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Submission #221281

# Submission time Handle Problem Language Result Execution time Memory
221281 2020-04-09T20:00:16 Z rqi Gondola (IOI14_gondola) C++14
100 / 100
 63 ms 6136 KB 
#include "gondola.h"
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef double db; 
typedef string str; 
 
typedef pair<int,int> pi;
typedef pair<ll,ll> pl; 
typedef pair<db,db> pd; 
 
typedef vector<int> vi; 
typedef vector<ll> vl; 
typedef vector<db> vd; 
typedef vector<str> vs; 
typedef vector<pi> vpi;
typedef vector<pl> vpl; 
typedef vector<pd> vpd; 
 
#define mp make_pair 
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() 
#define rsz resize
#define ins insert 
#define ft front() 
#define bk back()
#define pf push_front 
#define pb push_back
#define eb emplace_back 
#define lb lower_bound 
#define ub upper_bound 
 
#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)
 
const int MOD = 1e9+9; // 998244353;
const int MX = 2e5+5; 
const ll INF = 1e18; 
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; 
 
template<class T> bool ckmin(T& a, const T& b) { 
	return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { 
	return a < b ? a = b, 1 : 0; } 
int pct(int x) { return __builtin_popcount(x); } 
int bit(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0 
 
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
 
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
 
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
 
// TO_STRING
#define ts to_string
template<class A, class B> str ts(pair<A,B> p);
template<class A> str ts(complex<A> c) { return ts(mp(c.real(),c.imag())); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(char c) { str s = ""; s += c; return s; }
str ts(str s) { return s; }
str ts(const char* s) { return (str)s; }
str ts(vector<bool> v) { 
	bool fst = 1; str res = "{";
	F0R(i,sz(v)) {
		if (!fst) res += ", ";
		fst = 0; res += ts(v[i]);
	}
	res += "}"; return res;
}
template<size_t SZ> str ts(bitset<SZ> b) {
	str res = ""; F0R(i,SZ) res += char('0'+b[i]);
	return res; }
template<class T> str ts(T v) {
	bool fst = 1; str res = "{";
	for (const auto& x: v) {
		if (!fst) res += ", ";
		fst = 0; res += ts(x);
	}
	res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
	return "("+ts(p.f)+", "+ts(p.s)+")"; }
 
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
	pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
	pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
 
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << to_string(h); if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 42
#endif
 
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
	unsyncIO();
	// cin.exceptions(cin.failbit); 
	// throws exception when do smth illegal
	// ex. try to read letter into int
	if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
 
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 
 
/**
 * Description: modular arithmetic operations 
 * Source: 
	* KACTL
	* https://codeforces.com/blog/entry/63903
	* https://codeforces.com/contest/1261/submission/65632855 (tourist)
	* https://codeforces.com/contest/1264/submission/66344993 (ksun)
 * Verification: 
	* https://open.kattis.com/problems/modulararithmetic
 */

struct mi {
	typedef decay<decltype(MOD)>::type T; 
 	/// don't silently convert to T
	T v; explicit operator T() const { return v; }
	mi() { v = 0; }
	mi(ll _v) { 
		v = (-MOD < _v && _v < MOD) ? _v : _v % MOD;
		if (v < 0) v += MOD;
	}
	friend bool operator==(const mi& a, const mi& b) { 
		return a.v == b.v; }
	friend bool operator!=(const mi& a, const mi& b) { 
		return !(a == b); }
	friend bool operator<(const mi& a, const mi& b) { 
		return a.v < b.v; }
	friend void re(mi& a) { ll x; re(x); a = mi(x); }
	friend str ts(mi a) { return ts(a.v); }
   
	mi& operator+=(const mi& m) { 
		if ((v += m.v) >= MOD) v -= MOD; 
		return *this; }
	mi& operator-=(const mi& m) { 
		if ((v -= m.v) < 0) v += MOD; 
		return *this; }
	mi& operator*=(const mi& m) { 
		v = (ll)v*m.v%MOD; return *this; }
	mi& operator/=(const mi& m) { return (*this) *= inv(m); }
	friend mi pow(mi a, ll p) {
		mi ans = 1; assert(p >= 0);
		for (; p; p /= 2, a *= a) if (p&1) ans *= a;
		return ans;
	}
	friend mi inv(const mi& a) { assert(a.v != 0); 
		return pow(a,MOD-2); }
		
	mi operator-() const { return mi(-v); }
	mi& operator++() { return *this += 1; }
	mi& operator--() { return *this -= 1; }
	friend mi operator+(mi a, const mi& b) { return a += b; }
	friend mi operator-(mi a, const mi& b) { return a -= b; }
	friend mi operator*(mi a, const mi& b) { return a *= b; }
	friend mi operator/(mi a, const mi& b) { return a /= b; }
};
typedef vector<mi> vmi;
typedef pair<mi,mi> pmi;
typedef vector<pmi> vpmi;

vector<vmi> comb;
void genComb(int SZ) {
	comb.assign(SZ,vmi(SZ)); comb[0][0] = 1;
	FOR(i,1,SZ) F0R(j,i+1) 
		comb[i][j] = comb[i-1][j]+(j?comb[i-1][j-1]:0);
}


