oj.uz

Submission #511478

# Submission time Handle Problem Language Result Execution time Memory
511478 2022-01-16T00:08:57 Z couplefire Designated Cities (JOI19_designated_cities) C++17
100 / 100
 590 ms 66676 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

const int N = 1<<18;

int n, q; ll ans[N];
vector<array<int, 3>> adj[N];

namespace Task1{
    ll sum, cur;

    void dfs1(int v, int p){
        for(auto [u, d1, d2] : adj[v]){
            sum += d2;
            if(u==p) continue;
            cur += d2; 
            dfs1(u, v);
        }
    }

    void dfs2(int v, int p){
        ans[1] = min(ans[1], sum-cur);
        for(auto [u, d1, d2] : adj[v]){
            if(u==p) continue;
            cur -= d2; cur += d1;
            dfs2(u, v);
            cur += d2; cur -= d1;
        }
    }

    void solve(){
        dfs1(0, 0);
        dfs2(0, 0);
    }
}

namespace Task2{
    ll sum, tot, dp[N], best[N];
    int best1, best2;

    void dfs1(int v, int p){
        for(auto [u, d1, d2] : adj[v]){
            sum += d2;
            if(u==p) continue;
            tot += d2;
            dfs1(u, v);
        }
    }

    void dfs2(int v, int p, ll val1, ll val2){
        ll tmp = tot-val1+val2;
        array<ll, 2> mx1 = {0, v}, mx2 = {0, v}; 
        best[v] = v;
        for(auto [u, d1, d2] : adj[v]){
            if(u==p) continue;
            dfs2(u, v, val1+d2, val2+d1);
            if(dp[u]+d1>dp[v])
                dp[v] = dp[u]+d1, best[v] = best[u];
            if(array<ll, 2>{dp[u]+d1, best[u]}>mx1)
                mx2 = mx1, mx1 = {dp[u]+d1, best[u]};
            else if(array<ll, 2>{dp[u]+d1, best[u]}>mx2)
                mx2 = {dp[u]+d1, best[u]};
        }
        if(sum-tmp-mx1[0]-mx2[0]<ans[2])
            best1 = mx1[1], best2 = mx2[1], ans[2] = sum-tmp-mx1[0]-mx2[0];
    }

    void solve(){
        dfs1(0, 0);
        dfs2(0, 0, 0, 0);
    }
}

namespace Task3{
    int rt;
    array<ll, 2> tree[N<<1]; ll lazy[N<<1];
    int fa[N], idx[N];
    int tin[N], tout[N], tid;
    ll sum, cur, up[N];
    bool vis[N];
    
    void push(int v, int tl, int tr){
        tree[v][0] += lazy[v];
        if(tl!=tr)
            lazy[v<<1] += lazy[v],
            lazy[v<<1|1] += lazy[v];
        lazy[v] = 0;
    }

    void upd(int l, int r, ll val, int v = 1, int tl = 0, int tr = N-1){
        push(v, tl, tr);
        if(tr<l || tl>r) return;
        if(l<=tl && tr<=r){
            lazy[v] += val;
            push(v, tl, tr);
            return;
        }
        int tm = (tl+tr)>>1;
        upd(l, r, val, v<<1, tl, tm);
        upd(l, r, val, v<<1|1, tm+1, tr);
        tree[v] = max(tree[v<<1], tree[v<<1|1]);
    }

    void dfs1(int v, int p, ll dep){
        fa[v] = p;
        tin[v] = ++tid;
        idx[tid] = v;
        upd(tin[v], tin[v], dep);
        for(auto [u, d1, d2] : adj[v]){
            sum += d2;
            if(u==p) continue;
            cur += d2;
            up[u] = d1;
            dfs1(u, v, dep+d1);
        }
        tout[v] = tid;
    }

    void solve(){
        for(int i = N; i<2*N; ++i)
            tree[i][1] = i-N;
        dfs1(rt, rt, 0);
        vis[rt] = 1;
        for(int i = 2; i<=n; ++i){
            ans[i] = i==2?sum-cur:ans[i-1];
            int v = idx[tree[1][1]];
            ans[i] -= tree[1][0];
            while(!vis[v]){
                vis[v] = 1;
                upd(tin[v], tout[v], -up[v]);
                v = fa[v];
            }
        }
    }
}

