oj.uz

Submission #44063

# Submission time Handle Problem Language Result Execution time Memory
44063 2018-03-29T13:24:59 Z cheater2k Construction of Highway (JOI18_construction) C++14
100 / 100
 706 ms 105428 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) {
	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]];
	}
}

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);
	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 73 ms 68472 KB Output is correct
2 Correct 80 ms 68588 KB Output is correct
3 Correct 62 ms 68656 KB Output is correct
4 Correct 72 ms 68856 KB Output is correct
5 Correct 69 ms 69036 KB Output is correct
6 Correct 90 ms 69040 KB Output is correct
7 Correct 69 ms 69040 KB Output is correct
8 Correct 62 ms 69040 KB Output is correct
9 Correct 60 ms 69040 KB Output is correct
10 Correct 60 ms 69040 KB Output is correct
11 Correct 71 ms 69040 KB Output is correct
12 Correct 71 ms 69040 KB Output is correct
13 Correct 68 ms 69040 KB Output is correct
14 Correct 72 ms 69040 KB Output is correct
15 Correct 66 ms 69040 KB Output is correct
16 Correct 66 ms 69040 KB Output is correct
17 Correct 66 ms 69040 KB Output is correct
18 Correct 67 ms 69040 KB Output is correct
19 Correct 70 ms 69040 KB Output is correct
20 Correct 65 ms 69040 KB Output is correct
21 Correct 68 ms 69040 KB Output is correct
22 Correct 81 ms 69040 KB Output is correct
23 Correct 66 ms 69040 KB Output is correct
24 Correct 66 ms 69040 KB Output is correct
25 Correct 66 ms 69040 KB Output is correct
26 Correct 60 ms 69040 KB Output is correct
27 Correct 65 ms 69040 KB Output is correct
28 Correct 67 ms 69040 KB Output is correct
29 Correct 66 ms 69040 KB Output is correct
30 Correct 65 ms 69040 KB Output is correct
31 Correct 65 ms 69040 KB Output is correct
32 Correct 65 ms 69040 KB Output is correct
33 Correct 73 ms 69040 KB Output is correct
34 Correct 64 ms 69040 KB Output is correct
35 Correct 64 ms 69040 KB Output is correct
36 Correct 66 ms 69040 KB Output is correct
37 Correct 77 ms 69068 KB Output is correct
38 Correct 66 ms 69068 KB Output is correct
39 Correct 65 ms 69068 KB Output is correct
40 Correct 65 ms 69068 KB Output is correct
41 Correct 66 ms 69068 KB Output is correct
42 Correct 66 ms 69068 KB Output is correct
43 Correct 65 ms 69068 KB Output is correct
44 Correct 80 ms 69068 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 68472 KB Output is correct
2 Correct 80 ms 68588 KB Output is correct
3 Correct 62 ms 68656 KB Output is correct
4 Correct 72 ms 68856 KB Output is correct
5 Correct 69 ms 69036 KB Output is correct
6 Correct 90 ms 69040 KB Output is correct
7 Correct 69 ms 69040 KB Output is correct
8 Correct 62 ms 69040 KB Output is correct
9 Correct 60 ms 69040 KB Output is correct
10 Correct 60 ms 69040 KB Output is correct
11 Correct 71 ms 69040 KB Output is correct
12 Correct 71 ms 69040 KB Output is correct
13 Correct 68 ms 69040 KB Output is correct
14 Correct 72 ms 69040 KB Output is correct
15 Correct 66 ms 69040 KB Output is correct
16 Correct 66 ms 69040 KB Output is correct
17 Correct 66 ms 69040 KB Output is correct
18 Correct 67 ms 69040 KB Output is correct
19 Correct 70 ms 69040 KB Output is correct
20 Correct 65 ms 69040 KB Output is correct
21 Correct 68 ms 69040 KB Output is correct
22 Correct 81 ms 69040 KB Output is correct
23 Correct 66 ms 69040 KB Output is correct
24 Correct 66 ms 69040 KB Output is correct
25 Correct 66 ms 69040 KB Output is correct
26 Correct 60 ms 69040 KB Output is correct
27 Correct 65 ms 69040 KB Output is correct
28 Correct 67 ms 69040 KB Output is correct
29 Correct 66 ms 69040 KB Output is correct
30 Correct 65 ms 69040 KB Output is correct
31 Correct 65 ms 69040 KB Output is correct
32 Correct 65 ms 69040 KB Output is correct
33 Correct 73 ms 69040 KB Output is correct
34 Correct 64 ms 69040 KB Output is correct
35 Correct 64 ms 69040 KB Output is correct
36 Correct 66 ms 69040 KB Output is correct
