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답안 #467745

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
467745 2021-08-24T09:49:44 Z pure_mem Dragon 2 (JOI17_dragon2) C++14
100 / 100
 2268 ms 21684 KB 
#include <bits/stdc++.h>
 
#define X first
#define Y second
#define MP make_pair
#define ll long long
 
using namespace std;
 
const int maxN = 7e4 + 12;
const int maxQ = 1e5 + 12;
const int block = 300, INF = 1e9 + 7;
 
typedef pair<ll, ll> Point;
Point origin;
 
struct Fenwick {
	int f[maxN], was[maxN], timer = 0;
	void clear() {
		timer++;
	}
	void upd(int v, int val) {
		assert(v < maxN);
		for(;v < maxN;v |= v + 1) {
			if(was[v] != timer)
				f[v] = 0, was[v] = timer;
			f[v] += val;
	    }
	}
	int get(int v) {
		int res = 0;
		for(;v >= 0;v = (v & (v + 1)) - 1) {
			if(was[v] != timer)
				f[v] = 0, was[v] = timer;
			res += f[v];
		}
		return res;
	}
	int get(int l, int r) {
		if(l > r) {
			return get(maxN - 1) - get(l - 1) + get(r);
		} 
		else {
		    return get(r) - get(l - 1);
		}
	}
} BIT;
 
struct node {
	int s = 0;
	node *l = nullptr, *r = nullptr;	
};
int tree_ptr;
node* tree[maxN];
 
node* upd(node* v, int tl, int tr, int pos, int val) {
	if(tl == tr) 
		return new node {(v ? v->s: 0) + val, nullptr, nullptr};
	int tm = (tl + tr) / 2;
	if(pos <= tm) {	
		return new node {(v ? v->s: 0) + val, upd(v ? v->l: v, tl, tm, pos, val), v ? v->r: v};
	}
	else {
		return new node {(v ? v->s: 0) + val, v ? v->l: v, upd(v ? v->r: v, tm + 1, tr, pos, val)};
	}
}
int get(node* v, int tl, int tr, int l, int r){
	if(!v || tl > r || l > tr)
		return 0;
	if(tl >= l && tr <= r)
		return v->s;
	int tm = (tl + tr) / 2;
	return get(v->l, tl, tm, l, r) + get(v->r, tm + 1, tr, l, r);
}
 
int sign(ll value) {
	if(value > 0) return 1;
	if(value < 0) return -1;
	return 0;
}
 
int half(Point a, Point b) {
	if(a.X != b.X) 
		return a.X < b.X ? 1: -1;
	return a.Y < b.Y ? 1: -1;
}
 
ll cross(Point a, Point b, Point c) {
	a.X -= c.X, b.X -= c.X;
	a.Y -= c.Y, b.Y -= c.Y;
	return a.X * b.Y - a.Y * b.X;
}
 
struct Event {
	int clr, id;
	Point pos;
};
 
bool operator < (const Event &lhs, const Event &rhs) {
	int lhs_h = half(lhs.pos, origin);
	int rhs_h = half(rhs.pos, origin);
	if(lhs_h != rhs_h)
		return lhs_h < rhs_h;
	return cross(lhs.pos, rhs.pos, origin) < 0;
}
 
int n, m, q, tValue[maxN], txValue[maxN];
ll answer[maxQ];
pair< Point, Point > city;
pair< int, int > border[maxN], xBorder[maxN];
vector< pair<int, int> > rQuery[maxN], Query[maxN];
vector< int > gDragon[maxN];
Event dragon[maxN];
 
// border - y, area - x
 
void inputs() {
	memset(answer, -1, sizeof(answer));
	cin >> n >> m;
	for(int i = 1, x, y, clr;i <= n;i++){
		cin >> x >> y >> clr;
	//	x += INF, y += INF;
		dragon[i] = {clr, i, {x, y}};
		dragon[i + n] = {-clr, i, {-x, -y}};		
	}
	cin >> city.X.X >> city.X.Y >> city.Y.X >> city.Y.Y;
	cin >> q;
	for(int i = 1, u, v;i <= q;i++){
		cin >> u >> v;
		Query[u].push_back({v, i});
		rQuery[v].push_back({u, i});
	}
}
 
