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Submission #717944

# Submission time Handle Problem Language Result Execution time Memory
717944 2023-04-02T22:02:20 Z vjudge1 Paths (RMI21_paths) C++17
36 / 100
 600 ms 17560 KB 
#include "bits/stdc++.h"
#define ll long long
using namespace std;
const ll mod = 1000000007;

ll N, Left, Right, val;
vector<pair<int, ll>> v[100001];
ll b[100001], par[100001], edge[2001][2001], be[100001], en[100001], seg[1000000], lazy[1000000], sol[100001];
bool vis[2001];
priority_queue<pair<ll, int>> pq;
int indd;

void spread(int ind) {
    seg[ind * 2] += lazy[ind];
    seg[ind * 2 + 1] += lazy[ind];
    lazy[ind * 2] += lazy[ind];
    lazy[ind * 2 + 1] += lazy[ind];
    lazy[ind] = 0;
}

void update(int l = 1, int r = N, int ind = 1) {
    if(l > r || l > Right || r < Left)
        return;
    if(l != r)
        spread(ind);
    if(l >= Left && r <= Right) {
        seg[ind] += val;
        lazy[ind] += val;
        return;
    }
    int mid = (l + r) / 2;
    update(l, mid, ind * 2);
    update(mid + 1, r, ind * 2 + 1);
    seg[ind] = max(seg[ind * 2], seg[ind * 2 + 1]);
}

void dfs2(int x) {
    vis[x] = 1;
    be[x] = indd;
    seg[indd + N] = b[x];
    indd++;
    for(auto [y, z] : v[x]) {
        if(!vis[y]) {
            b[y] = b[x] + z;
            dfs2(y);
        }
    }
    en[x] = indd;
    seg[indd + N] = b[x];
    indd++;
}

void solve(int x, ll g) {
    vis[x] = 1;
    val = g, Left = 1, Right = N;
    update();
    val = g * -2, Left = be[x] + 2, Right = en[x];
    update();
    sol[x] = seg[1];
    for(auto [y, z] : v[x]) {
        if(!vis[y])
            solve(y, z);
    }
    val = g * 2, Left = be[x] + 2, Right = en[x];
    update();
    val = -g, Left = 1, Right = N;
    update();
}

void dfs(int x) {
    vis[x] = 1;
    for(auto [y, z] : v[x]) {
        if(!vis[y]) {
            par[y] = x;
            b[y] = b[x] + z;
            pq.push({b[y], y});
            dfs(y);
        }
    }
}

ll idk1(int x) {
    ll ans = 0;
    while(par[x]) {
        if(edge[x][par[x]] == -1)
            break;
        ans += edge[x][par[x]];
        x = par[x];
    }
    return ans;
}

void idk2(int x) {
    while(par[x]) {
        if(edge[x][par[x]] == -1)
            break;
        edge[x][par[x]] = edge[par[x]][x] = -1;
        x = par[x];
    }
}

signed main () {
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    // freopen("cowland.in","r",stdin);
    // freopen("cowland.out","w",stdout);

    int n, kk;
    cin >> n >> kk;
    for(int i = 0; i < n - 1; i++) {
        ll a, b, c;
        cin >> a >> b >> c;
        v[a].push_back({b, c});
        v[b].push_back({a, c});
    }
    if(kk == 1) {
        N = exp2(ceil(log2(n * 2)));
        dfs2(1);
        for(int i = 1; i <= n; i++)
            vis[i] = 0;
        for(int i = N - 1; i >= 1; i--)
            seg[i] = max(seg[i * 2], seg[i * 2 + 1]);
        solve(1, 0);
        for(int i = 1; i <= n; i++)
            cout << sol[i] << "\n";
        return 0;
    }
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            vis[j] = 0;
            for(auto [k, val] : v[j])
                edge[j][k] = val;
        }
        while(!pq.empty())
            pq.pop();
        par[i] = b[i] = 0;
        dfs(i);
        ll k = kk, ans = 0;
        while(k--) {
            ll val = pq.top().first, x = pq.top().second;
            pq.pop();
            ll y = idk1(x);
            while(y != val) {
                pq.push({y, x});
                val = pq.top().first, x = pq.top().second;
                pq.pop();
                y = idk1(x);
            }
            ans += val;
            idk2(x);
        }
        cout << ans << "\n";
    }

    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 9 ms 3656 KB Output is correct
4 Correct 10 ms 3612 KB Output is correct
5 Correct 8 ms 3540 KB Output is correct
6 Correct 10 ms 3616 KB Output is correct
7 Correct 10 ms 3604 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 9 ms 3656 KB Output is correct
4 Correct 10 ms 3612 KB Output is correct
5 Correct 8 ms 3540 KB Output is correct
6 Correct 10 ms 3616 KB Output is correct
7 Correct 10 ms 3604 KB Output is correct
8 Correct 289 ms 8392 KB Output is correct
9 Correct 209 ms 8804 KB Output is correct
10 Correct 331 ms 9044 KB Output is correct
11 Correct 172 ms 7744 KB Output is correct
12 Correct 254 ms 8956 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 9 ms 3656 KB Output is correct
4 Correct 10 ms 3612 KB Output is correct
5 Correct 8 ms 3540 KB Output is correct
6 Correct 10 ms 3616 KB Output is correct
7 Correct 10 ms 3604 KB Output is correct
8 Correct 289 ms 8392 KB Output is correct
9 Correct 209 ms 8804 KB Output is correct
10 Correct 331 ms 9044 KB Output is correct
11 Correct 172 ms 7744 KB Output is correct
12 Correct 254 ms 8956 KB Output is correct
13 Execution timed out 1074 ms 15748 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 90 ms 17560 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 9 ms 3656 KB Output is correct
4 Correct 10 ms 3612 KB Output is correct
5 Correct 8 ms 3540 KB Output is correct
6 Correct 10 ms 3616 KB Output is correct
7 Correct 10 ms 3604 KB Output is correct
8 Correct 289 ms 8392 KB Output is correct
9 Correct 209 ms 8804 KB Output is correct
10 Correct 331 ms 9044 KB Output is correct
11 Correct 172 ms 7744 KB Output is correct
12 Correct 254 ms 8956 KB Output is correct
13 Execution timed out 1074 ms 15748 KB Time limit exceeded
14 Halted 0 ms 0 KB -