QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#795956#2597. Yellow Blue BusCrysflyAC ✓842ms18740kbC++147.3kb2024-12-01 05:06:312024-12-01 05:06:32

Judging History

This is the latest submission verdict.

  • [2024-12-01 05:06:32]
  • Judged
  • Verdict: AC
  • Time: 842ms
  • Memory: 18740kb
  • [2024-12-01 05:06:31]
  • Submitted

answer

//
#ifdef DEBUG
#define _GLIBCXX_DEBUG
#endif
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
typedef double ld;
typedef long long ll;
int n, m;
struct Point{
    ld x, y;
    Point(ld x, ld y) : x(x), y(y) {}
    Point() {}
};
Point operator-(const Point& a, const Point& b) {
    return Point{a.x - b.x, a.y - b.y};
}
ld operator *(const Point& a, const Point& b) {
    return a.x * b.y - a.y * b.x;
}

ld det(ld a11, ld a12, ld a21, ld a22) {
    return (a11 * a22 - a21 * a12);
}
const ld eps = 1e-8;
bool Gr(ld a, ld b) {
    return a - b > eps;
}
bool Eq(ld a, ld b) {
    return fabs(a - b) < eps;
}
struct Plane{
    Point v;
    Point M;
    Plane() {}
    Plane(const Point& f2, const Point& f1) {
        M = f2;
        ld len = sqrt(f1.x * f1.x + f1.y * f1.y);
        v = {f1.x / len, f1.y / len};
    }
    bool contain(const Point& f) const {
        return Gr(v * (f - M), 0.0);
    }
    Point getPoint(const Plane& other) {
        ld D = det(v.x, -other.v.x, v.y, -other.v.y);
        if (Eq(D, 0.0)) return {1e12, 1e12};
        ld alpha = det(other.M.x - M.x, -other.v.x, other.M.y - M.y, -other.v.y) / D;
        Point t{M.x + alpha * v.x, M.y + alpha * v.y};
        return t;
    }
};

int half(const Point& v) {
    if (Gr(v.y, 0.0) || (Eq(v.y, 0.0) && Gr(v.x, 0.0))) return 1;
    return 2;
}
bool cmpPlane(const Plane& a, const Plane& b) {
    if (half(a.v) != half(b.v)) {
        return half(a.v) < half(b.v);
    }
    ld d = a.v * b.v;
    if (!Eq(d, 0.0)) {
        return d > eps;
    }
    return b.contain(a.M);
}
bool eqPlane(const Plane& a, const Plane& b) {
    return Eq(a.v * b.v, 0.0);
}
const int maxN = 500005;
Plane pl[maxN];
Plane res[maxN];
const ld maxC = (ld)1e9 + 148888;
Point ans[maxN];
int cntPl = 0;
int halfPlaneIntersect() {
    Point box[4];
    box[0] = Point(-maxC, -maxC);
    box[1] = Point(maxC, -maxC);
    box[2] = Point(maxC, maxC);
    box[3] = Point(-maxC, maxC);
    for (int i = 0; i < 4; i++) {
        pl[cntPl++] = Plane(box[i], box[(i + 1) % 4] - box[i]);
    }
    sort(pl, pl + cntPl, cmpPlane);
    cntPl = unique(pl, pl + cntPl, eqPlane) - pl;
    int l = 0;
    int r = 0;
    for (int i = 0; i < cntPl; i++) {
        while (r - l > 1 && !pl[i].contain(res[r - 1].getPoint(res[r - 2]))) {
            r--;
        }
        while (r - l > 1 && !pl[i].contain(res[l].getPoint(res[l + 1]))) {
            l++;
        }
        if (r - l > 0 && (Eq(res[r - 1].v * pl[i].v, 0.0) || Gr(0.0, res[r - 1].v * pl[i].v))) return 0;
        if (r - l < 2 || res[l].contain(pl[i].getPoint(res[r - 1]))) {
            res[r++] = pl[i];
        }
    }
    int cntPts = 0;
    for (int i = l; i < r - 1; i++) {
        ans[cntPts++] = res[i].getPoint(res[i + 1]);
    }
    ans[cntPts++] = res[l].getPoint(res[r - 1]);
    return cntPts;
}
Point a[maxN], b[maxN];
ld dist(Point& a, Point& b) {
    return sqrt((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y));
}

const ld LIM = 1e9 - 15;
const int maxP = 2e5 + 10;
const ld gold_ratio =  (1.0 + sqrt(5)) / 2;

ld A[maxP], B[maxP], C[maxP], D[maxP];

int SZ = 0;
ld optX;
ld optY;
ld optZ;
ld getZ(ld X, ld Y) {
    ld at_least = -5e18;
    ld at_most = 5e18;
    for (int i = 0; i < SZ; i++) {
        if (C[i] > 0) {
            at_least = max(at_least, (-D[i] - A[i] * X - B[i] * Y) / C[i]);
        } else {
            at_most = min(at_most, (-D[i] - A[i] * X - B[i] * Y) / C[i]);
        }
    }
    optZ = (at_most + at_least) / 2;
    return at_most - at_least;
}
ld getY(ld X) {
    optX = X;
    ld min_y = -LIM;
    ld max_y = LIM;
    ld le_y = (gold_ratio * min_y + max_y) / (gold_ratio + 1);
    ld val_le = getZ(X, le_y);
    ld ri_y = (gold_ratio * max_y + min_y) / (gold_ratio + 1);
    ld val_ri = getZ(X, ri_y);
    for (int iter = 0; iter < 60; iter++) {
        if (val_le < val_ri) {
            min_y = le_y;
            le_y =  ri_y;
            val_le = val_ri;
            ri_y = (gold_ratio * max_y + min_y) / (gold_ratio + 1);
            val_ri = getZ(X, ri_y);
        }
        else {
            max_y = ri_y;
            ri_y = le_y;
            val_ri = val_le;
            le_y = (gold_ratio * min_y + max_y) / (gold_ratio + 1);
            val_le = getZ(X, le_y);
        }
    }
    optY = (min_y + max_y) / 2;
    return getZ(X, optY);
}
void other_solve() {
    SZ = 0;
    for (int i = 0; i < n; i++) {
        A[SZ] = -2 * a[i].x;
        B[SZ] = -2 * a[i].y;
        C[SZ] = -1;
        D[SZ] = a[i].x * a[i].x + a[i].y * a[i].y;
        SZ++;
    }
    for (int i = 0; i < m; i++) {
        A[SZ] = 2 * b[i].x;
        B[SZ] = 2 * b[i].y;
        C[SZ] = 1;
        D[SZ] = -b[i].x * b[i].x -b[i].y * b[i].y;
        SZ++;
    }
    ld min_x = -LIM;
    ld max_x = LIM;

    ld le_x = (gold_ratio * min_x + max_x) / (gold_ratio + 1);
    ld val_le = getY(le_x);
    ld ri_x = (gold_ratio * max_x + min_x) / (gold_ratio + 1);
    ld val_ri = getY(ri_x);
    for (int iter = 0; iter < 60; iter++) {
        if (val_le < val_ri) {
            min_x = le_x;
            le_x =  ri_x;
            val_le = val_ri;
            ri_x = (gold_ratio * max_x + min_x) / (gold_ratio + 1);
            val_ri = getY(ri_x);
        }
        else {
            max_x = ri_x;
            ri_x = le_x;
            val_ri = val_le;
            le_x = (gold_ratio * min_x + max_x) / (gold_ratio + 1);
            val_le = getY(le_x);
        }
    }
    ld x = (min_x + max_x) / 2;
    getY(x);
    ld y = optY;

