結果
| 問題 |
No.5020 Averaging
|
| コンテスト | |
| ユーザー |
 hitonanode
|
| 提出日時 | 2024-02-27 00:45:19 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 983 ms / 1,000 ms |
| コード長 | 16,703 bytes |
| コンパイル時間 | 3,991 ms |
| コンパイル使用メモリ | 267,520 KB |
| 実行使用メモリ | 6,676 KB |
| スコア | 81,558,602 |
| 最終ジャッジ日時 | 2024-02-27 00:46:15 |
| 合計ジャッジ時間 | 55,290 ms |
|
ジャッジサーバーID （参考情報） |
judge13 / judge15 |
| 純コード判定しない問題か言語 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 50 |
ソースコード
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#include <iostream>
#include <string>
#include <utility>
#include <vector>
class JsonDumper {
struct KeyValue {
std::string key;
std::string value;
};
std::vector<KeyValue> _items;
bool dump_at_end = false;
public:
JsonDumper(bool dump_at_end_ = false) : dump_at_end(dump_at_end_) {}
~JsonDumper() {
if (dump_at_end) std::cout << dump() << std::endl;
}
void set_dump_at_end() { dump_at_end = true; }
void operator()(const std::string &key, const std::string &value) {
_items.push_back(KeyValue{key, "\"" + value + "\""});
}
template <class T> void operator()(const std::string &key, T value) {
_items.push_back(KeyValue{key, std::to_string(value)});
}
std::string dump() const {
std::string ret = "{\n";
if (!_items.empty()) {
for (const auto &[k, v] : _items) ret += " \"" + k + "\": " + v + ",\n";
ret.erase(ret.end() - 2);
}
ret += "}";
return ret;
}
} jdump;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for (int i = (begin), i##_end_ = (end); i < i##_end_; i++)
#define IFOR(i, begin, end) for (int 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)
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) {
return (num > 0 ? num / den : -((-num + den - 1) / den));
}
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) {
return std::make_pair(l.first + r.first, l.second + r.second);
}
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) {
return std::make_pair(l.first - r.first, l.second - r.second);
}
template <class T> std::vector<T> sort_unique(std::vector<T> vec) {
sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end());
return vec;
}
template <class T> int arglb(const std::vector<T> &v, const T &x) {
return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x));
}
template <class T> int argub(const std::vector<T> &v, const T &x) {
return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x));
}
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) {
for (auto &v : vec) is >> v;
return is;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH>
OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) {
os << '[';
for (auto v : vec) os << v << ',';
os << ']';
return os;
}
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) {
os << '[';
for (auto v : arr) os << v << ',';
os << ']';
return os;
}
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) {
std::apply([&is](auto &&...args) { ((is >> args), ...); }, tpl);
return is;
}
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) {
os << '(';
std::apply([&os](auto &&...args) { ((os << args << ','), ...); }, tpl);
return os << ')';
}
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) {
os << '{';
for (auto v : vec) os << v << ',';
os << '}';
return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) {
os << "deq[";
for (auto v : vec) os << v << ',';
os << ']';
return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) {
os << '{';
for (auto v : vec) os << v << ',';
os << '}';
return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) {
os << '{';
for (auto v : vec) os << v << ',';
os << '}';
return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) {
os << '{';
for (auto v : vec) os << v << ',';
os << '}';
return os;
}
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) {
return os << '(' << pa.first << ',' << pa.second << ')';
}
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) {
os << '{';
for (auto v : mp) os << v.first << "=>" << v.second << ',';
os << '}';
return os;
}
template <class OStream, class TK, class TV, class TH>
OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) {
os << '{';
for (auto v : mp) os << v.first << "=>" << v.second << ',';
os << '}';
return os;
}
#ifdef HITONANODE_LOCAL
const std::string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m",
BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m",
NORMAL_FAINT = "\033[0;2m";
#define dbg(x) \
std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " \
<< __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) \
((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ \
<< ") " << __FILE__ << COLOR_RESET << std::endl \
: std::cerr)
#else
#define dbg(x) 0
#define dbgif(cond, x) 0
#endif
#ifdef BENCHMARK
#define dump_onlinejudge(x) 0
struct setenv {
setenv() { jdump.set_dump_at_end(); }
} setenv_;
#else
#define dump_onlinejudge(x) (std::cout << (x) << std::endl)
#endif
#include <array>
#include <cassert>
#include <cmath>
#include <cstdlib>
#include <vector>
using namespace std;
using lint = long long;
using pint = std::pair<int, int>;
using plint = std::pair<lint, lint>;
struct fast_ios {
fast_ios() {
std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(20);
};
} fast_ios_;
constexpr int N = 45;
// void gen
constexpr lint AMIN = 100000000000000000;
constexpr lint AMAX = 1000000000000000000;
constexpr lint goalx = 500000000000000000;
constexpr lint goaly = 500000000000000000;
constexpr int MAXT = 50;
#include <cstdint>
#include <vector>
uint32_t rand_int() // XorShift random integer generator
{
static uint32_t x = 123456789, y = 362436069, z = 521288629, w = 88675123;
uint32_t t = x ^ (x << 11);
x = y;
y = z;
z = w;
return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}
double rand_double() { return (double)rand_int() / UINT32_MAX; }
template <class T> void shuffle_vec(std::vector<T> &vec) {
for (int i = 1; i < (int)vec.size(); ++i) {
const int j = rand_int() % (i + 1);
std::swap(vec.at(i), vec.at(j));
}
}
#include <chrono>
#include <random>
struct rand_int_ {
using lint = long long;
std::mt19937 mt;
rand_int_() : mt(std::chrono::steady_clock::now().time_since_epoch().count()) {}
lint operator()(lint x) { return this->operator()(0, x); } // [0, x)
lint operator()(lint l, lint r) {
std::uniform_int_distribution<lint> d(l, r - 1);
return d(mt);
}
} rnd;
double eval_diversity(const array<lint, N> &A, const array<lint, N> &B, const bitset<N> &alives, lint cx, lint cy) {
const int Z = 60;
// const double r = 0.9;
const double dec = 2.0;
vector<double> hi(Z, -1e18);
vector<double> invdsum(Z);
REP(i, A.size()) {
if (!alives[i]) continue;
const lint a = A.at(i);
const lint b = B.at(i);
const double theta = atan2(b - cy, a - cx);
int z = (theta / (2 * M_PI) + 0.5) * Z;
// z = (z % Z + Z) % Z;
const double dist = max(abs(a - cx), abs(b - cy)) + 1;
// chmax(hi.at(z), -log10(dist));
invdsum.at(z) += 1.0 / dist;
}
REP(z, Z) {
if (invdsum.at(z)) hi.at(z) = log10(invdsum.at(z));
}
REP(_, 2) {
FOR(i, 1, Z) {
chmax(hi.at(i), hi.at(i - 1) - dec);
}
chmax(hi.at(0), hi.at(Z - 1) - dec);
IFOR(i, 1, Z) {
chmax(hi.at(i - 1), hi.at(i) - dec);
}
chmax(hi.at(Z - 1), hi.at(0) - dec);
}
return accumulate(ALL(hi), 0.0);
}
int calc_score(lint max_v1v2) {
if (!max_v1v2) return 2000000 + 50;
double sol = 2000000 - 100000 * log10(max_v1v2 + 1);
return floor(sol);
}
using SolutionState = vector<pint>;
double eval_l2(const array<long long, N> &Ainit, const array<long long, N> &Binit, const SolutionState &sol) {
array<long long, N> A = Ainit, B = Binit;
for (auto [i, j] : sol) {
lint tmpa = (A.at(i) + A.at(j)) / 2;
lint tmpb = (B.at(i) + B.at(j)) / 2;
A.at(i) = A.at(j) = tmpa;
B.at(i) = B.at(j) = tmpb;
}
const double dx = abs(A.at(0) - goalx), dy = abs(B.at(0) - goaly);
return sqrt(dx * dx + dy * dy);
}
lint eval_linf(const array<long long, N> &Ainit, const array<long long, N> &Binit, const SolutionState &sol) {
array<long long, N> A = Ainit, B = Binit;
for (auto [i, j] : sol) {
lint tmpa = (A.at(i) + A.at(j)) / 2;
lint tmpb = (B.at(i) + B.at(j)) / 2;
A.at(i) = A.at(j) = tmpa;
B.at(i) = B.at(j) = tmpb;
