Submission #1108766

#	Time	Username	Problem	Language	Result	Execution time	Memory
1108766		cpptowin	Paths (RMI21_paths)	C++17	19 / 100	183 ms	119748 KiB

Main

#include <bits/stdc++.h>
#define fo(i, d, c) for (int i = d; i <= c; i++)
#define fod(i, c, d) for (int i = c; i >= d; i--)
#define maxn 1000010
#define N 1010
#define fi first
#define se second
#define pb emplace_back
#define en cout << "\n";
#define ll long long
#define bitcount(x) __builtin_popcountll(x)
#define pii pair<int, int>
#define vii vector<pii>
#define lb(x) x & -x
#define bit(i, j) ((i >> j) & 1)
#define offbit(i, j) (i ^ (1LL << j))
#define onbit(i, j) (i | (1LL << j))
#define vi vector<int>
#define all(x) x.begin(), x.end()
#define ss(x) (int)x.size()
#define UNIQUE(v) v.erase(unique(all(v)), v.end())
template <typename T1, typename T2>
bool minimize(T1 &a, T2 b)
{
    if (a > b)
    {
        a = b;
        return true;
    }
    return false;
}
template <typename T1, typename T2>
bool maximize(T1 &a, T2 b)
{
    if (a < b)
    {
        a = b;
        return true;
    }
    return false;
}
using namespace std;
const int nsqrt = 450;
const int mod = 1e9 + 7;
void add(int &x, int k)
{
    x += k;
    x %= mod;
    if (x < 0)
        x += mod;
}
void del(int &x, int k)
{
    x -= k;
    x %= mod;
    if (x < 0)
        x += mod;
}
vii ke[maxn];
int n, k;
pair<ll,int> down[maxn], up[maxn];
ll f[maxn];
int par[maxn][20];
int a[maxn];
ll num[maxn];
int h[maxn];
vi leaves;
ll ans, res[maxn];
set<pair<ll,int>> q, q1;
void dfs(int u)
{
    up[u].se = u;
    for (auto [v, w] : ke[u])
        if (v != par[u][0])
        {
            par[v][0] = u;
            h[v] = h[u] + 1;
            f[v] = f[u] + w;
            fo(i, 1, 19) par[v][i] = par[par[v][i - 1]][i - 1];
            dfs(v);
            if (maximize(up[u].fi, up[v].fi + w))
                up[u].se = up[v].se;
        }
}
void dfsdown(int u)
{
    vector<pair<ll,int>> suf(ss(ke[u]) + 2, {0, 0});
    suf[ss(ke[u]) + 1] = down[u];
    pair<ll,int> pre = {0, 0};
    fod(i, ss(ke[u]), 1)
    {
        auto [v, w] = ke[u][i - 1];
        suf[i] = suf[i + 1];
        if (v == par[u][0])
            continue;
        if (maximize(suf[i].fi, up[v].fi + w))
            suf[i].se = up[v].se;
    }
    fo(i, 1, ss(ke[u]))
    {
        auto [v, w] = ke[u][i - 1];
        if (v == par[u][0])
            continue;
        down[v] = {pre.fi + w, pre.se};
        if (maximize(down[v].fi, suf[i + 1].fi + w))
            down[v].se = suf[i + 1].se;
        if (maximize(pre.fi, up[v].fi + w))
            pre.se = up[v].se;
    }
    for (auto [v, w] : ke[u])
        if (v != par[u][0])
        {
            dfsdown(v);
        }
}
int find(int u)
{
    int cc = u;
    fod(i, 19, 0) if (up[par[u][i]].se == cc)
    {
        u = par[u][i];
    }
    return par[u][0];
}
vector<pair<int,ll>> event;
void to(int x, int y)
{
    int u = down[y].se;
    event.pb(u, num[u]);
    if (q.find({num[u], u}) != q.end())
    {
        q.erase(q.find({num[u], u}));
        num[u] = down[y].fi;
        q.insert({num[u], u});
    }
    else if (q1.find({num[u], u}) != q1.end())
    {
        q1.erase(q1.find({num[u], u}));
        ans -= num[u];
        num[u] = down[y].fi;
        ans += num[u];
        q1.insert({num[u], u});
    }
    u = up[y].se;
    event.pb(u, num[u]);
    if (q.find({num[u], u}) != q.end())
