oj.uz

Submission #709715

# Submission time Handle Problem Language Result Execution time Memory
709715 2023-03-14T08:49:26 Z Radin_Zahedi2 Construction of Highway (JOI18_construction) C++17
16 / 100
 2000 ms 22376 KB 
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
using ll = long long;
using ld = long double;
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define sz(x) (int)x.size()
#define endl '\n'
const int mod = 1e9 + 7;
const int inf = 2e9 + 5;
const ll linf = 9e18 + 5;


int n;
const int N = 1e5 + 5;
vector<int> adj[N];
int c[N];

int a[N];
int b[N];

int len[N];
int up[N];
int par[N];

int dtime = 0;
int st[N];
set<vector<int>> colors;


void dfssort(int u) {
	len[u] = 1;
	for (auto v : adj[u]) {
		dfssort(v);
		len[u] += len[v];
	}

	for (int i = 0; i < sz(adj[u]); i++) {
		if (len[adj[u][0]] < len[adj[u][i]]) {
			swap(adj[u][0], adj[u][i]);
		}
	}
}

void dfsuppar(int u) {
	if (adj[u].empty()) {
		return;
	}

	for (int i = 1; i < sz(adj[u]); i++) {
		int v = adj[u][i];

		up[v] = v;
		par[v] = u;
		dfsuppar(v);
	}
	
	up[adj[u][0]] = up[u];
	par[adj[u][0]] = u;
	dfsuppar(adj[u][0]);
}

void dfsst(int u) {
	st[u] = dtime;
	dtime++;

	for (auto v : adj[u]) {
		dfsst(v);
	}
}

void init() {
}

void input() {
	cin >> n;

	for (int i = 1; i <= n; i++) {
		cin >> c[i];
	}

	for (int i = 1; i < n; i++) {
		cin >> a[i] >> b[i];
	}


	for (int i = 1; i < n; i++) {
		adj[a[i]].pb(b[i]);
	}
}

vector<int> cover(int x) {
	return *prev(colors.upper_bound({x, inf, inf}));
}

void cut(int x) {
	vector<int> v = cover(x);
	colors.erase(v);
	
	colors.insert({v[0], x, v[2]});

	if (v[1] >= x + 1) {
		colors.insert({x + 1, v[1], v[2]});
	}
}

ll mrg(vector<pair<int, int>> &v, int l, int r, int m) {
	ll ans = 0;
	int sum = 0;

	int i = l;
	int j = m + 1;

	int k = 0;
	vector<pair<int, int>> sorted(r - l + 1);

	while (i <= m && j <= r) {
		if (v[i] > v[j]) {
			sorted[k] = v[j];
			sum += v[j].se;

			j++;
			k++;
		}
		else {
			sorted[k] = v[i];
			ans += 1ll * sum * v[i].se;

			i++;
			k++;
		}
	}
	
	while (i <= m) {
		sorted[k] = v[i];
		ans += 1ll * sum * v[i].se;

		i++;
		k++;
	}

	while (j <= r) {
		sorted[k] = v[j];
		sum += v[j].se;

		j++;
		k++;
	}


	for (int i = 0; i < (r - l + 1); i++) {
		v[l + i] = sorted[i];
	}

	return ans;
}

ll calcinvs(vector<pair<int, int>> &v, int l, int r) {
	if (l == r) {
		return 0;
	}

	int m = (l + r) / 2;

	ll ans = 0;
	ans += calcinvs(v, l, m);
	ans += calcinvs(v, m + 1, r);
	ans += mrg(v, l, r, m);

	return ans;
}

ll calc(int vert) {
	vector<pair<int, int>> cols;

	int u = vert;
	while (u) {
		int v = up[u];

		cut(st[v] - 1);
		cut(st[u]);


		int now = st[u];
		while (st[v] <= now) {
			vector<int> vect = cover(now);
			cols.pb(mp(vect[2], vect[1] - vect[0] + 1));
			colors.erase(vect);

			now = vect[0] - 1;
		}

		colors.insert({st[v], st[u], c[vert]});

		u = par[up[u]];
	}


	reverse(cols.begin(), cols.end());

