oj.uz

Submission #100440

# Submission time Handle Problem Language Result Execution time Memory
100440 2019-03-11T10:04:53 Z JPN20 Construction of Highway (JOI18_construction) C++17
16 / 100
 2000 ms 20208 KB 
#include <bits/stdc++.h>
using namespace std;

int size_ = 1, rems = 1;
int va[1 << 18], vb[1 << 18], dat[1 << 18];

void inits(int sz) {
	while (size_ <= sz) size_ *= 2;
	
	int cnt = 1;
	for (int i = size_; i >= 1; i /= 2) {
		for (int j = 0; j < size_; j += i) {
			va[cnt] = j;
			vb[cnt] = j + i;
			cnt++;
		}
	}
}
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 query(int l, int r) {
	// 非再帰 RMQ
	int ret = -(1 << 30);
	int vu[4], vp; vu[0] = 1; vp = 1;
	int cu[4], cp;
	
	while (vp >= 1) {
		cp = 0;
		for (int i = 0; i < vp; i++) {
			int vv = vu[i];
			int vl = va[vv], vr = vb[vv], vm = ((vl + vr) >> 1);
			
			// 左側
			if (l <= vl && vm <= r) ret = max(ret, dat[vv << 1]);
			else if (!(vm <= l || r <= vl)) { cu[cp] = vv * 2; cp++; }
			
			// 右側
			if (l <= vm && vr <= r) ret = max(ret, dat[(vv << 1) + 1]);
			else if (!(vr <= l || r <= vm)) { cu[cp] = vv * 2 + 1; cp++; }
		}
		for (int i = 0; i < cp; i++) vu[i] = cu[i];
		vp = cp;
	}
	return ret;
}

