Submission #915739

# Submission time Handle Problem Language Result Execution time Memory
915739 2024-01-24T16:08:20 Z KiaRez Construction of Highway (JOI18_construction) C++17
100 / 100
236 ms 32148 KB
/*
    IN THE NAME OF GOD
*/
#include <bits/stdc++.h>

// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;

#define F                                      first
#define S                                      second
#define Mp                                     make_pair
#define pb                                     push_back
#define pf                                     push_front
#define size(x)                                ((ll)x.size())
#define all(x)                                 (x).begin(),(x).end()
#define kill(x)		                           cout << x << '\n', exit(0);
#define fuck(x)                                cout << "(" << #x << " , " << x << ")" << endl
#define endl                                   '\n'

const int N = 2e5+23, lg = 18;
ll Mod = 1e9+7; //998244353;

inline ll MOD(ll a, ll mod=Mod) {a%=mod; (a<0)&&(a+=mod); return a;}
inline ll poww(ll a, ll b, ll mod=Mod) {
    ll ans = 1;
    a=MOD(a, mod);
    while (b) {
        if (b & 1) ans = MOD(ans*a, mod);
        b >>= 1;
        a = MOD(a*a, mod);
    }
    return ans;
}

int n, a[N], b[N], c[N], h[N], par[N], head[N], subt[N], fen[N];
int tim, tin[N], tout[N];
vector<int> comp, adj[N];
vector<pll> g[N], rbk;

void upd(int ind, int val) {
	if(ind == 0) return;
	rbk.pb({ind, val});
	while(ind < N) {
		fen[ind] += val; ind += (ind&(-ind));
	}
}

void rolbak() {
	while(size(rbk) > 0) {
		upd(rbk.back().F, -rbk.back().S);
		rbk.pop_back();
		rbk.pop_back();
	}
}

int qry(int ind) {
	int res = 0;
	while(ind > 0) {
		res += fen[ind]; ind -= (ind&(-ind));
	}
	return res;
}

void init(int v, int p=0) {
	par[v] = p, subt[v] = 1, h[v] = h[p] + 1;
	for(int u : adj[v]) {
		if(u == p) continue;
		init(u, v); subt[v] += subt[u];
	}
}

void dfs(int v, int p) {
	head[v] = p, tin[v] = ++tim;
	int mx = 0;
	for(int u : adj[v]) {
		if(u == par[v]) continue;
		mx = (subt[mx]>subt[u] ? mx : u);
	}
	for(int u : adj[v]) {
		if(u==par[v] || u==mx) continue;
		dfs(u, u);
	}
	if(mx != 0) dfs(mx, p);
	tout[v] = tim+1;
}

ll query(ll v) {
	if(v == 0) return 0;
	ll res = 0, u = head[v], num = h[v]-h[head[v]]+1;
	vector<pll> tmp;
	for(int i=size(g[u])-1; num>0&&i>=0; i--) {
		tmp.pb({g[u][i].F, min(g[u][i].S, num)});
		num -= min(g[u][i].S, num);
	}
	reverse(all(tmp));
	for(auto it : tmp) {
		res += (it.S*qry(it.F-1));
		upd(it.F, it.S);
	}
	return res+query(par[u]);
}

void update(int v, ll val, int flg=0) {
	if(v == 0) return;
	if(flg == 1) {
		g[head[v]].clear();
		g[head[v]].pb({val, h[v]-h[head[v]]+1});
		update(par[head[v]], val);
		return;
	}
	ll u = head[v], num = h[v]-h[head[v]]+1;
	while(size(g[u])>0 && num>0) {
		if(num>=g[u].back().S) {
			num -= g[u].back().S;
			g[u].pop_back();
		} else {
			g[u].back().S -= num; num=0;
		}
	}
	g[u].pb({val, h[v]-h[u]+1});
	update(par[u], val);
}

int main () {
	ios_base::sync_with_stdio(false), cin.tie(0);

	cin>>n;
	for(int i=1; i<=n; i++) {
		cin>>c[i]; comp.pb(c[i]);
	}
	sort(all(comp)); comp.resize(unique(all(comp)) - comp.begin());
	for(int i=1; i<=n; i++) {
		c[i] = lower_bound(all(comp), c[i]) - comp.begin() + 1;
	}
	vector<pii> Q;
	for(int v,u,i=1; i<n; i++) {
		cin>>v>>u;
		adj[v].pb(u); adj[u].pb(v);
		Q.pb({v, u});
	}

	init(1);
	dfs(1, 1);
	g[1].pb({c[1], 1});

	for(auto it : Q) {
		if(h[it.F] > h[it.S]) swap(it.F, it.S);
		cout<<query(it.F)<<endl;
		update(it.S, c[it.S], 1);
		rolbak();
	}

