oj.uz

Submission #100434

# Submission time Handle Problem Language Result Execution time Memory
100434 2019-03-11T09:35:34 Z JPN20 Construction of Highway (JOI18_construction) C++17
16 / 100
 2000 ms 18364 KB 
#include <bits/stdc++.h>
using namespace std;

vector<int>dat; int size_ = 1, rems = 1;

void inits(int sz) {
	while (size_ <= sz) size_ *= 2;
	dat.resize(size_ * 2, 0);
}
void update(int pos, int x) {
	pos += size_;
	dat[pos] = x;
	
	while (pos >= 2) {
		pos >>= 1;
		dat[pos] = max(dat[pos * 2], dat[pos * 2 + 1]);
	}
}

int l, r;

int query_(int a, int b, int u) {
	if (l <= a && b <= r) return dat[u];
	if (b <= l || r <= a) return -(1 << 30);
	
	int s1 = query_(a, (a + b) >> 1, u * 2);
	int s2 = query_((a + b) >> 1, b, u * 2 + 1);
	return max(s1, s2);
}
int query(int ll, int rr) {
	l = ll; r = rr;
	return query_(0, size_, 1);
}

class BIT {
	public:
	vector<int>bit; int size1_;
	
	void init(int sz) {
		size1_ = sz + 2;
		bit.resize(size1_ + 1, 0);
	}
	void add(int pos, int x) {
		pos++;
		while (pos <= size1_) {
			bit[pos] += x; pos += (pos & -pos);
		}
	}
	int sum(int pos) {
		int s = 0; pos++;
		while (pos >= 1) {
			s += bit[pos]; pos -= (pos & -pos);
		}
		return s;
	}
};

long long check_inversions(vector<pair<int, int>> vec) {
	vector<int> A;
	for (int i = 0; i < (int)vec.size(); i++) A.push_back(vec[i].first);
	
	sort(A.begin(), A.end());
	A.erase(unique(A.begin(), A.end()), A.end());
	for (int i = 0; i < (int)vec.size(); i++) vec[i].first = lower_bound(A.begin(), A.end(), vec[i].first) - A.begin();
	
	BIT Z; Z.init(A.size() + 1);
	
	long long ans = 0;
	for (int i = 0; i < (int)vec.size(); i++) {
		ans += 1LL * vec[i].second * (Z.sum(A.size()) - Z.sum(vec[i].first));
		Z.add(vec[i].first, vec[i].second);
	}
	return ans;
}

int N, C[1 << 17], A[1 << 17], B[1 << 17], dist[1 << 17], dp[1 << 17][20];
int cl[1 << 17], cr[1 << 17], cnts;
vector<int> X[1 << 17];

void dfs(int pos, int dep) {
	cnts++; cl[pos] = cnts; dist[pos] = dep;
	for (int i = 0; i < (int)X[pos].size(); i++) {
		if (dist[X[pos][i]] != -1) continue;
		dp[X[pos][i]][0] = pos;
		dfs(X[pos][i], dep + 1);
	}
	cr[pos] = cnts;
}

int prevs(int pos, int x) {
	for (int i = 19; i >= 0; i--) {
		if (x >= (1 << i)) { x -= (1 << i); pos = dp[pos][i]; }
	}
	if (pos == 0) pos = 1;
	return pos;
}

vector<pair<int, int>> get_inverse(int pos) {
	vector<pair<int, int>> U;
	while (true) {
		// Binary Search.
		int L = 0, R = dist[pos] + 1, M, maxn = (1 << 30);
		int E = query(cl[pos], cr[pos] + 1);
		
		for (int i = 0; i < 18; i++) {
			M = (L + R) / 2;
			int G = prevs(pos, M);
			int P = query(cl[G], cr[G] + 1); //cout << "query(" << G << ") = " << P << endl;
			if (E != P) { maxn = min(maxn, M); R = M; }
			else { L = M; }
		}
		
