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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#871507 | #8614. 3D | ucup-team6275# | TL | 12ms | 4096kb | C++23 | 4.2kb | 2025-01-25 20:55:42 | 2025-01-25 20:55:50 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define rep(i, n) for (int i = 0; i < (n); i += 1)
#define len(a) ((int)(a).size())
mt19937_64 rnd(time(0));
mt19937 rndint(time(0) + 10);
const ll inf = 1e18;
const int SZ = 11;
const ld eps = 1e-9;
ld d[SZ][SZ];
int n;
struct pt {
ld x, y, z;
ld ln() {
return sqrtl(x * x + y * y + z * z);
}
pt operator+(const pt &rht) {
return {x + rht.x, y + rht.y, z + rht.z};
}
pt operator-(const pt &rht) {
return {x - rht.x, y - rht.y, z - rht.z};
}
pt operator*(ld fuck) {
return {x * fuck, y * fuck, z * fuck};
}
pt norm(ld a = 1) {
ld nrm = a / ln();
return {x * nrm, y * nrm, z * nrm};
}
};
vector<pt> pts;
ld distsq(const pt &a, const pt &b) {
return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y) + (a.z - b.z) * (a.z - b.z);
}
ld dist(const pt &a, const pt &b) {
return sqrtl(distsq(a, b));
}
ld get_random_ld() {
const ll mod = 1e15;
return rnd() % mod / (ld)(mod - 1);
}
int check(int v) {
int res = 0;
for (int i = 0; i < n; ++i) {
if (i != v && abs(dist(pts[i], pts[v]) - d[i][v]) > 0.1 - eps)
++res;
}
return res;
}
int32_t main() {
if (1) {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
cin >> n;
#ifdef LOCAL
vector<pt> genpts(n);
for (int i = 0; i < n; ++i) {
genpts[i].x = get_random_ld();
genpts[i].y = get_random_ld();
genpts[i].z = get_random_ld();
}
for (int i = 0; i < n; ++i) {
d[i][i] = 0;
for (int j = i + 1; j < n; ++j) {
d[i][j] = dist(genpts[i], genpts[j]) - (get_random_ld() - 0.5) / 5;
d[j][i] = d[i][j];
}
}
#else
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j)
cin >> d[i][j];
}
#endif
while (true) {
pts.resize(n);
vector<vector<ld>> ws(n, vector<ld>(n));
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
ws[i][j] = get_random_ld() + 0.5;
}
}
for (int i = 0; i < n; ++i) {
pts[i].x = get_random_ld();
pts[i].y = get_random_ld();
pts[i].z = get_random_ld();
}
int cnt_bad = 0;
for (int i = 0; i < n; ++i)
cnt_bad += check(i);
cnt_bad /= 2;
int iters = 0;
bool fail = false;
while (cnt_bad) {
int v = rndint() % n;
cnt_bad -= check(v);
pt cur = {0, 0, 0};
ld normed = 0;
for (int i = 0; i < n; ++i) {
if (i == v)
continue;
pt yp = pts[i] + (pts[v] - pts[i]).norm(d[v][i]);
cur = cur + yp * ws[i][v];
normed += ws[i][v];
}
cur = cur * (1 / normed);
pts[v] = cur;
cnt_bad += check(v);
if (iters % 100 == 0) {
cnt_bad = 0;
for (int i = 0; i < n; ++i) {
cnt_bad += check(i);
}
cnt_bad /= 2;
}
++iters;
if (iters >= 50000) {
fail = true;
break;
}
}
if (fail)
continue;
#ifdef LOCAL
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
cout << setprecision(10) << fixed << dist(pts[i], pts[j]) << " ";
}
cout << "\n";
}
#endif
pt avg = {0, 0, 0};
for (auto c : pts) {
avg = avg + c;
}
avg.x /= n;
avg.y /= n;
avg.z /= n;
for (auto c : pts) {
c = c - avg;
cout << setprecision(20) << fixed << c.x << " " << c.y << " " << c.z << "\n";
}
break;
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3968kb
input:
4 0.000000 0.758400 0.557479 0.379026 0.758400 0.000000 0.516608 0.446312 0.557479 0.516608 0.000000 0.554364 0.379026 0.446312 0.554364 0.000000
output:
-0.21495354071762213665 -0.27388556519505850769 0.11361239513968890549 0.14227379735534866439 0.28100494163696816579 0.18379627153209409008 0.23412821951605886455 -0.12064534102649478674 -0.24250288876937941933 -0.16144847615378539230 0.11352596458458512867 -0.05490577790240357619
