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Submission #105012

# Submission time Handle Problem Language Result Execution time Memory
105012 2019-04-10T06:56:32 Z minhtung0404 Designated Cities (JOI19_designated_cities) C++17
100 / 100
 794 ms 76408 KB 
//https://oj.uz/problem/view/JOI19_designated_cities

#include<bits/stdc++.h>
#define int long long
const int N = 2e5 + 5;
const long long inf = 1e18;
using namespace std;

typedef pair <long long, long long> ii;
typedef pair <int, ii> iii;

vector <iii> G[N];

ii trace[N][3], it[N << 2], root;
int lazy[N << 2];
int n, q, d[N], f[N], p[N], st[N], en[N], node[N], cnt, ans[N];
long long dp[N][4];
bool dead[N];

bool up(long long&a, long long b){
    if (a <= b) return false;
    a = b;
    return true;
}

void dfs(int u, int p){
    dp[u][0] = 0; dp[u][1] = dp[u][2] = dp[u][3] = inf;
    for (auto P : G[u]){
        int v = P.first, a = P.second.first, b = P.second.second;
        if (v == p) continue;
        dfs(v, u);
        dp[u][3] = min(dp[u][3] + dp[v][0] + a, dp[u][0] + dp[v][3] + b);
        dp[u][2] += dp[v][0] + a;
        if (up(dp[u][2], dp[u][1] + dp[v][1])) trace[u][2] = ii(trace[u][1].first, trace[v][1].first);
        if (up(dp[u][2], dp[u][0] + dp[v][2] + b)) trace[u][2] = trace[v][2];
        dp[u][1] += dp[v][0] + a;
        if (up(dp[u][1], dp[u][0] + dp[v][1])) trace[u][1] = trace[v][1];
        dp[u][0] += dp[v][0] + a;
    }
    dp[u][3] = min(dp[u][3], dp[u][0]);
    if (up(dp[u][2], dp[u][1])) trace[u][2] = ii(u, trace[u][1].first);
    if (up(dp[u][1], dp[u][0])) trace[u][1] = ii(u, 0);
}

void redfs(int u){
    st[u] = ++cnt; node[cnt] = u;
    for (auto P : G[u]){
        int v = P.first, a = P.second.first, b = P.second.second;
        if (v == p[u]) continue;
        d[v] = d[u] + a;
        p[v] = u; f[v] = a;
        redfs(v);
    }
    en[u] = cnt;
}

void init(int i, int l, int r){
    if (l == r){
        it[i] = ii(d[node[l]], node[l]);
        return;
    }
    int mid = (l + r) >> 1;
    init(i << 1, l, mid); init(i << 1 | 1, mid+1, r);
    it[i] = max(it[i << 1], it[i << 1 | 1]);
}

void dolazy(int i, int l, int r){
    if (!lazy[i]) return;
    if (l != r){
        lazy[i << 1] += lazy[i];
        lazy[i << 1 | 1] += lazy[i];
    }
    it[i].first -= lazy[i];
    lazy[i] = 0;
}

void update(int i, int l, int r, int L, int R, int val){
    dolazy(i, l, r);
    if (L > r || l > R) return;
    if (L <= l && r <= R){
        lazy[i] = val;
        dolazy(i, l, r);
        return;
    }
    int mid = (l + r) >> 1;
    update(i << 1, l, mid, L, R, val); update(i << 1 | 1, mid+1, r, L, R, val);
    it[i] = max(it[i << 1], it[i << 1 | 1]);
}

void Erase(int u){
    int cur = u;
    while (u && dead[u] == false){
        dead[u] = true;
        update(1, 1, n, st[u], en[u], f[u]);
        u = p[u];
    }
}

signed main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> n;
    for (int i = 2; i <= n; i++){
        int u, v, a, b; cin >> u >> v >> a >> b;
        G[u].push_back(iii(v, ii(a, b)));
        G[v].push_back(iii(u, ii(b, a)));
    }
    dfs(1, 1);
    root = trace[1][2]; ans[1] = dp[1][3]; ans[2] = dp[1][2];
    redfs(root.first);
    init(1, 1, n);
    Erase(root.second);
    for (int i = 3; i <= n; i++){
        ans[i] = ans[i-1] - it[1].first;
        Erase(it[1].second);
    }
    cin >> q;
    while (q--){
        int x;
        cin >> x;
        cout << ans[x] << "\n";
    }
}

