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답안 #376253

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
376253 2021-03-11T06:10:21 Z Kevin_Zhang_TW Designated Cities (JOI19_designated_cities) C++17
22 / 100
 602 ms 55260 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l) == r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
const int MAX_N = 200010;
const ll inf = 1ll << 59;
#define int ll

int n, q;
ll dprt[MAX_N], dpson[MAX_N], res[MAX_N], allsum;
ll goup[MAX_N];
vector<pair<int,int>> edge[MAX_N];

ll dfs1(int x, int lst = -1) {
	ll uplen = 0;
	for (auto [u, w] : edge[x]) if (u != lst) 
		dpson[x] += dfs1(u, x);
	else uplen = w;
	return dpson[x] + uplen;
}

void dfs2(int x, int lst = -1, ll upson = 0) {
	if (lst == -1) dprt[x] = dpson[x];
	dprt[x] += upson;
	for (auto [u, w] : edge[x]) if (u == lst)
		dprt[x] -= w;
	for (auto [u, w] : edge[x]) if (u != lst)
		dfs2(u, x, dprt[x] + w);
}

pair<int,int> best[MAX_N];
ll bstsum[MAX_N];

pair<ll,ll> mxlen[MAX_N];

void dfs3(int x, int lst = -1) {
	mxlen[x] = {0, x};
	for (auto [u, w] : edge[x]) if (u != lst) {
		dfs3(u, x);
		if (chmax(bstsum[x], bstsum[u]))
			best[x] = best[u];
		mxlen[u].first += w;

		if (chmax(bstsum[x], 
					mxlen[x].first + mxlen[u].first + dprt[x]))
			best[x] = {mxlen[x].second, mxlen[u].second};
		chmax(mxlen[x], mxlen[u]);
	}
}

int pa[MAX_N], paint[MAX_N];
ll gain[MAX_N];

void dfs4(int x, int lst = -1) {
	if (paint[x]) gain[x] = 0;
	pa[x] = lst;
	int sz = 0;
	for (auto [u, w] : edge[x]) if (u != lst) {
		gain[u] = gain[x] + w;
		dfs4(u, x);
		edge[x][sz++] = {u, w};
	}
	edge[x].resize(sz);
}
void dfs6(int x, int lst = -1) {
	for (auto [u, w] : edge[x]) if (u != lst) {
		dfs6(u, x);
	}
	sort(AI(edge[x]), [&](pair<int,int> a, pair<int,int> b) {
		return a.second + gain[a.first] > b.second + gain[b.first];
	});
	if (edge[x].size())
		gain[x] = gain[ edge[x][0].first ];
	if (paint[x]) gain[x] = 0;
}
int rt;
void takeout(int x) {
	while (x != -1) {
		paint[x] = true;
		x = pa[x];
	}
	dfs4(rt);
}

vector<ll> cand;

void dfs5(int x, int lst = -1, ll sum = 0) {
	if (paint[x]) sum = 0;
	for (auto [u, w] : edge[x]) if (u != lst) {
		dfs5(u, x, sum + w);
		sum = 0;
	}
	cand.pb(sum);
}

void solve() {
	dfs3(1);
	res[2] = bstsum[1];
	rt = best[1].first;
	dfs4(rt);
	takeout(best[1].second);

	dfs6(rt);
	dfs5(rt);
	sort(AI(cand));
	for (int i = 3;i <= n;++i) {
		res[i] = res[i-1];
		if (cand.size()) {
			res[i] += cand.back();
			cand.pop_back();
		}
	}
}

int32_t main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> n;
	for (int a, b, c, d, i = 1;i < n;++i) {
		cin >> a >> b >> c >> d;
		edge[a].pb(b, c);
		edge[b].pb(a, d);
		allsum += c + d;
	}

	dfs1(1);
	dfs2(1);

	res[1] = *max_element(dprt+1, dprt+1+n);

	solve();

	cin >> q;

	for (int i = 0, v;i < q;++i) {
		cin >> v;
		cout << allsum - res[v] << '\n';
	}
}

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 5 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 5 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 499 ms 34400 KB Output is correct
3 Correct 591 ms 53244 KB Output is correct
4 Correct 463 ms 32756 KB Output is correct
5 Correct 450 ms 32808 KB Output is correct
6 Correct 485 ms 36820 KB Output is correct
7 Correct 382 ms 32348 KB Output is correct
8 Correct 601 ms 52708 KB Output is correct
9 Correct 277 ms 27476 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 473 ms 33888 KB Output is correct
3 Correct 602 ms 55260 KB Output is correct
4 Correct 460 ms 33352 KB Output is correct
5 Correct 446 ms 33000 KB Output is correct
6 Correct 497 ms 37612 KB Output is correct
7 Correct 286 ms 33876 KB Output is correct
8 Correct 535 ms 46300 KB Output is correct
9 Correct 264 ms 27604 KB Output is correct

Subtask #4
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 5 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 5 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 5 ms 5100 KB Output is correct
13 Incorrect 6 ms 5484 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 499 ms 34400 KB Output is correct
3 Correct 591 ms 53244 KB Output is correct
4 Correct 463 ms 32756 KB Output is correct
5 Correct 450 ms 32808 KB Output is correct
6 Correct 485 ms 36820 KB Output is correct
7 Correct 382 ms 32348 KB Output is correct
8 Correct 601 ms 52708 KB Output is correct
9 Correct 277 ms 27476 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 473 ms 33888 KB Output is correct
12 Correct 602 ms 55260 KB Output is correct
13 Correct 460 ms 33352 KB Output is correct
14 Correct 446 ms 33000 KB Output is correct
15 Correct 497 ms 37612 KB Output is correct
16 Correct 286 ms 33876 KB Output is correct
17 Correct 535 ms 46300 KB Output is correct
18 Correct 264 ms 27604 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Incorrect 483 ms 33760 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 5 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 5 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 499 ms 34400 KB Output is correct
14 Correct 591 ms 53244 KB Output is correct
15 Correct 463 ms 32756 KB Output is correct
16 Correct 450 ms 32808 KB Output is correct
17 Correct 485 ms 36820 KB Output is correct
18 Correct 382 ms 32348 KB Output is correct
19 Correct 601 ms 52708 KB Output is correct
20 Correct 277 ms 27476 KB Output is correct
21 Correct 4 ms 5100 KB Output is correct
22 Correct 473 ms 33888 KB Output is correct
23 Correct 602 ms 55260 KB Output is correct
24 Correct 460 ms 33352 KB Output is correct
25 Correct 446 ms 33000 KB Output is correct
26 Correct 497 ms 37612 KB Output is correct
27 Correct 286 ms 33876 KB Output is correct
28 Correct 535 ms 46300 KB Output is correct
29 Correct 264 ms 27604 KB Output is correct
30 Correct 5 ms 5100 KB Output is correct
31 Incorrect 6 ms 5484 KB Output isn't correct
32 Halted 0 ms 0 KB -