oj.uz

Submission #417317

# Submission time Handle Problem Language Result Execution time Memory
417317 2021-06-03T14:47:57 Z Benq Izvanzemaljci (COI21_izvanzemaljci) C++17
26 / 100
 149 ms 15228 KB 
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!

using pi = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;

using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>; 
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>; 
using vpd = vector<pd>;

#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>; 
tcT, size_t SZ> using AR = array<T,SZ>; 
tcT> using PR = pair<T,T>;

// pairs
#define mp make_pair
#define f first
#define s second

// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend() 
#define sor(x) sort(all(x)) 
#define rsz resize
#define ins insert 
#define ft front()
#define bk back()
#define pb push_back
#define eb emplace_back 
#define pf push_front
#define rtn return

#define lb lower_bound
#define ub upper_bound 
tcT> int lwb(V<T>& a, const T& b) { return int(lb(all(a),b)-bg(a)); }

// loops
#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 rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)

const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;

// bitwise ops
// also see https://gcc.gnu.org/onlinedocs/gcc/Other-Builtins.html
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
constexpr int bits(int x) { // assert(x >= 0); // make C++11 compatible until USACO updates ...
	return x == 0 ? 0 : 31-__builtin_clz(x); } // floor(log2(x)) 
constexpr int p2(int x) { return 1<<x; }
constexpr int msk2(int x) { return p2(x)-1; }

ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down

tcT> bool ckmin(T& a, const T& b) {
	return b < a ? a = b, 1 : 0; } // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
	return a < b ? a = b, 1 : 0; }

tcTU> T fstTrue(T lo, T hi, U f) {
	hi ++; assert(lo <= hi); // assuming f is increasing
	while (lo < hi) { // find first index such that f is true 
		T mid = lo+(hi-lo)/2;
		f(mid) ? hi = mid : lo = mid+1; 
	} 
	return lo;
}
tcTU> T lstTrue(T lo, T hi, U f) {
	lo --; assert(lo <= hi); // assuming f is decreasing
	while (lo < hi) { // find first index such that f is true 
		T mid = lo+(hi-lo+1)/2;
		f(mid) ? lo = mid : hi = mid-1;
	} 
	return lo;
}
tcT> void remDup(vector<T>& v) { // sort and remove duplicates
	sort(all(v)); v.erase(unique(all(v)),end(v)); }
tcTU> void erase(T& t, const U& u) { // don't erase
	auto it = t.find(u); assert(it != end(t));
	t.erase(it); } // element that doesn't exist from (multi)set

#define tcTUU tcT, class ...U

inline namespace Helpers {
	//////////// is_iterable
	// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
	// this gets used only when we can call begin() and end() on that type
	tcT, class = void> struct is_iterable : false_type {};
	tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
	                                  decltype(end(declval<T>()))
	                                 >
	                       > : true_type {};
	tcT> constexpr bool is_iterable_v = is_iterable<T>::value;

	//////////// is_readable
	tcT, class = void> struct is_readable : false_type {};
	tcT> struct is_readable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cin >> declval<T&>()), istream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_readable_v = is_readable<T>::value;

	//////////// is_printable
	// // https://nafe.es/posts/2020-02-29-is-printable/
	tcT, class = void> struct is_printable : false_type {};
	tcT> struct is_printable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cout << declval<T>()), ostream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_printable_v = is_printable<T>::value;
}

inline namespace Input {
	tcT> constexpr bool needs_input_v = !is_readable_v<T> && is_iterable_v<T>;
	tcTUU> void re(T& t, U&... u);
	tcTU> void re(pair<T,U>& p); // pairs

	// re: read
	tcT> typename enable_if<is_readable_v<T>,void>::type re(T& x) { cin >> x; } // default
	tcT> void re(complex<T>& c) { T a,b; re(a,b); c = {a,b}; } // complex
	tcT> typename enable_if<needs_input_v<T>,void>::type re(T& i); // ex. vectors, arrays
	tcTU> void re(pair<T,U>& p) { re(p.f,p.s); }
	tcT> typename enable_if<needs_input_v<T>,void>::type re(T& i) {
		each(x,i) re(x); }
	tcTUU> void re(T& t, U&... u) { re(t); re(u...); } // read multiple

	// rv: resize and read vectors
	void rv(size_t) {}
	tcTUU> void rv(size_t N, V<T>& t, U&... u);
	template<class...U> void rv(size_t, size_t N2, U&... u);
	tcTUU> void rv(size_t N, V<T>& t, U&... u) {
		t.rsz(N); re(t);
		rv(N,u...); }
	template<class...U> void rv(size_t, size_t N2, U&... u) {
		rv(N2,u...); }

