oj.uz

Submission #605194

# Submission time Handle Problem Language Result Execution time Memory
605194 2022-07-25T13:44:45 Z jhnah917 Designated Cities (JOI19_designated_cities) C++14
23 / 100
 2000 ms 18356 KB 
#pragma GCC optimize ("O3")
#pragma GCC target ("avx2")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

ll N, Q, Sum, CostTo1, C[202020], R[202020];
vector<pair<int,int>> G[202020];
int S[202020], U[202020];

void TreeDP(int v, int b=-1, ll up=0, ll dw=0){
    for(auto [i,w] : G[v]) if(i == b) CostTo1 += w, up += w;
    C[v] = dw - up;
    for(auto [i,w] : G[v]) if(i != b) TreeDP(i, v, up, dw+w);
}

inline ll CostToRoot(int root){ return CostTo1 + C[root]; }

pair<ll,ll> V[202020]; int sz;
ll DFS(int st, int v, int b){
    ll mx = 0;
    for(auto [i,w] : G[v]){
        if(i == b || U[i]) continue;
        ll nxt = DFS(st, i, v) + w;
        if(nxt > mx) swap(nxt, mx);
        if(nxt > 0) V[sz++] = {nxt, st};
    }
    return mx;
}
void CostFromRoot(int root){
    sz = 0;
    for(auto [i,w] : G[root]) if(!U[i]) V[sz++] = {DFS(i, i, -1) + w, i};
}

int GetSize(int v, int b=-1){
    S[v] = 1;
    for(auto [i,w] : G[v]) if(i != b && !U[i]) S[v] += GetSize(i, v);
    return S[v];
}

int GetCent(int v, int tot){
    int b = -1;
    while(true){
        int nxt = -1;
        for(auto [i,w] : G[v]) if(i != b && !U[i] && S[i]*2 > tot) { nxt = i; break; }
        if(nxt == -1) break;
        else b = v, v = nxt;
    }
    return v;
}

int GetAnswer(int v){
    v = GetCent(v, GetSize(v)); U[v] = 1;
    CostFromRoot(v);
    sort(V, V+sz, greater<>());

    ll now = CostToRoot(v);
    for(int k=2; k<=N; k++){
        if(k-2 < sz) now += V[k-2].first;
        R[k] = min(R[k], Sum - now);
    }

    int mx2 = -1;
    for(int i=1; i<sz; i++) if(V[i].second != V[0].second) { mx2 = i; break; }
    if(mx2 != -1){
        now = CostToRoot(v) + V[mx2].first;
        for(int k=2; k<=N; k++){
            int idx = k-2 < mx2 ? k-2 : k-1;
            if(idx < sz) now += V[idx].first;
            R[k] = min(R[k], Sum - now);
        }
    }

    return v;
}

int main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    cin >> N;
    for(int i=1; i<N; i++){
        int a, b, c, d; cin >> a >> b >> c >> d; Sum += c + d;
        G[a].emplace_back(b, c); G[b].emplace_back(a, d);
    }
    TreeDP(1);

    memset(R, 0x3f, sizeof R);
    R[1] = Sum - CostTo1 - *max_element(C+1, C+N+1);

    queue<int> que; que.push(1);
    while(!que.empty()){
        int v = que.front(); que.pop();
        v = GetAnswer(v); U[v] = 1;
        for(auto [i,w] : G[v]) if(!U[i]) que.push(i);
    }

    cin >> Q;
    for(int i=1; i<=Q; i++){
        int t; cin >> t;
        cout << R[t] << "\n";
    }
}

Compilation message

designated_cities.cpp: In function 'void TreeDP(int, int, ll, ll)':
designated_cities.cpp:12:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   12 |     for(auto [i,w] : G[v]) if(i == b) CostTo1 += w, up += w;
      |              ^
designated_cities.cpp:14:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   14 |     for(auto [i,w] : G[v]) if(i != b) TreeDP(i, v, up, dw+w);
      |              ^
designated_cities.cpp: In function 'll DFS(int, int, int)':
designated_cities.cpp:22:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   22 |     for(auto [i,w] : G[v]){
      |              ^
designated_cities.cpp: In function 'void CostFromRoot(int)':
designated_cities.cpp:32:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   32 |     for(auto [i,w] : G[root]) if(!U[i]) V[sz++] = {DFS(i, i, -1) + w, i};
      |              ^
designated_cities.cpp: In function 'int GetSize(int, int)':
designated_cities.cpp:37:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   37 |     for(auto [i,w] : G[v]) if(i != b && !U[i]) S[v] += GetSize(i, v);
      |              ^
designated_cities.cpp: In function 'int GetCent(int, int)':
designated_cities.cpp:45:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   45 |         for(auto [i,w] : G[v]) if(i != b && !U[i] && S[i]*2 > tot) { nxt = i; break; }
      |                  ^
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:93:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   93 |         for(auto [i,w] : G[v]) if(!U[i]) que.push(i);
      |                  ^

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6660 KB Output is correct
2 Correct 5 ms 6612 KB Output is correct
3 Correct 4 ms 6612 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 5 ms 6608 KB Output is correct
6 Correct 4 ms 6612 KB Output is correct
7 Correct 5 ms 6612 KB Output is correct
8 Correct 5 ms 6572 KB Output is correct
9 Correct 5 ms 6612 KB Output is correct
10 Correct 4 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6656 KB Output is correct
2 Execution timed out 2085 ms 18356 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6612 KB Output is correct
2 Execution timed out 2097 ms 18288 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6660 KB Output is correct
2 Correct 5 ms 6612 KB Output is correct
3 Correct 4 ms 6612 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 5 ms 6608 KB Output is correct
6 Correct 4 ms 6612 KB Output is correct
7 Correct 5 ms 6612 KB Output is correct
8 Correct 5 ms 6572 KB Output is correct
9 Correct 5 ms 6612 KB Output is correct
10 Correct 4 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 4 ms 6612 KB Output is correct
13 Correct 12 ms 6800 KB Output is correct
14 Correct 16 ms 6792 KB Output is correct
15 Correct 13 ms 6796 KB Output is correct
16 Correct 16 ms 6796 KB Output is correct
17 Correct 13 ms 6812 KB Output is correct
18 Correct 11 ms 6776 KB Output is correct
19 Correct 12 ms 6740 KB Output is correct
20 Correct 11 ms 6796 KB Output is correct
21 Correct 13 ms 6740 KB Output is correct
22 Correct 13 ms 6796 KB Output is correct
23 Correct 11 ms 6740 KB Output is correct
24 Correct 10 ms 6748 KB Output is correct
25 Correct 14 ms 6740 KB Output is correct
26 Correct 9 ms 6824 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6656 KB Output is correct
2 Execution timed out 2085 ms 18356 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6660 KB Output is correct
2 Correct 5 ms 6612 KB Output is correct
3 Correct 4 ms 6612 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 5 ms 6608 KB Output is correct
6 Correct 4 ms 6612 KB Output is correct
7 Correct 5 ms 6612 KB Output is correct
8 Correct 5 ms 6572 KB Output is correct
9 Correct 5 ms 6612 KB Output is correct
10 Correct 4 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 4 ms 6656 KB Output is correct
13 Execution timed out 2085 ms 18356 KB Time limit exceeded
14 Halted 0 ms 0 KB -