oj.uz

Submission #238936

# Submission time Handle Problem Language Result Execution time Memory
238936 2020-06-13T15:05:33 Z jh05013 timeismoney (balkan11_timeismoney) C++17
100 / 100
 500 ms 832 KB 
#include <bits/stdc++.h>
#define sz(X) (int)((X).size())
#define entire(X) X.begin(),X.end()
using namespace std; typedef long long ll;
void OJize(){cin.tie(NULL);ios_base::sync_with_stdio(false);}
template <class T1, class T2>ostream&operator<<(ostream &os,pair<T1,T2>const&x){os<<'('<<x.first<<", "<<x.second<<')';return os;}
template <class Ch, class Tr, class Container>basic_ostream<Ch,Tr>&operator<<(basic_ostream<Ch,Tr>&os,Container const&x){for(auto&y:x)os<<y<<" ";return os;}

typedef pair<ll,ll> pll;
// positive -> ccw; negative -> cw; 0 -> collinear
ll ccw(pll a, pll b, pll c){
    auto [ax,ay] = a; auto [bx,by] = b; auto [cx,cy] = c;
    return (bx-ax)*(cy-ay) - (by-ay)*(cx-ax);
}

struct disjointSet{
    vector<int> par;
    disjointSet(int n): par(n) {iota(entire(par), 0);}
    void un(int x, int y){par[fd(x)] = fd(y);} // yr becomes parent
    int fd(int x){return par[x]!=x? (par[x]=fd(par[x])) : x;}
};

typedef tuple<int,int,ll,ll> EDGE;
int n;
vector<EDGE> edges;

tuple<ll, ll, vector<pair<int,int>>>
mst(ll T, ll C){
    sort(entire(edges), [&](const EDGE &e1, const EDGE &e2){
        auto [a1,b1,t1,c1] = e1;
        auto [a2,b2,t2,c2] = e2;
        return T*t1 + C*c1 < T*t2 + C*c2;
    });
    ll ts = 0, cs = 0;
    disjointSet DS(n+1);
    vector<pair<int,int>> ans;
    for(auto [a,b,t,c]: edges){
        if(DS.fd(a) == DS.fd(b)) continue;
        DS.un(a, b), ts+= t, cs+= c;
        ans.push_back({a,b});
    }
    return {ts, cs, ans};
}

tuple<ll,ll,ll> hullsearch(pll l, pll r){
    auto [lt,lc] = l; auto [rt,rc] = r;
    tuple<ll,ll,ll> ltup = {lt*lc,lt,lc}, rtup = {rt*rc,rt,rc};
    auto ans = min(ltup, rtup);
    auto [mt,mc,_] = mst(lc-rc, rt-lt);
    pll m = {mt,mc};
    if(ccw(r, m, l) < 0){
        ans = min(ans, hullsearch(l, m));
        ans = min(ans, hullsearch(m, r));
    }
    return ans;
}

int main(){OJize();
    int m; cin>>n>>m;
    for(int i=0; i<m; i++){
        int a,b,t,c; cin>>a>>b>>t>>c;
        edges.push_back({a,b,t,c});
    }
    auto [x0,y0,__1] = mst(1, 0);
    auto [x1,y1,__2] = mst(0, 1);
    auto [tc,t,c] = hullsearch({x0,y0}, {x1,y1});
    cout<<t<<' '<<c<<"\n";
    auto [__3,__4,TREE] = mst(c, t);
    for(auto [a,b]: TREE) cout<<a<<' '<<b<<'\n';
}

Compilation message

timeismoney.cpp: In lambda function:
timeismoney.cpp:30:26: warning: unused variable 'a1' [-Wunused-variable]
         auto [a1,b1,t1,c1] = e1;
                          ^
timeismoney.cpp:30:26: warning: unused variable 'b1' [-Wunused-variable]
timeismoney.cpp:31:26: warning: unused variable 'a2' [-Wunused-variable]
         auto [a2,b2,t2,c2] = e2;
                          ^
timeismoney.cpp:31:26: warning: unused variable 'b2' [-Wunused-variable]
timeismoney.cpp: In function 'std::tuple<long long int, long long int, long long int> hullsearch(pll, pll)':
timeismoney.cpp:49:18: warning: unused variable '_' [-Wunused-variable]
     auto [mt,mc,_] = mst(lc-rc, rt-lt);
                  ^
timeismoney.cpp: In function 'int main()':
timeismoney.cpp:64:20: warning: unused variable '__1' [-Wunused-variable]
     auto [x0,y0,__1] = mst(1, 0);
                    ^
timeismoney.cpp:65:20: warning: unused variable '__2' [-Wunused-variable]
     auto [x1,y1,__2] = mst(0, 1);
                    ^
timeismoney.cpp:66:17: warning: unused variable 'tc' [-Wunused-variable]
     auto [tc,t,c] = hullsearch({x0,y0}, {x1,y1});
                 ^
timeismoney.cpp:68:23: warning: unused variable '__3' [-Wunused-variable]
     auto [__3,__4,TREE] = mst(c, t);
                       ^
timeismoney.cpp:68:23: warning: unused variable '__4' [-Wunused-variable]

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 6 ms 384 KB Output is correct
8 Correct 10 ms 832 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 9 ms 384 KB Output is correct
15 Correct 8 ms 384 KB Output is correct
16 Correct 65 ms 512 KB Output is correct
17 Correct 67 ms 512 KB Output is correct
18 Correct 65 ms 384 KB Output is correct
19 Correct 490 ms 832 KB Output is correct
20 Correct 500 ms 832 KB Output is correct