oj.uz

Submission #873493

# Submission time Handle Problem Language Result Execution time Memory
873493 2023-11-15T07:17:59 Z sleepntsheep Paths (RMI21_paths) C++17
48 / 100
 600 ms 17956 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[2004], tout[2004], P[2004][2], rv[2004],del[2004], timer;
    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;
            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)
    {
        del[u]=0;
        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()
    {
        auto  x = t.qry(0,n-1,0,0,n-1);
        if (x.first <= 0) return;
        ans += x.first;
        for (int c = x.second; P[c][0]; c = P[c][0])
            if(!del[c]) t.upd(tin[c], tout[c], -P[c][1], 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);
        assert(timer==n);
        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 1 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 1 ms 8796 KB Output is correct
3 Correct 5 ms 8792 KB Output is correct
4 Correct 6 ms 9048 KB Output is correct
5 Correct 4 ms 8976 KB Output is correct
6 Correct 7 ms 8792 KB Output is correct
7 Correct 6 ms 8792 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 1 ms 8796 KB Output is correct
3 Correct 5 ms 8792 KB Output is correct
4 Correct 6 ms 9048 KB Output is correct
5 Correct 4 ms 8976 KB Output is correct
6 Correct 7 ms 8792 KB Output is correct
7 Correct 6 ms 8792 KB Output is correct
8 Correct 106 ms 8792 KB Output is correct
9 Correct 175 ms 9036 KB Output is correct
10 Correct 166 ms 9008 KB Output is correct
11 Correct 59 ms 8796 KB Output is correct
12 Correct 112 ms 8796 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 1 ms 8796 KB Output is correct
3 Correct 5 ms 8792 KB Output is correct
4 Correct 6 ms 9048 KB Output is correct
5 Correct 4 ms 8976 KB Output is correct
6 Correct 7 ms 8792 KB Output is correct
7 Correct 6 ms 8792 KB Output is correct
8 Correct 106 ms 8792 KB Output is correct
9 Correct 175 ms 9036 KB Output is correct
10 Correct 166 ms 9008 KB Output is correct
11 Correct 59 ms 8796 KB Output is correct
12 Correct 112 ms 8796 KB Output is correct
13 Execution timed out 790 ms 9288 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 16216 KB Output is correct
2 Correct 47 ms 17956 KB Output is correct
3 Correct 38 ms 15952 KB Output is correct
4 Correct 38 ms 16208 KB Output is correct
5 Correct 42 ms 16928 KB Output is correct
6 Correct 38 ms 16340 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 1 ms 8796 KB Output is correct
3 Correct 5 ms 8792 KB Output is correct
4 Correct 6 ms 9048 KB Output is correct
5 Correct 4 ms 8976 KB Output is correct
6 Correct 7 ms 8792 KB Output is correct
7 Correct 6 ms 8792 KB Output is correct
8 Correct 106 ms 8792 KB Output is correct
9 Correct 175 ms 9036 KB Output is correct
10 Correct 166 ms 9008 KB Output is correct
11 Correct 59 ms 8796 KB Output is correct
12 Correct 112 ms 8796 KB Output is correct
13 Execution timed out 790 ms 9288 KB Time limit exceeded
14 Halted 0 ms 0 KB -