QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#191609 | #5251. Constellations | timreizin | AC ✓ | 1197ms | 103388kb | C++20 | 2.7kb | 2023-09-30 02:41:11 | 2023-09-30 02:41:12 |
Judging History
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:
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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
result:
ok 1999 lines
Test #3:
score: 0
Accepted
time: 1025ms
memory: 103272kb
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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
result:
ok 1999 lines
Test #4:
score: 0
Accepted
time: 1010ms
memory: 102576kb
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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
result:
ok 1999 lines
Test #5:
score: 0
Accepted
time: 990ms
memory: 103296kb
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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
result:
ok 1999 lines
Test #6:
score: 0
Accepted
time: 1033ms
memory: 102628kb
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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 ...
result:
ok 1999 lines
Test #7:
score: 0
Accepted
time: 1014ms
memory: 101988kb
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 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 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 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 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 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 2 ...
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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 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 2 2 2 2 3 2 ...
result:
ok 1999 lines
Test #9:
score: 0
Accepted
time: 1135ms
memory: 103192kb
input:
2000 -946 966 -655 760 -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 -786 601 -527 758 -444 563 -994 840 -575 49...
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 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 2 2 2 2 2 3 2 2 2 2 2 2 3 2 2 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 2 3 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 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 2 2 3 3 2 2 2 ...
result:
ok 1999 lines
Test #10:
score: 0
Accepted
time: 1123ms
memory: 102056kb
input:
2000 -707 382 -500 486 -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 -758 423 -414 762 -443 674 -666 469 -814 6...
output:
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 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 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 2 3 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
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 2 2 2 2 2 2 2 2 2 2 2 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 2 2 2 2 7 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 3 2 2 2 2 2 2 3 3 3 6 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 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 -2 -4 4 4 -5 -3 -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 -4 -15 -2 -16 -13 11 -15 -9 8 16 -18 -6 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 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 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 3 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 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 2 3 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 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 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 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 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 2 2 3 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2 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