Submission #309308

# Submission time Handle Problem Language Result Execution time Memory
309308 2020-10-03T07:32:32 Z arnold518 Construction of Highway (JOI18_construction) C++14
100 / 100
423 ms 16496 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;

int N;
vector<int> adj[MAXN+10];
int A[MAXN+10], B[MAXN+10];

int par[MAXN+10], sz[MAXN+10];

void dfs(int now)
{
	sz[now]=1;
	for(int nxt : adj[now])
	{
		dfs(nxt);
		sz[now]+=sz[nxt];
	}
}

int head[MAXN+10], dfn[MAXN+10], idfn[MAXN+10], cnt;

void hld(int now)
{
	dfn[now]=++cnt;
	idfn[dfn[now]]=now;

	int heavy=0;
	for(int nxt : adj[now])
	{
		if(sz[heavy]<sz[nxt]) heavy=nxt;
	}
	if(heavy==0) return;

	head[heavy]=head[now];
	hld(heavy);

	for(int nxt : adj[now])
	{
		if(nxt==heavy) continue;
		head[nxt]=nxt;
		hld(nxt);
	}
}

struct Data
{
	int l, r, v;
};
vector<Data> V[MAXN+10];

vector<int> comp;

struct BIT
{
	int tree[MAXN+10];
	void flush(int i) { for(; i<=N; i+=(i&-i)) tree[i]=0; }
	void update(int i, int x) { for(; i<=N; i+=(i&-i)) tree[i]+=x; }
	int query(int i) { int ret=0; for(; i>0; i-=(i&-i)) ret+=tree[i]; return ret; }
}bit;

int main()
{
	scanf("%d", &N);
	for(int i=1; i<=N; i++) scanf("%d", &A[i]), comp.push_back(A[i]);

	sort(comp.begin(), comp.end());
	comp.erase(unique(comp.begin(), comp.end()), comp.end());
	for(int i=1; i<=N; i++) A[i]=lower_bound(comp.begin(), comp.end(), A[i])-comp.begin()+1;

	for(int i=1; i<N; i++)
	{
		int u, v;
		scanf("%d%d", &u, &v);
		adj[u].push_back(v);
		par[v]=u;
		B[i]=v;
	}

	dfs(1);
	head[1]=1;
	hld(1);

	//printf("DFN\n");
	//for(int i=1; i<=N; i++) printf("%d ", dfn[i]); printf("\n");

	V[1].push_back({1, 1, A[1]});
	for(int i=1; i<N; i++)
	{
		int u=par[B[i]], v=B[i];

		int now=v;
		vector<pii> V2;
		while(1)
		{
			vector<pii> VV;
			while(!V[head[now]].empty() && V[head[now]].back().r<=dfn[now])
			{
				VV.push_back({V[head[now]].back().v, V[head[now]].back().r-V[head[now]].back().l+1});
				V[head[now]].pop_back();
			}
			if(!V[head[now]].empty() && V[head[now]].back().l<=dfn[now])
			{
				VV.push_back({V[head[now]].back().v, dfn[now]-V[head[now]].back().l+1});
				V[head[now]].back().l=dfn[now]+1;
			}
			V[head[now]].push_back({dfn[head[now]], dfn[now], A[v]});
			reverse(VV.begin(), VV.end());
			for(auto it : VV) V2.push_back(it);

			if(head[now]==1) break;
			now=par[head[now]];
		}

		reverse(V2.begin(), V2.end());