void normalize() {
	for(int i = 1;i <= n + n;i++) {
		if(dragon[i].clr > 0) {
			dragon[i].pos.X -= origin.X;	
			dragon[i].pos.Y -= origin.Y;
		}	
		else {
		    dragon[i].pos.X += origin.X;	
			dragon[i].pos.Y += origin.Y;
		}
	}
	city.X.X -= origin.X, city.Y.X -= origin.X;
	city.X.Y -= origin.Y, city.Y.Y -= origin.Y;
}
void d_normalize() {
	for(int i = 1;i <= n + n;i++) {
		if(dragon[i].clr > 0) {
			dragon[i].pos.X += origin.X;	
			dragon[i].pos.Y += origin.Y;
		}	
		else {
		    dragon[i].pos.X -= origin.X;	
			dragon[i].pos.Y -= origin.Y;
		}
	}
	city.X.X += origin.X, city.Y.X += origin.X;
	city.X.Y += origin.Y, city.Y.Y += origin.Y;
}
 
void prepare() {
	origin = city.Y;
	auto mem = origin;
	normalize(), origin = MP(0, 0);
	sort(dragon + 1, dragon + n + n + 1);
	for(int i = 1, id;i <= n + n;i++){
		id = dragon[i].id;
		if(dragon[i].clr > 0)
			tValue[id] = i, txValue[i] = id;
		if(border[id].X == 0)	
			border[id].X = i;
		else
			border[id].Y = i;	
	}
	for(int i = 1;i <= n;i++) {
		Event cur = dragon[border[i].X];
		Event rev = dragon[border[i].Y];
		if(cross(cur.pos, rev.pos, city.X) < 0)	
			swap(border[i].X, border[i].Y);
		//cerr << i << ": " << border[i].X << " " << border[i].Y << "\n";
	}
	origin = mem;
	d_normalize();
	
	origin = city.X, mem = origin;
	normalize(), origin = MP(0, 0);
	sort(dragon + 1, dragon + n + n + 1);
	for(int i = 1, id;i <= n + n;i++) {
		gDragon[abs(dragon[i].clr)].push_back(i);
		id = dragon[i].id;
		if(xBorder[id].X == 0)
			xBorder[id].X = i;
		else
			xBorder[id].Y = i;	
	}   /*
	for(int i = 1;i <= n + n;i++) {
		int val = 0;
		if(dragon[i].clr < 0) continue;
		cerr << dragon[i].id << " " << i << "\n";
	}   */
	for(int i = 1;i <= n;i++) {
		const Event& cur = dragon[xBorder[i].X];
		const Event& rev = dragon[xBorder[i].Y];
		if(cross(cur.pos, rev.pos, city.Y) < 0)	
			swap(xBorder[i].X, xBorder[i].Y);
		//cerr << i << ": " << xBorder[i].X << " " << xBorder[i].Y << "\n";
	}
 
 
}
 
void add_interval(pair<int, int> v, int val) {
	if(v.X <= v.Y) {
		BIT.upd(v.X, val);
		BIT.upd(v.Y + 1, -val);
	}
	else {
		BIT.upd(v.X, val);
		BIT.upd(1, val);
		BIT.upd(v.Y + 1, -val);
	}
}
 
ll tAnswer[maxN];
int tDragon[maxN], act[maxN];
void solveHeavy(int atk) {
	BIT.clear();
	int len = gDragon[atk].size();
	for(int i = 1;i <= len;i++)
		tDragon[i] = gDragon[atk][i - 1];
	for(pair<int, int> v: Query[atk]) {
		if(answer[v.Y] != -1) 
			continue;
		for(int i = 0;i < gDragon[v.X].size();i++)
			tDragon[++len] = gDragon[v.X][i];
	}
	sort(tDragon + 1, tDragon + len + 1);
 
	for(int it = 0;it < 2;it++){
    	for(int i = 1;i <= len;i++) {
    		const Event& cur = dragon[tDragon[i]];
    		if(cur.clr < 0 && cur.clr != -atk)
    			continue;	
    		if(abs(cur.clr) != atk) {
    			if(it == 1)
    				tAnswer[cur.clr] += BIT.get(tValue[cur.id]);
    			//cerr << tAnswer[cur.clr] << "\n";
    		//	if(cur.clr == 9 && it == 1)
    		//		cerr << BIT.get(tValue[cur.id]) << "\n";
    		}
    		else if(tDragon[i] == xBorder[cur.id].X) {
  				if(!act[cur.id]) { 
  					act[cur.id] = 1;
  					add_interval(border[cur.id], 1);
    			}	
    		}
    		else {
   				if(act[cur.id]) {
   					act[cur.id] = 0;
   					add_interval(border[cur.id], -1);
   				}
   			}	
    	}
	}
	for(pair<int, int> v: Query[atk]) {
		if(answer[v.Y] != -1) 
			continue;
		answer[v.Y] = tAnswer[v.X];	
	}
	for(int i = 1;i <= len;i++) {
		const Event& cur = dragon[tDragon[i]];
   		act[cur.id] = 0;	
   		tAnswer[abs(cur.clr)] = 0;	
   	}
}
 
