oj.uz

Submission #426767

# Submission time Handle Problem Language Result Execution time Memory
426767 2021-06-14T09:43:01 Z Hideo Designated Cities (JOI19_designated_cities) C++17
39 / 100
 2000 ms 94224 KB 
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")

#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[4 * N];
int lz[4 * N];
int p[N][20], h[2][N], w[N];
int tin[N], tout[N], tim;
int ans[N];
int n, rt, s, s_up;

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

pi lr[N], lg[2][N];
int rv[N], del[N], cnt;
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, 0};
    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];
}

void build (int v, int l, int r){
    if (l == r){
        t[v] = {dis(lc, a[l]), l};
        return;
    }
    else {
        int mid = (l + r) >> 1ll;
        build(v + v, l, mid);
        build(v + v + 1, mid + 1, r);
        if (t[v + v].fr > t[v + v + 1].fr)
            t[v] = t[v + v];
        else
            t[v] = t[v + v + 1];
    }
}

inline void push (int vv, int ll, int rr){
    if (ll != rr){
        lz[vv + vv] += lz[vv];
        lz[vv + vv + 1] += lz[vv];
    }
    t[vv].fr += lz[vv];
    lz[vv] = 0;
}

void upd (int v, int l, int r, int ql, int qr, int val){
    push(v, l, r);
    if (ql <= l && r <= qr){
        lz[v] = val;
        push(v, l, r);
        return;
    }
    if (r < ql || qr < l)
        return;
    int mid = (l + r) >> 1ll;
    upd(v + v, l, mid, ql, qr, val);
    upd(v + v + 1, mid + 1, r, ql, qr, val);
    if (t[v + v].fr > t[v + v + 1].fr)
        t[v] = t[v + v];
    else
        t[v] = t[v + v + 1];
}

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 (){
    a.pb(0);
    scanf("%lld", &n);
    for (int i = 1; i < n; i++){
        int a, b, c, d;
        scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
        negr = c;
        negr2 = d;
        g[a].pb({b, {c, d}});
        g[b].pb({a, {d, c}});
        s += c + d;
    }
    if (n == 2){
        ans[1] = max(negr, negr2);
        ans[2] = s;
        int q;
        scanf("%lld", &q);
        for (int i = 1; i <= q; i++){
            int e;
            scanf("%lld", &e);
            printf("%lld\n", s - ans[e]);
        }
        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);
    prec(rt);
    build(1, 1, cnt);
    del[0] = 1;
    del[lc] = 1;
    while (x != lc){
        del[x] = 1;
        upd(1, 1, cnt, lr[x].fr, lr[x].sc, -w[x]);
        w[x] = 0;
        x = p[x][0];
    }
    while (y != lc){
        del[y] = 1;
        upd(1, 1, cnt, lr[y].fr, lr[y].sc, -w[y]);
        w[y] = 0;
        y = p[y][0];
    }
    for (int i = 3; i <= cnt; i++){
        int it = t[1].sc, val = t[1].fr;
        ans[i] = ans[i - 1] + val;
        if (lr[lc].fr <= it && it <= lr[lc].sc){
            int v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(1, 1, cnt, lr[v].fr, lr[v].sc, -w[v]);
                w[v] = 0;
                v = p[v][0];
            }
        }
        else {
            int nw = lca(lc, a[it]);
            int v = lc;
            while (v != nw){
                if (lr[v].fr > 1)
                    upd(1, 1, cnt, 1, lr[v].fr - 1, -w[v]);
                if (lr[v].sc < cnt)
                    upd(1, 1, cnt, lr[v].sc + 1, cnt, -w[v]);
                w[v] = 0;
                v = p[v][0];
                del[v] = 1;
            }
            v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(1, 1, cnt, lr[v].fr, lr[v].sc, -w[v]);
                w[v] = 0;
                v = p[v][0];
            }
        }
    }
    for (int i = cnt + 1; i <= n; i++)
        ans[i] = s;
    int q;
    scanf("%lld", &q);
    for (int i = 1; i <= q; i++){
        int e;
        scanf("%lld", &e);
        printf("%lld\n", s - ans[e]);
    }
}

