Submission #395654

# Submission time Handle Problem Language Result Execution time Memory
395654 2021-04-28T17:42:09 Z MarcoMeijer Islands (IOI08_islands) C++14
34 / 100
2000 ms 131076 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 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
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...); }
 
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
 
void program();
signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}
 
 
//===================//
//   begin program   //
//===================//
 
const int MX = 1e6+8;
const int N = (1<<20);

int n, edges;
int a[MX], b[MX], l[MX], adjCnt[MX];
int* adj[MX];

// finding cycles
bitset<MX> visited;
int cycleStart;
int skippedEdge = -1;
vii cycle;
bool dfsVisit(int u, int pe) {
    if(visited[u]) {
        cycleStart = u;
        skippedEdge = pe;
        return true;
    }
    bool res = false;
    visited[u] = 1;
    RE(i,adjCnt[u]) {
        int e = adj[u][i];
        if(e == pe || e == skippedEdge) continue;
        if(!dfsVisit((a[e] == u ? b[e] : a[e]), e)) continue;
        
        cycle.pb({(a[e] == u ? b[e] : a[e]), l[e]});
        res = u != cycleStart;
    }
    return res;
}

// finding depth
ll curBest = 0;
lll combine(lll x, ll y) {return {max(x.fi,y), max(min(x.fi,y),x.se)};}
int i1, i2;
ll dfsDepth(int u, int pe) {
    ll res = 0;
    lll p = {0,0};
    RE(i,adjCnt[u]) {
        int e = adj[u][i];
        if(e == pe) continue;
        if((a[e] == u ? b[e] : a[e]) == i1) continue;
        if((a[e] == u ? b[e] : a[e]) == i2) continue;
        ll d = l[e] + dfsDepth((a[e] == u ? b[e] : a[e]),e);
        res = max(res, d);
        p = combine(p,d);
    }
    curBest = max(curBest, p.fi + p.se);
    return res;
}

void program() {
    IN(n);
    RE1(i,n) {
        IN(a[edges],l[edges]); b[edges] = i;
        adjCnt[a[i]]++;
        adjCnt[b[i]]++;
        edges++;
    }
    RE1(i,n) adj[i] = new int[adjCnt[i]];
    RE1(i,n) adjCnt[i] = 0;
    RE(i,edges) {
        adj[a[i]][adjCnt[a[i]]++] = i;
        adj[b[i]][adjCnt[b[i]]++] = i;
    }

    ll ans = 0;
    RE1(i,n) {
        if(visited[i]) continue;

        // find the cycle
        curBest = 0;
        cycle.clear();
        dfsVisit(i,-1);

        // fill a, b and c
        ll m = cycle.size(), totB = 0;
        FOR(u,cycle) totB += u.se;

        ll curB = totB;
        ll bestSum1 = -INF, bestSum2 = -INF;
        REV(i,0,m) {
            curB -= cycle[i].se;
            i1 = cycle[(i+1)%m].fi;
            i2 = cycle[(i-1+m)%m].fi;
            ll C = dfsDepth(cycle[i].fi, -1);
            curBest  = max(curBest ,        bestSum1 - curB + C);
            curBest  = max(curBest , totB + bestSum2 + curB + C);
            bestSum1 = max(bestSum1,  curB + C);
            bestSum2 = max(bestSum2, -curB + C);
        }
        ans += curBest;
    }
    OUTL(ans);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Runtime error 144 ms 131076 KB Execution killed with signal 9
3 Correct 2 ms 384 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Runtime error 815 ms 131076 KB Execution killed with signal 9
11 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 195 ms 131076 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 20 ms 5580 KB Output is correct
2 Runtime error 317 ms 131076 KB Execution killed with signal 9
# Verdict Execution time Memory Grader output
1 Runtime error 312 ms 131076 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 751 ms 131076 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2071 ms 57296 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 337 ms 131076 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -