Submission #576552

# Submission time Handle Problem Language Result Execution time Memory
576552 2022-06-13T07:39:54 Z radal Swapping Cities (APIO20_swap) C++17
13 / 100
646 ms 69860 KB
#include <bits/stdc++.h>
#include "swap.h"
#pragma GCC target("sse,sse2,sse4,avx2")
#pragma GCC optimize("unroll-loops,O2")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pll;
constexpr int N = 1e5+20,mod = 998244353,inf = 1e9+10;
inline int mkay(int a,int b){
    if (a+b >= mod) return a+b-mod;
//    if (a+b < 0) return a+b+mod;
    return a+b;
}
 
inline int poww(int a,int k){
    if (k < 0) return 0;
    int z = 1;
    while (k){
        if (k&1) z = 1ll*z*a%mod;
        a = 1ll*a*a%mod;
        k >>= 1;
    } 
    return z; 
}
vector<pll> adj[N];
vector<int> be[N],fr[N];
vector<pair<int,pll> > e;
int n,m,maxdeg;
int pr[N],par[N][20],h[N],mx[N][20],mi[N][20][2],bmi[N];
bool good[N];
multiset<int> st[N];
void dfs2(int v,int p){
    for (pll u : adj[v]){
        if (u.X == p) continue;
        dfs2(u.X,v);
        if(st[u.X].size() > st[v].size()) swap(st[v],st[u.X]);
        while (!st[u.X].empty()){
            int x = *(st[u.X].begin());
            st[v].insert(x);
            st[u.X].erase(st[u.X].begin());
        }
    }
    for (int x : be[v]) st[v].insert(x);
    for (int x : fr[v]) st[v].erase(st[v].find(x));
    if (st[v].empty()) return;
    int g = *(st[v].begin());
    bmi[v] = g;
    if (g < mi[v][0][0]){
        mi[v][0][1] = mi[v][0][0];
        mi[v][0][0] = g;
        return;
    }
    if (g < mi[v][0][1]) mi[v][0][1] = g;
}
void dfs(int v,int p){
    par[v][0] = p;
    int g[3];
    rep(i,0,3) g[i] = inf;
    for (auto u : adj[v]){
        int w = u.Y;
        if (u.X == p) continue;
        h[u.X] = h[v]+1;
        mx[u.X][0] = w;
        dfs(u.X,v);
        if (w < g[0]){
            g[2] = g[1];
            g[1] = g[0];
            g[0] = w;
            continue;
        }
        if (w < g[1]){
            g[2] = g[1];
            g[1] = w;
            continue;
        }
        if (w < g[2]) g[2] = w;
    }
    for (auto u : adj[v]){
        if (u.X == p) continue;
        int w = u.Y;
        if (g[0] < w){
            mi[u.X][0][0] = g[0];
            if (g[1] < w) mi[u.X][0][1] = g[1];
            else mi[u.X][0][1] = g[2];
        }
        else{
            mi[u.X][0][0] = g[1];
            mi[u.X][0][1] = g[2];
        }
    }
}

int getpar(int v,int k){
    rep(i,0,20)
        if (k&(1 << i))
             v = par[v][i];
    return v;
}

int lca(int u,int v){
    if (h[u] > h[v]) swap(u,v);
    if (h[v]-h[u]) v = getpar(v,h[v]-h[u]);
    if (u == v) return u;
    repr(i,19,0){
        if (par[v][i] != par[u][i]){
            v = par[v][i];
            u = par[u][i];
        }
    }
    return par[v][0];
}

int calc_mx(int v,int k){
    int ans = 0;
    repr(i,19,0){
        if (k >= (1 << i)){
            ans = max(ans,mx[v][i]);
            v = par[v][i];
            k -= (1 << i);
        }
    }
    return ans;
}
int calc_mi(int v,int k){
    int ans = inf;
    repr(i,19,0){
        if (k >= (1 << i)){
            ans = min(ans,mi[v][i][0]);
            v = par[v][i];
            k -= (1 << i);
        }
    }
    return ans;
}
int getpr(int v){
    if (pr[v] == v) return v;
    return pr[v] = getpr(pr[v]);
}

