Submission #166245

# Submission time Handle Problem Language Result Execution time Memory
166245 2019-12-01T12:01:31 Z maruii Designated Cities (JOI19_designated_cities) C++14
100 / 100
895 ms 50904 KB
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
using ll = long long;
#define ff first
#define ss second

int N, Q, dfn[200005], dfnn, efn[200005], par[200005];
bool used[200005];
vector<pair<int, pii> > edge[200005];
ll ans[200005], D[200005];

ll dfs1(int x, int p) {
	ll ret = 0;
	for (auto i : edge[x]) {
		if (i.ff == p) continue;
		ret += dfs1(i.ff, x) + i.ss.ff;
	}
	return ret;
}

ll dfs2(int x, int p, ll v) {
	ll ret = v;
	for (auto i : edge[x]) {
		if (i.ff == p) continue;
		ret = min(ret, dfs2(i.ff, x, v - i.ss.ff + i.ss.ss));
	}
	return ret;
}

int dfs3(int x, int p) {
	if (x == p) D[x] = 0;
	dfn[x] = ++dfnn;
	par[x] = p;
	int ret = x;
	for (auto i : edge[x]) {
		if (i.ff == p) continue;
		D[i.ff] = D[x] + i.ss.ff;
		int t = dfs3(i.ff, x);
		if (D[ret] < D[t]) ret = t;
	}
	efn[x] = dfnn;
	return ret;
}

const int SIZE = 1 << 18;
struct ST {
	struct Node {
		pair<ll, int> v;
		ll l;
	} A[2 * SIZE];
	void init() {
		for (int i = 1; i <= N; ++i) A[dfn[i] + SIZE].v = {D[i], i};
		for (int i = SIZE - 1; i; --i) A[i].v = max(A[i << 1].v, A[i << 1 | 1].v);
	}
	void busy(int nn) {
		A[nn << 1].v.ff += A[nn].l;
		A[nn << 1].l += A[nn].l;
		A[nn << 1 | 1].v.ff += A[nn].l;
		A[nn << 1 | 1].l += A[nn].l;
		A[nn].l = 0;
	}
	void update(int nn, int ns, int ne, int s, int e, int v) {
		if (ns > e || ne < s) return;
		if (s <= ns && ne <= e) { A[nn].v.ff += v;
			A[nn].l += v;
			return;
		}
		int m = ns + ne >> 1;
		busy(nn);
		update(nn << 1, ns, m, s, e, v);
		update(nn << 1 | 1, m + 1, ne, s, e, v);
		A[nn].v = max(A[nn << 1].v, A[nn << 1 | 1].v);
	}
	pair<ll, int> query(int nn, int ns, int ne, int s, int e) {
		if (ns > e || ne < s) return {0, 0};
		if (s <= ns && ne <= e) return A[nn].v;
		busy(nn);
		int m = ns + ne >> 1;
		return max(query(nn << 1, ns, m, s, e), query(nn << 1 | 1, m + 1, ne, s, e));
	}
	void update(int s, int e, int v) { update(1, 0, SIZE - 1, s, e, v); }
	pair<ll, int> query(int s, int e) { return query(1, 0, SIZE - 1, s, e); }
} seg;

int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> N;
	for (int i = 1; i < N; ++i) {
		int a, b, c, d; cin >> a >> b >> c >> d;
		edge[a].emplace_back(b, pii(c, d));
		edge[b].emplace_back(a, pii(d, c));
	}
	ans[0] = dfs2(1, 1, dfs1(1, 1));
	int X = dfs3(1, 1);
	used[X] = 1;
	dfnn = 0;
	dfs3(X, X);
	ans[1] = dfs1(X, X);
	seg.init();

	vector<int> vec;
	for (int i = 2; i <= N; ++i) {
		auto t = seg.query(1, dfnn);
		if (t.ff == 0) {
			while (i <= N) ans[i++] = ans[i - 1];
			break;
		}
		ans[i] = ans[i - 1] - t.ff;
		for (int x = t.ss; !used[x]; x = par[x]) vec.push_back(x);
		while (vec.size()) {
			int a = vec.back(); vec.pop_back();
			used[a] = 1;
			seg.update(dfn[a], efn[a], D[par[a]] - D[a]);
		}
	}

	cin >> Q;
	while (Q--) {
		int x; cin >> x;
		if (x == 1) x--;
		printf("%lld\n", ans[x]);
	}
	return 0;
}

