oj.uz

Submission #44000

# Submission time Handle Problem Language Result Execution time Memory
44000 2018-03-29T10:15:23 Z zscoder Construction of Highway (JOI18_construction) C++17
100 / 100
 542 ms 187244 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
 
typedef long long ll;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef long double ld; 
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds;
typedef set<ll>::iterator sit;
typedef map<ll,ll>::iterator mit;

int a[111111];
int sz[111111];
int in[111111];
int rin[111111];
int t;
int out[111111];
deque<ii> chain[111111]; //heavy chain starting at vertex u
int nxt[111111];
vi adj[111111];
int par[111111];
int h[111111];

void addtochain(int u, int v)
{
	if(chain[u].empty()) chain[u].pb(mp(v,1));
	else if(chain[u].back().fi==v) chain[u].back().se++;
	else chain[u].pb(mp(v,1));
}

void dfs_sz(int v = 0)
{
    sz[v] = 1;
    for(auto &u: adj[v])
    {
		par[u] = v; h[u] = h[v] + 1;
        dfs_sz(u);
        sz[v] += sz[u];
        if(sz[u] > sz[adj[v][0]])
            swap(u, adj[v][0]);
    }
}

void dfs_hld(int v = 0)
{
    in[v] = t++;
    rin[in[v]] = v;
    for(auto u: adj[v])
    {
        nxt[u] = (u == adj[v][0] ? nxt[v] : u);
        dfs_hld(u);
    }
    out[v] = t;
}

int fen[111111];
int N;

void init(int n)
{
	N=n;
	for(int i=0;i<=N;i++) fen[i]=0;
}

void update(int pos, int v)
{
	pos++;
	for(;pos<=N;pos+=(pos&(-pos)))
	{
		fen[pos]+=v;
	}
}

int query(int pos)
{
	pos++;
	int sum=0;
	for(;pos;pos-=(pos&(-pos)))
	{
		sum+=fen[pos];
	}
	return sum;
}

ll calc_path(int u)
{
	vector<ii> V; vi coord;
	while(u!=-1)
	{
		int nu = nxt[u];
		int siz = h[u] - h[nu] + 1;
		vector<ii> tst;
		//cerr<<"CHAIN : "<<u<<' '<<nu<<'\n';
		for(int i=0;i<chain[nu].size();i++)
		{
			int cnt = chain[nu][i].fi; int v = chain[nu][i].se;
			if(cnt<=siz)
			{
				tst.pb(mp(cnt,v));
				siz-=cnt;
			}
			else
			{
				tst.pb(mp(siz,v));
				break;
			}
		}
		for(int i=int(tst.size())-1;i>=0;i--) 
		{
			V.pb(tst[i]); coord.pb(tst[i].se);
		}
		u=par[nu];
	}
	reverse(V.begin(),V.end());
	sort(coord.begin(),coord.end()); coord.erase(unique(coord.begin(),coord.end()),coord.end());
	//cerr<<coord.size()<<'\n';
	init(int(coord.size()));
	ll ans = 0; ll tot = 0;
	for(ii x:V)
	{
		x.se = lower_bound(coord.begin(),coord.end(),x.se)-coord.begin();
		ans += x.fi*(tot - query(x.se));
		//cerr<<x.fi<<' '<<x.se<<'\n';
		tot+=x.fi;
		update(x.se, x.fi);
	}
	//cerr<<'\n';
	return ans;
}

void addedge(int u, int v)
{
	while(u!=-1)
	{
		int nu = nxt[u];
		int siz = h[u] - h[nu] + 1;
		while(chain[nu].size()>0)
		{
			int cnt = chain[nu][0].fi;
			if(cnt<=siz)
			{
				chain[nu].pop_front();
				siz-=cnt;
			}
			else
			{
				chain[nu].front().fi -= siz;
				break;
			}
		}
		chain[nu].push_front(mp(h[u]-h[nu]+1, v));
		u=par[nu];
	}
}

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	int n; cin>>n;
	for(int i=0;i<n;i++) cin>>a[i];
	nxt[0] = 0; addtochain(0,a[0]);
	vector<ii> edges;
	par[0]=-1;
	for(int i=0;i<n-1;i++)
	{
		int u,v; cin>>u>>v; u--; v--;
		adj[u].pb(v); edges.pb(mp(u,v));
	}
	dfs_sz(); dfs_hld();
	for(int i=0;i<n-1;i++)
	{
		cout<<calc_path(edges[i].fi)<<'\n';
		addedge(edges[i].se, a[edges[i].se]);
		//calc_path(edges[i].fi, edges[i].se);
	}
}