    //    cout << x << " " << y << " " << getZ(x, y) << " " << getY(x) << endl;
    assert(getZ(x, y) >= 0);
    ld r_sq = optZ + x * x + y * y;
    r_sq = sqrt(r_sq);
    cout << fixed << setprecision(12) << r_sq  << "\n" << x << " " << y << '\n';
}

void solve() {
    cntPl = 0;
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> a[i].x >> a[i].y;
    }
    cin >> m;
    for (int i = 0; i < m; i++) {
        cin >> b[i].x >> b[i].y;
    }
    other_solve();
    return;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            Point mid = {(a[i].x + b[j].x) / 2, (a[i].y + b[j].y) / 2};
            Point r = b[j] - a[i];
            Point f(mid.x + r.y, mid.y - r.x);
            pl[cntPl++] = Plane(mid, f - mid);
            assert(pl[cntPl - 1].contain(b[j]));
            assert(!pl[cntPl - 1].contain(a[i]));
        }
    }

    int D = halfPlaneIntersect();
    // if (D == 0) {
    //     cout << "NO\n";
    //     return;
    // }
    assert(D != 0);
    Point cent = {0, 0};
    for (int i = 0; i < D; i++) {
        cent.x += (ans[i].x);
        cent.y += (ans[i].y);
    }
    cent.x /= D;
    cent.y /= D;
    ld min_dist = 1e18;
    ld max_dist = 0;
    for (int i = 0; i < n; i++) {
        min_dist = min(min_dist, dist(a[i], cent));
    }
    for (int i = 0; i < m; i++) {
        max_dist = max(max_dist, dist(b[i], cent));
    }
    ld rad = sqrt(min_dist * max_dist);
    assert(max_dist < min_dist);
    cout << fixed << setprecision(12) << rad << '\n' << cent.x << " " << cent.y << '\n';


}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    //    freopen("input.txt", "r", stdin);
    int tst;
    cin >> tst;
    while (tst--) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 14196kb

input:

3
3
3 1
1 3
4 5
3
3 3
4 3
3 4
2
0 0
-1 -1
2
1 1
2 2
4
2 0
0 2
-2 0
0 -2
4
1 0
0 1
-1 0
0 -1

output:

1.618622367761
3.100017119761 3.100017119778
1414213540.452376127243
999999984.999711036682 999999984.999711036682
1.581138828171
0.000000006049 0.000000006049

result:

ok great!!

Test #2:

score: 0
Accepted
time: 0ms
memory: 14144kb

input:

20
4
-10 17
3 12
-10 2
-6 1
3
0 9
-8 12
-7 10
2
-8 -14
-11 0
2
-3 -7
-7 -6
3
-9 -4
-3 -1
-8 -5
2
-4 -7
-1 -11
5
7 -10
0 1
12 -9
11 -11
2 -2
6
6 -1
2 -8
2 -4
4 -9
2 -6
9 -7
3
6 -5
6 -10
-5 -7
5
1 -12
4 -9
4 -10
-1 -7
0 -3
4
15 -10
16 6
16 -3
16 12
2
4 -4
6 -5
5
-11 12
-8 1
2 2
-12 2
-11 2
4
-7 5
-2 6...

output:

7.230736142401
-5.361240738111 9.659193850626
1022701497.567593812943
999999984.999711036682 214285706.107203334570
1280624822.404722213745
799999980.099814534187 -999999984.999711036682
4.635563980159
5.514891844947 -5.365778775922
5.198825529562
0.767372679963 -7.470325940982
1001032520.6888526678...

result:

ok great!!

Test #3:

score: 0
Accepted
time: 536ms
memory: 18504kb

input:

1
50000
1103011 743586
650627 643609
970000 123316
790590 150802
1154937 704849
600584 388352
1261556 503381
-247327 779259
885037 123752
-873238 829673
789997 151071
609342 354879
1112348 175187
1125683 728576
1090245 750934
1015586 780780
1256018 379954
605695 367172
1161310 698906
598628 514319
1...

output:

223749.556070650491
929226.777985148015 456454.217783045780

result:

ok great!!

Test #4:

score: 0
Accepted
time: 533ms
memory: 14204kb

input:

994
43
-200812374 406040944
-192051495 335316832
4248563 336932215
-211869114 185643553
-146681423 169300853
-65919586 154922121
11694954 157988444
-205424679 329992943
17743449 268746156
-217247848 202798048
-181372096 188686449
-32199692 191323755
-152118543 195019764
-154351058 161314920
-1955481...

output:

101354663.103240475059
-100106617.336742967367 285631768.970027923584
182051405.955716013908
172245470.379304647446 -198703656.066985726357
258847728.675997704268
-80596674.350059956312 -243573821.469995319843
207262357.601388722658
-7413102.572208134457 -129482972.755576223135
4150325.467130740639
...

result:

ok great!!

Test #5:

score: 0
Accepted
time: 537ms
memory: 14856kb

input:

1
50000
1369544 944545
1301229 245844
1318404 1020123
784780 1247169
1415143 844892
311849 936426
363283 1014676
1440328 537655
1351887 313176
241560 564001
1175588 1150653
1229610 1110792
1162450 1159027
688965 56588
276494 -541566
262990 821136
585119 94243
400759 228080
253395 786133
253448 78635...

output:

606323.754864548217
842977.105424510897 643339.289173080819

result:

ok great!!

Test #6:

score: 0
Accepted
time: 51ms
memory: 14304kb

input:

2
4239
-200812530 406040789
-192051651 335316677
4248407 336932060
-211869270 185643398
-146681579 169300698
-65919742 154921966
11694798 157988289
-205424835 329992788
17743293 268746001
-217248004 202797893
-181372252 188686294
-32199848 191323600
-152118699 195019609
-154351214 161314765
-1955482...

output:

100636921.922117874026
-99568424.401541918516 284967057.728044092655
168957064.527036517859
-227022081.249944329262 -244047267.432166218758

result:

ok great!!

Test #7:

score: 0
Accepted
time: 185ms
memory: 14408kb

input:

2
21192
-50327 90950
27773 155351
-166012 178205
-104231 282888
-155762 144414
-157420 147825
-12901 105101
1083 264227
-31507 284044
-64528 290284
-65882 89658
-57340 289893
-149405 133659
-21949 100034
-156160 145205
24735 231954
-85767 91547
6196 259238
33935 189086
10330 254628
15629 247758
-495...

output:

100321.215772087467
-66383.468651230316 189978.740719804686
129687.254439084965
-29249.502276737898 160357.144025543472

result:

ok great!!

Test #8:

score: 0
Accepted
time: 418ms
memory: 14360kb

input:

9
4239
-336 551
-317 391
128 395
-362 53
-214 16
-31 -17
145 -10
-347 379
159 241
-374 92
-292 60
45 66
-226 74
-231 -2
-325 582
-370 492
-232 577
-272 81
-326 185
-151 55
-34 -7
-400 454
-114 555
-346 410
-115 534
-238 566
-21 505
159 128
-230 -18
-55 49
-383 566
160 77
112 16
-303 428
-342 406
-34...

output:

233.420281528131
-99.724708937962 284.803990915145
265.200708750914
-279.011829786923 71.471735839837
269.366759955123
-188.027381378432 -182.983726583031
200.602878194588
49.948859942473 100.826086347708
245.163240122814
53.332774866766 104.125764837865
294.456376902363
226.017376980466 -103.865407...

result:

ok great!!

Test #9:

score: 0
Accepted
time: 224ms
memory: 14376kb

input:

3
5
-973 1671
-919 1237
284 1247
-1041 320
-641 220
10865
-79 948
-855 1240
-739 1000
-429 540
-92 905
-590 1050
-361 1332
-505 974
-16 496
-265 1433
-207 1110
-467 491
-64 773
-320 1507
181 1314
-201 370
-852 619
-817 1068
-550 472
-871 778
-791 842
-9 738
-600 1360
211 1054
240 1195
191 844
-311 3...

output:

663.643439658429
-314.968341936957 937.409919179795
921.689547289900
-465.705555544567 -368.968191369819
1368.620816697173
-47.758920735738 470.320958195570

result:

ok great!!

