oj.uz

Submission #1082077

# Submission time Handle Problem Language Result Execution time Memory
1082077 2024-08-30T16:47:12 Z phong Designated Cities (JOI19_designated_cities) C++17
100 / 100
 806 ms 99792 KB 
#include<bits/stdc++.h>

#define ll long long
#define int long long
const int nmax = 2e5 + 5, N = 1e5;
const ll oo = 1e18 + 1, base = 311;
const int lg = 19, M = 10;
const ll mod = 998244353, mod2 = 1e9 + 5277;
#define pii pair<int, int>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;

int n, q;
map<int, int> mp[nmax];
ll f[nmax], rev[nmax];
vector<int> adj[nmax], leaf;
int par[nmax];
void dfs_1(int u, int p){
    bool ok = 1;
    for(auto v : adj[u]){
        if(v == p) continue;
        rev[v] = rev[u] + mp[u][v];
        dfs_1(v, u);
        f[u] += f[v] + mp[u][v];
        par[v] = u;
        ok = 0;
    }
    if(ok) leaf.push_back(u);
}
ll pre[nmax], suf[nmax], g[nmax];
struct node{
    int u,v, x, y;
}a[nmax];
void dfs_2(int u, int p){
    int k = adj[u].size();
    pre[0] = suf[k + 1] = 0;
    for(int i = 1; i <= k; ++i){
        int v = adj[u][i -1];
        pre[i] = pre[i - 1];
        if(v == p) continue;
        pre[i] += mp[u][v] + f[v];
    }
    for(int i = k; i >= 1; --i){
        int v = adj[u][i - 1];
        suf[i] = suf[i + 1];
        if(v == p) continue;
        suf[i] += mp[u][v] + f[v];
    }
    for(int i = 1; i <= k; ++i){
        int v = adj[u][i - 1];
        if(v == p) continue;
        g[v] = g[u] + mp[v][u] + pre[i - 1] + suf[i + 1];
    }
    for(auto v: adj[u]){
        if(v == p) continue;
        dfs_2(v, u);
    }
}
ll sum = 0;
int h[nmax], one[nmax];
ll dp[nmax], nchain = 1;

void dfs_3(int u, int p){
    h[u] = 0;
    for(auto v : adj[u]){
        if(v == p) continue;
        dfs_3(v, u);
        h[u] = max(h[v] + mp[v][u], h[u]);
    }
}
void dfs_4(int u, int p){
    for(auto v : adj[u]){
        one[v] = h[v] + mp[v][u];
    }
    sort(adj[u].begin(), adj[u].end(), [](int a, int b){
         return one[a] > one[b];
         });
    int idx = -1;
    for(auto v : adj[u]){
        if(v == p) continue;
        idx = v;
        break;
    }
    if(idx != -1){
        dp[nchain] += mp[idx][u];
        dfs_4(idx, u);
    }
    for(auto v : adj[u]){
        if(v == p || idx == v) continue;
        ++nchain;
        dp[nchain] += mp[v][u];
        dfs_4(v, u);
    }
}
ll S, T, dcu[nmax], ma = -oo, two[nmax];
void dfs(int u, int p){
    dcu[u] = h[u] = u;
    for(auto v : adj[u]){
        if(v == p) continue;
        rev[v] = rev[u] + mp[v][u];
        two[v] = two[u] + mp[u][v];
        dfs(v, u);

        int x = dcu[v];
        int y = dcu[u];
        if(g[x] + two[x] > g[y] + two[y]) dcu[u] = x;
        x = h[u];
        y = h[v];
        if(rev[x] < rev[y]) h[u] = y;
    }
    for(auto v : adj[u]){
        if(v == p) continue;
//        cout << dcu[v] << ' ';
    }
    int k = adj[u].size();
    pre[0] = suf[k + 1] = 0;
    for(int i = 1; i <= k; ++i){
        int v = adj[u][i - 1];
        pre[i] = pre[i - 1];
        if(v == p) continue;
        if(pre[i] == 0) pre[i] = h[v];
        else{
            int x = pre[i];
            if(rev[x] < rev[h[v]]) pre[i] = h[v];
        }
    }

