Submission #991495

# Submission time Handle Problem Language Result Execution time Memory
991495 2024-06-02T10:31:43 Z 12345678 Construction of Highway (JOI18_construction) C++17
100 / 100
314 ms 96124 KB
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const int nx=1e5+5;

ll n, lv[nx], a[nx], b[nx], sz[nx], pa[nx], h[nx], lvl[nx], res[nx], t;
vector<ll> d[nx];
map<ll, ll> mp;

struct range
{
    ll l, r, v;
    range(ll l=0, ll r=0, ll v=0): l(l), r(r), v(v){}
};
stack<range> s[nx];

struct fenwick
{
    ll d[nx];
    void update(int i, ll vl)
    {
        while (i<nx) d[i]+=vl, i+=(i&-i);
    }
    ll query(int i)
    {
        ll res=0;
        while (i>0) res+=d[i], i-=(i&-i);
        return res;
    }
} f;

void dfs(int u, int p)
{
    sz[u]=1;
    for (auto v:d[u]) if (v!=p) dfs(v, u), sz[u]+=sz[v];
}

void hld(int u, int p, int hd)
{
    h[u]=hd;
    pa[u]=p;
    lvl[u]=(p!=-1)?(lvl[p]+1):1;
    pair<int, int> hv;
    for (auto v:d[u]) if (v!=p) hv=max(hv, {sz[v], v});
    if (hv.first) hld(hv.second, u, hd);
    for (auto v:d[u]) if (v!=p&&v!=hv.second) hld(v, u, v);
}

