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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#74174#5251. Constellationsricky0129WA 9454ms159856kbC++174.7kb2023-01-30 23:36:212023-01-30 23:36:22

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-30 23:36:22]
  • 评测
  • 测评结果:WA
  • 用时:9454ms
  • 内存:159856kb
  • [2023-01-30 23:36:21]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define vi vector<int>
#define pii pair<int,int>
#define pll pair<ll,ll>
#define vll vector<ll>
#define FOR(i,n) for(int i=0;i<n;i++)
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define pb push_back
#define f first
#define s second

const int MOD = (int)1e9+7;

template <class T> int sgn(T x) { return (x > 0) - (x < 0); }
template<class T>
struct Point {
	typedef Point P;
	T x, y;
	explicit Point(T x=0, T y=0) : x(x), y(y) {}
	bool operator<(P p) const { return tie(x,y) < tie(p.x,p.y); }
	bool operator==(P p) const { return tie(x,y)==tie(p.x,p.y); }
	P operator+(P p) const { return P(x+p.x, y+p.y); }
	P operator-(P p) const { return P(x-p.x, y-p.y); }
	P operator*(T d) const { return P(x*d, y*d); }
	P operator/(T d) const { return P(x/d, y/d); }
	T dot(P p) const { return x*p.x + y*p.y; }
	T cross(P p) const { return x*p.y - y*p.x; }
	T cross(P a, P b) const { return (a-*this).cross(b-*this); }
	T dist2() const { return x*x + y*y; }
	double dist() const { return sqrt((double)dist2()); }
	// angle to x-axis in interval [-pi, pi]
	double angle() const { return atan2(y, x); }
	P unit() const { return *this/dist(); } // makes dist()=1
	P perp() const { return P(-y, x); } // rotates +90 degrees
	P normal() const { return perp().unit(); }
	// returns point rotated 'a' radians ccw around the origin
	P rotate(double a) const {
		return P(x*cos(a)-y*sin(a),x*sin(a)+y*cos(a)); }
	friend ostream& operator<<(ostream& os, P p) {
		return os << "(" << p.x << "," << p.y << ")"; }
};


typedef Point<ll> P;

struct star{ 
    ll cc=1; P center;
    ll ss1=0,ss2=0;
    ll s1 =0 ,s2=0;
    star(){};
    star(P c){
        center = c;
        ss1 = c.x*c.x;
        ss2 = c.y*c.y;
        s1 =  c.x;
        s2 = c.y;
        cc = 1;
    }
    pll dist(star& other){
        ll sum = ss1*other.cc+ss2*other.cc;
        sum+=other.ss1*cc+other.ss2*cc;
        sum-=2*(s1)*other.s1+2*s2*other.s2;
        assert(sum>=0);
        //assert(sum%(cc+other.cc)==0);
        return make_pair(sum,(cc+other.cc));
    }
    void merge(star& other){
        cc+=other.cc;
        ss1+=other.ss1;
        ss2+=other.ss2;
        s1+=other.s1;
        s2+=other.s2;
    }
};

struct el{
    int old,cur,i,j;
    pll dist;
    el(int old = 0, int cur = 0, int i =0, int j = 0, pll dist = {0,0}) : 
    old(old), cur(cur), i(i), j(j), dist(dist) {}
    bool operator< (const el& l) const {
        ll left = dist.f*l.dist.s;
        ll right = l.dist.f*dist.s;
        return tie(left,old,cur)<tie(right,l.old,l.cur);
    }
};
vector<star> V;
struct UF {
	vi e;
	UF(int n) : e(n, -1) {}
	bool sameSet(int a, int b) { return find(a) == find(b); }
	int size(int x) { return -e[find(x)]; }
	int find(int x) { return e[x] < 0 ? x : e[x] = find(e[x]); }
	bool join(int a, int b) {
		a = find(a), b = find(b);
		if (a == b) return false;
		if (e[a] > e[b]) swap(a, b);
		e[a] += e[b]; e[b] = a;
                V[a].merge(V[b]);
		return true;
	}
};
int main()
{
    int n;
    cin>>n;
    vi time(n,0);
    FOR(i,n){
        P p; cin>>p.x>>p.y;
        V.pb(star(p));
    }
    FOR(i,n) time[i] = i;
    set<el> pq;
    FOR(i,n){
        FOR(j,i){
            assert(V[j].dist(V[i])==V[i].dist(V[j]));
            pq.insert(el(j,i,j,i,V[j].dist(V[i])));
        }
    }
    UF dj(n);
    FOR(i,n-1){
        el ff = *pq.begin();  
        pq.erase(pq.begin());
        assert(dj.find(ff.i)!=dj.find(ff.j));

        set<int> unique;
        FOR(j,n){
            if(dj.find(j)==dj.find(ff.i) || dj.find(j)==dj.find(ff.j)) continue;
            unique.insert(dj.find(j));
            assert(time[j]<=time[dj.find(j)]);
        }
        for(int x: unique){
            int u = min(x,dj.find(ff.i));
            int v = max(x,dj.find(ff.i));
            int t1 = min(time[u],time[v]);
            int t2 = max(time[u],time[v]);
            pq.erase(pq.find(el(t1,t2,u,v,V[u].dist(V[v]))));

            u = min(x,dj.find(ff.j));
            v = max(x,dj.find(ff.j));
            t1 = min(time[u],time[v]);
            t2 = max(time[u],time[v]);
            pq.erase(pq.find(el(t1,t2,u,v,V[u].dist(V[v]))));
        }

        assert(dj.join(ff.i,ff.j));
        time[dj.find(ff.i)] = n+i;
        cout<<dj.size(ff.i)<<endl;
        for(int x: unique){
            int u = min(x,dj.find(ff.i));
            int v = max(x,dj.find(ff.i));
            int t1 = min(time[u],time[v]);
            int t2 = max(time[u],time[v]);
            pq.insert(el(t1,t2,u,v,V[u].dist(V[v])));
        }
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3340kb

input:

2
0 0
1 0

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 5538ms
memory: 159748kb

input:

2000
1000 -1000
1000 -999
1000 -998
1000 -997
1000 -996
1000 -995
1000 -994
1000 -993
1000 -992
1000 -991
1000 -990
1000 -989
1000 -988
1000 -987
1000 -986
1000 -985
1000 -984
1000 -983
1000 -982
1000 -981
1000 -980
1000 -979
1000 -978
1000 -977
1000 -976
1000 -975
1000 -974
1000 -973
1000 -972
1000...

output:

2
2
2
2
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2
2
2
...

result:

ok 1999 lines

Test #3:

score: 0
Accepted
time: 5419ms
memory: 159844kb

input:

2000
-1000 1000
-999 1000
-998 1000
-997 1000
-996 1000
-995 1000
-994 1000
-993 1000
-992 1000
-991 1000
-990 1000
-989 1000
-988 1000
-987 1000
-986 1000
-985 1000
-984 1000
-983 1000
-982 1000
-981 1000
-980 1000
-979 1000
-978 1000
-977 1000
-976 1000
-975 1000
-974 1000
-973 1000
-972 1000
-971...

output:

2
2
2
2
2
2
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2
2
2
2
2
...

result:

ok 1999 lines

Test #4:

score: 0
Accepted
time: 5749ms
memory: 159840kb

input:

2000
-1000 -1000
-999 -1000
-998 -1000
-997 -1000
-996 -1000
-995 -1000
-994 -1000
-993 -1000
-992 -1000
-991 -1000
-990 -1000
-989 -1000
-988 -1000
-987 -1000
-986 -1000
-985 -1000
-984 -1000
-983 -1000
-982 -1000
-981 -1000
-980 -1000
-979 -1000
-978 -1000
-977 -1000
-976 -1000
-975 -1000
-974 -10...

output:

2
2
2
2
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2
2
2
...

result:

ok 1999 lines

Test #5:

score: 0
Accepted
time: 5672ms
memory: 159744kb

input:

2000
-1000 -1000
-1000 -999
-1000 -998
-1000 -997
-1000 -996
-1000 -995
-1000 -994
-1000 -993
-1000 -992
-1000 -991
-1000 -990
-1000 -989
-1000 -988
-1000 -987
-1000 -986
-1000 -985
-1000 -984
-1000 -983
-1000 -982
-1000 -981
-1000 -980
-1000 -979
-1000 -978
-1000 -977
-1000 -976
-1000 -975
-1000 -9...

output:

2
2
2
2
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2
2
2
...

result:

ok 1999 lines

Test #6:

score: 0
Accepted
time: 5689ms
memory: 159856kb

input:

2000
1000 -250
1000 -249
1000 -248
1000 -247
1000 -246
1000 -245
1000 -244
1000 -243
1000 -242
1000 -241
1000 -240
1000 -239
1000 -238
1000 -237
1000 -236
1000 -235
1000 -234
1000 -233
1000 -232
1000 -231
1000 -230
1000 -229
1000 -228
1000 -227
1000 -226
1000 -225
1000 -224
1000 -223
1000 -222
1000 ...

output:

2
2
2
2
2
2
2
2
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2
2
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...

result:

ok 1999 lines

Test #7:

score: 0
Accepted
time: 5574ms
memory: 159788kb

input:

2000
0 -1000
0 -999
0 -998
0 -997
0 -996
0 -995
0 -994
0 -993
0 -992
0 -991
0 -990
0 -989
0 -988
0 -987
0 -986
0 -985
0 -984
0 -983
0 -982
0 -981
0 -980
0 -979
0 -978
0 -977
0 -976
0 -975
0 -974
0 -973
0 -972
0 -971
0 -970
0 -969
0 -968
0 -967
0 -966
0 -965
0 -964
0 -963
0 -962
0 -961
0 -960
0 -959
...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
...

result:

ok 1999 lines

Test #8:

score: -100
Wrong Answer
time: 9454ms
memory: 159788kb

input:

2000
-400 571
-725 636
-880 529
-657 372
-383 382
-746 888
-604 785
-497 557
-677 977
-562 917
-530 623
-636 535
-816 579
-633 428
-573 561
-496 479
-409 448
-570 379
-421 795
-827 865
-730 809
-423 984
-676 772
-398 816
-451 373
-756 777
-351 829
-954 345
-543 871
-595 521
-501 734
-378 769
-987 60...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
3
2
2
2
...

result:

wrong answer 43rd lines differ - expected: '3', found: '2'