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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
#871492#8614. 3Ducup-team6275#TL 45ms4096kbC++234.3kb2025-01-25 20:53:082025-01-25 20:53:15

Judging History

你现在查看的是最新测评结果

  • [2025-01-25 20:53:15]
  • 评测
  • 测评结果:TL
  • 用时:45ms
  • 内存:4096kb
  • [2025-01-25 20:53:08]
  • 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]), 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;
}

详细

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 ...

output:


result: