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 |
---|---|---|---|---|---|---|---|---|---|
#871492 | #8614. 3D | ucup-team6275# | TL | 45ms | 4096kb | C++23 | 4.3kb | 2025-01-25 20:53:08 | 2025-01-25 20:53:15 |
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]), ypp = pts[i] - (pts[v] - pts[i]).norm(d[v][i]);
if (dist(yp, pts[v]) > dist(ypp, pts[v]))
yp = ypp;
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 >= 5000) {
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: 0ms
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:
0.14175851761741113162 -0.09823379810352447089 0.34274364931074677510 0.09533610539636145313 -0.08394496775045192700 -0.36323088678794077881 -0.30988361862124747331 -0.00749633548768977235 -0.08594032453951817467 0.07278899560747488842 0.18967510134166617021 0.10642756201671217827
result:
ok OK. Max delta: 0.097706
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:
-0.12073544097054209992 0.44640575357531735826 0.07842756385673201389 0.12073544097054209994 -0.44640575357531735824 -0.07842756385673201389
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:
-0.17794849154093982094 0.09353504059747124724 0.09154422495390163045 0.33077454586836398264 -0.33798216830411531751 0.00327222361229132021 -0.15282605432742416162 0.24444712770664407024 -0.09481644856619295068
result:
ok OK. Max delta: 0.096292
Test #5:
score: 0
Accepted
time: 1ms
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:
0.16070577838164642028 0.11812413331701670209 0.28510863804966565777 0.06547549890799996220 -0.29802572558817265718 0.02705530261596678099 0.08331513499420094304 -0.08840111874480188287 0.05247437001770609608 0.00384965028745198234 0.34806032834377415085 0.31838606495192633836 -0.3133460625712993077...
result:
ok OK. Max delta: 0.099848
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:
0.56572901882876717517 -0.01254703230919073636 -0.09586978872969118264 -0.25055659587666274593 0.24098668941181220499 -0.53567225416434269204 -0.19438203815058100330 0.15525147696988063413 -0.12906133975038257131 -0.22530146640699607542 -0.14464832087921415512 0.56490671543851101859 0.13506351088884...
result:
ok OK. Max delta: 0.099357
Test #7:
score: 0
Accepted
time: 0ms
memory: 3968kb
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:
-0.30916882333060081886 0.00173424706380889275 -0.22332221569092270532 -0.34232942086339886582 -0.24566332896025263184 0.33109801106602611165 0.12552604367797494964 -0.05808035826311700085 -0.00351169641764619264 0.09965315858648955455 0.48139840571397147118 0.12294789838593178896 0.5737339793440392...
result:
ok OK. Max delta: 0.098652
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:
0.29043551745325429258 -0.20533097398469342106 -0.13302296489759506552 -0.11627703195779848298 0.03201996425727809162 0.05460564511202197543 -0.48983515781482804210 0.23482324021934428674 -0.01434385769743403110 0.24958962356786553425 -0.08463606355222834079 -0.07564923108846801977 -0.33713001211318...
result:
ok OK. Max delta: 0.099570
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:
0.21613624196171546190 0.32444934577314089202 -0.22053198768749664857 0.24554853343685584182 -0.48453178663858963859 0.07912329620819946534 -0.12672245671828252244 0.12144048013175191570 0.09426275032073403918 0.16212064979301692708 0.07687580671318503987 0.17564874495038704304 -0.030500916320110715...
result:
ok OK. Max delta: 0.099488
Test #10:
score: 0
Accepted
time: 1ms
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:
0.59425314830141318236 -0.14484616501325586256 0.26772382111644802200 -0.39567266040040878128 0.10005835879746271066 -0.25375645286624128044 0.24791606374258613998 0.05070654877328983445 0.21226597045502375817 -0.13132566470172090425 -0.32686493380955366976 -0.39519397146097813242 0.0534637392420726...
result:
ok OK. Max delta: 0.098127
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:
0.05724953250878574878 0.00090348424293851734 0.25811342150677305972 -0.02041115216456637805 0.41056693183207695959 -0.13252015483357425707 0.02912151408200768220 -0.33566339056102194226 0.29514134141293067601 -0.23156426756960859248 0.02109303898404120219 -0.39838695156358920380 0.24368394964624653...
result:
ok OK. Max delta: 0.099216
Test #12:
score: 0
Accepted
time: 3ms
memory: 3968kb
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:
0.33435358443347778579 -0.15490971224853198452 -0.10312463673012715049 0.14474489394223026865 0.16342710616793073599 0.37749043218599438390 -0.49409070339516418665 0.32074319464627239993 0.31754116321436854953 -0.28313915861117369850 -0.15552687808284353072 0.32134474499233422963 0.24138330861252101...
result:
ok OK. Max delta: 0.099454
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:
-0.40354617956044801973 0.43062582086377810129 0.14180471967619105988 -0.13808279740967541662 0.42982568356055096082 -0.06345703580112650900 0.23251595623599624510 0.09170080003163386475 -0.35458860899222917234 -0.43974985948387945801 -0.06471889630295789004 -0.27967735859702013668 0.326878346315820...
result:
ok OK. Max delta: 0.097685
Test #14:
score: 0
Accepted
time: 45ms
memory: 4096kb
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:
0.28161301284629282885 -0.05954287157352265952 -0.16007001614901070673 0.32278666033279601475 -0.25621520274462821615 -0.30432035451833159501 0.35842980921563798868 -0.49990861958269424301 0.27312446671529118570 -0.14010647973582987497 0.55923499225657858410 0.46059074565181777161 -0.488250368763221...
result:
ok OK. Max delta: 0.097690
Test #15:
score: 0
Accepted
time: 0ms
memory: 4096kb
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:
-0.52394733213225691575 -0.10382412968166836845 0.14377593904630488078 -0.08656218777989598033 -0.11103382114581563864 -0.23185638747681868376 -0.33630859742002128091 -0.42336662650922138868 0.04021944666722177800 0.33842638192711667827 -0.00146036885490787523 -0.32723721946432277901 -0.158066841564...
result:
ok OK. Max delta: 0.099769
Test #16:
score: 0
Accepted
time: 1ms
memory: 4096kb
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:
-0.21393059023137041952 0.04517991472698226101 0.23923810787123905863 0.28723582025795564378 -0.36658320400705160025 0.33378897760425760641 -0.56812155530366818151 0.38179620595804063807 -0.20543208041632000902 0.05961405924133091443 0.01669369289413068967 -0.55066297825388084886 0.36460204053332686...
result:
ok OK. Max delta: 0.098655
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:
-0.22093367381969320257 0.36376367279246674575 0.20163193074158050145 -0.13911105949662731104 -0.25232951309988344989 0.34070869953344170346 -0.24378878678774488589 0.30187246880899859980 -0.42181273461879154543 0.08588441771453126966 -0.40782831864297285670 -0.00447294305201255144 0.175765766712203...
result:
ok OK. Max delta: 0.099439
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 ...