void update(int idx)
{
    ll u=idx;
    vector<range> v;
    while (u!=-1)
    {
        vector<range> tmp;
        while (!s[h[u]].empty()&&s[h[u]].top().r<=lvl[u]) tmp.push_back(s[h[u]].top()), s[h[u]].pop();
        if (!s[h[u]].empty()&&s[h[u]].top().l<=lvl[u]) tmp.push_back(range(s[h[u]].top().l, lvl[u], s[h[u]].top().v)), s[h[u]].top().l=lvl[u]+1;
        s[h[u]].push(range(lvl[h[u]], lvl[u], lv[idx]));
        u=h[u];
        u=pa[u];
        while (!tmp.empty()) v.push_back(tmp.back()), tmp.pop_back();
    }
    //cout<<"range "<<idx<<'\n';
    //for (auto x:v) cout<<x.l<<' '<<x.r<<' '<<x.v<<'\n';
    for (auto x:v) f.update(x.v, x.r-x.l+1), res[idx]+=f.query(x.v-1)*(x.r-x.l+1);
    for (auto x:v) f.update(x.v, -(x.r-x.l+1));
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n;
    for (int i=1; i<=n; i++) cin>>lv[i], mp[lv[i]]=0;
    for (auto &[x, y]:mp) y=++t;
    for (int i=1; i<=n; i++) lv[i]=mp[lv[i]];
    for (int i=1; i<n; i++) cin>>a[i]>>b[i], d[a[i]].push_back(b[i]), d[b[i]].push_back(a[i]);
    dfs(1, 1);
    hld(1, -1, 1);
    //for (int i=1; i<=n; i++) cout<<i<<' '<<pa[i]<<' '<<h[i]<<'\n';
    update(1);
    for (int i=1; i<n; i++) update(b[i]);
    for (int i=1; i<n; i++) cout<<res[b[i]]<<'\n';
}
# Verdict Execution time Memory Grader output
1 Correct 30 ms 74584 KB Output is correct
2 Correct 26 ms 74588 KB Output is correct
3 Correct 24 ms 74840 KB Output is correct
4 Correct 26 ms 74812 KB Output is correct
5 Correct 31 ms 74844 KB Output is correct
6 Correct 25 ms 74832 KB Output is correct
7 Correct 25 ms 74840 KB Output is correct
8 Correct 26 ms 74844 KB Output is correct
9 Correct 25 ms 74820 KB Output is correct
10 Correct 25 ms 74844 KB Output is correct
11 Correct 32 ms 74844 KB Output is correct
12 Correct 25 ms 74844 KB Output is correct
13 Correct 26 ms 74844 KB Output is correct
14 Correct 26 ms 74844 KB Output is correct
15 Correct 25 ms 74844 KB Output is correct
16 Correct 26 ms 74836 KB Output is correct
17 Correct 26 ms 74844 KB Output is correct
18 Correct 26 ms 74652 KB Output is correct
19 Correct 27 ms 74844 KB Output is correct
20 Correct 29 ms 75088 KB Output is correct
21 Correct 26 ms 74828 KB Output is correct
22 Correct 34 ms 74836 KB Output is correct
23 Correct 31 ms 74628 KB Output is correct
24 Correct 29 ms 74832 KB Output is correct
25 Correct 27 ms 75096 KB Output is correct
26 Correct 29 ms 74836 KB Output is correct
27 Correct 27 ms 74836 KB Output is correct
28 Correct 27 ms 74832 KB Output is correct
29 Correct 28 ms 74876 KB Output is correct
30 Correct 29 ms 74724 KB Output is correct
31 Correct 29 ms 74840 KB Output is correct
32 Correct 29 ms 74844 KB Output is correct
33 Correct 28 ms 74888 KB Output is correct
34 Correct 36 ms 74844 KB Output is correct
35 Correct 25 ms 74844 KB Output is correct
36 Correct 41 ms 74844 KB Output is correct
37 Correct 30 ms 74844 KB Output is correct
38 Correct 31 ms 74844 KB Output is correct
39 Correct 29 ms 74836 KB Output is correct
40 Correct 25 ms 74840 KB Output is correct
41 Correct 28 ms 74844 KB Output is correct
42 Correct 31 ms 74844 KB Output is correct
43 Correct 33 ms 74840 KB Output is correct
44 Correct 25 ms 74844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 74584 KB Output is correct
2 Correct 26 ms 74588 KB Output is correct
3 Correct 24 ms 74840 KB Output is correct
4 Correct 26 ms 74812 KB Output is correct
5 Correct 31 ms 74844 KB Output is correct
6 Correct 25 ms 74832 KB Output is correct
7 Correct 25 ms 74840 KB Output is correct
8 Correct 26 ms 74844 KB Output is correct
9 Correct 25 ms 74820 KB Output is correct
10 Correct 25 ms 74844 KB Output is correct
11 Correct 32 ms 74844 KB Output is correct
12 Correct 25 ms 74844 KB Output is correct
13 Correct 26 ms 74844 KB Output is correct
14 Correct 26 ms 74844 KB Output is correct
15 Correct 25 ms 74844 KB Output is correct
16 Correct 26 ms 74836 KB Output is correct
17 Correct 26 ms 74844 KB Output is correct
18 Correct 26 ms 74652 KB Output is correct
19 Correct 27 ms 74844 KB Output is correct
20 Correct 29 ms 75088 KB Output is correct
21 Correct 26 ms 74828 KB Output is correct
22 Correct 34 ms 74836 KB Output is correct
23 Correct 31 ms 74628 KB Output is correct
