結果
| 問題 | No.2339 Factorial Paths |
| ユーザー |
 nok0
|
| 提出日時 | 2023-06-02 23:46:26 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 13 ms / 2,000 ms |
| コード長 | 19,483 bytes |
| コンパイル時間 | 2,597 ms |
| コンパイル使用メモリ | 217,732 KB |
| 最終ジャッジ日時 | 2025-02-13 21:28:16 |
|
ジャッジサーバーID （参考情報） |
judge2 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 20 |
コンパイルメッセージ
/home/nok0/documents/programming/library/template/input.hpp: In function ‘void scanner::scan(char*)’: /home/nok0/documents/programming/library/template/input.hpp:29:33: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
ソースコード
#line 2 "/home/nok0/documents/programming/library/math/osa_k.hpp"
#include <vector>
struct osa_k {
private:
std::vector<int> spf, pr;
public:
osa_k() = default;
osa_k(int MAX) : spf(MAX + 1) {
for(int i = 2; i <= MAX; i++) {
if(spf[i] == 0) {
spf[i] = i;
pr.push_back(i);
}
for(int j = 0; j < pr.size() and pr[j] <= spf[i] and i * pr[j] <= MAX; j++)
spf[i * pr[j]] = pr[j];
}
}
std::vector<std::pair<int, int>> pair_factorize(int n) {
std::vector<std::pair<int, int>> divisor;
if(n == 1) return divisor;
int before = spf[n], cnt = 0;
while(n > 1) {
if(spf[n] == before) {
cnt++;
n /= spf[n];
} else {
divisor.emplace_back(before, cnt);
before = spf[n];
cnt = 1;
n /= spf[n];
}
}
divisor.emplace_back(before, cnt);
return divisor;
}
int smallest_prime_factor(const int n) const {
return spf[n];
}
bool is_prime(const int n) const {
return n == spf[n];
}
};
#line 2 "/home/nok0/documents/programming/library/template/header.hpp"
#include <bits/stdc++.h>
#line 3 "/home/nok0/documents/programming/library/template/def_const.hpp"
const int inf = 1000000000;
const long long INF = 1000000000000000000ll;
#line 4 "/home/nok0/documents/programming/library/template/debug.hpp"
namespace viewer {
void view(const long long &e) {
if(e == INF)
std::cerr << "INF";
else if(e == -INF)
std::cerr << "-INF";
else
std::cerr << e;
}
void view(const int &e) {
if(e == inf)
std::cerr << "inf";
else if(e == -inf)
std::cerr << "-inf";
else
std::cerr << e;
}
template <typename T>
void view(const T &e) {
std::cerr << e;
}
template <typename T, typename U>
void view(const std::pair<T, U> &p) {
std::cerr << "(";
view(p.first);
std::cerr << ", ";
view(p.second);
std::cerr << ")";
}
template <class T0, class T1, class T2>
void view(const std::tuple<T0, T1, T2> &p) {
std::cerr << "(";
view(std::get<0>(p));
std::cerr << ", ";
view(std::get<1>(p));
std::cerr << ", ";
view(std::get<2>(p));
std::cerr << ")";
}
template <class T0, class T1, class T2, class T3>
void view(const std::tuple<T0, T1, T2, T3> &p) {
std::cerr << "(";
view(std::get<0>(p));
std::cerr << ", ";
view(std::get<1>(p));
std::cerr << ", ";
view(std::get<2>(p));
std::cerr << ", ";
view(std::get<3>(p));
std::cerr << ")";
}
template <typename T>
void view(const std::set<T> &s) {
if(s.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(auto &t : s) {
view(t);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T>
void view(const std::unordered_set<T> &s) {
if(s.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(auto &t : s) {
view(t);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T>
void view(const std::multiset<T> &s) {
if(s.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(auto &t : s) {
view(t);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T>
void view(const std::unordered_multiset<T> &s) {
if(s.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(auto &t : s) {
view(t);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T>
void view(const std::vector<T> &v) {
if(v.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(const auto &e : v) {
view(e);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T, std::size_t ary_size>
void view(const std::array<T, ary_size> &v) {
if(v.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << "{ ";