Compilation message

designated_cities.cpp: In function 'void redfs(long long int)':
designated_cities.cpp:48:46: warning: unused variable 'b' [-Wunused-variable]
         int v = P.first, a = P.second.first, b = P.second.second;
                                              ^
designated_cities.cpp: In function 'void Erase(long long int)':
designated_cities.cpp:91:9: warning: unused variable 'cur' [-Wunused-variable]
     int cur = u;
         ^~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 7 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 8 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 8 ms 5120 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 743 ms 57272 KB Output is correct
3 Correct 652 ms 73928 KB Output is correct
4 Correct 622 ms 61176 KB Output is correct
5 Correct 704 ms 60852 KB Output is correct
6 Correct 677 ms 63024 KB Output is correct
7 Correct 652 ms 59940 KB Output is correct
8 Correct 692 ms 74308 KB Output is correct
9 Correct 597 ms 58884 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5120 KB Output is correct
2 Correct 734 ms 57408 KB Output is correct
3 Correct 668 ms 75904 KB Output is correct
4 Correct 630 ms 61192 KB Output is correct
5 Correct 711 ms 60904 KB Output is correct
6 Correct 794 ms 63224 KB Output is correct
7 Correct 631 ms 59160 KB Output is correct
8 Correct 716 ms 69624 KB Output is correct
9 Correct 576 ms 58908 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 7 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 8 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 8 ms 5120 KB Output is correct
12 Correct 7 ms 5120 KB Output is correct
13 Correct 11 ms 5632 KB Output is correct
14 Correct 9 ms 5760 KB Output is correct
15 Correct 11 ms 5632 KB Output is correct
16 Correct 11 ms 5624 KB Output is correct
17 Correct 12 ms 5632 KB Output is correct
18 Correct 13 ms 5760 KB Output is correct
19 Correct 10 ms 5632 KB Output is correct
20 Correct 13 ms 5804 KB Output is correct
21 Correct 13 ms 5760 KB Output is correct
22 Correct 11 ms 5760 KB Output is correct
23 Correct 11 ms 5760 KB Output is correct
24 Correct 10 ms 5752 KB Output is correct
25 Correct 11 ms 5888 KB Output is correct
26 Correct 11 ms 5760 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 743 ms 57272 KB Output is correct
3 Correct 652 ms 73928 KB Output is correct
4 Correct 622 ms 61176 KB Output is correct
5 Correct 704 ms 60852 KB Output is correct
6 Correct 677 ms 63024 KB Output is correct
7 Correct 652 ms 59940 KB Output is correct
8 Correct 692 ms 74308 KB Output is correct
9 Correct 597 ms 58884 KB Output is correct
10 Correct 8 ms 5120 KB Output is correct
11 Correct 734 ms 57408 KB Output is correct
12 Correct 668 ms 75904 KB Output is correct
13 Correct 630 ms 61192 KB Output is correct
14 Correct 711 ms 60904 KB Output is correct
15 Correct 794 ms 63224 KB Output is correct
16 Correct 631 ms 59160 KB Output is correct
17 Correct 716 ms 69624 KB Output is correct
18 Correct 576 ms 58908 KB Output is correct
19 Correct 7 ms 5092 KB Output is correct
20 Correct 613 ms 61152 KB Output is correct
21 Correct 648 ms 76408 KB Output is correct
22 Correct 648 ms 61312 KB Output is correct
23 Correct 727 ms 61512 KB Output is correct
24 Correct 667 ms 61692 KB Output is correct
25 Correct 671 ms 61812 KB Output is correct
