oj.uz

Submission #873488

# Submission time Handle Problem Language Result Execution time Memory
873488 2023-11-15T07:14:16 Z sleepntsheep Paths (RMI21_paths) C++17
48 / 100
 189 ms 18008 KB 
#include <cstdio>
#include <cstring>
#include <cassert>
#include <string>
#include <deque>
#include <vector>
#include <map>
#include <queue>
#include <algorithm>
#include <iostream>
#include <utility>
using namespace std;
using ll = long long;
using ld = long double;
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false)

#define N 200005
#define ALL(x) x.begin(), x.end()

#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,tune=native")


int n, k;
vector<pair<int, int>> g[N];

namespace sub123
{
    ll dp[1001][101];
    int sz[N];

    void dfs1(int u, int p)
    {
        dp[u][0] = dp[u][1] = 0;
        sz[u] = 1;
        for (auto [w, v] : g[u]) if (v != p)
        {
            dfs1(v, u);
            for (int i = sz[u]; i >= 0; --i)
                for (int j = 1; i+j <= k && j <= sz[v]; ++j)
                    dp[u][i+j] = max(dp[u][i+j], dp[u][i] + dp[v][j] + w);
            sz[u] += sz[v];
        }
    }

    ll oneroot(int u)
    {
        memset(dp, 0xbf, sizeof dp);
        dfs1(u, u);
        return dp[u][k];
    }
};

namespace sub5
{
    ll dp2[N], dp3[N], dp4[N];
    void dfs2(int u, int p)
    {
        dp2[u] = 0;
        for (auto [w, v] : g[u]) if (v != p)
        {
            dfs2(v, u);
            if (dp2[v] + w >= dp2[u]) dp3[u] = dp2[u], dp2[u] = dp2[v] + w;
            else if (dp2[v] + w >= dp3[u]) dp3[u] = dp2[v] + w;
        }
    }

    void dfs3(int u, int p)
    {
        for (auto [w, v] : g[u]) if (v != p)
        {
            if (dp2[v] + w == dp2[u]) dp4[v] = max(dp4[u] + w, dp3[u] + w);
            else dp4[v] = max(dp4[u] + w, dp2[u] + w);
            dfs3(v, u);
        }
    }
};

namespace sub4
{
    int tin[2001], tout[2001], timer, P[2001][2], rv[2001],del[2001];
    ll rt[N]{0};

    struct segtree
    {
        pair<ll, int> t[4005]; ll lz[4005]{0};
        segtree() { }

        void build(int v, int l, int r)
        {
            lz[v]=0;del[rv[v]]=0;
            if (l >= r) {
                int u = rv[l];
                if (tin[u]==tout[u]) t[v] = {rt[u], u};
                else t[v] = {-0,u};
                return;
            }
            int m = (l+r)/2,vl=v+1,vr=v+(m-l+1)*2;
            build(vl,l,m),build(vr,m+1,r);
            t[v]=max(t[vl],t[vr]);
        }

        void push(int v, int l, int r)
        {
            if (!lz[v])return;
            t[v].first+=lz[v];
            if(l-r)
            {
                int m = (l+r)/2,vl=v+1,vr=v+(m-l+1)*2;
                lz[vl]+=lz[v];lz[vr]+=lz[v];
            }
            lz[v]=0;
        }

        pair<ll, int> qry(int x, int y, int v, int l, int r)
        {
            push(v,l,r);
            if (y<l||r<x) return {-1e18, -1e9};
            if (x<=l&&r<=y)return t[v];
            int m = (l+r)/2,vl=v+1,vr=v+(m-l+1)*2;
            return max(qry(x, y, vl,l,m),qry(x,y,vr,m+1,r));
        }

        void upd(int x, int y, int k, int v, int l, int r)
        {
            push(v,l,r);
            if (y<l||r<x) return;
            if (x<=l&&r<=y){lz[v]=k;push(v,l,r);return;}
            int m = (l+r)/2,vl=v+1,vr=v+(m-l+1)*2;
            upd(x, y,k,vl,l,m),upd(x,y,k,vr,m+1,r);
            t[v]=max(t[vl],t[vr]);
        }

