oj.uz

Submission #947958

# Submission time Handle Problem Language Result Execution time Memory
947958 2024-03-17T09:52:51 Z danikoynov Designated Cities (JOI19_designated_cities) C++14
100 / 100
 597 ms 65592 KB 
#include<bits/stdc++.h>
#define endl '\n'

using namespace std;
typedef long long ll;

void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}

const int maxn = 2e5 + 10;

struct edge
{
    int v, u;
    ll c, d;

    edge(int _v = 0, int _u = 0, ll _c = 0, ll _d = 0)
    {
        v = _v;
        u = _u;
        c = _c;
        d = _d;
    }
} edges[maxn];


int n;
vector < pair < int, int > > adj[maxn];

ll sum_all = 0;
void input()
{
    cin >> n;
    for (int i = 1; i < n; i ++)
    {
        cin >> edges[i].v >> edges[i].u >> edges[i].c >> edges[i].d;
        adj[edges[i].v].push_back({edges[i].u, i});
        adj[edges[i].u].push_back({edges[i].v, i});
        sum_all += edges[i].c + edges[i].d;
    }
}

const ll inf = 1e18;

ll single;
ll sub[maxn];
void calc(int v, int p)
{
    sub[v] = 0;
    for (pair < int, int > nb : adj[v])
    {
        int u = nb.first;
        if (u == p)
            continue;

        calc(u, v);
        if (v == edges[nb.second].v)
            sub[v] += edges[nb.second].d; //cout << "edge " << v << " : " << u << " : " << edges[nb.second].d << endl;
        else
            sub[v] += edges[nb.second].c;
        sub[v] += sub[u];
    }
    //cout << "calc " << v << " " << sub[v] << endl;
}

void single_dfs(int v, int p, ll val)
{
    single = max(single, val);
    ///cout << v << " : " << val << endl;
    for (pair < int, int > nb : adj[v])
    {
        int u = nb.first;
        if (u == p)
            continue;

        ll cur;
        if (v == edges[nb.second].v)
            cur = edges[nb.second].c - edges[nb.second].d;
        else
            cur = edges[nb.second].d - edges[nb.second].c;

        single_dfs(u, v, val + cur);
    }
}

void solve_single()
{
    calc(1, -1);
    single_dfs(1, -1, sub[1]);
    single = sum_all - single;
}

ll depth[maxn];
int ord[maxn], timer;
int tin[maxn], tout[maxn];
int par[maxn], ridx[maxn], marked[maxn];

void do_math(int v, int p, int id)
{
    par[v] = p;
    ridx[v] = id;
    ord[++ timer] = v;
    tin[v] = timer;
    for (pair < int, int > nb : adj[v])
    {
        int u = nb.first, idx = nb.second;
        if (u == p)
            continue;
        ll val;
        if (v == edges[idx].v)
            val = edges[idx].c;
        else
            val = edges[idx].d;
        if (marked[idx])
            val = 0;
        depth[u] = depth[v] + val;
        do_math(u, v, idx);
    }
    tout[v] = timer;
}

bool in_subtree(int v, int u)
{
    return (tin[v] <= tin[u] && tout[v] >= tout[u]);
}

void go_mark(int v)
{
    while(par[v] != -1)
    {

        marked[ridx[v]] = 1;
        v = par[v];
    }
}

int find_root()
{
    int root = 1;
    while(true)
    {

        timer = 0;
        depth[root] = 0;
        for (int i = 1; i <= n; i ++)
            marked[i] = 0;
        do_math(root, - 1, - 1);

        int d = 1;
        for (int i = 1; i <= n; i ++)
            if (depth[i] > depth[d])
                d = i;


        go_mark(d);

        timer = 0;
        depth[root] = 0;
        do_math(root, - 1, - 1);

        int f = 1;
        for (int i = 1; i <= n; i ++)
            if (depth[i] > depth[f])
                f = i;

       while(f != root && !marked[ridx[f]])
        {
            f = par[f];
        }
       return f;