Test #10:

score: 0
Accepted
time: 105ms
memory: 14148kb

input:

1
21192
-676 1337
-647 1104
-2 1109
-713 611
-498 557
-232 510
23 520
-691 1087
43 885
-730 668
-612 621
-121 630
-516 642
-523 531
-659 1382
-725 1250
-525 1375
-582 652
-660 804
-407 614
-237 524
-769 1196
-353 1342
-690 1132
-355 1312
-533 1359
-218 1270
43 720
-521 509
-267 606
-743 1359
44 647
...

output:

333.951041083410
-332.484641629395 949.938806030086

result:

ok great!!

Test #11:

score: 0
Accepted
time: 349ms
memory: 14428kb

input:

2
21192
-973 1671
-919 1237
284 1247
-1041 320
-641 220
-146 131
329 150
-1001 1205
366 829
-1074 425
-854 338
60 355
-675 377
-688 171
-941 1755
-1065 1510
-691 1742
-798 396
-944 679
-471 325
-156 158
-1145 1409
-370 1680
-1000 1290
-375 1625
-706 1712
-120 1547
366 523
-685 129
-211 310
-1098 171...

output:

632.666784013973
-331.911457395308 950.002663454292
928.674977765642
-897.542811621300 835.738053714358

result:

ok great!!

Test #12:

score: 0
Accepted
time: 471ms
memory: 14136kb

input:

96
425
-30498 67405
-1252 91521
-73819 100079
-50684 139280
-69980 87426
-70601 88703
-16483 72704
-11247 132292
-23451 139713
-35816 142049
-36323 66921
-33124 141903
-67600 83398
-19871 70807
-70130 87722
-2390 120207
-43770 67629
-9332 130424
1055 104154
-7784 128698
-5800 126125
-30224 141526
-3...

output:

37567.032162189695
-36511.006615032828 104488.304793455143
15390.968675029497
-16538.696589610008 -66612.369471684768
45827.499761810141
-76725.123299030500 97089.163936343146
90153.626097690227
15612.593145610917 -72045.155463672068
65611.562873868446
29908.082453134019 61637.079636114941
43163.947...

result:

ok great!!

Test #13:

score: 0
Accepted
time: 535ms
memory: 14836kb

input:

1
50000
-830043 -564324
-1364468 119188
-973505 571003
-1189721 468819
-929087 577500
459841 -474773
-409781 -11016
-509749 405733
-1183050 -281796
-880178 579857
-400609 43639
-465794 -151152
-1188547 469788
-1353807 199731
-1284023 364142
-1342951 -48185
-439862 -101180
-1095090 530079
-1041131 55...

output:

478847.174079766031
-881377.666902032215 96222.571714764214

result:

ok great!!

Test #14:

score: 0
Accepted
time: 471ms
memory: 14140kb

input:

96
425
-200812411 406040907
-192051532 335316795
4248526 336932178
-211869151 185643516
-146681460 169300816
-65919623 154922084
11694917 157988407
-205424716 329992906
17743412 268746119
-217247885 202798011
-181372133 188686412
-32199729 191323718
-152118580 195019727
-154351095 161314883
-1955481...

output:

100646531.865103468299
-99240454.817327931523 284788795.620034992695
239462550.708139419556
-79236369.043676972389 254331254.024386167526
55703767.755080021918
66414013.930857062340 -59889846.183362320065
74634895.268483951688
-284020360.641762018204 -246280886.480066120625
68994854.178365096450
180...

result:

ok great!!

Test #15:

score: 0
Accepted
time: 842ms
memory: 14180kb

input:

12504
4
-10 17
3 12
-10 2
-6 1
3
0 9
-8 12
-7 10
2
-8 -14
-11 0
2
-3 -7
-7 -6
3
-9 -4
-3 -1
-8 -5
2
-4 -7
-1 -11
5
7 -10
0 1
12 -9
11 -11
2 -2
6
6 -1
2 -8
2 -4
4 -9
2 -6
9 -7
3
6 -5
6 -10
-5 -7
5
1 -12
4 -9
4 -10
-1 -7
0 -3
4
15 -10
16 6
16 -3
16 12
2
4 -4
6 -5
5
-11 12
-8 1
2 2
-12 2
-11 2
4
-7 5
-...

output:

7.230736142401
-5.361240738111 9.659193850626
1022701497.567593812943
999999984.999711036682 214285706.107203334570
1280624822.404722213745
799999980.099814534187 -999999984.999711036682
4.635563980159
5.514891844947 -5.365778775922
5.198825529562
0.767372679963 -7.470325940982
1001032520.6888526678...

result:

ok great!!

Test #16:

score: 0
Accepted
time: 3ms
memory: 16204kb

input:

5
4
500000100 500000100
500000100 -500000100
-500000100 500000100
-500000100 -500000100
4
500000000 500000000
500000000 -500000000
-500000000 500000000
-500000000 -500000000
2
500000100 500000100
-500000100 -500000100
2
500000000 -500000000
-500000000 500000000
2
500000100 500000100
500000100 -50000...

output:

707106851.897229194641
0.000000006049 0.000000006049
707106851.897229194641
-0.000000010345 0.000000006049
1581138878.922930717468
-999999984.813884496689 0.000000006049
1234897794.441951513290
-715881436.663078308105 -715881436.663078308105
1224744940.793568849564
-999999984.999711036682 0.00000000...

result:

ok great!!

Test #17:

score: 0
Accepted
time: 534ms
memory: 18620kb

input:

1
50000
484122 -611787
439623 -722389
-405108 -145595
-31211 37133
499727 -425767
492181 -375333
489050 -360826
89457 -980473
-239933 -15908
-458884 -730128
15168 36793
254378 -916266
275067 -903059
360672 -830774
459792 -681058
-254338 -23328
213632 -938479
363630 -125403
11547 -990011
-313021 -600...

output:

514014.763967062929
-11781.479321967628 -476520.793069013744

result:

ok great!!

Test #18:

score: 0
Accepted
time: 642ms
memory: 14140kb

input:

4528
10
-6 5
12 20
-34 25
-19 51
-31 17
-32 18
3 8
6 46
-1 51
-9 52
6
-10 6
-8 51
-29 16
0 8
-30 19
11 38
6
-4 -2
-18 7
-24 7
-18 -36
-41 -3
-25 7
12
-30 -34
-4 -4
-4 -25
-8 0
-20 6
-43 -17
-43 -12
-29 5
-42 -20
-33 3
-24 -36
-27 5
15
22 41
37 35
16 40
8 -1
44 22
41 30
36 0
30 39
-1 15
2 30
-1 13
0 ...

output:

23.181450342857
-9.852583800958 28.550043621895
21.555114728368
-22.471180022243 -14.705432610751
22.413824626435
21.579033533615 17.559505318384
20.308655741740
3.987268475442 -23.003690513998
25.150052796746
-13.294746838917 -14.600460048978
27.424237623940
-17.479365504364 -27.661857391134
26.544...

result:

ok great!!

Test #19:

score: 0
Accepted
time: 555ms
memory: 13992kb

input:

1888
22
-15 13
30 51
-83 64
-47 126
-77 44
-78 46
7 21
15 115
-4 126
-23 130
-24 12
-19 130
-74 38
1 18
-78 45
29 96
-37 13
18 112
34 70
20 109
23 105
-15 129
12
-28 129
-15 14
-74 102
-31 129
-46 18
25 101
25 42
15 113
-18 129
-82 65
-82 81
-45 126
6
135 15
5 51
-10 23
136 7
63 77
110 59
36
45 74
1...

output:

58.356365703319
-24.959566015946 71.350123806105
74.228393919045
61.563130812379 2.015993384357
63.383303030839
-52.592546108860 42.147333933915
50.740427859852
-51.139232521099 6.912761992352
71.446548372251
-20.541156465821 -60.977130929288
72.299778031039
36.037366135925 -75.379085204134
70.01711...

result:

ok great!!

