Submission #717948

# Submission time Handle Problem Language Result Execution time Memory
717948 2023-04-02T22:24:37 Z vjudge1 Paths (RMI21_paths) C++17
36 / 100
600 ms 17628 KB
#include "bits/stdc++.h"
#define ll long long
using namespace std;
const ll mod = 1000000007;

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

    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;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 9 ms 3540 KB Output is correct
4 Correct 9 ms 3540 KB Output is correct
5 Correct 8 ms 3492 KB Output is correct
6 Correct 12 ms 3620 KB Output is correct
7 Correct 10 ms 3608 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 9 ms 3540 KB Output is correct
4 Correct 9 ms 3540 KB Output is correct
5 Correct 8 ms 3492 KB Output is correct
6 Correct 12 ms 3620 KB Output is correct
7 Correct 10 ms 3608 KB Output is correct
8 Correct 298 ms 8376 KB Output is correct
9 Correct 216 ms 8908 KB Output is correct
10 Correct 319 ms 8984 KB Output is correct
11 Correct 172 ms 7636 KB Output is correct
12 Correct 248 ms 8952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 9 ms 3540 KB Output is correct
4 Correct 9 ms 3540 KB Output is correct
5 Correct 8 ms 3492 KB Output is correct
6 Correct 12 ms 3620 KB Output is correct
7 Correct 10 ms 3608 KB Output is correct
8 Correct 298 ms 8376 KB Output is correct
9 Correct 216 ms 8908 KB Output is correct
10 Correct 319 ms 8984 KB Output is correct
11 Correct 172 ms 7636 KB Output is correct
12 Correct 248 ms 8952 KB Output is correct
13 Execution timed out 1071 ms 15628 KB Time limit exceeded
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 134 ms 17628 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 9 ms 3540 KB Output is correct
4 Correct 9 ms 3540 KB Output is correct
5 Correct 8 ms 3492 KB Output is correct
6 Correct 12 ms 3620 KB Output is correct
7 Correct 10 ms 3608 KB Output is correct
8 Correct 298 ms 8376 KB Output is correct
9 Correct 216 ms 8908 KB Output is correct
10 Correct 319 ms 8984 KB Output is correct
11 Correct 172 ms 7636 KB Output is correct
12 Correct 248 ms 8952 KB Output is correct
13 Execution timed out 1071 ms 15628 KB Time limit exceeded
14 Halted 0 ms 0 KB -