oj.uz

Submission #427069

# Submission time Handle Problem Language Result Execution time Memory
427069 2021-06-14T12:09:04 Z Hideo Designated Cities (JOI19_designated_cities) C++17
39 / 100
 2000 ms 94024 KB 
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx,avx2,fma")

#include <bits/stdc++.h>
using namespace std;

#define all(s) s.begin(), s.end()
#define int long long
#define fr first
#define sc second
#define pb push_back
#define mk make_pair
#define pi pair < int, int >

const int N = 2e5 + 7;
const int INF = 1e9 + 7;

pi t[2 * N];
int lz[N];
int p[N][20], h[2][N], w[N];
int tin[N], tout[N], tim;
int ans[N];
int n, rt, sum, s_up;

vector < pair < int, pi > > g[N];

pi lr[N], lg[2][N];
int rv[N], del[N], cnt = -1;
vector < int > a;

int lc, x, y;

void dfs (int v, int pr = 0){
    lg[0][v] = lg[1][v] = {0, v};
    lr[v] = {INF, -INF};
    tin[v] = ++tim;
    p[v][0] = pr;
    for (int j = 1; j < 20; j++)
        p[v][j] = p[p[v][j - 1]][j - 1];
    for (auto to : g[v]){
        if (to.fr != pr){
            s_up += to.sc.sc;
            h[0][to.fr] = h[0][v] + to.sc.fr;
            h[1][to.fr] = h[1][v] + to.sc.sc;
            dfs(to.fr, v);
            lr[v].fr = min(lr[v].fr, lr[to.fr].fr);
            lr[v].sc = max(lr[v].sc, lr[to.fr].sc);
            if (lg[0][v].fr < lg[0][to.fr].fr + to.sc.fr){
                swap(lg[0][v], lg[1][v]);
                lg[0][v] = {lg[0][to.fr].fr + to.sc.fr, lg[0][to.fr].sc};
            }
            else if (lg[1][v].fr < lg[0][to.fr].fr + to.sc.fr)
                lg[1][v] = {lg[0][to.fr].fr + to.sc.fr, lg[0][to.fr].sc};
        }
    }
    tout[v] = tim;
    if (g[v].size() == 1){
        rv[v] = ++cnt;
        lr[v] = {rv[v], rv[v]};
        a.pb(v);
    }
}

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

int lca (int v, int u){
    if (check(v, u))
        return v;
    if (check(u, v))
        return u;
    for (int j = 19; j >= 0; j--)
        if (p[v][j] && !check(p[v][j], u))
            v = p[v][j];
    return p[v][0];
}

inline int dis (int vv, int uu){
    int pp = lca(vv, uu);
    return h[1][vv] - h[1][pp] + h[0][uu] - h[0][pp];
}

int hg;

inline void apply(int p, int value) {
  t[p].fr += value;
  if (p < cnt) lz[p] += value;
}

void build(int p) {
  while (p > 1) {
    p >>= 1;
    if (t[p<<1].fr > t[p<<1|1].fr)
        t[p] = t[p<<1];
    else
        t[p] = t[p<<1|1];
    t[p].fr += lz[p];
  }
}

void push(int p) {
  for (int s = hg; s > 0; --s) {
    int i = p >> s;
    if (lz[i] != 0) {

      t[i<<1].fr += lz[i];
      if ((i << 1) < cnt)
        lz[i<<1] += lz[i];

      t[i<<1|1].fr += lz[i];
      if ((i<<1|1) < cnt)
        lz[i<<1|1] += lz[i];
      lz[i] = 0;
    }
  }
}

void upd(int l, int r, int value) {
  l += cnt, r += cnt;
  int l0 = l, r0 = r;
  for (; l < r; l >>= 1, r >>= 1) {
    if (l&1){
        t[l].fr += value;
        if (l < cnt)
            lz[l] += value;
        l++;
    }
    if (r&1){
        t[--r].fr += value;
        if (r < cnt)
            lz[r] += value;
    }
  }
  build(l0);
  build(r0 - 1);
}

pi query(int l, int r) {
  l += cnt, r += cnt;
  push(l);
  push(r - 1);
  pi res = {0, 0};
  for (; l < r; l >>= 1, r >>= 1){
    if (l&1 && res.fr < t[l++].fr){
        res = t[l - 1];
    }
    if (r&1 && res.fr < t[--r].fr){
        res = t[r];
    }
  }
  return res;
}

void prec (int v, int pr = 0){
    for (auto to : g[v]){
        if (to.fr != pr){
            prec(to.fr, v);
            if (check(to.fr, lc))
                w[to.fr] = to.sc.sc;
            else
                w[to.fr] = to.sc.fr;
        }
    }
}

int negr, negr2;

