답안 #529126

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
529126	2022-02-22T08:50:09 Z	fhvirus	Construction of Highway (JOI18_construction)	C++17	100 / 100	214 ms	20804 KB

construction

// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#define debug(...) ((void)0)
#endif

struct LISAN : vector<int> {
	void done() { sort(AI()); erase(unique(AI()), end()); }
	int operator () (const int& v) const { return lower_bound(AI(), v) - begin(); }
};
struct BIT {
	int n; vector<int> val;
	BIT(int _n = 0): n(_n), val(n + 1, 0) {}
	void modify(int p, int v) {
		for (; p <= n; p += p & -p)
			val[p] += v;
	}
	int query(int p) {
		int r = 0;
		for (; p > 0; p -= p & -p)
			r += val[p];
		return r;
	}
};

const int kN = 100'001;
int N, C[kN], A[kN], B[kN];
int par[kN];
vector<int> chi[kN];

int dep[kN], siz[kN];
void dfs_siz(int u) {
	siz[u] = 1;
	for (int& v: chi[u]) {
		dep[v] = dep[u] + 1;
		dfs_siz(v);
		siz[u] += siz[v];
		if (siz[v] > siz[chi[u][0]])
			swap(v, chi[u][0]);
	}
}
vector<pii> chain[kN];
int head[kN];
void dfs_head(int u, int h) {
	head[u] = h;
	for (const int& v: chi[u])
		dfs_head(v, v == chi[u][0] ? h : v);
	if (chain[h].empty())
		chain[h].pb(-1, dep[u] + 1);
	if (chain[h].back().ff != C[u])
		chain[h].pb(C[u], dep[u]);
	else
		chain[h].back().ss = dep[u];
}

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

	cin >> N;
	LISAN lisan;
	for (int i = 1; i <= N; ++i) {
		cin >> C[i];
		lisan.pb(C[i]);
	}
	lisan.done();
	for (int i = 1; i <= N; ++i)
		C[i] = lisan(C[i]) + 1;
	for (int i = 1; i < N; ++i) {
		cin >> A[i] >> B[i];
		par[B[i]] = A[i];
		chi[A[i]].pb(B[i]);
	}

	dfs_siz(1);
	dfs_head(1, 1);

	BIT bit(lisan.size());
	vector<pii> vals, tmp;
	for (int i = 1; i < N; ++i) {
		int u = A[i];
		do {
			int h = head[u];
			while (8e7 /* is stronger than me */ ) {
				pii cur = chain[h].back();
				if (cur.ss > dep[u]) break;
				chain[h].pop_back();
				if (chain[h].back().ss > dep[u]) {
					tmp.pb(cur.ff, dep[u] - cur.ss + 1);
					if (chain[h].back().ss > dep[u] + 1)
						chain[h].pb(cur.ff, dep[u] + 1);
					break;
				}
				tmp.pb(cur.ff, chain[h].back().ss - cur.ss);
			}
			while (!tmp.empty()) {
				vals.push_back(tmp.back());
				tmp.pop_back();
			}
			u = par[h];
		} while (u != 0);

		ll ans = 0;
		for (const auto& [val, num]: vals) {
			ans += 1ll * bit.query(val - 1) * num;
			bit.modify(val, num);
		}
		cout << ans << '\n';
		for (const auto& [val, num]: vals)
			bit.modify(val, -num);
		vals.clear();

		u = A[i];
		do {
			int h = head[u];
			chain[h].pb(C[B[i]], dep[h]);
			u = par[h];
		} while (u != 0);
	}
	