Compilation message

construction.cpp: In function 'll calc_path(int)':
construction.cpp:105:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=0;i<chain[nu].size();i++)
               ~^~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 77816 KB Output is correct
2 Correct 71 ms 78052 KB Output is correct
3 Correct 72 ms 78052 KB Output is correct
4 Correct 74 ms 78240 KB Output is correct
5 Correct 73 ms 78364 KB Output is correct
6 Correct 97 ms 78364 KB Output is correct
7 Correct 74 ms 78364 KB Output is correct
8 Correct 71 ms 78364 KB Output is correct
9 Correct 67 ms 78364 KB Output is correct
10 Correct 71 ms 78364 KB Output is correct
11 Correct 74 ms 78364 KB Output is correct
12 Correct 72 ms 78380 KB Output is correct
13 Correct 127 ms 78428 KB Output is correct
14 Correct 78 ms 78428 KB Output is correct
15 Correct 73 ms 78516 KB Output is correct
16 Correct 76 ms 78604 KB Output is correct
17 Correct 72 ms 78636 KB Output is correct
18 Correct 93 ms 78664 KB Output is correct
19 Correct 73 ms 78664 KB Output is correct
20 Correct 77 ms 78664 KB Output is correct
21 Correct 78 ms 78664 KB Output is correct
22 Correct 78 ms 78768 KB Output is correct
23 Correct 73 ms 78768 KB Output is correct
24 Correct 73 ms 78768 KB Output is correct
25 Correct 73 ms 78768 KB Output is correct
26 Correct 67 ms 78768 KB Output is correct
27 Correct 72 ms 78768 KB Output is correct
28 Correct 73 ms 78768 KB Output is correct
29 Correct 75 ms 78768 KB Output is correct
30 Correct 75 ms 78768 KB Output is correct
31 Correct 75 ms 78788 KB Output is correct
32 Correct 74 ms 78788 KB Output is correct
33 Correct 79 ms 78788 KB Output is correct
34 Correct 78 ms 78788 KB Output is correct
35 Correct 74 ms 78788 KB Output is correct
36 Correct 88 ms 78788 KB Output is correct
37 Correct 75 ms 78788 KB Output is correct
38 Correct 75 ms 78788 KB Output is correct
39 Correct 89 ms 78788 KB Output is correct
40 Correct 78 ms 78788 KB Output is correct
41 Correct 74 ms 78868 KB Output is correct
42 Correct 78 ms 78868 KB Output is correct
43 Correct 74 ms 78868 KB Output is correct
44 Correct 73 ms 78868 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 77816 KB Output is correct
2 Correct 71 ms 78052 KB Output is correct
3 Correct 72 ms 78052 KB Output is correct
4 Correct 74 ms 78240 KB Output is correct
5 Correct 73 ms 78364 KB Output is correct
6 Correct 97 ms 78364 KB Output is correct
7 Correct 74 ms 78364 KB Output is correct
8 Correct 71 ms 78364 KB Output is correct
9 Correct 67 ms 78364 KB Output is correct
10 Correct 71 ms 78364 KB Output is correct
11 Correct 74 ms 78364 KB Output is correct
12 Correct 72 ms 78380 KB Output is correct
13 Correct 127 ms 78428 KB Output is correct
14 Correct 78 ms 78428 KB Output is correct
15 Correct 73 ms 78516 KB Output is correct
16 Correct 76 ms 78604 KB Output is correct
17 Correct 72 ms 78636 KB Output is correct
18 Correct 93 ms 78664 KB Output is correct
19 Correct 73 ms 78664 KB Output is correct
20 Correct 77 ms 78664 KB Output is correct
21 Correct 78 ms 78664 KB Output is correct
22 Correct 78 ms 78768 KB Output is correct
23 Correct 73 ms 78768 KB Output is correct
24 Correct 73 ms 78768 KB Output is correct
25 Correct 73 ms 78768 KB Output is correct
26 Correct 67 ms 78768 KB Output is correct
27 Correct 72 ms 78768 KB Output is correct
28 Correct 73 ms 78768 KB Output is correct
29 Correct 75 ms 78768 KB Output is correct
30 Correct 75 ms 78768 KB Output is correct
31 Correct 75 ms 78788 KB Output is correct
32 Correct 74 ms 78788 KB Output is correct
33 Correct 79 ms 78788 KB Output is correct
34 Correct 78 ms 78788 KB Output is correct
35 Correct 74 ms 78788 KB Output is correct
36 Correct 88 ms 78788 KB Output is correct
37 Correct 75 ms 78788 KB Output is correct
38 Correct 75 ms 78788 KB Output is correct
39 Correct 89 ms 78788 KB Output is correct