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:145:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
construction.cpp:146:36: 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:148:8: 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 3584 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 10 ms 3456 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 9 ms 3584 KB Output is correct
8 Correct 6 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 6 ms 3584 KB Output is correct
11 Correct 9 ms 3584 KB Output is correct
12 Correct 7 ms 3584 KB Output is correct
13 Correct 7 ms 3584 KB Output is correct
14 Correct 8 ms 3584 KB Output is correct
15 Correct 11 ms 3660 KB Output is correct
16 Correct 12 ms 3584 KB Output is correct
17 Correct 11 ms 3584 KB Output is correct
18 Correct 11 ms 3584 KB Output is correct
19 Correct 9 ms 3584 KB Output is correct
20 Correct 11 ms 3584 KB Output is correct
21 Correct 7 ms 3584 KB Output is correct
22 Correct 9 ms 3584 KB Output is correct
23 Correct 11 ms 3584 KB Output is correct
24 Correct 31 ms 3584 KB Output is correct
25 Correct 8 ms 3584 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 7 ms 3584 KB Output is correct
28 Correct 6 ms 3584 KB Output is correct
29 Correct 6 ms 3712 KB Output is correct
30 Correct 17 ms 3712 KB Output is correct
31 Correct 12 ms 3584 KB Output is correct
32 Correct 7 ms 3584 KB Output is correct
33 Correct 6 ms 3584 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 8 ms 3584 KB Output is correct
36 Correct 7 ms 3584 KB Output is correct
37 Correct 7 ms 3584 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 7 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 8 ms 3584 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 7 ms 3584 KB Output is correct
44 Correct 8 ms 3584 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3584 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 10 ms 3456 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 9 ms 3584 KB Output is correct
8 Correct 6 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 6 ms 3584 KB Output is correct
11 Correct 9 ms 3584 KB Output is correct
12 Correct 7 ms 3584 KB Output is correct
13 Correct 7 ms 3584 KB Output is correct
14 Correct 8 ms 3584 KB Output is correct
15 Correct 11 ms 3660 KB Output is correct
16 Correct 12 ms 3584 KB Output is correct
17 Correct 11 ms 3584 KB Output is correct
18 Correct 11 ms 3584 KB Output is correct
19 Correct 9 ms 3584 KB Output is correct
20 Correct 11 ms 3584 KB Output is correct
21 Correct 7 ms 3584 KB Output is correct
22 Correct 9 ms 3584 KB Output is correct
23 Correct 11 ms 3584 KB Output is correct
24 Correct 31 ms 3584 KB Output is correct
25 Correct 8 ms 3584 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 7 ms 3584 KB Output is correct
28 Correct 6 ms 3584 KB Output is correct
29 Correct 6 ms 3712 KB Output is correct
30 Correct 17 ms 3712 KB Output is correct
31 Correct 12 ms 3584 KB Output is correct
32 Correct 7 ms 3584 KB Output is correct
33 Correct 6 ms 3584 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 8 ms 3584 KB Output is correct
36 Correct 7 ms 3584 KB Output is correct
37 Correct 7 ms 3584 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 7 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 8 ms 3584 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 7 ms 3584 KB Output is correct
44 Correct 8 ms 3584 KB Output is correct
45 Correct 13 ms 3584 KB Output is correct
46 Correct 45 ms 4096 KB Output is correct
47 Correct 52 ms 4096 KB Output is correct
48 Correct 84 ms 4216 KB Output is correct
49 Correct 25 ms 4308 KB Output is correct
50 Correct 27 ms 4352 KB Output is correct
51 Correct 27 ms 4352 KB Output is correct
52 Correct 28 ms 4328 KB Output is correct
53 Correct 27 ms 4224 KB Output is correct
54 Correct 37 ms 4352 KB Output is correct
55 Correct 29 ms 4224 KB Output is correct
56 Correct 28 ms 4220 KB Output is correct
57 Correct 102 ms 4096 KB Output is correct
58 Correct 135 ms 4216 KB Output is correct
59 Correct 119 ms 4188 KB Output is correct
60 Correct 120 ms 4216 KB Output is correct
61 Correct 33 ms 4216 KB Output is correct
62 Correct 36 ms 4224 KB Output is correct
63 Correct 34 ms 4224 KB Output is correct
64 Correct 64 ms 4096 KB Output is correct
65 Correct 54 ms 4216 KB Output is correct
66 Correct 62 ms 4096 KB Output is correct
67 Correct 48 ms 4096 KB Output is correct
68 Correct 31 ms 4352 KB Output is correct
69 Correct 30 ms 4224 KB Output is correct
70 Correct 27 ms 4224 KB Output is correct
71 Correct 29 ms 4352 KB Output is correct
72 Correct 98 ms 4096 KB Output is correct
73 Correct 104 ms 4096 KB Output is correct
74 Correct 29 ms 4252 KB Output is correct
75 Correct 26 ms 4216 KB Output is correct
76 Correct 35 ms 4096 KB Output is correct
77 Correct 28 ms 4096 KB Output is correct
78 Correct 34 ms 4216 KB Output is correct
79 Correct 27 ms 4096 KB Output is correct
80 Correct 24 ms 4096 KB Output is correct
81 Correct 31 ms 4096 KB Output is correct
82 Correct 33 ms 4096 KB Output is correct
83 Correct 34 ms 4096 KB Output is correct
84 Correct 34 ms 4096 KB Output is correct
85 Correct 33 ms 4068 KB Output is correct
86 Correct 35 ms 4096 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3584 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 10 ms 3456 KB Output is correct
6 Correct 9 ms 3456 KB Output is correct
7 Correct 9 ms 3584 KB Output is correct
8 Correct 6 ms 3584 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 6 ms 3584 KB Output is correct
11 Correct 9 ms 3584 KB Output is correct
12 Correct 7 ms 3584 KB Output is correct
13 Correct 7 ms 3584 KB Output is correct
14 Correct 8 ms 3584 KB Output is correct
15 Correct 11 ms 3660 KB Output is correct
16 Correct 12 ms 3584 KB Output is correct
17 Correct 11 ms 3584 KB Output is correct
18 Correct 11 ms 3584 KB Output is correct
19 Correct 9 ms 3584 KB Output is correct
20 Correct 11 ms 3584 KB Output is correct
21 Correct 7 ms 3584 KB Output is correct
22 Correct 9 ms 3584 KB Output is correct
23 Correct 11 ms 3584 KB Output is correct
24 Correct 31 ms 3584 KB Output is correct
25 Correct 8 ms 3584 KB Output is correct
26 Correct 6 ms 3584 KB Output is correct
27 Correct 7 ms 3584 KB Output is correct
28 Correct 6 ms 3584 KB Output is correct
29 Correct 6 ms 3712 KB Output is correct
30 Correct 17 ms 3712 KB Output is correct
31 Correct 12 ms 3584 KB Output is correct
32 Correct 7 ms 3584 KB Output is correct
33 Correct 6 ms 3584 KB Output is correct
34 Correct 7 ms 3584 KB Output is correct
35 Correct 8 ms 3584 KB Output is correct
36 Correct 7 ms 3584 KB Output is correct
37 Correct 7 ms 3584 KB Output is correct
38 Correct 7 ms 3584 KB Output is correct
39 Correct 7 ms 3584 KB Output is correct
40 Correct 8 ms 3584 KB Output is correct
41 Correct 8 ms 3584 KB Output is correct
42 Correct 7 ms 3584 KB Output is correct
43 Correct 7 ms 3584 KB Output is correct
44 Correct 8 ms 3584 KB Output is correct
45 Correct 13 ms 3584 KB Output is correct
46 Correct 45 ms 4096 KB Output is correct
47 Correct 52 ms 4096 KB Output is correct
48 Correct 84 ms 4216 KB Output is correct
49 Correct 25 ms 4308 KB Output is correct
50 Correct 27 ms 4352 KB Output is correct
51 Correct 27 ms 4352 KB Output is correct
52 Correct 28 ms 4328 KB Output is correct
53 Correct 27 ms 4224 KB Output is correct
54 Correct 37 ms 4352 KB Output is correct
55 Correct 29 ms 4224 KB Output is correct
56 Correct 28 ms 4220 KB Output is correct
57 Correct 102 ms 4096 KB Output is correct
58 Correct 135 ms 4216 KB Output is correct
59 Correct 119 ms 4188 KB Output is correct
60 Correct 120 ms 4216 KB Output is correct
61 Correct 33 ms 4216 KB Output is correct
62 Correct 36 ms 4224 KB Output is correct
63 Correct 34 ms 4224 KB Output is correct
64 Correct 64 ms 4096 KB Output is correct
65 Correct 54 ms 4216 KB Output is correct
66 Correct 62 ms 4096 KB Output is correct
67 Correct 48 ms 4096 KB Output is correct
68 Correct 31 ms 4352 KB Output is correct
69 Correct 30 ms 4224 KB Output is correct
70 Correct 27 ms 4224 KB Output is correct
71 Correct 29 ms 4352 KB Output is correct
72 Correct 98 ms 4096 KB Output is correct
73 Correct 104 ms 4096 KB Output is correct
74 Correct 29 ms 4252 KB Output is correct
75 Correct 26 ms 4216 KB Output is correct
76 Correct 35 ms 4096 KB Output is correct
77 Correct 28 ms 4096 KB Output is correct
78 Correct 34 ms 4216 KB Output is correct
79 Correct 27 ms 4096 KB Output is correct
80 Correct 24 ms 4096 KB Output is correct
81 Correct 31 ms 4096 KB Output is correct
82 Correct 33 ms 4096 KB Output is correct
83 Correct 34 ms 4096 KB Output is correct
84 Correct 34 ms 4096 KB Output is correct
85 Correct 33 ms 4068 KB Output is correct
86 Correct 35 ms 4096 KB Output is correct
87 Correct 159 ms 5208 KB Output is correct
88 Correct 552 ms 8440 KB Output is correct
89 Execution timed out 2037 ms 20208 KB Time limit exceeded
90 Halted 0 ms 0 KB -