Submission #109733

# Submission time Handle Problem Language Result Execution time Memory
109733 2019-05-07T20:33:36 Z Jatana Fences (JOI18_fences) C++17
18 / 100
726 ms 504 KB
/*
                                                                                                     
                                             `-:://:::-                                             
                                           `//:-------:/:`                                          
                                          .+:--.......--:+`                                         
                                         `+:--..`````..--//`                                        
                                         .o:--..`` ``..--:o`                                        
                                         .o:--...```..---+/`                                        
                                       `/y+o/---....---:+o.                                         
                                   `...````-os+/:---:/+o/--.`                                       
              `-/+++++/:.      `...`       :h+d+oooo+/+-`   ...                                     
            `/++//:::://++-`....`         -.`//````````:`     `..`                                  
           `o+/::------://o/`           `-` -.          -`       `..`                               
 `---.-o/:./o/::-..``..-ЗАПУСКАЕМ      ..  ..            -`        `...       ``..``                
  `....o+:-++/:--.```..-://s.        `-`  .-              -`          `-o: .-//::::/:-`             
          `:s+/:--....-::/+s-`      .-   `-                -`           -///:--------:/:`           
           ./s+//:::::://oo-``..НЕЙРОННУЮ: СЕТЬ:::::::-`РАБОТЯГИ        `+:--........--:/`          
            .:ooo+++++osso-`    `.:-...`/` ./::-------:/:`   -`         :+--..``````.--:+:...-+:-`  
             `.-/+++++/+-.-`    -.   ``:so:/:--.......--:+`  `-```````o+/+--..`````..--:o/-..:s+:.  
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                          -/`  `-` `- ``+s/o/:---...---:++.      `-`   .-../d://///:-.`             
                `.---..``-..-    .-/..`````-oo+/:::::/+o+-        `-``-`  `-.  ````                 
             `:++++/+++++-  ..``.-/:`      /y-:/++o++/:.`..`       ./.   `-                         
            -++/::::::://+/..:-``:` ..   `-.`  ```.```    `..`   `..`-` `-                          
       ``  -o//:--....-::/++` -.-`   `-`.-`                 `..`..`  `-.-                           
  -----ss+:++/:--.```..-://s.  /.     `::                    `-:.     ./`                           
  `````/:..+o/::-..``.--:/+s. ..-`   `-``-`                 ..` `-`  `-`-`                          
          `-s+/::-----::/+oo---``-` ..    .:-    ```      .-`     .-.-  `-`                         
           `:oo+//::://+os/..:`..-/:`      :y.-:::::::.`.-`        ./-`  `-`                        
            `./+oooooooo+/.`-    .-:...`.. .//:-------://`        `- `..` `:.                       
              ``.-::::-.``-/`  `-` `-  `oo:+:--.......--:/`      `-    `.:--h.``..```               
                          -.-`.-    .-   `+:--..`````..--//`    `-       /s-//::::::::.             
                         -` `/-      ..  .o:--..`` ``..--:o.```.-        `//:--------://`           
                        -` .-`.-`     -.`-o/--...```..--:+/.``-:....``:-.+:--....`...--:+`          
                       ..`-.   `-.   ``:os:o/:---...---:++.  `-     ``///+:-..``````.--:+-````-.`   
              `.:///////.-`      .:-..` -``-+o+/:::::/+o/.  `-         `:+:-..`````..--:o/:--/ys+-  
            `-++///////+o/. ``....`-.    :` `.:++++++/:.`  .-           -o/---......---/o.   `.`    
           `++//:-----::/+o:..`     .-`   :    ```````    .-           `+so+:--------:++-`          
  `````:-``:o/::-..`..--:/+o`         -.  `-             .-          `../../+o+////+o+:.`           
  -----syo/o+/:--.```..-://s.          .-` `-           .-        `...     ``-:////:-``             
       .` `/s//:--....-::/+s.            -. `-`        .-       `..`                                
           .+o+/:::--:://+s/-..`          .::+y  ```  .-     `..`                                   
            ./oo++////+oso-`   `....       :y-+:::::::/`   ...                                      
             `.:+oooooo/-`         `....-. .//:-------:/:-.`                                        
                ``...``                 /+:+:--.......--:+`                                         
                                         `+:--..`````..--//`                                        
                                         .o:--..`` ``..--:o`                                        
                                         .+/--...```..--:+/`                                        
                                         `-o/:---...---:++.                                         
                                          `-+o+/:---:/+o/.                                          
                                            `.:+oooo+/-.`                                           
                                               ``````                                               
*/