void init (int nn,int mm,vector<int> U,vector<int> V,vector<int> W){
    memset(mi,63,sizeof mi);
    memset(bmi,63,sizeof bmi);
    n = nn;
    m = mm;
    rep(i,0,n) pr[i] = i;
    rep(i,0,m){
        U[i]++;
        V[i]++;
        e.pb({W[i],{U[i],V[i]}});
    }
    sort(all(e));
    rep(i,0,m){
        int x = e[i].Y.X,y = e[i].Y.Y;
        if (getpr(x) != getpr(y)){
            good[i] = 1;
            pr[pr[x]] = pr[y];
            adj[x].pb({y,e[i].X});
            adj[y].pb({x,e[i].X});
        }
    }
    if (m == n-1){
        rep(i,1,n+1) maxdeg = max(maxdeg,(int)adj[i].size());
    }
    dfs(1,0);
    rep(j,1,20){
        rep(i,1,n+1){
            par[i][j] = par[par[i][j-1]][j-1];
            mx[i][j] = max(mx[i][j-1],mx[par[i][j-1]][j-1]);
        }
    }
    rep(i,0,m){
        if (good[i]) continue;
        int u = e[i].Y.X,v = e[i].Y.Y,w = e[i].X;
        if (h[u] > h[v]) swap(u,v);
        int g = lca(u,v);
        if (u == g){
            fr[u].pb(w);
            be[v].pb(w);
            continue;
        }
        be[v].pb(w);
        be[u].pb(w);
        fr[g].pb(w);
        fr[g].pb(w);
    }
    dfs2(1,0);
    rep(j,1,20){
        rep(i,1,n+1){
            int x0 = mi[par[i][j-1]][j-1][0],x1 = mi[par[i][j-1]][j-1][1];
            rep(k,0,2) mi[i][j][k] = mi[i][j-1][k];
            if (x0 < mi[i][j][0]){
                mi[i][j][1] = min(x1,mi[i][j][0]);
                mi[i][j][0] = x0;
                continue;
            }
            if (x0 < mi[i][j][1])
                mi[i][j][1] = x0;
        }
    }
    debug("end");
}
int getMinimumFuelCapacity(int u, int v){
    u++;
    v++;
    if (m == n-1 && maxdeg == 2) return -1;
    if (h[u] > h[v]) swap(u,v);
    int w = lca(u,v);
    if (u == w){
        int ans = calc_mi(v,h[v]-h[u]-1);
        int x = getpar(v,h[v]-h[u]-1);
        ans = min(ans,bmi[x]);
        if (ans >= inf && adj[u].size() <= 2) return -1;
        if (ans >= inf){
            if (u == 1 || mx[u][0] >= mi[x][0][1]) ans = max(mi[x][0][1],calc_mx(v,h[v]-h[u]));
            else ans = max({mx[u][0],mi[x][0][0],calc_mx(v,h[v]-h[u])});
            return ans;
        }
        int mas = calc_mx(v,h[v]-h[u]);
        if (adj[u].size() <= 2) return max(mas,ans);
        ans = min(ans,mi[x][0][1]);
        if (u != 1) ans = min(ans,max(mx[u][0],mi[x][0][0]));
        return max(ans,mas);
    }
    else{
        int x = getpar(v,h[v]-h[w]-1),y = getpar(u,h[u]-h[w]-1);
        int ans = min(calc_mi(v,h[v]-h[w]-1),calc_mi(u,h[u]-h[w]-1));
        ans = min({ans,bmi[x],bmi[y]});
        if (w != 1) ans = min(ans,mx[w][0]);
        if (mi[x][0][0] != mx[y][0]) ans = min(ans,mi[x][0][0]);
        else ans = min(ans,mi[x][0][1]);
        if (ans >= inf) return -1;
        int mas = max(calc_mx(v,h[v]-h[w]),calc_mx(u,h[u]-h[w]));
        return max(ans,mas);
    }
}
# Verdict Execution time Memory Grader output
1 Correct 13 ms 28116 KB Output is correct
2 Correct 16 ms 28140 KB Output is correct
3 Correct 12 ms 28116 KB Output is correct
4 Correct 13 ms 28240 KB Output is correct
5 Correct 13 ms 28372 KB Output is correct
6 Correct 15 ms 28420 KB Output is correct
7 Correct 14 ms 28336 KB Output is correct
8 Correct 16 ms 28500 KB Output is correct
9 Correct 139 ms 54592 KB Output is correct
10 Correct 219 ms 63424 KB Output is correct
11 Correct 184 ms 61656 KB Output is correct
12 Correct 192 ms 64284 KB Output is correct
13 Correct 171 ms 68332 KB Output is correct
14 Correct 163 ms 53312 KB Output is correct
15 Correct 264 ms 64804 KB Output is correct
16 Correct 230 ms 60292 KB Output is correct
17 Correct 271 ms 69860 KB Output is correct
18 Correct 277 ms 66908 KB Output is correct
19 Correct 132 ms 37900 KB Output is correct
20 Correct 571 ms 64456 KB Output is correct
21 Correct 579 ms 61572 KB Output is correct
22 Correct 646 ms 66264 KB Output is correct
23 Correct 490 ms 67332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 28116 KB Output is correct
2 Correct 16 ms 28140 KB Output is correct
3 Correct 251 ms 53772 KB Output is correct
4 Correct 248 ms 54812 KB Output is correct
5 Correct 240 ms 54308 KB Output is correct
6 Correct 241 ms 54752 KB Output is correct
7 Correct 252 ms 54616 KB Output is correct
8 Correct 229 ms 53616 KB Output is correct
9 Correct 277 ms 54408 KB Output is correct
10 Correct 222 ms 53384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 28116 KB Output is correct
2 Correct 16 ms 28140 KB Output is correct
