結果

問題 No.1599 Hikyaku
ユーザー hirayuu_yc
提出日時 2024-09-20 11:17:40
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,012 ms / 7,500 ms
コード長 10,288 bytes
コンパイル時間 6,678 ms
コンパイル使用メモリ 290,456 KB
実行使用メモリ 64,972 KB
最終ジャッジ日時 2024-09-20 11:18:21
合計ジャッジ時間 35,494 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 4
other AC * 49
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#line 2 "Template/Template.hpp"
#include <bits/stdc++.h>
using namespace std;
#line 8 "Template/InOut.hpp"
inline void scan() {}
inline void scan(int &a) { std::cin >> a; }
inline void scan(unsigned &a) { std::cin >> a; }
inline void scan(long &a) { std::cin >> a; }
inline void scan(long long &a) { std::cin >> a; }
inline void scan(unsigned long long &a) { std::cin >> a; }
inline void scan(char &a) { std::cin >> a; }
inline void scan(float &a) { std::cin >> a; }
inline void scan(double &a) { std::cin >> a; }
inline void scan(long double &a) { std::cin >> a; }
inline void scan(std::vector<bool> &vec) {
for (int32_t i = 0; i < vec.size(); i++) {
int a;
scan(a);
vec[i] = a;
}
}
inline void scan(std::string &a) { std::cin >> a; }
template <class T>
inline void scan(std::vector<T> &vec);
template <class T, size_t size>
inline void scan(std::array<T, size> &vec);
template <class T, class L>
inline void scan(std::pair<T, L> &p);
template <class T, size_t size>
inline void scan(T (&vec)[size]);
template <class T>
inline void scan(std::vector<T> &vec) {
for (auto &i : vec) scan(i);
}
template <class T>
inline void scan(std::deque<T> &vec) {
for (auto &i : vec) scan(i);
}
template <class T, size_t size>
inline void scan(std::array<T, size> &vec) {
for (auto &i : vec) scan(i);
}
template <class T, class L>
inline void scan(std::pair<T, L> &p) {
scan(p.first);
scan(p.second);
}
template <class T, size_t size>
inline void scan(T (&vec)[size]) {
for (auto &i : vec) scan(i);
}
template <class T>
inline void scan(T &a) {
std::cin >> a;
}
inline void in() {}
template <class Head, class... Tail>
inline void in(Head &head, Tail &...tail) {
scan(head);
in(tail...);
}
inline void print() { std::cout << ' '; }
inline void print(const bool &a) { std::cout << a; }
inline void print(const int &a) { std::cout << a; }
inline void print(const unsigned &a) { std::cout << a; }
inline void print(const long &a) { std::cout << a; }
inline void print(const long long &a) { std::cout << a; }
inline void print(const unsigned long long &a) { std::cout << a; }
inline void print(const char &a) { std::cout << a; }
inline void print(const char a[]) { std::cout << a; }
inline void print(const float &a) { std::cout << a; }
inline void print(const double &a) { std::cout << a; }
inline void print(const long double &a) { std::cout << a; }
inline void print(const std::string &a) {
for (auto &&i : a) print(i);
}
template <class T>
inline void print(const std::vector<T> &vec);
template <class T, size_t size>
inline void print(const std::array<T, size> &vec);
template <class T, class L>
inline void print(const std::pair<T, L> &p);
template <class T, size_t size>
inline void print(const T (&vec)[size]);
template <class T>
inline void print(const std::vector<T> &vec) {
if (vec.empty()) return;
print(vec[0]);
