Submission #44384

# Submission time Handle Problem Language Result Execution time Memory
44384 2018-04-01T11:09:46 Z Bruteforceman Construction of Highway (JOI18_construction) C++11
16 / 100
1000 ms 25656 KB
#include "bits/stdc++.h"
using namespace std;
typedef pair <int, int> pii;
int l[100010], r[100010];
int c[100010];
int n;
vector <int> g[100010];
int sub[100010];
int big[100010];
int head[100010];
int pos[100010];

void dfs(int x) {
	big[x] = -1;
	sub[x] = 1;
	for(auto i : g[x]) {
		dfs(i);
		sub[x] += sub[i];
		if(big[x] == -1 || sub[big[x]] < sub[i]) {
			big[x] = i;
		}
	}
}
int mx[100010 * 4];
int mn[100010 * 4];
int prop[100010 * 4];
int par[100010];
int dp[20][100010];
const int logn = 19;

void pushdown(int c) {
	if(prop[c] == -1) return ;
	int l = c << 1;
	int r = l + 1;
	prop[l] = prop[r] = prop[c];
	mx[l] = mx[r] = prop[c];
	mn[l] = mn[r] = prop[c];
	prop[c] = -1;
}

void update(int x, int y, int val, int c = 1, int b = 1, int e = n) {
	if(x <= b && e <= y) {
		mn[c] = mx[c] = val;
		prop[c] = val;
		return ;
	}
	if(y < b || e < x) return ;
	pushdown(c);

	int m = (b + e) >> 1;
	int l = c << 1;
	int r = l + 1;
	update(x, y, val, l, b, m);
	update(x, y, val, r, m+1, e);
	mn[c] = min(mn[l], mn[r]);
	mx[c] = max(mx[l], mx[r]);
}

int query(int x, int val, int c = 1, int b = 1, int e = n) {
	if(mx[c] == mn[c]) {
		return mx[c] == val ? x - b + 1 : 0;
	}
	if(b == e) return mx[c] == val;
	pushdown(c);
	int m = (b + e) >> 1;
	int l = c << 1;
	int r = l + 1;
	if(x <= m) return query(x, val, l, b, m);
	else {
		int len = query(x, val, r, m + 1, e);
		if(x - m == len) {
			return query(m, val, l, b, m) + len;
		} else {
			return len;
		}
	}
} 
int queryMin(int x, int y, int c = 1, int b = 1, int e = n) {
	if(x <= b && e <= y) return mn[c];
	if(y < b || e < x) return INT_MAX;
	pushdown(c);
	int m = (b + e) >> 1;
	int l = c << 1;
	int r = l + 1;
	return min(queryMin(x, y, l, b, m), queryMin(x, y, r, m+1, e));
}
int queryMax(int x, int y, int c = 1, int b = 1, int e = n) {
	if(x <= b && e <= y) return mx[c];
	if(y < b || e < x) return INT_MIN;
	pushdown(c);
	int m = (b + e) >> 1;
	int l = c << 1;
	int r = l + 1;
	return max(queryMax(x, y, l, b, m), queryMax(x, y, r, m+1, e));
}

int search(int b, int e, int idx) {
	if(b == e) {
		return idx - b + 1;
	}
	int m = (b + e) >> 1;
	if(queryMin(m, idx) == queryMax(m, idx)) return search(b, m, idx);
	else return search(m + 1, e, idx);
}

int get(int x, int c = 1, int b = 1, int e = n) {
	if(b == e) return mx[c];
	pushdown(c);
	int m = (b + e) >> 1;
	int l = c << 1;
	int r = l + 1;
	if(x <= m) return get(x, l, b, m);
	else return get(x, r, m+1, e); 
}

void precalc() {
	memset(prop, -1, sizeof prop);
	int cur = 0;
	for(int i = 1; i <= n; i++) {
		if(par[i] == -1 || big[par[i]] != i) {
			for(int j = i; j != -1; j = big[j]) {
				pos[j] = ++cur;
				head[j] = i;
			}
		}
	}
	for(int i = 1; i <= n; i++) {
		update(pos[i], pos[i], c[i]);
	}
	dp[0][1] = 0;
	for(int i = 2; i <= n; i++) dp[0][i] = par[i];
	for(int i = 1; i <= logn; i++) {
		for(int j = 1; j <= n; j++) {
			dp[i][j] = dp[i - 1][dp[i - 1][j]];
		}
	}
}
void change(int x) {
	int cur = x;
	while(cur != -1) {
		update(pos[head[cur]], pos[cur], c[x]);
		cur = head[cur];
		cur = par[cur];
	}
}

int lift(int node, int up) {
	for(int i = logn; i >= 0; i--) {
		if((1 << i) <= up) {
			node = dp[i][node];
			up -= 1 << i;
		}
	}
	return node;
}

