Submission #82043

# Submission time Handle Problem Language Result Execution time Memory
82043 2018-10-28T15:21:20 Z duality Printed Circuit Board (CEOI12_circuit) C++11
65 / 100
100 ms 12544 KB
#define DEBUG 1

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------
#pragma GCC optimize("Ofast")
template<typename T1,typename T2>
ostream& operator<<(ostream& output,const pair<T1,T2> &p) {
	output << "(" << p.first << "," << p.second << ")";
	return output;
}

int x[100000],y[100000],small[100000];
vector<double> sorted;
pair<pii,pii> tree[1 << 18],lazy[1 << 18];
double value(pair<pii,pii> p,double a) {
    pair<double,double> v = mp(1,a);
    double m = sqrt(a*a+1);
    double d1 = (p.first.first*v.first+p.first.second*v.second)/m;
    double c1 = (p.first.second*v.first-p.first.first*v.second)/m;
    double d2 = (p.second.first*v.first+p.second.second*v.second)/m;
    double c2 = (p.second.second*v.first-p.second.first*v.second)/m;
    //printVar(d1),printVar(d2),printVar(c1),printVar(c2);
    return (-c2*d1+c1*d2)/(c1-c2);
}
int comp(pair<pii,pii> a,pair<pii,pii> b,int s,int e) {
    if (a.first.first == -1) return 0;
    else if (b.first.first == -1) return 1;
    double m = (sorted[s]+sorted[e+1])/2;
    return value(a,m) < value(b,m);
}
int prop(int s,int e,int i) {
    if (comp(lazy[i],tree[i],s,e)) tree[i] = lazy[i];
    if (s != e) {
        int mid = (s+e) / 2;
        if (comp(lazy[i],lazy[2*i+1],s,mid)) lazy[2*i+1] = lazy[i];
        if (comp(lazy[i],lazy[2*i+2],mid+1,e)) lazy[2*i+2] = lazy[i];
    }
    lazy[i].first.first = -1;
    return 0;
}
int update(int s,int e,int as,int ae,int i,pair<pii,pii> p) {
    //if(i==0){
    //    cout<<as<<","<<ae<<","<<p<<endl;
    //}
    prop(s,e,i);
    if ((s > ae) || (e < as)) return 0;
    else if ((s >= as) && (e <= ae)) {
        if (comp(p,lazy[i],s,e)) lazy[i] = p;
        return 0;
    }

    int mid = (s+e) / 2;
    update(s,mid,as,ae,2*i+1,p),update(mid+1,e,as,ae,2*i+2,p);
    return 0;
}
pair<pii,pii> ans[100000];
int query(int s,int e,int q,int i) {
    prop(s,e,i);
    if ((s > q) || (e < q)) return 0;
    else if (s == e) {
        ans[q] = tree[i];
        return 0;
    }

    int mid = (s+e) / 2;
    query(s,mid,q,2*i+1),query(mid+1,e,q,2*i+2);
    return 0;
}
vi sol;
int main() {
    int i;
    int N;
    scanf("%d",&N);
    for (i = 0; i < N; i++) {
        scanf("%d %d",&x[i],&y[i]);
        sorted.pb((double) y[i]/x[i]);
    }
    sort(sorted.begin(),sorted.end());
    sorted.resize(unique(sorted.begin(),sorted.end())-sorted.begin());