//	return calcinvs(cols, 0, sz(cols) - 1);

	ll ans = 0;
	for (int i = 0; i < sz(cols); i++) {
		for (int j = i + 1; j < sz(cols); j++) {
			if (cols[i].fi > cols[j].fi) {
				ans += 1ll * cols[i].se * cols[j].se;
			}
		}
	}

	return ans;
}

void solve() {
	dfssort(1);
	
	up[1] = 1;
	dfsuppar(1);

	dfsst(1);

	colors.insert({-1, n, inf});
	calc(1);
	for (int i = 1; i < n; i++) {
		cout << calc(b[i]) << endl;
	}
}

void output() {
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	int number_of_testcases = 1;
	//cin >> number_of_testcases;
	while (number_of_testcases--) {
		init();

		input();

		solve();

		output();
	}

	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 4 ms 2644 KB Output is correct
6 Correct 5 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
13 Correct 3 ms 2772 KB Output is correct
14 Correct 3 ms 2680 KB Output is correct
15 Correct 5 ms 2772 KB Output is correct
16 Correct 5 ms 2684 KB Output is correct
17 Correct 4 ms 2772 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2684 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 4 ms 2644 KB Output is correct
23 Correct 4 ms 2676 KB Output is correct
24 Correct 4 ms 2644 KB Output is correct
25 Correct 4 ms 2676 KB Output is correct
26 Correct 3 ms 2684 KB Output is correct
27 Correct 3 ms 2772 KB Output is correct
28 Correct 3 ms 2772 KB Output is correct
29 Correct 3 ms 2644 KB Output is correct
30 Correct 5 ms 2768 KB Output is correct
31 Correct 5 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 3 ms 2680 KB Output is correct
34 Correct 3 ms 2680 KB Output is correct
35 Correct 3 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 3 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 3 ms 2684 KB Output is correct
40 Correct 3 ms 2676 KB Output is correct
41 Correct 3 ms 2644 KB Output is correct
42 Correct 3 ms 2644 KB Output is correct
43 Correct 3 ms 2756 KB Output is correct
44 Correct 3 ms 2644 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 4 ms 2644 KB Output is correct
6 Correct 5 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
13 Correct 3 ms 2772 KB Output is correct
14 Correct 3 ms 2680 KB Output is correct
15 Correct 5 ms 2772 KB Output is correct
16 Correct 5 ms 2684 KB Output is correct
17 Correct 4 ms 2772 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2684 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 4 ms 2644 KB Output is correct
23 Correct 4 ms 2676 KB Output is correct
24 Correct 4 ms 2644 KB Output is correct
25 Correct 4 ms 2676 KB Output is correct
26 Correct 3 ms 2684 KB Output is correct
27 Correct 3 ms 2772 KB Output is correct
28 Correct 3 ms 2772 KB Output is correct
29 Correct 3 ms 2644 KB Output is correct
30 Correct 5 ms 2768 KB Output is correct
31 Correct 5 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 3 ms 2680 KB Output is correct
34 Correct 3 ms 2680 KB Output is correct
35 Correct 3 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 3 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 3 ms 2684 KB Output is correct
40 Correct 3 ms 2676 KB Output is correct
41 Correct 3 ms 2644 KB Output is correct
42 Correct 3 ms 2644 KB Output is correct
43 Correct 3 ms 2756 KB Output is correct
44 Correct 3 ms 2644 KB Output is correct
45 Correct 6 ms 2772 KB Output is correct
46 Correct 24 ms 3112 KB Output is correct
47 Correct 32 ms 3112 KB Output is correct
48 Correct 24 ms 3156 KB Output is correct
49 Correct 7 ms 3140 KB Output is correct
50 Correct 6 ms 3156 KB Output is correct
51 Correct 6 ms 3156 KB Output is correct
52 Correct 12 ms 3412 KB Output is correct
53 Correct 16 ms 3412 KB Output is correct
54 Correct 17 ms 3448 KB Output is correct
55 Correct 16 ms 3480 KB Output is correct
56 Correct 10 ms 3156 KB Output is correct
57 Correct 45 ms 3208 KB Output is correct
58 Correct 40 ms 3216 KB Output is correct
59 Correct 41 ms 3236 KB Output is correct
60 Correct 42 ms 3272 KB Output is correct
61 Correct 10 ms 3156 KB Output is correct
62 Correct 11 ms 3156 KB Output is correct
63 Correct 10 ms 3188 KB Output is correct
64 Correct 24 ms 3156 KB Output is correct
65 Correct 24 ms 3160 KB Output is correct
66 Correct 23 ms 3168 KB Output is correct
67 Correct 27 ms 3148 KB Output is correct
68 Correct 5 ms 3156 KB Output is correct
69 Correct 14 ms 3412 KB Output is correct