vector < pi > prs;

void reroot (int v, int pr = 0, pi up = {0, 0}){
    if (up.fr > lg[0][v].fr){
        prs.pb({v, up.sc});
        lg[0][v] = up;
    }
    else
        prs.pb({v, lg[0][v].sc});
    for (auto to : g[v]){
        if (to.fr != pr){
            if (lg[0][v].sc == lg[0][to.fr].sc){
                reroot(to.fr, v, {lg[1][v].fr + to.sc.sc, lg[1][v].sc});
            }
            else {
                reroot(to.fr, v, {lg[0][v].fr + to.sc.sc, lg[0][v].sc});
            }
        }
    }
}

main (){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n;
    for (int i = 1; i < n; i++){
        int a, b, c, d;
        cin >> a >> b >> c >> d;
        negr = c;
        negr2 = d;
        g[a].pb({b, {c, d}});
        g[b].pb({a, {d, c}});
        sum += c + d;
    }
    if (n == 2){
        ans[1] = max(negr, negr2);
        ans[2] = sum;
        int q;
        cin >> q;
        for (int i = 1; i <= q; i++){
            int e;
            cin >> e;
            cout << sum - ans[e] << endl;
        }
        return 0;
    }
    for (int i = 1; i <= n; i++){
        if (g[i].size() > 1){
            rt = i;
            break;
        }
    }
    dfs(rt);
    for (int i = 1; i <= n; i++){
        ans[1] = max(ans[1], s_up - h[1][i] + h[0][i]);
    }
    reroot(rt);
    int mx = 0;
    for (pi it : prs){
        int v = it.fr, u = it.sc;
        int l = lca(v, u);
        if (mx < s_up - h[1][l] + h[0][l] + h[0][v] + h[0][u] - 2 * h[0][l]){
            mx = s_up - h[1][l] + h[0][l] + h[0][v] + h[0][u] - 2 * h[0][l];
            x = v, y = u;
        }
    }
    ans[2] = mx;
    lc = lca(x, y);
    cnt++;
    hg = sizeof(int) * 8 - __builtin_clz(cnt);
    prec(rt);
    for (int i = 0; i < cnt; i++){
        t[cnt + i].sc = i;
    }
    for (int i = 0; i < cnt; i++){
        upd(i, i + 1, dis(lc, a[i]));
    }
    del[0] = 1;
    del[lc] = 1;
    while (x != lc){
        del[x] = 1;
        upd(lr[x].fr, lr[x].sc + 1, -w[x]);
        w[x] = 0;
        x = p[x][0];
    }
    while (y != lc){
        del[y] = 1;
        upd(lr[y].fr, lr[y].sc + 1, -w[y]);
        w[y] = 0;
        y = p[y][0];
    }
    for (int i = 3; i <= cnt; i++){
        pi temp = t[1];
        int it = temp.sc, val = temp.fr;
        ans[i] = ans[i - 1] + val;
//        cout << a[it] << ' ' << val << endl;
        if (lr[lc].fr <= it && it <= lr[lc].sc){
            int v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(lr[v].fr, lr[v].sc + 1, -w[v]);
//                cout << v << ' ' << lr[v].fr << ' ' << lr[v].sc << ' ' << w[v] << endl;
                w[v] = 0;
                v = p[v][0];
            }
        }
        else {
            int nw = lca(lc, a[it]);
            int v = lc;
            while (v != nw){
                if (lr[v].fr > 0){
                    upd(0, lr[v].fr, -w[v]);
//                    cout << v << ' ' << 1 << ' ' << lr[v].fr << ' ' << w[v] << endl;
                }
                if (lr[v].sc < cnt - 1){
                    upd(lr[v].sc + 1, cnt, -w[v]);
//                    cout << v << ' ' << lr[v].sc + 2 << ' ' << cnt << ' ' << w[v] << endl;
                }
                w[v] = 0;
                v = p[v][0];
                del[v] = 1;
            }
            v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(lr[v].fr, lr[v].sc + 1, -w[v]);
//                cout << v << ' ' << lr[v].fr + 1 << ' ' << lr[v].sc + 1 << ' ' << w[v] << endl;
                w[v] = 0;
                v = p[v][0];
            }
        }
    }
    for (int i = cnt + 1; i <= n; i++)
        ans[i] = sum;
    int q;
    cin >> q;
    for (int i = 1; i <= q; i++){
        int e;
        cin >> e;
        cout << sum - ans[e] << endl;
    }
}

