oj.uz

Submission #300937

# Submission time Handle Problem Language Result Execution time Memory
300937 2020-09-17T15:21:15 Z Benq Comparing Plants (IOI20_plants) C++14
100 / 100
 2863 ms 90368 KB 
#include "plants.h"
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
using ld = long double;
using db = double; 
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
// ^ 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>; 

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

// vectors
#define sz(x) (int)(x).size()
#define all(x) begin(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 pf push_front 
#define pb push_back
#define eb emplace_back 
#define lb lower_bound 
#define ub upper_bound 

// 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 trav(a,x) for (auto& a: x)

const int MOD = 1e9+7; // 998244353;
const int MX = 1<<19;
const ll INF = 1e18; // not too close to LLONG_MAX
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 

// helper funcs
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
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; }

#define tcTU tcT, class U
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(u); } // element that doesn't exist from (multi)set

// INPUT
#define tcTUU tcT, class ...U
tcT> void re(complex<T>& c);
tcTU> void re(pair<T,U>& p);
tcT> void re(vector<T>& v);
tcT, size_t SZ> void re(AR<T,SZ>& a);

tcT> 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); }
tcTUU> void re(T& t, U&... u) { re(t); re(u...); }

tcT> void re(complex<T>& c) { T a,b; re(a,b); c = {a,b}; }
tcTU> void re(pair<T,U>& p) { re(p.f,p.s); }
tcT> void re(vector<T>& x) { trav(a,x) re(a); }
tcT, size_t SZ> void re(AR<T,SZ>& x) { trav(a,x) re(a); }

// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) { 
	#ifdef LOCAL
		return b ? "true" : "false"; 
	#else 
		return ts((int)b);
	#endif
}
tcT> str ts(complex<T> c) { 
	stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
	str res = "{"; F0R(i,sz(v)) res += char('0'+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; }
tcTU> str ts(pair<T,U> p);
tcT> str ts(T v) { // containers with begin(), end()
	#ifdef LOCAL
		bool fst = 1; str res = "{";
		for (const auto& x: v) {
			if (!fst) res += ", ";
			fst = 0; res += ts(x);
		}
		res += "}"; return res;
	#else
		bool fst = 1; str res = "";
		for (const auto& x: v) {
			if (!fst) res += " ";
			fst = 0; res += ts(x);
		}
		return res;

	#endif
}
tcTU> str ts(pair<T,U> p) {
	#ifdef LOCAL
		return "("+ts(p.f)+", "+ts(p.s)+")"; 
	#else
		return ts(p.f)+" "+ts(p.s);
	#endif
}

// OUTPUT
tcT> void pr(T x) { cout << ts(x); }
tcTUU> void pr(const T& t, const U&... u) { 
	pr(t); pr(u...); }
void ps() { pr("\n"); } // print w/ spaces
tcTUU> void ps(const T& t, const U&... u) { 
	pr(t); if (sizeof...(u)) pr(" "); ps(u...); }

// DEBUG
void DBG() { cerr << "]" << endl; }
tcTUU> void DBG(const T& t, const U&... u) {
	cerr << ts(t); if (sizeof...(u)) cerr << ", ";
	DBG(u...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
	#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
	#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
		 << __FUNCTION__  << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
	#define dbg(...) 0
	#define chk(...) 0
#endif

// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setIO(str 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
}

/**
 * Description: 1D range increment and sum query.
 * Source: USACO Counting Haybales
 * Verification: SPOJ Horrible
 */

template<class T, int SZ> struct LazySeg { 
	static_assert(pct(SZ) == 1); // SZ must be power of 2
	const T ID = MOD; T comb(T a, T b) { return min(a,b); }
	T seg[2*SZ], lazy[2*SZ]; 
	LazySeg() { F0R(i,2*SZ) seg[i] = MOD, lazy[i] = 0; }
	void push(int ind, int L, int R) { /// modify values for current node
		seg[ind] += lazy[ind]; // dependent on operation
		if (L != R) F0R(i,2) lazy[2*ind+i] += lazy[ind]; /// prop to children
		lazy[ind] = 0; 
	} // recalc values for current node
	void pull(int ind) { seg[ind] = comb(seg[2*ind],seg[2*ind+1]); }
	void build() { ROF(i,1,SZ) pull(i); }
	void upd(int lo,int hi,T inc,int ind=1,int L=0, int R=SZ-1) {
		push(ind,L,R); if (hi < L || R < lo) return;
		if (lo <= L && R <= hi) { 
			lazy[ind] = inc; push(ind,L,R); return; }
		int M = (L+R)/2; upd(lo,hi,inc,2*ind,L,M); 
		upd(lo,hi,inc,2*ind+1,M+1,R); pull(ind);
	}
	T query(int lo, int hi, int ind=1, int L=0, int R=SZ-1) {
		push(ind,L,R); if (lo > R || L > hi) return ID;
		if (lo <= L && R <= hi) return seg[ind];
		int M = (L+R)/2; 
		return comb(query(lo,hi,2*ind,L,M),query(lo,hi,2*ind+1,M+1,R));
	}
	int getMin(int ind=1, int L=0, int R=SZ-1) {
		push(ind,L,R); 
		// dbg(ind,L,R,seg[ind]); 
		assert(seg[ind] == 0);
		if (L == R) return L;
		int M = (L+R)/2; 
		push(2*ind,L,M);
		if (seg[2*ind] == 0) return getMin(2*ind,L,M);
		return getMin(2*ind+1,M+1,R);
	}
};