long long inverse(vector <pii> v) {
	long long ans = 0;
	for(int i = 0; i < v.size(); i++) {
		for(int j = i + 1; j < v.size(); j++) {
			if(v[i].first < v[j].first) ans += 1LL * v[i].second * v[j].second;
		}
	}
	return ans;
}
long long getCost(int x) {
	vector <pii> v;
	int cur = par[x];
	while(cur > 0) {
		int val = get(pos[cur]);
		int len = search(pos[head[cur]], pos[cur], pos[cur]); // query(pos[cur], val);
		v.push_back(pii(val, len));
		cur = lift(cur, len);
	} 
	return inverse(v);
} 
int main(int argc, char const *argv[])
{
	scanf("%d", &n);
	for(int i = 1; i <= n; i++) {
		scanf("%d", &c[i]);
	}
	par[1] = -1;
	for(int i = 1; i < n; i++) {
		scanf("%d %d", &l[i], &r[i]);
		g[l[i]].push_back(r[i]);
		par[r[i]] = l[i];
	}
	dfs(1);
	precalc();
	for(int i = 1; i < n; i++) {
		printf("%lld\n", getCost(r[i]));
		change(r[i]);
	}
	return 0;	
}

Compilation message

construction.cpp: In function 'long long int inverse(std::vector<std::pair<int, int> >)':
construction.cpp:159:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < v.size(); i++) {
                 ~~^~~~~~~~~~
construction.cpp:160:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j = i + 1; j < v.size(); j++) {
                      ~~^~~~~~~~~~
construction.cpp: In function 'int main(int, const char**)':
construction.cpp:179:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
  ~~~~~^~~~~~~~~~
construction.cpp:181:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &c[i]);
   ~~~~~^~~~~~~~~~~~~
construction.cpp:185:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &l[i], &r[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 4404 KB Output is correct
2 Correct 5 ms 4456 KB Output is correct
3 Correct 13 ms 4456 KB Output is correct
4 Correct 5 ms 4456 KB Output is correct
5 Correct 7 ms 4564 KB Output is correct
6 Correct 6 ms 4564 KB Output is correct
7 Correct 6 ms 4564 KB Output is correct
8 Correct 6 ms 4608 KB Output is correct
9 Correct 7 ms 4608 KB Output is correct
10 Correct 6 ms 4608 KB Output is correct
11 Correct 7 ms 4608 KB Output is correct
12 Correct 7 ms 4608 KB Output is correct
13 Correct 7 ms 4608 KB Output is correct
14 Correct 7 ms 4616 KB Output is correct
15 Correct 8 ms 4616 KB Output is correct
16 Correct 6 ms 4616 KB Output is correct
17 Correct 6 ms 4632 KB Output is correct
18 Correct 7 ms 4688 KB Output is correct
19 Correct 7 ms 4692 KB Output is correct
20 Correct 7 ms 4692 KB Output is correct
21 Correct 8 ms 4808 KB Output is correct
22 Correct 7 ms 4808 KB Output is correct
23 Correct 6 ms 4808 KB Output is correct
24 Correct 7 ms 4808 KB Output is correct
25 Correct 6 ms 4808 KB Output is correct
26 Correct 6 ms 4808 KB Output is correct
27 Correct 7 ms 4808 KB Output is correct
28 Correct 7 ms 4808 KB Output is correct
29 Correct 7 ms 4808 KB Output is correct
30 Correct 6 ms 4808 KB Output is correct
31 Correct 7 ms 4828 KB Output is correct
32 Correct 8 ms 4828 KB Output is correct
33 Correct 7 ms 4828 KB Output is correct
34 Correct 7 ms 4828 KB Output is correct
35 Correct 7 ms 4828 KB Output is correct
36 Correct 7 ms 4828 KB Output is correct
37 Correct 7 ms 4828 KB Output is correct
38 Correct 7 ms 4828 KB Output is correct
39 Correct 6 ms 4828 KB Output is correct
40 Correct 7 ms 4828 KB Output is correct
41 Correct 7 ms 4828 KB Output is correct
42 Correct 7 ms 4828 KB Output is correct
43 Correct 7 ms 4828 KB Output is correct
44 Correct 7 ms 4828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 4404 KB Output is correct
2 Correct 5 ms 4456 KB Output is correct
3 Correct 13 ms 4456 KB Output is correct
4 Correct 5 ms 4456 KB Output is correct
5 Correct 7 ms 4564 KB Output is correct