	// dumb shortcuts to read in ints
	void decrement() {} // subtract one from each
	tcTUU> void decrement(T& t, U&... u) { --t; decrement(u...); }
	#define ints(...) int __VA_ARGS__; re(__VA_ARGS__);
	#define int1(...) ints(__VA_ARGS__); decrement(__VA_ARGS__);
}

inline namespace ToString {
	tcT> constexpr bool needs_output_v = !is_printable_v<T> && is_iterable_v<T>;

	// ts: string representation to print
	tcT> typename enable_if<is_printable_v<T>,str>::type ts(T v) {
		stringstream ss; ss << fixed << setprecision(15) << v;
		return ss.str(); } // default
	tcT> str bit_vec(T t) { // bit vector to string
		str res = "{"; F0R(i,sz(t)) res += ts(t[i]);
		res += "}"; return res; }
	str ts(V<bool> v) { return bit_vec(v); }
	template<size_t SZ> str ts(bitset<SZ> b) { return bit_vec(b); } // bit vector
	tcTU> str ts(pair<T,U> p); // pairs
	tcT> typename enable_if<needs_output_v<T>,str>::type ts(T v); // vectors, arrays
	tcTU> str ts(pair<T,U> p) { return "("+ts(p.f)+", "+ts(p.s)+")"; }
	tcT> typename enable_if<is_iterable_v<T>,str>::type ts_sep(T v, str sep) {
		// convert container to string w/ separator sep
		bool fst = 1; str res = "";
		for (const auto& x: v) {
			if (!fst) res += sep;
			fst = 0; res += ts(x);
		}
		return res;
	}
	tcT> typename enable_if<needs_output_v<T>,str>::type ts(T v) {
		return "{"+ts_sep(v,", ")+"}"; }

	// for nested DS
	template<int, class T> typename enable_if<!needs_output_v<T>,vs>::type 
	  ts_lev(const T& v) { return {ts(v)}; }
	template<int lev, class T> typename enable_if<needs_output_v<T>,vs>::type 
	  ts_lev(const T& v) {
		if (lev == 0 || !sz(v)) return {ts(v)};
		vs res;
		for (const auto& t: v) {
			if (sz(res)) res.bk += ",";
			vs tmp = ts_lev<lev-1>(t);
			res.ins(end(res),all(tmp));
		}
		F0R(i,sz(res)) {
			str bef = " "; if (i == 0) bef = "{";
			res[i] = bef+res[i];
		}
		res.bk += "}";
		return res;
	}
}

inline namespace Output {
	template<class T> void pr_sep(ostream& os, str, const T& t) { os << ts(t); }
	template<class T, class... U> void pr_sep(ostream& os, str sep, const T& t, const U&... u) {
		pr_sep(os,sep,t); os << sep; pr_sep(os,sep,u...); }
	// print w/ no spaces
	template<class ...T> void pr(const T&... t) { pr_sep(cout,"",t...); } 
	// print w/ spaces, end with newline
	void ps() { cout << "\n"; }
	template<class ...T> void ps(const T&... t) { pr_sep(cout," ",t...); ps(); } 
	// debug to cerr
	template<class ...T> void dbg_out(const T&... t) {
		pr_sep(cerr," | ",t...); cerr << endl; }
	void loc_info(int line, str names) {
		cerr << "Line(" << line << ") -> [" << names << "]: "; }
	template<int lev, class T> void dbgl_out(const T& t) {
		cerr << "\n\n" << ts_sep(ts_lev<lev>(t),"\n") << "\n" << endl; }
	#ifdef LOCAL
		#define dbg(...) loc_info(__LINE__,#__VA_ARGS__), dbg_out(__VA_ARGS__)
		#define dbgl(lev,x) loc_info(__LINE__,#x), dbgl_out<lev>(x)
	#else // don't actually submit with this
		#define dbg(...) 0
		#define dbgl(lev,x) 0
	#endif
}

inline namespace FileIO {
	void setIn(str s)  { freopen(s.c_str(),"r",stdin); }
	void setOut(str s) { freopen(s.c_str(),"w",stdout); }
	void setIO(str s = "") {
		cin.tie(0)->sync_with_stdio(0); // unsync C / C++ I/O streams
		// 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 old USACO
	}
}

int N,K;
vpl points;
pair<ll,V<pair<pl,pl>>> ans;

