QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#871515 | #8614. 3D | ucup-team6275# | TL | 208ms | 4096kb | C++23 | 4.2kb | 2025-01-25 20:57:43 | 2025-01-25 20:57:48 |
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() + 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;
}
详细
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:
0.25445504666716985619 -0.16939137718752523317 -0.22726231927303262341 -0.26143092849210430471 0.03309709802196345100 0.22410749939507545184 -0.07014193433811168927 0.35927172772270476233 -0.08585480347084188443 0.07711781616304613795 -0.22297744855714298019 0.08900962334879905603
result:
ok OK. Max delta: 0.078794
Test #2:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
1 0.000000
output:
0.00000000000000000000 0.00000000000000000000 0.00000000000000000000
result:
ok OK. Max delta: 0.000000
Test #3:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
2 0.000000 0.938096 0.938096 0.000000
output:
0.19170047959496078725 -0.08134259896992707774 0.42028601454233477879 -0.19170047959496078723 0.08134259896992707774 -0.42028601454233477879
result:
ok OK. Max delta: 0.000000
Test #4:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
3 0.000000 0.769195 0.308169 0.769195 0.000000 0.686850 0.308169 0.686850 0.000000
output:
0.10672056290879934550 -0.23018522833870822176 -0.14676484382582916170 -0.36162865148296008589 0.11266365490383980965 0.29200055631563221696 0.25490808857416074039 0.11752157343486841214 -0.14523571248980305537
result:
ok OK. Max delta: 0.069802
Test #5:
score: 0
Accepted
time: 0ms
memory: 3968kb
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:
-0.29590795642317880624 -0.09812629970796835606 -0.16592654758932293385 -0.05426362494744047194 0.31816080788491265890 0.03487451500618747190 -0.04235334428417888503 0.12272540996104296145 -0.11486897585851411132 -0.30733842545220405507 -0.34057437233301738716 -0.03610157929010324195 0.6998633511070...
result:
ok OK. Max delta: 0.099729
Test #6:
score: 0
Accepted
time: 0ms
memory: 3968kb
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:
0.01611868390933300893 0.57704973674247098873 -0.04133442784513671194 0.57274526423192822854 -0.17960100163510019013 0.15169345424783119489 0.18436713118062616915 -0.17433609810511086616 -0.18344472333826297196 -0.54896032489729077071 -0.29228645052915071159 0.03037403667972799477 -0.479802859556391...
result:
ok OK. Max delta: 0.091736
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:
-0.07177940660349307200 0.14376272049458525294 0.37061161352253304947 -0.27487863052238330474 -0.43509671205706535005 0.14241045057995274859 -0.03394582967776463040 0.07141756596527400560 -0.09136558374577389367 0.49061512923083566419 -0.09621686100435553946 -0.07052636809105314506 -0.05419591011904...
result:
ok OK. Max delta: 0.091702
Test #8:
score: 0
Accepted
time: 0ms
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:
0.31611961881276567075 0.17820262050853122676 -0.08935471771268732434 -0.06090753282684496705 -0.09443862865410731670 0.07692791047013678427 -0.12272777352011276193 -0.44247935988813084978 0.28814457258860058842 0.20493410604278451491 0.12559698348707580223 -0.12543605307594343342 -0.106968386091096...
result:
ok OK. Max delta: 0.099151
Test #9:
score: 0
Accepted
time: 1ms
memory: 4096kb
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:
-0.13094706092220827917 -0.06023080562520691860 0.42741533114953384509 0.44139810621580629631 -0.07997042381154812602 -0.30411261886210452785 -0.20051684040184083378 0.06178962840743341983 -0.06355595909016030718 -0.05738839134152191949 -0.23782430236669469212 -0.00185586290351522038 0.4309967870457...
result:
ok OK. Max delta: 0.099042
Test #10:
score: 0
Accepted
time: 0ms
memory: 3968kb
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:
0.32960276095938683219 -0.44189791045657463863 0.36627840478284911372 -0.30709008603221083075 0.30168080395870908717 -0.19859407195536100985 0.27135197786609716687 -0.13944394386745783521 0.12448476511423253315 -0.44301266628939145182 -0.18292119474593378582 -0.22283341765207383070 -0.20762402662479...
result:
ok OK. Max delta: 0.099833
Test #11:
score: 0
Accepted
time: 1ms
memory: 3968kb
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:
0.22870871035418678679 -0.15272737049118691817 -0.02936052802710432132 -0.28811100110610904484 -0.29773842902204380120 0.13077515432224707593 0.37385525562998691337 0.13169324766629521384 -0.18357324502730613117 -0.43949127169888305426 0.15479767930212447259 -0.04666942239682644091 -0.20148553848886...
result:
ok OK. Max delta: 0.099590
Test #12:
score: 0
Accepted
time: 1ms
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:
-0.04130917603952689426 0.10635823473930963986 0.35778391314778022688 -0.28520371593923588748 -0.31918380652402442439 0.05695215159946286053 -0.03493648570042649846 -0.55948513087141397575 -0.37639948148473443158 0.05303660692530581388 -0.14183727960002210317 -0.42260082124376608151 0.04526974786119...
result:
ok OK. Max delta: 0.099873
Test #13:
score: 0
Accepted
time: 0ms
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:
-0.42795731428099172730 0.01869996938774792366 0.44781169458045206054 -0.18851495697438634300 -0.16635028114272663252 0.37673400553815716379 0.17039189468064199926 -0.39569459761671501476 0.05779473618444354789 -0.47930697789190574657 -0.09548454465044944889 -0.18436285245155390181 0.326979310513168...
result:
ok OK. Max delta: 0.099243
Test #14:
score: 0
Accepted
time: 208ms
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:
-0.03640403154812643148 -0.19119365727003691688 -0.23779841852341051563 -0.20864649733640288793 -0.22945301645470072134 -0.41560178018980416354 -0.33256536321254166587 -0.59445830835290073202 0.05666100318981751879 0.41864521378756943819 0.13279077473978938810 0.59620584756519003620 -0.1328154109314...
result:
ok OK. Max delta: 0.094848
Test #15:
score: 0
Accepted
time: 1ms
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:
0.01747955608881463164 -0.44054946925667082432 0.33030615236158084440 0.18207321865929093364 0.10098218680307965287 0.16559138398841317499 0.38104942723388471657 -0.32301726858101272838 0.20829020503116096576 -0.06121041252436948817 0.46046260005184222445 0.09016582105796482901 0.0323483934801819299...
result:
ok OK. Max delta: 0.099195
Test #16:
score: 0
Accepted
time: 0ms
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:
0.29516740432416963534 -0.12098818228897677770 0.10049765400395808852 -0.26803252839708005713 -0.28487036712711322683 0.40917862529416437203 0.52515973275153568414 0.14107453899570810956 -0.45926955453294072263 -0.14804920006843779918 0.50358843296278383347 -0.18202002986453422531 -0.267153174524872...
result:
ok OK. Max delta: 0.097982
Test #17:
score: 0
Accepted
time: 0ms
memory: 4096kb
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:
-0.16892532004261331163 -0.26490966562686478499 0.35789943912350633047 -0.40969229813501801543 0.03130887949448700355 -0.18493994356851112547 0.43768491480101683402 -0.35724755264065317394 0.13729801405477066759 -0.04305054745945880872 0.28622789663602068097 -0.31054222964274926587 0.100149026737108...
result:
ok OK. Max delta: 0.097548
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 ...