6 Correct 6 ms 4564 KB Output is correct
7 Correct 6 ms 4564 KB Output is correct
8 Correct 6 ms 4608 KB Output is correct
9 Correct 7 ms 4608 KB Output is correct
10 Correct 6 ms 4608 KB Output is correct
11 Correct 7 ms 4608 KB Output is correct
12 Correct 7 ms 4608 KB Output is correct
13 Correct 7 ms 4608 KB Output is correct
14 Correct 7 ms 4616 KB Output is correct
15 Correct 8 ms 4616 KB Output is correct
16 Correct 6 ms 4616 KB Output is correct
17 Correct 6 ms 4632 KB Output is correct
18 Correct 7 ms 4688 KB Output is correct
19 Correct 7 ms 4692 KB Output is correct
20 Correct 7 ms 4692 KB Output is correct
21 Correct 8 ms 4808 KB Output is correct
22 Correct 7 ms 4808 KB Output is correct
23 Correct 6 ms 4808 KB Output is correct
24 Correct 7 ms 4808 KB Output is correct
25 Correct 6 ms 4808 KB Output is correct
26 Correct 6 ms 4808 KB Output is correct
27 Correct 7 ms 4808 KB Output is correct
28 Correct 7 ms 4808 KB Output is correct
29 Correct 7 ms 4808 KB Output is correct
30 Correct 6 ms 4808 KB Output is correct
31 Correct 7 ms 4828 KB Output is correct
32 Correct 8 ms 4828 KB Output is correct
33 Correct 7 ms 4828 KB Output is correct
34 Correct 7 ms 4828 KB Output is correct
35 Correct 7 ms 4828 KB Output is correct
36 Correct 7 ms 4828 KB Output is correct
37 Correct 7 ms 4828 KB Output is correct
38 Correct 7 ms 4828 KB Output is correct
39 Correct 6 ms 4828 KB Output is correct
40 Correct 7 ms 4828 KB Output is correct
41 Correct 7 ms 4828 KB Output is correct
42 Correct 7 ms 4828 KB Output is correct
43 Correct 7 ms 4828 KB Output is correct
44 Correct 7 ms 4828 KB Output is correct
45 Correct 8 ms 4828 KB Output is correct
46 Correct 26 ms 5236 KB Output is correct
47 Correct 27 ms 5236 KB Output is correct
48 Correct 23 ms 5284 KB Output is correct
49 Correct 39 ms 5508 KB Output is correct
50 Correct 32 ms 5636 KB Output is correct
51 Correct 30 ms 5636 KB Output is correct
52 Correct 40 ms 5636 KB Output is correct
53 Correct 44 ms 5636 KB Output is correct
54 Correct 41 ms 5636 KB Output is correct
55 Correct 37 ms 5636 KB Output is correct
56 Correct 36 ms 5636 KB Output is correct
57 Correct 34 ms 5636 KB Output is correct
58 Correct 27 ms 5636 KB Output is correct
59 Correct 27 ms 5636 KB Output is correct
60 Correct 33 ms 5636 KB Output is correct
61 Correct 34 ms 5636 KB Output is correct
62 Correct 40 ms 5636 KB Output is correct
63 Correct 33 ms 5636 KB Output is correct
64 Correct 20 ms 5636 KB Output is correct
65 Correct 26 ms 5636 KB Output is correct
66 Correct 23 ms 5636 KB Output is correct
67 Correct 21 ms 5636 KB Output is correct
68 Correct 32 ms 5636 KB Output is correct
69 Correct 36 ms 5636 KB Output is correct
70 Correct 40 ms 5636 KB Output is correct
71 Correct 31 ms 5636 KB Output is correct
72 Correct 33 ms 5636 KB Output is correct
73 Correct 28 ms 5636 KB Output is correct
74 Correct 40 ms 5636 KB Output is correct
75 Correct 30 ms 5636 KB Output is correct
76 Correct 35 ms 5636 KB Output is correct
77 Correct 28 ms 5636 KB Output is correct
78 Correct 32 ms 5636 KB Output is correct
79 Correct 35 ms 5636 KB Output is correct
80 Correct 27 ms 5636 KB Output is correct
81 Correct 49 ms 5636 KB Output is correct
82 Correct 31 ms 5636 KB Output is correct
83 Correct 29 ms 5636 KB Output is correct
84 Correct 34 ms 5636 KB Output is correct
85 Correct 37 ms 5636 KB Output is correct
86 Correct 29 ms 5636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 4404 KB Output is correct
2 Correct 5 ms 4456 KB Output is correct
3 Correct 13 ms 4456 KB Output is correct
4 Correct 5 ms 4456 KB Output is correct
5 Correct 7 ms 4564 KB Output is correct
6 Correct 6 ms 4564 KB Output is correct
