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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. 3Ducup-team6275#TL 12ms4096kbC++234.2kb2025-01-25 20:55:422025-01-25 20:55:50

Judging History

你现在查看的是最新测评结果

  • [2025-01-25 20:55:50]
  • 评测
  • 测评结果:TL
  • 用时:12ms
  • 内存:4096kb
  • [2025-01-25 20:55:42]
  • 提交

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 ...

output:


result: