結果
| 問題 | No.1600 Many Shortest Path Problems |
| コンテスト | |
| ユーザー |
👑 potato167
|
| 提出日時 | 2026-01-06 17:58:55 |
| 言語 | C++17 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 9,493 bytes |
| 記録 | |
| コンパイル時間 | 3,619 ms |
| コンパイル使用メモリ | 254,204 KB |
| 実行使用メモリ | 73,552 KB |
| 最終ジャッジ日時 | 2026-01-06 17:59:17 |
| 合計ジャッジ時間 | 18,302 ms |
|
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 26 WA * 25 |
ソースコード
#line 1 "d.cpp"
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
const ll ILL=2167167167167167167;
const int INF=2100000000;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> int LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> int UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,T b){if(b<a){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;}
template<class T> void vec_out(vector<T> &p,int ty=0){
if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}
template<class T> T square(T a){return a * a;}
namespace po167{
struct UF
{
using _F = int;
int _n;
std::vector<_F> wei;
std::vector<int> q;
int component;
UF(int n):_n(n), wei(n), component(n), par(n){
for (int i = 0; i < n; i++){
wei[i] =1, par[i] = i;
}
}
void intialize(){
for (auto x : q){
wei[root(x)] = 1;
par[x] = x;
wei[x] = 1;
}
component = (int)par.size();
q = {};
}
//根っこを返す
int root(int a){
assert(0 <= a && a < _n);
if (a == par[a]) return a;
return par[a] = root(par[a]);
}
//trueなら1,falseなら0
int same(int a, int b){
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
if(root(a) == root(b)) return 1;
else return 0;
}
_F size(int a){
return wei[root(a)];
}
//a,bが違う根っこの元なら結合する,結合したらtrueを返す
bool unite(int a,int b){
a = root(a), b = root(b);
if (a == b) return false;
if (wei[a] < wei[b]) std::swap(a, b);
par[b] = a;
q.push_back(b);
wei[a] += wei[b];
component--;
return true;
}
private:
std::vector<int> par;
};
}
using po167::UF;
#include <atcoder/modint>
using mint = atcoder::modint1000000007;
#line 4 "/Users/Shared/po167_library/ds/Sparse_table.hpp"
namespace po167{
template<class T, T(*op)(T, T)>
struct Sparse_table{
int n;
int depth;
std::vector<std::vector<T>> val;
void init(std::vector<T> &v){
depth = 1;
n = v.size();
while ((1 << depth) <= n) depth++;
val.resize(depth);
val[0] = v;
for (int i = 1; i < depth; i++){
val[i].resize(n);
for (int j = 0; j <= n - (1 << i); j++){
val[i][j] = op(val[i - 1][j], val[i - 1][j + (1 << (i - 1))]);
}
}
}
Sparse_table(std::vector<T> v){
init(v);
}
Sparse_table(){}
// 0 <= l < r <= n
// if l == r : assert
T prod(int l, int r){
assert(0 <= l && l < r && r <= n);
int z=31-__builtin_clz(r-l);
return op(val[z][l], val[z][r - (1 << z)]);
}
};
}
#line 6 "/Users/Shared/po167_library/graph/tree/LCA.hpp"
namespace po167{
int op(int a, int b){
return std::min(a, b);
}
struct LCA{
Sparse_table<int, op> table;
std::vector<int> depth;
std::vector<int> E;
std::vector<int> order;
int var_num;
void init(std::vector<std::vector<int>> &g, int root = 0){
var_num = g.size();
assert(0 <= root && root < var_num);
std::vector<int> val;
depth.assign(var_num, -1);
depth[root] = 0;
E.resize(var_num);
std::vector<int> tmp;
order.clear();
tmp.reserve(var_num);
order.reserve(var_num);
int c = 0;
auto dfs = [&](auto self, int var, int pare) -> void {
E[var] = c++;
if (var != root) tmp.push_back(E[pare]);
order.push_back(var);