#ifdef aimbot
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
#endif

#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <queue>
#include <ostream>
#include <istream>
#include <typeinfo>
#include <iomanip>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <limits>
#include <fstream>
#include <array>
#include <list>
#include <bitset>
#include <functional>
#include <random>
#include <cstring>
#include <chrono>

#define random escape__from__random__aetuhoetnuhshe
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define umap unordered_map
#define uset unordered_set
#define elif else if
#define len(v) ((int)v.size())
#define f(i, n) for (int i = 0; i < (n); i++)
#define rof(i, n) for (int i = ((n) - 1); i >= 0; i--)
#define apply(v, act) for (auto &x : v) { act; }
#define log(args...) {string s = #args;deque<string> deq;\
string buf = "";int bal = 0;for (char c : s) {\
if (c == '(' || c == '[' || c == '{') {bal++;\
} else if (c == ')' || c == ']' || c == '}') {\
bal--;} else {if (bal == 0) {if (c == ',') {\
deq.pb(buf);buf = "";} else {if (c != ' ') {\
buf += c;}}}}}if (!buf.empty()) {deq.pb(buf);}\
smart_io::precall_print();smart_io::_print(deq, args);}

inline int min(const int &x, const int &y) { return (((y-x)>>(32-1))&(x^y))^x; }
inline int max(const int &x, const int &y) { return (((y-x)>>(32-1))&(x^y))^y; }
inline long long min(const long long &x, const long long &y) { return (((y-x)>>(64-1))&(x^y))^x; }
inline long long max(const long long &x, const long long &y) { return (((y-x)>>(64-1))&(x^y))^y; }

#define print    \
smart_io::precall_print(); \
cout,

#define scan cin,

#ifdef fast_allocator
const int MAXMEM = 200 * 1000 * 1024;
char _memory[MAXMEM];
size_t _ptr = 0;
void* operator new(size_t _x) { _ptr += _x; assert(_ptr < MAXMEM); return _memory + _ptr - _x; }
void operator delete (void*) noexcept {}
#endif

using namespace std;

char string_in_buffer[(int)260];


void fast_scan(int &x) { scanf("%d", &x); }
void fast_scan(long long &x) { scanf("%lld", &x); }
void fast_scan(unsigned long long &x) { scanf("%llu", &x); }
void fast_scan(double &x) { scanf("%lf", &x); }
void fast_scan(long double &x) { scanf("%Lf", &x); }
void fast_scan(char &x) {
	scanf("%c", &x);
	if (x == '\n') {
		fast_scan(x);
	}
}
void fast_scan(string &x) {
	scanf("%s", string_in_buffer);
	x = string(string_in_buffer);
}

template<class TFirst, class TSecond>
void fast_scan(pair<TFirst, TSecond> &p) {
	fast_scan(p.first);
	fast_scan(p.second);
}

template <class T>
void fast_scan(vector<T> &v) {
	for (auto &x : v) fast_scan(x);
}

void fast_print(const int &x) { printf("%d", x); }
void fast_print(const unsigned int &x) { printf("%u", x); }
void fast_print(const long long &x) { printf("%lld", x); }
void fast_print(const unsigned long long &x) { printf("%llu", x); }
void fast_print(const double &x) { printf("%.15lf", x); }
void fast_print(const long double &x) { printf("%.15Lf", x); }
void fast_print(const char &x) { printf("%c", x); };
void fast_print(const string &x) { printf("%s", x.c_str());}
void fast_print(const char v[]) { fast_print((string)v); }

template<class TFirst, class TSecond>
void fast_print(const pair<TFirst, TSecond> &p) {
	fast_print(p.first);
	fast_print(' ');
	fast_print(p.second);
}

template <class T>
void fast_print(const vector<T> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print(' ');
		fast_print(v[i]);
	}
}

template <class T>
void fast_print(const vector<vector<T>> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print('\n');
		fast_print(v[i]);
	}
}

template <class T>
void fast_print(const T &v) {
	for (const auto &x : v) {
		fast_print(x);
		fast_print(' ');
	}
}


using namespace std;


namespace smart_io {
	string print_start = "";
	string sep = " ";
	bool first_print = false;
	
	void precall_print() {
		fast_print(print_start);
		print_start = "\n";
		first_print = true;
	}
	