LazySeg<int,MX> L;

int n, k;
int jmp[2][20][MX];
vi val[2];

vi getHeights(vi r) {
	trav(t,r) t = k-1-t;
	F0R(i,n) L.seg[MX+i] = r[i];
	L.build();
	// dbg("BUILT");
	assert(L.seg[1] == 0);
	vi res; set<int> cand, ok; // OK as long 
	auto getPrev = [&](int x) { // x is in the set
		auto it = cand.lb(x); assert(it != end(cand) && *it == x);
		if (it == begin(cand)) it = end(cand);
		return *prev(it);
	};
	auto getNex = [&](int x) { // x is not in the set
		dbg("GETNEX",cand,x);
		auto it = cand.lb(x); 
		assert(it == end(cand) || *it != x);
		if (it == end(cand)) it = begin(cand);
		if (it == end(cand)) return -1;
		return *it;
	};
	auto tryIns = [&](int x) {
		if (x == -1) return;
		assert(cand.count(x));
		if (ok.count(x)) ok.erase(x);
		int y = getPrev(x);
		if (y >= x) y -= n;
		if (x-y >= k) ok.insert(x);
	};
	auto ins = [&](int x) {
		dbg("INS");
		L.upd(x,x,MOD);
		int y = getNex(x); cand.insert(x); 
		tryIns(x), tryIns(y);
	};
	auto rem = [&](int l, int r) {
		ckmax(l,0), ckmin(r,n-1);
		if (l <= r) L.upd(l,r,-1);
	};
	auto del = [&](int x) {
		// dbg("DEL");
		assert(ok.count(x) && cand.count(x));
		int l = x-k+1, r = x-1;
		rem(l,r); rem(l+n,r+n);
		ok.erase(x); cand.erase(x); res.pb(x);
		int y = getNex(x); tryIns(y);
	};
	vi hei(n,-1);
	F0R(_,n) {
		// dbg("DOING",_);
		assert(L.seg[1] >= 0);
		while (L.seg[1] == 0) {
			// dbg("WUT",L.seg[1],L.lazy[1]);
			int x = L.getMin();
			ins(x);
		}
		// dbg(ok);
		assert(sz(ok));
		int x = *begin(ok); del(x);
		// dbg("REMOVING",x);
		hei[x] = _;
	}
	trav(t,hei) assert(t != -1);
	// dbg(hei);
	return hei;
}

void initJump(int ind, vi h) {
	h.insert(end(h),all(h));
	val[ind] = h;
	F0R(i,20) jmp[ind][i][sz(h)] = sz(h);
	map<int,int> cur;
	R0F(i,sz(h)) {
		if (i+1 < sz(h)) cur[h[i+1]] = i+1;
		if (i+k < sz(h)) cur.erase(h[i+k]);
		auto it = cur.lb(h[i]);
		if (it != end(cur)) jmp[ind][0][i] = it->s;
		else jmp[ind][0][i] = sz(h);
		FOR(j,1,20) jmp[ind][j][i] = jmp[ind][j-1][jmp[ind][j-1][i]];
	}
}

void init(int _k, std::vector<int> r) {
	k = _k; n = sz(r);
	vi h = getHeights(r);
	// dbg("OK",h);
	initJump(0,h);
	reverse(all(h));
	initJump(1,h);
}

bool binjump(int ind, int l, int r) {
	if (r < l) r += n;
	// dbg("BINJUMP",ind,l,r,jmp[ind][0][l]);
	R0F(i,20) if (jmp[ind][i][l] <= r) 
		l = jmp[ind][i][l];
	return r-l < k && val[ind][l] <= val[ind][r];
}

bool inc(int x, int y) {
	return binjump(0,x,y) || binjump(1,n-1-x,n-1-y);
}

int compare_plants(int x, int y) {
	if (inc(x,y)) return -1;
	if (inc(y,x)) return 1;
	return 0;
}

