oj.uz

Submission #44062

# Submission time Handle Problem Language Result Execution time Memory
44062 2018-03-29T13:23:57 Z cheater2k Construction of Highway (JOI18_construction) C++14
100 / 100
 751 ms 105564 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 100005;

int n, c[N];
vector < pair<int,int> > ed;
vector <int> z; // compression
vector <int> g[N];
int skip[N], par[N], dep[N], nchild[N];

struct data {
	int low; int cnt; int val;
	bool operator < (const data &other) const {
		return low < other.low;
	}
};
deque <data> dq[N]; // (lowest_depth, cnt, val)

void dfs(int u) {
	nchild[u] = 1;
	skip[u] = u;
	for (int &v : g[u]) {
		dep[v] = dep[u] + 1;
		par[v] = u;
		dfs(v);
		nchild[u] += nchild[v];
	}
}

void hld(int u) {
	for (int &v : g[u]) {
		if (nchild[v] * 2 >= nchild[u]) {
			skip[v] = skip[u];
		}
		hld(v);
	}
}

// -----------------------------------------------
// BIT
int T[N];
void upd(int x, int v) { for (; x < N; x += x & -x) T[x] += v; }
int get(int x) { int ret = 0; for (; x > 0; x -= x & -x) ret += T[x]; return ret; }

vector < pair<int,int> > buf;
long long calc_inv(int u) {
	long long ret = 0;

	while(u) {
		int root = skip[u];
		assert(dq[root].size() > 0);
		int pos = upper_bound(dq[root].begin(), dq[root].end(), data({dep[u], 0, 0})) - dq[root].begin() - 1;

		int curdep = dep[u];
		while(pos >= 0) {
			int curcnt = curdep - dq[root][pos].low + 1;
			// get
			ret += 1LL * curcnt * get(dq[root][pos].val - 1);
			// update the current segment to BIT
			upd(dq[root][pos].val, curcnt);
			buf.push_back(make_pair(dq[root][pos].val, curcnt));
			// -> new position
			curdep = dq[root][pos].low - 1;
			--pos;
		}

		u = par[skip[u]];
	}

	// reset
	while(buf.size()) {
		int x = buf.back().first, v = buf.back().second;
		upd(x, -v);
		buf.pop_back();
	}

	return ret;
}

void add(int u) {
	//cerr << "ADD " << u << endl;
	int val = c[u];

	// climb up
	while(u) { // par[1] = 0
		int curdep = dep[u];
		int cnt = 0;
		while(dq[skip[u]].size() > 1 && dq[skip[u]][1].low <= curdep) {
			cnt += dq[skip[u]].front().cnt;
			dq[skip[u]].pop_front();
		}
		if (dq[skip[u]].size()) {
			cnt += curdep - dq[skip[u]][0].low + 1;
			dq[skip[u]][0].cnt -= curdep - dq[skip[u]][0].low + 1;
			dq[skip[u]][0].low = curdep + 1;
			if (dq[skip[u]][0].cnt <= 0) {
				dq[skip[u]].pop_front();
			}
		} else {
			cnt = 1;
		}

		dq[skip[u]].push_front({dep[skip[u]], cnt, val});
		u = par[skip[u]];
	}

	// for (int i = 1; i <= n; ++i) if (i == skip[i] && dq[i].size()) {
	// 	cerr << "dq " << i << endl;
	// 	for (auto &j : dq[i]) cerr << "low " << j.low << " cnt " << j.cnt << " val " << j.val << endl;
	// }
	// cerr << endl << endl;
}

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

	cin >> n;
	for (int i = 1; i <= n; ++i) {
		cin >> c[i];
		z.push_back(c[i]);
	}
	sort(z.begin(), z.end());
	z.erase(unique(z.begin(), z.end()), z.end());

	for (int i = 1; i <= n; ++i) {
		c[i] = lower_bound(z.begin(), z.end(), c[i]) - z.begin() + 1;
	}

	for (int i = 1; i < n; ++i) {
		int u, v; cin >> u >> v;
		ed.push_back(make_pair(u, v));
		g[u].push_back(v);
	}	