int get(int x, int l, int r){
	if(l <= r)
		return get(tree[x], 1, n + n, l, r);
	//cerr << get(tree[x], 1, n + n, l, n + n) << " " << get(tree[x], 1, n + n, 1, r) << " = ";
	return get(tree[x], 1, n + n, l, n + n) + get(tree[x], 1, n + n, 1, r);		
}
 
int get(int xl, int xr, int l, int r) {
//	cerr << xl << " " << xr << " " << l << " " << r << "\n";
	if(xl <= xr)
		return get(xr, l, r) - get(xl - 1, l, r);
	//cerr << "1: " << get(n + n, l, r) << "\n2: " << get(xr - 1, l, r) << "\n3: " << get(xl, l, r) << "\n";
	return get(n + n, l, r) - get(xl - 1, l, r) + get(xr, l, r); 
}
 
void solveHeavyR(int atk) {
	//return; // DEGB
	for(int i = 1;i <= n + n;i++) {
		tree[i] = tree[i - 1];
		int id = dragon[i].id;
		if(dragon[i].clr == atk) {
		//	cerr << i << " " << tValue[id] << "\n";
			tree[i] = upd(tree[i], 1, n + n, tValue[id], 1);
		}	
	}
	for(pair<int, int> v: rQuery[atk]) {
		if(answer[v.Y] != -1)
			continue;
		answer[v.Y] = 0;
		for(int i: gDragon[v.X]) {
			if(dragon[i].clr < 0) continue;
			int id = dragon[i].id;
			int add = get(xBorder[id].X, xBorder[id].Y, border[id].X, border[id].Y);	
			
			answer[v.Y] += add;		
		}
	//	cerr << "was\n";
	} 		
}
 
ll solveLight(int atk, int def) {		
	int lens = gDragon[atk].size() + gDragon[def].size();
	ll res = 0;
	merge(gDragon[atk].begin(), gDragon[atk].end(),
		  gDragon[def].begin(), gDragon[def].end(), tDragon + 1);
	BIT.clear();
	for(int it = 0;it < 2;it++){
    	for(int i = 1;i <= lens;i++) {
    		const Event& cur = dragon[tDragon[i]];
    		if(-cur.clr == def)
    			continue;	
    		if(cur.clr == def) {
    			if(it == 1)
    				res += BIT.get(tValue[cur.id]);
    		//	if(it == 1 && cur.clr == 9)
    		//		cerr << BIT.get(tValue[cur.id]) << "s\n";
    		//	cerr << cur.id << " " << tValue[cur.id] << "gg\n";
    		}
    		else if(tDragon[i] == xBorder[cur.id].X) {
  				if(!act[cur.id]) { 
  					act[cur.id] = 1;
  			//		cerr << cur.id << " " << border[cur.id].X << " " << border[cur.id].Y << "was+\n";
  					add_interval(border[cur.id], 1);
    			}	
    		}
    		else {
   				if(act[cur.id]) {
   					act[cur.id] = 0;
   			//		cerr << cur.id << " " << border[cur.id].X << " " << border[cur.id].Y << "was-\n";
   					add_interval(border[cur.id], -1);
   				}
   			}	
    	}
	}
	for(int i = 1;i <= lens;i++) {
    	const Event& cur = dragon[tDragon[i]];
    	act[cur.id] = 0;
    }
    return res;
}
 
int main () {
	ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	inputs();
	prepare();
 
	vector<int> ord(m);
	for(int i = 0;i < m;i++)
		ord[i] = i + 1;
	sort(ord.begin(), ord.end(), [](int lhs, int rhs){return gDragon[lhs].size() > gDragon[rhs].size();});
	for(int i: ord) {
		if(Query[i].size() >= block)
			solveHeavy(i);
		if(rQuery[i].size() >= block)
			solveHeavyR(i);
	}
	for(int i = 1;i <= m;i++) {
		for(pair<int, int> v: Query[i]) {
			if(answer[v.Y] != -1) 
				continue;
			answer[v.Y] = solveLight(i, v.X);
		}
	} 
	for(int i = 1;i <= q;i++)
		cout << answer[i] << "\n";
}