24 Correct 29 ms 74832 KB Output is correct
25 Correct 27 ms 75096 KB Output is correct
26 Correct 29 ms 74836 KB Output is correct
27 Correct 27 ms 74836 KB Output is correct
28 Correct 27 ms 74832 KB Output is correct
29 Correct 28 ms 74876 KB Output is correct
30 Correct 29 ms 74724 KB Output is correct
31 Correct 29 ms 74840 KB Output is correct
32 Correct 29 ms 74844 KB Output is correct
33 Correct 28 ms 74888 KB Output is correct
34 Correct 36 ms 74844 KB Output is correct
35 Correct 25 ms 74844 KB Output is correct
36 Correct 41 ms 74844 KB Output is correct
37 Correct 30 ms 74844 KB Output is correct
38 Correct 31 ms 74844 KB Output is correct
39 Correct 29 ms 74836 KB Output is correct
40 Correct 25 ms 74840 KB Output is correct
41 Correct 28 ms 74844 KB Output is correct
42 Correct 31 ms 74844 KB Output is correct
43 Correct 33 ms 74840 KB Output is correct
44 Correct 25 ms 74844 KB Output is correct
45 Correct 27 ms 74828 KB Output is correct
46 Correct 27 ms 75092 KB Output is correct
47 Correct 35 ms 75244 KB Output is correct
48 Correct 34 ms 75088 KB Output is correct
49 Correct 29 ms 75616 KB Output is correct
50 Correct 32 ms 75356 KB Output is correct
51 Correct 29 ms 75348 KB Output is correct
52 Correct 32 ms 75604 KB Output is correct
53 Correct 32 ms 75608 KB Output is correct
54 Correct 33 ms 75600 KB Output is correct
55 Correct 31 ms 75604 KB Output is correct
56 Correct 31 ms 75348 KB Output is correct
57 Correct 31 ms 75100 KB Output is correct
58 Correct 37 ms 75100 KB Output is correct
59 Correct 35 ms 75092 KB Output is correct
60 Correct 38 ms 75188 KB Output is correct
61 Correct 33 ms 75352 KB Output is correct
62 Correct 28 ms 75356 KB Output is correct
63 Correct 32 ms 75356 KB Output is correct
64 Correct 32 ms 74768 KB Output is correct
65 Correct 34 ms 74844 KB Output is correct
66 Correct 32 ms 74844 KB Output is correct
67 Correct 29 ms 75100 KB Output is correct
68 Correct 27 ms 75100 KB Output is correct
69 Correct 43 ms 75588 KB Output is correct
70 Correct 29 ms 75356 KB Output is correct
71 Correct 33 ms 74976 KB Output is correct
72 Correct 33 ms 75100 KB Output is correct
73 Correct 31 ms 74840 KB Output is correct
74 Correct 30 ms 75100 KB Output is correct
75 Correct 30 ms 75356 KB Output is correct
76 Correct 29 ms 75352 KB Output is correct
77 Correct 29 ms 75176 KB Output is correct
78 Correct 30 ms 75100 KB Output is correct
79 Correct 28 ms 74840 KB Output is correct
80 Correct 27 ms 74844 KB Output is correct
81 Correct 28 ms 75356 KB Output is correct
82 Correct 29 ms 75352 KB Output is correct
83 Correct 28 ms 75356 KB Output is correct
84 Correct 30 ms 75352 KB Output is correct
85 Correct 37 ms 74832 KB Output is correct
86 Correct 28 ms 74844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 74584 KB Output is correct
2 Correct 26 ms 74588 KB Output is correct
3 Correct 24 ms 74840 KB Output is correct
4 Correct 26 ms 74812 KB Output is correct
5 Correct 31 ms 74844 KB Output is correct
6 Correct 25 ms 74832 KB Output is correct
7 Correct 25 ms 74840 KB Output is correct
8 Correct 26 ms 74844 KB Output is correct
9 Correct 25 ms 74820 KB Output is correct
10 Correct 25 ms 74844 KB Output is correct
11 Correct 32 ms 74844 KB Output is correct
12 Correct 25 ms 74844 KB Output is correct
13 Correct 26 ms 74844 KB Output is correct
14 Correct 26 ms 74844 KB Output is correct
15 Correct 25 ms 74844 KB Output is correct
16 Correct 26 ms 74836 KB Output is correct
17 Correct 26 ms 74844 KB Output is correct
18 Correct 26 ms 74652 KB Output is correct
19 Correct 27 ms 74844 KB Output is correct
20 Correct 29 ms 75088 KB Output is correct
21 Correct 26 ms 74828 KB Output is correct
22 Correct 34 ms 74836 KB Output is correct
23 Correct 31 ms 74628 KB Output is correct
24 Correct 29 ms 74832 KB Output is correct
25 Correct 27 ms 75096 KB Output is correct
26 Correct 29 ms 74836 KB Output is correct
27 Correct 27 ms 74836 KB Output is correct
28 Correct 27 ms 74832 KB Output is correct
29 Correct 28 ms 74876 KB Output is correct
30 Correct 29 ms 74724 KB Output is correct
31 Correct 29 ms 74840 KB Output is correct
32 Correct 29 ms 74844 KB Output is correct
33 Correct 28 ms 74888 KB Output is correct