Test #20:

score: 0
Accepted
time: 516ms
memory: 14136kb

input:

946
43
-31 27
60 102
-166 128
-94 251
-154 89
-156 93
13 43
29 229
-9 252
-47 260
-49 25
-39 259
-147 76
2 37
-155 90
57 192
-73 27
35 224
67 141
40 218
46 210
-30 258
-58 259
-29 27
-149 206
-64 259
-94 34
51 203
51 82
31 228
-35 259
-166 129
-165 164
-91 253
-163 111
-113 242
-61 26
-77 257
66 162...

output:

116.739331719188
-49.822930556147 142.454303187895
121.567620448243
44.988727402954 -50.668930364826
114.518411941005
-93.146886562534 -141.180408341935
137.034341191194
64.993633798079 -145.914754775288
103.986519071351
97.831976683145 48.620320133434
110.994828109708
-139.741065974477 86.535512446...

result:

ok great!!

Test #21:

score: 0
Accepted
time: 505ms
memory: 14212kb

input:

502
86
-62 54
120 204
-332 257
-188 502
-308 178
-312 186
25 87
58 458
-18 504
-95 519
-98 51
-78 518
-293 153
4 75
-309 180
113 383
-145 55
70 447
134 282
80 436
92 420
-60 516
-116 518
-59 54
-297 411
-127 517
-187 68
101 406
101 164
62 455
-71 517
-332 259
-330 328
-181 505
-325 222
-225 483
-122...

output:

233.486308686317
-99.545426606689 285.015448729723
221.022919510082
-6.873737315000 68.394681699420
247.808871549868
123.215477484396 195.844170590790
297.234733750655
-2.226736984791 -97.249138556459
280.259581947279
-286.982627177750 23.399903585388
259.130497374965
162.826545373317 12.25161753110...

result:

ok great!!

Test #22:

score: 0
Accepted
time: 483ms
memory: 14248kb

input:

191
213
-169 167
299 552
-863 689
-493 1317
-801 487
-811 507
55 251
139 1205
-56 1324
-254 1361
-262 159
-211 1359
-763 422
1 221
-804 491
281 1012
-382 170
170 1175
336 754
194 1147
226 1106
-165 1353
-306 1360
-163 168
-772 1083
-335 1357
-490 202
249 1071
250 451
148 1196
-194 1357
-863 693
-857...

output:

600.638317365548
-265.587771114644 759.946693752875
767.520745115043
-30.053905529303 276.087848937469
638.780051735022
-190.442035394601 196.443784575315
705.700477854476
-45.439449015422 -559.203086296794
514.836113807094
-71.461367794192 -170.631895218826
796.612099274258
285.400936648963 -165.70...

result:

ok great!!

Test #23:

score: 0
Accepted
time: 465ms
memory: 14076kb

input:

93
425
-310 272
599 1021
-1658 1287
-939 2507
-1539 894
-1558 934
125 436
288 2290
-91 2520
-476 2593
-492 257
-392 2588
-1465 769
20 377
-1543 903
563 1914
-724 279
347 2232
670 1414
396 2178
457 2098
-302 2577
-576 2590
-298 274
-1483 2053
-632 2585
-935 341
502 2029
504 824
306 2273
-358 2585
-16...

output:

1167.700669008139
-497.827074026708 1424.818924953389
1447.779412659355
-883.367799038607 839.366621109468
1137.341590037786
1305.264274605026 -1027.660325933927
1347.738354539737
432.861739734799 1290.513188813793
1150.312024399946
-1324.462205868786 -721.555369263080
1462.860994678871
-1195.400279...

result:

ok great!!

Test #24:

score: 0
Accepted
time: 470ms
memory: 14212kb

input:

50
849
-621 544
1197 2043
-3316 2575
-1877 5013
-3077 1788
-3116 1868
250 873
575 4579
-183 5040
-952 5185
-984 514
-785 5176
-2929 1538
39 755
-3086 1807
1126 3827
-1447 558
694 4463
1340 2828
791 4355
914 4195
-604 5153
-1152 5180
-597 548
-2965 4106
-1264 5170
-1869 683
1004 4058
1008 1648
612 45...

output:

2335.470148668177
-995.771442752357 2849.683639485547
2509.386297353992
162.639783920992 -1655.797012258378
2805.191927284346
2329.302220276112 2873.212497810107
2651.201377675927
-1882.847948982970 -329.950108955639
2500.051944814450
1967.656975191709 2509.251741237723
2323.315761978141
2558.837939...

result:

ok great!!

Test #25:

score: 0
Accepted
time: 441ms
memory: 14312kb

input:

18
2120
-1694 1670
2982 5525
-8621 6894
-4922 13162
-8007 4871
-8106 5075
547 2517
1384 12045
-567 13231
-2544 13605
-2625 1592
-2113 13582
-7626 4227
6 2214
-8031 4918
2801 10113
-3816 1705
1691 11746
3351 7545
1938 11470
2255 11059
-1650 13521
-3058 13593
-1631 1680
-7720 10829
-3344 13566
-4899 2...

output:

6006.428778854734
-2655.356503515525 7599.146683370715
6502.485506049841
-3302.447182861238 437.170418000384
7060.440002865051
7864.943685411947 -550.486944319182
6414.384342608032
2230.802948341978 -1584.670226986245
6671.690186435966
6677.710040930675 340.925026985286
6897.357228334122
-840.406010...

result:

ok great!!

Test #26:

score: 0
Accepted
time: 389ms
memory: 14420kb

input:

10
4239
-3109 2721
5981 10217
-16576 12878
-9385 25063
-15383 8944
-15576 9341
1247 4368
2875 22891
-919 25198
-4762 25924
-4920 2571
-3926 25879
-14643 7692
194 3778
-15429 9036
5628 19135
-7235 2791
3470 22311
6699 14144
3951 21774
4568 20974
-3024 25762
-5760 25900
-2988 2741
-14825 20528
-6318 2...

output:

11677.388501688149
-4978.772893041065 14248.421086412121
14310.901100466173
8169.226038654721 -2526.404087628599
10875.836597632422
13838.832028905757 -14707.758628300588
10374.366619061742
4860.672491167502 11537.848729618127
11331.539613792347
-6874.510299715488 -4115.165841461723
13962.1343215314...

result:

ok great!!

Test #27:

score: 0
Accepted
time: 417ms
memory: 16284kb

input:

4
8477
-6219 5443
11962 20435
-33151 25756
-18769 50126
-30765 17889
-31151 18683
2494 8737
5749 45782
-1838 50395
-9525 51848
-9840 5142
-7852 51757
-29285 15385
387 7557
-30858 18073
11255 38269
-14470 5582
6939 44621
13397 28289
7902 43548
9135 41948
-6049 51523
-11520 51800
-5977 5483
-29649 410...

output:

23354.771987560143
-9957.539735371462 28496.822371601229
25826.213319638198
28101.956678165974 -8402.846877250879
20485.099800646374
-29083.424867797170 -5125.998613260537
23052.728987420895
26853.818699851585 -8989.082394774670

result:

ok great!!

Test #28:

score: 0
Accepted
time: 301ms
memory: 14492kb

input:

2
21192
-16940 16701
29820 55259
-86203 68942
-49213 131618
-80066 48711
-81059 50753
5468 25174
13840 120445
-5672 132310
-25442 136046
-26253 15927
-21138 135812
-76260 42271
51 22140
-80305 49184
28001 101123
-38159 17058
16901 117458
33509 75457
19377 114698
22549 110585
-16502 135209
-30571 135...

output:

60064.328698345998
-26553.434262802268 75991.527854325817
56791.746288763119
-65016.139261678654 -71407.096421796567

result:

ok great!!

