Submission #305563

# Submission time Handle Problem Language Result Execution time Memory
305563 2020-09-23T14:13:04 Z MarcoMeijer Beads and wires (APIO14_beads) C++14
100 / 100
363 ms 47600 KB
#include <bits/stdc++.h>
using namespace std;
 
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF (2e9+10)
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
 
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
 
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
 
//===================//
//  Added libraries  //
//===================//
 
//===================//
//end added libraries//
//===================//
 
void program();
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}
 
 
//===================//
//   begin program   //
//===================//
 
const int MX = 6e5+5;

int n, m=0;
int a[MX], b[MX], c[MX];
int rev[MX];
vi adj[MX];
int dp[MX][2];
int sm[MX], skip[MX];
pair<ii,ii> bst[MX];

pair<ii,ii> push(pair<ii,ii> a, ii b) {
    return {max(a.fi,b), max(min(a.fi,b),a.se)};
}

void fillDP(int e);
int getSum(int e) {
    int u = b[e], p = a[e];
    if(sm[u] == -1) {
        sm[u] = 0;
        bst[u] = {{-INF,-1}, {-INF,-1}};
        FOR(v,adj[u]) if(b[v]!=p) fillDP(v), sm[u] += max(dp[v][1]+c[v], dp[v][0]);
        FOR(v,adj[u]) if(b[v]!=p) bst[u] = push(bst[u], {-max(dp[v][1]+c[v], dp[v][0]) + dp[v][0] + c[v], b[v]});
        skip[u] = p;
        return sm[u];
    } else if(skip[u] != -1 && skip[u] != p) {
        FOR(v,adj[u]) if(b[v]==skip[u]) fillDP(v), sm[u] += max(dp[v][1]+c[v], dp[v][0]);
        FOR(v,adj[u]) if(b[v]==skip[u]) bst[u] = push(bst[u], {-max(dp[v][1]+c[v], dp[v][0]) + dp[v][0] + c[v], b[v]});
        skip[u] = -1;
    }
    int res = sm[u];
    if(p != -1 && skip[u] != p) fillDP(rev[e]), res -= max(dp[rev[e]][1]+c[rev[e]], dp[rev[e]][0]);
    return res;
}
void fillDP(int e) {
    if(dp[e][0] != -1) return;

    int u=b[e], p=a[e];
    int sm = getSum(e);
    dp[e][0] = sm;

    dp[e][1] = -2e9-10;
    if(bst[u].fi.se != p) dp[e][1] = max(dp[e][1], sm + bst[u].fi.fi);
    if(bst[u].se.se != p) dp[e][1] = max(dp[e][1], sm + bst[u].se.fi);
}

void program() {
    IN(n);
    RE1(i,n) {
        a[m]=-1;
        b[m]=i;
        c[m]=0;
        m++;
    }
    RE(i,n-1) {
        int u, v, w;
        IN(u,v,w);
        a[m]=u, b[m]=v, c[m]=w;
        rev[m] = m+1;
        adj[u].pb(m++);
        a[m]=v, b[m]=u, c[m]=w;
        rev[m] = m-1;
        adj[v].pb(m++);
    }

