oj.uz

Submission #427045

# Submission time Handle Problem Language Result Execution time Memory
427045 2021-06-14T12:00:08 Z Hideo Designated Cities (JOI19_designated_cities) C++17
39 / 100
 2000 ms 94072 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;

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) {
      apply(i<<1, lz[i]);
      apply(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) apply(l++, value);
    if (r&1) apply(--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 = query(0, cnt);
        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:175:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  175 | main (){
      | ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 5 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5068 KB Output is correct
6 Correct 5 ms 5068 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5068 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 791 ms 78352 KB Output is correct
3 Correct 734 ms 90896 KB Output is correct
4 Correct 696 ms 78352 KB Output is correct
5 Correct 743 ms 79620 KB Output is correct
6 Correct 782 ms 81104 KB Output is correct
7 Correct 613 ms 81016 KB Output is correct
8 Correct 668 ms 93736 KB Output is correct
9 Correct 715 ms 84304 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5012 KB Output is correct
2 Correct 742 ms 78392 KB Output is correct
3 Correct 639 ms 93956 KB Output is correct
4 Correct 666 ms 78396 KB Output is correct
5 Correct 647 ms 79540 KB Output is correct
6 Correct 770 ms 81404 KB Output is correct
7 Correct 694 ms 84336 KB Output is correct
8 Correct 765 ms 88924 KB Output is correct
9 Correct 629 ms 84232 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 5 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5068 KB Output is correct
6 Correct 5 ms 5068 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 5 ms 4940 KB Output is correct
13 Correct 11 ms 5880 KB Output is correct
14 Correct 9 ms 5964 KB Output is correct
15 Correct 10 ms 5836 KB Output is correct
16 Correct 10 ms 5836 KB Output is correct
17 Correct 11 ms 5836 KB Output is correct
18 Correct 11 ms 5836 KB Output is correct
19 Correct 12 ms 5836 KB Output is correct
20 Correct 10 ms 5880 KB Output is correct
21 Correct 10 ms 5892 KB Output is correct
22 Correct 10 ms 5836 KB Output is correct
23 Correct 11 ms 5892 KB Output is correct
24 Correct 10 ms 5836 KB Output is correct
25 Correct 10 ms 6048 KB Output is correct
26 Correct 10 ms 5796 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 791 ms 78352 KB Output is correct
3 Correct 734 ms 90896 KB Output is correct
4 Correct 696 ms 78352 KB Output is correct
5 Correct 743 ms 79620 KB Output is correct
6 Correct 782 ms 81104 KB Output is correct
7 Correct 613 ms 81016 KB Output is correct
8 Correct 668 ms 93736 KB Output is correct
9 Correct 715 ms 84304 KB Output is correct
10 Correct 5 ms 5012 KB Output is correct
11 Correct 742 ms 78392 KB Output is correct
12 Correct 639 ms 93956 KB Output is correct
13 Correct 666 ms 78396 KB Output is correct
14 Correct 647 ms 79540 KB Output is correct
15 Correct 770 ms 81404 KB Output is correct
16 Correct 694 ms 84336 KB Output is correct
17 Correct 765 ms 88924 KB Output is correct
18 Correct 629 ms 84232 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 664 ms 78340 KB Output is correct
21 Correct 667 ms 94072 KB Output is correct
22 Correct 705 ms 78464 KB Output is correct
23 Correct 744 ms 78788 KB Output is correct
24 Execution timed out 2086 ms 77684 KB Time limit exceeded
25 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4940 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 5 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5068 KB Output is correct
6 Correct 5 ms 5068 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 3 ms 5068 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 791 ms 78352 KB Output is correct
14 Correct 734 ms 90896 KB Output is correct
15 Correct 696 ms 78352 KB Output is correct
16 Correct 743 ms 79620 KB Output is correct
17 Correct 782 ms 81104 KB Output is correct
18 Correct 613 ms 81016 KB Output is correct
19 Correct 668 ms 93736 KB Output is correct
20 Correct 715 ms 84304 KB Output is correct
21 Correct 5 ms 5012 KB Output is correct
22 Correct 742 ms 78392 KB Output is correct
23 Correct 639 ms 93956 KB Output is correct
24 Correct 666 ms 78396 KB Output is correct
25 Correct 647 ms 79540 KB Output is correct
26 Correct 770 ms 81404 KB Output is correct
27 Correct 694 ms 84336 KB Output is correct
28 Correct 765 ms 88924 KB Output is correct
29 Correct 629 ms 84232 KB Output is correct
30 Correct 5 ms 4940 KB Output is correct
31 Correct 11 ms 5880 KB Output is correct
32 Correct 9 ms 5964 KB Output is correct
33 Correct 10 ms 5836 KB Output is correct
34 Correct 10 ms 5836 KB Output is correct
35 Correct 11 ms 5836 KB Output is correct
36 Correct 11 ms 5836 KB Output is correct
37 Correct 12 ms 5836 KB Output is correct
38 Correct 10 ms 5880 KB Output is correct
39 Correct 10 ms 5892 KB Output is correct
40 Correct 10 ms 5836 KB Output is correct
41 Correct 11 ms 5892 KB Output is correct
42 Correct 10 ms 5836 KB Output is correct
43 Correct 10 ms 6048 KB Output is correct
44 Correct 10 ms 5796 KB Output is correct
45 Correct 3 ms 4940 KB Output is correct
46 Correct 664 ms 78340 KB Output is correct
47 Correct 667 ms 94072 KB Output is correct
48 Correct 705 ms 78464 KB Output is correct
49 Correct 744 ms 78788 KB Output is correct
50 Execution timed out 2086 ms 77684 KB Time limit exceeded
51 Halted 0 ms 0 KB -