답안 #927679

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
927679 2024-02-15T08:36:23 Z Whisper Pictionary (COCI18_pictionary) C++17
140 / 140
122 ms 55644 KB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using ld = long double;
using T = tuple<ll, ll, ll>;

#define int long long
#define Base 41
#define sz(a) (int)a.size()
#define FOR(i, a, b) for ( int i = a ; i <= b ; i++ )
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define all(x) x.begin() , x.end()
#define pii pair<int , int>
#define fi first
#define se second
#define Lg(x) 31 - __builtin_clz(x)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)

constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 2e5 + 5;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

void setupIO(){
    #define name "Whisper"
    //Phu Trong from Nguyen Tat Thanh High School for gifted student
    srand(time(NULL));
    cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    cout << fixed << setprecision(10);
}

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
int numNode, numQuery, nDay;
vector<pii> adj[MAX];
int par[MAX], sz[MAX];
int find(int u){
    return u == par[u] ? u : par[u] = find(par[u]);
}
bool unite(int u, int v){
    if ((u = find(u)) == (v = find(v))) return false;
    if (sz[u] < sz[v]) swap(u, v);
    sz[u] += sz[v];
    par[v] = u;
    return true;
}

void addEdge(int id){
    int g = nDay - id + 1;
    for (int i = 2 * g; i <= numNode; i += g){
        if (unite(i, g)){
            adj[i].push_back({g, id});
            adj[g].push_back({i, id});
        }
    }
}
int dep[MAX];
int up[MAX][22], mx[MAX][22];
void dfs(int u, int p){
    for (auto&[v, w] : adj[u]) if(v ^ p){
        dep[v] = dep[u] + 1;
        mx[v][0] = w; up[v][0] = u;
        for (int i = 1; i <= 21; ++i){
            up[v][i] = up[up[v][i - 1]][i - 1];
            mx[v][i] = max(mx[v][i - 1], mx[up[v][i - 1]][i - 1]);
        }
        dfs(v, u);
    }
}

int query(int u, int v){
    int ans = 0;
    if (dep[u] < dep[v]) swap(u, v);
    int dis = dep[u] - dep[v];
    for (int i = 0; MASK(i) <= dis; ++i){
        if (BIT(dis, i)) maximize(ans, mx[u][i]), u = up[u][i];
    }
    if (u == v) return ans;
    for (int i = 21; i >= 0; --i) if(up[u][i] != up[v][i]){
        maximize(ans, mx[v][i]);
        maximize(ans, mx[u][i]);
        u = up[u][i], v = up[v][i];
    }
    maximize(ans, mx[v][0]);
    maximize(ans, mx[u][0]);
    return ans;
}

void Whisper(){
    // for each query find  the minimum day that two citys u, v are in the same connected component
    cin >> numNode >> nDay >> numQuery;
    for (int i = 1; i <= numNode; ++i) par[i] = i, sz[i] = 1;
    for (int i = 1; i <= nDay; ++i) addEdge(i);
    dfs(1, 0);
    for (int i = 1; i <= numQuery; ++i){
        int u, v; cin >> u >> v;
        cout << query(u, v) << '\n';
    }
}


signed main(){
    setupIO();
    int Test = 1;
//    cin >> Test;
    for ( int i = 1 ; i <= Test ; i++ ){
        Whisper();
        if (i < Test) cout << '\n';
    }
}

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 10840 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 11100 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 11664 KB Output is correct
2 Correct 18 ms 11868 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 12116 KB Output is correct
2 Correct 31 ms 12176 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 21340 KB Output is correct
2 Correct 25 ms 21204 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 33 ms 25884 KB Output is correct
2 Correct 39 ms 26196 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 62 ms 31332 KB Output is correct
2 Correct 43 ms 33412 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 68 ms 38580 KB Output is correct
2 Correct 88 ms 41040 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 99 ms 45924 KB Output is correct
2 Correct 95 ms 50564 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 55644 KB Output is correct
2 Correct 109 ms 55556 KB Output is correct