oj.uz

Submission #47517

# Submission time Handle Problem Language Result Execution time Memory
47517 2018-05-04T11:40:20 Z qoo2p5 Construction of Highway (JOI18_construction) C++17
100 / 100
 372 ms 22216 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int INF = (int) 1e9 + 1e6 + 123;
const ll LINF = (ll) 1e18 + 1e9 + 123;

#define rep(i, s, t) for (auto i = (s); i < (t); ++(i))
#define per(i, s, t) for (auto i = (s); i >= (t); --(i))
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define mp make_pair
#define pb push_back

bool mini(auto &x, const auto &y) {
    if (y < x) {
        x = y;
        return 1;
    }
    return 0;
}

bool maxi(auto &x, const auto &y) {
    if (y > x) {
        x = y;
        return 1;
    }
    return 0;
}

void run();

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    run();
    return 0;
}

const int N = (int) 1e5 + 123;

struct F {
    int f[N];
    
    void add(int x, int y) {
        x++;
        for (; x < N; x += x & (-x)) f[x] += y;
    }
    
    int get(int i) {
        i++;
        int res = 0;
        for (; i > 0; i -= i & (-i)) res += f[i];
        return res;
    }
};

int n;
int c[N];
map<int, int> comp;
vector<int> g[N];

struct HLD {
    int up, down;
    vector<pair<int, int>> st;
    
    void set(int len, int c) {
        int alr = 0;
        while (sz(st) && st.back().second + alr <= len) {
            alr += st.back().second;
            st.pop_back();
        }
        assert(alr <= len);
        if (alr < len) {
            st.back().second -= (len - alr);
        }
        st.pb({c, len});
    }
};

int ptr;
HLD hld[N];
int id[N];
int depth[N];
int cnt[N];
int p[N];
pair<int, int> q[N];

void precalc(int v) {
    cnt[v] = 1;
    for (int u : g[v]) {
        precalc(u);
        cnt[v] += cnt[u];
    }
}

void build_hld(int v, int cur = -1) {
    if (cur == -1) {
        cur = ptr++;
        hld[cur].up = v;
    }
    id[v] = cur;
    hld[cur].down = v;
    int to = -1;
    for (int u : g[v]) {
        if (to == -1 || cnt[u] > cnt[to]) {
            to = u;
        }
    }
    if (to != -1) {
        build_hld(to, cur);
    }
    for (int u : g[v]) {
        if (u != to) {
            build_hld(u, -1);
        }
    }
}

F f;

ll get(int v) {
    static vector<pair<int, int>> cool;
    cool.clear();
    while (v > 0) {
        int w = id[v];
        int len = depth[v] - depth[hld[w].up] + 1;
        int alr = 0;
        int ptr = sz(hld[w].st) - 1;
        while (ptr >= 0 && hld[w].st[ptr].second + alr <= len) {
            alr += hld[w].st[ptr].second;
            ptr--;
        }
        if (alr < len) {
            assert(ptr >= 0);
            cool.pb({hld[w].st[ptr].first, len - alr});
        }
        rep(i, ptr + 1, sz(hld[w].st)) {
            cool.pb(hld[w].st[i]);
        }
        v = p[hld[w].up];
    }
    
    ll ans = 0;
    for (auto &it : cool) {
        ans += it.second * f.get(it.first - 1);
        f.add(it.first, it.second);
    }
    for (auto &it : cool) {
        f.add(it.first, -it.second);
    }
    
    return ans;
}

void set_color(int v, int c) {
    while (v > 0) {
        int w = id[v];
        int len = depth[v] - depth[hld[w].up] + 1;
        hld[w].set(len, c);
        v = p[hld[w].up];
    }
}

void run() {
    cin >> n;
    rep(i, 1, n + 1) {
        cin >> c[i];
        comp[c[i]] = 1;
    }
    {
        int ptr = 0;
        for (auto &it : comp) {
            it.second = ptr++;
        }
    }
    rep(i, 1, n + 1) {
        c[i] = comp[c[i]];
    }
    rep(i, 1, n) {
        int a, b;
        cin >> a >> b;
        g[a].pb(b);
        p[b] = a;
        depth[b] = depth[a] + 1;
        q[i] = {a, b};
    }
    precalc(1);
    build_hld(1);
    rep(i, 0, ptr) {
        hld[i].st.pb({-1, depth[hld[i].down] - depth[hld[i].up] + 1});
    }
    