	// solve
	dfs(1);
	hld(1);
	// for (int i = 1; i <= n; ++i) {
	// 	cerr << i << ' ' << dep[i] << ' ' << skip[i] << endl;
	// }
	dq[1].push_back({0, 1, c[1]});

	for (auto &e : ed) {
		int u = e.first, v = e.second;
		printf("%lld\n", calc_inv(u));
		add(v);
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 68472 KB Output is correct
2 Correct 78 ms 68712 KB Output is correct
3 Correct 69 ms 68788 KB Output is correct
4 Correct 75 ms 68788 KB Output is correct
5 Correct 73 ms 68840 KB Output is correct
6 Correct 80 ms 68840 KB Output is correct
7 Correct 72 ms 68840 KB Output is correct
8 Correct 65 ms 68840 KB Output is correct
9 Correct 69 ms 68840 KB Output is correct
10 Correct 75 ms 68840 KB Output is correct
11 Correct 100 ms 68880 KB Output is correct
12 Correct 92 ms 68880 KB Output is correct
13 Correct 95 ms 68912 KB Output is correct
14 Correct 79 ms 68932 KB Output is correct
15 Correct 76 ms 68964 KB Output is correct
16 Correct 82 ms 68964 KB Output is correct
17 Correct 101 ms 68964 KB Output is correct
18 Correct 94 ms 68964 KB Output is correct
19 Correct 82 ms 68964 KB Output is correct
20 Correct 78 ms 68964 KB Output is correct
21 Correct 73 ms 68964 KB Output is correct
22 Correct 81 ms 68964 KB Output is correct
23 Correct 78 ms 68964 KB Output is correct
24 Correct 72 ms 68964 KB Output is correct
25 Correct 73 ms 68964 KB Output is correct
26 Correct 65 ms 68964 KB Output is correct
27 Correct 78 ms 68964 KB Output is correct
28 Correct 73 ms 68964 KB Output is correct
29 Correct 74 ms 68992 KB Output is correct
30 Correct 82 ms 69020 KB Output is correct
31 Correct 75 ms 69092 KB Output is correct
32 Correct 73 ms 69092 KB Output is correct
33 Correct 75 ms 69092 KB Output is correct
34 Correct 73 ms 69092 KB Output is correct
35 Correct 77 ms 69092 KB Output is correct
36 Correct 79 ms 69092 KB Output is correct
37 Correct 73 ms 69092 KB Output is correct
38 Correct 72 ms 69092 KB Output is correct
39 Correct 88 ms 69092 KB Output is correct
40 Correct 74 ms 69092 KB Output is correct
41 Correct 82 ms 69092 KB Output is correct
42 Correct 74 ms 69092 KB Output is correct
43 Correct 73 ms 69092 KB Output is correct
44 Correct 73 ms 69092 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 68472 KB Output is correct
2 Correct 78 ms 68712 KB Output is correct
3 Correct 69 ms 68788 KB Output is correct
4 Correct 75 ms 68788 KB Output is correct
5 Correct 73 ms 68840 KB Output is correct
6 Correct 80 ms 68840 KB Output is correct
7 Correct 72 ms 68840 KB Output is correct
8 Correct 65 ms 68840 KB Output is correct
9 Correct 69 ms 68840 KB Output is correct
10 Correct 75 ms 68840 KB Output is correct
11 Correct 100 ms 68880 KB Output is correct
12 Correct 92 ms 68880 KB Output is correct
13 Correct 95 ms 68912 KB Output is correct
14 Correct 79 ms 68932 KB Output is correct
15 Correct 76 ms 68964 KB Output is correct
16 Correct 82 ms 68964 KB Output is correct
17 Correct 101 ms 68964 KB Output is correct
18 Correct 94 ms 68964 KB Output is correct
19 Correct 82 ms 68964 KB Output is correct
20 Correct 78 ms 68964 KB Output is correct
21 Correct 73 ms 68964 KB Output is correct
22 Correct 81 ms 68964 KB Output is correct
23 Correct 78 ms 68964 KB Output is correct
24 Correct 72 ms 68964 KB Output is correct
25 Correct 73 ms 68964 KB Output is correct
26 Correct 65 ms 68964 KB Output is correct
27 Correct 78 ms 68964 KB Output is correct
28 Correct 73 ms 68964 KB Output is correct
29 Correct 74 ms 68992 KB Output is correct
30 Correct 82 ms 69020 KB Output is correct
31 Correct 75 ms 69092 KB Output is correct
32 Correct 73 ms 69092 KB Output is correct
33 Correct 75 ms 69092 KB Output is correct
34 Correct 73 ms 69092 KB Output is correct
35 Correct 77 ms 69092 KB Output is correct
36 Correct 79 ms 69092 KB Output is correct
37 Correct 73 ms 69092 KB Output is correct
38 Correct 72 ms 69092 KB Output is correct