tcT> void order(T& a, T& b) {
	if (a > b) swap(a,b);
}

const ll BIG = 3e9;

pair<pl,pl> make_square(ll x, ll y, ll len) { // OK
	assert(len > 0);
	assert(abs(x) <= BIG);
	assert(abs(y) <= BIG);
	assert(abs(x+len) <= BIG);
	assert(abs(y+len) <= BIG);
	return {{x,y},{x+len,y+len}};
}

void fail(bool b, bool flag) {
	if (b) {
		exit(flag);
	}
}

pair<ll,V<pair<pl,pl>>> eval(V<pair<pl,pl>> cand) {
	ll len = 0;
	each(t,cand) ckmax(len,abs(t.s.f-t.f.f));
	return {len,cand};
}

void check(V<pair<pl,pl>> cand, bool flag = false) { // OK
	assert(sz(cand) <= K);
	// ll len = 0;
	// each(t,cand) ckmax(len,abs(t.s.f-t.f.f));
	each(t,cand) {
		fail(abs(t.f.f) > BIG,flag);
		fail(abs(t.f.s) > BIG,flag);
		fail(abs(t.s.f) > BIG,flag);
		fail(abs(t.s.s) > BIG,flag);
	}
	int cnt = 0;
	while (sz(cand) < K) {
		if (cnt == 0) {
			cand.pb(make_square(BIG-5,BIG-5,1));
		} else {
			cand.pb(make_square(-BIG+5,-BIG+5,1));
		}
		++cnt;
	}
	each(t,cand) {
		fail(abs(t.f.f) > BIG,flag);
		fail(abs(t.f.s) > BIG,flag);
		fail(abs(t.s.f) > BIG,flag);
		fail(abs(t.s.s) > BIG,flag);
	}
	ckmin(ans,eval(cand));
	// dbg("AH",len,cand,ans.f);
	// if (len < ans.f) ans = {len,cand};
}

using Square = pair<pl,pl>;

vpl rev(vpl v) { // OK
	reverse(all(v));
	return v;
}

vpl neg(vpl v) { // OK
	each(t,v) t.f *= -1;
	return v;
}

V<Square> get_prefs(vpl v) {
	ll xl = v[0].f, xr = v[0].f;
	ll yl = v[0].s, yr = v[0].s;
	V<Square> prefs;
	F0R(i,sz(v)) {
		ckmin(xl,v[i].f), ckmax(xr,v[i].f);
		ckmin(yl,v[i].s), ckmax(yr,v[i].s);
		ll len = max({xr-xl,yr-yl,1LL});
		prefs.pb(make_square(xr-len,yl,len)); // maximize the y-coordinate, minimize the x-coordinate
	}
	return prefs;
}

V<Square> neg(V<Square> v) {// OK, negate x values
	each(t,v) t.f.f *= -1, t.s.f *= -1;
	return v;
}

ll get_len(Square sq) {
	ll dif = sq.s.f-sq.f.f; assert(dif > 0);
	return dif;
}

pair<ll,V<Square>> solve_opt_2(vpl rem) {
	assert(sz(rem));
	sort(all(rem));
	V<Square> pref_square = get_prefs(rem);
	V<Square> suf_square = neg(get_prefs(rev(neg(rem))));
	pair<ll,V<Square>> res = eval({pref_square.bk});
	F0R(i,sz(rem)-1) if (rem.at(i).f < rem.at(i+1).f) 
		ckmin(res,eval({pref_square.at(i),suf_square.at(i+1)}));
	return res;
}

V<Square> swap_xy_sq(V<Square> v) {
	each(t,v) {
		swap(t.f.f,t.f.s);
		swap(t.s.f,t.s.s);
	}
	return v;
}