    for(int i = k; i >= 1; --i){
        int v = adj[u][i - 1];
        suf[i] = suf[i + 1];
        if(v == p) continue;
        if(suf[i] == 0) suf[i] = h[v];
        else{
            int x = suf[i];
            if(rev[x] < rev[h[v]]) suf[i] = h[v];
        }
    }
    for(int i = 1; i <= k; ++i){
        int v = adj[u][i - 1];
        if(v == p) continue;
        int x = dcu[v];
        int y = pre[i - 1];
        if(y > 0){
            int cost = g[x] + two[x] - two[u] + rev[y] -rev[u];
//            if(u== 1)cout << v << ' ' << x << ' ' << y << ' ' << cost << endl;
            if(cost > ma){
                ma = cost;
                S = x;
                T = y;
            }
        }
        y = suf[i + 1];
        if(y > 0){
            int cost = g[x] + two[x] - two[u] + rev[y] -rev[u];
//            if(u == 1)cout << v << ' ' << x << ' ' << y << ' ' << cost << endl;

            if(cost > ma){
                ma = cost;
                S = x;
                T = y;
            }
        }
    }
}
ll ans[nmax];

main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
//    freopen("code.inp", "r", stdin);
//    freopen("code.out", "w", stdout);
    cin >> n;
     sum = 0;
    for(int i = 1, u, v, x, y; i < n; ++i){
        cin >> u >> v >> x >> y;
//        cout << u << ' ' << v << endl;
        adj[u].push_back(v);
        adj[v].push_back(u);
        mp[u][v] = y;
        mp[v][u] = x;
        sum += x + y;
        a[i] = {u, v, x, y};
    }
    dfs_1(1, -1);
    dfs_2(1, -1);
    ans[1] = oo;
    for(int i = 1; i <= n; ++i){
        ans[1] = min(ans[1], sum - f[i] - g[i]);
    }
    sort(leaf.begin(), leaf.end(), [](int a, int b){
         return  g[a] + rev[a] > g[b] + rev[b];
         });
    S = 1, T = leaf[0], ma = g[T];
    int x = T;
    while(x > 1){
        ma += mp[par[x]][x];
        x = par[x];
    }
    dfs(1, -1);
//    cout << S << ' ' << T<< endl;
    dfs_3(S, -1);
    dfs_4(S, -1);
    sort(dp + 1, dp + 1 + nchain, greater<ll>());
    ans[2] = sum - ma;
    for(int i = 3; i <= n; ++i){
        ans[i] = ans[i - 1] - dp[i - 1];
    }
    cin >> q;
    while(q--){
        int x;
        cin >> x;
        cout << ans[x] << endl;
    }


