oj.uz

Submission #649821

# Submission time Handle Problem Language Result Execution time Memory
649821 2022-10-11T11:20:36 Z ymm Construction of Highway (JOI18_construction) C++17
100 / 100
 226 ms 8728 KB 
#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;

struct node {
	node *path_par;
	node *p;
	node *c[2];
	int live;
	int cnt;
};

bool side(node *v)
{
	assert(v->p);
	return v->p->c[1] == v;
}

void rot(node *v)
{
	assert(v->p);
	node *p = v->p;
	bool s = side(v);
	if (p->p)
		p->p->c[side(p)] = v;
	v->p = p->p;
	if (v->c[!s])
		v->c[!s]->p = p;
	p->c[s] = v->c[!s];
	v->c[!s] = p;
	p->p = v;
	p->cnt -= v->c[s]? 1 + v->c[s]->cnt: 1;
	v->cnt += p->c[!s]? 1 + p->c[!s]->cnt: 1;
	v->live = p->live;
	v->path_par = p->path_par;
}

void splay(node *v)
{
	while (v->p && v->p->p) {
		side(v) == side(v->p)? rot(v->p): rot(v);
		rot(v);
	}
	if (v->p)
		rot(v);
}

void attach_right(node *v, node *r)
{
	assert(!v->c[1]);
	assert(!r->p);
	v->c[1] = r;
	r->p = v;
	v->cnt += r->cnt;
}

void detach_right(node *v)
{
	if (v->c[1]) {
		v->c[1]->p = 0;
		v->c[1]->path_par = v;
		v->cnt -= v->c[1]->cnt;
	}
	v->c[1] = 0;
}

vector<pii> access(node *v)
{
	splay(v);
	detach_right(v);
	vector<pii> ans = {{v->cnt, v->live}};
	while (v->path_par) {
		node *u = v->path_par;
		splay(u);
		detach_right(u);
		ans.push_back({u->cnt, u->live});
		attach_right(u, v);
		splay(v);
	}
	return ans;
}

void link(node *v, node *u)
{
	assert(!v->p && !v->path_par);
	assert(!u->p && !u->path_par && !u->c[0]);
	u->path_par = v->path_par;
	u->cnt += v->cnt;
	u->c[0] = v;
	v->p = u;
	// live will automatically be ok
}

const int N = 100'010;
node nd[N];
int n;

int fen[N];
int fen_get(int r)
{
	int ans = 0;
	while (r > 0) {
		ans += fen[r];
		r -= r & -r;
	}
	return ans;
}
void fen_add(int i, int x)
{
	++i;
	while (i <= n) {
		fen[i] += x;
		i += i & -i;
	}
}

vector<int *> cmper;
void compress()
{
	sort(cmper.begin(),cmper.end(), [](int *x, int *y){return *x<*y;});
	int cnt = 0;
	int lst;
	Loop (i,0,cmper.size()) {
		if (i && lst != *cmper[i])
			++cnt;
		lst = *cmper[i];
		*cmper[i] = cnt;
	}
}

