] = cost[i-1] * 2;
nachia::Dsu G1(N);
rep(i,M){
int u,v; cin >> u >> v; u--; v--;
J.push_back({u,v,i});
if(G1.same(u, v)){
flows.push_back({u,v,i});
}
else{
G1.merge(u, v);
E[u].push_back({u,v,i});
E[v].push_back({v,u,i});
idE.push_back({ u,v });
}
}
hld = nachia::HeavyLightDecomposition(nachia::Graph(N, idE, true).getAdjacencyArray());
}
void initLCA(){
vector<int> I;
P.assign(N,-1);
I.push_back(0);
dep.assign(N,0);
Eidx.assign(N,-1);
rep(i,I.size()){
int p = I[i];
for(Edge e : E[p]) if(P[p] != e.v){
P[e.v] = p;
dep[e.v] = dep[p] + cost[e.i];
Eidx[e.v] = e.i;
I.push_back(e.v);
}
}
}
int LCA(int u,int v){
return hld.lca(u,v);
}
int dist0(int u,int v){
return hld.dist(u,v);
}
mll dist1(int u,int v){
int g = LCA(u,v);
return dep[u] + dep[v] - dep[g] * 2;
}
void build_flows(){
iEidx.assign(M,-1);
rep(i,N) if(Eidx[i] != -1) iEidx[Eidx[i]] = i;
flowIdx.assign(N,-1);
nachia::Dsu G2(N);
for(Edge e : flows){
int g = G2.label(LCA(e.u,e.v));
for(int s : {e.u,e.v}){
int p = G2.label(s);
while(p != g){
flowIdx[p] = e.i;
G2.merge(P[p], p, G2.label(P[p]));
p = G2.label(p);
}
}
}
}
int path_includes(int u,int v,int z){
if(iEidx[z] == -1) return -1;
if(hld.median(u,v,J[z].u) != J[z].u) return -1;
if(hld.median(u,v,J[z].v) != J[z].v) return -1;
int res = flowIdx[iEidx[z]];
if(res == -1) return -2;
return res;
}
mll shortest_using(int u,int v,int z){
mll ans = cost[z];
if(dist0(u,J[z].u) + dist0(v,J[z].v) < dist0(u,J[z].v) + dist0(v,J[z].u))
ans += dist1(u,J[z].u) + dist1(v,J[z].v);
else
ans += dist1(u,J[z].v) + dist1(v,J[z].u);
return ans;
}
int main(){
using nachia::cin;
using nachia::cout;
read_graph();
initLCA();
build_flows();
int Q; cin >> Q;
rep(q,Q){
int u,v,z; cin >> u >> v >> z; u--; v--; z--;
int inc = path_includes(u,v,z);
if(inc == -2){ cout << "-1\n"; continue; }
if(inc == -1){ cout << dist1(u,v).val() << "\n"; continue; }
auto e = J[inc];
mll ans = shortest_using(u,v,e.i);
cout << ans.val() << "\n";
}
return 0;
}