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Submission #717941

# Submission time Handle Problem Language Result Execution time Memory
717941 2023-04-02T21:48:29 Z vjudge1 Paths (RMI21_paths) C++17
36 / 100
 600 ms 17584 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], p[100001], 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 > 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;
    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;
    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 3708 KB Output is correct
4 Correct 9 ms 3600 KB Output is correct
5 Correct 7 ms 3540 KB Output is correct
6 Correct 11 ms 3600 KB Output is correct
7 Correct 11 ms 3592 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 3708 KB Output is correct
4 Correct 9 ms 3600 KB Output is correct
5 Correct 7 ms 3540 KB Output is correct
6 Correct 11 ms 3600 KB Output is correct
7 Correct 11 ms 3592 KB Output is correct
8 Correct 267 ms 8408 KB Output is correct
9 Correct 213 ms 8804 KB Output is correct
10 Correct 307 ms 8960 KB Output is correct
11 Correct 167 ms 7760 KB Output is correct
12 Correct 241 ms 8788 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 3708 KB Output is correct
4 Correct 9 ms 3600 KB Output is correct
5 Correct 7 ms 3540 KB Output is correct
6 Correct 11 ms 3600 KB Output is correct
7 Correct 11 ms 3592 KB Output is correct
8 Correct 267 ms 8408 KB Output is correct
9 Correct 213 ms 8804 KB Output is correct
10 Correct 307 ms 8960 KB Output is correct
11 Correct 167 ms 7760 KB Output is correct
12 Correct 241 ms 8788 KB Output is correct
13 Execution timed out 1081 ms 15692 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 120 ms 17584 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 3708 KB Output is correct
4 Correct 9 ms 3600 KB Output is correct
5 Correct 7 ms 3540 KB Output is correct
6 Correct 11 ms 3600 KB Output is correct
7 Correct 11 ms 3592 KB Output is correct
8 Correct 267 ms 8408 KB Output is correct
9 Correct 213 ms 8804 KB Output is correct
10 Correct 307 ms 8960 KB Output is correct
11 Correct 167 ms 7760 KB Output is correct
12 Correct 241 ms 8788 KB Output is correct
13 Execution timed out 1081 ms 15692 KB Time limit exceeded
14 Halted 0 ms 0 KB -