7 Correct 6 ms 4564 KB Output is correct
8 Correct 6 ms 4608 KB Output is correct
9 Correct 7 ms 4608 KB Output is correct
10 Correct 6 ms 4608 KB Output is correct
11 Correct 7 ms 4608 KB Output is correct
12 Correct 7 ms 4608 KB Output is correct
13 Correct 7 ms 4608 KB Output is correct
14 Correct 7 ms 4616 KB Output is correct
15 Correct 8 ms 4616 KB Output is correct
16 Correct 6 ms 4616 KB Output is correct
17 Correct 6 ms 4632 KB Output is correct
18 Correct 7 ms 4688 KB Output is correct
19 Correct 7 ms 4692 KB Output is correct
20 Correct 7 ms 4692 KB Output is correct
21 Correct 8 ms 4808 KB Output is correct
22 Correct 7 ms 4808 KB Output is correct
23 Correct 6 ms 4808 KB Output is correct
24 Correct 7 ms 4808 KB Output is correct
25 Correct 6 ms 4808 KB Output is correct
26 Correct 6 ms 4808 KB Output is correct
27 Correct 7 ms 4808 KB Output is correct
28 Correct 7 ms 4808 KB Output is correct
29 Correct 7 ms 4808 KB Output is correct
30 Correct 6 ms 4808 KB Output is correct
31 Correct 7 ms 4828 KB Output is correct
32 Correct 8 ms 4828 KB Output is correct
33 Correct 7 ms 4828 KB Output is correct
34 Correct 7 ms 4828 KB Output is correct
35 Correct 7 ms 4828 KB Output is correct
36 Correct 7 ms 4828 KB Output is correct
37 Correct 7 ms 4828 KB Output is correct
38 Correct 7 ms 4828 KB Output is correct
39 Correct 6 ms 4828 KB Output is correct
40 Correct 7 ms 4828 KB Output is correct
41 Correct 7 ms 4828 KB Output is correct
42 Correct 7 ms 4828 KB Output is correct
43 Correct 7 ms 4828 KB Output is correct
44 Correct 7 ms 4828 KB Output is correct
45 Correct 8 ms 4828 KB Output is correct
46 Correct 26 ms 5236 KB Output is correct
47 Correct 27 ms 5236 KB Output is correct
48 Correct 23 ms 5284 KB Output is correct
49 Correct 39 ms 5508 KB Output is correct
50 Correct 32 ms 5636 KB Output is correct
51 Correct 30 ms 5636 KB Output is correct
52 Correct 40 ms 5636 KB Output is correct
53 Correct 44 ms 5636 KB Output is correct
54 Correct 41 ms 5636 KB Output is correct
55 Correct 37 ms 5636 KB Output is correct
56 Correct 36 ms 5636 KB Output is correct
57 Correct 34 ms 5636 KB Output is correct
58 Correct 27 ms 5636 KB Output is correct
59 Correct 27 ms 5636 KB Output is correct
60 Correct 33 ms 5636 KB Output is correct
61 Correct 34 ms 5636 KB Output is correct
62 Correct 40 ms 5636 KB Output is correct
63 Correct 33 ms 5636 KB Output is correct
64 Correct 20 ms 5636 KB Output is correct
65 Correct 26 ms 5636 KB Output is correct
66 Correct 23 ms 5636 KB Output is correct
67 Correct 21 ms 5636 KB Output is correct
68 Correct 32 ms 5636 KB Output is correct
69 Correct 36 ms 5636 KB Output is correct
70 Correct 40 ms 5636 KB Output is correct
71 Correct 31 ms 5636 KB Output is correct
72 Correct 33 ms 5636 KB Output is correct
73 Correct 28 ms 5636 KB Output is correct
74 Correct 40 ms 5636 KB Output is correct
75 Correct 30 ms 5636 KB Output is correct
76 Correct 35 ms 5636 KB Output is correct
77 Correct 28 ms 5636 KB Output is correct
78 Correct 32 ms 5636 KB Output is correct
79 Correct 35 ms 5636 KB Output is correct
80 Correct 27 ms 5636 KB Output is correct
81 Correct 49 ms 5636 KB Output is correct
82 Correct 31 ms 5636 KB Output is correct
83 Correct 29 ms 5636 KB Output is correct
84 Correct 34 ms 5636 KB Output is correct
85 Correct 37 ms 5636 KB Output is correct
86 Correct 29 ms 5636 KB Output is correct
87 Correct 59 ms 6188 KB Output is correct
88 Correct 179 ms 9000 KB Output is correct
89 Correct 897 ms 19500 KB Output is correct
90 Correct 883 ms 19500 KB Output is correct
91 Correct 929 ms 19588 KB Output is correct
92 Execution timed out 1086 ms 25656 KB Time limit exceeded
93 Halted 0 ms 0 KB -