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Submission #377851

# Submission time Handle Problem Language Result Execution time Memory
377851 2021-03-15T10:54:39 Z pit4h Designated Cities (JOI19_designated_cities) C++14
100 / 100
 912 ms 61596 KB 
#include<bits/stdc++.h>
#define st first
#define nd second
#define mp make_pair
using namespace std;
using pii = pair<int, int>;
using ll = long long;
const int MAXN = 2e5+1;
const ll INF = 1e18+1;
int n, a[MAXN], b[MAXN], c[MAXN], d[MAXN];
ll total;
vector<pii> g[MAXN];

ll ans[MAXN];
ll cur_score, cur_val[MAXN];
void solve1(int x, int p) {
	ans[1] = max(ans[1], cur_score);
	for(auto& [i, w]: g[x]) {
		if(i!=p) {
			ll _score = cur_score, _val = cur_val[i];
			cur_score += w-cur_val[i];
			solve1(i, x);
			cur_score = _score;
			cur_val[i] = _val;
			cur_val[x] = 0;
		}
	}
}

pair<ll, int> get_furthest(int x, int p, ll dist) {
	pair<ll, int> res = mp(dist, x);
	for(auto& [i, w]: g[x]) {
		if(i!=p) {
			res = max(res, get_furthest(i, x, dist+w));
		}
	}
	return res;
}
ll get_score(int x, int p) {
	ll res = 0;
	cur_val[x] = 0;
	for(auto& [i, w]: g[x]) {
		if(i!=p) {
			res += get_score(i, x);
		}
		else {
			cur_val[x] = w;
			res += w;
		}
	}
	return res;
}
int par[MAXN], parw[MAXN], pre[MAXN], range[MAXN], nr; 
ll val[MAXN];
bool vis[MAXN];
void dfs(int x, int p, ll dist) {
	par[x] = p;
	vis[x] = 0;
	pre[x] = range[x] = ++nr;
	val[x] = dist;
	for(auto& [i, w]: g[x]) {
		if(i!=p) {
			parw[i] = w;
			dfs(i, x, dist + w);
			range[x] = max(range[x], range[i]);
		}
	}
}

const int base = (1<<18);
pair<ll, int> tree[2*base+1];
ll push[2*base+1];
void upd(int x, ll v) {
	tree[x].st += v;
	push[x] += v;
}
void ins(int l, int r, ll v, int id=1, int rl=1, int rr=base) {
	if(l > rr || r < rl) return;
	if(l<=rl && r>=rr) {	
		upd(id, v);
		return;
	}
	upd(id*2, push[id]), upd(id*2+1, push[id]);
	push[id] = 0;
	ins(l, r, v, id*2, rl, (rl+rr)/2), ins(l, r, v, id*2+1, (rl+rr)/2+1, rr);
	tree[id] = max(tree[id*2], tree[id*2+1]);
}
int get_best() {
	return tree[1].nd;
}
void build() {
	for(int i=1; i<=n; ++i) {
		tree[pre[i]+base-1] = mp(val[i], i);
	}
	for(int i=base-1; i>=1; --i) {
		tree[i] = max(tree[i*2], tree[i*2+1]);
	}
}
void solve(int root) {
	nr = 0;
	dfs(root, root, 0);
	build();
	vector<ll> res(n+1);
	res[1] = get_score(root, root);
	vis[root] = 1;
	for(int i=2; i<=n; ++i) {
		res[i] = res[i-1];
		int cur = get_best();	
		while(!vis[cur]) {
			vis[cur] = 1;
			res[i] += parw[cur];	
			ins(pre[cur], range[cur], -parw[cur]);
			cur = par[cur];
		}
	}

	for(int i=1; i<=n; ++i) {
		ans[i] = max(ans[i], res[i]);
	}
}
int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin>>n;
	for(int i=0; i<n-1; ++i) {
		cin>>a[i]>>b[i]>>c[i]>>d[i];
		g[a[i]].push_back(mp(b[i], c[i]));
		g[b[i]].push_back(mp(a[i], d[i]));
		total += c[i]+d[i];
	}
	cur_score = get_score(1, 1);
	solve1(1, 1);

	int root = get_furthest(1, 1, 0).nd;
	solve(root);

	root = get_furthest(root, root, 0).nd;
	solve(root);

	int q; cin>>q;
	for(int i=0; i<q; ++i) {
		int e; cin>>e;
		cout<<total - ans[e]<<'\n';
	}
}

