結果
| 問題 | No.5016 Worst Mayor |
| ユーザー |
 Jiro_tech15
|
| 提出日時 | 2023-04-29 16:54:26 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 548 ms / 2,000 ms |
| コード長 | 18,638 bytes |
| コンパイル時間 | 3,923 ms |
| コンパイル使用メモリ | 196,612 KB |
| 実行使用メモリ | 118,992 KB |
| スコア | 24,290,278,455 |
| 平均クエリ数 | 400.00 |
| 最終ジャッジ日時 | 2023-04-29 16:57:16 |
| 合計ジャッジ時間 | 33,342 ms |
|
ジャッジサーバーID （参考情報） |
judge12 / judge11 |
| 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 | 544 ms
118,648 KB |
| testcase_01 | AC | 497 ms
118,552 KB |
| testcase_02 | AC | 521 ms
118,684 KB |
| testcase_03 | AC | 500 ms
118,372 KB |
| testcase_04 | AC | 505 ms
118,660 KB |
| testcase_05 | AC | 536 ms
118,792 KB |
| testcase_06 | AC | 500 ms
118,436 KB |
| testcase_07 | AC | 515 ms
118,524 KB |
| testcase_08 | AC | 502 ms
118,680 KB |
| testcase_09 | AC | 516 ms
118,376 KB |
| testcase_10 | AC | 501 ms
118,744 KB |
| testcase_11 | AC | 514 ms
118,792 KB |
| testcase_12 | AC | 509 ms
118,328 KB |
| testcase_13 | AC | 495 ms
118,516 KB |
| testcase_14 | AC | 514 ms
118,812 KB |
| testcase_15 | AC | 501 ms
118,552 KB |
| testcase_16 | AC | 509 ms
118,508 KB |
| testcase_17 | AC | 527 ms
118,740 KB |
| testcase_18 | AC | 513 ms
118,680 KB |
| testcase_19 | AC | 540 ms
118,240 KB |
| testcase_20 | AC | 510 ms
118,456 KB |
| testcase_21 | AC | 503 ms
118,220 KB |
| testcase_22 | AC | 548 ms
118,808 KB |
| testcase_23 | AC | 499 ms
118,664 KB |
| testcase_24 | AC | 523 ms
118,356 KB |
| testcase_25 | AC | 507 ms
118,672 KB |
| testcase_26 | AC | 500 ms
118,744 KB |
| testcase_27 | AC | 538 ms
118,548 KB |
| testcase_28 | AC | 500 ms
118,580 KB |
| testcase_29 | AC | 511 ms
118,188 KB |
| testcase_30 | AC | 494 ms
118,360 KB |
| testcase_31 | AC | 513 ms
118,352 KB |
| testcase_32 | AC | 504 ms
118,684 KB |
| testcase_33 | AC | 503 ms
118,768 KB |
| testcase_34 | AC | 512 ms
118,440 KB |
| testcase_35 | AC | 496 ms
118,992 KB |
| testcase_36 | AC | 516 ms
118,876 KB |
| testcase_37 | AC | 544 ms
118,268 KB |
| testcase_38 | AC | 513 ms
118,240 KB |
| testcase_39 | AC | 498 ms
118,460 KB |
| testcase_40 | AC | 515 ms
118,700 KB |
| testcase_41 | AC | 502 ms
118,372 KB |
| testcase_42 | AC | 512 ms
118,896 KB |
| testcase_43 | AC | 510 ms
118,284 KB |
| testcase_44 | AC | 533 ms
118,572 KB |
| testcase_45 | AC | 527 ms
118,628 KB |
| testcase_46 | AC | 503 ms
118,380 KB |
| testcase_47 | AC | 513 ms
118,812 KB |
| testcase_48 | AC | 503 ms
118,984 KB |
| testcase_49 | AC | 521 ms
118,584 KB |
コンパイルメッセージ
main.cpp: 静的メンバ関数 ‘static void Pos::StaticInit(int)’ 内:
main.cpp:321:24: 警告: ‘dir’ may be used uninitialized [-Wmaybe-uninitialized]
321 | move_to[dir][p] = {adj_x, adj_y};
| ^
main.cpp:308:17: 備考: ‘dir’ はここで宣言されています
308 | Dir dir;
| ^~~
ソースコード
namespace atcoder {}
#ifdef LOCAL
#define dbg(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl;
#else
#define NDEBUG
