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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 |
---|---|---|---|---|---|---|---|---|---|
#871498 | #8614. 3D | ucup-team6275# | TL | 110ms | 4096kb | C++23 | 4.3kb | 2025-01-25 20:54:29 | 2025-01-25 20:54:34 |
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 >= 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:
0.25299501455856113918 0.27590362017970485590 -0.08367908820629083318 -0.36554181253154999914 -0.06104157065285696209 0.12201394609542694247 -0.05437004924267419264 -0.11397895532807653831 -0.22246789280184101358 0.16691684721566305244 -0.10088309419877135553 0.18413303491270490429
result:
ok OK. Max delta: 0.091262
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: 0ms
memory: 3968kb
input:
2 0.000000 0.938096 0.938096 0.000000
output:
-0.35528591006087365645 0.30543502295402733684 -0.02207702809006658424 0.35528591006087365645 -0.30543502295402733682 0.02207702809006658419
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:
0.13464520218854426887 -0.24687222418465488157 0.06249323747147834485 -0.32553435227066941383 0.16923586579015831280 -0.25638972358033228999 0.19088915008212514491 0.07763635839449656875 0.19389648610885394501
result:
ok OK. Max delta: 0.071630
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:
0.07490752487857240812 0.30397281689477818195 -0.17358713161661244842 0.07059996321397579402 -0.20723526617520831059 -0.15463097468363847252 -0.06441698794345765482 -0.02963094856606281684 -0.19726432415471664579 -0.04997255686812612911 0.45609157785364944819 -0.01363401481310254308 -0.0311179432809...
result:
ok OK. Max delta: 0.098828
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:
0.44565176926433199976 -0.27714195771192898281 0.01399927684788031308 0.13028499469560334933 0.36428120849322845988 0.50050504776752182800 -0.20843278731044402211 0.11658613932178616242 0.19887012831006917090 -0.20093472827489482826 0.12162340490806189121 -0.55114898817712637113 -0.06400478431064864...
result:
ok OK. Max delta: 0.095506
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:
-0.29385149586755382058 0.26589720138210206949 -0.00918720727380189421 -0.29334964562987107095 -0.27746987796884574091 -0.35391985446509871430 0.11886028059436201635 0.01031328152963552957 -0.01582294038931229325 0.04395234989768704179 -0.22655838125706325363 0.46051018591501005216 0.618579116172214...
result:
ok OK. Max delta: 0.095348
Test #8:
score: 0
Accepted
time: 1ms
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:
0.00375723512934348215 -0.15520884028796285597 -0.34332277819527270410 -0.03778262185478385097 0.07999886768190875210 0.11261635571471995517 -0.29914105882983207317 0.08948932023397507054 0.45413865474899174374 0.07914485177927571284 -0.14938458129470031834 -0.21236953887122126681 -0.236148380981383...
result:
ok OK. Max delta: 0.099113
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:
-0.03977458210731361145 0.39700727357576549073 0.21789224961073296703 -0.26565452331154666980 -0.21333175728032716227 -0.44404846645563754356 0.05009098013018304589 -0.07975951296775060157 0.17578960068028601034 -0.25722051166896977098 0.04879292647043029238 0.06780953187712744610 -0.004191969342730...
result:
ok OK. Max delta: 0.099530
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:
0.58279488276009823005 -0.31202820219705647750 0.08799393914917778782 -0.43236751256355513066 0.20022718928129470590 -0.02846914661032017604 0.32657531890020114921 -0.03847576996013718449 0.05044026977754655335 -0.34813212017040003711 -0.13623211398124928739 -0.38595389001782061866 -0.22763863677439...
result:
ok OK. Max delta: 0.098877
Test #11:
score: 0
Accepted
time: 1ms
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:
0.02933909895862903659 0.13390747319484878333 0.23607098692051844740 -0.23290536623846810626 -0.34174771774235287373 0.10481681044253644264 0.24083152025648487920 0.35975416106225090006 0.07786864185713136710 0.07918817712177555863 -0.35231089757552446815 -0.29109276720021993957 -0.25872409427133209...
result:
ok OK. Max delta: 0.099732
Test #12:
score: 0
Accepted
time: 20ms
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:
0.11422283178475960201 0.10203329877493591775 0.35336297631381911519 -0.17092652349623942479 -0.36035973566572576896 0.16348179211401900660 -0.34035561682469572058 -0.39603401322232994122 -0.41855720963694710319 0.03194611665523208787 -0.19020988876477909273 -0.40280800705521225831 0.108760827958392...
result:
ok OK. Max delta: 0.099868
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:
0.27945454875557570253 -0.11688561568846120384 0.53720013762323510950 0.05984557912704036983 0.09887435733409628206 0.44072815397176764193 -0.11231331082345711869 0.41817833492315114322 0.00596168423049205442 0.51348831289389062523 0.08620015336451380771 -0.02563123412987953017 -0.345959732515712985...
result:
ok OK. Max delta: 0.099766
Test #14:
score: 0
Accepted
time: 110ms
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:
0.19379785143249265501 -0.10322815067128034646 0.23681210428619487381 0.11328833492633243668 -0.16575226696730501131 0.47285105403338356284 0.08244344435821329876 0.45889894148567928335 0.48280645323415032297 0.34267660505268787740 0.21751394337009345026 -0.62319749753646669409 -0.481843905335481891...
result:
ok OK. Max delta: 0.099889
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:
-0.14304625618456244315 0.37043841346964771506 0.39752460065486299235 0.29597560463647984566 0.05989111222677831372 -0.06641335686527949174 0.19206075705889965401 0.52221092693803586955 0.04097981093005193025 0.23698364159249737059 -0.39315416175824972021 0.01255709919199189916 -0.046148812775649492...
result:
ok OK. Max delta: 0.099181
Test #16:
score: 0
Accepted
time: 17ms
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:
0.09775370806044790908 -0.29322424527700873825 -0.12003109887561807923 -0.50304610727785365869 -0.24566036304613285844 0.02089248325874778670 0.69967810495421997987 -0.09609352472721453879 -0.03185554421099131314 0.11027409588654425569 0.50705553733689174314 0.21574894818674044317 -0.478911769730708...
result:
ok OK. Max delta: 0.099945
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:
-0.45694195454338809137 0.01106013553330687378 -0.12409136591153260344 0.15092066282776348018 -0.31040525724732280377 -0.28970360685599647220 -0.08332463917663456433 0.55389066327159001784 -0.11020030416777552062 0.37709057801899930365 -0.16742961884195447451 0.07501880706539053992 0.118775525559059...
result:
ok OK. Max delta: 0.098018
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 ...