	return 0;
}

Subtask #1
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4940 KB	Output is correct
2	Correct	3 ms	4952 KB	Output is correct
3	Correct	3 ms	4940 KB	Output is correct
4	Correct	3 ms	5068 KB	Output is correct
5	Correct	4 ms	5068 KB	Output is correct
6	Correct	4 ms	5084 KB	Output is correct
7	Correct	3 ms	5068 KB	Output is correct
8	Correct	3 ms	5068 KB	Output is correct
9	Correct	3 ms	5068 KB	Output is correct
10	Correct	4 ms	5068 KB	Output is correct
11	Correct	3 ms	5068 KB	Output is correct
12	Correct	4 ms	5068 KB	Output is correct
13	Correct	3 ms	5068 KB	Output is correct
14	Correct	4 ms	5068 KB	Output is correct
15	Correct	3 ms	5068 KB	Output is correct
16	Correct	3 ms	5068 KB	Output is correct
17	Correct	3 ms	5068 KB	Output is correct
18	Correct	3 ms	5068 KB	Output is correct
19	Correct	3 ms	5068 KB	Output is correct
20	Correct	3 ms	5088 KB	Output is correct
21	Correct	3 ms	5068 KB	Output is correct
22	Correct	3 ms	5068 KB	Output is correct
23	Correct	4 ms	4960 KB	Output is correct
24	Correct	4 ms	5068 KB	Output is correct
25	Correct	3 ms	5068 KB	Output is correct
26	Correct	4 ms	5068 KB	Output is correct
27	Correct	3 ms	5068 KB	Output is correct
28	Correct	3 ms	5068 KB	Output is correct
29	Correct	3 ms	5068 KB	Output is correct
30	Correct	3 ms	5036 KB	Output is correct
31	Correct	3 ms	5068 KB	Output is correct
32	Correct	3 ms	5068 KB	Output is correct
33	Correct	3 ms	5068 KB	Output is correct
34	Correct	3 ms	5068 KB	Output is correct
35	Correct	3 ms	5068 KB	Output is correct
36	Correct	3 ms	5068 KB	Output is correct
37	Correct	3 ms	5068 KB	Output is correct
38	Correct	2 ms	5068 KB	Output is correct
39	Correct	3 ms	4988 KB	Output is correct
40	Correct	3 ms	5068 KB	Output is correct
41	Correct	3 ms	5068 KB	Output is correct
42	Correct	3 ms	5068 KB	Output is correct
43	Correct	4 ms	5068 KB	Output is correct
44	Correct	3 ms	5068 KB	Output is correct

Subtask #2
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4940 KB	Output is correct
2	Correct	3 ms	4952 KB	Output is correct
3	Correct	3 ms	4940 KB	Output is correct
4	Correct	3 ms	5068 KB	Output is correct
5	Correct	4 ms	5068 KB	Output is correct
6	Correct	4 ms	5084 KB	Output is correct
7	Correct	3 ms	5068 KB	Output is correct
8	Correct	3 ms	5068 KB	Output is correct
9	Correct	3 ms	5068 KB	Output is correct
10	Correct	4 ms	5068 KB	Output is correct
11	Correct	3 ms	5068 KB	Output is correct
12	Correct	4 ms	5068 KB	Output is correct
13	Correct	3 ms	5068 KB	Output is correct
14	Correct	4 ms	5068 KB	Output is correct
15	Correct	3 ms	5068 KB	Output is correct
16	Correct	3 ms	5068 KB	Output is correct
17	Correct	3 ms	5068 KB	Output is correct
18	Correct	3 ms	5068 KB	Output is correct
19	Correct	3 ms	5068 KB	Output is correct
20	Correct	3 ms	5088 KB	Output is correct
21	Correct	3 ms	5068 KB	Output is correct
22	Correct	3 ms	5068 KB	Output is correct
23	Correct	4 ms	4960 KB	Output is correct
24	Correct	4 ms	5068 KB	Output is correct
25	Correct	3 ms	5068 KB	Output is correct
26	Correct	4 ms	5068 KB	Output is correct
27	Correct	3 ms	5068 KB	Output is correct
28	Correct	3 ms	5068 KB	Output is correct
29	Correct	3 ms	5068 KB	Output is correct
30	Correct	3 ms	5036 KB	Output is correct
31	Correct	3 ms	5068 KB	Output is correct
32	Correct	3 ms	5068 KB	Output is correct
33	Correct	3 ms	5068 KB	Output is correct
34	Correct	3 ms	5068 KB	Output is correct
35	Correct	3 ms	5068 KB	Output is correct
36	Correct	3 ms	5068 KB	Output is correct
37	Correct	3 ms	5068 KB	Output is correct
38	Correct	2 ms	5068 KB	Output is correct
39	Correct	3 ms	4988 KB	Output is correct
40	Correct	3 ms	5068 KB	Output is correct
41	Correct	3 ms	5068 KB	Output is correct
42	Correct	3 ms	5068 KB	Output is correct
43	Correct	4 ms	5068 KB	Output is correct
44	Correct	3 ms	5068 KB	Output is correct
45	Correct	3 ms	5068 KB	Output is correct
46	Correct	6 ms	5324 KB	Output is correct
47	Correct	6 ms	5388 KB	Output is correct
48	Correct	8 ms	5332 KB	Output is correct
49	Correct	5 ms	5580 KB	Output is correct
50	Correct	5 ms	5580 KB	Output is correct
51	Correct	5 ms	5596 KB	Output is correct
52	Correct	5 ms	5452 KB	Output is correct
53	Correct	5 ms	5452 KB	Output is correct
54	Correct	5 ms	5452 KB	Output is correct
55	Correct	5 ms	5452 KB	Output is correct
56	Correct	7 ms	5488 KB	Output is correct
57	Correct	9 ms	5324 KB	Output is correct
58	Correct	8 ms	5324 KB	Output is correct
59	Correct	7 ms	5324 KB	Output is correct
60	Correct	10 ms	5300 KB	Output is correct
61	Correct	5 ms	5452 KB	Output is correct
62	Correct	7 ms	5452 KB	Output is correct
63	Correct	7 ms	5452 KB	Output is correct
64	Correct	5 ms	5324 KB	Output is correct
65	Correct	6 ms	5324 KB	Output is correct
66	Correct	6 ms	5324 KB	Output is correct
67	Correct	6 ms	5324 KB	Output is correct
68	Correct	4 ms	5580 KB	Output is correct
69	Correct	5 ms	5452 KB	Output is correct
70	Correct	5 ms	5452 KB	Output is correct
71	Correct	5 ms	5452 KB	Output is correct
72	Correct	7 ms	5324 KB	Output is correct
73	Correct	7 ms	5336 KB	Output is correct
74	Correct	7 ms	5448 KB	Output is correct
75	Correct	7 ms	5324 KB	Output is correct
76	Correct	8 ms	5324 KB	Output is correct
77	Correct	5 ms	5324 KB	Output is correct
78	Correct	5 ms	5392 KB	Output is correct
79	Correct	5 ms	5324 KB	Output is correct
80	Correct	5 ms	5324 KB	Output is correct
81	Correct	5 ms	5324 KB	Output is correct
82	Correct	5 ms	5324 KB	Output is correct
83	Correct	5 ms	5324 KB	Output is correct
84	Correct	5 ms	5340 KB	Output is correct
85	Correct	4 ms	5324 KB	Output is correct
86	Correct	5 ms	5324 KB	Output is correct