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16988 KB Output is correct
2 Correct 4 ms 16984 KB Output is correct
3 Correct 4 ms 17040 KB Output is correct
4 Correct 5 ms 16988 KB Output is correct
5 Correct 4 ms 17056 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 6 ms 17244 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 5 ms 16988 KB Output is correct
11 Correct 4 ms 16988 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17084 KB Output is correct
14 Correct 5 ms 17112 KB Output is correct
15 Correct 5 ms 16988 KB Output is correct
16 Correct 5 ms 16988 KB Output is correct
17 Correct 5 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 4 ms 16988 KB Output is correct
21 Correct 4 ms 16988 KB Output is correct
22 Correct 5 ms 16984 KB Output is correct
23 Correct 5 ms 16988 KB Output is correct
24 Correct 5 ms 16984 KB Output is correct
25 Correct 5 ms 16988 KB Output is correct
26 Correct 4 ms 16988 KB Output is correct
27 Correct 4 ms 17052 KB Output is correct
28 Correct 4 ms 16984 KB Output is correct
29 Correct 4 ms 16984 KB Output is correct
30 Correct 5 ms 16984 KB Output is correct
31 Correct 6 ms 16984 KB Output is correct
32 Correct 4 ms 16988 KB Output is correct
33 Correct 4 ms 16988 KB Output is correct
34 Correct 4 ms 16988 KB Output is correct
35 Correct 5 ms 16988 KB Output is correct
36 Correct 4 ms 16984 KB Output is correct
37 Correct 4 ms 16988 KB Output is correct
38 Correct 5 ms 17088 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 4 ms 16988 KB Output is correct
41 Correct 5 ms 16988 KB Output is correct
42 Correct 5 ms 16988 KB Output is correct
43 Correct 4 ms 17052 KB Output is correct
44 Correct 4 ms 16988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16988 KB Output is correct
2 Correct 4 ms 16984 KB Output is correct
3 Correct 4 ms 17040 KB Output is correct
4 Correct 5 ms 16988 KB Output is correct
5 Correct 4 ms 17056 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 6 ms 17244 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 5 ms 16988 KB Output is correct
11 Correct 4 ms 16988 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17084 KB Output is correct
14 Correct 5 ms 17112 KB Output is correct
15 Correct 5 ms 16988 KB Output is correct
16 Correct 5 ms 16988 KB Output is correct
17 Correct 5 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 4 ms 16988 KB Output is correct
21 Correct 4 ms 16988 KB Output is correct
22 Correct 5 ms 16984 KB Output is correct
23 Correct 5 ms 16988 KB Output is correct
24 Correct 5 ms 16984 KB Output is correct
25 Correct 5 ms 16988 KB Output is correct
26 Correct 4 ms 16988 KB Output is correct
27 Correct 4 ms 17052 KB Output is correct
28 Correct 4 ms 16984 KB Output is correct
29 Correct 4 ms 16984 KB Output is correct
30 Correct 5 ms 16984 KB Output is correct
31 Correct 6 ms 16984 KB Output is correct
32 Correct 4 ms 16988 KB Output is correct
33 Correct 4 ms 16988 KB Output is correct
34 Correct 4 ms 16988 KB Output is correct
35 Correct 5 ms 16988 KB Output is correct
36 Correct 4 ms 16984 KB Output is correct
37 Correct 4 ms 16988 KB Output is correct
38 Correct 5 ms 17088 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 4 ms 16988 KB Output is correct
41 Correct 5 ms 16988 KB Output is correct
42 Correct 5 ms 16988 KB Output is correct
43 Correct 4 ms 17052 KB Output is correct
44 Correct 4 ms 16988 KB Output is correct
45 Correct 5 ms 16988 KB Output is correct
46 Correct 9 ms 17492 KB Output is correct
47 Correct 8 ms 17496 KB Output is correct
48 Correct 8 ms 17384 KB Output is correct