#define dbg(x) true;
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#ifdef GTEST
#include <gtest/gtest.h>
#endif
#include <math.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#ifdef PERF
#include <gperftools/profiler.h>
#endif
using namespace std;
using namespace atcoder;
#define fast_io \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
#define ll long long int
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define reps(i, n) for (int i = 1; i <= (int)(n); i++)
#define REP(i, n) for (int i = n - 1; i >= 0; i--)
#define REPS(i, n) for (int i = n; i > 0; i--)
#define MOD (long long int)(1e9 + 7)
#define INF (int)(1e9)
#define LINF (long long int)(1e18)
#define chmax(a, b) a = (((a) < (b)) ? (b) : (a))
#define chmin(a, b) a = (((a) > (b)) ? (b) : (a))
#define all(v) v.begin(), v.end()
typedef pair<int, int> Pii;
typedef pair<ll, ll> Pll;
constexpr double PI = acos(-1);
#ifdef NDEBUG
#define CHECK(v1, op, v2)
#else
#define CHECK(v1, op, v2) \
if (!((v1)op(v2))) { \
cerr << "ERROR:" << (v1) << " " << (v2) << endl; \
assert((v1)op(v2)); \
}
#endif
long double nCr(const int n, const int r) {
long double ret = 1;
rep(t, r) {
ret *= (n - t);
ret /= (r - t);
}
return ret;
}
template <typename T>
string to_string(const vector<T>& vec) {
string ret = "";
rep(i, vec.size()) {
ret += vec[i].to_string();
if (i + 1 != vec.size()) {
ret += ",";
}
}
return ret;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& vec) {
os << to_string(vec);
return os;
}
uint32_t xorshift() {
static uint32_t x = 12345789;
static uint32_t y = 362436069;
static uint32_t z = 521288629;
static uint32_t w = 88675123;
uint32_t t;
t = x ^ (x << 11);
x = y;
y = z;
z = w;
w ^= t ^ (t >> 8) ^ (w >> 19);
return w;
}
int rand(const uint32_t l, const uint32_t r) {
return xorshift() % (r - l) + l;
}
uint32_t rand_other_than(const uint32_t l, const uint32_t r,
const uint32_t other) {
const uint32_t num = rand(l, r - 1);
return num + (num >= other);
}
template <typename T>
const T& rand_vec(const vector<T>& vec) {
assert(vec.size() > 0);
return vec[rand(0, vec.size())];
}
template <typename T>
void shuffle(vector<T>& vec) {
rep(l, (int)vec.size() - 1) {
const int idx = rand(l, vec.size());
swap(vec[idx], vec[l]);
}
}
class Timer {
chrono::system_clock::time_point _start, _end;
ll _sum = 0, _count = 0;
public:
void start() { _start = chrono::system_clock::now(); }
void stop() { _end = chrono::system_clock::now(); }
void add() {
const chrono::system_clock::time_point now = chrono::system_clock::now();
_sum += static_cast<double>(
chrono::duration_cast<chrono::nanoseconds>(now - _start).count());
_count++;
}
ll sum() const { return _sum / 1000; }
int count() const { return _count; }
string average() const {
if (_count == 0) {
return "NaN";
}
return to_string(_sum / 1000 / _count);
}
void reset() {
_start = chrono::system_clock::now();
_sum = 0;