int main(){
    // freopen("a.in", "r", stdin);
    cin.tie(0)->sync_with_stdio(0);
    cin >> n;
    for(int i = 0; i<n-1; ++i){
        int a, b, c, d;
        cin >> a >> b >> c >> d;
        --a; --b;
        adj[a].push_back({b, c, d});
        adj[b].push_back({a, d, c});
    }
    memset(ans, 63, sizeof ans);
    Task1::solve();
    Task2::solve();
    Task3::rt = Task2::best1;
    Task3::solve();
    cin >> q;
    while(q--){
        int x; cin >> x;
        cout << ans[x] << '\n';
    }
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12748 KB Output is correct
2 Correct 6 ms 12748 KB Output is correct
3 Correct 6 ms 12748 KB Output is correct
4 Correct 6 ms 12724 KB Output is correct
5 Correct 7 ms 12728 KB Output is correct
6 Correct 6 ms 12748 KB Output is correct
7 Correct 6 ms 12748 KB Output is correct
8 Correct 6 ms 12748 KB Output is correct
9 Correct 6 ms 12748 KB Output is correct
10 Correct 6 ms 12748 KB Output is correct
11 Correct 6 ms 12748 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12748 KB Output is correct
2 Correct 423 ms 35712 KB Output is correct
3 Correct 535 ms 56664 KB Output is correct
4 Correct 386 ms 35796 KB Output is correct
5 Correct 467 ms 35504 KB Output is correct
6 Correct 450 ms 38840 KB Output is correct
7 Correct 372 ms 35436 KB Output is correct
8 Correct 502 ms 57496 KB Output is correct
9 Correct 346 ms 34544 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12752 KB Output is correct
2 Correct 435 ms 35836 KB Output is correct
3 Correct 575 ms 60612 KB Output is correct
4 Correct 429 ms 35864 KB Output is correct
5 Correct 418 ms 35704 KB Output is correct
6 Correct 453 ms 39492 KB Output is correct
7 Correct 333 ms 35916 KB Output is correct
8 Correct 504 ms 50060 KB Output is correct
9 Correct 320 ms 34540 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12748 KB Output is correct
2 Correct 6 ms 12748 KB Output is correct
3 Correct 6 ms 12748 KB Output is correct
4 Correct 6 ms 12724 KB Output is correct
5 Correct 7 ms 12728 KB Output is correct
6 Correct 6 ms 12748 KB Output is correct
7 Correct 6 ms 12748 KB Output is correct
8 Correct 6 ms 12748 KB Output is correct
9 Correct 6 ms 12748 KB Output is correct
10 Correct 6 ms 12748 KB Output is correct
11 Correct 6 ms 12748 KB Output is correct
12 Correct 6 ms 12748 KB Output is correct
13 Correct 8 ms 13004 KB Output is correct
14 Correct 8 ms 13072 KB Output is correct
15 Correct 9 ms 13016 KB Output is correct
16 Correct 8 ms 13004 KB Output is correct
17 Correct 8 ms 13004 KB Output is correct
18 Correct 9 ms 13004 KB Output is correct
19 Correct 11 ms 12964 KB Output is correct
20 Correct 10 ms 13024 KB Output is correct
21 Correct 9 ms 12944 KB Output is correct
22 Correct 8 ms 12912 KB Output is correct
23 Correct 8 ms 13004 KB Output is correct
24 Correct 8 ms 13004 KB Output is correct
25 Correct 11 ms 13152 KB Output is correct
26 Correct 8 ms 13004 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12748 KB Output is correct
2 Correct 423 ms 35712 KB Output is correct
3 Correct 535 ms 56664 KB Output is correct
4 Correct 386 ms 35796 KB Output is correct
5 Correct 467 ms 35504 KB Output is correct
6 Correct 450 ms 38840 KB Output is correct
7 Correct 372 ms 35436 KB Output is correct
8 Correct 502 ms 57496 KB Output is correct
9 Correct 346 ms 34544 KB Output is correct
10 Correct 6 ms 12752 KB Output is correct
11 Correct 435 ms 35836 KB Output is correct
12 Correct 575 ms 60612 KB Output is correct
13 Correct 429 ms 35864 KB Output is correct
14 Correct 418 ms 35704 KB Output is correct
15 Correct 453 ms 39492 KB Output is correct
16 Correct 333 ms 35916 KB Output is correct
17 Correct 504 ms 50060 KB Output is correct
18 Correct 320 ms 34540 KB Output is correct
19 Correct 5 ms 12748 KB Output is correct
20 Correct 470 ms 35872 KB Output is correct