Compilation message

plants.cpp: In lambda function:
plants.cpp:178:19: warning: statement has no effect [-Wunused-value]
  178 |  #define dbg(...) 0
      |                   ^
plants.cpp:256:3: note: in expansion of macro 'dbg'
  256 |   dbg("GETNEX",cand,x);
      |   ^~~
plants.cpp: In lambda function:
plants.cpp:178:19: warning: statement has no effect [-Wunused-value]
  178 |  #define dbg(...) 0
      |                   ^
plants.cpp:272:3: note: in expansion of macro 'dbg'
  272 |   dbg("INS");
      |   ^~~
plants.cpp: In function 'void setIn(str)':
plants.cpp:183:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  183 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
      |                     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
plants.cpp: In function 'void setOut(str)':
plants.cpp:184:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  184 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8880 KB Output is correct
5 Correct 7 ms 8832 KB Output is correct
6 Correct 153 ms 11640 KB Output is correct
7 Correct 448 ms 18632 KB Output is correct
8 Correct 1566 ms 81756 KB Output is correct
9 Correct 1737 ms 81684 KB Output is correct
10 Correct 1762 ms 81780 KB Output is correct
11 Correct 1780 ms 81624 KB Output is correct
12 Correct 1905 ms 81636 KB Output is correct
13 Correct 1813 ms 81544 KB Output is correct
14 Correct 1043 ms 81564 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8832 KB Output is correct
5 Correct 8 ms 8960 KB Output is correct
6 Correct 14 ms 9344 KB Output is correct
7 Correct 287 ms 13688 KB Output is correct
8 Correct 10 ms 9088 KB Output is correct
9 Correct 14 ms 9344 KB Output is correct
10 Correct 286 ms 13688 KB Output is correct
11 Correct 417 ms 13560 KB Output is correct
12 Correct 139 ms 13692 KB Output is correct
13 Correct 281 ms 13688 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8832 KB Output is correct
5 Correct 8 ms 8960 KB Output is correct
6 Correct 14 ms 9344 KB Output is correct
7 Correct 287 ms 13688 KB Output is correct
8 Correct 10 ms 9088 KB Output is correct
9 Correct 14 ms 9344 KB Output is correct
10 Correct 286 ms 13688 KB Output is correct
11 Correct 417 ms 13560 KB Output is correct
12 Correct 139 ms 13692 KB Output is correct
13 Correct 281 ms 13688 KB Output is correct
14 Correct 507 ms 18960 KB Output is correct
15 Correct 2859 ms 86580 KB Output is correct
16 Correct 455 ms 18852 KB Output is correct
17 Correct 2849 ms 86840 KB Output is correct
18 Correct 2122 ms 85652 KB Output is correct
19 Correct 1404 ms 85680 KB Output is correct
20 Correct 2633 ms 90368 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8960 KB Output is correct
3 Correct 262 ms 12408 KB Output is correct
4 Correct 1540 ms 81652 KB Output is correct
5 Correct 1688 ms 81728 KB Output is correct
6 Correct 1925 ms 81596 KB Output is correct
7 Correct 2147 ms 81616 KB Output is correct
8 Correct 2748 ms 84980 KB Output is correct
9 Correct 1907 ms 81580 KB Output is correct
10 Correct 1621 ms 81712 KB Output is correct
11 Correct 1726 ms 81620 KB Output is correct
12 Correct 1109 ms 81564 KB Output is correct
13 Correct 2156 ms 83692 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8832 KB Output is correct
5 Correct 9 ms 8832 KB Output is correct
6 Correct 11 ms 9088 KB Output is correct
7 Correct 67 ms 9600 KB Output is correct
8 Correct 45 ms 9720 KB Output is correct
9 Correct 65 ms 9720 KB Output is correct
10 Correct 46 ms 9720 KB Output is correct
11 Correct 64 ms 9600 KB Output is correct
12 Correct 56 ms 9600 KB Output is correct
13 Correct 45 ms 9720 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8832 KB Output is correct
5 Correct 11 ms 9216 KB Output is correct
6 Correct 1688 ms 81908 KB Output is correct
7 Correct 1219 ms 81776 KB Output is correct