70 Correct 15 ms 3412 KB Output is correct
71 Correct 9 ms 3156 KB Output is correct
72 Correct 37 ms 3196 KB Output is correct
73 Correct 39 ms 3236 KB Output is correct
74 Correct 9 ms 3164 KB Output is correct
75 Correct 12 ms 3116 KB Output is correct
76 Correct 12 ms 3140 KB Output is correct
77 Correct 12 ms 3076 KB Output is correct
78 Correct 10 ms 3080 KB Output is correct
79 Correct 12 ms 3124 KB Output is correct
80 Correct 12 ms 3068 KB Output is correct
81 Correct 11 ms 3156 KB Output is correct
82 Correct 13 ms 3160 KB Output is correct
83 Correct 14 ms 3156 KB Output is correct
84 Correct 14 ms 3160 KB Output is correct
85 Correct 12 ms 3076 KB Output is correct
86 Correct 13 ms 3112 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 4 ms 2644 KB Output is correct
6 Correct 5 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
13 Correct 3 ms 2772 KB Output is correct
14 Correct 3 ms 2680 KB Output is correct
15 Correct 5 ms 2772 KB Output is correct
16 Correct 5 ms 2684 KB Output is correct
17 Correct 4 ms 2772 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2684 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 4 ms 2644 KB Output is correct
23 Correct 4 ms 2676 KB Output is correct
24 Correct 4 ms 2644 KB Output is correct
25 Correct 4 ms 2676 KB Output is correct
26 Correct 3 ms 2684 KB Output is correct
27 Correct 3 ms 2772 KB Output is correct
28 Correct 3 ms 2772 KB Output is correct
29 Correct 3 ms 2644 KB Output is correct
30 Correct 5 ms 2768 KB Output is correct
31 Correct 5 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 3 ms 2680 KB Output is correct
34 Correct 3 ms 2680 KB Output is correct
35 Correct 3 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 3 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 3 ms 2684 KB Output is correct
40 Correct 3 ms 2676 KB Output is correct
41 Correct 3 ms 2644 KB Output is correct
42 Correct 3 ms 2644 KB Output is correct
43 Correct 3 ms 2756 KB Output is correct
44 Correct 3 ms 2644 KB Output is correct
45 Correct 6 ms 2772 KB Output is correct
46 Correct 24 ms 3112 KB Output is correct
47 Correct 32 ms 3112 KB Output is correct
48 Correct 24 ms 3156 KB Output is correct
49 Correct 7 ms 3140 KB Output is correct
50 Correct 6 ms 3156 KB Output is correct
51 Correct 6 ms 3156 KB Output is correct
52 Correct 12 ms 3412 KB Output is correct
53 Correct 16 ms 3412 KB Output is correct
54 Correct 17 ms 3448 KB Output is correct
55 Correct 16 ms 3480 KB Output is correct
56 Correct 10 ms 3156 KB Output is correct
57 Correct 45 ms 3208 KB Output is correct
58 Correct 40 ms 3216 KB Output is correct
59 Correct 41 ms 3236 KB Output is correct
60 Correct 42 ms 3272 KB Output is correct
61 Correct 10 ms 3156 KB Output is correct
62 Correct 11 ms 3156 KB Output is correct
63 Correct 10 ms 3188 KB Output is correct
64 Correct 24 ms 3156 KB Output is correct
65 Correct 24 ms 3160 KB Output is correct
66 Correct 23 ms 3168 KB Output is correct
67 Correct 27 ms 3148 KB Output is correct
68 Correct 5 ms 3156 KB Output is correct
69 Correct 14 ms 3412 KB Output is correct
70 Correct 15 ms 3412 KB Output is correct
71 Correct 9 ms 3156 KB Output is correct
72 Correct 37 ms 3196 KB Output is correct
73 Correct 39 ms 3236 KB Output is correct
74 Correct 9 ms 3164 KB Output is correct
75 Correct 12 ms 3116 KB Output is correct
76 Correct 12 ms 3140 KB Output is correct
77 Correct 12 ms 3076 KB Output is correct
78 Correct 10 ms 3080 KB Output is correct
79 Correct 12 ms 3124 KB Output is correct
80 Correct 12 ms 3068 KB Output is correct
81 Correct 11 ms 3156 KB Output is correct
82 Correct 13 ms 3160 KB Output is correct
83 Correct 14 ms 3156 KB Output is correct
84 Correct 14 ms 3160 KB Output is correct
85 Correct 12 ms 3076 KB Output is correct
86 Correct 13 ms 3112 KB Output is correct
87 Correct 67 ms 3876 KB Output is correct
88 Correct 243 ms 6476 KB Output is correct
89 Correct 979 ms 15640 KB Output is correct
90 Correct 982 ms 15712 KB Output is correct
91 Correct 961 ms 15408 KB Output is correct
92 Correct 123 ms 17032 KB Output is correct
93 Correct 139 ms 17040 KB Output is correct
94 Correct 126 ms 16992 KB Output is correct
95 Correct 1349 ms 22068 KB Output is correct
96 Execution timed out 2064 ms 22376 KB Time limit exceeded
97 Halted 0 ms 0 KB -