Submission #289724

# Submission time Handle Problem Language Result Execution time Memory
289724 2020-09-02T23:47:04 Z b00n0rp Village (BOI20_village) C++17
100 / 100
245 ms 34676 KB
/*
Soln:
https://codeforces.com/blog/entry/80525
*/

// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/ 
// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#define TRACE
 
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 100005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO
    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES) \
    cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM) \
        printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n;
vi adj[MAXN];
int ans1[MAXN],res1[MAXN];
int gg = 0;

int par[MAXN][21];
int dep[MAXN];
int ans2[MAXN];
vi eul;

void dfs2(int u,int p,int d){
    eul.pb(u);
    par[u][0] = p;
    dep[u] = d;
    for(auto v:adj[u]){
        if(v != p){
            dfs2(v,u,d+1);
        }
    }
}

int lca(int u,int v){
    if(dep[u] < dep[v]) swap(u,v);
    FORD(j,20,0){
        if(dep[u]-(1<<j) >= dep[v]) u = par[u][j];
    }
    if(u == v) return u;
    FORD(j,20,0){
        if(par[u][j] != par[v][j]){
            u = par[u][j];
            v = par[v][j];
        }
    }
    return par[u][0];
}

void dfs1(int u,int p){
    for(auto v:adj[u]){
        if(v != p){
            dfs1(v,u);
        }
    }
    if(ans1[u] != u) return;
    if(u == p){
        swap(ans1[u],ans1[adj[u][0]]);
        gg += 2;
    } 
    else{
        swap(ans1[u],ans1[p]);
        gg += 2;
    }
}
 
void solvethetestcase(){
    cin >> n;
    REP(i,n-1){
        int u,v; cin >> u >> v;
        adj[u].pb(v);
        adj[v].pb(u);
    }
    FOR(i,1,n+1) ans1[i] = i;
    dfs1(1,1);
    FOR(i,1,n+1) res1[ans1[i]] = i;

    dfs2(1,1,0);
    REP(i,n){
        ans2[eul[i]] = eul[(i+n/2)%n];
    }
    FOR(j,1,21){
        FOR(i,1,n+1){
            par[i][j] = par[par[i][j-1]][j-1];
        }
    }
    int res2 = 0;
    FOR(i,1,n+1){
        int u = ans2[i],v = i;
        int l = lca(u,v);
        res2 += dep[u]+dep[v]-2*dep[l];
    }

    cout << gg << " " << res2 << endl;
    FOR(i,1,n+1){
        cout << res1[i] << " ";
    }
    FOR(i,1,n+1){
        cout << ans2[i] << " ";
    }
    cout << "\n";
}