for(const auto &e : v) {
view(e);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <typename T>
void view(const std::vector<std::vector<T>> &vv) {
std::cerr << "{\n";
for(const auto &v : vv) {
std::cerr << "\t";
view(v);
std::cerr << '\n';
}
std::cerr << "}";
}
template <typename T, typename U>
void view(const std::vector<std::pair<T, U>> &v) {
std::cerr << "{\n";
for(const auto &c : v) {
std::cerr << "\t(";
view(c.first);
std::cerr << ", ";
view(c.second);
std::cerr << ")\n";
}
std::cerr << "}";
}
template <class T0, class T1, class T2>
void view(const std::vector<std::tuple<T0, T1, T2>> &v) {
if(v.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << '{';
for(const auto &t : v) {
std::cerr << "\n\t";
view(t);
std::cerr << ",";
}
std::cerr << "\n}";
}
template <class T0, class T1, class T2, class T3>
void view(const std::vector<std::tuple<T0, T1, T2, T3>> &v) {
if(v.empty()) {
std::cerr << "{ }";
return;
}
std::cerr << '{';
for(const auto &t : v) {
std::cerr << "\n\t";
view(t);
std::cerr << ",";
}
std::cerr << "\n}";
}
template <typename T, typename U>
void view(const std::map<T, U> &m) {
std::cerr << "{\n";
for(const auto &t : m) {
std::cerr << "\t[";
view(t.first);
std::cerr << "] : ";
view(t.second);
std::cerr << '\n';
}
std::cerr << "}";
}
template <typename T, typename U>
void view(const std::unordered_map<T, U> &m) {
std::cerr << "{\n";
for(const auto &t : m) {
std::cerr << "\t[";
view(t.first);
std::cerr << "] : ";
view(t.second);
std::cerr << '\n';
}
std::cerr << "}";
}
} // namespace viewer
// when compiling : g++ foo.cpp -DLOCAL
#ifdef LOCAL
void debug_out() {}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
viewer::view(H);
std::cerr << ", ";
debug_out(T...);
}
#define debug(...) \
do { \
std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \
debug_out(__VA_ARGS__); \
std::cerr << "\b\b]\n"; \
} while(0)
#define dump(x) \
do { \
std::cerr << __LINE__ << " " << #x << " : "; \
viewer::view(x); \
std::cerr << '\n'; \
} while(0)
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
#line 3 "/home/nok0/documents/programming/library/template/def_name.hpp"
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define popcnt(x) __builtin_popcountll(x)
template <class T = int>
using V = std::vector<T>;
template <class T = int>
using VV = std::vector<std::vector<T>>;
template <class T>
using pqup = std::priority_queue<T, std::vector<T>, std::greater<T>>;
using ll = long long;
using ld = long double;
using int128 = __int128_t;
using pii = std::pair<int, int>;
using pll = std::pair<long long, long long>;
#line 3 "/home/nok0/documents/programming/library/template/fast_io.hpp"
struct fast_io {
fast_io() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout << std::fixed << std::setprecision(15);
}
} fast_io_;
#line 3 "/home/nok0/documents/programming/library/template/input.hpp"
template<class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template<class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
for (T &i : v) is >> i;
return is;
}
std::istream &operator>>(std::istream &is, __int128_t &a) {
std::string s;
is >> s;
__int128_t ret = 0;
for (int i = 0; i < (int)s.length(); i++)
if ('0' <= s[i] and s[i] <= '9')
ret = 10 * ret + s[i] - '0';
a = ret * (s[0] == '-' ? -1 : 1);
return is;
}
namespace scanner {
void scan(int &a) { std::cin >> a; }
void scan(long long &a) { std::cin >> a; }
void scan(std::string &a) { std::cin >> a; }
void scan(char &a) { std::cin >> a; }
void scan(char a[]) { std::scanf("%s", a); }
void scan(double &a) { std::cin >> a; }
void scan(long double &a) { std::cin >> a; }
template<class T, class U>
void scan(std::pair<T, U> &p) { std::cin >> p; }
template<class T>
void scan(std::vector<T> &a) { std::cin >> a; }
void INPUT() {}
template<class Head, class... Tail>
void INPUT(Head &head, Tail &...tail) {
scan(head);
