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 |
---|---|---|---|---|---|---|---|---|---|
#871519 | #8614. 3D | ucup-team6275# | TL | 8ms | 4096kb | C++23 | 4.2kb | 2025-01-25 20:58:26 | 2025-01-25 20:58:26 |
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() * 5;
pts[i].y = get_random_ld() * 5;
pts[i].z = get_random_ld() * 5;
}
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 >= 1000) {
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: 0ms
memory: 4096kb
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:
0.26619833415110989369 -0.25642656086814166055 -0.03551848389833465016 -0.12292968759550952705 0.27771023708019094793 0.02158741085921891218 -0.23729670596100573715 -0.05828697397302510055 0.24271933288001083079 0.09402805940540537115 0.03700329776097581349 -0.22878825984089509260
result:
ok OK. Max delta: 0.098429
Test #2:
score: 0
Accepted
time: 0ms
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: 1ms
memory: 3968kb
input:
2 0.000000 0.938096 0.938096 0.000000
output:
0.03725671336321126868 0.39699447163237374173 -0.24700881179970870724 -0.03725671336321126868 -0.39699447163237374129 0.24700881179970870724
result:
ok OK. Max delta: 0.000000
Test #4:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
3 0.000000 0.769195 0.308169 0.769195 0.000000 0.686850 0.308169 0.686850 0.000000
output:
0.26519105541981111916 -0.12219047540538932866 -0.09856349919445984021 -0.31640904837435109134 -0.01718395527384011367 0.32611934079471720173 0.05121799295453997218 0.13937443067922944189 -0.22755584160025736184
result:
ok OK. Max delta: 0.053549
Test #5:
score: 0
Accepted
time: 1ms
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:
-0.32829099641527458877 0.09544507851212833630 -0.06277529167492913286 0.03556451456105817115 -0.12661498024503344147 -0.26550905607925893081 -0.12054810088920902016 -0.17206493013744902617 0.00418406898445107458 -0.28869126375981648798 0.34720799068187631776 0.09493891079187300451 0.701965846503241...
result:
ok OK. Max delta: 0.098565
Test #6:
score: 0
Accepted
time: 0ms
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:
-0.20526084133553302875 0.34013552745163845082 -0.40645588599945363167 0.30424421456820311175 -0.50443326120317997867 -0.23930226172020208639 0.17367187249719735591 -0.19539763870628788257 0.01659548729146981846 -0.41762357288400186561 0.01557257202096831695 0.44480171623420226000 -0.096975876220974...
result:
ok OK. Max delta: 0.099527
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:
0.24919580862904895343 0.01580322388771014056 0.33336749186229084761 -0.31463096942241171598 -0.34969400789961376094 0.23495510887529501504 0.10025095370845109658 0.08767090195574409853 -0.01795407714921829628 -0.32455888688723925385 0.35195170103857258614 -0.18259508934755230326 0.45010487025117326...
result:
ok OK. Max delta: 0.099747
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:
0.03733593354046749386 -0.02397270109902487935 0.37266437942337261890 -0.00928993885911405786 -0.07530457846343380766 -0.12809030878913834619 -0.22938862143863093064 0.00819667205003693337 -0.48763159085100127028 0.08860937770685369647 0.00124260002238736253 0.26246241859532980657 -0.457102349078244...
result:
ok OK. Max delta: 0.099672
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:
0.22765966733632366859 0.37868843664062286206 0.08933800947431678129 -0.49599374023084135570 0.06316840606392263864 -0.24728113103851248589 0.16592699579080021511 -0.11862931977201465793 -0.02915360034629481639 0.05678675172764665875 0.07525166312316149586 -0.24206308025474479505 -0.4064804264829035...
result:
ok OK. Max delta: 0.099548
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:
-0.64555703391499528359 0.15387189578963030284 0.08887828172826676000 0.43815380480328831089 -0.15956195664606917560 -0.02656316470505227720 -0.26232692240310510575 0.14433237977395765210 0.13191663605975172515 0.09945143171952801038 -0.44782180185348316871 -0.26989031419058549409 0.1539954200091884...
result:
ok OK. Max delta: 0.098178
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:
-0.26306917783882151720 0.02011566313220039797 0.00629321633688576529 0.08388218480735105140 -0.28824988332596820765 -0.30866289431128462279 -0.25447375766697818674 0.23494651016847801529 0.27345368591576836494 0.36243098895654996634 -0.27554308555209665191 0.11008102605307075223 0.46838581214548781...
result:
ok OK. Max delta: 0.099613
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:
0.12017821613840450263 0.10873575457831025299 0.34087878156013095426 -0.35364283429686805128 0.21972377922893675272 -0.03110910799506951094 -0.56899895159538327414 -0.14372363919063125084 -0.33148923977809601491 -0.12787873531856635135 -0.32417247823122737321 -0.28746800810316463495 0.40724770594357...
result:
ok OK. Max delta: 0.098891
Test #13:
score: 0
Accepted
time: 0ms
memory: 3968kb
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:
0.44808034944074222523 0.15563547816471740861 0.39239460603680358596 0.36677138931276028486 -0.15199933809181675299 0.22471746090429729108 0.06122232153225263401 -0.31408402193462150564 -0.26117968012752588026 0.37872946795850518254 0.26077390480748687527 -0.25229758912988701743 -0.50462600482206384...
result:
ok OK. Max delta: 0.097772
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:
0.30985897391633351059 0.03446725561722994578 -0.07960121611268440589 0.42022346015407379826 -0.01226839217116333452 -0.30535190194082917651 0.25227361449322965761 -0.61477855190726562367 -0.04365927406943194942 -0.18520106805160098775 0.06202043930348008429 0.71670864811961203515 -0.466329128646229...
result:
ok OK. Max delta: 0.099571
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:
-0.50166463158550412085 0.21864177017167164894 0.00180925348030023234 -0.00916297702075604271 -0.10137584473763414030 -0.27746829394864944954 -0.46088199477452164638 -0.00846407259354936417 -0.28458881509963179042 0.42449627137784064885 0.05346389904978756432 -0.19852006111555172210 -0.1816051127824...
result:
ok OK. Max delta: 0.099252
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:
-0.30968611685474327453 -0.01434637947347451332 -0.05321289839077713831 0.08690683536148049537 -0.02665032352606665385 -0.55620563770229603439 -0.38130754372820987845 0.24998962475533493622 0.53390548111593988910 0.35595805426455654570 -0.18529021973551251215 0.39890782876817910767 0.216267824519852...
result:
ok OK. Max delta: 0.099233
Test #17:
score: 0
Accepted
time: 0ms
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:
-0.36914888308660435046 -0.11517476642953727493 0.27261080607453037320 -0.23890237744908730051 0.02142410523967497120 -0.38300136479602387546 -0.02890618118785518733 0.42364489902588832243 0.38879174120579173819 0.23297380911092649153 -0.04483062046627249507 -0.35622410459864510611 0.206490101176961...
result:
ok OK. Max delta: 0.099495
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 ...