Compilation message

designated_cities.cpp:2: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    2 | #pragma GCC optimization ("O3")
      | 
designated_cities.cpp:3: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    3 | #pragma GCC optimization ("unroll-loops")
      | 
designated_cities.cpp:163:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  163 | main (){
      | ^~~~
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:165:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  165 |     scanf("%lld", &n);
      |     ~~~~~^~~~~~~~~~~~
designated_cities.cpp:168:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  168 |         scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
designated_cities.cpp:179:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  179 |         scanf("%lld", &q);
      |         ~~~~~^~~~~~~~~~~~
designated_cities.cpp:182:18: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  182 |             scanf("%lld", &e);
      |             ~~~~~^~~~~~~~~~~~
designated_cities.cpp:261:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  261 |     scanf("%lld", &q);
      |     ~~~~~^~~~~~~~~~~~
designated_cities.cpp:264:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  264 |         scanf("%lld", &e);
      |         ~~~~~^~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 5120 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 4 ms 5068 KB Output is correct
10 Correct 5 ms 5068 KB Output is correct
11 Correct 5 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 726 ms 81376 KB Output is correct
3 Correct 671 ms 91016 KB Output is correct
4 Correct 659 ms 81328 KB Output is correct
5 Correct 685 ms 82100 KB Output is correct
6 Correct 757 ms 84020 KB Output is correct
7 Correct 637 ms 82408 KB Output is correct
8 Correct 760 ms 93900 KB Output is correct
9 Correct 627 ms 90304 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 882 ms 81372 KB Output is correct
3 Correct 812 ms 93828 KB Output is correct
4 Correct 702 ms 81264 KB Output is correct
5 Correct 663 ms 82156 KB Output is correct
6 Correct 798 ms 84448 KB Output is correct
7 Correct 623 ms 90304 KB Output is correct
8 Correct 858 ms 89964 KB Output is correct
9 Correct 653 ms 90204 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 5120 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 4 ms 5068 KB Output is correct
10 Correct 5 ms 5068 KB Output is correct
11 Correct 5 ms 5068 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 9 ms 5864 KB Output is correct
14 Correct 7 ms 5836 KB Output is correct
15 Correct 7 ms 5836 KB Output is correct
16 Correct 8 ms 5836 KB Output is correct
17 Correct 9 ms 5776 KB Output is correct
18 Correct 7 ms 5836 KB Output is correct
19 Correct 15 ms 5836 KB Output is correct
20 Correct 9 ms 5836 KB Output is correct
21 Correct 9 ms 5836 KB Output is correct
22 Correct 9 ms 5864 KB Output is correct
23 Correct 8 ms 5836 KB Output is correct
24 Correct 7 ms 5836 KB Output is correct
25 Correct 7 ms 5964 KB Output is correct
26 Correct 7 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 726 ms 81376 KB Output is correct
3 Correct 671 ms 91016 KB Output is correct
4 Correct 659 ms 81328 KB Output is correct
5 Correct 685 ms 82100 KB Output is correct
6 Correct 757 ms 84020 KB Output is correct
7 Correct 637 ms 82408 KB Output is correct
8 Correct 760 ms 93900 KB Output is correct
9 Correct 627 ms 90304 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 882 ms 81372 KB Output is correct
12 Correct 812 ms 93828 KB Output is correct
13 Correct 702 ms 81264 KB Output is correct
14 Correct 663 ms 82156 KB Output is correct
15 Correct 798 ms 84448 KB Output is correct
16 Correct 623 ms 90304 KB Output is correct
17 Correct 858 ms 89964 KB Output is correct
18 Correct 653 ms 90204 KB Output is correct
19 Correct 4 ms 4940 KB Output is correct
20 Correct 795 ms 81388 KB Output is correct
21 Correct 701 ms 94224 KB Output is correct
22 Correct 682 ms 81528 KB Output is correct
23 Correct 775 ms 81704 KB Output is correct
24 Execution timed out 2058 ms 80348 KB Time limit exceeded
25 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 5120 KB Output is correct
7 Correct 5 ms 5068 KB Output is correct
8 Correct 4 ms 5068 KB Output is correct
9 Correct 4 ms 5068 KB Output is correct
10 Correct 5 ms 5068 KB Output is correct
11 Correct 5 ms 5068 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 726 ms 81376 KB Output is correct
14 Correct 671 ms 91016 KB Output is correct
15 Correct 659 ms 81328 KB Output is correct
16 Correct 685 ms 82100 KB Output is correct
17 Correct 757 ms 84020 KB Output is correct
18 Correct 637 ms 82408 KB Output is correct
19 Correct 760 ms 93900 KB Output is correct
20 Correct 627 ms 90304 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct
22 Correct 882 ms 81372 KB Output is correct
23 Correct 812 ms 93828 KB Output is correct
24 Correct 702 ms 81264 KB Output is correct
25 Correct 663 ms 82156 KB Output is correct
26 Correct 798 ms 84448 KB Output is correct
27 Correct 623 ms 90304 KB Output is correct
28 Correct 858 ms 89964 KB Output is correct
29 Correct 653 ms 90204 KB Output is correct
30 Correct 4 ms 4940 KB Output is correct
31 Correct 9 ms 5864 KB Output is correct
32 Correct 7 ms 5836 KB Output is correct
33 Correct 7 ms 5836 KB Output is correct
34 Correct 8 ms 5836 KB Output is correct
35 Correct 9 ms 5776 KB Output is correct
36 Correct 7 ms 5836 KB Output is correct
37 Correct 15 ms 5836 KB Output is correct
38 Correct 9 ms 5836 KB Output is correct
39 Correct 9 ms 5836 KB Output is correct
40 Correct 9 ms 5864 KB Output is correct
41 Correct 8 ms 5836 KB Output is correct
42 Correct 7 ms 5836 KB Output is correct
43 Correct 7 ms 5964 KB Output is correct
44 Correct 7 ms 5836 KB Output is correct
45 Correct 4 ms 4940 KB Output is correct
46 Correct 795 ms 81388 KB Output is correct
47 Correct 701 ms 94224 KB Output is correct
48 Correct 682 ms 81528 KB Output is correct
49 Correct 775 ms 81704 KB Output is correct
50 Execution timed out 2058 ms 80348 KB Time limit exceeded
51 Halted 0 ms 0 KB -