結果
| 問題 | No.1283 Extra Fee |
| ユーザー |
 iiljj
|
| 提出日時 | 2020-11-07 00:01:13 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 718 ms / 2,000 ms |
| コード長 | 12,724 bytes |
| コンパイル時間 | 3,141 ms |
| コンパイル使用メモリ | 224,252 KB |
| 実行使用メモリ | 147,880 KB |
| 最終ジャッジ日時 | 2024-11-16 06:52:43 |
| 合計ジャッジ時間 | 12,040 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
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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
6,820 KB |
| testcase_01 | AC | 1 ms
6,820 KB |
| testcase_02 | AC | 2 ms
6,820 KB |
| testcase_03 | AC | 2 ms
6,820 KB |
| testcase_04 | AC | 2 ms
6,820 KB |
| testcase_05 | AC | 2 ms
6,820 KB |
| testcase_06 | AC | 2 ms
6,816 KB |
| testcase_07 | AC | 1 ms
6,820 KB |
| testcase_08 | AC | 2 ms
6,816 KB |
| testcase_09 | AC | 2 ms
6,816 KB |
| testcase_10 | AC | 2 ms
6,816 KB |
| testcase_11 | AC | 17 ms
9,216 KB |
| testcase_12 | AC | 23 ms
11,136 KB |
| testcase_13 | AC | 16 ms
8,960 KB |
| testcase_14 | AC | 88 ms
28,672 KB |
| testcase_15 | AC | 156 ms
43,920 KB |
| testcase_16 | AC | 25 ms
11,904 KB |
| testcase_17 | AC | 332 ms
99,460 KB |
| testcase_18 | AC | 619 ms
133,492 KB |
| testcase_19 | AC | 694 ms
143,228 KB |
| testcase_20 | AC | 638 ms
134,324 KB |
| testcase_21 | AC | 679 ms
136,520 KB |
| testcase_22 | AC | 578 ms
122,476 KB |
| testcase_23 | AC | 684 ms
147,848 KB |
| testcase_24 | AC | 676 ms
147,872 KB |
| testcase_25 | AC | 689 ms
147,744 KB |
| testcase_26 | AC | 718 ms
147,748 KB |
| testcase_27 | AC | 713 ms
147,812 KB |
| testcase_28 | AC | 700 ms
147,880 KB |
| testcase_29 | AC | 368 ms
107,936 KB |
ソースコード
/* #region Head */
// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;
#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c) \
sort(ALL(c)); \
for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))
#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l
constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;
template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
for (T &x : vec) is >> x;
return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
os << "{";
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
return os;
}
template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
is >> pair_var.first >> pair_var.second;
return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
os << "{";
REPI(itr, map_var) {
os << *itr;
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
os << "{";
REPI(itr, map_var) {
auto [key, value] = *itr;
os << "(" << key << ", " << value << ")";
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
pq<T> pq_cp(pq_var);
os << "{";
if (!pq_cp.empty()) {
os << pq_cp.top(), pq_cp.pop();
while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
}
return os << "}";
}
void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail) > 0) cout << ' ';
pprint(move(tail)...);
}
// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(move(tail)...);
}
// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
if (comp(xmax, x)) {
xmax = x;
return true;
}
return false;
}
// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
if (comp(x, xmin)) {
xmin = x;
return true;
}
return false;
}
// ローカル用
#define DEBUG_
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
#define VAR(type, ...) \
type __VA_ARGS__; \
cin >> __VA_ARGS__;
template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }
struct AtCoderInitialize {
static constexpr int IOS_PREC = 15;
static constexpr bool AUTOFLUSH = false;
AtCoderInitialize() {
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
cout << fixed << setprecision(IOS_PREC);
if (AUTOFLUSH) cout << unitbuf;
}
} ATCODER_INITIALIZE;
void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }
/* #endregion */
// #include <atcoder/all>
// using namespace atcoder;
/* #region Graph */
// エッジ（本来エッジは双方向だが，ここでは単方向で管理）
template <class weight_t = int, class flow_t = int> struct Edge {
ll src; // エッジ始点となる頂点
ll dst; // エッジ終点となる頂点
weight_t weight; // 重み
flow_t cap;
Edge() : src(0), dst(0), weight(0) {}
Edge(ll src, ll dst, weight_t weight) : src(src), dst(dst), weight(weight) {}
Edge(ll src, ll dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {}
// Edge 標準出力