INPUT(tail...);
}
} // namespace scanner
#define VEC(type, name, size) \
std::vector<type> name(size); \
scanner::INPUT(name)
#define VVEC(type, name, h, w) \
std::vector<std::vector<type>> name(h, std::vector<type>(w)); \
scanner::INPUT(name)
#define INT(...) \
int __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LL(...) \
long long __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define STR(...) \
std::string __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define DOUBLE(...) \
double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LD(...) \
long double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#line 3 "/home/nok0/documents/programming/library/template/math.hpp"
template <class T, class U>
inline bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }
template <class T, class U>
inline bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }
template <class T>
T divup(T x, T y) { return (x + y - 1) / y; }
template <class T>
T POW(T a, long long n) {
T ret = 1;
while(n) {
if(n & 1) ret *= a;
a *= a;
n >>= 1;
}
return ret;
}
long long POW(long long a, long long n, const int mod) {
long long ret = 1;
a = (a % mod + mod) % mod;
while(n) {
if(n & 1) (ret *= a) %= mod;
(a *= a) %= mod;
n >>= 1;
}
return ret;
}
template <class T, class F>
T bin_search(T ok, T ng, const F &f) {
while(abs(ok - ng) > 1) {
T mid = (ok + ng) >> 1;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
template <class T, class F>
T bin_search(T ok, T ng, const F &f, int loop) {
for(int i = 0; i < loop; i++) {
T mid = (ok + ng) / 2;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
#line 3 "/home/nok0/documents/programming/library/template/output.hpp"
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &a) {
for(int i = 0; i < int(a.size()); ++i) {
if(i) os << " ";
os << a[i];
}
return os;
}
std::ostream &operator<<(std::ostream &dest, __int128_t &value) {
std::ostream::sentry s(dest);
if(s) {
__uint128_t tmp = value < 0 ? -value : value;
char buffer[128];
char *d = std::end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while(tmp != 0);
if(value < 0) {
--d;
*d = '-';
}
int len = std::end(buffer) - d;
if(dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(std::ios_base::badbit);
}
}
return dest;
}
template <class T>
void print(const T a) { std::cout << a << '\n'; }
template <class Head, class... Tail>
void print(Head H, Tail... T) {
std::cout << H << ' ';
print(T...);
}
template <class T>
void println(const T a) { std::cout << a << '\n'; }
template <class T>
void println(const std::vector<T> &a) {
for(const auto &v : a)
std::cout << v << '\n';
}
template <class Head, class... Tail>
void println(Head H, Tail... T) {
std::cout << H << '\n';
println(T...);
}
void Yes(const bool b = true) { std::cout << (b ? "Yes\n" : "No\n"); }
void No() { std::cout << "No\n"; }
void YES(const bool b = true) { std::cout << (b ? "YES\n" : "NO\n"); }
void NO() { std::cout << "NO\n"; }
#line 2 "/home/nok0/documents/programming/library/template/rep.hpp"
#define foa(v, a) for (auto &v : a)
#define repname(a, b, c, d, e, ...) e
#define rep(...) repname(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__)
#define rep0(x) for (int rep_counter = 0; rep_counter < (x); ++rep_counter)
#define rep1(i, x) for (int i = 0; i < (x); ++i)
#define rep2(i, l, r) for (int i = (l); i < (r); ++i)
#define rep3(i, l, r, c) for (int i = (l); i < (r); i += (c))
#define repsname(a, b, c, ...) c
#define reps(...) repsname(__VA_ARGS__, reps1, reps0)(__VA_ARGS__)
#define reps0(x) for (int reps_counter = 1; reps_counter <= (x); ++reps_counter)
#define reps1(i, x) for (int i = 1; i <= (x); ++i)
#define rrepname(a, b, c, ...) c
#define rrep(...) rrepname(__VA_ARGS__, rrep1, rrep0)(__VA_ARGS__)
#define rrep0(x) for (int rrep_counter = (x)-1; rrep_counter >= 0; --rrep_counter)
