oj.uz

Submission #377796

# Submission time Handle Problem Language Result Execution time Memory
377796 2021-03-15T06:58:55 Z ngpin04 도로 건설 사업 (JOI13_construction) C++14
100 / 100
 822 ms 42612 KB 
#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
using namespace std;
const int N = 2e5 + 5;

struct BIT {
	int n;
	vector <long long> bit;

	BIT(int _n) {
		n = _n;
		bit.assign(n + 5, 0);
	}

	void update(int pos, long long val) {
		for (; pos <= n; pos += pos & -pos)
			bit[pos] += val;
	}

	void update(int l, int r, long long val) {
		update(l, val);
		update(r + 1, -val);
	}

	long long getval(int pos) {
		long long res = 0;
		for (; pos > 0; pos -= pos & -pos)
			res += bit[pos];
		return res;
	}
};

struct DisJointSet {
	int n;
	vector <int> par;

	DisJointSet(int _n) {
		n = _n;
		par.assign(n + 5, -1);
	}

	int getpar(int u) {
		return (par[u] < 0) ? u : (par[u] = getpar(par[u]));
	}

	bool join(int u, int v) {
		u = getpar(u);
		v = getpar(v);
		if (u == v)
			return false;
		if (par[u] > par[v])
			swap(u, v);
		par[u] += par[v];
		par[v] = u;
		return true;
	}
};

struct seg {
	int h, l, r;
	seg(){};
	seg(int _h, int _l, int _r) {
		h = _h;
		l = _l;
		r = _r;
	}

	bool operator < (const seg &s) const {
		return h < s.h;
	}
};

vector <int> adj[N];

pair <pair <int, int>, pair <int, int>> rec[N];
pair <int, int> a[N];
pair <int, int> b[N];
vector <pair <int, pair <int, int>>> edge;

long long sum[N];

int val[N];
int n,m,k;

int dis(int i, int j) {
	return abs(a[i].fi - a[j].fi) + abs(a[i].se - a[j].se); 
}

void compress() {
	vector <int> val;

	for (int i = 1; i <= n; i++) 
		val.push_back(a[i].fi);

	for (int i = 1; i <= m; i++) {
		val.push_back(rec[i].fi.fi);
		val.push_back(rec[i].se.fi);
	}

	sort(val.begin(), val.end());
	val.resize(unique(val.begin(), val.end()) - val.begin());

	for (int i = 1; i <= n; i++)
		b[i].fi = lower_bound(val.begin(), val.end(), a[i].fi) - val.begin() + 1;

	for (int i = 1; i <= m; i++) {
		rec[i].fi.fi = lower_bound(val.begin(), val.end(), rec[i].fi.fi) - val.begin() + 1;	
		rec[i].se.fi = lower_bound(val.begin(), val.end(), rec[i].se.fi) - val.begin() + 1;
	}

	val.clear();

	for (int i = 1; i <= n; i++) 
		val.push_back(a[i].se);

	for (int i = 1; i <= m; i++) {
		val.push_back(rec[i].fi.se);
		val.push_back(rec[i].se.se);
	}

	sort(val.begin(), val.end());
	val.resize(unique(val.begin(), val.end()) - val.begin());

	for (int i = 1; i <= n; i++)
		b[i].se = lower_bound(val.begin(), val.end(), a[i].se) - val.begin() + 1;

	for (int i = 1; i <= m; i++) {
		rec[i].fi.se = lower_bound(val.begin(), val.end(), rec[i].fi.se) - val.begin() + 1;	
		rec[i].se.se = lower_bound(val.begin(), val.end(), rec[i].se.se) - val.begin() + 1;
	}
}

void buildgraph() {
	BIT bit(n + 2 * m);

	vector <seg> s;

	for (int i = 1; i <= n; i++)
		s.push_back(seg(b[i].se, -i, b[i].fi));

	for (int i = 1; i <= m; i++) 
		s.push_back(seg(rec[i].se.se, rec[i].fi.fi, rec[i].se.fi));

	sort(s.begin(), s.end());

	for (seg sg : s) {
		// cout << sg.h << " " << sg.l << " " << sg.r << endl;
		int l = sg.l;
		int r = sg.r;
		if (l < 0) {
			int u = -l;
			long long v = bit.getval(r);
			if (v > 0)
				edge.push_back(mp(dis(u, v), mp(u, v)));

			bit.update(r, r, u - v);
		} else 
			bit.update(l, r, -1e9);
	}
	// cout << endl;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	cin >> n >> m >> k;
	for (int i = 1; i <= n; i++)
		cin >> a[i].fi >> a[i].se;

	for (int i = 1; i <= m; i++) 
		cin >> rec[i].fi.fi >> rec[i].fi.se >> rec[i].se.fi >> rec[i].se.se;
	
	compress();
	buildgraph();
	for (int i = 1; i <= n; i++)
		swap(b[i].fi, b[i].se);

	for (int i = 1; i <= m; i++) {
		swap(rec[i].fi.fi, rec[i].fi.se);
		swap(rec[i].se.fi, rec[i].se.se);
	}
	buildgraph();

	int cnt = 0;
	DisJointSet dsu(n);
	
	sort(edge.begin(), edge.end());