Test #29:

score: 0
Accepted
time: 235ms
memory: 14476kb

input:

2
20768
-15655 14263
29282 51318
-82218 64468
-46670 124700
-76320 45025
-77274 46988
5879 22406
13925 113963
-4827 125365
-23826 128955
-24605 13520
-19690 128730
-72663 38837
673 19490
-76549 45480
27534 95394
-36047 14607
16867 111092
32827 70728
19246 108440
22294 104487
-15234 128151
-28755 128...

output:

57722.416555065443
-24893.844086209592 71242.053150400316
56864.072181496223
-43389.297399856987 -32830.007648724182

result:

ok great!!

Test #30:

score: 0
Accepted
time: 787ms
memory: 14200kb

input:

8287
5
-30603 68054
-1870 91748
-73166 100156
-50436 138671
-69394 87724
3
-70003 88980
-16835 73262
-11690 131804
4
-110669 -1068
-108648 -1601
-110776 -885
-107908 491
2
-109659 -1735
-108202 922
5
-79717 -73543
-79015 -79400
-82009 -74901
-79858 -73556
-80623 -79230
4
-76992 -74963
-76987 -78008
...

output:

36909.076436087977
-36511.145139334883 104488.335897642595
1590.193597225631
-109352.655822540939 -175.005229410521
1007236834.719631075859
999999984.999711036682 119789621.107446670532
77735.793997532048
61364.933129669815 97680.484937989386
79386.111779929037
51792.269628708716 74527.939102575096
...

result:

ok great!!

Test #31:

score: 0
Accepted
time: 530ms
memory: 14252kb

input:

947
43
-30594 67995
-1814 91727
-73225 100149
-50458 138726
-69448 87697
-70059 88954
-16802 73210
-11649 131849
-23659 139152
-35827 141452
-36326 67519
-33178 141307
-67105 83734
-20136 71343
-69594 87989
-2933 119957
-43654 68215
-9765 130011
457 104159
-8241 128312
-6289 125781
-30324 140937
-38...

output:

36968.893866666622
-36510.793780949025 104488.241429523390
47993.477115378926
32834.749117159474 -37070.033801445737
16336.589402402438
-4884.873896977398 82217.782376293500
68944.233356398516
-18993.950130498291 96555.516290513304
56019.944474762451
94751.403840644576 -41834.120846163634
51156.1611...

result:

ok great!!

Test #32:

score: 0
Accepted
time: 438ms
memory: 16472kb

input:

9
4239
-29541 61501
4361 89457
-79758 99377
-52940 144819
-75309 84709
-76029 86190
-13295 67644
-7225 136718
-21371 145320
-35705 148029
-36293 60941
-32585 147859
-72549 80041
-17222 65445
-75482 85053
3042 122709
-44925 61761
-5005 134553
7036 104101
-3211 132552
-910 129570
-29223 147423
-39424 ...

output:

43547.756832061255
-36510.967947462705 104488.352452802210
52940.685593472343
75769.965022619872 78569.104726227757
23062.017381267411
-10860.948660814163 -7895.104790366358
99935.936530735693
-66079.212286319351 98379.800249875610
80066.215806841079
-35229.535074631072 100771.518229282228
92154.379...

result:

ok great!!

Test #33:

score: 0
Accepted
time: 786ms
memory: 14184kb

input:

8287
5
-139113042 309370457
-8528956 417049660
-332538665 455261933
-229239155 630291568
-315399168 398763535
3
-318172196 404467105
-76536064 333032121
-53154543 599089955
4
-503000934 -4828158
-493874781 -7235778
-503484606 -4001422
-490532101 2209963
2
-498444243 -7843465
-491859564 4163536
5
-36...

output:

167738789.733769387007
-165958942.637467801571 474947040.476529121399
7183279.381581946276
-497056404.269447803497 -795529.988435575855
1369298581.175340652466
999999984.999711036682 -184762402.495129406452
353331110.620865106583
278931037.628892838955 444001709.006431937218
360832413.926999032497
2...

result:

ok great!!

Test #34:

score: 0
Accepted
time: 534ms
memory: 14192kb

input:

999
43
-139113033 309370398
-8528900 417049639
-332538724 455261926
-229239177 630291624
-315399221 398763508
-318172281 404467065
-76536013 333032041
-53154479 599090025
-107646089 632223672
-162856762 642657219
-165120509 307210270
-150838107 642002983
-304771378 380779980
-91663936 324558945
-316...

output:

167738849.405570447445
-165958942.515278041363 474947041.077655553818
217898147.538780361414
149248404.729882419109 -168498752.540450364351
73869142.956460952759
-22203206.253140889108 373717543.594637572765
313212733.845413506031
-86336518.408474862576 438888520.015650987625
254412737.876160830259
...

result:

ok great!!

Test #35:

score: 0
Accepted
time: 450ms
memory: 14220kb

input:

93
425
-139112937 309369808
-8528338 417049433
-332539318 455261856
-229239403 630292178
-315399754 398763236
-318172824 404466814
-76535694 333031535
-53154077 599090468
-107645881 632224233
-162856751 642657817
-165120506 307209672
-150838053 642003579
-304771873 380779645
-91663671 324558409
-316...

output:

167739447.630764871836
-165958942.503617972136 474947041.058075070381
98609005.984405457973
257338799.900213539600 -75175806.711013495922
203030958.038863122463
-165231043.649419307709 -463429705.610472083092
176827051.800668686628
87468801.618980675936 -210522102.656149923801
369783466.787159383297...

result:

ok great!!

Test #36:

score: 0
Accepted
time: 342ms
memory: 14348kb

input:

7
4239
-139111980 309363904
-8522725 417047368
-332545258 455261154
-229241659 630297716
-315405082 398760520
-318178251 404464301
-76532506 333026475
-53150055 599094894
-107643801 632229840
-162856640 642663797
-165120476 307203691
-150837514 642009535
-304776822 380776287
-91661022 324553046
-316...

output:

167745428.317561358213
-165958942.482524752617 474947041.062035381794
349672872.909854173660
478175420.162275791168 -362159983.597869515419
497449051.533827781677
293946086.777696073055 -208978647.608035683632
139846212.045629382133
34625767.091119892895 180676747.622226834297
283344904.382969617844...

result:

ok great!!

Test #37:

score: 0
Accepted
time: 169ms
memory: 14488kb

input:

1
21192
-139107726 309337666
-8497778 417038194
-332571655 455258035
-229251687 630322333
-315428763 398748448
-318202372 404453132
-76518335 333003987
-53132179 599114566
-107634561 632254763
-162856149 642690373
-165120343 307177110
-150835117 642036008
-304798819 380761365
-91649249 324529215
-31...

output:

167772009.219209253788
-165958942.486264348030 474947041.060879826546

result:

ok great!!

Test #38:

score: 0
Accepted
time: 318ms
memory: 14092kb

input:

992
43
-139113033 309370398
-8528900 417049639
-332538724 455261926
-229239177 630291624
-315399221 398763508
-318172281 404467065
-76536013 333032041
-53154479 599090025
-107646089 632223672
-162856762 642657219
-165120509 307210270
-150838107 642002983
-304771378 380779980
-91663936 324558945
-316...

output:

167738849.346705406904
-165958942.536014199257 474947041.079746067524
28806128.479185361415
-342162136.525039911270 -107368053.321265310049
21998928.787301894277
-213524081.478559792042 185796087.255231499672
200302907.211140215397
195982132.289626181126 212792705.496961832047
488878594.176773428917...

result:

ok great!!

Test #39:

score: 0
Accepted
time: 249ms
memory: 14196kb

input:

100
425
-139112937 309369808
-8528338 417049433
-332539318 455261856
-229239403 630292178
-315399754 398763236
-318172824 404466814
-76535694 333031535
-53154077 599090468
-107645881 632224233
-162856751 642657817
-165120506 307209672
-150838053 642003579
-304771873 380779645
-91663671 324558409
-31...

output:

167739447.388567537069
-165958942.408792793751 474947041.055627584457
263917896.776960402727
-267499012.064782828093 62405704.126030810177
149286520.354629278183
402880502.885696649551 -219639568.881241261959
300768000.139936327934
-319324752.063645720482 130145382.408018246293
388765108.30608499050...

result:

ok great!!