for (auto x : g[var]) if (depth[x] == -1){
depth[x] = depth[var] + 1;
self(self, x, var);
}
};
dfs(dfs, root, -1);
assert(c == var_num);
table.init(tmp);
}
void init(std::vector<int> &pare){
int root = -1;
int n = pare.size();
std::vector<std::vector<int>> g(n);
for (int i = 0; i < n; i++){
if (pare[i] < 0){
assert(root == -1);
root = i;
}
else{
assert(0 <= pare[i] && pare[i] < n);
g[pare[i]].push_back(i);
}
}
assert(root != -1);
init(g, root);
}
LCA (std::vector<std::vector<int>> g, int root = 0){
init(g, root);
}
LCA (std::vector<int> pare){
init(pare);
}
LCA(){
}
int lca(int a, int b){
assert(0 <= std::min(a, b) && std::max(a, b) < var_num);
if (a == b) return a;
if (E[a] > E[b]) std::swap(a, b);
return order[table.prod(E[a], E[b])];
}
int dist(int a, int b){
assert(0 <= std::min(a, b) && std::max(a, b) < var_num);
return depth[a] + depth[b] - 2 * depth[lca(a, b)];
}
int back(int var, int len){
assert(len <= depth[var]);
if (len == 0) return var;
int l = 0, r = E[var];
while (r - l > 1){
int m = (l + r) / 2;
if (depth[var] - depth[order[table.prod(m, E[var])]] < len){
r = m;
}
else l = m;
}
return order[table.prod(l, E[var])];
}
// a -> b
int jump(int a, int b, int len){
int c = lca(a, b);
if (len <= depth[a] - depth[c]) return back(a, len);
len -= depth[a] - depth[c];
if (len <= depth[b] - depth[c]) return back(b, depth[b] - depth[c] - len);
return -1;
}
};
}
#line 83 "d.cpp"
void solve();
// DEAR MYSTERIES / TOMOO
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
// cin >> t;
rep(i, 0, t) solve();
}
void solve(){
int N, M;
cin >> N >> M;
vector<int> use(M, -1);
UF T(N);
vector<mint> p2(M, 1);
rep(i, 1, M) p2[i] = p2[i - 1] * 2;
struct edge{
int to;
int ind;
};
vector<int> A(M), B(M);
vector<vector<edge>> G(N);
vector<vector<int>> lcaG(N);
vector<edge> pare(N);
vector<mint> W(N);
vector<set<int>> rem(N);
rep(i, 0, M){
cin >> A[i] >> B[i];
A[i]--, B[i]--;
if (T.unite(A[i], B[i])){
G[A[i]].push_back({B[i], i});
G[B[i]].push_back({A[i], i});
lcaG[A[i]].push_back(B[i]);
lcaG[B[i]].push_back(A[i]);
}
else{
rem[A[i]].insert(i);
rem[B[i]].insert(i);
}
}
po167::LCA l(lcaG);
vector<int> order;
{
auto dfs = [&](auto self, int var, int p) -> void {
for (auto x : G[var]) if (x.to != p){
pare[x.to] = {var, x.ind};
W[x.to] = W[var] + p2[x.ind];
use[x.ind] = x.to;
self(self, x.to, var);
}
order.push_back(var);
};
dfs(dfs, 0, -1);
}
auto dist_W = [&](int a, int b) -> mint {
int c = l.lca(a, b);
return W[a] + W[b] - W[c] * 2;
};
vector<int> lig(M, -1);
for (auto id : order) if (id){
if (!rem[id].empty()){
lig[pare[id].ind] = (*rem[id].begin());
}
if (rem[pare[id].to].size() < rem[id].size()){
swap(rem[pare[id].to], rem[id]);
}
for (auto x : rem[id]){
if (rem[pare[id].to].insert(x).second){
rem[pare[id].to].erase(x);
}
}
}
int Q;
cin >> Q;
while (Q--){
int x, y, z;
cin >> x >> y >> z;
x--, y--, z--;
mint ans = 0;
if (use[z] == -1){
ans = dist_W(x, y);
}
else if (l.dist(x, y) * 2 != l.dist(x, A[z]) + l.dist(y, A[z]) + l.dist(x, B[z]) + l.dist(y, B[z])){
ans = dist_W(x, y);
}
else if (lig[z] == -1){
cout << "-1\n";
continue;
}
else{
int c = lig[z];
if (l.dist(x, A[z]) - l.dist(x, B[z]) != l.dist(A[c], A[z]) - l.dist(A[c], B[z])){
swap(x, y);
}
ans = dist_W(x, A[c]) + dist_W(y, B[c]) + p2[c];
}
cout << (ans * 2).val() << "\n";
}
}
potato167