int valid(int n, int inputSeq[])
{
	set<int> nums;
  for(int i = 0; i < n; i++){
  	nums.insert(inputSeq[i]);
  }
  if(sz(nums) != n) return 0;
  pi val = mp(-1, -1);
  for(int i = 0; i < n; i++){
  	if(inputSeq[i] <= n) val = mp(i, inputSeq[i]);
  }
  if(val == mp(-1, -1)) return 1;

  for(int i = 0; i < n; i++){
  	if(inputSeq[i] > n) continue;
  	if((i-inputSeq[i]+n) % n != (val.f-val.s+n) % n) return 0;
  }

  return 1;
}
 
//----------------------
 

int need[250005];
int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
	for(int i = 0; i < 250005; i++){
		need[i] = -1;
	}
	int startpos = 0;
	pi maxval = mp(n, 0);
	for(int i = 0; i < n; i++){
		if(gondolaSeq[i] <= n){
			startpos = (i-gondolaSeq[i]+n+1) % n;
		}
		else{
			ckmax(maxval, mp(gondolaSeq[i], i));
			need[gondolaSeq[i]] = i;
		}
	}
	for(int i = 0; i < n; i++){
		gondolaSeq[(startpos+i) % n] = i+1;
	}
	for(int i = n+1; i <= maxval.f; i++){
		if(need[i] == -1){
			replacementSeq[i-(n+1)] = gondolaSeq[maxval.s]; 
			gondolaSeq[maxval.s] = i;
		}
		else{
			replacementSeq[i-(n+1)] = gondolaSeq[need[i]];
			gondolaSeq[need[i]] = i;
		}
	}
  return maxval.f-n;
}
 
//----------------------
 
int countReplacement(int n, int inputSeq[])
{
	if(valid(n, inputSeq) == 0){
		return 0;
	}

	int maxval = 0;
	int minval = MOD;
	vi v;
 	for(int i = 0; i < n; i++){
 		ckmax(maxval, inputSeq[i]);
 		ckmin(minval, inputSeq[i]);
 		if(inputSeq[i] > n){
 			v.pb(inputSeq[i]);
 		}
  	}
  	sort(v.rbegin(), v.rend());
  	v.pb(n);

  	mi ans = 1;
  	if(minval >= n+1) ans*=n;

  	for(int i = 0; i < sz(v)-1; i++){
  		ans*=pow(mi(i+1), v[i]-v[i+1]-1);
  	}

  	return int(ans);
}

Compilation message

gondola.cpp: In function 'void setIn(std::__cxx11::string)':
gondola.cpp:124:31: 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); }
                        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
gondola.cpp: In function 'void setOut(std::__cxx11::string)':
gondola.cpp:125:32: 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); }
                         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 17 ms 2304 KB Output is correct
7 Correct 36 ms 3648 KB Output is correct
8 Correct 28 ms 3968 KB Output is correct
9 Correct 12 ms 1536 KB Output is correct
10 Correct 33 ms 4472 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 17 ms 2304 KB Output is correct
7 Correct 36 ms 3704 KB Output is correct
8 Correct 31 ms 3968 KB Output is correct
9 Correct 12 ms 1536 KB Output is correct
10 Correct 32 ms 4600 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 20 ms 2176 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 44 ms 4728 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1280 KB Output is correct
2 Correct 6 ms 1408 KB Output is correct
3 Correct 5 ms 1280 KB Output is correct
4 Correct 5 ms 1280 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1280 KB Output is correct
2 Correct 5 ms 1280 KB Output is correct
3 Correct 5 ms 1280 KB Output is correct
4 Correct 6 ms 1280 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 6 ms 1280 KB Output is correct
8 Correct 6 ms 1408 KB Output is correct
9 Correct 6 ms 1280 KB Output is correct
10 Correct 5 ms 1408 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1280 KB Output is correct
2 Correct 5 ms 1280 KB Output is correct
3 Correct 5 ms 1280 KB Output is correct
4 Correct 5 ms 1280 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1280 KB Output is correct
8 Correct 5 ms 1280 KB Output is correct
9 Correct 5 ms 1280 KB Output is correct
10 Correct 6 ms 1408 KB Output is correct
11 Correct 18 ms 1664 KB Output is correct
12 Correct 18 ms 1664 KB Output is correct
13 Correct 18 ms 2176 KB Output is correct
14 Correct 16 ms 1664 KB Output is correct
15 Correct 24 ms 3192 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 45 ms 4088 KB Output is correct
10 Correct 36 ms 3404 KB Output is correct
11 Correct 16 ms 1408 KB Output is correct
12 Correct 19 ms 1700 KB Output is correct
13 Correct 7 ms 640 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 44 ms 4088 KB Output is correct
10 Correct 50 ms 3448 KB Output is correct
11 Correct 16 ms 1536 KB Output is correct
12 Correct 19 ms 1664 KB Output is correct
13 Correct 7 ms 640 KB Output is correct
14 Correct 55 ms 5368 KB Output is correct
15 Correct 63 ms 6136 KB Output is correct
16 Correct 14 ms 1408 KB Output is correct
17 Correct 42 ms 4216 KB Output is correct
18 Correct 24 ms 2560 KB Output is correct