}
const lint dx = abs(A.at(0) - goalx), dy = abs(B.at(0) - goaly);
return max(dx, dy);
}
template <int D> struct ExponentialDistSampler {
std::array<double, (1 << D)> logps;
constexpr ExponentialDistSampler() {
for (int i = 0; i < (1 << D); ++i) logps.at(i) = log((0.5 + i) / (1 << D));
}
// exp(-|dx| / T) >= p <=> -|dx| >= log(p) * T, p ~ U(0, 1)
bool operator()(double abs_dx, double T, uint32_t p) const { return -abs_dx >= logps.at(p & ((1 << D) - 1)) * T; }
};
const ExponentialDistSampler<16> log_ps;
struct Solver {
array<long long, N> initA, initB;
vector<pint> intro_ops;
vector<pint> best_intro_ops;
vector<int> after_intro;
vector<int> best_after_intro;
lint best_cost = 1LL << 62;
void check_best() {
if (chmin(best_cost, cost)) {
best_intro_ops = intro_ops;
best_after_intro = after_intro;
}
}
array<long long, N> preprocessedA, preprocessedB;
long long gx2, gy2;
lint cost;
static constexpr int E = 1;
void precalc() {
preprocessedA = initA;
preprocessedB = initB;
for (auto [i, j] : intro_ops) {
lint tmpa = (preprocessedA.at(i) + preprocessedA.at(j)) / 2;
lint tmpb = (preprocessedB.at(i) + preprocessedB.at(j)) / 2;
preprocessedA.at(i) = preprocessedA.at(j) = tmpa;
preprocessedB.at(i) = preprocessedB.at(j) = tmpb;
}
gx2 = preprocessedA.at(0) >> (after_intro.size() - E);
gy2 = preprocessedB.at(0) >> (after_intro.size() - E);
REP(d, after_intro.size()) {
const int i = after_intro.at(d);
gx2 += preprocessedA.at(i) >> (after_intro.size() - d - E);
gy2 += preprocessedB.at(i) >> (after_intro.size() - d - E);
}
cost = max(abs((gx2 >> E) - goalx), abs((gy2 >> E) - goaly));
check_best();
}
Solver(const array<long long, N> &A, const array<long long, N> &B) : initA(A), initB(B) {
after_intro.resize(N - 1);
REP(i, N - 1) after_intro.at(i) = i + 1;
precalc();
}
void swap2(int d, int e, double temp) {
const int i = after_intro.at(d);
const int j = after_intro.at(e);
lint tmpgx2 = gx2 - (preprocessedA.at(i) >> (after_intro.size() - d - E)) +
(preprocessedA.at(j) >> (after_intro.size() - d - E));
tmpgx2 += (preprocessedA.at(i) >> (after_intro.size() - e - E)) -
(preprocessedA.at(j) >> (after_intro.size() - e - E));
lint tmpgy2 = gy2 - (preprocessedB.at(i) >> (after_intro.size() - d - E)) +
(preprocessedB.at(j) >> (after_intro.size() - d - E));
tmpgy2 += (preprocessedB.at(i) >> (after_intro.size() - e - E)) -
(preprocessedB.at(j) >> (after_intro.size() - e - E));
lint tmpcost = max(abs((tmpgx2 >> E) - goalx), abs((tmpgy2 >> E) - goaly));
if (tmpcost <= cost or log_ps(tmpcost - cost, temp, rand_int())) {
swap(after_intro.at(d), after_intro.at(e));
gx2 = tmpgx2;
gy2 = tmpgy2;
cost = tmpcost;
check_best();
}
}
};
int main(int argc, char *argv[]) {
{
int n_;
cin >> n_;
assert(N == n_);
}
array<long long, N> A, B;
{
for (int i = 0; i < N; i++) {
cin >> A.at(i) >> B.at(i);
}
}
Solver solver(A, B);
// auto A0 = A, B0 = B;
// REP(_, 6) {
// lint maxdiff = 0;
// int a = 0, b = 0;
// REP(i, N) REP(j, i) {
// lint diff = max(abs(A0.at(i) - A0.at(j)), abs(B0.at(i) - B0.at(j)));
// if (chmax(maxdiff, diff)) {
// a = i, b = j;
// }
// }
// solver.intro_ops.emplace_back(a, b);
// lint tmpa = (A0.at(a) + A0.at(b)) / 2;
// lint tmpb = (B0.at(a) + B0.at(b)) / 2;
// A0.at(a) = A0.at(b) = tmpa;
// B0.at(a) = B0.at(b) = tmpb;
// }
// solver.precalc();
const double Tbegin = 1e17, Tend = 100;
constexpr int L = 1000000 * 15;
REP(_, L) {
double T = Tbegin * pow(Tend / Tbegin, 1.0 * _ / L);
int a = 0, b = 0;
if (rand_double() < 0.5) {
while (a == b) {
a = rand_int() % (N - 1);
b = rand_int() % (N - 1);
}
} else {
const int s = rand_int() % 3 + 1;
a = rand_int() % (N - 1 - s);
b = a + s;
}
solver.swap2(a, b, T);
}
vector<pint> best = solver.best_intro_ops;
for (int i : solver.best_after_intro) {
best.emplace_back(0, i);
}
dump_onlinejudge(best.size());
for (auto [i, j] : best) {
dump_onlinejudge(to_string(i + 1) + " " + to_string(j + 1));
}
const lint cost = eval_linf(A, B, best);
const int score = calc_score(cost);
jdump("score", score);
dbg(cost);
dbg(score);
}