		if (maxn == (1 << 30)) { U.push_back(make_pair(C[B[E]], dist[pos] + 1)); break; }
		U.push_back(make_pair(C[B[E]], maxn));
		pos = prevs(pos, maxn);
		
		rems++;
		assert(rems <= 500000);
	}
	reverse(U.begin(), U.end());
	return U;
}

int main() {
	scanf("%d", &N);
	for (int i = 1; i <= N; i++) scanf("%d", &C[i]);
	for (int i = 1; i <= N - 1; i++) {
		scanf("%d%d", &A[i], &B[i]);
		X[A[i]].push_back(B[i]);
		X[B[i]].push_back(A[i]);
	}
	
	for (int i = 1; i <= N; i++) dist[i] = -1;
	dfs(1, 0);
	
	for (int i = 0; i < 19; i++) {
		for (int j = 1; j <= N; j++) dp[j][i + 1] = dp[dp[j][i]][i];
	}
	
	//for (int i = 1; i <= N; i++) cout << i << ": cl = " << cl[i] << ", cr = " << cr[i] << endl;
	
	inits(N + 2); update(cl[1], 0);
	for (int i = 1; i <= N - 1; i++) {
		vector<pair<int, int>> T = get_inverse(A[i]);
		
		printf("%lld\n", check_inversions(T));
		update(cl[B[i]], i);
	}
	return 0;
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:125:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
construction.cpp:126:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for (int i = 1; i <= N; i++) scanf("%d", &C[i]);
                               ~~~~~^~~~~~~~~~~~~
construction.cpp:128:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", &A[i], &B[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3456 KB Output is correct
2 Correct 5 ms 3456 KB Output is correct
3 Correct 5 ms 3456 KB Output is correct
4 Correct 6 ms 3456 KB Output is correct
5 Correct 8 ms 3584 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 8 ms 3584 KB Output is correct
8 Correct 7 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 7 ms 3584 KB Output is correct
11 Correct 7 ms 3584 KB Output is correct
12 Correct 8 ms 3584 KB Output is correct
13 Correct 10 ms 3584 KB Output is correct
14 Correct 8 ms 3456 KB Output is correct
15 Correct 15 ms 3584 KB Output is correct
16 Correct 14 ms 3584 KB Output is correct
17 Correct 15 ms 3456 KB Output is correct
18 Correct 12 ms 3456 KB Output is correct
19 Correct 8 ms 3564 KB Output is correct
20 Correct 8 ms 3584 KB Output is correct
21 Correct 8 ms 3456 KB Output is correct
22 Correct 10 ms 3456 KB Output is correct
23 Correct 9 ms 3584 KB Output is correct
24 Correct 10 ms 3456 KB Output is correct
25 Correct 11 ms 3712 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 8 ms 3584 KB Output is correct
28 Correct 9 ms 3584 KB Output is correct
29 Correct 9 ms 3584 KB Output is correct
30 Correct 15 ms 3732 KB Output is correct
31 Correct 14 ms 3456 KB Output is correct
32 Correct 10 ms 3456 KB Output is correct
33 Correct 8 ms 3572 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 7 ms 3456 KB Output is correct
36 Correct 7 ms 3456 KB Output is correct
37 Correct 7 ms 3556 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 8 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 7 ms 3532 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 9 ms 3584 KB Output is correct
44 Correct 10 ms 3584 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3456 KB Output is correct
2 Correct 5 ms 3456 KB Output is correct
3 Correct 5 ms 3456 KB Output is correct
4 Correct 6 ms 3456 KB Output is correct
5 Correct 8 ms 3584 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 8 ms 3584 KB Output is correct
8 Correct 7 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 7 ms 3584 KB Output is correct
11 Correct 7 ms 3584 KB Output is correct