21 Correct 483 ms 66676 KB Output is correct
22 Correct 410 ms 40288 KB Output is correct
23 Correct 440 ms 41712 KB Output is correct
24 Correct 461 ms 40448 KB Output is correct
25 Correct 455 ms 41668 KB Output is correct
26 Correct 436 ms 40420 KB Output is correct
27 Correct 453 ms 41520 KB Output is correct
28 Correct 476 ms 44544 KB Output is correct
29 Correct 468 ms 41636 KB Output is correct
30 Correct 406 ms 40792 KB Output is correct
31 Correct 393 ms 41480 KB Output is correct
32 Correct 590 ms 56604 KB Output is correct
33 Correct 344 ms 40536 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12748 KB Output is correct
2 Correct 6 ms 12748 KB Output is correct
3 Correct 6 ms 12748 KB Output is correct
4 Correct 6 ms 12724 KB Output is correct
5 Correct 7 ms 12728 KB Output is correct
6 Correct 6 ms 12748 KB Output is correct
7 Correct 6 ms 12748 KB Output is correct
8 Correct 6 ms 12748 KB Output is correct
9 Correct 6 ms 12748 KB Output is correct
10 Correct 6 ms 12748 KB Output is correct
11 Correct 6 ms 12748 KB Output is correct
12 Correct 6 ms 12748 KB Output is correct
13 Correct 423 ms 35712 KB Output is correct
14 Correct 535 ms 56664 KB Output is correct
15 Correct 386 ms 35796 KB Output is correct
16 Correct 467 ms 35504 KB Output is correct
17 Correct 450 ms 38840 KB Output is correct
18 Correct 372 ms 35436 KB Output is correct
19 Correct 502 ms 57496 KB Output is correct
20 Correct 346 ms 34544 KB Output is correct
21 Correct 6 ms 12752 KB Output is correct
22 Correct 435 ms 35836 KB Output is correct
23 Correct 575 ms 60612 KB Output is correct
24 Correct 429 ms 35864 KB Output is correct
25 Correct 418 ms 35704 KB Output is correct
26 Correct 453 ms 39492 KB Output is correct
27 Correct 333 ms 35916 KB Output is correct
28 Correct 504 ms 50060 KB Output is correct
29 Correct 320 ms 34540 KB Output is correct
30 Correct 6 ms 12748 KB Output is correct
31 Correct 8 ms 13004 KB Output is correct
32 Correct 8 ms 13072 KB Output is correct
33 Correct 9 ms 13016 KB Output is correct
34 Correct 8 ms 13004 KB Output is correct
35 Correct 8 ms 13004 KB Output is correct
36 Correct 9 ms 13004 KB Output is correct
37 Correct 11 ms 12964 KB Output is correct
38 Correct 10 ms 13024 KB Output is correct
39 Correct 9 ms 12944 KB Output is correct
40 Correct 8 ms 12912 KB Output is correct
41 Correct 8 ms 13004 KB Output is correct
42 Correct 8 ms 13004 KB Output is correct
43 Correct 11 ms 13152 KB Output is correct
44 Correct 8 ms 13004 KB Output is correct
45 Correct 5 ms 12748 KB Output is correct
46 Correct 470 ms 35872 KB Output is correct
47 Correct 483 ms 66676 KB Output is correct
48 Correct 410 ms 40288 KB Output is correct
49 Correct 440 ms 41712 KB Output is correct
50 Correct 461 ms 40448 KB Output is correct
51 Correct 455 ms 41668 KB Output is correct
52 Correct 436 ms 40420 KB Output is correct
53 Correct 453 ms 41520 KB Output is correct
54 Correct 476 ms 44544 KB Output is correct
55 Correct 468 ms 41636 KB Output is correct
56 Correct 406 ms 40792 KB Output is correct
57 Correct 393 ms 41480 KB Output is correct
58 Correct 590 ms 56604 KB Output is correct
59 Correct 344 ms 40536 KB Output is correct
60 Correct 6 ms 12748 KB Output is correct
61 Correct 491 ms 44336 KB Output is correct
62 Correct 535 ms 64364 KB Output is correct
63 Correct 423 ms 42932 KB Output is correct
64 Correct 514 ms 44252 KB Output is correct
65 Correct 458 ms 42840 KB Output is correct
66 Correct 578 ms 44376 KB Output is correct
67 Correct 504 ms 42916 KB Output is correct
68 Correct 508 ms 44268 KB Output is correct
69 Correct 531 ms 46980 KB Output is correct
70 Correct 537 ms 44056 KB Output is correct
71 Correct 525 ms 43540 KB Output is correct
72 Correct 433 ms 44804 KB Output is correct
73 Correct 535 ms 56612 KB Output is correct
74 Correct 407 ms 44636 KB Output is correct