    int bst = 0;
    RE(i,m) dp[i][0] = -1;
    RE1(i,n) sm[i] = -1;
    RE(i,n) {
        fillDP(i);
        bst = max(bst, dp[i][0]);
    }
    OUTL(bst);
}
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14464 KB Output is correct
2 Correct 10 ms 14464 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 9 ms 14464 KB Output is correct
5 Correct 10 ms 14464 KB Output is correct
6 Correct 9 ms 14464 KB Output is correct
7 Correct 10 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 11 ms 14464 KB Output is correct
10 Correct 11 ms 14464 KB Output is correct
11 Correct 11 ms 14464 KB Output is correct
12 Correct 10 ms 14464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14464 KB Output is correct
2 Correct 10 ms 14464 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 9 ms 14464 KB Output is correct
5 Correct 10 ms 14464 KB Output is correct
6 Correct 9 ms 14464 KB Output is correct
7 Correct 10 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 11 ms 14464 KB Output is correct
10 Correct 11 ms 14464 KB Output is correct
11 Correct 11 ms 14464 KB Output is correct
12 Correct 10 ms 14464 KB Output is correct
13 Correct 11 ms 14464 KB Output is correct
14 Correct 10 ms 14464 KB Output is correct
15 Correct 10 ms 14464 KB Output is correct
16 Correct 10 ms 14464 KB Output is correct
17 Correct 10 ms 14464 KB Output is correct
18 Correct 10 ms 14464 KB Output is correct
19 Correct 10 ms 14464 KB Output is correct
20 Correct 11 ms 14464 KB Output is correct
21 Correct 10 ms 14464 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14464 KB Output is correct
2 Correct 10 ms 14464 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 9 ms 14464 KB Output is correct
5 Correct 10 ms 14464 KB Output is correct
6 Correct 9 ms 14464 KB Output is correct
7 Correct 10 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 11 ms 14464 KB Output is correct
10 Correct 11 ms 14464 KB Output is correct
11 Correct 11 ms 14464 KB Output is correct
12 Correct 10 ms 14464 KB Output is correct
13 Correct 11 ms 14464 KB Output is correct
14 Correct 10 ms 14464 KB Output is correct
15 Correct 10 ms 14464 KB Output is correct
16 Correct 10 ms 14464 KB Output is correct
17 Correct 10 ms 14464 KB Output is correct
18 Correct 10 ms 14464 KB Output is correct
19 Correct 10 ms 14464 KB Output is correct
20 Correct 11 ms 14464 KB Output is correct
21 Correct 10 ms 14464 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
23 Correct 16 ms 15104 KB Output is correct
24 Correct 14 ms 15104 KB Output is correct
25 Correct 14 ms 15104 KB Output is correct
26 Correct 19 ms 15872 KB Output is correct
27 Correct 17 ms 15744 KB Output is correct
28 Correct 17 ms 15744 KB Output is correct
29 Correct 18 ms 15744 KB Output is correct
30 Correct 18 ms 15744 KB Output is correct
31 Correct 19 ms 16128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14464 KB Output is correct
2 Correct 10 ms 14464 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 9 ms 14464 KB Output is correct
5 Correct 10 ms 14464 KB Output is correct
6 Correct 9 ms 14464 KB Output is correct
7 Correct 10 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 11 ms 14464 KB Output is correct
10 Correct 11 ms 14464 KB Output is correct
11 Correct 11 ms 14464 KB Output is correct
12 Correct 10 ms 14464 KB Output is correct
13 Correct 11 ms 14464 KB Output is correct
14 Correct 10 ms 14464 KB Output is correct
15 Correct 10 ms 14464 KB Output is correct
16 Correct 10 ms 14464 KB Output is correct
17 Correct 10 ms 14464 KB Output is correct
18 Correct 10 ms 14464 KB Output is correct
19 Correct 10 ms 14464 KB Output is correct
20 Correct 11 ms 14464 KB Output is correct
21 Correct 10 ms 14464 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
23 Correct 16 ms 15104 KB Output is correct
24 Correct 14 ms 15104 KB Output is correct
25 Correct 14 ms 15104 KB Output is correct
26 Correct 19 ms 15872 KB Output is correct
27 Correct 17 ms 15744 KB Output is correct
28 Correct 17 ms 15744 KB Output is correct
29 Correct 18 ms 15744 KB Output is correct
30 Correct 18 ms 15744 KB Output is correct
31 Correct 19 ms 16128 KB Output is correct
32 Correct 63 ms 20600 KB Output is correct
33 Correct 63 ms 20600 KB Output is correct
34 Correct 63 ms 20600 KB Output is correct
35 Correct 348 ms 38904 KB Output is correct
36 Correct 344 ms 38956 KB Output is correct
37 Correct 341 ms 39032 KB Output is correct
38 Correct 238 ms 39404 KB Output is correct
39 Correct 229 ms 43112 KB Output is correct
40 Correct 247 ms 42988 KB Output is correct
41 Correct 363 ms 47600 KB Output is correct