Compilation message

designated_cities.cpp: In member function 'void ST::update(int, int, int, int, int, int)':
designated_cities.cpp:69:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   int m = ns + ne >> 1;
           ~~~^~~~
designated_cities.cpp: In member function 'std::pair<long long int, int> ST::query(int, int, int, int, int)':
designated_cities.cpp:79:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   int m = ns + ne >> 1;
           ~~~^~~~
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:106:24: warning: operation on 'i' may be undefined [-Wsequence-point]
    while (i <= N) ans[i++] = ans[i - 1];
                       ~^~
# Verdict Execution time Memory Grader output
1 Correct 19 ms 17400 KB Output is correct
2 Correct 19 ms 17400 KB Output is correct
3 Correct 19 ms 17400 KB Output is correct
4 Correct 18 ms 17272 KB Output is correct
5 Correct 18 ms 17400 KB Output is correct
6 Correct 18 ms 17400 KB Output is correct
7 Correct 21 ms 17528 KB Output is correct
8 Correct 18 ms 17404 KB Output is correct
9 Correct 18 ms 17400 KB Output is correct
10 Correct 20 ms 17332 KB Output is correct
11 Correct 18 ms 17400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 17400 KB Output is correct
2 Correct 571 ms 37736 KB Output is correct
3 Correct 666 ms 49180 KB Output is correct
4 Correct 535 ms 36344 KB Output is correct
5 Correct 564 ms 37648 KB Output is correct
6 Correct 609 ms 39544 KB Output is correct
7 Correct 499 ms 37552 KB Output is correct
8 Correct 688 ms 48700 KB Output is correct
9 Correct 458 ms 38332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 17400 KB Output is correct
2 Correct 582 ms 37800 KB Output is correct
3 Correct 669 ms 49152 KB Output is correct
4 Correct 555 ms 36352 KB Output is correct
5 Correct 596 ms 37600 KB Output is correct
6 Correct 586 ms 39928 KB Output is correct
7 Correct 483 ms 37804 KB Output is correct
8 Correct 623 ms 45852 KB Output is correct
9 Correct 482 ms 37740 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 17400 KB Output is correct
2 Correct 19 ms 17400 KB Output is correct
3 Correct 19 ms 17400 KB Output is correct
4 Correct 18 ms 17272 KB Output is correct
5 Correct 18 ms 17400 KB Output is correct
6 Correct 18 ms 17400 KB Output is correct
7 Correct 21 ms 17528 KB Output is correct
8 Correct 18 ms 17404 KB Output is correct
9 Correct 18 ms 17400 KB Output is correct
10 Correct 20 ms 17332 KB Output is correct
11 Correct 18 ms 17400 KB Output is correct
12 Correct 19 ms 17400 KB Output is correct
13 Correct 21 ms 17684 KB Output is correct
14 Correct 23 ms 17656 KB Output is correct
15 Correct 21 ms 17656 KB Output is correct
16 Correct 22 ms 17656 KB Output is correct
17 Correct 21 ms 17540 KB Output is correct
18 Correct 22 ms 17656 KB Output is correct
19 Correct 22 ms 17592 KB Output is correct
20 Correct 22 ms 17656 KB Output is correct
21 Correct 24 ms 17656 KB Output is correct
22 Correct 23 ms 17656 KB Output is correct
23 Correct 22 ms 17656 KB Output is correct
24 Correct 22 ms 17656 KB Output is correct
25 Correct 22 ms 17656 KB Output is correct
26 Correct 24 ms 17656 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 17400 KB Output is correct
2 Correct 571 ms 37736 KB Output is correct
3 Correct 666 ms 49180 KB Output is correct
4 Correct 535 ms 36344 KB Output is correct
5 Correct 564 ms 37648 KB Output is correct
6 Correct 609 ms 39544 KB Output is correct
7 Correct 499 ms 37552 KB Output is correct
8 Correct 688 ms 48700 KB Output is correct
9 Correct 458 ms 38332 KB Output is correct
10 Correct 19 ms 17400 KB Output is correct
11 Correct 582 ms 37800 KB Output is correct
12 Correct 669 ms 49152 KB Output is correct
13 Correct 555 ms 36352 KB Output is correct
14 Correct 596 ms 37600 KB Output is correct
15 Correct 586 ms 39928 KB Output is correct
16 Correct 483 ms 37804 KB Output is correct
17 Correct 623 ms 45852 KB Output is correct
18 Correct 482 ms 37740 KB Output is correct
