結果
| 問題 |
No.1442 I-wate Shortest Path Problem
|
| コンテスト | |
| ユーザー |
kaikey
|
| 提出日時 | 2021-03-26 23:59:25 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 8,001 bytes |
| コンパイル時間 | 3,898 ms |
| コンパイル使用メモリ | 221,912 KB |
| 最終ジャッジ日時 | 2025-01-19 23:42:09 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | WA * 2 |
| other | WA * 25 |
ソースコード
#include "bits/stdc++.h"
#include <random>
#include <chrono>
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((lint)(x).size())
#define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i<i##_end_;++i)
#define IFOR(i, begin, end) for(lint i=(end)-1,i##_begin_=(begin);i>=i##_begin_;--i)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
#define endk '\n'
using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef long double ld; typedef pair<lint, lint> plint; typedef pair<ld, ld> pld;
struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
template<class T> auto add = [](T a, T b) -> T { return a + b; };
template<class T> auto f_max = [](T a, T b) -> T { return max(a, b); };
template<class T> auto f_min = [](T a, T b) -> T { return min(a, b); };
template<class T> using V = vector<T>;
using Vl = V<lint>; using VVl = V<Vl>;
template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) {
for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : "");
return os;
}
template< typename T >istream& operator>>(istream& is, vector< T >& v) {
for (T& in : v) is >> in;
return is;
}
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); }
lint ceil(lint a, lint b) { return (a + b - 1) / b; }
lint digit(lint a) { return (lint)log10(a); }
lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); }
lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); }
bool check_overflow(lint a, lint b, lint limit) { return a > limit / b; } // a * b > c => true
void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); }
const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 5e18;
lint dx[8] = { 1, 0, -1, 0, 1, -1, 1, -1 }, dy[8] = { 0, 1, 0, -1, -1, -1, 1, 1 };
bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; }
struct Edge {
lint from, to;
lint cost;
Edge() {
}
Edge(lint u, lint v, lint c) {
cost = c;
from = u;
to = v;
}
bool operator<(const Edge& e) const {
return cost < e.cost;
}
};
struct WeightedEdge {
lint to;
lint cost;
WeightedEdge(lint v, lint c = 1) {
to = v;
cost = c;
}
bool operator<(const WeightedEdge& e) const {
return cost < e.cost;
}
};
using WeightedGraph = V<V<WeightedEdge>>;
typedef pair<lint, plint> tlint;
typedef pair<plint, plint> qlint;
typedef pair<char, lint> valchar;
Vl Dijkstra(WeightedGraph& g, Vl& st) {
Vl dist(SZ(g), INF);
deque<bool> visited(SZ(g), false);
priority_queue<plint> que;
for (lint v : st) {
que.push({ 0, v });
dist[v] = 0;
}
while (!que.empty()) {
plint curr = que.top(); que.pop();
if (visited[curr.second]) continue;
visited[curr.second] = true;
if (dist[curr.second] < curr.first) continue;
for (auto nxt : g[curr.second]) {
if (visited[nxt.to]) continue;
if (dist[nxt.to] > dist[curr.second] + nxt.cost) {
dist[nxt.to] = dist[curr.second] + nxt.cost;
que.emplace(-dist[nxt.to], nxt.to);
}
}
}
return dist;
}
typedef pair<lint, Vl> pa;
struct BinaryIndexedTree {
int n;
vector<lint> bit;
BinaryIndexedTree(int n_) : n(n_ + 1), bit(n, 0) {}
void add(int i, lint x) {
for (int idx = i; idx < n; idx += (idx & -idx)) {
bit[idx] += x;