friend ostream &operator<<(ostream &os, Edge &edge) {
os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")";
return os;
}
};
// 同じ頂点を始点とするエッジ集合
template <class weight_t = int, class flow_t = int> class Node : public vc<Edge<weight_t, flow_t>> {
public:
ll idx;
Node() : vc<Edge<weight_t, flow_t>>() {}
// void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); };
};
// graph[i] := 頂点 i を始点とするエッジ集合
template <class weight_t = int, class flow_t = int> class Graph : public vc<Node<weight_t, flow_t>> {
public:
Graph() : vc<Node<weight_t, flow_t>>() {}
Graph(int n) : vc<Node<weight_t, flow_t>>(n) { REP(i, 0, n)(*this)[i].idx = i; }
// 単方向
void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); }
// 双方向
void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); }
};
// using Array = vc<Weight>;
// using Matrix = vc<Array>;
/* #endregion */
template <class Weight = ll> struct Dijkstra {
// pair 比較よりも struct 比較のほうが速い
struct state {
Weight cost;
int dst;
state(Weight cost, int dst) : cost(cost), dst(dst) {}
bool operator<(const state &o) const { return cost > o.cost; }
// bool operator>(const state &o) const { return cost > o.cost; }
};
Graph<Weight> graph;
vc<Weight> dist;
vc<int> bs;
Weight inf;
// コンストラクタ
Dijkstra(int n, Weight inf) : graph(n), dist(n, inf), bs(n, -1), inf(inf) {}
// 有向辺の追加
void add_edge(int src, int dst, Weight cost) { graph.add_arc(src, dst, cost); }
void build(int start, Weight init) {
priority_queue<state> que; // 昇順に並べ替え，小さい順に取り出す
fill(ALL(dist), inf);
fill(ALL(bs), -1);
dist[start] = init;
que.emplace(init, start);
while (que.size()) {
state cur = que.top(); // tie(d, v) = que.top();
que.pop();
int cur_node = cur.dst;
Weight cur_cost = cur.cost;
if (dist[cur_node] < cur_cost) continue;
for (Edge<Weight> edge : graph[cur_node])
if (chmin(dist[edge.dst], dist[cur_node] + edge.weight)) {
que.emplace(dist[edge.dst], edge.dst);
bs[edge.dst] = cur_node;
}
}
}
// あるノードまでの距離を返す
Weight operator[](int dst) { return dist[dst]; }
// 経路復元
vc<int> restore(int dst) {
vc<int> res;
if (bs[dst] < 0) return res;
while (~dst) res.emplace_back(dst), dst = bs[dst];
reverse(ALL(res));
return res;
}
};
// Problem
void solve() {
VAR(ll, n, m);
vll h(m), w(m), c(m);
REP(i, 0, m) {
cin >> h[i] >> w[i] >> c[i];
--h[i], --w[i];
}
set<pll> sekisho;
REP(i, 0, m) sekisho.emplace(h[i], w[i]);
using Weight = ll;
Dijkstra<Weight> dijkstra(n * n * 2, INF);
ll offset = n * n;
auto idx = [&](ll i, ll j) -> ll { return n * i + j; };
auto idx2 = [&](ll i, ll j) -> ll { return n * i + j + offset; };
REP(k, 0, m) {
ll i = h[k], j = w[k];
// dump(i, j);
ll cur = idx(i, j);
ll cur2 = idx2(i, j);
if (j != n - 1) {
dijkstra.add_edge(cur, idx(i, j + 1), c[k] + 1); // 右
dijkstra.add_edge(cur2, idx2(i, j + 1), c[k] + 1); // 右
dijkstra.add_edge(cur, idx2(i, j + 1), 1); // 右
}
if (j != 0) {
dijkstra.add_edge(cur, idx(i, j - 1), c[k] + 1); // 左
dijkstra.add_edge(cur2, idx2(i, j - 1), c[k] + 1); // 左
dijkstra.add_edge(cur, idx2(i, j - 1), 1); // 左
}
if (i != n - 1) {
dijkstra.add_edge(cur, idx(i + 1, j), c[k] + 1); // 下
dijkstra.add_edge(cur2, idx2(i + 1, j), c[k] + 1); // 下
dijkstra.add_edge(cur, idx2(i + 1, j), 1); // 下
}
if (i != 0) {
dijkstra.add_edge(cur, idx(i - 1, j), c[k] + 1); // 上
dijkstra.add_edge(cur2, idx2(i - 1, j), c[k] + 1); // 上
dijkstra.add_edge(cur, idx2(i - 1, j), 1); // 上
}
}
// 出るときにコストがかかるようにする
REP(i, 0, n) REP(j, 0, n) {
if (sekisho.count(pll(i, j))) continue;
if (i == n - 1 && j == n - 1) continue;
ll cur = idx(i, j);
ll cur2 = idx2(i, j);
if (j != n - 1) {
dijkstra.add_edge(cur, idx(i, j + 1), 1); // 右
dijkstra.add_edge(cur2, idx2(i, j + 1), 1); // 右
}
if (j != 0) {
dijkstra.add_edge(cur, idx(i, j - 1), 1); // 左
dijkstra.add_edge(cur2, idx2(i, j - 1), 1); // 左
}
if (i != n - 1) {
dijkstra.add_edge(cur, idx(i + 1, j), 1); // 下
dijkstra.add_edge(cur2, idx2(i + 1, j), 1); // 下
}
if (i != 0) {
dijkstra.add_edge(cur, idx(i - 1, j), 1); // 上
dijkstra.add_edge(cur2, idx2(i - 1, j), 1); // 上
}
}
// dump(dijkstra.graph);
dijkstra.build(0, 0);
// dump(dijkstra.dist);
ll ans = min(dijkstra.dist[idx(n - 1, n - 1)], dijkstra.dist[idx2(n - 1, n - 1)]);
pprint(ans);
}
// entry point
int main() {
solve();
return 0;
}