Subtask #3
84.0 / 84.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4940 KB	Output is correct
2	Correct	3 ms	4952 KB	Output is correct
3	Correct	3 ms	4940 KB	Output is correct
4	Correct	3 ms	5068 KB	Output is correct
5	Correct	4 ms	5068 KB	Output is correct
6	Correct	4 ms	5084 KB	Output is correct
7	Correct	3 ms	5068 KB	Output is correct
8	Correct	3 ms	5068 KB	Output is correct
9	Correct	3 ms	5068 KB	Output is correct
10	Correct	4 ms	5068 KB	Output is correct
11	Correct	3 ms	5068 KB	Output is correct
12	Correct	4 ms	5068 KB	Output is correct
13	Correct	3 ms	5068 KB	Output is correct
14	Correct	4 ms	5068 KB	Output is correct
15	Correct	3 ms	5068 KB	Output is correct
16	Correct	3 ms	5068 KB	Output is correct
17	Correct	3 ms	5068 KB	Output is correct
18	Correct	3 ms	5068 KB	Output is correct
19	Correct	3 ms	5068 KB	Output is correct
20	Correct	3 ms	5088 KB	Output is correct
21	Correct	3 ms	5068 KB	Output is correct
22	Correct	3 ms	5068 KB	Output is correct
23	Correct	4 ms	4960 KB	Output is correct
24	Correct	4 ms	5068 KB	Output is correct
25	Correct	3 ms	5068 KB	Output is correct
26	Correct	4 ms	5068 KB	Output is correct
27	Correct	3 ms	5068 KB	Output is correct
28	Correct	3 ms	5068 KB	Output is correct
29	Correct	3 ms	5068 KB	Output is correct
30	Correct	3 ms	5036 KB	Output is correct
31	Correct	3 ms	5068 KB	Output is correct
32	Correct	3 ms	5068 KB	Output is correct
33	Correct	3 ms	5068 KB	Output is correct
34	Correct	3 ms	5068 KB	Output is correct
35	Correct	3 ms	5068 KB	Output is correct
36	Correct	3 ms	5068 KB	Output is correct
37	Correct	3 ms	5068 KB	Output is correct
38	Correct	2 ms	5068 KB	Output is correct
39	Correct	3 ms	4988 KB	Output is correct
40	Correct	3 ms	5068 KB	Output is correct
41	Correct	3 ms	5068 KB	Output is correct
42	Correct	3 ms	5068 KB	Output is correct
43	Correct	4 ms	5068 KB	Output is correct
44	Correct	3 ms	5068 KB	Output is correct
45	Correct	3 ms	5068 KB	Output is correct
46	Correct	6 ms	5324 KB	Output is correct
47	Correct	6 ms	5388 KB	Output is correct
48	Correct	8 ms	5332 KB	Output is correct
49	Correct	5 ms	5580 KB	Output is correct
50	Correct	5 ms	5580 KB	Output is correct
51	Correct	5 ms	5596 KB	Output is correct
52	Correct	5 ms	5452 KB	Output is correct
53	Correct	5 ms	5452 KB	Output is correct
54	Correct	5 ms	5452 KB	Output is correct
55	Correct	5 ms	5452 KB	Output is correct
56	Correct	7 ms	5488 KB	Output is correct
57	Correct	9 ms	5324 KB	Output is correct
58	Correct	8 ms	5324 KB	Output is correct
59	Correct	7 ms	5324 KB	Output is correct
60	Correct	10 ms	5300 KB	Output is correct
61	Correct	5 ms	5452 KB	Output is correct
62	Correct	7 ms	5452 KB	Output is correct
63	Correct	7 ms	5452 KB	Output is correct
64	Correct	5 ms	5324 KB	Output is correct
65	Correct	6 ms	5324 KB	Output is correct
66	Correct	6 ms	5324 KB	Output is correct
67	Correct	6 ms	5324 KB	Output is correct