    set_color(1, c[1]);
    rep(i, 1, n) {
        cout << get(q[i].first) << "\n";
        set_color(q[i].second, c[q[i].second]);
    }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5880 KB Output is correct
2 Correct 6 ms 5988 KB Output is correct
3 Correct 6 ms 5988 KB Output is correct
4 Correct 6 ms 5988 KB Output is correct
5 Correct 6 ms 6228 KB Output is correct
6 Correct 6 ms 6228 KB Output is correct
7 Correct 6 ms 6228 KB Output is correct
8 Correct 6 ms 6228 KB Output is correct
9 Correct 6 ms 6244 KB Output is correct
10 Correct 6 ms 6244 KB Output is correct
11 Correct 6 ms 6244 KB Output is correct
12 Correct 6 ms 6244 KB Output is correct
13 Correct 6 ms 6244 KB Output is correct
14 Correct 6 ms 6244 KB Output is correct
15 Correct 7 ms 6252 KB Output is correct
16 Correct 6 ms 6252 KB Output is correct
17 Correct 6 ms 6252 KB Output is correct
18 Correct 6 ms 6252 KB Output is correct
19 Correct 6 ms 6252 KB Output is correct
20 Correct 6 ms 6252 KB Output is correct
21 Correct 6 ms 6252 KB Output is correct
22 Correct 6 ms 6252 KB Output is correct
23 Correct 6 ms 6252 KB Output is correct
24 Correct 6 ms 6252 KB Output is correct
25 Correct 6 ms 6252 KB Output is correct
26 Correct 6 ms 6252 KB Output is correct
27 Correct 6 ms 6252 KB Output is correct
28 Correct 6 ms 6252 KB Output is correct
29 Correct 6 ms 6252 KB Output is correct
30 Correct 6 ms 6252 KB Output is correct
31 Correct 6 ms 6252 KB Output is correct
32 Correct 6 ms 6252 KB Output is correct
33 Correct 6 ms 6252 KB Output is correct
34 Correct 6 ms 6252 KB Output is correct
35 Correct 6 ms 6252 KB Output is correct
36 Correct 6 ms 6260 KB Output is correct
37 Correct 6 ms 6260 KB Output is correct
38 Correct 6 ms 6260 KB Output is correct
39 Correct 6 ms 6260 KB Output is correct
40 Correct 6 ms 6260 KB Output is correct
41 Correct 6 ms 6260 KB Output is correct
42 Correct 6 ms 6260 KB Output is correct
43 Correct 6 ms 6260 KB Output is correct
44 Correct 6 ms 6260 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5880 KB Output is correct
2 Correct 6 ms 5988 KB Output is correct
3 Correct 6 ms 5988 KB Output is correct
4 Correct 6 ms 5988 KB Output is correct
5 Correct 6 ms 6228 KB Output is correct
6 Correct 6 ms 6228 KB Output is correct
7 Correct 6 ms 6228 KB Output is correct
8 Correct 6 ms 6228 KB Output is correct
9 Correct 6 ms 6244 KB Output is correct
10 Correct 6 ms 6244 KB Output is correct
11 Correct 6 ms 6244 KB Output is correct
12 Correct 6 ms 6244 KB Output is correct
13 Correct 6 ms 6244 KB Output is correct
14 Correct 6 ms 6244 KB Output is correct
15 Correct 7 ms 6252 KB Output is correct
16 Correct 6 ms 6252 KB Output is correct
17 Correct 6 ms 6252 KB Output is correct
18 Correct 6 ms 6252 KB Output is correct
19 Correct 6 ms 6252 KB Output is correct
20 Correct 6 ms 6252 KB Output is correct
21 Correct 6 ms 6252 KB Output is correct
22 Correct 6 ms 6252 KB Output is correct
23 Correct 6 ms 6252 KB Output is correct
24 Correct 6 ms 6252 KB Output is correct
25 Correct 6 ms 6252 KB Output is correct
26 Correct 6 ms 6252 KB Output is correct
27 Correct 6 ms 6252 KB Output is correct
28 Correct 6 ms 6252 KB Output is correct
29 Correct 6 ms 6252 KB Output is correct
30 Correct 6 ms 6252 KB Output is correct
31 Correct 6 ms 6252 KB Output is correct
32 Correct 6 ms 6252 KB Output is correct
33 Correct 6 ms 6252 KB Output is correct
34 Correct 6 ms 6252 KB Output is correct
35 Correct 6 ms 6252 KB Output is correct
36 Correct 6 ms 6260 KB Output is correct
37 Correct 6 ms 6260 KB Output is correct
38 Correct 6 ms 6260 KB Output is correct
39 Correct 6 ms 6260 KB Output is correct
40 Correct 6 ms 6260 KB Output is correct
41 Correct 6 ms 6260 KB Output is correct