		ll ans=0;
		//printf("V2 of %d %d is\n", u, v);
		for(auto it : V2)
		{
			//printf("%d %d\n", it.first, it.second);
			ans+=(ll)it.second*(bit.query(N)-bit.query(it.first));
			bit.update(it.first, it.second);
		}
		for(auto it : V2) bit.flush(it.first);
		printf("%lld\n", ans);
	}
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:95:7: warning: unused variable 'u' [-Wunused-variable]
   95 |   int u=par[B[i]], v=B[i];
      |       ^
construction.cpp:69:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   69 |  scanf("%d", &N);
      |  ~~~~~^~~~~~~~~~
construction.cpp:70:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   70 |  for(int i=1; i<=N; i++) scanf("%d", &A[i]), comp.push_back(A[i]);
      |                          ~~~~~^~~~~~~~~~~~~
construction.cpp:79:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   79 |   scanf("%d%d", &u, &v);
      |   ~~~~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 5 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 4 ms 5120 KB Output is correct
11 Correct 4 ms 5120 KB Output is correct
12 Correct 4 ms 5120 KB Output is correct
13 Correct 4 ms 5120 KB Output is correct
14 Correct 4 ms 5120 KB Output is correct
15 Correct 4 ms 5120 KB Output is correct
16 Correct 4 ms 5120 KB Output is correct
17 Correct 4 ms 5120 KB Output is correct
18 Correct 4 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 4 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 4 ms 5120 KB Output is correct
25 Correct 4 ms 5120 KB Output is correct
26 Correct 4 ms 5120 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 4 ms 5120 KB Output is correct
29 Correct 4 ms 5152 KB Output is correct
30 Correct 4 ms 5120 KB Output is correct
31 Correct 5 ms 5120 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5120 KB Output is correct
35 Correct 4 ms 5120 KB Output is correct
36 Correct 4 ms 5120 KB Output is correct
37 Correct 4 ms 5120 KB Output is correct
38 Correct 4 ms 5120 KB Output is correct
39 Correct 4 ms 5120 KB Output is correct
40 Correct 4 ms 5120 KB Output is correct
41 Correct 4 ms 5120 KB Output is correct
42 Correct 4 ms 5120 KB Output is correct
43 Correct 4 ms 5120 KB Output is correct
44 Correct 4 ms 5120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 5 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 4 ms 5120 KB Output is correct
11 Correct 4 ms 5120 KB Output is correct
12 Correct 4 ms 5120 KB Output is correct
13 Correct 4 ms 5120 KB Output is correct
14 Correct 4 ms 5120 KB Output is correct
15 Correct 4 ms 5120 KB Output is correct
16 Correct 4 ms 5120 KB Output is correct
17 Correct 4 ms 5120 KB Output is correct
18 Correct 4 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 4 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 4 ms 5120 KB Output is correct
25 Correct 4 ms 5120 KB Output is correct
26 Correct 4 ms 5120 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 4 ms 5120 KB Output is correct
29 Correct 4 ms 5152 KB Output is correct
30 Correct 4 ms 5120 KB Output is correct
31 Correct 5 ms 5120 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5120 KB Output is correct
35 Correct 4 ms 5120 KB Output is correct
36 Correct 4 ms 5120 KB Output is correct
37 Correct 4 ms 5120 KB Output is correct
38 Correct 4 ms 5120 KB Output is correct
39 Correct 4 ms 5120 KB Output is correct
40 Correct 4 ms 5120 KB Output is correct
41 Correct 4 ms 5120 KB Output is correct
42 Correct 4 ms 5120 KB Output is correct
43 Correct 4 ms 5120 KB Output is correct
44 Correct 4 ms 5120 KB Output is correct
45 Correct 5 ms 5120 KB Output is correct
46 Correct 10 ms 5376 KB Output is correct
47 Correct 11 ms 5376 KB Output is correct
48 Correct 11 ms 5376 KB Output is correct
49 Correct 8 ms 5504 KB Output is correct
50 Correct 8 ms 5504 KB Output is correct
51 Correct 8 ms 5504 KB Output is correct
52 Correct 8 ms 5504 KB Output is correct
53 Correct 8 ms 5504 KB Output is correct
54 Correct 8 ms 5504 KB Output is correct
55 Correct 8 ms 5504 KB Output is correct
56 Correct 8 ms 5376 KB Output is correct
57 Correct 12 ms 5376 KB Output is correct
58 Correct 13 ms 5376 KB Output is correct
59 Correct 13 ms 5376 KB Output is correct
60 Correct 14 ms 5504 KB Output is correct
61 Correct 10 ms 5376 KB Output is correct
62 Correct 8 ms 5376 KB Output is correct
63 Correct 8 ms 5376 KB Output is correct
64 Correct 9 ms 5376 KB Output is correct
65 Correct 11 ms 5376 KB Output is correct
66 Correct 10 ms 5376 KB Output is correct
67 Correct 10 ms 5376 KB Output is correct
68 Correct 7 ms 5504 KB Output is correct
69 Correct 8 ms 5504 KB Output is correct
70 Correct 7 ms 5504 KB Output is correct
71 Correct 7 ms 5376 KB Output is correct
72 Correct 13 ms 5376 KB Output is correct
73 Correct 13 ms 5376 KB Output is correct
74 Correct 9 ms 5376 KB Output is correct
75 Correct 8 ms 5504 KB Output is correct
76 Correct 8 ms 5376 KB Output is correct
77 Correct 9 ms 5376 KB Output is correct
78 Correct 7 ms 5376 KB Output is correct
79 Correct 8 ms 5376 KB Output is correct
80 Correct 8 ms 5376 KB Output is correct
81 Correct 9 ms 5376 KB Output is correct
82 Correct 9 ms 5376 KB Output is correct