Test #40:

score: 0
Accepted
time: 223ms
memory: 14116kb

input:

8
4239
-139111980 309363904
-8522725 417047368
-332545258 455261154
-229241659 630297716
-315405082 398760520
-318178251 404464301
-76532506 333026475
-53150055 599094894
-107643801 632229840
-162856640 642663797
-165120476 307203691
-150837514 642009535
-304776822 380776287
-91661022 324553046
-316...

output:

167745427.922256231308
-165958942.543577492237 474947041.133099079132
41569061.180344164371
403464089.242267370224 -176133769.632579237223
310025801.177348732948
364792229.562423944473 -141252429.766268283129
452823948.708571076393
60876201.898798510432 -496813122.170985281467
232034802.383608162403...

result:

ok great!!

Test #41:

score: 0
Accepted
time: 106ms
memory: 14432kb

input:

1
21192
-139107726 309337666
-8497778 417038194
-332571655 455258035
-229251687 630322333
-315428763 398748448
-318202372 404453132
-76518335 333003987
-53132179 599114566
-107634561 632254763
-162856149 642690373
-165120343 307177110
-150835117 642036008
-304798819 380761365
-91649249 324529215
-31...

output:

167772008.704678028822
-165958942.417291074991 474947040.913500070572

result:

ok great!!

Test #42:

score: 0
Accepted
time: 310ms
memory: 14128kb

input:

962
43
-45 58
59 143
-200 174
-117 314
-186 129
-188 133
5 76
24 289
-19 316
-63 324
-65 56
-54 323
-177 115
-7 70
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55 246
-93 58
31 283
68 188
36 277
43 267
-44 322
-76 324
-43 58
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-82 323
-117 66
48 260
49 121
26 287
-50 323
-200 175
-198 215
-113 316
-196 154
-138 303
-79 57
-98 3...

output:

133.046476245628
-66.634864411161 189.685965653725
105.194732769049
-136.343978319188 -42.289461386318
106.570908653135
-182.122684292531 -174.793330201930
139.956144174741
78.312856307723 85.065422988889
197.665382033677
-26.910325688073 -121.254706849489
169.735300944548
167.827215246665 -31.78822...

result:

ok great!!

Test #43:

score: 0
Accepted
time: 248ms
memory: 14164kb

input:

103
425
-450 581
590 1438
-1991 1743
-1168 3137
-1854 1293
-1876 1338
49 769
235 2889
-199 3152
-639 3236
-657 564
-543 3230
-1770 1150
-72 702
-1859 1303
550 2459
-922 589
303 2822
672 1887
358 2761
428 2669
-440 3217
-754 3233
-436 583
-1790 2618
-817 3227
-1163 660
480 2591
482 1213
256 2869
-504...

output:

1335.169336019128
-664.075844805951 1899.833250850094
1217.571881978831
-381.000567011151 773.205441291054
1503.449401442718
-1000.173433551161 -1553.341712438693
1722.043110071242
282.941427934669 -509.062706184159
1134.834152826234
-1532.752675935678 -517.780140155919
1367.901863635707
-406.548801...

result:

ok great!!

Test #44:

score: 0
Accepted
time: 215ms
memory: 14312kb

input:

9
4239
-4500 5815
5896 14388
-19901 17430
-11677 31366
-18537 12932
-18758 13386
482 7699
2343 28882
-1995 31520
-6391 32351
-6571 5643
-5434 32299
-17691 11500
-723 7024
-18590 13037
5492 24586
-9219 5894
3024 28218
6716 18879
3574 27604
4280 26690
-4403 32165
-7532 32323
-4362 5838
-17899 26179
-8...

output:

13354.157598212585
-6637.816010141860 18998.028841726424
11644.735815157250
-8324.222044324946 3922.012302212038
11815.476635648392
18656.885949119405 9304.565672850615
12496.970985646143
-16886.381883088841 -12989.188311410697
19298.611433391521
-3186.887721458545 -15982.526637661860
12636.74708435...

result:

ok great!!

Test #45:

score: 0
Accepted
time: 322ms
memory: 13992kb

input:

996
5
-139113033 309370398
-8528900 417049639
-332538724 455261926
-229239177 630291624
-315399221 398763508
23
-318172250 404467080
-76536032 333032071
-53154502 599089999
-107646101 632223639
-162856764 642657185
-165120510 307210304
-150838111 642002949
-304771349 380780000
-91663952 324558976
-3...

output:

167738849.651903063059
-165958942.373949050903 474947040.987011373043
366190958.773598492146
-379218366.332999944687 -481016724.831849157810
73386854.878631874919
469581988.242570340633 -416018930.154940545559
244245852.819891244173
275437051.936936974525 -113358073.474809542298
163987874.0124025642...

result:

ok great!!

Test #46:

score: 0
Accepted
time: 254ms
memory: 14104kb

input:

101
5
-139112937 309369808
-8528338 417049433
-332539318 455261856
-229239403 630292178
-315399754 398763236
219
-318172792 404466829
-76535713 333031565
-53154100 599090442
-107645893 632224200
-162856753 642657783
-165120507 307209706
-150838057 642003544
-304771844 380779665
-91663687 324558440
-...

output:

167739448.167582869530
-165958942.084578305483 474947041.455800950527
463976432.584239125252
-164565262.041633844376 -389363620.538803696632
242720631.393017143011
417846132.768173813820 -129022697.152493655682
137186733.830348521471
363911683.116244316101 132942711.849665150046
78736081.41156393289...

result:

ok great!!

Test #47:

score: 0
Accepted
time: 241ms
memory: 14296kb

input:

10
5
-139111980 309363904
-8522725 417047368
-332545258 455261154
-229241659 630297716
-315405082 398760520
2174
-318178220 404464316
-76532525 333026505
-53150078 599094868
-107643814 632229808
-162856642 642663763
-165120477 307203726
-150837518 642009501
-304776793 380776307
-91661038 324553078
-...

output:

167745428.787839114666
-165958942.290069758892 474947040.710676908493
277748327.689369559288
-147481327.182693839073 -372634689.625504612923
141798572.332322388887
-353351881.712701082230 332273859.206391155720
159364281.724743276834
-327674220.009203493595 368721153.918680489063
202517943.520811408...

result:

ok great!!

Test #48:

score: 0
Accepted
time: 133ms
memory: 14388kb

input:

2
5
-139107726 309337666
-8497778 417038194
-332571655 455258035
-229251687 630322333
-315428763 398748448
10865
-318202340 404453147
-76518354 333004016
-53132202 599114541
-107634574 632254731
-162856150 642690339
-165120344 307177145
-150835122 642035973
-304798790 380761385
-91649265 324529246
-...

output:

167772009.434027642012
-165958942.460275948048 474947041.103864669800
150270559.745428800583
36531965.488852657378 163866158.341316342354

result:

ok great!!

Test #49:

score: 0
Accepted
time: 314ms
memory: 14124kb

input:

966
5
-45 58
59 143
-200 174
-117 314
-186 129
23
-187 134
4 77
23 288
-20 315
-64 323
-66 57
-55 322
-176 116
-8 71
-185 131
54 245
-92 59
30 282
67 189
35 276
42 266
-45 321
-75 323
-44 59
-178 261
-81 322
-116 67
47 259
3
-323 -161
-212 -29
-319 -239
35
-244 -47
-167 -364
-191 -24
19 -165
-283 -8...

output:

133.669801129035
-66.521036482683 190.072031364089
173.875320289788
-151.195141539290 -192.241234443352
104.386059678416
-166.305642606065 -141.377979247232
148.231002420167
-177.950660542495 171.373993751230
143.590172762371
90.393111992760 -188.963447665155
144.443144296008
-0.260136329740 -14.305...

result:

ok great!!