}
}
lint sum(int i) {
lint s = 0;
for (int idx = i; idx > 0; idx -= (idx & -idx)) {
s += bit[idx];
}
return s;
}
int lower_bound(lint w) {
if (w <= 0) {
return 0;
}
else {
int x = 0, r = 1;
while (r < n) r = r << 1;
for (int len = r; len > 0; len = len >> 1) {
if (x + len < n && bit[x + len] < w) {
w -= bit[x + len];
x += len;
}
}
return x;
}
}
void show() {
for (int i = 0; i < n - 1; i++) {
cout << sum(i) - sum(i - 1) << " ";
}
cout << endk;
}
};
struct ExtendBinaryIndexedTree {
public:
ExtendBinaryIndexedTree(int _n) { init(_n); }
//半開区間[l, r)
void add(int l, int r, lint x) {
add_sub(0, l, -x * (l - 1));
add_sub(0, r, x * (r - 1));
add_sub(1, l, x);
add_sub(1, r, -x);
}
//区間[0, i)
lint sum(int i) {
return sum_sub(0, i) + sum_sub(1, i) * i;
}
void show() {
for (int i = 0; i < n - 1; i++) {
cout << sum(i + 1) - sum(i) << " ";
}
cout << endk;
}
private:
int n;
vector<lint> bit[2];
void init(int _n) {
n = _n + 1;
bit[0].assign(n, 0);
bit[1].assign(n, 0);
}
void add_sub(int p, int i, lint x) {
for (int idx = i; idx < n; idx += (idx & -idx)) {
bit[p][idx] += x;
}
}
lint sum_sub(int p, int i) {
lint s = 0;
for (int idx = i; idx > 0; idx -= (idx & -idx)) {
s += bit[p][idx];
}
return s;
}
};
template< typename G >
struct DoublingLowestCommonAncestor {
int LOG = 2;
vector< int > dep;
const G& g;
vector< vector< int > > table;
DoublingLowestCommonAncestor(const G& g) : g(g), dep(g.size()) {
int curr = 1;
while (curr < g.size()) {
curr *= 2;
LOG++;
}
table.assign(LOG, vector< int >(g.size(), -1));
}
void dfs(int idx, int par, int d) {
table[0][idx] = par;
dep[idx] = d;
for (auto& to : g[idx]) {
if (to != par) dfs(to, idx, d + 1);
}
}
void build() {
dfs(0, -1, 0);
for (int k = 0; k + 1 < LOG; k++) {
for (int i = 0; i < table[k].size(); i++) {
if (table[k][i] == -1) table[k + 1][i] = -1;
else table[k + 1][i] = table[k][table[k][i]];
}
}
}
int query(int u, int v) {
if (dep[u] > dep[v]) swap(u, v);
for (int i = LOG - 1; i >= 0; i--) {
if (((dep[v] - dep[u]) >> i) & 1) v = table[i][v];
}
if (u == v) return u;
for (int i = LOG - 1; i >= 0; i--) {
if (table[i][u] != table[i][v]) {
u = table[i][u];
v = table[i][v];
}
}
return table[0][u];
}
};
lint N, K, u, v, c, M, P, Q;
int main() {
cin >> N >> K;
WeightedGraph to(N + K);
VVl g(N);
REP(i, N - 1) {
cin >> u >> v >> c; u--; v--;
to[u].push_back({ v, c });
to[v].push_back({ u, c });
g[u].push_back(v);
g[v].push_back(u);
}
BinaryIndexedTree tree(2 * N);
DoublingLowestCommonAncestor lca(g);
lca.build();
Vl in(N), out(N);
lint idx = 1;
auto dfs = [&](auto&& dfs, lint curr, lint prv, lint cost) -> void {
in[curr] = idx;
idx++;
tree.add(in[curr], cost);
for (auto e : to[curr]) {
if (e.to == prv) continue;
dfs(dfs, e.to, curr, e.cost);
}
out[curr] = idx;
idx++;
tree.add(out[curr], -cost);
};
dfs(dfs, 0, -1, 0);
return 0;
V<pa> arr(K);
VVl _arr(K);
REP(i, K) {
cin >> M >> P;
_arr[i].assign(M, 0);
cin >> _arr[i];
REP(j, M) {
_arr[i][j]--;
to[_arr[i][j]].push_back({ N + i, P });
to[N + i].push_back({ _arr[i][j], 0 });
}
arr[i] = { P, _arr[i] };
}
REP(i, K) {
arr[i].second = Dijkstra(to, _arr[i]);
}
cin >> Q;
REP(i, Q) {
cin >> u >> v; u--; v--;
lint minv = INF;
REP(j, K) {
chmin(minv, arr[j].second[u] + arr[j].second[v] + arr[j].first);
}
lint _lca = lca.query(u, v);
chmin(minv, tree.sum(in[u]) + tree.sum(in[v]) - tree.sum(in[_lca]) * 2);
cout << minv << endk;
}
}
kaikey