40 Correct 78 ms 78788 KB Output is correct
41 Correct 74 ms 78868 KB Output is correct
42 Correct 78 ms 78868 KB Output is correct
43 Correct 74 ms 78868 KB Output is correct
44 Correct 73 ms 78868 KB Output is correct
45 Correct 85 ms 78900 KB Output is correct
46 Correct 83 ms 79944 KB Output is correct
47 Correct 83 ms 80204 KB Output is correct
48 Correct 94 ms 80204 KB Output is correct
49 Correct 71 ms 80204 KB Output is correct
50 Correct 71 ms 80204 KB Output is correct
51 Correct 73 ms 80204 KB Output is correct
52 Correct 86 ms 80564 KB Output is correct
53 Correct 81 ms 80620 KB Output is correct
54 Correct 83 ms 80732 KB Output is correct
55 Correct 78 ms 80900 KB Output is correct
56 Correct 81 ms 80900 KB Output is correct
57 Correct 84 ms 80900 KB Output is correct
58 Correct 90 ms 80980 KB Output is correct
59 Correct 84 ms 80980 KB Output is correct
60 Correct 84 ms 80980 KB Output is correct
61 Correct 80 ms 81236 KB Output is correct
62 Correct 81 ms 81236 KB Output is correct
63 Correct 83 ms 81404 KB Output is correct
64 Correct 82 ms 81404 KB Output is correct
65 Correct 82 ms 81404 KB Output is correct
66 Correct 82 ms 81404 KB Output is correct
67 Correct 85 ms 81456 KB Output is correct
68 Correct 71 ms 81456 KB Output is correct
69 Correct 77 ms 81688 KB Output is correct
70 Correct 79 ms 81748 KB Output is correct
71 Correct 77 ms 81796 KB Output is correct
72 Correct 90 ms 81796 KB Output is correct
73 Correct 86 ms 81796 KB Output is correct
74 Correct 83 ms 81896 KB Output is correct
75 Correct 78 ms 81896 KB Output is correct
76 Correct 83 ms 81936 KB Output is correct
77 Correct 78 ms 81996 KB Output is correct
78 Correct 79 ms 82060 KB Output is correct
79 Correct 79 ms 82108 KB Output is correct
80 Correct 80 ms 82156 KB Output is correct
81 Correct 78 ms 82204 KB Output is correct
82 Correct 82 ms 82272 KB Output is correct
83 Correct 81 ms 82332 KB Output is correct
84 Correct 80 ms 82396 KB Output is correct
85 Correct 77 ms 82444 KB Output is correct
86 Correct 115 ms 82580 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 77816 KB Output is correct
2 Correct 71 ms 78052 KB Output is correct
3 Correct 72 ms 78052 KB Output is correct
4 Correct 74 ms 78240 KB Output is correct
5 Correct 73 ms 78364 KB Output is correct
6 Correct 97 ms 78364 KB Output is correct
7 Correct 74 ms 78364 KB Output is correct
8 Correct 71 ms 78364 KB Output is correct
9 Correct 67 ms 78364 KB Output is correct
10 Correct 71 ms 78364 KB Output is correct
11 Correct 74 ms 78364 KB Output is correct
12 Correct 72 ms 78380 KB Output is correct
13 Correct 127 ms 78428 KB Output is correct
14 Correct 78 ms 78428 KB Output is correct
15 Correct 73 ms 78516 KB Output is correct
16 Correct 76 ms 78604 KB Output is correct
17 Correct 72 ms 78636 KB Output is correct
18 Correct 93 ms 78664 KB Output is correct
19 Correct 73 ms 78664 KB Output is correct
20 Correct 77 ms 78664 KB Output is correct
21 Correct 78 ms 78664 KB Output is correct
22 Correct 78 ms 78768 KB Output is correct
23 Correct 73 ms 78768 KB Output is correct
24 Correct 73 ms 78768 KB Output is correct
25 Correct 73 ms 78768 KB Output is correct
26 Correct 67 ms 78768 KB Output is correct
27 Correct 72 ms 78768 KB Output is correct
28 Correct 73 ms 78768 KB Output is correct
29 Correct 75 ms 78768 KB Output is correct
30 Correct 75 ms 78768 KB Output is correct
31 Correct 75 ms 78788 KB Output is correct
32 Correct 74 ms 78788 KB Output is correct
33 Correct 79 ms 78788 KB Output is correct
34 Correct 78 ms 78788 KB Output is correct
35 Correct 74 ms 78788 KB Output is correct
36 Correct 88 ms 78788 KB Output is correct
37 Correct 75 ms 78788 KB Output is correct
38 Correct 75 ms 78788 KB Output is correct
39 Correct 89 ms 78788 KB Output is correct
40 Correct 78 ms 78788 KB Output is correct
41 Correct 74 ms 78868 KB Output is correct
42 Correct 78 ms 78868 KB Output is correct