int main()
{
	cin.tie(0) -> sync_with_stdio(false);
	cin >> n;
	Loop (i,0,n) {
		cin >> nd[i].live;
		nd[i].cnt = 1;
		cmper.push_back(&nd[i].live);
	}
	compress();
	Loop (i,1,n) {
		int v, u;
		cin >> v >> u;
		--v; --u;
		auto tmp = access(&nd[v]);
		link(&nd[v], &nd[u]);
		ll ans = 0;
		for (auto [cnt, x] : tmp) {
			ans += (ll)fen_get(x) * cnt;
			fen_add(x, cnt);
		}
		for (auto [cnt, x] : tmp)
			fen_add(x, -cnt);
		cout << ans << '\n';
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 284 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 284 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 348 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 4 ms 596 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 3 ms 596 KB Output is correct
50 Correct 2 ms 600 KB Output is correct
51 Correct 2 ms 596 KB Output is correct
52 Correct 3 ms 596 KB Output is correct
53 Correct 3 ms 596 KB Output is correct
54 Correct 5 ms 596 KB Output is correct
55 Correct 3 ms 596 KB Output is correct
56 Correct 3 ms 648 KB Output is correct
57 Correct 5 ms 596 KB Output is correct
58 Correct 6 ms 604 KB Output is correct
59 Correct 6 ms 596 KB Output is correct
60 Correct 5 ms 596 KB Output is correct
61 Correct 3 ms 596 KB Output is correct
62 Correct 3 ms 596 KB Output is correct
63 Correct 4 ms 596 KB Output is correct
64 Correct 4 ms 596 KB Output is correct
65 Correct 4 ms 596 KB Output is correct
66 Correct 4 ms 596 KB Output is correct
67 Correct 5 ms 596 KB Output is correct
68 Correct 2 ms 596 KB Output is correct
69 Correct 4 ms 600 KB Output is correct
70 Correct 3 ms 600 KB Output is correct
71 Correct 2 ms 596 KB Output is correct
72 Correct 5 ms 596 KB Output is correct
73 Correct 5 ms 596 KB Output is correct
74 Correct 3 ms 560 KB Output is correct
75 Correct 3 ms 596 KB Output is correct
76 Correct 3 ms 596 KB Output is correct
77 Correct 3 ms 596 KB Output is correct
78 Correct 2 ms 632 KB Output is correct
79 Correct 3 ms 596 KB Output is correct
80 Correct 3 ms 600 KB Output is correct
81 Correct 5 ms 596 KB Output is correct
82 Correct 3 ms 596 KB Output is correct
83 Correct 4 ms 596 KB Output is correct
84 Correct 3 ms 596 KB Output is correct
85 Correct 3 ms 560 KB Output is correct
86 Correct 3 ms 596 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 284 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 348 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 4 ms 596 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 3 ms 596 KB Output is correct
50 Correct 2 ms 600 KB Output is correct
51 Correct 2 ms 596 KB Output is correct
52 Correct 3 ms 596 KB Output is correct
53 Correct 3 ms 596 KB Output is correct
54 Correct 5 ms 596 KB Output is correct
55 Correct 3 ms 596 KB Output is correct
56 Correct 3 ms 648 KB Output is correct
57 Correct 5 ms 596 KB Output is correct
58 Correct 6 ms 604 KB Output is correct
59 Correct 6 ms 596 KB Output is correct
60 Correct 5 ms 596 KB Output is correct
61 Correct 3 ms 596 KB Output is correct
62 Correct 3 ms 596 KB Output is correct
63 Correct 4 ms 596 KB Output is correct
64 Correct 4 ms 596 KB Output is correct
65 Correct 4 ms 596 KB Output is correct
66 Correct 4 ms 596 KB Output is correct
67 Correct 5 ms 596 KB Output is correct
68 Correct 2 ms 596 KB Output is correct
69 Correct 4 ms 600 KB Output is correct
70 Correct 3 ms 600 KB Output is correct
71 Correct 2 ms 596 KB Output is correct
72 Correct 5 ms 596 KB Output is correct
73 Correct 5 ms 596 KB Output is correct
74 Correct 3 ms 560 KB Output is correct
75 Correct 3 ms 596 KB Output is correct
76 Correct 3 ms 596 KB Output is correct
77 Correct 3 ms 596 KB Output is correct
78 Correct 2 ms 632 KB Output is correct
79 Correct 3 ms 596 KB Output is correct
80 Correct 3 ms 600 KB Output is correct
81 Correct 5 ms 596 KB Output is correct
82 Correct 3 ms 596 KB Output is correct
83 Correct 4 ms 596 KB Output is correct
84 Correct 3 ms 596 KB Output is correct
85 Correct 3 ms 560 KB Output is correct
86 Correct 3 ms 596 KB Output is correct
87 Correct 11 ms 1108 KB Output is correct
88 Correct 34 ms 2684 KB Output is correct
89 Correct 136 ms 7916 KB Output is correct
90 Correct 169 ms 7840 KB Output is correct
91 Correct 136 ms 8016 KB Output is correct
92 Correct 55 ms 7876 KB Output is correct
93 Correct 56 ms 7756 KB Output is correct
94 Correct 63 ms 7840 KB Output is correct
95 Correct 63 ms 8164 KB Output is correct
96 Correct 63 ms 8596 KB Output is correct
97 Correct 72 ms 8728 KB Output is correct
98 Correct 78 ms 8520 KB Output is correct
99 Correct 80 ms 7992 KB Output is correct
100 Correct 186 ms 7624 KB Output is correct
101 Correct 209 ms 8136 KB Output is correct
102 Correct 226 ms 7924 KB Output is correct
103 Correct 209 ms 8028 KB Output is correct
104 Correct 91 ms 7924 KB Output is correct
105 Correct 114 ms 7912 KB Output is correct
106 Correct 88 ms 7920 KB Output is correct
107 Correct 123 ms 6752 KB Output is correct
108 Correct 119 ms 6852 KB Output is correct
109 Correct 147 ms 7240 KB Output is correct
110 Correct 51 ms 6856 KB Output is correct
111 Correct 78 ms 8140 KB Output is correct
112 Correct 51 ms 7624 KB Output is correct
113 Correct 56 ms 6984 KB Output is correct
114 Correct 200 ms 7672 KB Output is correct
115 Correct 191 ms 6936 KB Output is correct
116 Correct 75 ms 6988 KB Output is correct
117 Correct 64 ms 7700 KB Output is correct
118 Correct 65 ms 7552 KB Output is correct
119 Correct 63 ms 7624 KB Output is correct
120 Correct 62 ms 6804 KB Output is correct
121 Correct 73 ms 6904 KB Output is correct
122 Correct 84 ms 6948 KB Output is correct
123 Correct 97 ms 7624 KB Output is correct
124 Correct 98 ms 7596 KB Output is correct
125 Correct 107 ms 7644 KB Output is correct
126 Correct 87 ms 6960 KB Output is correct
127 Correct 84 ms 7004 KB Output is correct
128 Correct 100 ms 6980 KB Output is correct