Test #50:

score: 0
Accepted
time: 250ms
memory: 14212kb

input:

101
5
-450 581
590 1438
-1991 1743
-1168 3137
-1854 1293
219
-1875 1339
48 770
234 2888
-200 3151
-640 3235
-658 565
-544 3229
-1769 1151
-73 703
-1858 1304
549 2458
-921 590
302 2821
671 1888
357 2760
427 2668
-441 3216
-753 3232
-437 584
-1789 2617
-816 3226
-1162 661
479 2590
481 1214
255 2868
-5...

output:

1335.698411539128
-663.827368522830 1899.836854000689
1446.231012021853
-1557.227033705369 1711.807025061673
1479.611417672938
-1124.684613289151 -1111.752748472508
1160.331471842519
1616.486754459111 -1883.105994834790
1882.440028458363
1985.971258261250 362.985444929389
1134.932241392925
-1401.252...

result:

ok great!!

Test #51:

score: 0
Accepted
time: 226ms
memory: 14060kb

input:

7
5
-4500 5815
5896 14388
-19901 17430
-11677 31366
-18537 12932
2174
-18757 13387
481 7700
2342 28881
-1996 31519
-6392 32350
-6572 5644
-5435 32298
-17690 11501
-724 7025
-18589 13038
5491 24585
-9218 5895
3023 28217
6715 18880
3573 27603
4279 26689
-4404 32164
-7531 32322
-4363 5839
-17898 26178
...

output:

13354.935363938321
-6638.300997697566 18997.931568947504
10404.667482775618
-15474.344197198294 -950.159697003326
18088.193734515586
-1302.206664609875 1547.021578833131
12957.755682365967
-11134.553953772047 -12475.582642577445
12465.457969734007
-11184.339593045101 -5307.975430545439
13854.0104002...

result:

ok great!!

Test #52:

score: 0
Accepted
time: 191ms
memory: 14420kb

input:

2
5
-50327 90950
27773 155351
-166012 178205
-104231 282888
-155762 144414
10865
-157419 147826
-12902 105102
1082 264226
-31508 284043
-64529 290283
-65883 89659
-57341 289891
-149404 133660
-21950 100035
-156159 145206
24734 231953
-85766 91548
6195 259237
33934 189087
10329 254627
15628 247757
-4...

output:

100321.940112587065
-66383.303340094368 189978.925475073280
54568.667520941308
116428.347415009484 67744.406265633661

result:

ok great!!

Test #53:

score: 0
Accepted
time: 765ms
memory: 14192kb

input:

8308
5
-3 2
6 10
-17 12
-10 26
-16 8
3
-15 10
1 5
2 22
4
-24 -6
-10 -10
-24 -5
-5 5
2
-16 -9
-8 6
5
-12 0
-9 -21
-20 -4
-13 0
-15 -20
4
-3 -6
-3 -15
-4 -4
-10 -1
6
1 25
7 -1
5 27
22 16
-2 23
-5 17
8
21 14
8 26
17 23
6 26
1 3
21 15
19 20
16 3
9
-6 5
18 19
21 12
21 6
-4 1
1 -3
21 14
16 -1
13 -3
2
16 1...

output:

11.399593420638
-5.248126987945 13.896808402074
9.865498789282
-14.400084506507 -0.219956092414
1010152539.087008595467
999999984.999711036682 142857131.714350253344
13.326989334611
8.458096107186 13.402166967149
13.516348366070
6.970652999205 10.335344498609
13.340543386360
-11.587704727588 -14.488...

result:

ok great!!

Test #54:

score: 0
Accepted
time: 536ms
memory: 14120kb

input:

956
43
-27 41
-25 28
13 28
-29 -1
-16 -5
-1 -7
14 -7
-28 27
16 15
-30 2
-23 -1
6 0
-17 0
-18 -6
-26 44
-30 36
-18 44
-21 1
-26 10
-11 -1
-32 33
-8 42
-28 29
-8 40
-18 43
16 5
-18 -7
-3 -2
-31 43
16 1
12 -5
-24 31
-27 29
-28 5
19 26
18 -1
3 -7
12 10
-32 21
12 43
-8 -3
15 -5
1 -2
23
-14 21
-11 35
-10 ...

output:

19.658759979693
-6.967627628528 18.825836768080
20.413334226816
-1.503641192152 5.957829364114
20.058124841260
-8.226973473897 -3.078923908753
20.105329383339
9.626934092674 4.092104638929
19.919649209486
-2.003177747828 -5.292624590376
20.766643016193
7.349733105306 3.609921745462
17.162414642377
1...

result:

ok great!!

Test #55:

score: 0
Accepted
time: 538ms
memory: 18480kb

input:

1
50000
-188974988 196255668
-206473841 657957641
-724203935 198709341
-368631094 82081268
-445459682 763530309
-128303506 -365850425
-673902510 148464674
-225403565 676124403
-763352317 258488646
-160867477 235404685
-373752064 80794681
-240901517 82584640
-749392258 233949229
-800935049 443516700
...

output:

346341075.578984916210
-455581587.876146912575 417333672.941154897213

result:

ok great!!

Test #56:

score: 0
Accepted
time: 539ms
memory: 14860kb

input:

1
50000
49544 -81804
18188 -89705
86899 64349
38784 -33146
92045 -11410
-20979 -45532
72812 -19529
-98110 79689
-36588 88444
59884 -64804
50108 -99453
7990 -89202
-33660 83792
5587 70762
-134796 7497
-123255 56043
-69302 -57422
67956 69254
-131249 39725
34897 22114
-31387 82811
-52951 -90255
-117140...

output:

73575.932961506973
-61684.172994975597 15760.423374947872

result:

ok great!!

Test #57:

score: 0
Accepted
time: 538ms
memory: 14860kb

input:

1
50000
24171706 -20380461
27775749 -13997058
26974208 -9833115
10989067 -12508760
16423885 -5557872
12074912 -9225236
12341046 -8796869
12332538 -8809717
27587272 -15308252
12518857 -8539401
11727254 -17023536
11031224 -12190717
13260543 -19269856
19942536 -21866006
13021470 -19008000
25088721 -196...

output:

8428671.801694652066
19364303.747914753854 -13457106.054924339056

result:

ok great!!

Test #58:

score: 0
Accepted
time: 535ms
memory: 15016kb

input:

1
50000
38469 41539
-7858 -3706
-9185 -25569
-5954 2584
99281 -56793
850 15963
112722 -13657
-9594 -16527
19046 33581
112591 -12172
95419 -61134
-9235 -11438
76487 37706
86235 32267
89067 30209
-4506 6214
68387 -77211
-9218 -25283
44393 -79114
3524 -56201
98347 -57922
79415 36313
112788 -14629
58401...

output:

61256.908467361616
51639.421375812992 -18286.461775893004

result:

ok great!!

Test #59:

score: 0
Accepted
time: 535ms
memory: 14920kb

input:

1
50000
386196803 430673630
-264524429 221561401
-412565836 -128479606
-163375564 140009704
-265134682 225720122
-389180698 -134542224
204641292 404521399
-190328917 142497909
184696728 -494359515
-262500264 212314147
-101676417 -443190074
-453861869 483319404
81721177 -364224698
497236769 -13351657...

output:

97954682.525195285678
-167934089.104939132929 237859249.663095593452

result:

ok great!!

Test #60:

score: 0
Accepted
time: 532ms
memory: 14720kb

input:

1
50000
-90990 156695
-174427 50120
-22051 28919
37376 -60759
-90336 156672
98126 -19481
-63435 151125
-107951 -9908
-174915 51935
-176747 84366
-12923 95941
-70933 -8021
-110982 -9325
-57366 148509
-55540 -2013
-18919 111101
-32795 130654
-113541 -8742
-10303 62506
-169542 37019
-23083 27279
-36511...

output:

83937.787342460011
-93609.113711779632 72796.843859080240

result:

ok great!!

