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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#191607#5251. ConstellationstimreizinWA 1134ms103680kbC++202.7kb2023-09-30 02:39:552023-09-30 02:39:56

Judging History

你现在查看的是最新测评结果

  • [2023-09-30 02:39:56]
  • 评测
  • 测评结果:WA
  • 用时:1134ms
  • 内存:103680kb
  • [2023-09-30 02:39:55]
  • 提交

answer

#include <vector>
#include <queue>
#include <list>
#include <iostream>
#include <array>
#include <string>
#include <numeric>
#include <algorithm>
#include <cmath>

using namespace std;

using ll = long long;

struct Constell
{
    int id;
    ll size;
    ll sumx, sumy, sumx2, sumy2;
    
    Constell(pair<ll, ll> xy, int id) : id(id)
    {
        size = 1;
        sumx = xy.first;
        sumy = xy.second;
        sumx2 = sumx * sumx;
        sumy2 = sumy * sumy;
    }
    
    Constell()
    {}
};

struct ConstP
{
    int id1, id2;
    ll dist, prod;
    
    ConstP(Constell a, Constell b)
    {
        id1 = max(a.id, b.id);
        id2 = min(a.id, b.id);
        //d(A, B) = sum (a1-b1)^2 + (a2-b2)^2 over all a in A, b in B
        //|B|ai^2 - 2(sumA * sumB) + |A|bj^2
        dist = b.size * (a.sumx2 + a.sumy2) + a.size * (b.sumx2 + b.sumy2) - 2 * (a.sumx * b.sumx + a.sumy * b.sumy);
        prod = a.size * b.size;
    }
};

int cmp(ll n1, ll d1, ll n2, ll d2)
{
    //n1/d1 < n2/d2
    if ((__int128)n1 * d2 < (__int128)d1 * n2)
        return -1;
    if ((__int128)n1 * d2 > (__int128)d1 * n2)
        return 1;
    return 0;
}

bool operator<(ConstP b, ConstP a)
{
    int res = cmp(b.dist, b.prod, a.dist, a.prod);
    if (res == -1)
        return false;
    if (res == 1)
        return true;
    if (b.id1 < a.id1)
        return false;
    if (b.id1 > a.id1)
        return true;
    return b.id2 > a.id2;
}

Constell merge(Constell a, Constell b, int id)
{
    cout << a.size + b.size << '\n';
    Constell c;
    c.id = id;
    c.size = a.size + b.size;
    c.sumx = a.sumx + b.sumx;
    c.sumx2 = a.sumx2 + b.sumx2;
    c.sumy = a.sumy + b.sumy;
    c.sumy2 = a.sumy2 + b.sumy2;
    return c;
}

int main()
{
    int n;
    cin >> n;
    vector<Constell> constell(n);
    for (int i = 0; i < n; ++i)
    {
        ll x, y;
        cin >> x >> y;
        constell[i] = Constell({x, y}, i);
    }
    priority_queue<ConstP> pq;
    for (int i = 0; i < n; ++i)
        for (int j = i + 1; j < n; ++j)
            pq.push(ConstP(constell[i], constell[j]));
    while (!pq.empty())
    {
        ConstP p = pq.top();
        pq.pop();
        if (constell[p.id1].size == 0 || constell[p.id2].size == 0)
            continue;
        constell.push_back(merge(constell[p.id1], constell[p.id2], constell.size()));
        constell[p.id1].size = 0;
        constell[p.id2].size = 0;
        for (int i = 0; i + 1 < constell.size(); ++i)
        {
            if (constell[i].size == 0)
                continue;
            pq.push(ConstP(constell[i], constell.back()));
        }
    }
    return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3532kb

input:

2
0 0
1 0

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 1014ms
memory: 103680kb

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
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...

result:

ok 1999 lines

Test #3:

score: 0
Accepted
time: 1009ms
memory: 102092kb

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
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...

result:

ok 1999 lines

Test #4:

score: 0
Accepted
time: 1047ms
memory: 102756kb

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
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...

result:

ok 1999 lines

Test #5:

score: 0
Accepted
time: 1046ms
memory: 101912kb

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
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...

result:

ok 1999 lines

Test #6:

score: 0
Accepted
time: 1041ms
memory: 102680kb

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
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...

result:

ok 1999 lines

Test #7:

score: 0
Accepted
time: 1053ms
memory: 102792kb

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
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...

result:

ok 1999 lines

Test #8:

score: -100
Wrong Answer
time: 1134ms
memory: 101904kb

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
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...

result:

wrong answer 227th lines differ - expected: '3', found: '2'