Compilation message

Village.cpp:27:1: warning: multi-line comment [-Wcomment]
   27 | // typedef tree<int,null_type,less<int>,rb_tree_tag, \
      | ^
Village.cpp:184:5: warning: multi-line comment [-Wcomment]
  184 |     // (UNCOMMENT FOR MULTIPLE TEST CASES) \
      |     ^
Village.cpp:187:9: warning: multi-line comment [-Wcomment]
  187 |         // (UNCOMMENT FOR CODEJAM) \
      |         ^
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 3 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2752 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2816 KB Output is correct
2 Correct 2 ms 2816 KB Output is correct
3 Correct 3 ms 2816 KB Output is correct
4 Correct 3 ms 3072 KB Output is correct
5 Correct 3 ms 2944 KB Output is correct
6 Correct 3 ms 2944 KB Output is correct
7 Correct 3 ms 3072 KB Output is correct
8 Correct 3 ms 2944 KB Output is correct
9 Correct 3 ms 2944 KB Output is correct
10 Correct 3 ms 3072 KB Output is correct
11 Correct 3 ms 3072 KB Output is correct
12 Correct 3 ms 2944 KB Output is correct
13 Correct 3 ms 2944 KB Output is correct
14 Correct 3 ms 2944 KB Output is correct
15 Correct 3 ms 2944 KB Output is correct
16 Correct 3 ms 2944 KB Output is correct
17 Correct 3 ms 2944 KB Output is correct
18 Correct 3 ms 2944 KB Output is correct
19 Correct 3 ms 3008 KB Output is correct
20 Correct 3 ms 2944 KB Output is correct
21 Correct 3 ms 2944 KB Output is correct
22 Correct 3 ms 2944 KB Output is correct
23 Correct 3 ms 2944 KB Output is correct
24 Correct 3 ms 2944 KB Output is correct
25 Correct 2 ms 2816 KB Output is correct
26 Correct 3 ms 2944 KB Output is correct
27 Correct 3 ms 2816 KB Output is correct
28 Correct 3 ms 2944 KB Output is correct
29 Correct 3 ms 3072 KB Output is correct
30 Correct 3 ms 2944 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 3 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2752 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 3 ms 2816 KB Output is correct
19 Correct 2 ms 2816 KB Output is correct
20 Correct 3 ms 2816 KB Output is correct
21 Correct 3 ms 3072 KB Output is correct
22 Correct 3 ms 2944 KB Output is correct
23 Correct 3 ms 2944 KB Output is correct
24 Correct 3 ms 3072 KB Output is correct
25 Correct 3 ms 2944 KB Output is correct
26 Correct 3 ms 2944 KB Output is correct
27 Correct 3 ms 3072 KB Output is correct
28 Correct 3 ms 3072 KB Output is correct
29 Correct 3 ms 2944 KB Output is correct
30 Correct 3 ms 2944 KB Output is correct
31 Correct 3 ms 2944 KB Output is correct
32 Correct 3 ms 2944 KB Output is correct
33 Correct 3 ms 2944 KB Output is correct
34 Correct 3 ms 2944 KB Output is correct
35 Correct 3 ms 2944 KB Output is correct
36 Correct 3 ms 3008 KB Output is correct
37 Correct 3 ms 2944 KB Output is correct
38 Correct 3 ms 2944 KB Output is correct
39 Correct 3 ms 2944 KB Output is correct
40 Correct 3 ms 2944 KB Output is correct
41 Correct 3 ms 2944 KB Output is correct
42 Correct 2 ms 2816 KB Output is correct
43 Correct 3 ms 2944 KB Output is correct
44 Correct 3 ms 2816 KB Output is correct
45 Correct 3 ms 2944 KB Output is correct
46 Correct 3 ms 3072 KB Output is correct
47 Correct 3 ms 2944 KB Output is correct
48 Correct 150 ms 26860 KB Output is correct
49 Correct 178 ms 29292 KB Output is correct
50 Correct 164 ms 29264 KB Output is correct
51 Correct 126 ms 23460 KB Output is correct
52 Correct 160 ms 29032 KB Output is correct
53 Correct 149 ms 26392 KB Output is correct
54 Correct 91 ms 18572 KB Output is correct
55 Correct 227 ms 34676 KB Output is correct
56 Correct 245 ms 31956 KB Output is correct
57 Correct 225 ms 30828 KB Output is correct
58 Correct 221 ms 30220 KB Output is correct
59 Correct 192 ms 29424 KB Output is correct
60 Correct 126 ms 29392 KB Output is correct
61 Correct 128 ms 29408 KB Output is correct
62 Correct 138 ms 29608 KB Output is correct
63 Correct 131 ms 28012 KB Output is correct
64 Correct 147 ms 29676 KB Output is correct
65 Correct 132 ms 29872 KB Output is correct
66 Correct 123 ms 27968 KB Output is correct
67 Correct 94 ms 22612 KB Output is correct
68 Correct 122 ms 25704 KB Output is correct
69 Correct 140 ms 29800 KB Output is correct
70 Correct 138 ms 28136 KB Output is correct
71 Correct 100 ms 21616 KB Output is correct
72 Correct 105 ms 24168 KB Output is correct
73 Correct 133 ms 29840 KB Output is correct
74 Correct 121 ms 27500 KB Output is correct
75 Correct 183 ms 29840 KB Output is correct
76 Correct 162 ms 29232 KB Output is correct
77 Correct 152 ms 28524 KB Output is correct
78 Correct 92 ms 20692 KB Output is correct
79 Correct 109 ms 23532 KB Output is correct
80 Correct 176 ms 29764 KB Output is correct
81 Correct 136 ms 28652 KB Output is correct
82 Correct 135 ms 29308 KB Output is correct