_count = 0;
}
inline int ms() const {
const chrono::system_clock::time_point now = chrono::system_clock::now();
return static_cast<double>(
chrono::duration_cast<chrono::microseconds>(now - _start).count() /
1000);
}
inline int ns() const {
const chrono::system_clock::time_point now = chrono::system_clock::now();
return static_cast<double>(
chrono::duration_cast<chrono::microseconds>(now - _start).count());
}
};
#ifdef LOCAL
struct Timers : unordered_map<string, Timer> {
friend ostream& operator<<(ostream& os, const Timers& timers) {
for (const auto& pa : timers) {
os << pa.first << " time: " << pa.second.sum() / 1000
<< " count: " << pa.second.count() << endl;
}
return os;
}
};
#else
struct Timers {
struct Dummy {
void start() const {}
void add() const {}
};
Dummy dummy;
const Dummy& operator[](const std::string& str) { return dummy; }
friend ostream& operator<<(ostream& os, const Timers& timers) { return os; }
};
#endif
Timers global_timers;
/* start */
vector<double> PARAMS = {};
enum Dir {
// y-1, y+1, x-1, x+1
kU,
kD,
kL,
kR
};
struct Pos {
int idx_;
Pos() {}
explicit Pos(const int _idx) : idx_(_idx) {}
Pos(int _x, int _y) : idx_(_y * N + _x) { assert(N > 0); }
int X() const { return pos_2_x[*this]; }
int Y() const { return pos_2_y[*this]; }
int Idx() const { return idx_; }
operator int() const { return Idx(); }
operator size_t() const { return Idx(); }
const vector<Pos>& Adj() const { return adj_poses[*this]; }
const vector<Dir>& AdjDirs() const { return adj_dirs[*this]; }
int Manhattan(const Pos& other) const {
return abs(X() - other.X()) + abs(Y() - other.Y());
}
int Euclid2(const Pos& other) const {
const int dx = X() - other.X();
const int dy = Y() - other.Y();
return dx * dx + dy * dy;
}
bool Move(const Dir dir) {
if (move_to[dir][*this].IsDummy()) {
return false;
} else {
*this = move_to[dir][*this];
return true;
}
}
bool operator<(const Pos& other) const { return this->Idx() < other.Idx(); }
bool operator==(const Pos& other) const { return this->Idx() == other.Idx(); }
bool operator!=(const Pos& other) const { return this->Idx() != other.Idx(); }
friend ostream& operator<<(ostream& os, const Pos& pos) {
os << pos.X() << " " << pos.Y();
return os;
}
bool IsDummy() const { return this->idx_ < 0; }
static Pos Dummy() {
Pos p;
p.idx_ = -1;
return p;
}
static Pos TryCreate(const int x, const int y, const int z) {
if (y < 0 || y >= N || x < 0 || x >= N) {
return Pos::Dummy();
} else {
return Pos(x, y);
}
}
static void StaticInit(const int n) {
N = n;
N2 = N * N;
N4 = N2 * N2;
adj_poses = vector<vector<Pos>>(N2);
adj_dirs = vector<vector<Dir>>(N2);
move_to = vector<vector<Pos>>(4, vector<Pos>(N2, Pos::Dummy()));
pos_2_y.resize(N2);
pos_2_x.resize(N2);
rep(y, N) {
rep(x, N) {
const Pos p{x, y};
pos_2_y[p] = y;
pos_2_x[p] = x;
for (int dy = -1; dy <= 1; ++dy) {
for (int dx = -1; dx <= 1; ++dx) {