37 Correct 77 ms 69068 KB Output is correct
38 Correct 66 ms 69068 KB Output is correct
39 Correct 65 ms 69068 KB Output is correct
40 Correct 65 ms 69068 KB Output is correct
41 Correct 66 ms 69068 KB Output is correct
42 Correct 66 ms 69068 KB Output is correct
43 Correct 65 ms 69068 KB Output is correct
44 Correct 80 ms 69068 KB Output is correct
45 Correct 68 ms 69244 KB Output is correct
46 Correct 78 ms 70140 KB Output is correct
47 Correct 75 ms 70268 KB Output is correct
48 Correct 76 ms 70268 KB Output is correct
49 Correct 62 ms 70268 KB Output is correct
50 Correct 67 ms 70268 KB Output is correct
51 Correct 62 ms 70268 KB Output is correct
52 Correct 93 ms 70268 KB Output is correct
53 Correct 82 ms 70268 KB Output is correct
54 Correct 73 ms 70268 KB Output is correct
55 Correct 73 ms 70268 KB Output is correct
56 Correct 70 ms 70268 KB Output is correct
57 Correct 83 ms 70828 KB Output is correct
58 Correct 79 ms 70932 KB Output is correct
59 Correct 80 ms 70932 KB Output is correct
60 Correct 79 ms 70932 KB Output is correct
61 Correct 75 ms 70932 KB Output is correct
62 Correct 106 ms 70932 KB Output is correct
63 Correct 73 ms 70932 KB Output is correct
64 Correct 73 ms 70932 KB Output is correct
65 Correct 77 ms 70932 KB Output is correct
66 Correct 73 ms 70932 KB Output is correct
67 Correct 73 ms 70932 KB Output is correct
68 Correct 68 ms 70932 KB Output is correct
69 Correct 74 ms 70932 KB Output is correct
70 Correct 76 ms 70932 KB Output is correct
71 Correct 72 ms 70932 KB Output is correct
72 Correct 79 ms 70932 KB Output is correct
73 Correct 79 ms 70932 KB Output is correct
74 Correct 86 ms 70932 KB Output is correct
75 Correct 69 ms 70932 KB Output is correct
76 Correct 71 ms 70932 KB Output is correct
77 Correct 71 ms 70932 KB Output is correct
78 Correct 70 ms 70932 KB Output is correct
79 Correct 70 ms 70932 KB Output is correct
80 Correct 72 ms 70932 KB Output is correct
81 Correct 84 ms 70932 KB Output is correct
82 Correct 72 ms 70932 KB Output is correct
83 Correct 74 ms 70932 KB Output is correct
84 Correct 69 ms 70932 KB Output is correct
85 Correct 75 ms 70932 KB Output is correct
86 Correct 71 ms 70932 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 68472 KB Output is correct
2 Correct 80 ms 68588 KB Output is correct
3 Correct 62 ms 68656 KB Output is correct
4 Correct 72 ms 68856 KB Output is correct
5 Correct 69 ms 69036 KB Output is correct
6 Correct 90 ms 69040 KB Output is correct
7 Correct 69 ms 69040 KB Output is correct
8 Correct 62 ms 69040 KB Output is correct
9 Correct 60 ms 69040 KB Output is correct
10 Correct 60 ms 69040 KB Output is correct
11 Correct 71 ms 69040 KB Output is correct
12 Correct 71 ms 69040 KB Output is correct
13 Correct 68 ms 69040 KB Output is correct
14 Correct 72 ms 69040 KB Output is correct
15 Correct 66 ms 69040 KB Output is correct
16 Correct 66 ms 69040 KB Output is correct
17 Correct 66 ms 69040 KB Output is correct
18 Correct 67 ms 69040 KB Output is correct
19 Correct 70 ms 69040 KB Output is correct
20 Correct 65 ms 69040 KB Output is correct
21 Correct 68 ms 69040 KB Output is correct
22 Correct 81 ms 69040 KB Output is correct
23 Correct 66 ms 69040 KB Output is correct
24 Correct 66 ms 69040 KB Output is correct
25 Correct 66 ms 69040 KB Output is correct
26 Correct 60 ms 69040 KB Output is correct
27 Correct 65 ms 69040 KB Output is correct
28 Correct 67 ms 69040 KB Output is correct
29 Correct 66 ms 69040 KB Output is correct
30 Correct 65 ms 69040 KB Output is correct
31 Correct 65 ms 69040 KB Output is correct
32 Correct 65 ms 69040 KB Output is correct
33 Correct 73 ms 69040 KB Output is correct
34 Correct 64 ms 69040 KB Output is correct
35 Correct 64 ms 69040 KB Output is correct
36 Correct 66 ms 69040 KB Output is correct
37 Correct 77 ms 69068 KB Output is correct
38 Correct 66 ms 69068 KB Output is correct
39 Correct 65 ms 69068 KB Output is correct
40 Correct 65 ms 69068 KB Output is correct
