Submission #203898

#	Time	Username	Problem	Language	Result	Execution time	Memory
203898		rqi	Secret Permutation (RMI19_permutation)	C++14	77.14 / 100	26 ms	376 KiB

permutation

#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
 
#include <bits/stdc++.h>
 #include "permutation.h"
using namespace std;
 
typedef double db;
typedef long long ll;
typedef long double ld;
typedef string str;
 
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef complex<ld> cd;
 
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
 
#define FOR(i,a,b) for (int i = (a); i < (b); i++)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a : x)
 
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
 
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define rsz resize
#define ins insert
 
const int MOD = 1e9+7; // 998244353 = (119<<23)+1
const ll INF = 1e18;
const int MX = 2e5+5;
const ld PI = 4*atan((ld)1);
 
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
 
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
 
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
#define ook order_of_key
#define fbo find_by_order
 
namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);
 
    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class T, class... Ts> void re(T& t, Ts&... ts) { 
        re(t); re(ts...); 
    }
 
    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}
 
using namespace input;
 
namespace output {
    void pr(int x) { cout << x; }
    void pr(long x) { cout << x; }
    void pr(ll x) { cout << x; }
    void pr(unsigned x) { cout << x; }
    void pr(unsigned long x) { cout << x; }
    void pr(unsigned long long x) { cout << x; }
    void pr(float x) { cout << x; }
    void pr(double x) { cout << x; }
    void pr(ld x) { cout << x; }
    void pr(char x) { cout << x; }
    void pr(const char* x) { cout << x; }
    void pr(const string& x) { cout << x; }
    void pr(bool x) { pr(x ? "true" : "false"); }
    template<class T> void pr(const complex<T>& x) { cout << x; }
    
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T> void pr(const T& x);
    
    template<class T, class... Ts> void pr(const T& t, const Ts&... ts) { 
        pr(t); pr(ts...); 
    }
    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void pr(const T& x) { 
        pr("{"); // const iterator needed for vector<bool>
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; 
        pr("}");
    }
    
    void ps() { pr("\n"); } // print w/ spaces
    template<class T, class... Ts> void ps(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(" "); ps(ts...); 
    }
    
    void pc() { pr("]\n"); } // debug w/ commas
    template<class T, class... Ts> void pc(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(", "); pc(ts...); 
    }
    #define dbg(x...) pr("[",#x,"] = ["), pc(x);
}
 
using namespace output;
 
namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        cin.sync_with_stdio(0); cin.tie(0); // fast I/O
        cin.exceptions(cin.failbit); // ex. throws exception when you try to read letter into int
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}
 
using namespace io;
 
template<class T> T invGeneral(T a, T b) {
	a %= b; if (a == 0) return b == 1 ? 0 : -1;
	T x = invGeneral(b,a); 
	return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}
 
template<class T> struct modular {
	T val; 
	explicit operator T() const { return val; }
	modular() { val = 0; }
	modular(const ll& v) { 
		val = (-MOD <= v && v <= MOD) ? v : v % MOD;
		if (val < 0) val += MOD;
	}
	
	// friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
	friend void pr(const modular& a) { pr(a.val); }
	friend void re(modular& a) { ll x; re(x); a = modular(x); }
   
	friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
	friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
	friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }
 
	modular operator-() const { return modular(-val); }
	modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
	modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
	modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
	friend modular pow(modular a, ll p) {
		modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
		return ans;
	}
	friend modular inv(const modular& a) { 
		auto i = invGeneral(a.val,MOD); assert(i != -1);
		return i;
	} // equivalent to return exp(b,MOD-2) if MOD is prime
	modular& operator/=(const modular& m) { return (*this) *= inv(m); }
	
	friend modular operator+(modular a, const modular& b) { return a += b; }
	friend modular operator-(modular a, const modular& b) { return a -= b; }
	friend modular operator*(modular a, const modular& b) { return a *= b; }
	
	friend modular operator/(modular a, const modular& b) { return a /= b; }
};
 
typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

int qnum[300];