    fill(tree,tree+(1 << 18),mp(mp(-1,-1),mp(-1,-1)));
    fill(lazy,lazy+(1 << 18),mp(mp(-1,-1),mp(-1,-1)));
    fill(small,small+sorted.size(),-1);
    for (i = 0; i < N; i++) {
        int p = lower_bound(sorted.begin(),sorted.end(),(double) y[i]/x[i])-sorted.begin();
        int q = lower_bound(sorted.begin(),sorted.end(),(double) y[(i+1) % N]/x[(i+1) % N])-sorted.begin();
        update(0,sorted.size()-2,min(p,q),max(p,q)-1,0,mp(mp(x[i],y[i]),mp(x[(i+1) % N],y[(i+1) % N])));
        if ((small[p] == -1) || (mp(x[i],y[i]) < mp(x[small[p]],y[small[p]]))) small[p] = i;
    }
    //debug "here";
    for (i = 0; i < sorted.size()-1; i++) {
           /* ans[i] = mp(mp(-1,-1),mp(-1,-1));
    for (int j = 0; j < N; j++) {
        pair<pii,pii> pp = mp(mp(x[j],y[j]),mp(x[(j+1) % N],y[(j+1) % N]));
        int p = lower_bound(sorted.begin(),sorted.end(),(double) y[j]/x[j])-sorted.begin();
        int q = lower_bound(sorted.begin(),sorted.end(),(double) y[(j+1) % N]/x[(j+1) % N])-sorted.begin();
        if ((min(p,q) > i) || (max(p,q)-1 < i)) continue;
        if (comp(pp,ans[i],i,i)) ans[i] = pp;
    }*/
        query(0,sorted.size()-2,i,0);
        //cout << ans[i].first.first<<" "<<ans[i].first.second<<" "<<ans[i].second.first<<" "<<ans[i].second.second<<endl;
    }
    for (i = 0; i < N; i++) {
        int p = lower_bound(sorted.begin(),sorted.end(),(double) y[i]/x[i])-sorted.begin();
        int l = (p == 0) ? 1:((ans[p-1].first == mp(x[i],y[i])) || (ans[p-1].second == mp(x[i],y[i])));
        int r = (p == sorted.size()-1) ? 1:((ans[p].first == mp(x[i],y[i])) || (ans[p].second == mp(x[i],y[i])));
        if (l && r) sol.pb(i);
        else if ((l || r) && (small[p] == i)) sol.pb(i);
    }
    printf("%d\n",sol.size());
    for (i = 0; i < sol.size(); i++) printf("%d ",sol[i]+1);
    printf("\n");

    return 0;
}

Compilation message

circuit.cpp: In function 'int main()':
circuit.cpp:143:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < sorted.size()-1; i++) {
                 ~~^~~~~~~~~~~~~~~~~
circuit.cpp:158:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         int r = (p == sorted.size()-1) ? 1:((ans[p].first == mp(x[i],y[i])) || (ans[p].second == mp(x[i],y[i])));
                  ~~^~~~~~~~~~~~~~~~~~
circuit.cpp:162:29: warning: format '%d' expects argument of type 'int', but argument 2 has type 'std::vector<int>::size_type {aka long unsigned int}' [-Wformat=]
     printf("%d\n",sol.size());
                   ~~~~~~~~~~^
circuit.cpp:163:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < sol.size(); i++) printf("%d ",sol[i]+1);
                 ~~^~~~~~~~~~~~
circuit.cpp:125:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&N);
     ~~~~~^~~~~~~~~
circuit.cpp:127:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d",&x[i],&y[i]);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8568 KB Output is correct
2 Correct 10 ms 8700 KB Output is correct
3 Correct 12 ms 8904 KB Output is correct
4 Correct 13 ms 8908 KB Output is correct
5 Correct 70 ms 9228 KB Output is correct
6 Correct 72 ms 9284 KB Output is correct
7 Correct 83 ms 9536 KB Output is correct
8 Correct 36 ms 9536 KB Output is correct
9 Correct 35 ms 9536 KB Output is correct
10 Correct 49 ms 9536 KB Output is correct
11 Correct 50 ms 9536 KB Output is correct
12 Correct 55 ms 9552 KB Output is correct
13 Execution timed out 150 ms 9960 KB Time limit exceeded
14 Correct 95 ms 10260 KB Output is correct
15 Execution timed out 134 ms 10840 KB Time limit exceeded
16 Execution timed out 222 ms 12492 KB Time limit exceeded
17 Execution timed out 555 ms 12544 KB Time limit exceeded
18 Execution timed out 27 ms 12544 KB Time limit exceeded (wall clock)
19 Execution timed out 27 ms 12544 KB Time limit exceeded (wall clock)
20 Execution timed out 44 ms 12544 KB Time limit exceeded (wall clock)