	void _print(deque<string>) {}
	template<class T, class... Args>
	void _print(deque<string> names, T elem, Args... args) {
		if (!first_print) {
			fast_print("\n");
		} else {
			first_print = false;
		}
		fast_print(names.front());
		fast_print(" = ");
		fast_print(elem);
		names.pop_front();
		_print(names, args...);
	}
} //namespace smart_io


template <class T>
ostream &operator,(ostream &os, const T &object) {
	if (!smart_io::first_print) {
		fast_print(smart_io::sep);
	} else {
		smart_io::first_print = false;
	}
	fast_print(object);
	return os;
}

template <class T>
istream &operator,(istream &is, T &object) {
	fast_scan(object);
	return is;
}

namespace random {
	using namespace std::chrono;
	mt19937 rng(duration_cast< milliseconds >(
											  system_clock::now().time_since_epoch()
											  ).count());
	uniform_real_distribution<> prob_dist(0.0, 1.0);
};

namespace typedefs {
	typedef long long ll;
	typedef unsigned long long ull;
	typedef pair<int, int> pii;
	typedef long double ld;
	typedef pair<ld, ld> pdd;
}

namespace numbers_operation {
	template<class T>
	T floor_mod(T a, T b) {
		if (a >= 0 && b >= 0) return a % b;
		if (a <= 0 && b <= 0) return a % b;
		return abs(b) - (abs(a) % abs(b));
	}
}

using namespace numbers_operation;
using namespace typedefs;
using namespace random;

int n, S;
vector<pdd> A, B;


ld dist(pdd a, pdd b) {
	return hypot(a.x - b.x, a.y - b.y);
}

pdd operator+(pdd a, pdd b) {
	return mp(a.x + b.x, a.y + b.y);
}

pdd operator-(pdd a, pdd b) {
	return mp(a.x - b.x, a.y - b.y);
}

pdd operator*(pdd p, ld x) {
	return mp(p.x * x, p.y * x);
}

ld operator^(pdd a, pdd b) {
	return a.x * b.y - a.y * b.x;
}


struct Line {
	ld a, b, c;
	Line(pdd p, pdd q) {
		pdd vec = p - q;
		a = -vec.y;
		b = vec.x;
		c = -a * p.x - b * p.y;
	}
	ld equate(pdd p) {
		return a * p.x + b * p.y + c;
	}
};

const ld EPS = 1e-9;
vector<Line> quad;

int sign(ld x) {
	if (x > 0) return 1;
	if (x < 0) return -1;
	return 0;
}

bool normal(pdd a, pdd b) {
	{
		if (all_of(quad.begin(), quad.end(), [&a](Line l) {
			return l.equate(a) > 0;
		})) return false;
		if (all_of(quad.begin(), quad.end(), [&b](Line l) {
			return l.equate(b) > 0;
		}))	return false;
	}
	{
		if (all_of(quad.begin(), quad.end(), [&a, &b](Line l) {
			return sign(l.equate(a)) == sign(l.equate(b));
		}))	return true;
	}
	if (dist(a, b) < EPS) return true;
	{
		pdd m = (a + b) * 0.5;
		if (!normal(a, m)) return false;
		return normal(m, b);
	}
}

ld find_nearest(pdd a, pdd b) {
	ld rez = 1e18;
	if (normal(a, b)) rez = min(rez, dist(a, b));
	for (pdd c : {
		mp(S, S),
		mp(S, -S),
		mp(-S, S),
		mp(-S, -S),
	}) {
		if (normal(a, c) && normal(c, b)) {
			rez = min(rez, dist(a, c) + dist(c, b));
		}
	}
	return rez;
}

pdd nearest(pdd a, pdd b, pdd c) {
	ld l = 0;
	ld r = 1;
	f(test, 100) {
		ld m1 = l + (r - l) / 3;
		ld m2 = r - (r - l) / 3;
		if (find_nearest(a + (b - a) * m1, c) < find_nearest(a + (b - a) * m2, c)) {
			r = m2;
		} else {
			l = m1;
		}
	}
	return (a + (b - a) * l);
}

vector<vector<pdd>> go;
vector<pdd> pts;