}
/*
5
2 4 8 4
3 4 2 2
1 2 7 6
5 4 10 10
1
2

*/

Compilation message

designated_cities.cpp:170:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  170 | main(){
      | ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15404 KB Output is correct
2 Correct 4 ms 15448 KB Output is correct
3 Correct 5 ms 15488 KB Output is correct
4 Correct 4 ms 15700 KB Output is correct
5 Correct 6 ms 15452 KB Output is correct
6 Correct 4 ms 15452 KB Output is correct
7 Correct 4 ms 15452 KB Output is correct
8 Correct 4 ms 15408 KB Output is correct
9 Correct 4 ms 15452 KB Output is correct
10 Correct 4 ms 15452 KB Output is correct
11 Correct 4 ms 15452 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 15448 KB Output is correct
2 Correct 402 ms 74964 KB Output is correct
3 Correct 480 ms 95316 KB Output is correct
4 Correct 363 ms 73668 KB Output is correct
5 Correct 470 ms 75560 KB Output is correct
6 Correct 424 ms 78100 KB Output is correct
7 Correct 617 ms 77384 KB Output is correct
8 Correct 492 ms 96292 KB Output is correct
9 Correct 806 ms 80004 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 15448 KB Output is correct
2 Correct 391 ms 75204 KB Output is correct
3 Correct 478 ms 99304 KB Output is correct
4 Correct 412 ms 73668 KB Output is correct
5 Correct 453 ms 75564 KB Output is correct
6 Correct 406 ms 78536 KB Output is correct
7 Correct 709 ms 79676 KB Output is correct
8 Correct 454 ms 88604 KB Output is correct
9 Correct 778 ms 79420 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15404 KB Output is correct
2 Correct 4 ms 15448 KB Output is correct
3 Correct 5 ms 15488 KB Output is correct
4 Correct 4 ms 15700 KB Output is correct
5 Correct 6 ms 15452 KB Output is correct
6 Correct 4 ms 15452 KB Output is correct
7 Correct 4 ms 15452 KB Output is correct
8 Correct 4 ms 15408 KB Output is correct
9 Correct 4 ms 15452 KB Output is correct
10 Correct 4 ms 15452 KB Output is correct
11 Correct 4 ms 15452 KB Output is correct
12 Correct 4 ms 15452 KB Output is correct
13 Correct 9 ms 16040 KB Output is correct
14 Correct 6 ms 16220 KB Output is correct
15 Correct 6 ms 16040 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct
17 Correct 6 ms 15964 KB Output is correct
18 Correct 6 ms 15964 KB Output is correct
19 Correct 6 ms 15964 KB Output is correct
20 Correct 7 ms 16128 KB Output is correct
21 Correct 7 ms 15980 KB Output is correct
22 Correct 6 ms 16104 KB Output is correct
23 Correct 7 ms 15964 KB Output is correct
24 Correct 7 ms 15964 KB Output is correct
25 Correct 6 ms 16220 KB Output is correct
26 Correct 6 ms 15936 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 15448 KB Output is correct
2 Correct 402 ms 74964 KB Output is correct
3 Correct 480 ms 95316 KB Output is correct
4 Correct 363 ms 73668 KB Output is correct
5 Correct 470 ms 75560 KB Output is correct
6 Correct 424 ms 78100 KB Output is correct
7 Correct 617 ms 77384 KB Output is correct
8 Correct 492 ms 96292 KB Output is correct
9 Correct 806 ms 80004 KB Output is correct
10 Correct 5 ms 15448 KB Output is correct
11 Correct 391 ms 75204 KB Output is correct
12 Correct 478 ms 99304 KB Output is correct
13 Correct 412 ms 73668 KB Output is correct
14 Correct 453 ms 75564 KB Output is correct
15 Correct 406 ms 78536 KB Output is correct
16 Correct 709 ms 79676 KB Output is correct
17 Correct 454 ms 88604 KB Output is correct
18 Correct 778 ms 79420 KB Output is correct
19 Correct 4 ms 15452 KB Output is correct
20 Correct 392 ms 75056 KB Output is correct
21 Correct 485 ms 99792 KB Output is correct
22 Correct 382 ms 73672 KB Output is correct
23 Correct 406 ms 75120 KB Output is correct
24 Correct 398 ms 73928 KB Output is correct