for (auto i = vec.begin(); ++i != vec.end();) {
std::cout << ' ';
print(*i);
}
}
template <class T>
inline void print(const std::deque<T> &vec) {
if (vec.empty()) return;
print(vec[0]);
for (auto i = vec.begin(); ++i != vec.end();) {
std::cout << ' ';
print(*i);
}
}
template <class T, size_t size>
inline void print(const std::array<T, size> &vec) {
print(vec[0]);
for (auto i = vec.begin(); ++i != vec.end();) {
std::cout << ' ';
print(*i);
}
}
template <class T, class L>
inline void print(const std::pair<T, L> &p) {
print(p.first);
std::cout << ' ';
print(p.second);
}
template <class T, size_t size>
inline void print(const T (&vec)[size]) {
print(vec[0]);
for (auto i = vec; ++i != end(vec);) {
std::cout << ' ';
print(*i);
}
}
template <class T>
inline void print(const T &a) {
std::cout << a;
}
inline void out() { std::cout << '\n'; }
template <class T>
inline void out(const T &t) {
print(t);
std::cout << '\n';
}
template <class Head, class... Tail>
inline void out(const Head &head, const Tail &...tail) {
print(head);
std::cout << ' ';
out(tail...);
}
inline void Yes(bool i = true) { out(i ? "Yes" : "No"); }
inline void No(bool i = true) { out(i ? "No" : "Yes"); }
inline void Takahashi(bool i = true) { out(i ? "Takahashi" : "Aoki"); }
inline void Aoki(bool i = true) { out(i ? "Aoki" : "Takahashi"); }
inline void First(bool i = true) { out(i ? "First" : "Second"); }
inline void Second(bool i = true) { out(i ? "Second" : "First"); }
inline void Possible(bool i = true) { out(i ? "Possible" : "Impossible"); }
inline void Impossible(bool i = true) { out(i ? "Impossible" : "Possible"); }
inline void fls() { std::flush(std::cout); }
struct IOsetup {
IOsetup() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout << std::fixed << std::setprecision(16);
}
} iosetup;
#line 8 "Template/Util.hpp"
using ll = long long;
using ld = double;
using ull = unsigned long long;
using uint = unsigned int;
using pll = std::pair<ll, ll>;
using pii = std::pair<int, int>;
using vl = std::vector<ll>;
using vvl = std::vector<std::vector<ll>>;
using pdd = std::pair<ld, ld>;
using tuplis = std::array<ll, 3>;
template <class T>
using pq = std::priority_queue<T, std::vector<T>, std::greater<T>>;
constexpr ll LINF = (1LL << 62) - (1LL << 31);
constexpr int32_t INF = INT_MAX >> 1;
constexpr ll MINF = 1LL << 40;
constexpr ld DINF = std::numeric_limits<ld>::infinity();
constexpr int32_t MODD = 1000000007;
constexpr int32_t MOD = 998244353;
constexpr ld EPS = 1e-9;
constexpr ld PI = 3.1415926535897932;
const ll four[] = {0, 1, 0, -1, 0};
const ll eight[] = {0, 1, 1, 0, -1, -1, 1, -1, 0};
template <class T>
bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return true;
} else
return false;
}
template <class T>
bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return true;
} else
return false;
}
template <class T>
ll sum(const T &a) {
return accumulate(std::begin(a), std::end(a), 0LL);
}
template <class T>
ld dsum(const T &a) {
return accumulate(std::begin(a), std::end(a), 0.0L);
}
template <class T>
auto min(const T &a) {
return *min_element(std::begin(a), std::end(a));
}
template <class T>
auto max(const T &a) {
return *max_element(std::begin(a), std::end(a));
}
#line 1 "Template/Macro.hpp"