Compilation message

designated_cities.cpp: In function 'void solve1(int, int)':
designated_cities.cpp:18:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   18 |  for(auto& [i, w]: g[x]) {
      |            ^
designated_cities.cpp: In function 'std::pair<long long int, int> get_furthest(int, int, ll)':
designated_cities.cpp:32:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   32 |  for(auto& [i, w]: g[x]) {
      |            ^
designated_cities.cpp: In function 'll get_score(int, int)':
designated_cities.cpp:42:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   42 |  for(auto& [i, w]: g[x]) {
      |            ^
designated_cities.cpp: In function 'void dfs(int, int, ll)':
designated_cities.cpp:61:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   61 |  for(auto& [i, w]: g[x]) {
      |            ^

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9324 KB Output is correct
2 Correct 8 ms 9324 KB Output is correct
3 Correct 7 ms 9204 KB Output is correct
4 Correct 7 ms 9324 KB Output is correct
5 Correct 8 ms 9324 KB Output is correct
6 Correct 8 ms 9324 KB Output is correct
7 Correct 8 ms 9324 KB Output is correct
8 Correct 8 ms 9324 KB Output is correct
9 Correct 7 ms 9324 KB Output is correct
10 Correct 7 ms 9324 KB Output is correct
11 Correct 8 ms 9324 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9324 KB Output is correct
2 Correct 766 ms 35692 KB Output is correct
3 Correct 876 ms 53532 KB Output is correct
4 Correct 709 ms 35692 KB Output is correct
5 Correct 737 ms 35556 KB Output is correct
6 Correct 793 ms 37964 KB Output is correct
7 Correct 684 ms 35776 KB Output is correct
8 Correct 883 ms 52556 KB Output is correct
9 Correct 580 ms 36160 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9452 KB Output is correct
2 Correct 761 ms 35744 KB Output is correct
3 Correct 860 ms 53580 KB Output is correct
4 Correct 713 ms 35564 KB Output is correct
5 Correct 746 ms 35524 KB Output is correct
6 Correct 809 ms 38696 KB Output is correct
7 Correct 606 ms 35904 KB Output is correct
8 Correct 863 ms 47180 KB Output is correct
9 Correct 573 ms 36060 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9324 KB Output is correct
2 Correct 8 ms 9324 KB Output is correct
3 Correct 7 ms 9204 KB Output is correct
4 Correct 7 ms 9324 KB Output is correct
5 Correct 8 ms 9324 KB Output is correct
6 Correct 8 ms 9324 KB Output is correct
7 Correct 8 ms 9324 KB Output is correct
8 Correct 8 ms 9324 KB Output is correct
9 Correct 7 ms 9324 KB Output is correct
10 Correct 7 ms 9324 KB Output is correct
11 Correct 8 ms 9324 KB Output is correct
12 Correct 7 ms 9324 KB Output is correct
13 Correct 12 ms 9580 KB Output is correct
14 Correct 12 ms 9836 KB Output is correct
15 Correct 12 ms 9580 KB Output is correct
16 Correct 12 ms 9708 KB Output is correct
17 Correct 11 ms 9580 KB Output is correct
18 Correct 11 ms 9580 KB Output is correct
19 Correct 12 ms 9580 KB Output is correct
20 Correct 12 ms 9580 KB Output is correct
21 Correct 11 ms 9708 KB Output is correct
22 Correct 11 ms 9580 KB Output is correct
23 Correct 11 ms 9580 KB Output is correct
24 Correct 11 ms 9708 KB Output is correct
25 Correct 12 ms 9836 KB Output is correct
26 Correct 11 ms 9708 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9324 KB Output is correct
2 Correct 766 ms 35692 KB Output is correct
3 Correct 876 ms 53532 KB Output is correct
4 Correct 709 ms 35692 KB Output is correct
5 Correct 737 ms 35556 KB Output is correct
6 Correct 793 ms 37964 KB Output is correct
7 Correct 684 ms 35776 KB Output is correct
8 Correct 883 ms 52556 KB Output is correct
9 Correct 580 ms 36160 KB Output is correct
10 Correct 8 ms 9452 KB Output is correct
11 Correct 761 ms 35744 KB Output is correct
12 Correct 860 ms 53580 KB Output is correct
13 Correct 713 ms 35564 KB Output is correct
14 Correct 746 ms 35524 KB Output is correct
15 Correct 809 ms 38696 KB Output is correct
16 Correct 606 ms 35904 KB Output is correct