8 Correct 1800 ms 81752 KB Output is correct
9 Correct 1899 ms 85396 KB Output is correct
10 Correct 1360 ms 81764 KB Output is correct
11 Correct 1636 ms 84816 KB Output is correct
12 Correct 1035 ms 81688 KB Output is correct
13 Correct 1421 ms 81668 KB Output is correct
14 Correct 1473 ms 81608 KB Output is correct
15 Correct 1479 ms 81628 KB Output is correct
16 Correct 1115 ms 81708 KB Output is correct
17 Correct 1389 ms 81812 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 8832 KB Output is correct
2 Correct 7 ms 8832 KB Output is correct
3 Correct 7 ms 8832 KB Output is correct
4 Correct 7 ms 8880 KB Output is correct
5 Correct 7 ms 8832 KB Output is correct
6 Correct 153 ms 11640 KB Output is correct
7 Correct 448 ms 18632 KB Output is correct
8 Correct 1566 ms 81756 KB Output is correct
9 Correct 1737 ms 81684 KB Output is correct
10 Correct 1762 ms 81780 KB Output is correct
11 Correct 1780 ms 81624 KB Output is correct
12 Correct 1905 ms 81636 KB Output is correct
13 Correct 1813 ms 81544 KB Output is correct
14 Correct 1043 ms 81564 KB Output is correct
15 Correct 7 ms 8832 KB Output is correct
16 Correct 7 ms 8832 KB Output is correct
17 Correct 7 ms 8832 KB Output is correct
18 Correct 7 ms 8832 KB Output is correct
19 Correct 8 ms 8960 KB Output is correct
20 Correct 14 ms 9344 KB Output is correct
21 Correct 287 ms 13688 KB Output is correct
22 Correct 10 ms 9088 KB Output is correct
23 Correct 14 ms 9344 KB Output is correct
24 Correct 286 ms 13688 KB Output is correct
25 Correct 417 ms 13560 KB Output is correct
26 Correct 139 ms 13692 KB Output is correct
27 Correct 281 ms 13688 KB Output is correct
28 Correct 507 ms 18960 KB Output is correct
29 Correct 2859 ms 86580 KB Output is correct
30 Correct 455 ms 18852 KB Output is correct
31 Correct 2849 ms 86840 KB Output is correct
32 Correct 2122 ms 85652 KB Output is correct
33 Correct 1404 ms 85680 KB Output is correct
34 Correct 2633 ms 90368 KB Output is correct
35 Correct 7 ms 8832 KB Output is correct
36 Correct 7 ms 8960 KB Output is correct
37 Correct 262 ms 12408 KB Output is correct
38 Correct 1540 ms 81652 KB Output is correct
39 Correct 1688 ms 81728 KB Output is correct
40 Correct 1925 ms 81596 KB Output is correct
41 Correct 2147 ms 81616 KB Output is correct
42 Correct 2748 ms 84980 KB Output is correct
43 Correct 1907 ms 81580 KB Output is correct
44 Correct 1621 ms 81712 KB Output is correct
45 Correct 1726 ms 81620 KB Output is correct
46 Correct 1109 ms 81564 KB Output is correct
47 Correct 2156 ms 83692 KB Output is correct
48 Correct 7 ms 8832 KB Output is correct
49 Correct 7 ms 8832 KB Output is correct
50 Correct 7 ms 8832 KB Output is correct
51 Correct 7 ms 8832 KB Output is correct
52 Correct 9 ms 8832 KB Output is correct
53 Correct 11 ms 9088 KB Output is correct
54 Correct 67 ms 9600 KB Output is correct
55 Correct 45 ms 9720 KB Output is correct
56 Correct 65 ms 9720 KB Output is correct
57 Correct 46 ms 9720 KB Output is correct
58 Correct 64 ms 9600 KB Output is correct
59 Correct 56 ms 9600 KB Output is correct
60 Correct 45 ms 9720 KB Output is correct
61 Correct 314 ms 12412 KB Output is correct
62 Correct 668 ms 18668 KB Output is correct
63 Correct 2121 ms 81868 KB Output is correct
64 Correct 2166 ms 81580 KB Output is correct
65 Correct 2016 ms 81708 KB Output is correct
66 Correct 2231 ms 81556 KB Output is correct
67 Correct 2863 ms 85096 KB Output is correct
68 Correct 1934 ms 81600 KB Output is correct
69 Correct 2094 ms 84620 KB Output is correct
70 Correct 1725 ms 81676 KB Output is correct
71 Correct 2126 ms 81620 KB Output is correct
72 Correct 2118 ms 81536 KB Output is correct
73 Correct 2465 ms 81652 KB Output is correct
74 Correct 2308 ms 81656 KB Output is correct
75 Correct 1803 ms 81628 KB Output is correct