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Submission #105013

# Submission time Handle Problem Language Result Execution time Memory
105013 2019-04-10T06:57:56 Z minhtung0404 Designated Cities (JOI19_designated_cities) C++17
100 / 100
 772 ms 68856 KB 
//https://oj.uz/problem/view/JOI19_designated_cities

#include<bits/stdc++.h>
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 n, q, f[N], p[N], st[N], en[N], node[N], cnt;
long long dp[N][4], d[N], ans[N], lazy[N << 2];
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(int)':
designated_cities.cpp:46:46: 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(int)':
designated_cities.cpp:89:9: 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 8 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5188 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 6 ms 5248 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 ms 5120 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5092 KB Output is correct
2 Correct 648 ms 53744 KB Output is correct
3 Correct 659 ms 66496 KB Output is correct
4 Correct 658 ms 53764 KB Output is correct
5 Correct 677 ms 53416 KB Output is correct
6 Correct 688 ms 55724 KB Output is correct
7 Correct 595 ms 52516 KB Output is correct
8 Correct 681 ms 67096 KB Output is correct
9 Correct 541 ms 51608 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5092 KB Output is correct
2 Correct 658 ms 53548 KB Output is correct
3 Correct 678 ms 68704 KB Output is correct
4 Correct 576 ms 53720 KB Output is correct
5 Correct 673 ms 53672 KB Output is correct
6 Correct 740 ms 55952 KB Output is correct
7 Correct 607 ms 51848 KB Output is correct
8 Correct 687 ms 62328 KB Output is correct
9 Correct 523 ms 51736 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 8 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5188 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 6 ms 5248 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 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 12 ms 5760 KB Output is correct
15 Correct 12 ms 5640 KB Output is correct
16 Correct 14 ms 5760 KB Output is correct
17 Correct 11 ms 5760 KB Output is correct
18 Correct 11 ms 5760 KB Output is correct
19 Correct 12 ms 5760 KB Output is correct
20 Correct 11 ms 5632 KB Output is correct
21 Correct 11 ms 5632 KB Output is correct
22 Correct 13 ms 5632 KB Output is correct
23 Correct 11 ms 5632 KB Output is correct
24 Correct 11 ms 5632 KB Output is correct
25 Correct 10 ms 5760 KB Output is correct
26 Correct 12 ms 5632 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5092 KB Output is correct
2 Correct 648 ms 53744 KB Output is correct
3 Correct 659 ms 66496 KB Output is correct
4 Correct 658 ms 53764 KB Output is correct
5 Correct 677 ms 53416 KB Output is correct
6 Correct 688 ms 55724 KB Output is correct
7 Correct 595 ms 52516 KB Output is correct
8 Correct 681 ms 67096 KB Output is correct
9 Correct 541 ms 51608 KB Output is correct
10 Correct 6 ms 5092 KB Output is correct
11 Correct 658 ms 53548 KB Output is correct
12 Correct 678 ms 68704 KB Output is correct
13 Correct 576 ms 53720 KB Output is correct
14 Correct 673 ms 53672 KB Output is correct
15 Correct 740 ms 55952 KB Output is correct
16 Correct 607 ms 51848 KB Output is correct
17 Correct 687 ms 62328 KB Output is correct
18 Correct 523 ms 51736 KB Output is correct
19 Correct 7 ms 5120 KB Output is correct
20 Correct 719 ms 54008 KB Output is correct
21 Correct 656 ms 68856 KB Output is correct
22 Correct 604 ms 53692 KB Output is correct
23 Correct 719 ms 54136 KB Output is correct
24 Correct 642 ms 54064 KB Output is correct
25 Correct 646 ms 54008 KB Output is correct
26 Correct 641 ms 54008 KB Output is correct
27 Correct 600 ms 53468 KB Output is correct
28 Correct 645 ms 55800 KB Output is correct
29 Correct 658 ms 54408 KB Output is correct
30 Correct 603 ms 53372 KB Output is correct
31 Correct 610 ms 52320 KB Output is correct
32 Correct 695 ms 62968 KB Output is correct
33 Correct 651 ms 51676 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 8 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5188 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 6 ms 5248 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 ms 5120 KB Output is correct
12 Correct 6 ms 5092 KB Output is correct
13 Correct 648 ms 53744 KB Output is correct
14 Correct 659 ms 66496 KB Output is correct
15 Correct 658 ms 53764 KB Output is correct
16 Correct 677 ms 53416 KB Output is correct
17 Correct 688 ms 55724 KB Output is correct
18 Correct 595 ms 52516 KB Output is correct
19 Correct 681 ms 67096 KB Output is correct
20 Correct 541 ms 51608 KB Output is correct
21 Correct 6 ms 5092 KB Output is correct
22 Correct 658 ms 53548 KB Output is correct
23 Correct 678 ms 68704 KB Output is correct
24 Correct 576 ms 53720 KB Output is correct
25 Correct 673 ms 53672 KB Output is correct
26 Correct 740 ms 55952 KB Output is correct
27 Correct 607 ms 51848 KB Output is correct
28 Correct 687 ms 62328 KB Output is correct
29 Correct 523 ms 51736 KB Output is correct
30 Correct 7 ms 5120 KB Output is correct
31 Correct 11 ms 5632 KB Output is correct
32 Correct 12 ms 5760 KB Output is correct
33 Correct 12 ms 5640 KB Output is correct
34 Correct 14 ms 5760 KB Output is correct
35 Correct 11 ms 5760 KB Output is correct
36 Correct 11 ms 5760 KB Output is correct
37 Correct 12 ms 5760 KB Output is correct
38 Correct 11 ms 5632 KB Output is correct
39 Correct 11 ms 5632 KB Output is correct
40 Correct 13 ms 5632 KB Output is correct
41 Correct 11 ms 5632 KB Output is correct
42 Correct 11 ms 5632 KB Output is correct
43 Correct 10 ms 5760 KB Output is correct
44 Correct 12 ms 5632 KB Output is correct
45 Correct 7 ms 5120 KB Output is correct
46 Correct 719 ms 54008 KB Output is correct
47 Correct 656 ms 68856 KB Output is correct
48 Correct 604 ms 53692 KB Output is correct
49 Correct 719 ms 54136 KB Output is correct
50 Correct 642 ms 54064 KB Output is correct
51 Correct 646 ms 54008 KB Output is correct
52 Correct 641 ms 54008 KB Output is correct
53 Correct 600 ms 53468 KB Output is correct
54 Correct 645 ms 55800 KB Output is correct
55 Correct 658 ms 54408 KB Output is correct
56 Correct 603 ms 53372 KB Output is correct
57 Correct 610 ms 52320 KB Output is correct
58 Correct 695 ms 62968 KB Output is correct
59 Correct 651 ms 51676 KB Output is correct
60 Correct 8 ms 5028 KB Output is correct
61 Correct 707 ms 55172 KB Output is correct
62 Correct 694 ms 66936 KB Output is correct
63 Correct 608 ms 55160 KB Output is correct
64 Correct 673 ms 55384 KB Output is correct
65 Correct 703 ms 55264 KB Output is correct
66 Correct 715 ms 55544 KB Output is correct
67 Correct 654 ms 55032 KB Output is correct
68 Correct 772 ms 55084 KB Output is correct
69 Correct 737 ms 56688 KB Output is correct
70 Correct 724 ms 55544 KB Output is correct
71 Correct 630 ms 54624 KB Output is correct
72 Correct 648 ms 54352 KB Output is correct
73 Correct 710 ms 62328 KB Output is correct
74 Correct 653 ms 54388 KB Output is correct