    }

    return root;
}

ll values[maxn];

struct node
{
    ll mx;
    int pos;

    node (int _pos = 0, ll _mx = 0)
    {
        pos = _pos;
        mx = _mx;
    }
};

node unite(node lf, node rf)
{
    if (lf.mx > rf.mx)
        return lf;
    return rf;
}

node tree[4 * maxn];
ll lazy[4 * maxn];
void build(int root, int left, int right)
{
    if (left == right)
    {
        tree[root] = node(ord[left], depth[ord[left]]);
        return;
    }

    int mid = (left + right) / 2;
    build(root * 2, left, mid);
    build(root * 2 + 1, mid + 1, right);

    tree[root] = unite(tree[root * 2], tree[root * 2 + 1]);
    //cout << "range " << left << " " << right << " " << tree[root].pos << " " << tree[root].mx << endl;
}

void push_lazy(int root, int left, int right)
{
    if (lazy[root] != 0)
    ///cout << "apply lazy " << root << " " << left << " " << right << " " << lazy[root] << endl;
    tree[root].mx += lazy[root];
    if (left != right)
    {
        lazy[root * 2] += lazy[root];
        lazy[root * 2 + 1] += lazy[root];
    }
    lazy[root] = 0;
}

void update(int root, int left, int right, int qleft, int qright, ll val)
{
    push_lazy(root, left, right);
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        //cout << "update range " << left << " " << right << " " << val << endl;
        lazy[root] = val;
        push_lazy(root, left, right);
        return;
    }

    int mid = (left + right) / 2;
    update(root * 2, left, mid, qleft, qright, val);
    update(root * 2 + 1, mid + 1, right, qleft, qright, val);

    tree[root] = unite(tree[root * 2], tree[root * 2 + 1]);
}

int get(int root, int left, int right, int pos)
{
    push_lazy(root, left, right);
    ///cout << "get " << root << " " << left << " " << right << " " << tree[root].mx << " " << tree[root].pos << endl;
    if (left == right)
        return tree[root].mx;

    int mid = (left + right) / 2;
    if (pos <= mid)
        return get(root * 2, left, mid, pos);
    return get(root * 2 + 1, mid + 1, right, pos);
}

void clean(int v)
{
    while(par[v] != -1)
    {
        if (marked[ridx[v]])
            break;
        marked[ridx[v]] = 1;

        ll cur;
        if (edges[ridx[v]].u == v)
            cur = edges[ridx[v]].c;
        else
            cur = edges[ridx[v]].d;
                    update(1, 1, n, tin[v], tout[v], - cur);
        ///for (int i = tin[v]; i <= tout[v]; i ++)
           /// depth[ord[i]] -= cur;
        v = par[v];
    }
}

void simulate(int root)
{
    calc(root, -1);

    timer = 0;
    depth[root] = 0;
    for (int i = 1; i <= n; i ++)
        marked[i] = 0;
    do_math(root, - 1, - 1);

    int pivot = 0;
    ll so_far = sum_all - sub[root];
    ///cout << "root " << root << endl;
    build(1, 1, n);
    while(true)
    {
        node cur = tree[1];
        int d = cur.pos;
       // cout << cur.pos << " : " << cur.mx << endl;

        /**for (int i = 1; i <= n; i ++)
            if (depth[i] > depth[d])
            d = i;*/
        ///cout << "real " << d << " " << depth[d] << " to "  << get(1, 1, n, tin[11]) << endl;

        if (depth[d] == 0)
            break;
        pivot ++;
        so_far -= cur.mx;
        ///so_far -= depth[d];
        clean(d);
        values[pivot] = so_far;
    }

    int q;
    cin >> q;
    for (int i = 1; i <= q; i ++)
    {
        int e;
        cin >> e;
        if (e == 1)
        {
            cout << single << endl;
            continue;
        }
        if (e > pivot)
            e = pivot;
        cout << values[e] << endl;
    }
}
void solve()
{
    input();
    solve_single();
    int root = find_root();
    simulate(root);

