結果
| 問題 | No.5020 Averaging |
| ユーザー |
 hitonanode
|
| 提出日時 | 2024-02-25 15:33:52 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 227 ms / 1,000 ms |
| コード長 | 16,328 bytes |
| コンパイル時間 | 2,778 ms |
| コンパイル使用メモリ | 202,544 KB |
| 実行使用メモリ | 77,796 KB |
| スコア | 31,572,367 |
| 最終ジャッジ日時 | 2024-02-25 15:34:08 |
| 合計ジャッジ時間 | 15,036 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge10 |
| 純コード判定しない問題か言語 |
（要ログイン）
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 | 194 ms
77,796 KB |
| testcase_01 | AC | 196 ms
77,796 KB |
| testcase_02 | AC | 201 ms
77,796 KB |
| testcase_03 | AC | 227 ms
77,796 KB |
| testcase_04 | AC | 201 ms
77,796 KB |
| testcase_05 | AC | 201 ms
77,796 KB |
| testcase_06 | AC | 190 ms
77,796 KB |
| testcase_07 | AC | 208 ms
77,796 KB |
| testcase_08 | AC | 189 ms
77,796 KB |
| testcase_09 | AC | 199 ms
77,796 KB |
| testcase_10 | AC | 205 ms
77,796 KB |
| testcase_11 | AC | 195 ms
77,796 KB |
| testcase_12 | AC | 202 ms
77,796 KB |
| testcase_13 | AC | 199 ms
77,796 KB |
| testcase_14 | AC | 199 ms
77,796 KB |
| testcase_15 | AC | 193 ms
77,796 KB |
| testcase_16 | AC | 200 ms
77,796 KB |
| testcase_17 | AC | 186 ms
77,796 KB |
| testcase_18 | AC | 197 ms
77,796 KB |
| testcase_19 | AC | 207 ms
77,796 KB |
| testcase_20 | AC | 199 ms
77,796 KB |
| testcase_21 | AC | 214 ms
77,796 KB |
| testcase_22 | AC | 199 ms
77,796 KB |
| testcase_23 | AC | 193 ms
77,796 KB |
| testcase_24 | AC | 199 ms
77,796 KB |
| testcase_25 | AC | 198 ms
77,796 KB |
| testcase_26 | AC | 195 ms
77,796 KB |
| testcase_27 | AC | 195 ms
77,796 KB |
| testcase_28 | AC | 200 ms
77,796 KB |
| testcase_29 | AC | 200 ms
77,796 KB |
| testcase_30 | AC | 201 ms
77,796 KB |
| testcase_31 | AC | 193 ms
77,796 KB |
| testcase_32 | AC | 188 ms
77,796 KB |
| testcase_33 | AC | 203 ms
77,796 KB |
| testcase_34 | AC | 202 ms
77,796 KB |
| testcase_35 | AC | 193 ms
77,796 KB |
| testcase_36 | AC | 208 ms
77,796 KB |
| testcase_37 | AC | 197 ms
77,796 KB |
| testcase_38 | AC | 203 ms
77,796 KB |
| testcase_39 | AC | 191 ms
77,796 KB |
| testcase_40 | AC | 194 ms
77,796 KB |
| testcase_41 | AC | 198 ms
77,796 KB |
| testcase_42 | AC | 201 ms
77,796 KB |
| testcase_43 | AC | 202 ms
77,796 KB |
| testcase_44 | AC | 202 ms
77,796 KB |
| testcase_45 | AC | 199 ms
77,796 KB |
| testcase_46 | AC | 195 ms
77,796 KB |
| testcase_47 | AC | 201 ms
77,796 KB |
| testcase_48 | AC | 194 ms
77,796 KB |
| testcase_49 | AC | 201 ms
77,796 KB |
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
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, lint cx, lint cy) {
const int Z = 360;
// const double r = 0.9;
const double dec = 0.05;
const int N = A.size();
double res = 0;
vector<double> hi(Z, -1e18);
REP(i, A.size()) {
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 = log10(max(abs(a - cx), abs(b - cy)) + 1);
chmax(hi.at(z), -dist);
}
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);
}
struct State {
State *par = nullptr;
std::vector<pint> par_op; // par からどのような手でこれに到達するか
int num_steps = 0;
std::array<lint, N> A, B;
static State gen_root(const array<lint, N> &A, const array<lint, N> &B) {
State s;
s.A = A;
s.B = B;
return s;
}
State gen_next(const vector<pint> ops) {
State next;
next.par = this;
next.par_op = ops;
next.num_steps = num_steps + (int)ops.size();
next.A = A;
next.B = B;
for (auto [i, j] : ops) {
lint tmpa = (next.A.at(i) + next.A.at(j)) / 2;
lint tmpb = (next.B.at(i) + next.B.at(j)) / 2;
next.A.at(i) = next.A.at(j) = tmpa;
next.B.at(i) = next.B.at(j) = tmpb;
}
return next;
}
State primer() {
vector<pint> best_ops;