19 Correct 19 ms 17400 KB Output is correct
20 Correct 657 ms 37752 KB Output is correct
21 Correct 664 ms 49120 KB Output is correct
22 Correct 562 ms 36376 KB Output is correct
23 Correct 610 ms 37752 KB Output is correct
24 Correct 590 ms 36528 KB Output is correct
25 Correct 584 ms 37756 KB Output is correct
26 Correct 597 ms 36612 KB Output is correct
27 Correct 637 ms 37556 KB Output is correct
28 Correct 605 ms 39760 KB Output is correct
29 Correct 575 ms 37752 KB Output is correct
30 Correct 530 ms 36880 KB Output is correct
31 Correct 478 ms 37672 KB Output is correct
32 Correct 701 ms 46104 KB Output is correct
33 Correct 470 ms 38308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 17400 KB Output is correct
2 Correct 19 ms 17400 KB Output is correct
3 Correct 19 ms 17400 KB Output is correct
4 Correct 18 ms 17272 KB Output is correct
5 Correct 18 ms 17400 KB Output is correct
6 Correct 18 ms 17400 KB Output is correct
7 Correct 21 ms 17528 KB Output is correct
8 Correct 18 ms 17404 KB Output is correct
9 Correct 18 ms 17400 KB Output is correct
10 Correct 20 ms 17332 KB Output is correct
11 Correct 18 ms 17400 KB Output is correct
12 Correct 18 ms 17400 KB Output is correct
13 Correct 571 ms 37736 KB Output is correct
14 Correct 666 ms 49180 KB Output is correct
15 Correct 535 ms 36344 KB Output is correct
16 Correct 564 ms 37648 KB Output is correct
17 Correct 609 ms 39544 KB Output is correct
18 Correct 499 ms 37552 KB Output is correct
19 Correct 688 ms 48700 KB Output is correct
20 Correct 458 ms 38332 KB Output is correct
21 Correct 19 ms 17400 KB Output is correct
22 Correct 582 ms 37800 KB Output is correct
23 Correct 669 ms 49152 KB Output is correct
24 Correct 555 ms 36352 KB Output is correct
25 Correct 596 ms 37600 KB Output is correct
26 Correct 586 ms 39928 KB Output is correct
27 Correct 483 ms 37804 KB Output is correct
28 Correct 623 ms 45852 KB Output is correct
29 Correct 482 ms 37740 KB Output is correct
30 Correct 19 ms 17400 KB Output is correct
31 Correct 21 ms 17684 KB Output is correct
32 Correct 23 ms 17656 KB Output is correct
33 Correct 21 ms 17656 KB Output is correct
34 Correct 22 ms 17656 KB Output is correct
35 Correct 21 ms 17540 KB Output is correct
36 Correct 22 ms 17656 KB Output is correct
37 Correct 22 ms 17592 KB Output is correct
38 Correct 22 ms 17656 KB Output is correct
39 Correct 24 ms 17656 KB Output is correct
40 Correct 23 ms 17656 KB Output is correct
41 Correct 22 ms 17656 KB Output is correct
42 Correct 22 ms 17656 KB Output is correct
43 Correct 22 ms 17656 KB Output is correct
44 Correct 24 ms 17656 KB Output is correct
45 Correct 19 ms 17400 KB Output is correct
46 Correct 657 ms 37752 KB Output is correct
47 Correct 664 ms 49120 KB Output is correct
48 Correct 562 ms 36376 KB Output is correct
49 Correct 610 ms 37752 KB Output is correct
50 Correct 590 ms 36528 KB Output is correct
51 Correct 584 ms 37756 KB Output is correct
52 Correct 597 ms 36612 KB Output is correct
53 Correct 637 ms 37556 KB Output is correct
54 Correct 605 ms 39760 KB Output is correct
55 Correct 575 ms 37752 KB Output is correct
56 Correct 530 ms 36880 KB Output is correct
57 Correct 478 ms 37672 KB Output is correct
58 Correct 701 ms 46104 KB Output is correct
59 Correct 470 ms 38308 KB Output is correct
60 Correct 19 ms 17400 KB Output is correct
61 Correct 669 ms 40596 KB Output is correct
62 Correct 815 ms 50904 KB Output is correct
63 Correct 624 ms 39160 KB Output is correct
64 Correct 895 ms 40384 KB Output is correct
65 Correct 642 ms 39164 KB Output is correct
66 Correct 656 ms 40560 KB Output is correct
67 Correct 589 ms 39160 KB Output is correct
68 Correct 597 ms 40576 KB Output is correct
69 Correct 655 ms 42208 KB Output is correct
70 Correct 658 ms 40312 KB Output is correct
71 Correct 610 ms 39724 KB Output is correct
72 Correct 514 ms 41144 KB Output is correct
73 Correct 713 ms 48340 KB Output is correct
74 Correct 499 ms 42420 KB Output is correct