result:
ok OK. Max delta: 0.094743
Test #2:
score: 0
Accepted
time: 1ms
memory: 3968kb
input:
1 0.000000
output:
0.00000000000000000000 0.00000000000000000000 0.00000000000000000000
result:
ok OK. Max delta: 0.000000
Test #3:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
2 0.000000 0.938096 0.938096 0.000000
output:
0.44661565358689403189 -0.11338237997022762972 -0.08766367655670387479 -0.44661565358689403195 0.11338237997022762967 0.08766367655670387473
result:
ok OK. Max delta: 0.000000
Test #4:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
3 0.000000 0.769195 0.308169 0.769195 0.000000 0.686850 0.308169 0.686850 0.000000
output:
0.26135903904364807292 0.01422692792336293334 -0.23896306293495933682 -0.21880426869685143236 0.17593970593134158995 0.39353666377241308563 -0.04255477034679664051 -0.19016663385470452326 -0.15457360083745374886
result:
ok OK. Max delta: 0.067679
Test #5:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
5 0.000000 0.444506 0.292333 0.209539 1.195824 0.444506 0.000000 0.220873 0.748833 0.757486 0.292333 0.220873 0.000000 0.533499 0.797167 0.209539 0.748833 0.533499 0.000000 1.141148 1.195824 0.757486 0.797167 1.141148 0.000000
output:
0.01352637399280917136 0.29471470910921472377 -0.19125636490625375744 0.24154003763321301050 -0.13459580518915312261 -0.04539229269695263749 0.11882695078111193312 0.01606633352940626551 -0.05651874680702476762 -0.17840060275835670879 0.44632733764325067870 -0.08212628136181363844 -0.195492759648777...
result:
ok OK. Max delta: 0.097656
Test #6:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
6 0.000000 0.932377 0.787009 0.996894 0.763544 0.651377 0.932377 0.000000 0.421278 1.155673 1.149686 0.508563 0.787009 0.421278 0.000000 0.709021 0.793974 0.224884 0.996894 1.155673 0.709021 0.000000 0.392548 0.957498 0.763544 1.149686 0.793974 0.392548 0.000000 0.714079 0.651377 0.508563 0.224884 0...
output:
-0.36294451191917751436 -0.14282433426013246304 -0.42376748995759466087 0.07937184730315231470 0.62029824198032880792 0.09866325035985978848 0.06664386187347846310 0.23605826025681095847 -0.00603121478809987482 0.39808349362033617545 -0.46241993072229721409 0.04618445192437814674 0.01935783102109224...
result:
ok OK. Max delta: 0.092774
Test #7:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
7 0.000000 0.688481 0.455407 0.777049 0.963980 0.255052 0.554599 0.688481 0.000000 0.596921 0.827787 1.260207 0.340235 0.493011 0.455407 0.596921 0.000000 0.609173 0.640567 0.352193 0.243913 0.777049 0.827787 0.609173 0.000000 0.858134 0.701131 0.393303 0.963980 1.260207 0.640567 0.858134 0.000000 0...
output:
-0.17738521753856264994 0.38292700678508311891 -0.01488997148653341642 0.38992023574925523767 0.19998823611973528354 0.28574597869162182825 -0.05007333439854178112 -0.00909408915177063433 0.06286451855052732385 0.13557154616964536825 -0.26634952889580411256 -0.37859822839544231938 -0.522933105043691...
result:
ok OK. Max delta: 0.080807
Test #8:
score: 0
Accepted
time: 12ms
memory: 4096kb
input:
8 0.000000 0.437494 0.934265 0.074097 0.673669 0.425700 0.479212 0.679270 0.437494 0.000000 0.331045 0.393801 0.527073 0.402792 0.375134 0.461133 0.934265 0.331045 0.000000 0.792317 0.605663 0.880433 0.786178 0.455534 0.074097 0.393801 0.792317 0.000000 0.681633 0.278020 0.327267 0.550058 0.673669 0...
