oj.uz

Submission #917120

# Submission time Handle Problem Language Result Execution time Memory
917120 2024-01-27T08:48:04 Z GrindMachine Cats or Dogs (JOI18_catdog) C++17
38 / 100
 3000 ms 11848 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
edi
https://oj.uz/submission/374896

*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

template<typename T>
struct segtree {
    // https://codeforces.com/blog/entry/18051

    /*=======================================================*/

    struct data {
        array<array<int,2>,2> dp;
        bool active;

        data(){
            rep(i,2){
                rep(j,2){
                    dp[i][j] = inf1;
                }
            }
            active = false;
        }
    };

    data neutral = data();

    data merge(data &left, data &right) {
        if(!left.active and !right.active) return left;
        if(!right.active) return left;
        if(!left.active) return right;
        
        data curr;
        curr.active = true;

        rep(i,2){
            rep(j,2){
                rep(k,2){
                    rep(l,2){
                        amin(curr.dp[i][l],left.dp[i][j]+right.dp[k][l]+(j!=k));
                    }
                }
            }
        }

        return curr;
    }

    void create(int i, T v) {

    }

    void modify(int i, T v) {
        tr[i] = neutral;
        tr[i].dp[0][0] = v.ff;
        tr[i].dp[1][1] = v.ss;
        tr[i].active = true;
    }

    /*=======================================================*/

    int n;
    vector<data> tr;

    segtree() {

    }

    segtree(int siz) {
        init(siz);
    }

    void init(int siz) {
        n = siz;
        tr.assign(2 * n, neutral);
    }

    void build(vector<T> &a, int siz) {
        rep(i, siz) create(i + n, a[i]);
        rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    void pupd(int i, T v) {
        modify(i + n, v);
        for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    data query(int l, int r) {
        data resl = neutral, resr = neutral;

        for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
            if (l & 1) resl = merge(resl, tr[l++]);
            if (!(r & 1)) resr = merge(tr[r--], resr);
        }

        return merge(resl, resr);
    }
};

vector<int> adj[N];
vector<int> a(N); // 0 = none, 1 = cat, 2 = dog
vector<int> subsiz(N);
vector<int> depth(N), par(N);

void dfs1(int u, int p){
    subsiz[u] = 1;
    if(p != -1) par[u] = p;
    trav(v,adj[u]){
        if(v == p) conts;
        depth[v] = depth[u]+1;
        dfs1(v,u);
        subsiz[u] += subsiz[v];
    }
}

vector<int> pos(N), head(N), chain_siz(N);
int timer = 1;

void dfs2(int u, int p, int h){
    pos[u] = timer++;
    head[u] = h;
    chain_siz[h]++;

    pii mx = {-inf2,-1};
    trav(v,adj[u]){
        if(v == p) conts;
        pii px = {subsiz[v],v};
        amax(mx,px);
    }

    int heavy = mx.ss;

    if(heavy != -1){
        dfs2(heavy,u,h);
    }

    trav(v,adj[u]){
        if(v == p) conts;
        dfs2(v,u,v);
    }
}

segtree<pii> st;

void initialize(int n, std::vector<int> A, std::vector<int> B) {
    rep(i,n-1){
        ll u = A[i], v = B[i];
        adj[u].pb(v), adj[v].pb(u);
    }

    dfs1(1,-1);
    dfs2(1,-1,1);
    st = segtree<pii>(n+5);
    rep1(i,n) st.pupd(i,{0,0});
}

vector<int> sum1(N), sum2(N);

int get_ans(){
    auto dp = st.query(pos[1],pos[1]+chain_siz[1]-1).dp;

    int ans = inf1;

    rep(i,2){
        rep(j,2){
            amin(ans,dp[i][j]);
        }
    }

    return ans;
}

void rem(int u){
    while(u){
        if(u == head[u]){
            auto dp = st.query(pos[u],pos[u]+chain_siz[u]-1).dp;
            int cat = min(dp[0][0],dp[0][1]);
            int dog = min(dp[1][0],dp[1][1]);
            sum1[par[u]] -= min(cat,dog+1);
            sum2[par[u]] -= min(cat+1,dog);
            u = par[u];
        }
        else{
            u = head[u];
        }
    }
}