#define rrep1(i, x) for (int i = (x)-1; i >= 0; --i)
#line 3 "/home/nok0/documents/programming/library/template/string_converter.hpp"
struct string_converter {
char start = 0;
char type(const char &c) const { return (islower(c) ? 'a' : isupper(c) ? 'A' :
isdigit(c) ? '0' :
0); }
int convert(const char &c) {
if(!start) start = type(c);
return c - start;
}
int convert(const char &c, const std::string &chars) { return chars.find(c); }
template <typename T>
auto convert(const T &v) {
std::vector<decltype(convert(v[0]))> ret;
ret.reserve(size(v));
for(auto &&e : v) ret.emplace_back(convert(e));
return ret;
}
template <typename T>
auto convert(const T &v, const std::string &chars) {
std::vector<decltype(convert(v[0], chars))> ret;
ret.reserve(size(v));
for(auto &&e : v) ret.emplace_back(convert(e, chars));
return ret;
}
int operator()(const char &v, char s = 0) {
start = s;
return convert(v);
}
int operator()(const char &v, const std::string &chars) { return convert(v, chars); }
template <typename T>
auto operator()(const T &v, char s = 0) {
start = s;
return convert(v);
}
template <typename T>
auto operator()(const T &v, const std::string &chars) { return convert(v, chars); }
} toint;
#line 3 "/home/nok0/documents/programming/library/template/vector.hpp"
template <class T>
int lb(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))); }
template <class T>
int ub(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))); }
template <class T>
void UNIQUE(std::vector<T> &a) {
std::sort(a.begin(), a.end());
a.erase(std::unique(a.begin(), a.end()), a.end());
}
template <class T>
std::vector<T> press(std::vector<T> &a) {
auto res = a;
UNIQUE(res);
for(auto &v : a)
v = lb(res, v);
return res;
}
#define SORTname(a, b, c, ...) c
#define SORT(...) SORTname(__VA_ARGS__, SORT1, SORT0, ...)(__VA_ARGS__)
#define SORT0(a) std::sort((a).begin(), (a).end())
#define SORT1(a, c) std::sort((a).begin(), (a).end(), [](const auto x, const auto y) { return x c y; })
template <class T>
void ADD(std::vector<T> &a, const T x = 1) {
for(auto &v : a) v += x;
}
template <class T>
void SUB(std::vector<T> &a, const T x = 1) {
for(auto &v : a) v -= x;
}
template <class T>
struct cum_vector {
public:
cum_vector() = default;
template <class U>
cum_vector(const std::vector<U> &vec) : cum((int)vec.size() + 1) {
for(int i = 0; i < (int)vec.size(); i++)
cum[i + 1] = cum[i] + vec[i];
}
T prod(int l, int r) {
return cum[r] - cum[l];
}
private:
std::vector<T> cum;
};
std::vector<std::pair<char, int>> rle(const std::string &s) {
const int n = s.size();
std::vector<std::pair<char, int>> ret;
ret.reserve(n);
for(int l = 0; l < n;) {
int r = l + 1;
for(; r < n and s[l] == s[r]; r++) {}
ret.emplace_back(s[l], r - l);
l = r;
}
return ret;
}
template <class T>
std::vector<std::pair<T, int>> rle(const std::vector<T> &v) {
const int n = v.size();
std::vector<std::pair<T, int>> ret;
ret.reserve(n);
for(int l = 0; l < n;) {
int r = l + 1;
for(; r < n and v[l] == v[r]; r++) {}
ret.emplace_back(v[l], r - l);
l = r;
}
return ret;
}
std::vector<int> iota(int n) {
std::vector<int> p(n);
std::iota(p.begin(), p.end(), 0);
return p;
}
#line 12 "/home/nok0/documents/programming/library/template/all"
using namespace std;
#line 3 "f.cpp"
osa_k pf(1000);
void main_();
int main() {
int t = 1;
while(t--) main_();
}
void main_() {
// 縦 h 横 3 のマス binom(h + 1, 2) = (h+1)h / 2
// 縦 h 横 4 のマス binom(h + 2, 3)
// heu- で通るんじゃないか？笑
INT(n);
if(n == 1) {
print(1, 1);
print('.');
return;
}
vector<int> cnt(n + 1);
vector<vector<pii>> dat(n + 1);
reps(i, n) {
auto vec = pf.pair_factorize(i);
dat[i] = vec;
for(auto [key, c] : vec) cnt[key] += c;
}
// 貪欲人間
int now = n;
vector<pii> block;
int x = 0;
//(200!)^2 について
// binom(h, k) を作りたいときは 縦 h-k+2 , 横 k+1 でおｋ
auto slv = [&](auto slv, int x) -> void {
debug(x);
if(x <= 1) return;
// if(x == 3) {
// /*
// ...
