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Submission #967400

# Submission time Handle Problem Language Result Execution time Memory
967400 2024-04-22T04:48:47 Z steveonalex Beads and wires (APIO14_beads) C++17
28 / 100
 1000 ms 6488 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
 
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b){a = b; return true;}
        return false;
    }
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b){a = b; return true;}
        return false;
    }
template <class T>
    void printArr(T& a, string separator = " ", string finish = "\n", ostream& out = cout){
        for(auto i: a) out << i << separator;
        out << finish;
    }
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const int N = 2e5 + 69;
const ll INF = 1e18 + 69;

int n;
vector<pair<int, int>> graph[N];
ll dp[N][2];

void dfs(int u, int p){
    for(pair<int, int> v: graph[u]) if (v.first != p){
        dfs(v.first, u);
    }

    ll cu = 0;
    vector<ll> reduc;
    for(pair<int, int> v: graph[u]) if (v.first != p){
        dp[u][0] += max(dp[v.first][1] + v.second, dp[v.first][0]);
        cu += max(dp[v.first][1] + v.second, dp[v.first][0]);
        reduc.push_back((v.second + dp[v.first][0]) - max(dp[v.first][1] + v.second, dp[v.first][0]));
    }
    if (reduc.size()){
        cu += (*max_element(ALL(reduc)));
        maximize(dp[u][1], cu);
    }


    if (u != p) return;
    cu = 0;
    reduc.clear();
    for(pair<int, int> v: graph[u]) if (v.first != p){
        cu += max(dp[v.first][1] + v.second, dp[v.first][0]);
        reduc.push_back((v.second + dp[v.first][0]) - max(dp[v.first][1] + v.second, dp[v.first][0]));
    }
    if (reduc.size() < 2) return;
    nth_element(reduc.begin(), reduc.begin() + 1, reduc.end(), greater<ll>());
    for(int i = 0; i<=1; ++i) cu += reduc[i];
    maximize(dp[u][0], cu);
}

int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n;
    for(int i = 1; i<n; ++i){
        int u, v, w; cin >> u >> v >> w;
        graph[u].push_back({v, w});
        graph[v].push_back({u, w});
    }

    for(int i = 1; i<=n; ++i) sort(ALL(graph[i]));

    ll ans = 0;
    for(int i = 1; i<=n; ++i){
        for(int i = 1; i<=n; ++i) {
            dp[i][0] = 0;
            dp[i][1] = -INF;
        }
        dfs(i, i);
        maximize(ans, dp[i][0]);
    }


    cout << ans << "\n";

    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 2 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 3 ms 5980 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 1 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 3 ms 5980 KB Output is correct
10 Correct 2 ms 5976 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 5980 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 2 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 3 ms 5980 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 1 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 3 ms 5980 KB Output is correct
10 Correct 2 ms 5976 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 3 ms 5980 KB Output is correct
17 Correct 3 ms 5980 KB Output is correct
18 Correct 3 ms 5980 KB Output is correct
19 Correct 3 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct
22 Correct 3 ms 5980 KB Output is correct

Subtask #3
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 2 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 3 ms 5980 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 1 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 3 ms 5980 KB Output is correct
10 Correct 2 ms 5976 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 3 ms 5980 KB Output is correct
17 Correct 3 ms 5980 KB Output is correct
18 Correct 3 ms 5980 KB Output is correct
19 Correct 3 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct
22 Correct 3 ms 5980 KB Output is correct
23 Execution timed out 1073 ms 6488 KB Time limit exceeded
24 Halted 0 ms 0 KB -

Subtask #4
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 2 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 3 ms 5980 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 1 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 3 ms 5980 KB Output is correct
10 Correct 2 ms 5976 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 3 ms 5980 KB Output is correct
17 Correct 3 ms 5980 KB Output is correct
18 Correct 3 ms 5980 KB Output is correct
19 Correct 3 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct
22 Correct 3 ms 5980 KB Output is correct
23 Execution timed out 1073 ms 6488 KB Time limit exceeded
24 Halted 0 ms 0 KB -