39 Correct 88 ms 69092 KB Output is correct
40 Correct 74 ms 69092 KB Output is correct
41 Correct 82 ms 69092 KB Output is correct
42 Correct 74 ms 69092 KB Output is correct
43 Correct 73 ms 69092 KB Output is correct
44 Correct 73 ms 69092 KB Output is correct
45 Correct 75 ms 69120 KB Output is correct
46 Correct 81 ms 70140 KB Output is correct
47 Correct 85 ms 70332 KB Output is correct
48 Correct 84 ms 70332 KB Output is correct
49 Correct 82 ms 70332 KB Output is correct
50 Correct 70 ms 70332 KB Output is correct
51 Correct 75 ms 70332 KB Output is correct
52 Correct 86 ms 70332 KB Output is correct
53 Correct 81 ms 70332 KB Output is correct
54 Correct 79 ms 70332 KB Output is correct
55 Correct 81 ms 70332 KB Output is correct
56 Correct 107 ms 70332 KB Output is correct
57 Correct 106 ms 70828 KB Output is correct
58 Correct 87 ms 70828 KB Output is correct
59 Correct 92 ms 70828 KB Output is correct
60 Correct 92 ms 70828 KB Output is correct
61 Correct 98 ms 70828 KB Output is correct
62 Correct 79 ms 70828 KB Output is correct
63 Correct 78 ms 70828 KB Output is correct
64 Correct 87 ms 70828 KB Output is correct
65 Correct 84 ms 70828 KB Output is correct
66 Correct 88 ms 70828 KB Output is correct
67 Correct 84 ms 70828 KB Output is correct
68 Correct 69 ms 70828 KB Output is correct
69 Correct 80 ms 70828 KB Output is correct
70 Correct 81 ms 70828 KB Output is correct
71 Correct 79 ms 70828 KB Output is correct
72 Correct 81 ms 70828 KB Output is correct
73 Correct 107 ms 70828 KB Output is correct
74 Correct 85 ms 70828 KB Output is correct
75 Correct 100 ms 70828 KB Output is correct
76 Correct 80 ms 70828 KB Output is correct
77 Correct 94 ms 70828 KB Output is correct
78 Correct 92 ms 70828 KB Output is correct
79 Correct 86 ms 70828 KB Output is correct
80 Correct 78 ms 70828 KB Output is correct
81 Correct 83 ms 70828 KB Output is correct
82 Correct 79 ms 70828 KB Output is correct
83 Correct 79 ms 70828 KB Output is correct
84 Correct 88 ms 70828 KB Output is correct
85 Correct 78 ms 70828 KB Output is correct
86 Correct 71 ms 70828 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 68472 KB Output is correct
2 Correct 78 ms 68712 KB Output is correct
3 Correct 69 ms 68788 KB Output is correct
4 Correct 75 ms 68788 KB Output is correct
5 Correct 73 ms 68840 KB Output is correct
6 Correct 80 ms 68840 KB Output is correct
7 Correct 72 ms 68840 KB Output is correct
8 Correct 65 ms 68840 KB Output is correct
9 Correct 69 ms 68840 KB Output is correct
10 Correct 75 ms 68840 KB Output is correct
11 Correct 100 ms 68880 KB Output is correct
12 Correct 92 ms 68880 KB Output is correct
13 Correct 95 ms 68912 KB Output is correct
14 Correct 79 ms 68932 KB Output is correct
15 Correct 76 ms 68964 KB Output is correct
16 Correct 82 ms 68964 KB Output is correct
17 Correct 101 ms 68964 KB Output is correct
18 Correct 94 ms 68964 KB Output is correct
19 Correct 82 ms 68964 KB Output is correct
20 Correct 78 ms 68964 KB Output is correct
21 Correct 73 ms 68964 KB Output is correct
22 Correct 81 ms 68964 KB Output is correct
23 Correct 78 ms 68964 KB Output is correct
24 Correct 72 ms 68964 KB Output is correct
25 Correct 73 ms 68964 KB Output is correct
26 Correct 65 ms 68964 KB Output is correct
27 Correct 78 ms 68964 KB Output is correct
28 Correct 73 ms 68964 KB Output is correct
29 Correct 74 ms 68992 KB Output is correct
30 Correct 82 ms 69020 KB Output is correct
31 Correct 75 ms 69092 KB Output is correct
32 Correct 73 ms 69092 KB Output is correct
33 Correct 75 ms 69092 KB Output is correct
34 Correct 73 ms 69092 KB Output is correct
35 Correct 77 ms 69092 KB Output is correct
36 Correct 79 ms 69092 KB Output is correct
37 Correct 73 ms 69092 KB Output is correct
38 Correct 72 ms 69092 KB Output is correct
39 Correct 88 ms 69092 KB Output is correct
40 Correct 74 ms 69092 KB Output is correct
41 Correct 82 ms 69092 KB Output is correct