if (abs(dy) + abs(dx) != 1) continue;
const int adj_y = y + dy;
const int adj_x = x + dx;
if (adj_y < 0 || adj_y >= N) continue;
if (adj_x < 0 || adj_x >= N) continue;
adj_poses[p].emplace_back(adj_x, adj_y);
Dir dir;
if (dy == -1) {
dir = kU;
} else if (dy == 1) {
dir = kD;
} else if (dx == -1) {
dir = kL;
} else if (dx == 1) {
dir = kR;
} else {
assert(false);
}
move_to[dir][p] = {adj_x, adj_y};
adj_dirs[p].emplace_back(dir);
}
}
}
}
}
static int N, N2, N4;
static vector<vector<Pos>> adj_poses;
static vector<vector<Dir>> adj_dirs;
static vector<vector<Pos>> move_to;
static vector<int> pos_2_x, pos_2_y;
};
vector<vector<Pos>> Pos::adj_poses;
vector<vector<Dir>> Pos::adj_dirs;
vector<vector<Pos>> Pos::move_to;
vector<int> Pos::pos_2_x, Pos::pos_2_y;
int Pos::N, Pos::N2, Pos::N4;
/* start */
int N, T;
vector<Pos> Ss, Gs;
enum ActionKind { kBuild, kHuman, kMoney };
struct Action {
ActionKind kind;
Pos p0, p1;
};
struct Solution {
Solution() {}
static void StaticInit() {}
friend ostream& operator<<(ostream& os, const Solution& sol) { return os; }
};
/* start */
struct Road {
Pos p0, p1;
};
struct ROI {
Pos p0, p1, s, g;
ROI(const Pos& _pa, const Pos& _pb)
: p0(min(_pa.X(), _pb.X()), min(_pa.Y(), _pb.Y())),
p1(max(_pa.X(), _pb.X()), max(_pa.Y(), _pb.Y())),
s(_pa),
g(_pb) {}
};
class Solver {
public:
Solver(istream& _is) : is(_is) {
is >> N >> T;
Pos::StaticInit(14);
Ss.reserve(N);
Gs.reserve(N);
rep(i, N) {
int a, b, c, d;
is >> a >> b >> c >> d;
a--;
b--;
c--;
d--;
Ss.emplace_back(b, a);
Gs.emplace_back(d, c);
}
}
ll Cost(const int v) const {
return (ll)((long double)1e7 / sqrt((long double)v) + 0.01);
}
vector<pair<Road, int>> WarshalOrder() const {
// 初期化
vector<vector<int>> warshal(Pos::N2, vector<int>(Pos::N2, INF));
rep(i, Pos::N2) {
rep(j, Pos::N2) {
const Pos pi(i);
const Pos pj(j);
warshal[pi][pj] = pi.Manhattan(pj) * 1000;
}
}
vector<pair<Road, int>> order;
vector<vector<bool>> exists(30, vector<bool>(30, false));
constexpr int kKosoku = 223;
vector<int> dist2kosoku(14 * 2 * 1000 + 100);
rep(kosoku, 999) {
rep(hutu, 30) {
const int dist = kosoku * kKosoku + hutu * 1000;
if (dist >= (int)dist2kosoku.size()) {
break;
}
assert(dist2kosoku[dist] == 0);
dist2kosoku[dist] = kosoku;
}
}
// TODO: 200調整
rep(t, 100) {
vector<Road> best_roads;
int best_score = 0;
// 各辺を変更した時の高速道路の個数を求める
rep(y, Pos::N) {
rep(x, Pos::N) {
const Pos p0(x, y);
rep(_t, 2) {
Pos p1 = p0;
if (_t == 0) {
if (!p1.Move(kD)) {
continue;
}
} else {
if (!p1.Move(kR)) {
continue;
}
}
if (exists[p0.Y() + p1.Y()][p0.X() + p1.X()]) continue;
// 高速道路片道合計の差分
int diff_count = 0;
rep(i, N) {
const Pos s = Ss[i];
const Pos g = Gs[i];
const auto original_dist = warshal[s][g];
const auto next_dist_0 =
warshal[s][p0] + kKosoku + warshal[p1][g];
const auto next_dist_1 =
warshal[s][p1] + kKosoku + warshal[p0][g];
const auto next_dist = min(next_dist_0, next_dist_1);