Compilation message

designated_cities.cpp:190:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  190 | main (){
      | ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 4 ms 5068 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5016 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 651 ms 78360 KB Output is correct
3 Correct 657 ms 90844 KB Output is correct
4 Correct 653 ms 78404 KB Output is correct
5 Correct 624 ms 79592 KB Output is correct
6 Correct 744 ms 81076 KB Output is correct
7 Correct 596 ms 81028 KB Output is correct
8 Correct 657 ms 93480 KB Output is correct
9 Correct 576 ms 84384 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 731 ms 78312 KB Output is correct
3 Correct 626 ms 93848 KB Output is correct
4 Correct 572 ms 78392 KB Output is correct
5 Correct 738 ms 79552 KB Output is correct
6 Correct 629 ms 81492 KB Output is correct
7 Correct 577 ms 84356 KB Output is correct
8 Correct 685 ms 88988 KB Output is correct
9 Correct 536 ms 84392 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 4 ms 5068 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5016 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 13 ms 5884 KB Output is correct
14 Correct 10 ms 5964 KB Output is correct
15 Correct 11 ms 5836 KB Output is correct
16 Correct 10 ms 5836 KB Output is correct
17 Correct 12 ms 5836 KB Output is correct
18 Correct 9 ms 5836 KB Output is correct
19 Correct 12 ms 5864 KB Output is correct
20 Correct 10 ms 5836 KB Output is correct
21 Correct 9 ms 5836 KB Output is correct
22 Correct 9 ms 5836 KB Output is correct
23 Correct 10 ms 5880 KB Output is correct
24 Correct 9 ms 5892 KB Output is correct
25 Correct 9 ms 5964 KB Output is correct
26 Correct 12 ms 5836 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 651 ms 78360 KB Output is correct
3 Correct 657 ms 90844 KB Output is correct
4 Correct 653 ms 78404 KB Output is correct
5 Correct 624 ms 79592 KB Output is correct
6 Correct 744 ms 81076 KB Output is correct
7 Correct 596 ms 81028 KB Output is correct
8 Correct 657 ms 93480 KB Output is correct
9 Correct 576 ms 84384 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 731 ms 78312 KB Output is correct
12 Correct 626 ms 93848 KB Output is correct
13 Correct 572 ms 78392 KB Output is correct
14 Correct 738 ms 79552 KB Output is correct
15 Correct 629 ms 81492 KB Output is correct
16 Correct 577 ms 84356 KB Output is correct
17 Correct 685 ms 88988 KB Output is correct
18 Correct 536 ms 84392 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 669 ms 78340 KB Output is correct
21 Correct 676 ms 94024 KB Output is correct
22 Correct 658 ms 78388 KB Output is correct
23 Correct 722 ms 78672 KB Output is correct
24 Execution timed out 2045 ms 77724 KB Time limit exceeded
25 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 4 ms 5068 KB Output is correct
6 Correct 4 ms 5068 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5016 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 651 ms 78360 KB Output is correct
14 Correct 657 ms 90844 KB Output is correct
15 Correct 653 ms 78404 KB Output is correct
16 Correct 624 ms 79592 KB Output is correct
17 Correct 744 ms 81076 KB Output is correct
18 Correct 596 ms 81028 KB Output is correct
19 Correct 657 ms 93480 KB Output is correct
20 Correct 576 ms 84384 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct
22 Correct 731 ms 78312 KB Output is correct
23 Correct 626 ms 93848 KB Output is correct
24 Correct 572 ms 78392 KB Output is correct
25 Correct 738 ms 79552 KB Output is correct
26 Correct 629 ms 81492 KB Output is correct
27 Correct 577 ms 84356 KB Output is correct
28 Correct 685 ms 88988 KB Output is correct
29 Correct 536 ms 84392 KB Output is correct
30 Correct 4 ms 4940 KB Output is correct
31 Correct 13 ms 5884 KB Output is correct
32 Correct 10 ms 5964 KB Output is correct
33 Correct 11 ms 5836 KB Output is correct
34 Correct 10 ms 5836 KB Output is correct
35 Correct 12 ms 5836 KB Output is correct
36 Correct 9 ms 5836 KB Output is correct
37 Correct 12 ms 5864 KB Output is correct
38 Correct 10 ms 5836 KB Output is correct
39 Correct 9 ms 5836 KB Output is correct
40 Correct 9 ms 5836 KB Output is correct
41 Correct 10 ms 5880 KB Output is correct
42 Correct 9 ms 5892 KB Output is correct
43 Correct 9 ms 5964 KB Output is correct
44 Correct 12 ms 5836 KB Output is correct
45 Correct 3 ms 4940 KB Output is correct
46 Correct 669 ms 78340 KB Output is correct
47 Correct 676 ms 94024 KB Output is correct
48 Correct 658 ms 78388 KB Output is correct
49 Correct 722 ms 78672 KB Output is correct
50 Execution timed out 2045 ms 77724 KB Time limit exceeded
51 Halted 0 ms 0 KB -