output:
0.26861065544711875774 -0.05414477810746260343 0.27107475925213588290 -0.07219024883751082447 -0.03747852262551164174 -0.08088132720321209953 -0.38284521152451224626 -0.22656293935757477581 -0.31180866212321153917 0.17311182801925343290 0.02464632529536469530 0.22274678538793569885 0.223335247753618...
result:
ok OK. Max delta: 0.099753
Test #9:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
9 0.000000 0.883128 0.449200 0.525234 0.745161 0.323207 0.430759 1.247103 0.564870 0.883128 0.000000 0.664206 0.590150 0.433578 0.890708 0.741718 0.798316 1.033522 0.449200 0.664206 0.000000 0.326949 0.636800 0.523900 0.642051 0.680925 0.349474 0.525234 0.590150 0.326949 0.000000 0.523965 0.344241 0...
output:
0.24661525083428841406 0.07029136080299520228 -0.35816961367582698955 0.17769582939314149708 0.02241330815369537739 0.52134850282658967680 -0.19305399224139376191 0.09310740286288511197 -0.09315644585037530288 0.02443392980855629653 0.27711322362748729611 0.03715357908308873641 0.1812290440719310889...
result:
ok OK. Max delta: 0.099372
Test #10:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
10 0.000000 1.141963 0.357381 0.960442 0.887799 0.393165 1.000015 0.883861 1.059968 0.666258 1.141963 0.000000 0.730979 0.430440 0.528721 0.822481 0.567380 0.334929 0.552413 0.840500 0.357381 0.730979 0.000000 0.861027 0.623726 0.216981 0.719423 0.558824 0.726378 0.310217 0.960442 0.430440 0.861027 ...
output:
0.56380548171861672010 0.21297055588279724072 -0.29026018356478569508 -0.43763208416537058060 -0.12256500847191181819 0.03615133656545978903 0.22365618361470895694 0.23033772273358761921 -0.08498777969484115537 -0.18913921001670830758 -0.43027325013237322093 -0.23025493836001845744 0.038841862354621...
result:
ok OK. Max delta: 0.099870
Test #11:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
10 0.000000 0.508467 0.359704 0.705660 0.752608 0.632298 0.433047 0.541855 0.108842 0.652503 0.508467 0.000000 0.849608 0.542157 0.614068 0.673963 0.552462 0.470005 0.697815 0.822930 0.359704 0.849608 0.000000 0.832286 0.790254 0.844729 0.428335 0.707356 0.221649 0.447522 0.705660 0.542157 0.832286 ...
output:
0.13939324570168826786 0.20703530460716766562 -0.10755865246180268968 -0.31010442937878974934 -0.09975515819748214730 -0.29386343535881061153 0.29263077967440205145 0.25672324880397240154 0.19747515733756462893 -0.35715669317230680065 -0.21410391250236429685 0.21028844153281625237 0.0012210890652340...
result:
ok OK. Max delta: 0.099947
Test #12:
score: 0
Accepted
time: 11ms
memory: 4096kb
input:
10 0.000000 0.532841 1.081715 0.791902 0.304710 0.943952 0.318604 0.512618 0.263399 0.317304 0.532841 0.000000 0.617254 0.571776 0.863445 0.644868 0.534570 0.898453 0.767957 0.380512 1.081715 0.617254 0.000000 0.498716 1.118400 0.375946 0.739541 1.081104 0.985516 0.778030 0.791902 0.571776 0.498716 ...
output:
0.28548403079837893453 -0.04569493047859050133 0.24091217002903723927 0.13828005157586423951 -0.33189147750871870828 -0.24653694614567968845 -0.08585862945206198046 -0.01917404356050730652 -0.66788417881779048405 -0.34473999593002481432 0.00295087725259955696 -0.29158879837293524557 0.09558258405965...
result:
ok OK. Max delta: 0.099621
Test #13:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
10 0.000000 0.337812 0.820740 0.714576 0.958294 1.114603 1.052855 0.816204 0.921684 0.581533 0.337812 0.000000 0.588126 0.550959 0.851936 1.076003 0.824637 0.634512 0.630209 0.781504 0.820740 0.588126 0.000000 0.754545 0.853344 0.651402 0.625435 0.521290 0.463145 0.927492 0.714576 0.550959 0.754545 ...