if (next_dist < original_dist) {
diff_count +=
dist2kosoku[next_dist] - dist2kosoku[original_dist];
}
}
if (best_score == diff_count) {
best_roads.push_back({p0, p1});
} else if (best_score < diff_count) {
best_score = diff_count;
best_roads.clear();
best_roads.push_back({p0, p1});
}
}
}
}
if (best_score == 0) break;
pair<Road, int> best;
best.first = rand_vec(best_roads);
best.second = best_score;
order.emplace_back(best);
exists[best.first.p0.Y() + best.first.p1.Y()]
[best.first.p0.X() + best.first.p1.X()] = true;
// warshal更新
rep(i, Pos::N2) {
const Pos pi(i);
rep(j, Pos::N2) {
const Pos pj(j);
const auto next_dist_0 =
warshal[pi][best.first.p0] + kKosoku + warshal[best.first.p1][pj];
const auto next_dist_1 =
warshal[pi][best.first.p1] + kKosoku + warshal[best.first.p0][pj];
const auto next_dist = min(next_dist_0, next_dist_1);
chmin(warshal[pi][pj], next_dist);
}
}
}
return order;
}
vector<pair<Road, int>> GreedyOrder() const {
vector<pair<Road, int>> order;
vector<ROI> rois;
vector<vector<bool>> exists(30, vector<bool>(30, false));
// ROI初期化
rep(i, N) { rois.emplace_back(Ss[i], Gs[i]); }
rep(t, T) {
if (order.size() == 13 * 14 * 2) {
break;
}
//各ROIに対してimos
vector<vector<int>> imos(30, vector<int>(30, 0));
for (const auto& roi : rois) {
imos[roi.p0.Y() * 2][roi.p0.X() * 2] += 1;
imos[roi.p0.Y() * 2][roi.p1.X() * 2 + 1] += -1;
imos[roi.p1.Y() * 2 + 1][roi.p0.X() * 2] += -1;
imos[roi.p1.Y() * 2 + 1][roi.p1.X() * 2 + 1] += 1;
}
// imos
rep(y, 30) {
rep(x, 29) { imos[y][x + 1] += imos[y][x]; }
}
rep(x, 30) {
rep(y, 29) { imos[y + 1][x] += imos[y][x]; }
}
// 一番偉い辺
Road best_road;
int best_count = -1;
rep(y, 14) {
rep(x, 14) {
// y+1
if (y + 1 < 14 && !exists[y * 2 + 1][x * 2]) {
const int count = imos[y * 2 + 1][x * 2];
// cerr << count << endl;
if (count > best_count) {
best_count = count;
best_road = Road{Pos{x, y}, Pos{x, y + 1}};
}
}
// x+1
if (x + 1 < 14 && !exists[y * 2][x * 2 + 1]) {
const int count = imos[y * 2][x * 2 + 1];
if (count > best_count) {
best_count = count;
best_road = Road{Pos{x, y}, Pos{x + 1, y}};
}
}
}
}
if (best_count <= 0) break;
order.emplace_back(best_road, best_count);
exists[best_road.p0.Y() + best_road.p1.Y()]
[best_road.p0.X() + best_road.p1.X()] = true;
// roiの更新
vector<ROI> next_rois;
next_rois.reserve(rois.size() * 2);
const auto& p0 = best_road.p0;
const auto& p1 = best_road.p1;
for (const auto& roi : rois) {
// s,gをroadのp0,p1のどちらに対応させるか
// dist + dist + 1 == 元のdist
Pos s = roi.s;
Pos g = roi.g;
if (s.Manhattan(p0) + g.Manhattan(p1) + 1 == s.Manhattan(g)) {
} else if (s.Manhattan(p1) + g.Manhattan(p0) + 1 == s.Manhattan(g)) {
swap(s, g);
} else {
// 通過しない
next_rois.emplace_back(roi);
continue;
}
// s,p0とg,p1が誕生
if (s != p0) {
next_rois.emplace_back(s, p0);
}
if (g != p1) {
next_rois.emplace_back(g, p1);
}
}
rois = std::move(next_rois);
}
return order;
}
Solution Solve(const int time_limit) const {