25 Correct 401 ms 74944 KB Output is correct
26 Correct 390 ms 73924 KB Output is correct
27 Correct 450 ms 75536 KB Output is correct
28 Correct 417 ms 77936 KB Output is correct
29 Correct 401 ms 74952 KB Output is correct
30 Correct 455 ms 75080 KB Output is correct
31 Correct 662 ms 78068 KB Output is correct
32 Correct 482 ms 89664 KB Output is correct
33 Correct 753 ms 79868 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15404 KB Output is correct
2 Correct 4 ms 15448 KB Output is correct
3 Correct 5 ms 15488 KB Output is correct
4 Correct 4 ms 15700 KB Output is correct
5 Correct 6 ms 15452 KB Output is correct
6 Correct 4 ms 15452 KB Output is correct
7 Correct 4 ms 15452 KB Output is correct
8 Correct 4 ms 15408 KB Output is correct
9 Correct 4 ms 15452 KB Output is correct
10 Correct 4 ms 15452 KB Output is correct
11 Correct 4 ms 15452 KB Output is correct
12 Correct 4 ms 15448 KB Output is correct
13 Correct 402 ms 74964 KB Output is correct
14 Correct 480 ms 95316 KB Output is correct
15 Correct 363 ms 73668 KB Output is correct
16 Correct 470 ms 75560 KB Output is correct
17 Correct 424 ms 78100 KB Output is correct
18 Correct 617 ms 77384 KB Output is correct
19 Correct 492 ms 96292 KB Output is correct
20 Correct 806 ms 80004 KB Output is correct
21 Correct 5 ms 15448 KB Output is correct
22 Correct 391 ms 75204 KB Output is correct
23 Correct 478 ms 99304 KB Output is correct
24 Correct 412 ms 73668 KB Output is correct
25 Correct 453 ms 75564 KB Output is correct
26 Correct 406 ms 78536 KB Output is correct
27 Correct 709 ms 79676 KB Output is correct
28 Correct 454 ms 88604 KB Output is correct
29 Correct 778 ms 79420 KB Output is correct
30 Correct 4 ms 15452 KB Output is correct
31 Correct 9 ms 16040 KB Output is correct
32 Correct 6 ms 16220 KB Output is correct
33 Correct 6 ms 16040 KB Output is correct
34 Correct 7 ms 15964 KB Output is correct
35 Correct 6 ms 15964 KB Output is correct
36 Correct 6 ms 15964 KB Output is correct
37 Correct 6 ms 15964 KB Output is correct
38 Correct 7 ms 16128 KB Output is correct
39 Correct 7 ms 15980 KB Output is correct
40 Correct 6 ms 16104 KB Output is correct
41 Correct 7 ms 15964 KB Output is correct
42 Correct 7 ms 15964 KB Output is correct
43 Correct 6 ms 16220 KB Output is correct
44 Correct 6 ms 15936 KB Output is correct
45 Correct 4 ms 15452 KB Output is correct
46 Correct 392 ms 75056 KB Output is correct
47 Correct 485 ms 99792 KB Output is correct
48 Correct 382 ms 73672 KB Output is correct
49 Correct 406 ms 75120 KB Output is correct
50 Correct 398 ms 73928 KB Output is correct
51 Correct 401 ms 74944 KB Output is correct
52 Correct 390 ms 73924 KB Output is correct
53 Correct 450 ms 75536 KB Output is correct
54 Correct 417 ms 77936 KB Output is correct
55 Correct 401 ms 74952 KB Output is correct
56 Correct 455 ms 75080 KB Output is correct
57 Correct 662 ms 78068 KB Output is correct
58 Correct 482 ms 89664 KB Output is correct
59 Correct 753 ms 79868 KB Output is correct
60 Correct 4 ms 15272 KB Output is correct
61 Correct 426 ms 77740 KB Output is correct
62 Correct 466 ms 97104 KB Output is correct
63 Correct 388 ms 76348 KB Output is correct
64 Correct 415 ms 77768 KB Output is correct
65 Correct 419 ms 76228 KB Output is correct
66 Correct 426 ms 77760 KB Output is correct
67 Correct 397 ms 76232 KB Output is correct
68 Correct 465 ms 78288 KB Output is correct
69 Correct 467 ms 80400 KB Output is correct
70 Correct 436 ms 77324 KB Output is correct
71 Correct 439 ms 77888 KB Output is correct
72 Correct 605 ms 81020 KB Output is correct
73 Correct 483 ms 90576 KB Output is correct
74 Correct 768 ms 84112 KB Output is correct