12 Correct 8 ms 3584 KB Output is correct
13 Correct 10 ms 3584 KB Output is correct
14 Correct 8 ms 3456 KB Output is correct
15 Correct 15 ms 3584 KB Output is correct
16 Correct 14 ms 3584 KB Output is correct
17 Correct 15 ms 3456 KB Output is correct
18 Correct 12 ms 3456 KB Output is correct
19 Correct 8 ms 3564 KB Output is correct
20 Correct 8 ms 3584 KB Output is correct
21 Correct 8 ms 3456 KB Output is correct
22 Correct 10 ms 3456 KB Output is correct
23 Correct 9 ms 3584 KB Output is correct
24 Correct 10 ms 3456 KB Output is correct
25 Correct 11 ms 3712 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 8 ms 3584 KB Output is correct
28 Correct 9 ms 3584 KB Output is correct
29 Correct 9 ms 3584 KB Output is correct
30 Correct 15 ms 3732 KB Output is correct
31 Correct 14 ms 3456 KB Output is correct
32 Correct 10 ms 3456 KB Output is correct
33 Correct 8 ms 3572 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 7 ms 3456 KB Output is correct
36 Correct 7 ms 3456 KB Output is correct
37 Correct 7 ms 3556 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 8 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 7 ms 3532 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 9 ms 3584 KB Output is correct
44 Correct 10 ms 3584 KB Output is correct
45 Correct 16 ms 3584 KB Output is correct
46 Correct 53 ms 4088 KB Output is correct
47 Correct 58 ms 4088 KB Output is correct
48 Correct 57 ms 4096 KB Output is correct
49 Correct 24 ms 4224 KB Output is correct
50 Correct 22 ms 4224 KB Output is correct
51 Correct 23 ms 4224 KB Output is correct
52 Correct 31 ms 4216 KB Output is correct
53 Correct 31 ms 4176 KB Output is correct
54 Correct 33 ms 4216 KB Output is correct
55 Correct 34 ms 4096 KB Output is correct
56 Correct 31 ms 4096 KB Output is correct
57 Correct 129 ms 4092 KB Output is correct
58 Correct 113 ms 4088 KB Output is correct
59 Correct 130 ms 4056 KB Output is correct
60 Correct 144 ms 4096 KB Output is correct
61 Correct 38 ms 4224 KB Output is correct
62 Correct 36 ms 4096 KB Output is correct
63 Correct 36 ms 4096 KB Output is correct
64 Correct 60 ms 4096 KB Output is correct
65 Correct 62 ms 3968 KB Output is correct
66 Correct 61 ms 3968 KB Output is correct
67 Correct 53 ms 3968 KB Output is correct
68 Correct 21 ms 4224 KB Output is correct
69 Correct 34 ms 4352 KB Output is correct
70 Correct 33 ms 4096 KB Output is correct
71 Correct 32 ms 4096 KB Output is correct
72 Correct 134 ms 3968 KB Output is correct
73 Correct 172 ms 4064 KB Output is correct
74 Correct 42 ms 4216 KB Output is correct
75 Correct 38 ms 4096 KB Output is correct
76 Correct 30 ms 4088 KB Output is correct
77 Correct 28 ms 4096 KB Output is correct
78 Correct 32 ms 4096 KB Output is correct
79 Correct 35 ms 4072 KB Output is correct
80 Correct 30 ms 3968 KB Output is correct
81 Correct 37 ms 4088 KB Output is correct
82 Correct 38 ms 3968 KB Output is correct
83 Correct 38 ms 3968 KB Output is correct
84 Correct 33 ms 4096 KB Output is correct
85 Correct 35 ms 4096 KB Output is correct
86 Correct 41 ms 3968 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3456 KB Output is correct
2 Correct 5 ms 3456 KB Output is correct
3 Correct 5 ms 3456 KB Output is correct
4 Correct 6 ms 3456 KB Output is correct
5 Correct 8 ms 3584 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 8 ms 3584 KB Output is correct