41 Correct 66 ms 69068 KB Output is correct
42 Correct 66 ms 69068 KB Output is correct
43 Correct 65 ms 69068 KB Output is correct
44 Correct 80 ms 69068 KB Output is correct
45 Correct 68 ms 69244 KB Output is correct
46 Correct 78 ms 70140 KB Output is correct
47 Correct 75 ms 70268 KB Output is correct
48 Correct 76 ms 70268 KB Output is correct
49 Correct 62 ms 70268 KB Output is correct
50 Correct 67 ms 70268 KB Output is correct
51 Correct 62 ms 70268 KB Output is correct
52 Correct 93 ms 70268 KB Output is correct
53 Correct 82 ms 70268 KB Output is correct
54 Correct 73 ms 70268 KB Output is correct
55 Correct 73 ms 70268 KB Output is correct
56 Correct 70 ms 70268 KB Output is correct
57 Correct 83 ms 70828 KB Output is correct
58 Correct 79 ms 70932 KB Output is correct
59 Correct 80 ms 70932 KB Output is correct
60 Correct 79 ms 70932 KB Output is correct
61 Correct 75 ms 70932 KB Output is correct
62 Correct 106 ms 70932 KB Output is correct
63 Correct 73 ms 70932 KB Output is correct
64 Correct 73 ms 70932 KB Output is correct
65 Correct 77 ms 70932 KB Output is correct
66 Correct 73 ms 70932 KB Output is correct
67 Correct 73 ms 70932 KB Output is correct
68 Correct 68 ms 70932 KB Output is correct
69 Correct 74 ms 70932 KB Output is correct
70 Correct 76 ms 70932 KB Output is correct
71 Correct 72 ms 70932 KB Output is correct
72 Correct 79 ms 70932 KB Output is correct
73 Correct 79 ms 70932 KB Output is correct
74 Correct 86 ms 70932 KB Output is correct
75 Correct 69 ms 70932 KB Output is correct
76 Correct 71 ms 70932 KB Output is correct
77 Correct 71 ms 70932 KB Output is correct
78 Correct 70 ms 70932 KB Output is correct
79 Correct 70 ms 70932 KB Output is correct
80 Correct 72 ms 70932 KB Output is correct
81 Correct 84 ms 70932 KB Output is correct
82 Correct 72 ms 70932 KB Output is correct
83 Correct 74 ms 70932 KB Output is correct
84 Correct 69 ms 70932 KB Output is correct
85 Correct 75 ms 70932 KB Output is correct
86 Correct 71 ms 70932 KB Output is correct
87 Correct 96 ms 72380 KB Output is correct
88 Correct 158 ms 79676 KB Output is correct
89 Correct 457 ms 105012 KB Output is correct
90 Correct 455 ms 105012 KB Output is correct
91 Correct 448 ms 105012 KB Output is correct
92 Correct 189 ms 105012 KB Output is correct
93 Correct 211 ms 105012 KB Output is correct
94 Correct 186 ms 105012 KB Output is correct
95 Correct 231 ms 105012 KB Output is correct
96 Correct 235 ms 105012 KB Output is correct
97 Correct 243 ms 105012 KB Output is correct
98 Correct 245 ms 105012 KB Output is correct
99 Correct 257 ms 105012 KB Output is correct
100 Correct 624 ms 105396 KB Output is correct
101 Correct 672 ms 105396 KB Output is correct
102 Correct 661 ms 105396 KB Output is correct
103 Correct 706 ms 105396 KB Output is correct
104 Correct 265 ms 105396 KB Output is correct
105 Correct 242 ms 105396 KB Output is correct
106 Correct 245 ms 105396 KB Output is correct
107 Correct 419 ms 105396 KB Output is correct
108 Correct 405 ms 105396 KB Output is correct
109 Correct 407 ms 105396 KB Output is correct
110 Correct 156 ms 105396 KB Output is correct
111 Correct 232 ms 105396 KB Output is correct
112 Correct 221 ms 105396 KB Output is correct
113 Correct 221 ms 105396 KB Output is correct
114 Correct 585 ms 105428 KB Output is correct
115 Correct 602 ms 105428 KB Output is correct
116 Correct 223 ms 105428 KB Output is correct
117 Correct 239 ms 105428 KB Output is correct
118 Correct 246 ms 105428 KB Output is correct
119 Correct 239 ms 105428 KB Output is correct
120 Correct 223 ms 105428 KB Output is correct
121 Correct 227 ms 105428 KB Output is correct
122 Correct 224 ms 105428 KB Output is correct
123 Correct 238 ms 105428 KB Output is correct
124 Correct 248 ms 105428 KB Output is correct
125 Correct 260 ms 105428 KB Output is correct
126 Correct 247 ms 105428 KB Output is correct
127 Correct 235 ms 105428 KB Output is correct
128 Correct 240 ms 105428 KB Output is correct