void solve() {
	sor(points);
	V<Square> pref_square = get_prefs(points);
	V<Square> suf_square = neg(get_prefs(rev(neg(points))));
	{ // K == 1
		check({pref_square.bk});
	}
	if (K >= 2) { // K == 2
		reverse(all(suf_square));
		F0R(i,sz(pref_square)-1) if (points[i].f < points[i+1].f) {
			check({pref_square[i],suf_square[i+1]}, true);
		}
		// dbg("HUH",v);
		// dbg(pref_square);
		// dbg(suf_square);
		// dbg(ans);
	}
	if (K >= 3) {
		vi tri_inds;
		F0R(i,sz(points)-1) if (points.at(i).f < points.at(i+1).f) {
			tri_inds.pb(i);
		}
		// dbg(tri_inds);
		auto check_sol = [&](int ind) -> ll {
			auto swap_xy = [&](pl p) {
				swap(p.f,p.s);
				return p;
			};
			// check distinct y
			vpl rem;
			FOR(i,ind+1,sz(points)) rem.pb(swap_xy(points.at(i)));
			auto ans_y = solve_opt_2(rem);
			ans_y.s = swap_xy_sq(ans_y.s);
			// check distinct x
			ll xl = MOD, xr = -MOD;
			ll yl = MOD, yr = -MOD;
			FOR(i,ind+1,sz(points)-1) {
				ckmin(xl,points.at(i).f); ckmax(xr,points.at(i).f);
				ckmin(yl,points.at(i).s); ckmax(yr,points.at(i).s);
				// dbg("??",i,xl,xr,yl,yr);
				if (points.at(i).f < points.at(i+1).f) {
					ll len = max({xr-xl,yr-yl,1LL});
					ll nxl = max(points.at(ind).f+1,xr-len);
					ll nxr = max(xr,nxl+len); 
					// dbg("INDEX",i,nxl,nxr);
					if (nxr < points.at(i+1).f) {
						// dbg("OO UPDATING",i);
						ckmin(ans_y,eval({make_square(nxl,yl,len),suf_square.at(i+1)}));
					}
				}
			}
			ans_y.s.pb(pref_square.at(ind));
			ans_y = eval(ans_y.s); ckmin(ans,ans_y);
			return ans_y.f;
		};
		int lo = 0, hi = sz(tri_inds)-1;
		// dbg("BOUNDS",points,lo,hi);
		while (lo < hi) {
			int mid = (lo+hi)/2;
			// dbg("TRYING",mid);
			int x = tri_inds.at(mid);
			ll len = check_sol(x);
			// dbg(x,len,get_len(pref_square[x]));
			if (len > get_len(pref_square.at(x))) lo = mid+1;
			else hi = mid-1;
		}
	}
}

tcT> void rot(T& p) {
	p = mp(-p.s,p.f);
	// fassert(abs(p.f) <= BIG && abs(p.s) <= BIG)
}

int main() {
	setIO(); re(N,K);
	points.rsz(N); re(points);
	ans.f = 2*MOD;
	rep(4) {
		solve();
		each(t,points) rot(t);
		each(t,ans.s) rot(t.f), rot(t.s);
	}
	each(t,ans.s) {
		pl a = t.f;
		pl b = t.s;
		order(a.f,b.f);
		order(a.s,b.s);
		assert(b.f-a.f == b.s-a.s);
		assert(abs(a.f) <= BIG);
		assert(abs(a.s) <= BIG);
		ps(a.f,a.s,b.f-a.f);
	}
	// you should actually read the stuff at the bottom
}

/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
	* DON'T GET STUCK ON ONE APPROACH
*/

Compilation message

izvanzemaljci.cpp: In function 'void FileIO::setIn(str)':
izvanzemaljci.cpp:245:30: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  245 |  void setIn(str s)  { freopen(s.c_str(),"r",stdin); }
      |                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
izvanzemaljci.cpp: In function 'void FileIO::setOut(str)':
izvanzemaljci.cpp:246:30: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  246 |  void setOut(str s) { freopen(s.c_str(),"w",stdout); }
      |                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 106 ms 15216 KB Output is correct
8 Correct 98 ms 15208 KB Output is correct
9 Correct 101 ms 15228 KB Output is correct
10 Correct 102 ms 15204 KB Output is correct
11 Correct 100 ms 15208 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 224 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 320 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 143 ms 14344 KB Output is correct
11 Correct 140 ms 14404 KB Output is correct
12 Correct 142 ms 14344 KB Output is correct
13 Correct 140 ms 14456 KB Output is correct
14 Correct 149 ms 14560 KB Output is correct
15 Correct 138 ms 14472 KB Output is correct
16 Correct 141 ms 14660 KB Output is correct
17 Correct 125 ms 13640 KB Output is correct
18 Correct 123 ms 13372 KB Output is correct
19 Correct 116 ms 12596 KB Output is correct
20 Correct 124 ms 13200 KB Output is correct
21 Correct 140 ms 14400 KB Output is correct
22 Correct 139 ms 14428 KB Output is correct
23 Correct 141 ms 14528 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Incorrect 1 ms 204 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Incorrect 7 ms 564 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 560 KB Output isn't correct
2 Halted 0 ms 0 KB -