49 Correct 8 ms 17500 KB Output is correct
50 Correct 7 ms 17496 KB Output is correct
51 Correct 7 ms 17500 KB Output is correct
52 Correct 7 ms 17500 KB Output is correct
53 Correct 8 ms 17500 KB Output is correct
54 Correct 7 ms 17500 KB Output is correct
55 Correct 8 ms 17568 KB Output is correct
56 Correct 7 ms 17500 KB Output is correct
57 Correct 9 ms 17240 KB Output is correct
58 Correct 11 ms 17316 KB Output is correct
59 Correct 11 ms 17244 KB Output is correct
60 Correct 10 ms 17244 KB Output is correct
61 Correct 7 ms 17500 KB Output is correct
62 Correct 7 ms 17500 KB Output is correct
63 Correct 6 ms 17508 KB Output is correct
64 Correct 10 ms 17360 KB Output is correct
65 Correct 8 ms 17244 KB Output is correct
66 Correct 11 ms 17244 KB Output is correct
67 Correct 8 ms 17244 KB Output is correct
68 Correct 6 ms 17500 KB Output is correct
69 Correct 6 ms 17500 KB Output is correct
70 Correct 7 ms 17500 KB Output is correct
71 Correct 6 ms 17496 KB Output is correct
72 Correct 9 ms 17240 KB Output is correct
73 Correct 11 ms 17244 KB Output is correct
74 Correct 6 ms 17500 KB Output is correct
75 Correct 7 ms 17308 KB Output is correct
76 Correct 7 ms 17240 KB Output is correct
77 Correct 7 ms 17244 KB Output is correct
78 Correct 6 ms 17244 KB Output is correct
79 Correct 8 ms 17244 KB Output is correct
80 Correct 7 ms 17244 KB Output is correct
81 Correct 8 ms 17240 KB Output is correct
82 Correct 8 ms 17500 KB Output is correct
83 Correct 7 ms 17240 KB Output is correct
84 Correct 6 ms 17240 KB Output is correct
85 Correct 7 ms 17240 KB Output is correct
86 Correct 7 ms 17244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16988 KB Output is correct
2 Correct 4 ms 16984 KB Output is correct
3 Correct 4 ms 17040 KB Output is correct
4 Correct 5 ms 16988 KB Output is correct
5 Correct 4 ms 17056 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 6 ms 17244 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 5 ms 16988 KB Output is correct
11 Correct 4 ms 16988 KB Output is correct
12 Correct 5 ms 16988 KB Output is correct
13 Correct 4 ms 17084 KB Output is correct
14 Correct 5 ms 17112 KB Output is correct
15 Correct 5 ms 16988 KB Output is correct
16 Correct 5 ms 16988 KB Output is correct
17 Correct 5 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 4 ms 16988 KB Output is correct
20 Correct 4 ms 16988 KB Output is correct
21 Correct 4 ms 16988 KB Output is correct
22 Correct 5 ms 16984 KB Output is correct
23 Correct 5 ms 16988 KB Output is correct
24 Correct 5 ms 16984 KB Output is correct
25 Correct 5 ms 16988 KB Output is correct
26 Correct 4 ms 16988 KB Output is correct
27 Correct 4 ms 17052 KB Output is correct
28 Correct 4 ms 16984 KB Output is correct
29 Correct 4 ms 16984 KB Output is correct
30 Correct 5 ms 16984 KB Output is correct
31 Correct 6 ms 16984 KB Output is correct
32 Correct 4 ms 16988 KB Output is correct
33 Correct 4 ms 16988 KB Output is correct
34 Correct 4 ms 16988 KB Output is correct
35 Correct 5 ms 16988 KB Output is correct
36 Correct 4 ms 16984 KB Output is correct
37 Correct 4 ms 16988 KB Output is correct
38 Correct 5 ms 17088 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 4 ms 16988 KB Output is correct
41 Correct 5 ms 16988 KB Output is correct
42 Correct 5 ms 16988 KB Output is correct
43 Correct 4 ms 17052 KB Output is correct
44 Correct 4 ms 16988 KB Output is correct
45 Correct 5 ms 16988 KB Output is correct
46 Correct 9 ms 17492 KB Output is correct
47 Correct 8 ms 17496 KB Output is correct