    } t;

    void dfs1(int u, int p)
    {
        rv[tin[u] = timer++] = u;
        for (auto [w, v] : g[u]) if (v-p) rt[v]=rt[P[v][0]=u]+(P[v][1]=w),dfs1(v, u);
        tout[u] = timer - 1;
    }

    ll ans;
    void process()
    {
        pair<ll,int> x = t.qry(0,n-1,0,0,n-1);
        //cerr<<"("<<x.first<<", "<<x.second<<")"<<endl;
        if (x.first <= 0) return;
        ans += x.first;
        for (int c = x.second; P[c][0]; c = P[c][0])
        {
            int w = P[c][1];
            //cerr<<"Erasing "<<-w<<endl;
            if(!del[c]) t.upd(tin[c], tout[c], -w, 0, 0, n-1), del[c]=1;
        }
    }

    ll oneroot(int root)
    {
        P[root][0]=P[root][1]=rt[root]=ans=timer=0;
        dfs1(root,root);
        t.build(0,0,n-1);
        for (int I = k; I--;) process();
        return ans;
    }
};

int main()
{
    ShinLena;
    cin >> n >> k;
    for (int u, v, w, i = 1; i < n; ++i) cin >> u >> v >> w, g[u].emplace_back(w, v), g[v].emplace_back(w, u);

    if (k == 1)
    {
        sub5::dfs2(1, 1);
        sub5::dfs3(1, 1);
        for (int i = 1; i <= n; ++i) cout << max(sub5::dp2[i], sub5::dp4[i]) << '\n';
    }
    else if (n <= 2000)
    {
        for (int i = 1; i <= n; ++i) cout << sub4::oneroot(i) << '\n';
    }
    else if (n <= 1002)
    {
        for (int i = 1; i <= n; ++i) cout << sub123::oneroot(i) << '\n';
    }
    else
    {
    }

    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 6 ms 8796 KB Output is correct
4 Correct 6 ms 8796 KB Output is correct
5 Correct 3 ms 8796 KB Output is correct
6 Correct 7 ms 8796 KB Output is correct
7 Correct 6 ms 8884 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 6 ms 8796 KB Output is correct
4 Correct 6 ms 8796 KB Output is correct
5 Correct 3 ms 8796 KB Output is correct
6 Correct 7 ms 8796 KB Output is correct
7 Correct 6 ms 8884 KB Output is correct
8 Correct 113 ms 8796 KB Output is correct
9 Correct 189 ms 9000 KB Output is correct
10 Correct 164 ms 8796 KB Output is correct
11 Correct 63 ms 8792 KB Output is correct
12 Correct 107 ms 9012 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 6 ms 8796 KB Output is correct
4 Correct 6 ms 8796 KB Output is correct
5 Correct 3 ms 8796 KB Output is correct
6 Correct 7 ms 8796 KB Output is correct
7 Correct 6 ms 8884 KB Output is correct
8 Correct 113 ms 8796 KB Output is correct
9 Correct 189 ms 9000 KB Output is correct
10 Correct 164 ms 8796 KB Output is correct
11 Correct 63 ms 8792 KB Output is correct
12 Correct 107 ms 9012 KB Output is correct
13 Runtime error 9 ms 18008 KB Execution killed with signal 11
14 Halted 0 ms 0 KB -

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 16220 KB Output is correct
2 Correct 42 ms 17748 KB Output is correct
3 Correct 38 ms 15952 KB Output is correct
4 Correct 39 ms 16208 KB Output is correct
5 Correct 48 ms 17132 KB Output is correct
6 Correct 37 ms 16080 KB Output is correct

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 6 ms 8796 KB Output is correct
4 Correct 6 ms 8796 KB Output is correct
5 Correct 3 ms 8796 KB Output is correct
6 Correct 7 ms 8796 KB Output is correct
7 Correct 6 ms 8884 KB Output is correct
8 Correct 113 ms 8796 KB Output is correct
9 Correct 189 ms 9000 KB Output is correct
10 Correct 164 ms 8796 KB Output is correct
11 Correct 63 ms 8792 KB Output is correct
12 Correct 107 ms 9012 KB Output is correct
13 Runtime error 9 ms 18008 KB Execution killed with signal 11
14 Halted 0 ms 0 KB -