답안 #825270

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
825270 2023-08-14T16:32:36 Z thimote75 식물 비교 (IOI20_plants) C++14
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#include "plants.h"
#include <bits/stdc++.h>
#define int long long

using namespace std;

using idata = vector<int>;
using igrid = vector<idata>;
using iset  = set<int>;
using di    = pair<int, int>;

template<typename A, typename B>
string to_string(pair<A, B> p) {
	return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template<typename T>
string to_string (T x) {
	string S = "[";
	bool first = true;
	for (const auto v : x) {
		if (!first)  S += ", ";
		S += to_string(v);
		first = false;
	}
	S += "]";
	return S;
}
string to_string( string s) {
	return s;
}
string to_string(bool b) {
	return to_string((int) b);
}

void dbg_out () { cout << endl; }
template<typename Head, typename... Tail>
void dbg_out (Head H, Tail... T) {
	cout << to_string(H) << " ";
	dbg_out(T...);
}

#ifdef DEBUG
#  define dbg(...) { cout << "(" << #__VA_ARGS__ << "): "; dbg_out(__VA_ARGS__); }
#else
#  define dbg(...)
#endif

void shift (idata &r, int count) {
	idata h;
	for (int i = count; i < r.size(); i ++)
		h.push_back(r[i]);
	for (int i = 0; i < count; i ++)
		h.push_back(r[i]);
	
	r.swap(h);
}

idata A;

int K, N;

struct SGData {
	int min_value = 1e9;
	int first_sol = 1e9;
	int first_min = 0;
	int  last_min = 0;
	int delta     = 0;

	void merge (SGData &left, SGData &right) {
		min_value = min(left.min_value, right.min_value);

		if (left.min_value == min_value)
			first_min = left.first_min;
		else first_min = right.first_min;

		if (right.min_value == min_value)
			last_min = right.last_min;
		else last_min = left.last_min;

		first_sol = 1e9;
		if ( left.min_value == min_value) first_sol = min(first_sol,  left.first_sol);
		if (right.min_value == min_value) first_sol = min(first_sol, right.first_sol);

		if (left.min_value == min_value
		&& right.min_value == min_value
		&& right.first_min - left.last_min >= K)
			first_sol = min(first_sol, right.first_min);

		min_value += delta;
	}
	void add (int dv) {
		min_value += dv;
		delta     += dv;
	}
	int answer (int N) {
		int e0 = last_min - N;
		int dt = first_min - e0;

		if (dt >= K) return first_min;
		return first_sol;
	}
};
string to_string (SGData data) {
	return "D[[" + to_string(data.first_min) + "; " + to_string(data.last_min) + "], " + to_string(data.min_value) + " " + to_string(data.first_sol) + " " + to_string(data.delta) + "]";
}
struct SegTree {
	vector<SGData> tree;

	int size, start, height;
	SegTree (int _size) {
		size   = _size;
		height = ceil(log2(size));
		start  = 1 << height;

		tree.resize(start << 1);

		for (int i = 0; i < size; i ++) {
			tree[i + start].min_value = 0;
			tree[i + start].first_min = i;
			tree[i + start]. last_min = i;
		}

		for (int i = start - 1; i >= 1; i --)
			tree[i].merge(tree[i * 2], tree[i * 2 + 1]);
	}

	void modify (int i, int value) {
		tree[i].add(value);

		while (i != 1) {
			i >>= 1;

			tree[i].merge(tree[i * 2], tree[i * 2 + 1]);
		}
	}
	void modify (int l, int r, int value) {
		l += start;
		r += start;

		while (l < r) {
			if ((l & 1) == 1) modify(l, value);
			if ((r & 1) == 0) modify(r, value);

			l = (l + 1) >> 1;
			r = (r - 1) >> 1;
		}

		if (l == r) modify(l, value);
	}
	void cmod (int l, int r, int v) {
		if (r < 0) {
			l += size;
			r += size;
		}

		if (l < 0) {
			modify(0, r, v);
			modify(l + size, size - 1, v);
		} else modify(l, r, v);
	}
	int query () {
		return tree[1].answer(size);
	}
};

template<typename T>
struct SegTreeMax {
	vector<T> tree;

	int start, size, height;
	SegTreeMax (int _size, T def) {
		size   = _size;
		height = ceil(log2(size));
		start  = 1 << height;

		tree.resize(start << 1, def);
	}

	void update (int index, T value) {
		index += start;
		tree[index] = value;

		while (index != 1) {
			index >>= 1;

			tree[index] = max(tree[index * 2], tree[index * 2 + 1]);
		}
	}
	T query (int l, int r, T def) {
		dbg(l, r, def);
		l += start;
		r += start;