43 Correct 74 ms 78868 KB Output is correct
44 Correct 73 ms 78868 KB Output is correct
45 Correct 85 ms 78900 KB Output is correct
46 Correct 83 ms 79944 KB Output is correct
47 Correct 83 ms 80204 KB Output is correct
48 Correct 94 ms 80204 KB Output is correct
49 Correct 71 ms 80204 KB Output is correct
50 Correct 71 ms 80204 KB Output is correct
51 Correct 73 ms 80204 KB Output is correct
52 Correct 86 ms 80564 KB Output is correct
53 Correct 81 ms 80620 KB Output is correct
54 Correct 83 ms 80732 KB Output is correct
55 Correct 78 ms 80900 KB Output is correct
56 Correct 81 ms 80900 KB Output is correct
57 Correct 84 ms 80900 KB Output is correct
58 Correct 90 ms 80980 KB Output is correct
59 Correct 84 ms 80980 KB Output is correct
60 Correct 84 ms 80980 KB Output is correct
61 Correct 80 ms 81236 KB Output is correct
62 Correct 81 ms 81236 KB Output is correct
63 Correct 83 ms 81404 KB Output is correct
64 Correct 82 ms 81404 KB Output is correct
65 Correct 82 ms 81404 KB Output is correct
66 Correct 82 ms 81404 KB Output is correct
67 Correct 85 ms 81456 KB Output is correct
68 Correct 71 ms 81456 KB Output is correct
69 Correct 77 ms 81688 KB Output is correct
70 Correct 79 ms 81748 KB Output is correct
71 Correct 77 ms 81796 KB Output is correct
72 Correct 90 ms 81796 KB Output is correct
73 Correct 86 ms 81796 KB Output is correct
74 Correct 83 ms 81896 KB Output is correct
75 Correct 78 ms 81896 KB Output is correct
76 Correct 83 ms 81936 KB Output is correct
77 Correct 78 ms 81996 KB Output is correct
78 Correct 79 ms 82060 KB Output is correct
79 Correct 79 ms 82108 KB Output is correct
80 Correct 80 ms 82156 KB Output is correct
81 Correct 78 ms 82204 KB Output is correct
82 Correct 82 ms 82272 KB Output is correct
83 Correct 81 ms 82332 KB Output is correct
84 Correct 80 ms 82396 KB Output is correct
85 Correct 77 ms 82444 KB Output is correct
86 Correct 115 ms 82580 KB Output is correct
87 Correct 97 ms 84588 KB Output is correct
88 Correct 159 ms 91564 KB Output is correct
89 Correct 428 ms 115852 KB Output is correct
90 Correct 447 ms 117980 KB Output is correct
91 Correct 428 ms 120100 KB Output is correct
92 Correct 192 ms 120100 KB Output is correct
93 Correct 190 ms 120100 KB Output is correct
94 Correct 242 ms 120100 KB Output is correct
95 Correct 237 ms 132280 KB Output is correct
96 Correct 261 ms 134396 KB Output is correct
97 Correct 251 ms 136508 KB Output is correct
98 Correct 248 ms 138752 KB Output is correct
99 Correct 252 ms 139072 KB Output is correct
100 Correct 453 ms 139072 KB Output is correct
101 Correct 527 ms 139072 KB Output is correct
102 Correct 529 ms 139072 KB Output is correct
103 Correct 542 ms 139072 KB Output is correct
104 Correct 260 ms 149292 KB Output is correct
105 Correct 255 ms 151292 KB Output is correct
106 Correct 260 ms 153400 KB Output is correct
107 Correct 414 ms 153400 KB Output is correct
108 Correct 442 ms 153952 KB Output is correct
109 Correct 429 ms 155792 KB Output is correct
110 Correct 168 ms 155792 KB Output is correct
111 Correct 225 ms 162968 KB Output is correct
112 Correct 245 ms 164304 KB Output is correct
113 Correct 233 ms 164304 KB Output is correct
114 Correct 471 ms 164304 KB Output is correct
115 Correct 521 ms 164304 KB Output is correct
116 Correct 246 ms 168912 KB Output is correct
117 Correct 254 ms 169576 KB Output is correct
118 Correct 290 ms 171128 KB Output is correct
119 Correct 268 ms 172700 KB Output is correct
120 Correct 256 ms 174664 KB Output is correct
121 Correct 260 ms 175916 KB Output is correct
122 Correct 271 ms 177200 KB Output is correct
123 Correct 264 ms 179656 KB Output is correct
124 Correct 278 ms 181132 KB Output is correct
125 Correct 274 ms 182728 KB Output is correct
126 Correct 258 ms 184804 KB Output is correct
127 Correct 254 ms 185924 KB Output is correct
128 Correct 259 ms 187244 KB Output is correct