3 Correct 12 ms 28116 KB Output is correct
4 Correct 13 ms 28240 KB Output is correct
5 Correct 13 ms 28372 KB Output is correct
6 Correct 15 ms 28420 KB Output is correct
7 Correct 14 ms 28336 KB Output is correct
8 Correct 16 ms 28500 KB Output is correct
9 Correct 12 ms 28116 KB Output is correct
10 Correct 14 ms 28264 KB Output is correct
11 Correct 13 ms 28324 KB Output is correct
12 Correct 15 ms 28384 KB Output is correct
13 Correct 16 ms 28284 KB Output is correct
14 Correct 17 ms 28356 KB Output is correct
15 Incorrect 14 ms 28372 KB Output isn't correct
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 12 ms 28116 KB Output is correct
2 Correct 13 ms 28116 KB Output is correct
3 Correct 16 ms 28140 KB Output is correct
4 Correct 12 ms 28116 KB Output is correct
5 Correct 13 ms 28240 KB Output is correct
6 Correct 13 ms 28372 KB Output is correct
7 Correct 15 ms 28420 KB Output is correct
8 Correct 14 ms 28336 KB Output is correct
9 Correct 16 ms 28500 KB Output is correct
10 Correct 139 ms 54592 KB Output is correct
11 Correct 219 ms 63424 KB Output is correct
12 Correct 184 ms 61656 KB Output is correct
13 Correct 192 ms 64284 KB Output is correct
14 Correct 171 ms 68332 KB Output is correct
15 Correct 14 ms 28264 KB Output is correct
16 Correct 13 ms 28324 KB Output is correct
17 Correct 15 ms 28384 KB Output is correct
18 Correct 16 ms 28284 KB Output is correct
19 Correct 17 ms 28356 KB Output is correct
20 Incorrect 14 ms 28372 KB Output isn't correct
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 28116 KB Output is correct
2 Correct 16 ms 28140 KB Output is correct
3 Correct 12 ms 28116 KB Output is correct
4 Correct 13 ms 28240 KB Output is correct
5 Correct 13 ms 28372 KB Output is correct
6 Correct 15 ms 28420 KB Output is correct
7 Correct 14 ms 28336 KB Output is correct
8 Correct 16 ms 28500 KB Output is correct
9 Correct 139 ms 54592 KB Output is correct
10 Correct 219 ms 63424 KB Output is correct
11 Correct 184 ms 61656 KB Output is correct
12 Correct 192 ms 64284 KB Output is correct
13 Correct 171 ms 68332 KB Output is correct
14 Correct 163 ms 53312 KB Output is correct
15 Correct 264 ms 64804 KB Output is correct
16 Correct 230 ms 60292 KB Output is correct
17 Correct 271 ms 69860 KB Output is correct
18 Correct 277 ms 66908 KB Output is correct
19 Correct 251 ms 53772 KB Output is correct
20 Correct 248 ms 54812 KB Output is correct
21 Correct 240 ms 54308 KB Output is correct
22 Correct 241 ms 54752 KB Output is correct
23 Correct 252 ms 54616 KB Output is correct
24 Correct 229 ms 53616 KB Output is correct
25 Correct 277 ms 54408 KB Output is correct
26 Correct 222 ms 53384 KB Output is correct
27 Correct 14 ms 28264 KB Output is correct
28 Correct 13 ms 28324 KB Output is correct
29 Correct 15 ms 28384 KB Output is correct
30 Correct 16 ms 28284 KB Output is correct
31 Correct 17 ms 28356 KB Output is correct
32 Incorrect 14 ms 28372 KB Output isn't correct
33 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 12 ms 28116 KB Output is correct
2 Correct 13 ms 28116 KB Output is correct
3 Correct 16 ms 28140 KB Output is correct
4 Correct 12 ms 28116 KB Output is correct
5 Correct 13 ms 28240 KB Output is correct
6 Correct 13 ms 28372 KB Output is correct
7 Correct 15 ms 28420 KB Output is correct
8 Correct 14 ms 28336 KB Output is correct
9 Correct 16 ms 28500 KB Output is correct
10 Correct 139 ms 54592 KB Output is correct
11 Correct 219 ms 63424 KB Output is correct
12 Correct 184 ms 61656 KB Output is correct
13 Correct 192 ms 64284 KB Output is correct
14 Correct 171 ms 68332 KB Output is correct
15 Correct 163 ms 53312 KB Output is correct
16 Correct 264 ms 64804 KB Output is correct
17 Correct 230 ms 60292 KB Output is correct
18 Correct 271 ms 69860 KB Output is correct
19 Correct 277 ms 66908 KB Output is correct
20 Correct 251 ms 53772 KB Output is correct
21 Correct 248 ms 54812 KB Output is correct
22 Correct 240 ms 54308 KB Output is correct
23 Correct 241 ms 54752 KB Output is correct
24 Correct 252 ms 54616 KB Output is correct
25 Correct 229 ms 53616 KB Output is correct
26 Correct 277 ms 54408 KB Output is correct
27 Correct 222 ms 53384 KB Output is correct
28 Correct 14 ms 28264 KB Output is correct
29 Correct 13 ms 28324 KB Output is correct
30 Correct 15 ms 28384 KB Output is correct
31 Correct 16 ms 28284 KB Output is correct
32 Correct 17 ms 28356 KB Output is correct
33 Incorrect 14 ms 28372 KB Output isn't correct
34 Halted 0 ms 0 KB -