		while (l < r) {
			if ((l & 1) == 1) def = max(def, tree[l]);
			if ((r & 1) == 0) def = max(def, tree[r]);
		
			l = (l + 1) >> 1;
			r = (r - 1) >> 1;
		}

		if (l == r) def = max(def, tree[l]);
		return def;
	}
	T cquery (int l, int r, T def) {
		if (l < 0)
			return max(query(0, r, def), query(l + size, size - 1, def));
		if (r >= size)
			return max(query(0, r - size, def), query(l, size - 1, def));
		return query(l, r, def);
	}
};

idata lw, rw;
igrid lw2k, rw2k;
igrid ld2k, rd2k;
const int MAXK = 20;

int distance (int a, int b) {
	if (a > b) swap(a, b);

	if (a == -1) return 1e9;

	return min(b - a, N + a - b);
}
void blfi (igrid &g, igrid &d, idata &v) {
	g.resize(v.size(), idata(MAXK, -1));
	d.resize(v.size(), idata(MAXK, 1e9));
	for (int i = 0; i < v.size(); i ++) {
		g[i][0] = v[i];
		d[i][0] = distance(v[i], i);
	}
	
	for (int k = 0; k + 1 < MAXK; k ++) {
		for (int i = 0; i < v.size(); i ++) {
			if (g[i][k] == -1) continue ;

			g[i][k + 1] = g[g[i][k]][k];
			d[i][k + 1] = d[i][k] + d[g[i][k]][k];
		}
	}
}

void init(signed k, vector<signed> r) {
	K = k;

	int n = r.size(); N = n;
 
	A.resize(n);
 
	int s = 0;
 
	SegTree tree(n);
	for (int i = 0; i < n; i ++) tree.modify(i, i, r[i]);
	dbg(tree.tree);
 
	for (int v = n - 1; v >= 0; v --) {
		int p = tree.query();
 
		dbg(p);
 
		tree.modify(p, p, 1e9);
		
		int l = p - k + 1;
		int r = p - 1;
 
		tree.cmod(l, r, -1);
	
		A[p] = v;
		dbg(tree.tree);
	}

	idata AA(N);
	for (int i = 0; i < N; i ++)
		AA[A[i]] = i;

	lw.resize(N, -1);
	rw.resize(N, -1);

	di def = { -1e9, -1 };
	SegTreeMax<di> maxTree(N, def);
 
	for (int i = 0; i < N; i ++) {
		int j = AA[i];
		lw[j] = maxTree.cquery( j - K + 1, j - 1, def ).second;
		rw[j] = maxTree.cquery( j + 1, j - 1 + K, def ).second;

		maxTree.update( j, { i, j } );
	}

	blfi (lw2k, ld2k, lw);
	blfi (rw2k, rd2k, rw);

	return;
}

bool dfs (igrid &V, igrid &D, int s, int t, int dist_max) {
	int ct = 0;

	for (int k = MAXK - 1; k >= 0; k --) {
		if (ct + D[s][k] > dist_max || V[s][k] == -1) continue ;
		dbg(s, t, k, ct, dist_max, V[s][k], D[s][k]);

		ct += D[s][k];
		s   = V[s][k];
	}

	return distance(s, t) < K && A[s] >= A[t];
}
bool dfs (int s, int t) {
	return dfs(lw2k, ld2k, s, t, t > s ? N - t + s : s - t)
	    || dfs(rw2k, rd2k, s, t, t < s ? N - s + t : t - s);
}
 
signed compare_plants(int x, int y) {
	bool hx = dfs(x, y);
	bool hy = dfs(y, x);
	if (hx == hy) return 0;

	if (hx) return 1;
	return -1;
}

Compilation message

plants.cpp: In function 'void shift(idata&, long long int)':
plants.cpp:50:24: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |  for (int i = count; i < r.size(); i ++)
      |                      ~~^~~~~~~~~~
plants.cpp: In function 'void blfi(igrid&, igrid&, idata&)':
plants.cpp:229:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  229 |  for (int i = 0; i < v.size(); i ++) {
      |                  ~~^~~~~~~~~~
plants.cpp:235:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  235 |   for (int i = 0; i < v.size(); i ++) {
      |                   ~~^~~~~~~~~~
plants.cpp: In function 'void init(int, std::vector<int>)':
plants.cpp:251:6: warning: unused variable 's' [-Wunused-variable]
  251 |  int s = 0;
      |      ^
/usr/bin/ld: /tmp/cc0s6uMg.o: in function `main':
grader.cpp:(.text.startup+0x347): undefined reference to `compare_plants(int, int)'
collect2: error: ld returned 1 exit status