    {
        q.erase(q.find({num[u], u}));
        num[u] = up[y].fi;
        q.insert({num[u], u});
    }
    else if (q1.find({num[u], u}) != q1.end())
    {
        q1.erase(q1.find({num[u], u}));
        ans -= num[u];
        num[u] = up[y].fi;
        ans += num[u];
        q1.insert({num[u], u});
    }
    if (ss(q) and ss(q1) and q1.begin()->fi < q.rbegin()->fi)
    {
        ans -= q1.begin()->fi;
        ans += q.rbegin()->fi;
        pii it = *q1.begin();
        pii it1 = *q.rbegin();
        q1.erase(q1.find(it));
        q.erase(q.find(it1));
        q1.insert(it1);
        q.insert(it);
    }
}
void rollback()
{
    int u = event.back().fi;
    ll du = event.back().se;
    event.pop_back();
    if (q.find({num[u], u}) != q.end())
    {
        q.erase(q.find({num[u], u}));
        num[u] = du;
        q.insert({num[u], u});
    }
    else if (q1.find({num[u], u}) != q1.end())
    {
        q1.erase(q1.find({num[u], u}));
        ans -= num[u];
        num[u] = du;
        ans += num[u];
        q1.insert({num[u], u});
    }
    u = event.back().fi;
    du = event.back().se;
    event.pop_back();
    if (q.find({num[u], u}) != q.end())
    {
        q.erase(q.find({num[u], u}));
        num[u] = du;
        q.insert({num[u], u});
    }
    else if (q1.find({num[u], u}) != q1.end())
    {
        q1.erase(q1.find({num[u], u}));
        ans -= num[u];
        num[u] = du;
        ans += num[u];
        q1.insert({num[u], u});
    }
    if (ss(q) and ss(q1) and q1.begin()->fi < q.rbegin()->fi)
    {
        ans -= q1.begin()->fi;
        ans += q.rbegin()->fi;
        pii it = *q1.begin();
        pii it1 = *q.rbegin();
        q1.erase(q1.find(it));
        q.erase(q.find(it1));
        q1.insert(it1);
        q.insert(it);
    }
}
void dfs1(int u)
{
    res[u] = ans;
    for (auto [v, w] : ke[u])
        if (v != par[u][0])
        {
            to(u, v);
            dfs1(v);
            rollback();
        }
}
main()
{
#define name "TASK"
    if (fopen(name ".inp", "r"))
    {
        freopen(name ".inp", "r", stdin);
        freopen(name ".out", "w", stdout);
    }
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> n >> k;
    fo(i, 1, n - 1)
    {
        int u, v, w;
        cin >> u >> v >> w;
        ke[u].pb(v, w);
        ke[v].pb(u, w);
    }
    dfs(1);
    dfsdown(1);
    fo(i, 1, n) if (ss(ke[i]) == 1) leaves.pb(i);
    for (int it : leaves)
    {
        a[it] = max(1, find(it));
        num[it] = f[it] - f[a[it]];
        q.insert({num[it], it});
    }
    down[1] = {0, 1};
    int cc = k;
    while (ss(q) and cc > 0)
    {
        ans += q.rbegin()->fi;
        q1.insert(*q.rbegin());
        q.erase(q.find(*q.rbegin()));
        cc--;
    }
    dfs1(1);
    fo(i, 1, n) cout << res[i] << "\n";
}

Compilation message (stderr)

Main.cpp:231:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  231 | main()
      | ^~~~
Main.cpp: In function 'int main()':
Main.cpp:236:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  236 |         freopen(name ".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:237:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  237 |         freopen(name ".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 8 / 8
• Subtask 2: 11 / 11
• Subtask 3: 0 / 17
• Subtask 4: 0 / 20
• Subtask 5: 0 / 12
• Subtask 6: 0 / 32