42 Correct 6 ms 6260 KB Output is correct
43 Correct 6 ms 6260 KB Output is correct
44 Correct 6 ms 6260 KB Output is correct
45 Correct 7 ms 6268 KB Output is correct
46 Correct 12 ms 6652 KB Output is correct
47 Correct 12 ms 6652 KB Output is correct
48 Correct 12 ms 6668 KB Output is correct
49 Correct 10 ms 6812 KB Output is correct
50 Correct 10 ms 6828 KB Output is correct
51 Correct 10 ms 6828 KB Output is correct
52 Correct 10 ms 6828 KB Output is correct
53 Correct 10 ms 6828 KB Output is correct
54 Correct 10 ms 6828 KB Output is correct
55 Correct 10 ms 6828 KB Output is correct
56 Correct 10 ms 6828 KB Output is correct
57 Correct 13 ms 6828 KB Output is correct
58 Correct 14 ms 6828 KB Output is correct
59 Correct 14 ms 6828 KB Output is correct
60 Correct 13 ms 6828 KB Output is correct
61 Correct 10 ms 6828 KB Output is correct
62 Correct 10 ms 6828 KB Output is correct
63 Correct 11 ms 6828 KB Output is correct
64 Correct 10 ms 6828 KB Output is correct
65 Correct 11 ms 6828 KB Output is correct
66 Correct 11 ms 6828 KB Output is correct
67 Correct 11 ms 6828 KB Output is correct
68 Correct 8 ms 6828 KB Output is correct
69 Correct 10 ms 6828 KB Output is correct
70 Correct 9 ms 6828 KB Output is correct
71 Correct 9 ms 6828 KB Output is correct
72 Correct 13 ms 6828 KB Output is correct
73 Correct 12 ms 6828 KB Output is correct
74 Correct 9 ms 6828 KB Output is correct
75 Correct 10 ms 6828 KB Output is correct
76 Correct 10 ms 6828 KB Output is correct
77 Correct 10 ms 6828 KB Output is correct
78 Correct 9 ms 6828 KB Output is correct
79 Correct 9 ms 6828 KB Output is correct
80 Correct 9 ms 6828 KB Output is correct
81 Correct 10 ms 6828 KB Output is correct
82 Correct 10 ms 6828 KB Output is correct
83 Correct 10 ms 6828 KB Output is correct
84 Correct 9 ms 6828 KB Output is correct
85 Correct 9 ms 6828 KB Output is correct
86 Correct 9 ms 6828 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5880 KB Output is correct
2 Correct 6 ms 5988 KB Output is correct
3 Correct 6 ms 5988 KB Output is correct
4 Correct 6 ms 5988 KB Output is correct
5 Correct 6 ms 6228 KB Output is correct
6 Correct 6 ms 6228 KB Output is correct
7 Correct 6 ms 6228 KB Output is correct
8 Correct 6 ms 6228 KB Output is correct
9 Correct 6 ms 6244 KB Output is correct
10 Correct 6 ms 6244 KB Output is correct
11 Correct 6 ms 6244 KB Output is correct
12 Correct 6 ms 6244 KB Output is correct
13 Correct 6 ms 6244 KB Output is correct
14 Correct 6 ms 6244 KB Output is correct
15 Correct 7 ms 6252 KB Output is correct
16 Correct 6 ms 6252 KB Output is correct
17 Correct 6 ms 6252 KB Output is correct
18 Correct 6 ms 6252 KB Output is correct
19 Correct 6 ms 6252 KB Output is correct
20 Correct 6 ms 6252 KB Output is correct
21 Correct 6 ms 6252 KB Output is correct
22 Correct 6 ms 6252 KB Output is correct
23 Correct 6 ms 6252 KB Output is correct
24 Correct 6 ms 6252 KB Output is correct
25 Correct 6 ms 6252 KB Output is correct
26 Correct 6 ms 6252 KB Output is correct
27 Correct 6 ms 6252 KB Output is correct
28 Correct 6 ms 6252 KB Output is correct
29 Correct 6 ms 6252 KB Output is correct
30 Correct 6 ms 6252 KB Output is correct
31 Correct 6 ms 6252 KB Output is correct
32 Correct 6 ms 6252 KB Output is correct
33 Correct 6 ms 6252 KB Output is correct
34 Correct 6 ms 6252 KB Output is correct
35 Correct 6 ms 6252 KB Output is correct
36 Correct 6 ms 6260 KB Output is correct
37 Correct 6 ms 6260 KB Output is correct
38 Correct 6 ms 6260 KB Output is correct
39 Correct 6 ms 6260 KB Output is correct
40 Correct 6 ms 6260 KB Output is correct
41 Correct 6 ms 6260 KB Output is correct
42 Correct 6 ms 6260 KB Output is correct
43 Correct 6 ms 6260 KB Output is correct