signed main(signed argc, char *argv[]) {
	scan n, S;
	A.resize(n);
	B.resize(n);
	f(i, n) {
		scan A[i], B[i];
		pts.pb(A[i]);
		pts.pb(B[i]);
	}
	{
		vector<pdd> _pts = {
			mp(-S + EPS, -S + EPS),
			mp(-S + EPS, S - EPS),
			mp(S - EPS, S - EPS),
			mp(S - EPS, -S + EPS)
		};
		f(i, 4) {
			quad.emplace_back(_pts[i], _pts[(i + 1) % 4]);
		}
	}
	pts.pb(mp(-S, S));
	pts.pb(mp(S, S));
	pts.pb(mp(-S, -S));
	pts.pb(mp(S, -S));
	sort(pts.begin(), pts.end());
	pts.resize(unique(pts.begin(), pts.end()) - pts.begin());
	auto id = [](pdd p) {
		return lower_bound(pts.begin(), pts.end(), p) - pts.begin();
	};
	go.resize(len(pts), vector<pdd>(len(pts), mp(1e18, 1e18)));
	f(i, len(pts)) {
		f(j, len(pts)) {
			go[i][j] = pts[i];
		}
	}
	f(i, n) {
		f(j, len(pts)) {
			pdd near = nearest(A[i], B[i], pts[j]);
			go[id(B[i])][j] = go[id(A[i])][j] = near;
		}
	}
	f(i, n) {
		// go[id(A[i])][id(B[i])] = B[i];
		// go[id(B[i])][id(A[i])] = A[i];
	}
	pdd R = mp(rng() % 1000 + 500, rng() % 1000 + 500);
	auto inter = [&R](pdd a, pdd b) {
		if (dist(a, b) < EPS) return false;
		return ((R ^ a) * (R ^ b)) < 0 && ((b - a) ^ (R - a)) * ((b - a) ^ (mp(0, 0) - a)) < 0;
	};

	vector<vector<ld>> dp(len(pts) * 2, vector<ld>(len(pts) * 2, 1e18));
	vector<vector<int>> pref(len(pts) * 2, vector<int>(len(pts) * 2, -1));
	f(i, n) {
		dp[2 * i][2 * i] = 0;
	}
	f(i, len(pts)) {
		f(j, len(pts)) {
			if (go[i][j].x == 1e18) continue;
			if (normal(pts[i], go[i][j]) && normal(go[i][j], pts[j])) {
				f(t, 2) {
					int c = inter(pts[i], go[i][j]) + inter(go[i][j], pts[j]);
					dp[2 * i + t][2 * j + ((t + c) % 2)] = dist(go[i][j], pts[j]);
					pref[2 * i + t][2 * j + ((t + c) % 2)] = 2 * i + t;
				}
			}
			if (normal(pts[j], go[j][i]) && normal(go[j][i], pts[i])) {
				f(t, 2) {
					int c = inter(pts[j], go[j][i]) + inter(go[j][i], pts[i]);
					if (dist(go[j][i], pts[i]) < dp[2 * i + t][2 * j + ((t + c) % 2)]) {
						dp[2 * i + t][2 * j + ((t + c) % 2)] = dist(go[j][i], pts[i]);
						pref[2 * i + t][2 * j + ((t + c) % 2)] = 2 * i + t;
					}
				}
			}
		}
	}
	for (int k = 0; k < len(dp); k++) {
		for (int i = 0; i < len(dp); i++) {
			for (int j = 0; j < len(dp); j++) {
				if (dp[i][j] > dp[i][k] + dp[k][j]) {
					dp[i][j] = dp[i][k] + dp[k][j];
					pref[i][j] = pref[k][j];
				}
			}
		}
	}
	ld rez = 1e18;
	int cur = -1;
	f(i, len(pts)) {
		if (rez > dp[i * 2][i * 2 + 1]) {
			rez = dp[i * 2][i * 2 + 1];
			cur = i * 2;
		}
	}
	int start = cur;
	cur++;
	// log(len(pts));
	vector<pdd> path;
	// while (cur != start) {
		// path.pb(pts[cur / 2]);
		// path.pb(go[pref[start][cur] / 2][cur / 2]);
		// cur = pref[start][cur];
	// }
	// log(R);
	path.pb(pts[cur / 2]);
	f(i, len(path)) {
		// print path[i], i;
		// print (int)inter(path[i], path[(i + 1) % len(path)]);
	}
	print rez;
}

