Submission #424535

# Submission time Handle Problem Language Result Execution time Memory
424535 2021-06-12T04:47:54 Z milleniumEeee Designated Cities (JOI19_designated_cities) C++14
6 / 100
846 ms 52848 KB
#include <bits/stdc++.h>
#define fr first
#define sc second
#define pii pair<int, int>
#define pb push_back
#define szof(s) (int)s.size()
#define all(s) s.begin(), s.end()
#define fastInp ios_base::sync_with_stdio(0); cin.tie(0);
//#define ll long long

template<class T>void chmax(T &a, T b){if (a < b)a = b;}
template<class T>void chmin(T &a, T b){if (b < a)a = b;}

#define int long long

using namespace std;

const int MAXN  = (int)2e5 + 5;
const int INF = 1e18;

int A[MAXN], B[MAXN], C[MAXN], D[MAXN];
vector <pii> g[MAXN];
int n;
int q;

int tin[MAXN], tout[MAXN];
int tiktak = 0;

void calc_t(int v, int par) {
	tin[v] = ++tiktak;
	for (auto [to, cost] : g[v]) {
		if (to != par) {
			calc_t(to, v);
		}
	}
	tout[v] = tiktak;
}

bool father(int a, int b) {
	return tin[a] <= tin[b] && tout[b] <= tout[a];
}

int used[MAXN][2], used_id = 0;

void add(int x, int color) {
	for (int i = 1; i < n; i++) {
		int a = A[i];
		int b = B[i];
		if (father(a, b)) {
			if (father(b, x)) {
				used[i][0] = color;
			} else {
				used[i][1] = color;
			}
		}
		else {
			if (father(a, x)) {
				used[i][1] = color;
			}
			else {
				used[i][0] = color;
			}
		}
	}
}

int calc_ans() {
	int sum = 0;
	for (int i = 1; i < n; i++) {
		if (used[i][0] != used_id) {
			sum += C[i];
		}
		if (used[i][1] != used_id) {
			sum += D[i];
		}
	}
	return sum;
}

int ans[20];

void precalc() {
	fill(ans, ans + 20, INF);
	for (int mask = 1; mask < (1 << 16); mask++) {
		used_id++;
		for (int i = 0; i < 16; i++) {
			if (mask & (1 << i)) {
				add(i + 1, used_id);
			}
		}
		int bits = __builtin_popcount(mask);
		chmin(ans[bits], calc_ans());
	}
}

int e[MAXN];

void brute_force() {
	precalc();
	for (int i = 1; i <= q; i++) {
		cout << ans[e[i]] << endl;
	}
	exit(0);
}

int mx = 0;
map <pii, int> edge;
void dfs(int v, int par, int cur_sum) {
	chmax(mx, cur_sum);
	for (auto [to, cost] : g[v]) {
		if (to != par) {
			multiset <int> st;
			int ed = edge[{v, to}];
			st.insert(C[ed]);
			st.insert(D[ed]);
			st.erase(st.find(cost));
			dfs(to, v, cur_sum - cost + *st.begin());
		}
	}
}

signed main() {
	fastInp;
	cin >> n;
	for (int i = 1; i < n; i++) {
		cin >> A[i] >> B[i] >> C[i] >> D[i];
		g[A[i]].pb({B[i], C[i]});
		g[B[i]].pb({A[i], D[i]});
		edge[{A[i], B[i]}] = i;
		edge[{B[i], A[i]}] = i;
	}
	cin >> q;
	for (int i = 1; i <= q; i++) {
		cin >> e[i];
	}
	calc_t(1, -1);
	if (n <= 16) {
		brute_force();
	}
	else {
		used_id = 1;
		add(1, used_id);
		int sum_root = 0;
		int sum = 0;
		for (int i = 1; i < n; i++) {
			if (used[i][0] == used_id) {
				sum_root += C[i];
			}
			if (used[i][1] == used_id) {
				sum_root += D[i];
			}
			sum += C[i] + D[i];
		}
		dfs(1, -1, sum_root);
		cout << sum - mx << endl;
	}
}

Compilation message

designated_cities.cpp: In function 'void calc_t(long long int, long long int)':
designated_cities.cpp:31:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   31 |  for (auto [to, cost] : g[v]) {
      |            ^
designated_cities.cpp: In function 'void dfs(long long int, long long int, long long int)':
designated_cities.cpp:110:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  110 |  for (auto [to, cost] : g[v]) {
      |            ^
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4940 KB Output is correct
2 Correct 28 ms 4940 KB Output is correct
3 Correct 25 ms 5068 KB Output is correct
4 Correct 27 ms 4940 KB Output is correct
5 Correct 28 ms 4940 KB Output is correct
6 Correct 29 ms 5068 KB Output is correct
7 Correct 34 ms 5068 KB Output is correct
8 Correct 29 ms 5072 KB Output is correct
9 Correct 30 ms 5068 KB Output is correct
10 Correct 25 ms 5068 KB Output is correct
11 Correct 31 ms 4940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 5068 KB Output is correct
2 Incorrect 846 ms 52832 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 4940 KB Output is correct
2 Incorrect 839 ms 52848 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4940 KB Output is correct
2 Correct 28 ms 4940 KB Output is correct
3 Correct 25 ms 5068 KB Output is correct
4 Correct 27 ms 4940 KB Output is correct
5 Correct 28 ms 4940 KB Output is correct
6 Correct 29 ms 5068 KB Output is correct
7 Correct 34 ms 5068 KB Output is correct
8 Correct 29 ms 5072 KB Output is correct
9 Correct 30 ms 5068 KB Output is correct
10 Correct 25 ms 5068 KB Output is correct
11 Correct 31 ms 4940 KB Output is correct
12 Correct 10 ms 5060 KB Output is correct
13 Incorrect 6 ms 5480 KB Output isn't correct
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 5068 KB Output is correct
2 Incorrect 846 ms 52832 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4940 KB Output is correct
2 Correct 28 ms 4940 KB Output is correct
3 Correct 25 ms 5068 KB Output is correct
4 Correct 27 ms 4940 KB Output is correct
5 Correct 28 ms 4940 KB Output is correct
6 Correct 29 ms 5068 KB Output is correct
7 Correct 34 ms 5068 KB Output is correct
8 Correct 29 ms 5072 KB Output is correct
9 Correct 30 ms 5068 KB Output is correct
10 Correct 25 ms 5068 KB Output is correct
11 Correct 31 ms 4940 KB Output is correct
12 Correct 10 ms 5068 KB Output is correct
13 Incorrect 846 ms 52832 KB Output isn't correct
14 Halted 0 ms 0 KB -