}

int main()
{
    speed();
    int t = 1;
    ///cin >> t;
    while(t --)
        solve();
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 33624 KB Output is correct
2 Correct 7 ms 33628 KB Output is correct
3 Correct 6 ms 33624 KB Output is correct
4 Correct 7 ms 33628 KB Output is correct
5 Correct 6 ms 33628 KB Output is correct
6 Correct 6 ms 33628 KB Output is correct
7 Correct 6 ms 33628 KB Output is correct
8 Correct 6 ms 33628 KB Output is correct
9 Correct 6 ms 33628 KB Output is correct
10 Correct 7 ms 33628 KB Output is correct
11 Correct 6 ms 33628 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33628 KB Output is correct
2 Correct 368 ms 45140 KB Output is correct
3 Correct 547 ms 57012 KB Output is correct
4 Correct 341 ms 45248 KB Output is correct
5 Correct 336 ms 45252 KB Output is correct
6 Correct 424 ms 46868 KB Output is correct
7 Correct 296 ms 45216 KB Output is correct
8 Correct 457 ms 57496 KB Output is correct
9 Correct 265 ms 45660 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33624 KB Output is correct
2 Correct 433 ms 45144 KB Output is correct
3 Correct 485 ms 65592 KB Output is correct
4 Correct 334 ms 50324 KB Output is correct
5 Correct 397 ms 51744 KB Output is correct
6 Correct 392 ms 53740 KB Output is correct
7 Correct 273 ms 51904 KB Output is correct
8 Correct 437 ms 59428 KB Output is correct
9 Correct 259 ms 51832 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 33624 KB Output is correct
2 Correct 7 ms 33628 KB Output is correct
3 Correct 6 ms 33624 KB Output is correct
4 Correct 7 ms 33628 KB Output is correct
5 Correct 6 ms 33628 KB Output is correct
6 Correct 6 ms 33628 KB Output is correct
7 Correct 6 ms 33628 KB Output is correct
8 Correct 6 ms 33628 KB Output is correct
9 Correct 6 ms 33628 KB Output is correct
10 Correct 7 ms 33628 KB Output is correct
11 Correct 6 ms 33628 KB Output is correct
12 Correct 6 ms 33624 KB Output is correct
13 Correct 8 ms 33860 KB Output is correct
14 Correct 8 ms 33884 KB Output is correct
15 Correct 8 ms 33628 KB Output is correct
16 Correct 8 ms 33624 KB Output is correct
17 Correct 7 ms 33880 KB Output is correct
18 Correct 8 ms 33628 KB Output is correct
19 Correct 8 ms 33684 KB Output is correct
20 Correct 8 ms 33628 KB Output is correct
21 Correct 9 ms 33884 KB Output is correct
22 Correct 8 ms 33628 KB Output is correct
23 Correct 8 ms 33720 KB Output is correct
24 Correct 8 ms 34136 KB Output is correct
25 Correct 9 ms 33948 KB Output is correct
26 Correct 8 ms 33880 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33628 KB Output is correct
2 Correct 368 ms 45140 KB Output is correct
3 Correct 547 ms 57012 KB Output is correct
4 Correct 341 ms 45248 KB Output is correct
5 Correct 336 ms 45252 KB Output is correct
6 Correct 424 ms 46868 KB Output is correct
7 Correct 296 ms 45216 KB Output is correct
8 Correct 457 ms 57496 KB Output is correct
9 Correct 265 ms 45660 KB Output is correct
10 Correct 6 ms 33624 KB Output is correct
11 Correct 433 ms 45144 KB Output is correct
12 Correct 485 ms 65592 KB Output is correct
13 Correct 334 ms 50324 KB Output is correct
14 Correct 397 ms 51744 KB Output is correct
15 Correct 392 ms 53740 KB Output is correct
16 Correct 273 ms 51904 KB Output is correct
17 Correct 437 ms 59428 KB Output is correct
18 Correct 259 ms 51832 KB Output is correct
19 Correct 6 ms 33628 KB Output is correct
20 Correct 369 ms 51728 KB Output is correct
21 Correct 597 ms 65508 KB Output is correct
22 Correct 321 ms 50308 KB Output is correct
23 Correct 390 ms 51784 KB Output is correct
24 Correct 373 ms 50516 KB Output is correct
25 Correct 347 ms 51796 KB Output is correct