68	Correct	4 ms	5580 KB	Output is correct
69	Correct	5 ms	5452 KB	Output is correct
70	Correct	5 ms	5452 KB	Output is correct
71	Correct	5 ms	5452 KB	Output is correct
72	Correct	7 ms	5324 KB	Output is correct
73	Correct	7 ms	5336 KB	Output is correct
74	Correct	7 ms	5448 KB	Output is correct
75	Correct	7 ms	5324 KB	Output is correct
76	Correct	8 ms	5324 KB	Output is correct
77	Correct	5 ms	5324 KB	Output is correct
78	Correct	5 ms	5392 KB	Output is correct
79	Correct	5 ms	5324 KB	Output is correct
80	Correct	5 ms	5324 KB	Output is correct
81	Correct	5 ms	5324 KB	Output is correct
82	Correct	5 ms	5324 KB	Output is correct
83	Correct	5 ms	5324 KB	Output is correct
84	Correct	5 ms	5340 KB	Output is correct
85	Correct	4 ms	5324 KB	Output is correct
86	Correct	5 ms	5324 KB	Output is correct
87	Correct	13 ms	5708 KB	Output is correct
88	Correct	35 ms	7232 KB	Output is correct
89	Correct	148 ms	12584 KB	Output is correct
90	Correct	141 ms	12552 KB	Output is correct
91	Correct	144 ms	12664 KB	Output is correct
92	Correct	85 ms	20420 KB	Output is correct
93	Correct	98 ms	20776 KB	Output is correct
94	Correct	84 ms	20804 KB	Output is correct
95	Correct	89 ms	17584 KB	Output is correct
96	Correct	105 ms	17828 KB	Output is correct
97	Correct	106 ms	17708 KB	Output is correct
98	Correct	85 ms	17680 KB	Output is correct
99	Correct	92 ms	16712 KB	Output is correct
100	Correct	187 ms	13216 KB	Output is correct
101	Correct	200 ms	13072 KB	Output is correct
102	Correct	212 ms	13236 KB	Output is correct
103	Correct	214 ms	13120 KB	Output is correct
104	Correct	95 ms	16692 KB	Output is correct
105	Correct	93 ms	16576 KB	Output is correct
106	Correct	120 ms	16684 KB	Output is correct
107	Correct	120 ms	12568 KB	Output is correct
108	Correct	114 ms	12548 KB	Output is correct
109	Correct	150 ms	12808 KB	Output is correct
110	Correct	72 ms	20580 KB	Output is correct
111	Correct	82 ms	17720 KB	Output is correct
112	Correct	71 ms	17320 KB	Output is correct
113	Correct	70 ms	16292 KB	Output is correct
114	Correct	203 ms	13232 KB	Output is correct
115	Correct	151 ms	12728 KB	Output is correct
116	Correct	82 ms	16296 KB	Output is correct
117	Correct	91 ms	14636 KB	Output is correct
118	Correct	100 ms	14124 KB	Output is correct
119	Correct	87 ms	13608 KB	Output is correct
120	Correct	72 ms	14124 KB	Output is correct
121	Correct	90 ms	13724 KB	Output is correct
122	Correct	82 ms	13260 KB	Output is correct
123	Correct	97 ms	14728 KB	Output is correct
124	Correct	103 ms	14152 KB	Output is correct
125	Correct	100 ms	13720 KB	Output is correct
126	Correct	92 ms	14248 KB	Output is correct
127	Correct	82 ms	13868 KB	Output is correct
128	Correct	87 ms	13352 KB	Output is correct

답안 #529126

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 9.0 / 9.0

Subtask #3 84.0 / 84.0

Subtask #1
7.0 / 7.0

Subtask #2
9.0 / 9.0

Subtask #3
84.0 / 84.0