8 Correct 7 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 7 ms 3584 KB Output is correct
11 Correct 7 ms 3584 KB Output is correct
12 Correct 8 ms 3584 KB Output is correct
13 Correct 10 ms 3584 KB Output is correct
14 Correct 8 ms 3456 KB Output is correct
15 Correct 15 ms 3584 KB Output is correct
16 Correct 14 ms 3584 KB Output is correct
17 Correct 15 ms 3456 KB Output is correct
18 Correct 12 ms 3456 KB Output is correct
19 Correct 8 ms 3564 KB Output is correct
20 Correct 8 ms 3584 KB Output is correct
21 Correct 8 ms 3456 KB Output is correct
22 Correct 10 ms 3456 KB Output is correct
23 Correct 9 ms 3584 KB Output is correct
24 Correct 10 ms 3456 KB Output is correct
25 Correct 11 ms 3712 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 8 ms 3584 KB Output is correct
28 Correct 9 ms 3584 KB Output is correct
29 Correct 9 ms 3584 KB Output is correct
30 Correct 15 ms 3732 KB Output is correct
31 Correct 14 ms 3456 KB Output is correct
32 Correct 10 ms 3456 KB Output is correct
33 Correct 8 ms 3572 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 7 ms 3456 KB Output is correct
36 Correct 7 ms 3456 KB Output is correct
37 Correct 7 ms 3556 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 8 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 7 ms 3532 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 9 ms 3584 KB Output is correct
44 Correct 10 ms 3584 KB Output is correct
45 Correct 16 ms 3584 KB Output is correct
46 Correct 53 ms 4088 KB Output is correct
47 Correct 58 ms 4088 KB Output is correct
48 Correct 57 ms 4096 KB Output is correct
49 Correct 24 ms 4224 KB Output is correct
50 Correct 22 ms 4224 KB Output is correct
51 Correct 23 ms 4224 KB Output is correct
52 Correct 31 ms 4216 KB Output is correct
53 Correct 31 ms 4176 KB Output is correct
54 Correct 33 ms 4216 KB Output is correct
55 Correct 34 ms 4096 KB Output is correct
56 Correct 31 ms 4096 KB Output is correct
57 Correct 129 ms 4092 KB Output is correct
58 Correct 113 ms 4088 KB Output is correct
59 Correct 130 ms 4056 KB Output is correct
60 Correct 144 ms 4096 KB Output is correct
61 Correct 38 ms 4224 KB Output is correct
62 Correct 36 ms 4096 KB Output is correct
63 Correct 36 ms 4096 KB Output is correct
64 Correct 60 ms 4096 KB Output is correct
65 Correct 62 ms 3968 KB Output is correct
66 Correct 61 ms 3968 KB Output is correct
67 Correct 53 ms 3968 KB Output is correct
68 Correct 21 ms 4224 KB Output is correct
69 Correct 34 ms 4352 KB Output is correct
70 Correct 33 ms 4096 KB Output is correct
71 Correct 32 ms 4096 KB Output is correct
72 Correct 134 ms 3968 KB Output is correct
73 Correct 172 ms 4064 KB Output is correct
74 Correct 42 ms 4216 KB Output is correct
75 Correct 38 ms 4096 KB Output is correct
76 Correct 30 ms 4088 KB Output is correct
77 Correct 28 ms 4096 KB Output is correct
78 Correct 32 ms 4096 KB Output is correct
79 Correct 35 ms 4072 KB Output is correct
80 Correct 30 ms 3968 KB Output is correct
81 Correct 37 ms 4088 KB Output is correct
82 Correct 38 ms 3968 KB Output is correct
83 Correct 38 ms 3968 KB Output is correct
84 Correct 33 ms 4096 KB Output is correct
85 Correct 35 ms 4096 KB Output is correct
86 Correct 41 ms 3968 KB Output is correct
87 Correct 170 ms 4968 KB Output is correct
88 Correct 606 ms 7932 KB Output is correct
89 Execution timed out 2039 ms 18364 KB Time limit exceeded
90 Halted 0 ms 0 KB -