Compilation message

fences.cpp: In function 'int main(int, char**)':
fences.cpp:486:6: warning: unused variable 'start' [-Wunused-variable]
  int start = cur;
      ^~~~~
fences.cpp: In function 'void fast_scan(int&)':
fences.cpp:138:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(int &x) { scanf("%d", &x); }
                          ~~~~~^~~~~~~~~~
fences.cpp: In function 'void fast_scan(long long int&)':
fences.cpp:139:37: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(long long &x) { scanf("%lld", &x); }
                                ~~~~~^~~~~~~~~~~~
fences.cpp: In function 'void fast_scan(long long unsigned int&)':
fences.cpp:140:46: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(unsigned long long &x) { scanf("%llu", &x); }
                                         ~~~~~^~~~~~~~~~~~
fences.cpp: In function 'void fast_scan(double&)':
fences.cpp:141:34: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(double &x) { scanf("%lf", &x); }
                             ~~~~~^~~~~~~~~~~
fences.cpp: In function 'void fast_scan(long double&)':
fences.cpp:142:39: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 void fast_scan(long double &x) { scanf("%Lf", &x); }
                                  ~~~~~^~~~~~~~~~~
fences.cpp: In function 'void fast_scan(char&)':
fences.cpp:144:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%c", &x);
  ~~~~~^~~~~~~~~~
fences.cpp: In function 'void fast_scan(std::__cxx11::string&)':
fences.cpp:150:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%s", string_in_buffer);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 50 ms 376 KB Output is correct
2 Correct 61 ms 376 KB Output is correct
3 Correct 59 ms 372 KB Output is correct
4 Correct 32 ms 384 KB Output is correct
5 Correct 46 ms 376 KB Output is correct
6 Correct 45 ms 376 KB Output is correct
7 Correct 40 ms 384 KB Output is correct
8 Correct 35 ms 384 KB Output is correct
9 Correct 33 ms 384 KB Output is correct
10 Correct 33 ms 408 KB Output is correct
11 Correct 63 ms 372 KB Output is correct
12 Correct 51 ms 384 KB Output is correct
13 Correct 56 ms 384 KB Output is correct
14 Correct 36 ms 384 KB Output is correct
15 Correct 40 ms 384 KB Output is correct
16 Correct 60 ms 384 KB Output is correct
17 Correct 66 ms 384 KB Output is correct
18 Correct 64 ms 504 KB Output is correct
19 Correct 46 ms 376 KB Output is correct
20 Correct 49 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 50 ms 376 KB Output is correct
2 Correct 61 ms 376 KB Output is correct
3 Correct 59 ms 372 KB Output is correct
4 Correct 32 ms 384 KB Output is correct
5 Correct 46 ms 376 KB Output is correct
6 Correct 45 ms 376 KB Output is correct
7 Correct 40 ms 384 KB Output is correct
8 Correct 35 ms 384 KB Output is correct
9 Correct 33 ms 384 KB Output is correct
10 Correct 33 ms 408 KB Output is correct
11 Correct 63 ms 372 KB Output is correct
12 Correct 51 ms 384 KB Output is correct
13 Correct 56 ms 384 KB Output is correct
14 Correct 36 ms 384 KB Output is correct
15 Correct 40 ms 384 KB Output is correct
16 Correct 60 ms 384 KB Output is correct
17 Correct 66 ms 384 KB Output is correct
18 Correct 64 ms 504 KB Output is correct
19 Correct 46 ms 376 KB Output is correct
20 Correct 49 ms 376 KB Output is correct
21 Correct 213 ms 408 KB Output is correct
22 Correct 726 ms 384 KB Output is correct
23 Correct 604 ms 384 KB Output is correct
24 Incorrect 531 ms 384 KB Output isn't correct
25 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 50 ms 376 KB Output is correct
2 Correct 61 ms 376 KB Output is correct
3 Correct 59 ms 372 KB Output is correct
4 Correct 32 ms 384 KB Output is correct
5 Correct 46 ms 376 KB Output is correct
6 Correct 45 ms 376 KB Output is correct
7 Correct 40 ms 384 KB Output is correct
8 Correct 35 ms 384 KB Output is correct
9 Correct 33 ms 384 KB Output is correct
10 Correct 33 ms 408 KB Output is correct
11 Correct 63 ms 372 KB Output is correct
12 Correct 51 ms 384 KB Output is correct
13 Correct 56 ms 384 KB Output is correct
14 Correct 36 ms 384 KB Output is correct
15 Correct 40 ms 384 KB Output is correct
16 Correct 60 ms 384 KB Output is correct
17 Correct 66 ms 384 KB Output is correct
18 Correct 64 ms 504 KB Output is correct
19 Correct 46 ms 376 KB Output is correct
20 Correct 49 ms 376 KB Output is correct
21 Correct 213 ms 408 KB Output is correct
22 Correct 726 ms 384 KB Output is correct
23 Correct 604 ms 384 KB Output is correct
24 Incorrect 531 ms 384 KB Output isn't correct
25 Halted 0 ms 0 KB -