#define _overload3(_1, _2, _3, name, ...) name
#define _overload4(_1, _2, _3, _4, name, ...) name
#define _rep1(i, n) for (ll i = 0; i < (n); i++)
#define _rep2(i, a, b) for (ll i = (a); i < (b); i++)
#define _rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) _overload4(__VA_ARGS__, _rep3, _rep2, _rep1)(__VA_ARGS__)
#define _rrep1(i, n) for (ll i = (n) - 1; i >= 0; i--)
#define _rrep2(i, a, b) for (ll i = (b) - 1; i >= (a); i--)
#define rrep(...) _overload3(__VA_ARGS__, _rrep2, _rrep1)(__VA_ARGS__)
#define each(i, ...) for (auto&& i : __VA_ARGS__)
#define all(i) std::begin(i), std::end(i)
#define rall(i) std::rbegin(i), std::rend(i)
#define len(x) ((ll)(x).size())
#define fi first
#define se second
#define uniq(x) x.erase(unique(all(x)), std::end(x))
#define vec(type, name, ...) vector<type> name(__VA_ARGS__);
#define vv(type, name, h, ...) std::vector<std::vector<type>> name(h, std::vector<type>(__VA_ARGS__));
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) long long __VA_ARGS__; in(__VA_ARGS__)
#define ULL(...) unsigned long long __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) std::string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) long double __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) std::vector<type> name(size); in(name)
#define VV(type, name, h, w) std::vector<std::vector<type>> name(h, std::vector<type>(w)); in(name)
#line 8 "Template/Template.hpp"
constexpr ll H=600,W=600;
constexpr ll speed=8;
constexpr ld road=1000;
int main(){
LL(X,Y);
LL(N);
VEC(tuplis,mails,N);
array<array<array<ld,W>,H>,speed> dist;
array<array<array<ld,W>,H>,speed> dp;
rep(i,speed){
rep(j,H){
rep(k,W){
dist[i][j][k]=DINF;
dp[i][j][k]=DINF;
}
}
}
X--;Y--;
queue<tuplis> que;
rep(i,N){
mails[i][0]--;mails[i][1]--;
dist[mails[i][2]][mails[i][0]][mails[i][1]]=0;
que.push(mails[i]);
}
while(!que.empty()){
ll sp=que.front()[2],x=que.front()[0],y=que.front()[1];
que.pop();
rep(i,4){
ll nx=x+four[i],ny=y+four[i+1];
if(nx<0||H<=nx||ny<0||W<=ny)continue;
if(isinf(dist[sp][nx][ny])){
dist[sp][nx][ny]=dist[sp][x][y]+road/sp;
que.push({nx,ny,sp});
}
}
}
pq<pair<ld,tuplis>> vert;
dp[mails[0][2]][mails[0][0]][mails[0][1]]=0;
vert.push({0,mails[0]});
while(!vert.empty()){
ll sp=vert.top().se[2],x=vert.top().se[0],y=vert.top().se[1];
ld dis=vert.top().fi;
vert.pop();
if(abs(dp[sp][x][y]-dis)>EPS)continue;
rep(i,sp+1,speed){
if(chmin(dp[i][x][y],max(dis,dist[i][x][y]))){
vert.push({dp[i][x][y],{x,y,i}});
}
}
rep(i,4){
ll nx=x+four[i],ny=y+four[i+1];
if(nx<0||H<=nx||ny<0||W<=ny)continue;
if(chmin(dp[sp][nx][ny],dis+road/sp)){
vert.push({dp[sp][nx][ny],{nx,ny,sp}});
}
array<ld,speed> meet;
array<ld,speed> rest;
fill(all(meet),DINF);
meet[sp]=dis;
rest[sp]=1000;
rep(j,sp+1,speed){
rep(k,sp,j){
if(isinf(meet[k]))continue;
if(meet[k]+rest[k]/sp<dist[j][nx][ny])continue;
if(dist[j][nx][ny]+rest[k]/j<meet[k])continue;
if(chmin(meet[j],(rest[k]+meet[k]*k+dist[j][nx][ny]*j)/(k+j)))rest[j]=(meet[j]-dist[j][nx][ny])*j;
}
if(chmin(dp[j][nx][ny],meet[j]*2-dist[j][nx][ny])){
vert.push({dp[j][nx][ny],{nx,ny,j}});
}
}
}
}
ld ans=DINF;
rep(i,speed){
chmin(ans,dp[i][X][Y]);
}
out(ans);
}
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