26 Correct 698 ms 61596 KB Output is correct
27 Correct 719 ms 61224 KB Output is correct
28 Correct 712 ms 63224 KB Output is correct
29 Correct 670 ms 61932 KB Output is correct
30 Correct 691 ms 60948 KB Output is correct
31 Correct 636 ms 59912 KB Output is correct
32 Correct 764 ms 70452 KB Output is correct
33 Correct 651 ms 59160 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 7 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 8 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 8 ms 5120 KB Output is correct
12 Correct 6 ms 5120 KB Output is correct
13 Correct 743 ms 57272 KB Output is correct
14 Correct 652 ms 73928 KB Output is correct
15 Correct 622 ms 61176 KB Output is correct
16 Correct 704 ms 60852 KB Output is correct
17 Correct 677 ms 63024 KB Output is correct
18 Correct 652 ms 59940 KB Output is correct
19 Correct 692 ms 74308 KB Output is correct
20 Correct 597 ms 58884 KB Output is correct
21 Correct 8 ms 5120 KB Output is correct
22 Correct 734 ms 57408 KB Output is correct
23 Correct 668 ms 75904 KB Output is correct
24 Correct 630 ms 61192 KB Output is correct
25 Correct 711 ms 60904 KB Output is correct
26 Correct 794 ms 63224 KB Output is correct
27 Correct 631 ms 59160 KB Output is correct
28 Correct 716 ms 69624 KB Output is correct
29 Correct 576 ms 58908 KB Output is correct
30 Correct 7 ms 5120 KB Output is correct
31 Correct 11 ms 5632 KB Output is correct
32 Correct 9 ms 5760 KB Output is correct
33 Correct 11 ms 5632 KB Output is correct
34 Correct 11 ms 5624 KB Output is correct
35 Correct 12 ms 5632 KB Output is correct
36 Correct 13 ms 5760 KB Output is correct
37 Correct 10 ms 5632 KB Output is correct
38 Correct 13 ms 5804 KB Output is correct
39 Correct 13 ms 5760 KB Output is correct
40 Correct 11 ms 5760 KB Output is correct
41 Correct 11 ms 5760 KB Output is correct
42 Correct 10 ms 5752 KB Output is correct
43 Correct 11 ms 5888 KB Output is correct
44 Correct 11 ms 5760 KB Output is correct
45 Correct 7 ms 5092 KB Output is correct
46 Correct 613 ms 61152 KB Output is correct
47 Correct 648 ms 76408 KB Output is correct
48 Correct 648 ms 61312 KB Output is correct
49 Correct 727 ms 61512 KB Output is correct
50 Correct 667 ms 61692 KB Output is correct
51 Correct 671 ms 61812 KB Output is correct
52 Correct 698 ms 61596 KB Output is correct
53 Correct 719 ms 61224 KB Output is correct
54 Correct 712 ms 63224 KB Output is correct
55 Correct 670 ms 61932 KB Output is correct
56 Correct 691 ms 60948 KB Output is correct
57 Correct 636 ms 59912 KB Output is correct
58 Correct 764 ms 70452 KB Output is correct
59 Correct 651 ms 59160 KB Output is correct
60 Correct 7 ms 5120 KB Output is correct
61 Correct 777 ms 62624 KB Output is correct
62 Correct 667 ms 74460 KB Output is correct
63 Correct 718 ms 62760 KB Output is correct
64 Correct 704 ms 63040 KB Output is correct
65 Correct 727 ms 62840 KB Output is correct
66 Correct 781 ms 62976 KB Output is correct
67 Correct 766 ms 62828 KB Output is correct
68 Correct 728 ms 63056 KB Output is correct
69 Correct 725 ms 64640 KB Output is correct
70 Correct 603 ms 63196 KB Output is correct
71 Correct 678 ms 62740 KB Output is correct
72 Correct 690 ms 62244 KB Output is correct
73 Correct 739 ms 70432 KB Output is correct
74 Correct 679 ms 62196 KB Output is correct