44 Correct 6 ms 6260 KB Output is correct
45 Correct 7 ms 6268 KB Output is correct
46 Correct 12 ms 6652 KB Output is correct
47 Correct 12 ms 6652 KB Output is correct
48 Correct 12 ms 6668 KB Output is correct
49 Correct 10 ms 6812 KB Output is correct
50 Correct 10 ms 6828 KB Output is correct
51 Correct 10 ms 6828 KB Output is correct
52 Correct 10 ms 6828 KB Output is correct
53 Correct 10 ms 6828 KB Output is correct
54 Correct 10 ms 6828 KB Output is correct
55 Correct 10 ms 6828 KB Output is correct
56 Correct 10 ms 6828 KB Output is correct
57 Correct 13 ms 6828 KB Output is correct
58 Correct 14 ms 6828 KB Output is correct
59 Correct 14 ms 6828 KB Output is correct
60 Correct 13 ms 6828 KB Output is correct
61 Correct 10 ms 6828 KB Output is correct
62 Correct 10 ms 6828 KB Output is correct
63 Correct 11 ms 6828 KB Output is correct
64 Correct 10 ms 6828 KB Output is correct
65 Correct 11 ms 6828 KB Output is correct
66 Correct 11 ms 6828 KB Output is correct
67 Correct 11 ms 6828 KB Output is correct
68 Correct 8 ms 6828 KB Output is correct
69 Correct 10 ms 6828 KB Output is correct
70 Correct 9 ms 6828 KB Output is correct
71 Correct 9 ms 6828 KB Output is correct
72 Correct 13 ms 6828 KB Output is correct
73 Correct 12 ms 6828 KB Output is correct
74 Correct 9 ms 6828 KB Output is correct
75 Correct 10 ms 6828 KB Output is correct
76 Correct 10 ms 6828 KB Output is correct
77 Correct 10 ms 6828 KB Output is correct
78 Correct 9 ms 6828 KB Output is correct
79 Correct 9 ms 6828 KB Output is correct
80 Correct 9 ms 6828 KB Output is correct
81 Correct 10 ms 6828 KB Output is correct
82 Correct 10 ms 6828 KB Output is correct
83 Correct 10 ms 6828 KB Output is correct
84 Correct 9 ms 6828 KB Output is correct
85 Correct 9 ms 6828 KB Output is correct
86 Correct 9 ms 6828 KB Output is correct
87 Correct 23 ms 7356 KB Output is correct
88 Correct 70 ms 9660 KB Output is correct
89 Correct 281 ms 17808 KB Output is correct
90 Correct 273 ms 17816 KB Output is correct
91 Correct 264 ms 17816 KB Output is correct
92 Correct 171 ms 22216 KB Output is correct
93 Correct 194 ms 22216 KB Output is correct
94 Correct 186 ms 22216 KB Output is correct
95 Correct 175 ms 22216 KB Output is correct
96 Correct 213 ms 22216 KB Output is correct
97 Correct 193 ms 22216 KB Output is correct
98 Correct 185 ms 22216 KB Output is correct
99 Correct 186 ms 22216 KB Output is correct
100 Correct 324 ms 22216 KB Output is correct
101 Correct 361 ms 22216 KB Output is correct
102 Correct 372 ms 22216 KB Output is correct
103 Correct 358 ms 22216 KB Output is correct
104 Correct 189 ms 22216 KB Output is correct
105 Correct 211 ms 22216 KB Output is correct
106 Correct 194 ms 22216 KB Output is correct
107 Correct 192 ms 22216 KB Output is correct
108 Correct 188 ms 22216 KB Output is correct
109 Correct 242 ms 22216 KB Output is correct
110 Correct 97 ms 22216 KB Output is correct
111 Correct 189 ms 22216 KB Output is correct
112 Correct 111 ms 22216 KB Output is correct
113 Correct 115 ms 22216 KB Output is correct
114 Correct 335 ms 22216 KB Output is correct
115 Correct 278 ms 22216 KB Output is correct
116 Correct 135 ms 22216 KB Output is correct
117 Correct 187 ms 22216 KB Output is correct
118 Correct 191 ms 22216 KB Output is correct
119 Correct 189 ms 22216 KB Output is correct
120 Correct 117 ms 22216 KB Output is correct
121 Correct 118 ms 22216 KB Output is correct
122 Correct 114 ms 22216 KB Output is correct
123 Correct 194 ms 22216 KB Output is correct
124 Correct 193 ms 22216 KB Output is correct
125 Correct 201 ms 22216 KB Output is correct
126 Correct 130 ms 22216 KB Output is correct
127 Correct 126 ms 22216 KB Output is correct
128 Correct 129 ms 22216 KB Output is correct