83 Correct 9 ms 5376 KB Output is correct
84 Correct 8 ms 5376 KB Output is correct
85 Correct 8 ms 5376 KB Output is correct
86 Correct 8 ms 5376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 5 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 4 ms 5120 KB Output is correct
11 Correct 4 ms 5120 KB Output is correct
12 Correct 4 ms 5120 KB Output is correct
13 Correct 4 ms 5120 KB Output is correct
14 Correct 4 ms 5120 KB Output is correct
15 Correct 4 ms 5120 KB Output is correct
16 Correct 4 ms 5120 KB Output is correct
17 Correct 4 ms 5120 KB Output is correct
18 Correct 4 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 4 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 4 ms 5120 KB Output is correct
25 Correct 4 ms 5120 KB Output is correct
26 Correct 4 ms 5120 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 4 ms 5120 KB Output is correct
29 Correct 4 ms 5152 KB Output is correct
30 Correct 4 ms 5120 KB Output is correct
31 Correct 5 ms 5120 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5120 KB Output is correct
35 Correct 4 ms 5120 KB Output is correct
36 Correct 4 ms 5120 KB Output is correct
37 Correct 4 ms 5120 KB Output is correct
38 Correct 4 ms 5120 KB Output is correct
39 Correct 4 ms 5120 KB Output is correct
40 Correct 4 ms 5120 KB Output is correct
41 Correct 4 ms 5120 KB Output is correct
42 Correct 4 ms 5120 KB Output is correct
43 Correct 4 ms 5120 KB Output is correct
44 Correct 4 ms 5120 KB Output is correct
45 Correct 5 ms 5120 KB Output is correct
46 Correct 10 ms 5376 KB Output is correct
47 Correct 11 ms 5376 KB Output is correct
48 Correct 11 ms 5376 KB Output is correct
49 Correct 8 ms 5504 KB Output is correct
50 Correct 8 ms 5504 KB Output is correct
51 Correct 8 ms 5504 KB Output is correct
52 Correct 8 ms 5504 KB Output is correct
53 Correct 8 ms 5504 KB Output is correct
54 Correct 8 ms 5504 KB Output is correct
55 Correct 8 ms 5504 KB Output is correct
56 Correct 8 ms 5376 KB Output is correct
57 Correct 12 ms 5376 KB Output is correct
58 Correct 13 ms 5376 KB Output is correct
59 Correct 13 ms 5376 KB Output is correct
60 Correct 14 ms 5504 KB Output is correct
61 Correct 10 ms 5376 KB Output is correct
62 Correct 8 ms 5376 KB Output is correct
63 Correct 8 ms 5376 KB Output is correct
64 Correct 9 ms 5376 KB Output is correct
65 Correct 11 ms 5376 KB Output is correct
66 Correct 10 ms 5376 KB Output is correct
67 Correct 10 ms 5376 KB Output is correct
68 Correct 7 ms 5504 KB Output is correct
69 Correct 8 ms 5504 KB Output is correct
70 Correct 7 ms 5504 KB Output is correct
71 Correct 7 ms 5376 KB Output is correct
72 Correct 13 ms 5376 KB Output is correct
73 Correct 13 ms 5376 KB Output is correct
74 Correct 9 ms 5376 KB Output is correct
75 Correct 8 ms 5504 KB Output is correct
76 Correct 8 ms 5376 KB Output is correct
77 Correct 9 ms 5376 KB Output is correct
78 Correct 7 ms 5376 KB Output is correct
79 Correct 8 ms 5376 KB Output is correct
80 Correct 8 ms 5376 KB Output is correct
81 Correct 9 ms 5376 KB Output is correct
82 Correct 9 ms 5376 KB Output is correct
83 Correct 9 ms 5376 KB Output is correct
84 Correct 8 ms 5376 KB Output is correct
85 Correct 8 ms 5376 KB Output is correct
86 Correct 8 ms 5376 KB Output is correct
87 Correct 24 ms 5760 KB Output is correct
88 Correct 70 ms 7208 KB Output is correct
89 Correct 291 ms 12272 KB Output is correct
90 Correct 286 ms 12396 KB Output is correct
91 Correct 285 ms 12276 KB Output is correct
92 Correct 131 ms 16496 KB Output is correct
93 Correct 133 ms 16496 KB Output is correct
94 Correct 130 ms 16496 KB Output is correct
95 Correct 139 ms 16108 KB Output is correct
96 Correct 145 ms 16108 KB Output is correct
97 Correct 151 ms 16108 KB Output is correct
98 Correct 145 ms 16108 KB Output is correct
99 Correct 153 ms 14448 KB Output is correct
100 Correct 401 ms 12396 KB Output is correct
101 Correct 403 ms 12400 KB Output is correct
102 Correct 420 ms 12400 KB Output is correct
103 Correct 423 ms 12400 KB Output is correct
104 Correct 168 ms 14352 KB Output is correct
105 Correct 163 ms 14316 KB Output is correct
106 Correct 167 ms 14448 KB Output is correct
107 Correct 252 ms 11760 KB Output is correct
108 Correct 254 ms 11888 KB Output is correct
109 Correct 280 ms 12016 KB Output is correct
110 Correct 116 ms 16172 KB Output is correct
111 Correct 145 ms 16108 KB Output is correct
112 Correct 131 ms 15856 KB Output is correct
113 Correct 132 ms 14064 KB Output is correct
114 Correct 389 ms 12400 KB Output is correct
115 Correct 401 ms 12144 KB Output is correct
116 Correct 141 ms 13936 KB Output is correct
117 Correct 159 ms 13168 KB Output is correct
118 Correct 154 ms 12784 KB Output is correct
119 Correct 154 ms 12528 KB Output is correct
120 Correct 140 ms 12656 KB Output is correct
121 Correct 148 ms 12524 KB Output is correct
122 Correct 141 ms 12140 KB Output is correct
123 Correct 171 ms 13192 KB Output is correct
124 Correct 176 ms 12784 KB Output is correct
125 Correct 173 ms 12656 KB Output is correct
126 Correct 165 ms 12784 KB Output is correct
127 Correct 171 ms 12560 KB Output is correct
128 Correct 159 ms 12272 KB Output is correct