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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#191609#5251. ConstellationstimreizinAC ✓1197ms103388kbC++202.7kb2023-09-30 02:41:112023-09-30 02:41:12

Judging History

你现在查看的是最新测评结果

  • [2023-09-30 02:41:12]
  • 评测
  • 测评结果:AC
  • 用时:1197ms
  • 内存:103388kb
  • [2023-09-30 02:41:11]
  • 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 = min(a.id, b.id);
        id2 = max(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: 3528kb

input:

2
0 0
1 0

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 996ms
memory: 102000kb

input:

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output:

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result:

ok 1999 lines

Test #3:

score: 0
Accepted
time: 1025ms
memory: 103272kb

input:

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output:

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result:

ok 1999 lines

Test #4:

score: 0
Accepted
time: 1010ms
memory: 102576kb

input:

2000
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-974 -10...

output:

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result:

ok 1999 lines

Test #5:

score: 0
Accepted
time: 990ms
memory: 103296kb

input:

2000
-1000 -1000
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-1000 -997
-1000 -996
-1000 -995
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-1000 -993
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-1000 -976
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-1000 -9...

output:

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...

result:

ok 1999 lines

Test #6:

score: 0
Accepted
time: 1033ms
memory: 102628kb

input:

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1000 -246
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1000 ...

output:

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result:

ok 1999 lines

Test #7:

score: 0
Accepted
time: 1014ms
memory: 101988kb

input:

2000
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...

output:

2
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...

result:

ok 1999 lines

Test #8:

score: 0
Accepted
time: 1135ms
memory: 102844kb

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
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result:

ok 1999 lines

Test #9:

score: 0
Accepted
time: 1135ms
memory: 103192kb

input:

2000
-946 966
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-539 413
-857 715
-668 993
-543 399
-724 415
-584 464
-364 541
-518 756
-966 790
-648 616
-654 419
-842 544
-714 482
-636 984
-904 343
-559 925
-440 494
-636 780
-695 494
-585 465
-487 396
-683 886
-949 959
-668 518
-780 583
-854 612
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-527 758
-444 563
-994 840
-575 49...

output:

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result:

ok 1999 lines

Test #10:

score: 0
Accepted
time: 1123ms
memory: 102056kb

input:

2000
-707 382
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-927 357
-972 984
-738 591
-535 766
-610 603
-582 908
-923 676
-689 828
-940 783
-502 728
-971 384
-873 909
-824 412
-532 805
-715 448
-972 748
-423 975
-355 915
-943 453
-740 998
-776 457
-395 764
-805 337
-650 520
-656 612
-1000 841
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-414 762
-443 674
-666 469
-814 6...

output:

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...

result:

ok 1999 lines

Test #11:

score: 0
Accepted
time: 1131ms
memory: 103388kb

input:

2000
0 0
0 -1
1 -1
-1 1
-1 2
1 -2
3 0
1 -4
3 -3
-2 -4
-1 5
5 3
3 -6
4 6
-6 -5
4 -7
-2 9
1 -9
7 7
4 10
7 9
5 10
6 11
-5 12
-13 4
-5 13
14 2
10 11
-6 14
16 -1
11 -12
-14 -9
-14 11
15 11
-16 9
6 18
0 20
13 -15
9 -19
-10 -19
-21 8
-4 -22
-23 0
16 17
12 -21
-22 12
4 25
-14 -21
-7 -25
-3 -27
-27 1
23 16
1...

output:

2
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2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
8
2
2
2
2
2
2
2
2
2
3
3
4
4
2
2
2
2
11
3
3
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2...

result:

ok 1999 lines

Test #12:

score: 0
Accepted
time: 1147ms
memory: 102620kb

input:

2000
0 0
-1 0
1 -1
0 -2
-1 -2
1 3
-3 1
3 2
-4 -1
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4 4
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-6 3
3 6
6 5
-7 4
-9 -2
8 5
3 -9
3 -10
11 0
8 -9
-6 -11
11 -7
6 12
-7 -12
0 -14
14 -5
-15 -1
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-2 -16
-13 11
-15 -9
8 16
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18 5
-16 12
-9 18
-1 -21
-15 -15
4 -22
-22 4
7 -22
19 -14
16 -18
15 19
-5 25
2 26
-1 26
-7 -26
23 -16
...

output:

2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
5
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
4
3
3
2
2
2
2
2
2
7
2
2
2
2
2
2
2
2
2
2
2
2
2
9
2
2
2
2
2
2
2
2
2
6
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
4
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
5
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
3
4
2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #13:

score: 0
Accepted
time: 1197ms
memory: 103252kb

input:

2000
44 -748
385 448
-556 196
-569 -152
25 178
-865 609
644 -339
780 -558
429 676
469 712
876 987
-21 705
-742 679
375 970
-884 186
158 -340
-665 -673
153 484
-662 155
879 -724
-490 -785
-273 641
318 557
377 -706
260 695
-657 -926
-561 -315
861 -328
836 253
432 -505
-229 832
-774 -194
866 -951
171 6...

output:

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

result:

ok 1999 lines

Test #14:

score: 0
Accepted
time: 1164ms
memory: 102592kb

input:

2000
594 213
978 59
312 909
-226 -78
361 -398
-349 80
-9 -489
862 -525
-104 442
817 901
-243 921
-398 -185
279 -86
29 971
161 187
103 920
-825 -631
997 -179
-883 -78
442 322
463 -867
174 836
-92 308
179 -281
-960 578
513 -27
-436 -585
435 -621
-630 898
816 -515
693 205
-855 -124
27 -819
5 325
-510 -...

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

result:

ok 1999 lines

Test #15:

score: 0
Accepted
time: 1159ms
memory: 102268kb

input:

2000
30 -912
687 32
-171 -142
320 -399
-304 640
-449 -761
-616 -493
-948 -63
-597 689
821 -935
-24 959
-568 78
-311 -446
929 733
-41 497
-345 909
131 -65
626 143
93 317
240 -796
165 193
-435 -211
-413 -830
845 -457
261 -508
-561 732
-194 934
-615 761
762 -370
614 -348
-663 720
-857 -457
695 -769
668...

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
3
2
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2
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2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #16:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

4
0 0
0 -1
0 1
0 2

output:

2
2
4

result:

ok 3 lines