26 Correct 348 ms 50404 KB Output is correct
27 Correct 339 ms 51540 KB Output is correct
28 Correct 369 ms 53412 KB Output is correct
29 Correct 411 ms 51836 KB Output is correct
30 Correct 337 ms 50892 KB Output is correct
31 Correct 313 ms 51752 KB Output is correct
32 Correct 415 ms 59988 KB Output is correct
33 Correct 290 ms 52144 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 33624 KB Output is correct
2 Correct 7 ms 33628 KB Output is correct
3 Correct 6 ms 33624 KB Output is correct
4 Correct 7 ms 33628 KB Output is correct
5 Correct 6 ms 33628 KB Output is correct
6 Correct 6 ms 33628 KB Output is correct
7 Correct 6 ms 33628 KB Output is correct
8 Correct 6 ms 33628 KB Output is correct
9 Correct 6 ms 33628 KB Output is correct
10 Correct 7 ms 33628 KB Output is correct
11 Correct 6 ms 33628 KB Output is correct
12 Correct 6 ms 33628 KB Output is correct
13 Correct 368 ms 45140 KB Output is correct
14 Correct 547 ms 57012 KB Output is correct
15 Correct 341 ms 45248 KB Output is correct
16 Correct 336 ms 45252 KB Output is correct
17 Correct 424 ms 46868 KB Output is correct
18 Correct 296 ms 45216 KB Output is correct
19 Correct 457 ms 57496 KB Output is correct
20 Correct 265 ms 45660 KB Output is correct
21 Correct 6 ms 33624 KB Output is correct
22 Correct 433 ms 45144 KB Output is correct
23 Correct 485 ms 65592 KB Output is correct
24 Correct 334 ms 50324 KB Output is correct
25 Correct 397 ms 51744 KB Output is correct
26 Correct 392 ms 53740 KB Output is correct
27 Correct 273 ms 51904 KB Output is correct
28 Correct 437 ms 59428 KB Output is correct
29 Correct 259 ms 51832 KB Output is correct
30 Correct 6 ms 33624 KB Output is correct
31 Correct 8 ms 33860 KB Output is correct
32 Correct 8 ms 33884 KB Output is correct
33 Correct 8 ms 33628 KB Output is correct
34 Correct 8 ms 33624 KB Output is correct
35 Correct 7 ms 33880 KB Output is correct
36 Correct 8 ms 33628 KB Output is correct
37 Correct 8 ms 33684 KB Output is correct
38 Correct 8 ms 33628 KB Output is correct
39 Correct 9 ms 33884 KB Output is correct
40 Correct 8 ms 33628 KB Output is correct
41 Correct 8 ms 33720 KB Output is correct
42 Correct 8 ms 34136 KB Output is correct
43 Correct 9 ms 33948 KB Output is correct
44 Correct 8 ms 33880 KB Output is correct
45 Correct 6 ms 33628 KB Output is correct
46 Correct 369 ms 51728 KB Output is correct
47 Correct 597 ms 65508 KB Output is correct
48 Correct 321 ms 50308 KB Output is correct
49 Correct 390 ms 51784 KB Output is correct
50 Correct 373 ms 50516 KB Output is correct
51 Correct 347 ms 51796 KB Output is correct
52 Correct 348 ms 50404 KB Output is correct
53 Correct 339 ms 51540 KB Output is correct
54 Correct 369 ms 53412 KB Output is correct
55 Correct 411 ms 51836 KB Output is correct
56 Correct 337 ms 50892 KB Output is correct
57 Correct 313 ms 51752 KB Output is correct
58 Correct 415 ms 59988 KB Output is correct
59 Correct 290 ms 52144 KB Output is correct
60 Correct 6 ms 33628 KB Output is correct
61 Correct 381 ms 54396 KB Output is correct
62 Correct 539 ms 65236 KB Output is correct
63 Correct 349 ms 52820 KB Output is correct
64 Correct 365 ms 54284 KB Output is correct
65 Correct 406 ms 52788 KB Output is correct
66 Correct 440 ms 54180 KB Output is correct
67 Correct 433 ms 53056 KB Output is correct
68 Correct 384 ms 54396 KB Output is correct
69 Correct 384 ms 55636 KB Output is correct
70 Correct 447 ms 54244 KB Output is correct
71 Correct 352 ms 53544 KB Output is correct
72 Correct 339 ms 55112 KB Output is correct
73 Correct 439 ms 61088 KB Output is correct
74 Correct 302 ms 56456 KB Output is correct