double best = AMAX;
// const lint cx = goalx * 2 - A.at(0);
const lint cx = goalx;
// const lint cy = goaly * 2 - B.at(0);
const lint cy = goaly;
auto Anxt = A, Bnxt = B;
REP(i, N) REP(j, i) {
// double cur = log(1.0 * max(abs(A.at(i) - cx), abs(B.at(i) - cy)) * max(abs(A.at(j) - cx), abs(B.at(j) - cy)));
lint a = (A.at(i) + A.at(j)) / 2;
lint b = (B.at(i) + B.at(j)) / 2;
// if ((A.at(0) < cx) == (a < cx)) continue;
// if ((B.at(0) < cy) == (b < cy)) continue;
// lint d = max(abs(a - cx), abs(b - cy));
Anxt.at(i) = Anxt.at(j) = a;
Bnxt.at(i) = Bnxt.at(j) = b;
double after = eval_diversity(Anxt, Bnxt, cx, cy);
Anxt.at(i) = A.at(i);
Anxt.at(j) = A.at(j);
Bnxt.at(i) = B.at(i);
Bnxt.at(j) = B.at(j);
// double after = log(1.0 * d * d);
if (chmin(best, -after)) best_ops = {{i, j}};
}
// FOR(i, 1, N) {
// lint a = (A.at(0) + A.at(i)) / 2;
// lint b = (B.at(0) + B.at(i)) / 2;
// if (chmin(best, max(abs(a - center), abs(b - center)))) {
// best_ops = {{0, i}};
// }
// }
return gen_next(best_ops);
}
State greedy2() {
lint best = AMAX;
vector<pint> best_ops;
// 0-i
FOR(i, 1, N) {
lint a = (A.at(0) + A.at(i)) / 2;
lint b = (B.at(0) + B.at(i)) / 2;
if (chmin(best, max(abs(a - goalx), abs(b - goaly)))) {
best_ops = {{0, i}};
}
}
// i-j, 0-i
// i-j, 0-i, 0-j
if (num_steps + 2 <= MAXT) {
FOR(i, 1, N) FOR(j, 1, i) {
const lint a1 = (A.at(i) + A.at(j)) / 2;
const lint b1 = (B.at(i) + B.at(j)) / 2;
{
const lint a = (A.at(0) + a1) / 2;
const lint b = (B.at(0) + b1) / 2;
if (chmin(best, max(abs(a - goalx), abs(b - goaly)))) {
best_ops = {{i, j}, {0, i}};
}
if (num_steps + 3 <= MAXT) {
const lint a2 = (a + a1) / 2;
const lint b2 = (b + b1) / 2;
if (chmin(best, max(abs(a2 - goalx), abs(b2 - goaly)))) {
best_ops = {{i, j}, {0, i}, {0, j}};
}
}
}
}
}
return gen_next(best_ops);
}
lint eval_linf() const { return max(abs(A.at(0) - goalx), abs(B.at(0) - goaly)); }
};
int calc_score(lint max_v1v2) {
if (!max_v1v2) return 2000000 + 50;
double sol = 2000000 - 100000 * log10(max_v1v2 + 1);
return floor(sol);
}
void experiment() {
constexpr int D = 28;
vector<lint> A(D), B(D);
REP(i, D) {
A.at(i) = rnd(AMIN, AMAX);
B.at(i) = rnd(AMIN, AMAX);
}
lint best_s = 0;
lint best = 1LL << 60;
FOR(S, 1, 1 << D) {
lint asum = 0, bsum = 0, num = 0;
REP(i, D) {
if ((S >> i) & 1) {
asum += A.at(i);
bsum += B.at(i);
++num;
}
}
asum /= num;
bsum /= num;
const lint eval = max(abs(asum - goalx), abs(bsum - goaly));
if (chmin(best, eval)) {
best_s = S;
}
if (__builtin_popcount(S + 1) == 1) {
dbg(make_tuple(best, best_s, S));
}
}
}
vector<pint> generate_seq(const State *s) {
vector<pint> res;
while (s->par) {
res.insert(res.end(), s->par_op.rbegin(), s->par_op.rend());
s = s->par;
}
reverse(ALL(res));
return res;
}
int main(int argc, char *argv[]) {
// experiment();
// int X = 0;
// if (argc >= 2) { X = std::stoi(argv[1]); }
{
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);
}
}
vector<State> states(100000);
states.at(0) = State::gen_root(A, B);
int h = 0;
while (states.at(h).num_steps < MAXT) {
// if (true) {
if (h % 2 != 1 or states.at(h).num_steps < MAXT * 0.5) {
states.at(h + 1) = states.at(h).primer();
} else {
states.at(h + 1) = states.at(h).greedy2();
}
++h;
dbg(make_tuple(states.at(h).num_steps, states.at(h).eval_linf()));
}
const State *goal_state = &states.at(h);
auto sol = generate_seq(goal_state);
dump_onlinejudge(sol.size());
for (auto [i, j] : sol) {
dump_onlinejudge(to_string(i + 1) + " " + to_string(j + 1));
}
const lint cost = goal_state->eval_linf();
const int score = calc_score(cost);
jdump("score", score);
dbg(cost);
dbg(score);
}