auto order = WarshalOrder();
// 番兵
order.emplace_back(Road{Pos{0, 0}, Pos{0, 1}}, 0);
vector<ll> ruiseki_counts;
ruiseki_counts.insert(ruiseki_counts.begin(), 0);
rep(i, order.size()) {
ruiseki_counts.emplace_back(ruiseki_counts.back() + order[i].second);
}
// dp[t][v][k] := t時点で協力者v人で次はk番目のorder
constexpr int kMaxV = 200;
vector<vector<ll>> dp(kMaxV + 1, vector<ll>(order.size(), -INF));
using IDX = tuple<int, int, int>;
vector<vector<vector<IDX>>> prevs(
T + 1,
vector<vector<IDX>>(kMaxV + 1, vector<IDX>(order.size(), {0, 0, 0})));
dp[1][0] = 1'000'000;
rep(t, T) {
auto next_dp = dp;
rep(v, kMaxV + 1) {
rep(k, order.size()) {
const IDX current_idx = std::make_tuple(t, v, k);
if (dp[v][k] < 0) continue;
// 建設
if (k + 1 < (int)order.size() && dp[v][k] >= Cost(v)) {
const ll next_val =
dp[v][k] - Cost(v) + (ll)60 * ruiseki_counts[k + 1];
if (next_dp[v][k + 1] < next_val) {
// cerr << next_val << endl;
next_dp[v][k + 1] = next_val;
prevs[t + 1][v][k + 1] = current_idx;
}
}
// 協力者
if (v + 1 <= kMaxV) {
const ll next_val = dp[v][k] + (ll)60 * ruiseki_counts[k];
if (next_dp[v + 1][k] < next_val) {
// cerr << next_val << endl;
next_dp[v + 1][k] = next_val;
prevs[t + 1][v + 1][k] = current_idx;
}
}
// 金
const ll next_val = dp[v][k] + 50'000 + (ll)60 * ruiseki_counts[k];
if (next_dp[v][k] < next_val) {
// cerr << next_val << endl;
next_dp[v][k] = next_val;
prevs[t + 1][v][k] = current_idx;
}
}
}
dp = std::move(next_dp);
}
ll best_money = 0;
tuple<int, int, int> best_idxes;
rep(v, kMaxV + 1) {
rep(k, order.size()) {
if (dp[v][k] > best_money) {
best_money = dp[v][k];
best_idxes = std::make_tuple(T, v, k);
}
}
}
cerr << "best_money: " << best_money << endl;
vector<Action> actions;
{
auto current_idx = best_idxes;
while (std::get<0>(current_idx) != 0) {
const auto [t, v, k] = current_idx;
const auto [prev_t, prev_v, prev_k] = prevs[t][v][k];
if (v == prev_v && k == prev_k) {
actions.push_back({kMoney, Pos::Dummy(), Pos::Dummy()});
} else if (v == prev_v) {
actions.push_back(
{kBuild, order[prev_k].first.p0, order[prev_k].first.p1});
} else {
actions.push_back({kHuman, Pos::Dummy(), Pos::Dummy()});
}
current_idx = prevs[t][v][k];
}
assert((int)actions.size() == T);
reverse(all(actions));
}
rep(t, T) {
ll u, v;
is >> u >> v;
const auto& action = actions[t];
if (action.kind == kBuild) {
cout << 1 << " " << 1 + action.p0.Y() << " " << 1 + action.p0.X() << " "
<< 1 + action.p1.Y() << " " << 1 + action.p1.X() << endl;
} else if (action.kind == kHuman) {
cout << 2 << endl;
} else {
cout << 3 << endl;
}
}
std::quick_exit(0);
return Solution();
}
istream& is;
};
int main(int argc, char* argv[]) {
fast_io;
if (argc >= 2) {
int idx = 0;
for (int i = 1; i < argc; ++i) {
PARAMS[idx++] = std::stod(argv[i]);
}
}
Timer timer;
timer.start();
Solver solver(cin);
auto sol = solver.Solve(1850 - timer.ms());
cout << sol << endl;
return 0;
}