output:
0.06367539067397663967 0.45927232190160702780 0.40293629775533067053 -0.10807524660812344308 0.40513300120433927786 0.15847988281539696081 -0.11949579611383499808 0.17432664382917718531 -0.37325587047642243331 0.47721275296822136718 0.16485615615282747683 0.05562016528202392499 -0.256652990430480223...
result:
ok OK. Max delta: 0.099497
Test #14:
score: 0
Accepted
time: 8ms
memory: 3968kb
input:
10 0.000000 0.157221 0.630350 0.940948 0.790907 0.666502 0.536584 0.506196 0.353744 0.642539 0.157221 0.000000 0.582092 1.279081 0.812532 0.810677 0.850103 0.865478 0.320962 0.694578 0.630350 0.582092 0.000000 1.171965 1.045437 1.168568 0.582206 0.854963 0.513105 1.137099 0.940948 1.279081 1.171965 ...
output:
-0.22121544771134562016 -0.06321574729477354770 -0.22161446528291280284 -0.28994467146335663123 -0.30380543220034183293 -0.27954182059814810306 0.20303563940597222650 -0.18924697622314357509 -0.62295699052417188743 0.33454765132991912948 0.62628747462893880152 0.20711063572037421391 0.21462825478973...
result:
ok OK. Max delta: 0.099611
Test #15:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
10 0.000000 0.655953 0.416075 0.956128 0.351321 0.411663 0.904277 0.786858 0.961004 1.159073 0.655953 0.000000 0.398507 0.430374 0.378366 0.531641 0.789955 0.396050 0.368849 1.088933 0.416075 0.398507 0.000000 0.976294 0.461240 0.328488 0.979923 0.705916 0.884932 1.254989 0.956128 0.430374 0.976294 ...
output:
0.15528520660369664447 0.10399793643467395357 -0.49668972541317322908 -0.29895392146190443976 0.04318420535155178752 -0.02606504190071064680 -0.17116753105437814606 0.33150585871284371549 -0.39255120923006497376 -0.24225524454469709836 -0.36784004987448748838 0.17827752531138550506 0.051037403797919...
result:
ok OK. Max delta: 0.099694
Test #16:
score: 0
Accepted
time: 12ms
memory: 3968kb
input:
10 0.000000 0.672245 0.576475 0.810904 0.599396 0.493165 0.431514 0.511677 0.859634 0.881368 0.672245 0.000000 1.249406 1.027657 0.113558 0.392208 0.862698 0.329856 1.012059 1.039747 0.576475 1.249406 0.000000 0.869439 1.254676 1.087547 0.535956 1.182094 0.744887 0.645939 0.810904 1.027657 0.869439 ...
output:
-0.02895836819587874059 0.14720060317716076191 -0.28802817835041416775 -0.45321530615946042198 -0.32430737808645927956 -0.11160954953555365867 0.46270870377674753587 0.53168610468205621466 -0.10547853969543732829 0.39245090104541411729 -0.11087550257037696272 0.38291643451414594356 -0.46081212430442...
result:
ok OK. Max delta: 0.099762
Test #17:
score: 0
Accepted
time: 1ms
memory: 3968kb
input:
10 0.000000 0.609276 0.612588 0.898616 0.668529 0.802163 0.126104 0.681054 0.761434 0.310892 0.609276 0.000000 0.922363 0.423227 0.591390 0.662160 0.751720 0.241917 0.563127 0.693959 0.612588 0.922363 0.000000 0.873479 0.681583 0.707351 0.595097 0.923846 0.768951 0.393683 0.898616 0.423227 0.873479 ...
output:
0.29640323678245124528 0.13955004969883187812 -0.34461988200424932441 -0.23770815314750007229 0.38581573036500474162 -0.03140094191295964428 0.00040908116676378767 -0.42575534882118096089 -0.37955341085003782255 -0.29597398707620339639 0.03066318600185453415 0.29306218143739844173 -0.027692067316998...
result:
ok OK. Max delta: 0.099991
Test #18:
score: -100
Time Limit Exceeded
input:
10 0.000000 0.542508 0.426558 0.741404 0.733105 0.586307 0.271270 0.847645 0.757695 0.830800 0.542508 0.000000 0.497136 1.012191 1.083431 0.944439 0.618287 0.696705 0.472089 0.354373 0.426558 0.497136 0.000000 0.973354 0.928175 0.884683 0.594828 0.699473 0.534409 0.737409 0.741404 1.012191 0.973354 ...