	for (pair <int, pair <int, int>> e : edge) {
		int u = e.se.fi;
		int v = e.se.se;
		if (dsu.join(u, v)) {
			val[++cnt] = e.fi;
			 // cerr << u << " " << v << endl;
		}
	}

	for (int i = 1; i <= cnt; i++)
		sum[i] = sum[i - 1] + val[i];

	while (k--) {
		int cost,num;
		cin >> cost >> num;
		if (cnt + num < n) {
			cout << -1 << "\n";
			continue;
		}
		int lo = 0;
		int hi = cnt + 1;
		while (hi - lo > 1) {
			int mid = (lo + hi) >> 1;
			if (val[mid] < cost)
				lo = mid;
			else 
				hi = mid;
		}
		lo = max(lo, n - num);

		cout << (long long) (n - lo) * cost + sum[lo] << "\n";
	}
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 5996 KB Output is correct
2 Correct 232 ms 17656 KB Output is correct
3 Correct 243 ms 17656 KB Output is correct
4 Correct 242 ms 21672 KB Output is correct
5 Correct 258 ms 22012 KB Output is correct
6 Correct 229 ms 17784 KB Output is correct
7 Correct 213 ms 22044 KB Output is correct
8 Correct 196 ms 20472 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 5996 KB Output is correct
2 Correct 232 ms 17656 KB Output is correct
3 Correct 243 ms 17656 KB Output is correct
4 Correct 242 ms 21672 KB Output is correct
5 Correct 258 ms 22012 KB Output is correct
6 Correct 229 ms 17784 KB Output is correct
7 Correct 213 ms 22044 KB Output is correct
8 Correct 196 ms 20472 KB Output is correct
9 Correct 643 ms 27444 KB Output is correct
10 Correct 651 ms 27616 KB Output is correct
11 Correct 622 ms 27464 KB Output is correct
12 Correct 628 ms 27528 KB Output is correct
13 Correct 480 ms 28224 KB Output is correct
14 Correct 253 ms 21900 KB Output is correct
15 Correct 645 ms 27616 KB Output is correct
16 Correct 371 ms 37492 KB Output is correct
17 Correct 388 ms 37492 KB Output is correct
18 Correct 482 ms 28712 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 5996 KB Output is correct
2 Correct 232 ms 17656 KB Output is correct
3 Correct 243 ms 17656 KB Output is correct
4 Correct 242 ms 21672 KB Output is correct
5 Correct 258 ms 22012 KB Output is correct
6 Correct 229 ms 17784 KB Output is correct
7 Correct 213 ms 22044 KB Output is correct
8 Correct 196 ms 20472 KB Output is correct
9 Correct 468 ms 25464 KB Output is correct
10 Correct 469 ms 26212 KB Output is correct
11 Correct 444 ms 22136 KB Output is correct
12 Correct 450 ms 21756 KB Output is correct
13 Correct 450 ms 19448 KB Output is correct
14 Correct 537 ms 28160 KB Output is correct
15 Correct 528 ms 25240 KB Output is correct
16 Correct 461 ms 24628 KB Output is correct
17 Correct 406 ms 22584 KB Output is correct
18 Correct 438 ms 25552 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 5996 KB Output is correct
2 Correct 232 ms 17656 KB Output is correct
3 Correct 243 ms 17656 KB Output is correct
4 Correct 242 ms 21672 KB Output is correct
5 Correct 258 ms 22012 KB Output is correct
6 Correct 229 ms 17784 KB Output is correct
7 Correct 213 ms 22044 KB Output is correct
8 Correct 196 ms 20472 KB Output is correct
9 Correct 643 ms 27444 KB Output is correct
10 Correct 651 ms 27616 KB Output is correct
11 Correct 622 ms 27464 KB Output is correct
12 Correct 628 ms 27528 KB Output is correct
13 Correct 480 ms 28224 KB Output is correct
14 Correct 253 ms 21900 KB Output is correct
15 Correct 645 ms 27616 KB Output is correct
16 Correct 371 ms 37492 KB Output is correct
17 Correct 388 ms 37492 KB Output is correct
18 Correct 482 ms 28712 KB Output is correct
19 Correct 468 ms 25464 KB Output is correct
20 Correct 469 ms 26212 KB Output is correct
21 Correct 444 ms 22136 KB Output is correct
22 Correct 450 ms 21756 KB Output is correct
23 Correct 450 ms 19448 KB Output is correct
24 Correct 537 ms 28160 KB Output is correct
25 Correct 528 ms 25240 KB Output is correct
26 Correct 461 ms 24628 KB Output is correct
27 Correct 406 ms 22584 KB Output is correct
28 Correct 438 ms 25552 KB Output is correct
29 Correct 815 ms 26988 KB Output is correct
30 Correct 561 ms 23108 KB Output is correct
31 Correct 769 ms 27144 KB Output is correct
32 Correct 378 ms 18124 KB Output is correct
33 Correct 797 ms 27144 KB Output is correct
34 Correct 400 ms 16172 KB Output is correct
35 Correct 785 ms 26932 KB Output is correct
36 Correct 822 ms 27012 KB Output is correct
37 Correct 582 ms 42612 KB Output is correct
38 Correct 659 ms 31604 KB Output is correct
39 Correct 444 ms 26168 KB Output is correct