Test #61:

score: 0
Accepted
time: 530ms
memory: 17356kb

input:

1
50000
-18712 -8365
-72462 -34547
-70184 -121537
-11980 -144632
-34238 -143170
-8585 32789
-46095 -139226
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45523 -99921
41102 -109666
-5946 -9565
43311 -105301
-50292 -16113
-63759 -25342
87147 -73231
49425 -81625
18461 -133972
-9824 -144384
-4315 73516
-86218 -66404
-4778 -143530
3341...

output:

68297.898510098748
-18694.177545265869 -76663.771846723801

result:

ok great!!

Test #62:

score: 0
Accepted
time: 532ms
memory: 18548kb

input:

1
50000
-242298956 490004446
-156122046 604170423
51619141 658747009
230268499 222845657
9996181 -493705584
-219937008 533785710
-261905614 378379747
-171487177 184374954
-189901299 573086498
267443529 289885117
-221823120 530747588
-216159122 539617886
225411886 559090996
-51361152 654293230
-19702...

output:

273815357.333766937256
11748789.552126288414 387847175.858785867691

result:

ok great!!

Test #63:

score: 0
Accepted
time: 535ms
memory: 14836kb

input:

1
50000
-53772 -41067
-93468 30914
-1524 -40052
15130 68371
-90262 42686
-20734 -45497
-44568 -44078
36298 27811
-55538 -40311
-62605 -36631
-79269 61603
-82522 -18089
-36401 84819
14422 69000
27129 53938
-52767 80733
-45306 83154
35899 30526
-13397 -44159
-54927 -40579
-72325 68765
-89369 44939
-41...

output:

65626.270862819249
-28817.593956920471 19631.202554325384

result:

ok great!!

Test #64:

score: 0
Accepted
time: 533ms
memory: 15128kb

input:

1
50000
-5402980 -12446869
-8115040 -14090978
-9992477 -13192819
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8209118 -15292055
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output:

2777277.807155543473
-7941876.124016362242 -11317711.192422049120

result:

ok great!!

Test #65:

score: 0
Accepted
time: 524ms
memory: 15024kb

input:

1
50000
80493 27403
-91978 134405
7363 111167
63071 60682
15450 27868
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96916 58537
8675 106173
609 125660
-6...

output:

59102.511121035270
-49119.256567791774 93664.755947409692

result:

ok great!!

Test #66:

score: 0
Accepted
time: 534ms
memory: 16852kb

input:

1
50000
443476927 540172324
563637833 39143490
599589174 54725222
724845910 364702359
387524249 525926638
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560922412 529301877
721094237 375316033
336677615 67522110
239391230 381783915
656684849 95548840
724642532 2022047...

output:

258726641.856402039528
478969992.586857020855 283761154.782896637917

result:

ok great!!

Test #67:

score: 0
Accepted
time: 536ms
memory: 17244kb

input:

1
50000
69225 106744
-79059 -19043
-34855 46928
-29472 2
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118046 57021
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121589 23290
-29014 -10...

output:

79129.025037147527
42908.593437815718 32077.091725834682

result:

ok great!!

Test #68:

score: 0
Accepted
time: 531ms
memory: 14904kb

input:

1
50000
50761 455
-50918 -45071
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27367 -87254
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21517 20520
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62593 -33907
60408 -...

output:

57228.817207786196
5337.150141614706 -34404.017602575914

result:

ok great!!

Test #69:

score: 0
Accepted
time: 532ms
memory: 18332kb

input:

1
50000
-79235 107227
97036 -87098
-56106 -6510
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82100 29592
81615 99510
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31389 -19739
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61569 -61986
-94489 -2185
-73289 -9...

output:

89610.781859020775
-700.221565963445 63977.983532339160

result:

ok great!!

Test #70:

score: 0
Accepted
time: 537ms
memory: 17316kb

input:

1
50000
-293685363 18679066
-441727508 32523417
-701837411 311002811
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90218735 -108548274
1308...

output:

430663870.817995727062
-293843163.584049701691 449558283.913617789745

result:

ok great!!

Test #71:

score: 0
Accepted
time: 547ms
memory: 14924kb

input:

1
50000
-27930 -87971
67849 62893
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73261 39155
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output:

80962.390759573536
-7525.209031011122 33222.109199531682

result:

ok great!!

Test #72:

score: 0
Accepted
time: 532ms
memory: 18604kb

input:

1
50000
-52654129 -518028022
436515423 -320195020
370219807 -459191724
193441192 51245141
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276446797 20636416
30395...

output:

315936787.626323401928
126657305.060193762183 -257714124.906194478273

result:

ok great!!

Test #73:

score: 0
Accepted
time: 536ms
memory: 14968kb

input:

1
50000
-19730 -146057
31542 -71159
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53698 31725
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31384 -72457
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27173 -2...

output:

96303.725035722586
-65083.620482999635 -60011.928222866802

result:

ok great!!

Test #74:

score: 0
Accepted
time: 536ms
memory: 18248kb

input:

1
50000
222229598 -274046578
196370668 -276608879
224614296 -280459698
222895488 -275140480
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199251676 -272151476
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224516564 -284709410
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214727210 -268295372
221143012 -291877913...

output:

14591466.919301019982
209985971.996633440256 -282249265.438006937504

result:

ok great!!

Test #75:

score: 0
Accepted
time: 528ms
memory: 17336kb

input:

1
50000
5276 70767
88376 -103569
-81634 98382
62241 73088
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20300 74740
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102209 51616
124953 21469
1292...

output:

96148.694896016445
37537.517683519145 -20828.612419279681

result:

ok great!!

Test #76:

score: 0
Accepted
time: 539ms
memory: 18740kb

input:

1
50000
-29706 -50559
-118185 -45311
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-74859 -30509
-...

output:

64572.014090604192
-76778.553346670553 -95699.189420970710

result:

ok great!!

Test #77:

score: 0
Accepted
time: 537ms
memory: 17228kb

input:

1
50000
-7967 -111303
-139902 -11714
-47038 40163
301 -103870
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-102152 3064...

output:

84611.345167848107
-60847.906033902116 -44171.781662922163

result:

ok great!!

Test #78:

score: 0
Accepted
time: 537ms
memory: 18432kb

input:

1
50000
86410 31829
-26111 -112879
40828 47734
-26025 -112955
104794 15130
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-36344 14624
97100 -110963
...

output:

90904.838683806942
34435.963798972167 -43857.774661419549

result:

ok great!!

Test #79:

score: 0
Accepted
time: 538ms
memory: 17240kb

input:

1
50000
172952784 149633395
-119974354 161762599
-446439234 276903178
-137946972 122411913
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-179616357 100203503
-195302975 239662758
-120859512 183813565
-119592072 166250629
-130946017 208531365...

output:

69867286.486053690314
-190058756.826733469963 169992556.532144278288

result:

ok great!!

Test #80:

score: 0
Accepted
time: 536ms
memory: 14968kb

input:

1
50000
-115373 -86431
-139397 -62119
-74020 9702
-127405 -693
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-48778 -10060
-1...

output:

51879.063235594629
-92151.663584409369 -39459.019320190499

result:

ok great!!

Test #81:

score: 0
Accepted
time: 538ms
memory: 18400kb

input:

1
50000
1185570 1230202
10732044 6644909
12705502 9961776
-15079088 13135410
-11154031 5504251
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16504999 -16874332
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-11924020 6584959
13427602 12090819
7000258 -3479802
-10810711 26235374
-15302177 15359124...

output:

14449022.763276599348
-712637.370441687759 15699739.045778907835

result:

ok great!!