34 Correct 36 ms 74844 KB Output is correct
35 Correct 25 ms 74844 KB Output is correct
36 Correct 41 ms 74844 KB Output is correct
37 Correct 30 ms 74844 KB Output is correct
38 Correct 31 ms 74844 KB Output is correct
39 Correct 29 ms 74836 KB Output is correct
40 Correct 25 ms 74840 KB Output is correct
41 Correct 28 ms 74844 KB Output is correct
42 Correct 31 ms 74844 KB Output is correct
43 Correct 33 ms 74840 KB Output is correct
44 Correct 25 ms 74844 KB Output is correct
45 Correct 27 ms 74828 KB Output is correct
46 Correct 27 ms 75092 KB Output is correct
47 Correct 35 ms 75244 KB Output is correct
48 Correct 34 ms 75088 KB Output is correct
49 Correct 29 ms 75616 KB Output is correct
50 Correct 32 ms 75356 KB Output is correct
51 Correct 29 ms 75348 KB Output is correct
52 Correct 32 ms 75604 KB Output is correct
53 Correct 32 ms 75608 KB Output is correct
54 Correct 33 ms 75600 KB Output is correct
55 Correct 31 ms 75604 KB Output is correct
56 Correct 31 ms 75348 KB Output is correct
57 Correct 31 ms 75100 KB Output is correct
58 Correct 37 ms 75100 KB Output is correct
59 Correct 35 ms 75092 KB Output is correct
60 Correct 38 ms 75188 KB Output is correct
61 Correct 33 ms 75352 KB Output is correct
62 Correct 28 ms 75356 KB Output is correct
63 Correct 32 ms 75356 KB Output is correct
64 Correct 32 ms 74768 KB Output is correct
65 Correct 34 ms 74844 KB Output is correct
66 Correct 32 ms 74844 KB Output is correct
67 Correct 29 ms 75100 KB Output is correct
68 Correct 27 ms 75100 KB Output is correct
69 Correct 43 ms 75588 KB Output is correct
70 Correct 29 ms 75356 KB Output is correct
71 Correct 33 ms 74976 KB Output is correct
72 Correct 33 ms 75100 KB Output is correct
73 Correct 31 ms 74840 KB Output is correct
74 Correct 30 ms 75100 KB Output is correct
75 Correct 30 ms 75356 KB Output is correct
76 Correct 29 ms 75352 KB Output is correct
77 Correct 29 ms 75176 KB Output is correct
78 Correct 30 ms 75100 KB Output is correct
79 Correct 28 ms 74840 KB Output is correct
80 Correct 27 ms 74844 KB Output is correct
81 Correct 28 ms 75356 KB Output is correct
82 Correct 29 ms 75352 KB Output is correct
83 Correct 28 ms 75356 KB Output is correct
84 Correct 30 ms 75352 KB Output is correct
85 Correct 37 ms 74832 KB Output is correct
86 Correct 28 ms 74844 KB Output is correct
87 Correct 37 ms 75856 KB Output is correct
88 Correct 68 ms 78540 KB Output is correct
89 Correct 218 ms 87972 KB Output is correct
90 Correct 197 ms 87892 KB Output is correct
91 Correct 208 ms 87860 KB Output is correct
92 Correct 135 ms 95068 KB Output is correct
93 Correct 126 ms 95200 KB Output is correct
94 Correct 128 ms 95060 KB Output is correct
95 Correct 138 ms 95684 KB Output is correct
96 Correct 157 ms 96084 KB Output is correct
97 Correct 151 ms 96092 KB Output is correct
98 Correct 152 ms 96124 KB Output is correct
99 Correct 141 ms 92244 KB Output is correct
100 Correct 242 ms 87376 KB Output is correct
101 Correct 314 ms 87888 KB Output is correct
102 Correct 302 ms 87888 KB Output is correct
103 Correct 290 ms 87892 KB Output is correct
104 Correct 140 ms 92080 KB Output is correct
105 Correct 138 ms 91984 KB Output is correct
106 Correct 138 ms 92016 KB Output is correct
107 Correct 145 ms 80720 KB Output is correct
108 Correct 139 ms 80720 KB Output is correct
109 Correct 172 ms 83024 KB Output is correct
110 Correct 79 ms 88136 KB Output is correct
111 Correct 135 ms 95604 KB Output is correct
112 Correct 92 ms 88992 KB Output is correct
113 Correct 96 ms 85012 KB Output is correct
114 Correct 238 ms 87632 KB Output is correct
115 Correct 210 ms 80720 KB Output is correct
116 Correct 90 ms 85076 KB Output is correct
117 Correct 151 ms 89492 KB Output is correct
118 Correct 163 ms 88760 KB Output is correct
119 Correct 136 ms 88404 KB Output is correct
120 Correct 90 ms 83024 KB Output is correct
121 Correct 88 ms 82384 KB Output is correct
122 Correct 91 ms 82112 KB Output is correct
123 Correct 147 ms 89424 KB Output is correct
124 Correct 164 ms 88916 KB Output is correct
125 Correct 161 ms 88400 KB Output is correct
126 Correct 111 ms 83028 KB Output is correct
127 Correct 112 ms 82448 KB Output is correct
128 Correct 113 ms 82260 KB Output is correct