Submission #537654

#	Time	Username	Problem	Language	Result	Execution time	Memory
537654		maomao90	Paths (RMI21_paths)	C++17	100 / 100	252 ms	13900 KiB

Main

// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define MP make_pair
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, int> pll;
#define MT make_tuple
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

#define INF 1000000005
#define LINF 1000000000000000005ll
#define MAXN 100005

int n, k;
vii adj[MAXN];

multiset<ll> st;
multiset<ll, greater<ll>> ot;
ll cur;
void insert(ll x) {
    st.insert(x);
    cur += x;
    if (st.size() > k) {
        cur -= *st.begin();
        ot.insert(*st.begin());
        st.erase(st.begin());
    }
}
void erase(ll x) {
    auto it = st.find(x);
    if (it != st.end()) {
        cur -= x;
        st.erase(it);
        if (!ot.empty()) {
            cur += *ot.begin();
            st.insert(*ot.begin());
            ot.erase(ot.begin());
        }
    } else {
        //if (ot.find(x) == ot.end()) return;
        ot.erase(ot.find(x));
    }
}

ll mx[MAXN];
void dfs(int u, int p) {
    mx[u] = 0;
    bool leaf = 1;
    for (auto [v, w] : adj[u]) {
        if (v == p) continue;
        leaf = 0;
        dfs(v, u);
        cerr << u << ' ' << v << '\n';
        erase(mx[v]);
        cerr << u << ' ' << v << '\n';
        insert(mx[v] + w);
        mxto(mx[u], mx[v] + w);
    }
    if (leaf) {
        insert(0);
    }
}

ll ans[MAXN];
void reroot(int u, int p) {
    pll fmx = MP(0, u), smx = MP(0, u);
    for (auto [v, w] : adj[u]) {
        if (mx[v] + w >= fmx.FI) {
            smx = fmx;
            fmx = MP(mx[v] + w, v);
        } else if (mx[v] + w > smx.FI) {
            smx = MP(mx[v] + w, v);
        }
    }
    cerr << u << ": " << cur << '\n';
    for (int i : st) {
        cerr << i << ' ';
    }
    cerr << '\n';
    ans[u] = cur;
    for (auto [v, w] : adj[u]) {
        if (v == p) continue;
        insert(mx[v]);
        erase(mx[v] + w);
        ll omx = mx[u];
        if (v == fmx.SE) {
            mx[u] = smx.FI;
        } else {
            mx[u] = fmx.FI;
        }
        insert(mx[u] + w);
        if (mx[u] > 0) {
            erase(mx[u]);
        }
        reroot(v, u);
        if (mx[u] > 0) {
            insert(mx[u]);
        }
        erase(mx[u] + w);
        mx[u] = omx;
        insert(mx[v] + w);
        erase(mx[v]);
    }
}

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> n >> k;
    REP (i, 1, n) {
        int a, b, c; cin >> a >> b >> c;
        adj[a].pb(MP(b, c));
        adj[b].pb(MP(a, c));
    }
    dfs(1, -1);
    reroot(1, -1);
    REP (i, 1, n + 1) {
        cout << ans[i] << '\n';
    }
    return 0;
}

Compilation message (stderr)

Main.cpp: In function 'void insert(ll)':
Main.cpp:46:19: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   46 |     if (st.size() > k) {
      |         ~~~~~~~~~~^~~

• Subtask 1: 8 / 8
• Subtask 2: 11 / 11
• Subtask 3: 17 / 17
• Subtask 4: 20 / 20
• Subtask 5: 12 / 12
• Subtask 6: 32 / 32