Compilation message

dragon2.cpp: In function 'void solveHeavy(int)':
dragon2.cpp:237:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  237 |   for(int i = 0;i < gDragon[v.X].size();i++)
      |                 ~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 7884 KB Output is correct
2 Correct 14 ms 7884 KB Output is correct
3 Correct 93 ms 8048 KB Output is correct
4 Correct 174 ms 10324 KB Output is correct
5 Correct 77 ms 10868 KB Output is correct
6 Correct 8 ms 8012 KB Output is correct
7 Correct 8 ms 8012 KB Output is correct
8 Correct 7 ms 7884 KB Output is correct
9 Correct 7 ms 7956 KB Output is correct
10 Correct 8 ms 7884 KB Output is correct

Subtask #2
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 52 ms 9668 KB Output is correct
2 Correct 120 ms 9428 KB Output is correct
3 Correct 57 ms 9616 KB Output is correct
4 Correct 38 ms 9448 KB Output is correct
5 Correct 40 ms 9924 KB Output is correct
6 Correct 36 ms 9652 KB Output is correct
7 Correct 33 ms 9480 KB Output is correct
8 Correct 40 ms 9424 KB Output is correct
9 Correct 37 ms 9480 KB Output is correct
10 Correct 40 ms 9488 KB Output is correct

Subtask #3
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 7884 KB Output is correct
2 Correct 14 ms 7884 KB Output is correct
3 Correct 93 ms 8048 KB Output is correct
4 Correct 174 ms 10324 KB Output is correct
5 Correct 77 ms 10868 KB Output is correct
6 Correct 8 ms 8012 KB Output is correct
7 Correct 8 ms 8012 KB Output is correct
8 Correct 7 ms 7884 KB Output is correct
9 Correct 7 ms 7956 KB Output is correct
10 Correct 8 ms 7884 KB Output is correct
11 Correct 52 ms 9668 KB Output is correct
12 Correct 120 ms 9428 KB Output is correct
13 Correct 57 ms 9616 KB Output is correct
14 Correct 38 ms 9448 KB Output is correct
15 Correct 40 ms 9924 KB Output is correct
16 Correct 36 ms 9652 KB Output is correct
17 Correct 33 ms 9480 KB Output is correct
18 Correct 40 ms 9424 KB Output is correct
19 Correct 37 ms 9480 KB Output is correct
20 Correct 40 ms 9488 KB Output is correct
21 Correct 43 ms 9708 KB Output is correct
22 Correct 118 ms 9560 KB Output is correct
23 Correct 1136 ms 9796 KB Output is correct
24 Correct 1980 ms 12048 KB Output is correct
25 Correct 298 ms 12320 KB Output is correct
26 Correct 180 ms 13016 KB Output is correct
27 Correct 44 ms 10964 KB Output is correct
28 Correct 64 ms 11036 KB Output is correct
29 Correct 167 ms 21628 KB Output is correct
30 Correct 1462 ms 12708 KB Output is correct
31 Correct 141 ms 13068 KB Output is correct
32 Correct 141 ms 13836 KB Output is correct
33 Correct 2268 ms 12840 KB Output is correct
34 Correct 166 ms 13100 KB Output is correct
35 Correct 166 ms 13828 KB Output is correct
36 Correct 171 ms 12848 KB Output is correct
37 Correct 191 ms 13056 KB Output is correct
38 Correct 589 ms 21576 KB Output is correct
39 Correct 1733 ms 16668 KB Output is correct
40 Correct 2173 ms 12856 KB Output is correct
41 Correct 160 ms 21640 KB Output is correct
42 Correct 190 ms 21684 KB Output is correct
43 Correct 183 ms 21520 KB Output is correct
44 Correct 63 ms 10604 KB Output is correct
45 Correct 61 ms 11352 KB Output is correct
46 Correct 65 ms 11332 KB Output is correct
47 Correct 84 ms 18828 KB Output is correct
48 Correct 86 ms 18852 KB Output is correct
49 Correct 82 ms 18880 KB Output is correct