void add(int u){
    while(u){
        {
            pii px = {sum1[u],sum2[u]};

            if(a[u] == 1){
                px.ss = inf1;
            }
            else if(a[u] == 2){
                px.ff = inf1;
            }

            st.pupd(pos[u],px);
        }

        if(u == head[u]){
            auto dp = st.query(pos[u],pos[u]+chain_siz[u]-1).dp;
            int cat = min(dp[0][0],dp[0][1]);
            int dog = min(dp[1][0],dp[1][1]);
            sum1[par[u]] += min(cat,dog+1);
            sum2[par[u]] += min(cat+1,dog);
            u = par[u];
        }
        else{
            u = head[u];
        }
    }
}

void change_state(int u, int val){
    rem(u);
    a[u] = val;
    add(u);
}
 
int cat(int v) {
    change_state(v,1);
    return get_ans();
}
 
int dog(int v) {
    change_state(v,2);
    return get_ans();
}
 
int neighbor(int v) {
    change_state(v,0);
    return get_ans();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6236 KB Output is correct
2 Correct 2 ms 6232 KB Output is correct
3 Correct 2 ms 6236 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 2 ms 6236 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6232 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6236 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6236 KB Output is correct
13 Correct 2 ms 6236 KB Output is correct
14 Correct 2 ms 6236 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6236 KB Output is correct
2 Correct 2 ms 6232 KB Output is correct
3 Correct 2 ms 6236 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 2 ms 6236 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6232 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6236 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6236 KB Output is correct
13 Correct 2 ms 6236 KB Output is correct
14 Correct 2 ms 6236 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct
17 Correct 6 ms 6236 KB Output is correct
18 Correct 7 ms 6236 KB Output is correct
19 Correct 6 ms 6236 KB Output is correct
20 Correct 2 ms 6236 KB Output is correct
21 Correct 3 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 7 ms 6236 KB Output is correct
24 Correct 8 ms 6404 KB Output is correct
25 Correct 4 ms 6236 KB Output is correct
26 Correct 3 ms 6236 KB Output is correct
27 Correct 7 ms 6236 KB Output is correct
28 Correct 13 ms 6236 KB Output is correct
29 Correct 81 ms 6236 KB Output is correct
30 Correct 3 ms 6236 KB Output is correct
31 Correct 3 ms 6232 KB Output is correct
32 Correct 3 ms 6236 KB Output is correct

Subtask #3
0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6236 KB Output is correct
2 Correct 2 ms 6232 KB Output is correct
3 Correct 2 ms 6236 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 2 ms 6236 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6232 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6236 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6236 KB Output is correct
13 Correct 2 ms 6236 KB Output is correct
14 Correct 2 ms 6236 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct
17 Correct 6 ms 6236 KB Output is correct
18 Correct 7 ms 6236 KB Output is correct
19 Correct 6 ms 6236 KB Output is correct
20 Correct 2 ms 6236 KB Output is correct
21 Correct 3 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 7 ms 6236 KB Output is correct
24 Correct 8 ms 6404 KB Output is correct
25 Correct 4 ms 6236 KB Output is correct
26 Correct 3 ms 6236 KB Output is correct
27 Correct 7 ms 6236 KB Output is correct
28 Correct 13 ms 6236 KB Output is correct
29 Correct 81 ms 6236 KB Output is correct
30 Correct 3 ms 6236 KB Output is correct
31 Correct 3 ms 6232 KB Output is correct
32 Correct 3 ms 6236 KB Output is correct
33 Correct 2414 ms 11392 KB Output is correct
34 Correct 857 ms 11848 KB Output is correct
35 Execution timed out 3037 ms 9820 KB Time limit exceeded
36 Halted 0 ms 0 KB -