48 Correct 8 ms 17384 KB Output is correct
49 Correct 8 ms 17500 KB Output is correct
50 Correct 7 ms 17496 KB Output is correct
51 Correct 7 ms 17500 KB Output is correct
52 Correct 7 ms 17500 KB Output is correct
53 Correct 8 ms 17500 KB Output is correct
54 Correct 7 ms 17500 KB Output is correct
55 Correct 8 ms 17568 KB Output is correct
56 Correct 7 ms 17500 KB Output is correct
57 Correct 9 ms 17240 KB Output is correct
58 Correct 11 ms 17316 KB Output is correct
59 Correct 11 ms 17244 KB Output is correct
60 Correct 10 ms 17244 KB Output is correct
61 Correct 7 ms 17500 KB Output is correct
62 Correct 7 ms 17500 KB Output is correct
63 Correct 6 ms 17508 KB Output is correct
64 Correct 10 ms 17360 KB Output is correct
65 Correct 8 ms 17244 KB Output is correct
66 Correct 11 ms 17244 KB Output is correct
67 Correct 8 ms 17244 KB Output is correct
68 Correct 6 ms 17500 KB Output is correct
69 Correct 6 ms 17500 KB Output is correct
70 Correct 7 ms 17500 KB Output is correct
71 Correct 6 ms 17496 KB Output is correct
72 Correct 9 ms 17240 KB Output is correct
73 Correct 11 ms 17244 KB Output is correct
74 Correct 6 ms 17500 KB Output is correct
75 Correct 7 ms 17308 KB Output is correct
76 Correct 7 ms 17240 KB Output is correct
77 Correct 7 ms 17244 KB Output is correct
78 Correct 6 ms 17244 KB Output is correct
79 Correct 8 ms 17244 KB Output is correct
80 Correct 7 ms 17244 KB Output is correct
81 Correct 8 ms 17240 KB Output is correct
82 Correct 8 ms 17500 KB Output is correct
83 Correct 7 ms 17240 KB Output is correct
84 Correct 6 ms 17240 KB Output is correct
85 Correct 7 ms 17240 KB Output is correct
86 Correct 7 ms 17244 KB Output is correct
87 Correct 15 ms 17756 KB Output is correct
88 Correct 42 ms 19408 KB Output is correct
89 Correct 148 ms 25552 KB Output is correct
90 Correct 167 ms 25548 KB Output is correct
91 Correct 144 ms 25540 KB Output is correct
92 Correct 84 ms 31440 KB Output is correct
93 Correct 79 ms 31244 KB Output is correct
94 Correct 94 ms 31292 KB Output is correct
95 Correct 93 ms 31944 KB Output is correct
96 Correct 107 ms 32136 KB Output is correct
97 Correct 88 ms 32108 KB Output is correct
98 Correct 90 ms 32148 KB Output is correct
99 Correct 85 ms 29292 KB Output is correct
100 Correct 187 ms 25148 KB Output is correct
101 Correct 236 ms 25536 KB Output is correct
102 Correct 233 ms 25388 KB Output is correct
103 Correct 213 ms 25360 KB Output is correct
104 Correct 103 ms 29380 KB Output is correct
105 Correct 93 ms 29212 KB Output is correct
106 Correct 90 ms 29072 KB Output is correct
107 Correct 141 ms 24868 KB Output is correct
108 Correct 132 ms 25036 KB Output is correct
109 Correct 140 ms 25236 KB Output is correct
110 Correct 68 ms 30988 KB Output is correct
111 Correct 93 ms 31984 KB Output is correct
112 Correct 76 ms 31492 KB Output is correct
113 Correct 75 ms 28500 KB Output is correct
114 Correct 185 ms 25036 KB Output is correct
115 Correct 208 ms 24732 KB Output is correct
116 Correct 85 ms 28452 KB Output is correct
117 Correct 96 ms 26832 KB Output is correct
118 Correct 105 ms 26324 KB Output is correct
119 Correct 108 ms 25884 KB Output is correct
120 Correct 74 ms 26572 KB Output is correct
121 Correct 78 ms 25968 KB Output is correct
122 Correct 76 ms 25548 KB Output is correct
123 Correct 100 ms 26908 KB Output is correct
124 Correct 95 ms 26196 KB Output is correct
125 Correct 96 ms 25876 KB Output is correct
126 Correct 85 ms 26576 KB Output is correct
127 Correct 84 ms 25916 KB Output is correct
128 Correct 85 ms 25548 KB Output is correct