結果

問題 No.2986 Permutation Puzzle
ユーザー noya2
提出日時 2024-12-11 00:49:49
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 145 ms / 2,000 ms
コード長 7,900 bytes
コンパイル時間 4,230 ms
コンパイル使用メモリ 280,588 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-12-11 00:49:56
合計ジャッジ時間 7,125 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 4
other AC * 40
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;
#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
for (auto &x : v) is >> x;
return is;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
template<typename T>
void out(const vector<vector<T>> &vv){
int s = (int)vv.size();
for (int i = 0; i < s; i++) out(vv[i]);
}
struct IoSetup {
IoSetup(){
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetup_noya2;
} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{
const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 = 998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";
void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
#line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{
unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
if (a == 0 || b == 0) return a + b;
int n = __builtin_ctzll(a); a >>= n;
int m = __builtin_ctzll(b); b >>= m;
while (a != b) {
int mm = __builtin_ctzll(a - b);
bool f = a > b;
unsigned long long c = f ? a : b;
b = f ? b : a;
a = (c - b) >> mm;
}
return a << std::min(n, m);
}
template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }
long long sqrt_fast(long long n) {
if (n <= 0) return 0;
long long x = sqrt(n);
while ((x + 1) * (x + 1) <= n) x++;
while (x * x > n) x--;
return x;
}
template<typename T> T floor_div(const T n, const T d) {
assert(d != 0);
return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}
template<typename T> T ceil_div(const T n, const T d) {
assert(d != 0);
return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}
template<typename T> void uniq(std::vector<T> &v){
std::sort(v.begin(),v.end());
v.erase(unique(v.begin(),v.end()),v.end());
}
template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }
} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()
using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
namespace noya2{
/* ~ (. _________ . /) */
}
using namespace noya2;
#line 2 "c.cpp"
int cycle_lcm(vector<int> p){
int n = p.size();
int ret = 1;
vector<bool> done(n,false);
rep(i,n){
if (done[i]) continue;
int cur = i;
int len = 0;
while (!done[cur]){
len++;
done[cur] = true;
cur = p[cur];
}
ret = lcm(ret, len);
}
return ret;
}
void solve(){
int n, k; in(n,k);
auto proc_row = [&](const vector<vector<int>> &a, int i){
vector<vector<int>> b(n);
rep(j,n){
b[a[i][j]] = a[j];
}
return b;
};
auto transpose = [&](const vector<vector<int>> &a){
vector<vector<int>> b(n,vector<int>(n));
rep(i,n) rep(j,n){
b[i][j] = a[j][i];
}
return b;
};
auto proc_col = [&](const vector<vector<int>> &a, int j){
return transpose(proc_row(transpose(a), j));
};
vector<vector<int>> a(n,vector<int>(n)), b(n,vector<int>(n)); in(a,b);
rep(i,n) rep(j,n) --a[i][j], --b[i][j];
vector<pii> ops;
vector<pii> atob;
auto dfs = [&](auto sfs, vector<vector<int>> cur, int t) -> void {
if (!atob.empty()) return ;
if (t == k){
if (cur == b){
atob = ops;
}
return ;
}
rep(i,n){
ops.emplace_back(0,i);
sfs(sfs,proc_row(cur, i), t+1);
ops.pop_back();
if (!atob.empty()) return ;
}
rep(i,n){
ops.emplace_back(1,i);
sfs(sfs,proc_col(cur, i), t+1);
ops.pop_back();
if (!atob.empty()) return ;
}
};
dfs(dfs,a,0);
assert(ssize(atob) == k);
vector<tuple<int,int,int>> atob_key_many;
{
auto aa = a;
// out(aa); out();
for (auto [q, i] : atob){
if (q == 0){
atob_key_many.push_back({q, aa[i][0], cycle_lcm(aa[i])});
aa = proc_row(aa, i);
}
else {
atob_key_many.push_back({q, aa[0][i], cycle_lcm([&]{
vector<int> p(n);
rep(j,n) p[j] = aa[j][i];
return p;
}())});
aa = proc_col(aa, i);
}
// out(aa); out();
}
// out("-------------------");
assert(aa == b);
}
vector<pii> ans;
auto bb = b;
for (auto [q, key, many] : atob_key_many | views::reverse){
// out(many);
if (q == 0){
rep(t,many-1){
int j = [&]{
rep(jj,n){
if (bb[jj][0] == key){
return jj;
}
}
return -1;
}();
assert(j != -1);
ans.emplace_back(q, j);
bb = proc_row(bb, j);
}
}
else {
rep(t,many-1){
int j = [&]{
rep(jj,n){
if (bb[0][jj] == key){
return jj;
}
}
return -1;
}();
assert(j != -1);
ans.emplace_back(q, j);
bb = proc_col(bb, j);
}
}
// out(bb);
// out();
}
// cout << flush;
assert(bb == a);
out(ans.size());
for (auto [q, i] : ans){
out(q == 0 ? 'R' : 'C', i+1);
}
}
int main(){
int t = 1; //in(t);
while (t--) { solve(); }
}
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