17 Correct 863 ms 47180 KB Output is correct
18 Correct 573 ms 36060 KB Output is correct
19 Correct 8 ms 9324 KB Output is correct
20 Correct 767 ms 35820 KB Output is correct
21 Correct 863 ms 59652 KB Output is correct
22 Correct 721 ms 40572 KB Output is correct
23 Correct 782 ms 42184 KB Output is correct
24 Correct 777 ms 40940 KB Output is correct
25 Correct 780 ms 42060 KB Output is correct
26 Correct 755 ms 40908 KB Output is correct
27 Correct 733 ms 41928 KB Output is correct
28 Correct 788 ms 44364 KB Output is correct
29 Correct 786 ms 42092 KB Output is correct
30 Correct 710 ms 41060 KB Output is correct
31 Correct 634 ms 42264 KB Output is correct
32 Correct 847 ms 54172 KB Output is correct
33 Correct 566 ms 42588 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9324 KB Output is correct
2 Correct 8 ms 9324 KB Output is correct
3 Correct 7 ms 9204 KB Output is correct
4 Correct 7 ms 9324 KB Output is correct
5 Correct 8 ms 9324 KB Output is correct
6 Correct 8 ms 9324 KB Output is correct
7 Correct 8 ms 9324 KB Output is correct
8 Correct 8 ms 9324 KB Output is correct
9 Correct 7 ms 9324 KB Output is correct
10 Correct 7 ms 9324 KB Output is correct
11 Correct 8 ms 9324 KB Output is correct
12 Correct 7 ms 9324 KB Output is correct
13 Correct 766 ms 35692 KB Output is correct
14 Correct 876 ms 53532 KB Output is correct
15 Correct 709 ms 35692 KB Output is correct
16 Correct 737 ms 35556 KB Output is correct
17 Correct 793 ms 37964 KB Output is correct
18 Correct 684 ms 35776 KB Output is correct
19 Correct 883 ms 52556 KB Output is correct
20 Correct 580 ms 36160 KB Output is correct
21 Correct 8 ms 9452 KB Output is correct
22 Correct 761 ms 35744 KB Output is correct
23 Correct 860 ms 53580 KB Output is correct
24 Correct 713 ms 35564 KB Output is correct
25 Correct 746 ms 35524 KB Output is correct
26 Correct 809 ms 38696 KB Output is correct
27 Correct 606 ms 35904 KB Output is correct
28 Correct 863 ms 47180 KB Output is correct
29 Correct 573 ms 36060 KB Output is correct
30 Correct 7 ms 9324 KB Output is correct
31 Correct 12 ms 9580 KB Output is correct
32 Correct 12 ms 9836 KB Output is correct
33 Correct 12 ms 9580 KB Output is correct
34 Correct 12 ms 9708 KB Output is correct
35 Correct 11 ms 9580 KB Output is correct
36 Correct 11 ms 9580 KB Output is correct
37 Correct 12 ms 9580 KB Output is correct
38 Correct 12 ms 9580 KB Output is correct
39 Correct 11 ms 9708 KB Output is correct
40 Correct 11 ms 9580 KB Output is correct
41 Correct 11 ms 9580 KB Output is correct
42 Correct 11 ms 9708 KB Output is correct
43 Correct 12 ms 9836 KB Output is correct
44 Correct 11 ms 9708 KB Output is correct
45 Correct 8 ms 9324 KB Output is correct
46 Correct 767 ms 35820 KB Output is correct
47 Correct 863 ms 59652 KB Output is correct
48 Correct 721 ms 40572 KB Output is correct
49 Correct 782 ms 42184 KB Output is correct
50 Correct 777 ms 40940 KB Output is correct
51 Correct 780 ms 42060 KB Output is correct
52 Correct 755 ms 40908 KB Output is correct
53 Correct 733 ms 41928 KB Output is correct
54 Correct 788 ms 44364 KB Output is correct
55 Correct 786 ms 42092 KB Output is correct
56 Correct 710 ms 41060 KB Output is correct
57 Correct 634 ms 42264 KB Output is correct
58 Correct 847 ms 54172 KB Output is correct
59 Correct 566 ms 42588 KB Output is correct
60 Correct 7 ms 9324 KB Output is correct
61 Correct 801 ms 44492 KB Output is correct
62 Correct 877 ms 61596 KB Output is correct
63 Correct 742 ms 43468 KB Output is correct
64 Correct 804 ms 44748 KB Output is correct
65 Correct 812 ms 43340 KB Output is correct
66 Correct 802 ms 44876 KB Output is correct
67 Correct 796 ms 43468 KB Output is correct
68 Correct 768 ms 44616 KB Output is correct
69 Correct 806 ms 47180 KB Output is correct
70 Correct 793 ms 44644 KB Output is correct
71 Correct 739 ms 43860 KB Output is correct
72 Correct 702 ms 45312 KB Output is correct
73 Correct 912 ms 56060 KB Output is correct
74 Correct 604 ms 46656 KB Output is correct