42 Correct 74 ms 69092 KB Output is correct
43 Correct 73 ms 69092 KB Output is correct
44 Correct 73 ms 69092 KB Output is correct
45 Correct 75 ms 69120 KB Output is correct
46 Correct 81 ms 70140 KB Output is correct
47 Correct 85 ms 70332 KB Output is correct
48 Correct 84 ms 70332 KB Output is correct
49 Correct 82 ms 70332 KB Output is correct
50 Correct 70 ms 70332 KB Output is correct
51 Correct 75 ms 70332 KB Output is correct
52 Correct 86 ms 70332 KB Output is correct
53 Correct 81 ms 70332 KB Output is correct
54 Correct 79 ms 70332 KB Output is correct
55 Correct 81 ms 70332 KB Output is correct
56 Correct 107 ms 70332 KB Output is correct
57 Correct 106 ms 70828 KB Output is correct
58 Correct 87 ms 70828 KB Output is correct
59 Correct 92 ms 70828 KB Output is correct
60 Correct 92 ms 70828 KB Output is correct
61 Correct 98 ms 70828 KB Output is correct
62 Correct 79 ms 70828 KB Output is correct
63 Correct 78 ms 70828 KB Output is correct
64 Correct 87 ms 70828 KB Output is correct
65 Correct 84 ms 70828 KB Output is correct
66 Correct 88 ms 70828 KB Output is correct
67 Correct 84 ms 70828 KB Output is correct
68 Correct 69 ms 70828 KB Output is correct
69 Correct 80 ms 70828 KB Output is correct
70 Correct 81 ms 70828 KB Output is correct
71 Correct 79 ms 70828 KB Output is correct
72 Correct 81 ms 70828 KB Output is correct
73 Correct 107 ms 70828 KB Output is correct
74 Correct 85 ms 70828 KB Output is correct
75 Correct 100 ms 70828 KB Output is correct
76 Correct 80 ms 70828 KB Output is correct
77 Correct 94 ms 70828 KB Output is correct
78 Correct 92 ms 70828 KB Output is correct
79 Correct 86 ms 70828 KB Output is correct
80 Correct 78 ms 70828 KB Output is correct
81 Correct 83 ms 70828 KB Output is correct
82 Correct 79 ms 70828 KB Output is correct
83 Correct 79 ms 70828 KB Output is correct
84 Correct 88 ms 70828 KB Output is correct
85 Correct 78 ms 70828 KB Output is correct
86 Correct 71 ms 70828 KB Output is correct
87 Correct 106 ms 72508 KB Output is correct
88 Correct 167 ms 79668 KB Output is correct
89 Correct 513 ms 105036 KB Output is correct
90 Correct 543 ms 105036 KB Output is correct
91 Correct 569 ms 105140 KB Output is correct
92 Correct 174 ms 105140 KB Output is correct
93 Correct 177 ms 105140 KB Output is correct
94 Correct 228 ms 105140 KB Output is correct
95 Correct 261 ms 105140 KB Output is correct
96 Correct 260 ms 105140 KB Output is correct
97 Correct 264 ms 105140 KB Output is correct
98 Correct 261 ms 105140 KB Output is correct
99 Correct 255 ms 105140 KB Output is correct
100 Correct 637 ms 105396 KB Output is correct
101 Correct 751 ms 105424 KB Output is correct
102 Correct 713 ms 105424 KB Output is correct
103 Correct 719 ms 105564 KB Output is correct
104 Correct 278 ms 105564 KB Output is correct
105 Correct 256 ms 105564 KB Output is correct
106 Correct 253 ms 105564 KB Output is correct
107 Correct 413 ms 105564 KB Output is correct
108 Correct 429 ms 105564 KB Output is correct
109 Correct 445 ms 105564 KB Output is correct
110 Correct 158 ms 105564 KB Output is correct
111 Correct 245 ms 105564 KB Output is correct
112 Correct 220 ms 105564 KB Output is correct
113 Correct 215 ms 105564 KB Output is correct
114 Correct 621 ms 105564 KB Output is correct
115 Correct 621 ms 105564 KB Output is correct
116 Correct 217 ms 105564 KB Output is correct
117 Correct 237 ms 105564 KB Output is correct
118 Correct 350 ms 105564 KB Output is correct
119 Correct 248 ms 105564 KB Output is correct
120 Correct 228 ms 105564 KB Output is correct
121 Correct 228 ms 105564 KB Output is correct
122 Correct 228 ms 105564 KB Output is correct
123 Correct 248 ms 105564 KB Output is correct
124 Correct 356 ms 105564 KB Output is correct
125 Correct 249 ms 105564 KB Output is correct
126 Correct 233 ms 105564 KB Output is correct
127 Correct 231 ms 105564 KB Output is correct
128 Correct 234 ms 105564 KB Output is correct