int N;
int getdiff(int a, int b){
	vi q(N);
	if(a > b) swap(a, b);
	int ind = 0;
	ll sum = 0;
	for(int i = b-1; i >= a; i--){
		q[ind] = i;
		if(i != a) sum-=qnum[i-1];
		ind++;
	}
	q[ind] = b;
	ind++;
	for(int i = b+1; i <= N; i++){
		q[ind] = i;
		sum-=qnum[i-1];
		ind++;
	}
	for(int i = 1; i <= a-1; i++){
		
		q[ind] = i;
		if(i == 1){
			sum-=qnum[N];
		}
		else{
			sum-=qnum[i-1];
		}
		ind++;
	}
	return query(q)+int(sum);
}
void solve(int _N){
	N = _N;
	vi P(N, 0);
	ll sum = 0;
	for(int i = 1; i <= N; i++){
		vi q(N, 0);
		for(int j = 1; j <= N; j++){
			q[j-1] = (i+j-1)%N+1;
		}
		qnum[i] = query(q);
		sum+=ll(qnum[i]);
	}
	sum/=(N-1);
	for(int i = 1; i <= N; i++){
		qnum[i] = int(sum)-qnum[i];
		//ps(i, qnum[i]);
	}
	P[0] = 0;
	for(int i = 2; i <= N; i++){
		if(i == 2){
			P[i-1] = qnum[1];
			continue;
		}
		map<int, vi> m; //-1, 1, -1, 
		if(P[i-2]-P[i-3] == qnum[i-2]){
			m[P[i-2]-P[i-3]] = {1};
		}
		else m[P[i-2]-P[i-3]] = {-1};
		//ps("m:", i, m);
		int opt;
		for(int j = i; j <= N; j++){
			map<int, vi> m1;
			int num = qnum[j-1];
			bool flag = 0;
			for(auto u: m){
				if (!m1.count(u.f+num) && !m1.count(-u.f-num)) {
					// key no exists
					vi b = u.s;
					b.pb(1);
					m1[u.f+num] = b;
				}
				else{
					flag = 1;
					//ps("HI", i, j);
					break;
				}
				if (!m1.count(u.f-num) && !m1.count(-u.f+num)) {
					// key no exists
					vi b = u.s;
					b.pb(-1);
					m1[u.f-num] = b;
				}
				else{
					flag = 1;
					//ps("HI", i, j);
					break;
				}
			}
			if(flag == 1){
				opt = j-1;
				break;
			}
			if(j == N){
				opt = j;
				swap(m, m1);
				break;
			}
			swap(m1, m);
		}
		int num = getdiff(i-2, opt);
		
		int ind = i-1;
		//ps(i, "m:", m);
		if(!m.count(num)){
			num = -num;
		}
		//ps("getdiff(", i-2, opt, ")", num);
		//ps("BEFORE", P);
		for(auto u: m[num]){
			P[ind-1] = P[ind-2]+u*qnum[ind-1];
			ind++;
		}
		i = opt;
		//ps("AFTER", P);
		//then adds 1 to i
		continue;
	}
	//ps("Panswer: ", P);
	int mn = MOD;
	for(int i = 0; i < N; i++){
		mn = min(mn, P[i]);
	}
	for(int i = 0; i < N; i++){
		P[i] = P[i]-mn;
		P[i]++;
	}
	//ps("answer: ", P);
	answer(P);
}
 
/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?), set tle
	* do smth instead of nothing and stay organized
*/

Compilation message (stderr)

permutation.cpp: In function 'void io::setIn(std::__cxx11::string)':
permutation.cpp:135:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
permutation.cpp: In function 'void io::setOut(std::__cxx11::string)':
permutation.cpp:136:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
permutation.cpp: In function 'void solve(int)':
permutation.cpp:257:7: warning: 'opt' may be used uninitialized in this function [-Wmaybe-uninitialized]
   int opt;
       ^~~
stub.cpp: In function 'int query(int*)':
stub.cpp:15:9: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   fscanf(stdin, "%d", &x);
   ~~~~~~^~~~~~~~~~~~~~~~~
stub.cpp: In function 'int main(int, char**)':
stub.cpp:48:9: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   fscanf(stdin, "%d", &N);
   ~~~~~~^~~~~~~~~~~~~~~~~

• Subtask 1: 11.571435000000001 / 15
• Subtask 2: 27.000015 / 35
• Subtask 3: 38.57145 / 50