// ...
// ...
// */
// block.eb(-3, 3);
// return;
// }
// if(x == 5) {
// block.eb(-6, 6);
// return;
// }
// if(x == 6) {
// block.eb(-8, 8);
// return;
// }
if(x % 2 == 0) {
// binom(x,x/2)
block.eb(x / 2 + 1, x / 2 + 1);
slv(slv, x / 2);
slv(slv, x / 2);
} else {
//(5, 4)
//
block.eb(x / 2 + 2, x / 2 + 1);
slv(slv, x / 2 + 1);
slv(slv, x / 2);
}
};
slv(slv, n);
int h = 0, w = 0;
for(auto &[x, y] : block) {
if(h == 0) {
h += abs(x);
w += abs(y);
} else {
if((h < w) == (abs(x) < abs(y))) {
swap(x, y);
}
h += abs(x) - 1;
w += abs(y) - 1;
}
}
debug(block);
vector<string> ans(h);
rep(i, h) rep(j, w) ans[i].push_back('#');
int sx = 0, sy = 0;
for(auto [x, y] : block) {
if(min(x, y) == -3) {
rep(j, sx, sx + 3) {
rep(k, sy, sy + 3) {
ans[j][k] = '.';
}
}
sx += 2 - 1;
sy += 2 - 1;
continue;
}
if(min(x, y) == -6) {
rep(j, 6) {
rep(k, 6) {
if(j == 0 and k == 4) continue;
if(j == 2 and k == 2) continue;
if(j == 4 and k == 0) continue;
ans[j + sx][k + sy] = '.';
}
}
sx += 6 - 1;
sy += 6 - 1;
continue;
}
if(min(x, y) == -8) {
rep(j, 6) {
rep(k, 6) {
if(j == 0 and k == 4) continue;
if(j == 2 and k == 2) continue;
if(j == 4 and k == 0) continue;
ans[j + sx][k + sy] = '.';
}
}
rep(j, 5, 8) {
rep(k, 5, 8) {
if(j == 7 and k == 5) continue;
if(j == 5 and k == 7) continue;
ans[j + sx][k + sy] = '.';
}
}
sx += 8 - 1;
sy += 8 - 1;
continue;
}
rep(j, sx, sx + x) {
rep(k, sy, sy + y) {
ans[j][k] = '.';
}
}
sx += x - 1;
sy += y - 1;
}
print(h, w);
assert(h <= 2000 and w <= 2000);
foa(v, ans) print(v);
return;
// int h = 0, w = 0;
// for(auto [x, y] : block) {
// int k = x - y + 1;
// int tate = x - k + 1;
// int yoko = k + 1;
// if(h == 0) {
// h += tate;
// w += yoko;
// } else {
// h += tate - 1;
// w += yoko - 1;
// }
// }
// debug(block);
// vector<string> ans(h);
// rep(i, h) rep(j, w) ans[i].push_back('#');
// int sx = 0, sy = 0;
// for(auto [x, y] : block) {
// int k = x - y + 1;
// int tate = x - k + 1;
// int yoko = k + 1;
// rep(j, sx, sx + tate) {
// rep(l, sy, sy + yoko) {
// ans[j][l] = '.';
// }
// }
// sx += tate - 1;
// sy += yoko - 1;
// }
// // binom(n,2) = n (n-1)/2
}