QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#686782#9532. 长野原龙势流星群yuanruiqi100 ✓272ms69804kbC++141.9kb2024-10-29 15:39:592024-10-29 15:39:59

Judging History

你现在查看的是最新测评结果

  • [2024-10-29 15:39:59]
  • 评测
  • 测评结果:100
  • 用时:272ms
  • 内存:69804kb
  • [2024-10-29 15:39:59]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using ld = long double;
constexpr int maxn = 500000 + 10;
constexpr ld eps = 1e-10;
struct node
{
    int t, v, d, l, r;
    ld x, s, k;
} t[maxn << 2];
int cnt;
void push(int u)
{
    if (!u) return;
    t[u].s = t[t[u].l].s + t[t[u].r].s + t[u].x;
    t[u].t = t[t[u].l].t + t[u].v + t[t[u].r].t;
}
void pop(int o, int &x, int &y)
{
    if (t[o].l) pop(t[o].l, x, t[y = o].l);
    else x = o, y = t[o].r, t[x].l = t[x].r = 0;
    push(o);
}
void spl(int o, ld p, int &x, int &y)
{
    if (!o) return x = y = 0, void();
    if (t[o].k >= p) spl(t[o].r, p, t[x = o].r, y);
    else spl(t[o].l, p, x, t[y = o].l);
    push(o);
}
int mer(int u, int v)
{
    if (!u || !v) return u | v;
    if (t[u].d < t[v].d) swap(u, v);
    int x, y;
    spl(v, t[u].k, x, y);
    t[u].l = mer(t[u].l, x);
    t[u].r = mer(t[u].r, y);
    push(u);
    return u;
}
vector<int> g[maxn];
i64 w[maxn];
mt19937 rng(19491001);
ld ans[maxn];
int dfs(int u)
{
    int x = 0;
    for (int v : g[u])
    {
        int y = dfs(v);
        x = mer(x, y);
    }
    ld k = w[u];
    int v = 1;
    for (; x;)
    {
        int a, b;
        pop(x, a, b);
        if (t[a].k < k / v - eps)
        {
            x = mer(a, b);
            break;
        }
        x = b;
        k += t[a].x;
        v += t[a].v;
    }
    k /= v;
    int p = ++cnt;
    t[p].x = t[p].s = k * v;
    t[p].k = k;
    t[p].t = t[p].v = v;
    t[p].d = rng();
    x = mer(p, x);
    ans[u] = k;
    return x;
}
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    for (int i=2;i<=n;++i)
    {
        int x;
        cin >> x;
        g[x].emplace_back(i);
    }
    for (int i=1;i<=n;++i) cin >> w[i];
    dfs(1);
    for (int i=1;i<=n;++i) cout << fixed << setprecision(15) << ans[i] << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 3ms
memory: 20340kb

input:

2000
1 2 2 4 5 2 3 6 4 2 7 2 8 14 8 12 1 14 4 14 8 18 9 2 7 22 20 22 14 29 28 16 6 21 23 6 21 14 13 9 1 4 18 13 2 39 21 33 18 20 38 27 27 1 49 5 51 3 31 24 10 42 2 44 13 9 35 66 27 60 67 59 29 40 53 2 33 43 26 43 62 16 78 45 14 10 73 69 41 35 25 26 2 70 54 1 54 48 5 36 44 28 90 29 51 51 93 82 95 45 ...

output:

883838885.923076923063491
887174926.000000000000000
881025216.709677419334184
912609654.666666666686069
872318573.500000000000000
831791515.153846153873019
867874850.000000000000000
892392319.166666666686069
836427216.000000000000000
869519853.799999999988358
693335785.375000000000000
925100890.0000...

result:

ok 2000 numbers

Test #2:

score: 10
Accepted
time: 0ms
memory: 18296kb

input:

2000
1 1 1 1 1 6 6 6 8 1 7 6 9 4 11 10 17 1 9 20 4 2 7 22 13 21 5 26 19 20 9 8 24 22 32 24 24 8 30 7 22 22 7 14 4 18 30 38 9 45 21 38 53 16 39 6 44 12 10 34 14 17 54 14 65 55 17 21 40 9 27 65 54 53 61 30 3 52 57 49 31 34 16 32 11 85 81 43 36 43 3 45 42 93 83 37 86 77 2 23 41 77 19 18 51 91 68 22 85 ...

output:

794920955.219999999972060
713825019.500000000000000
734115991.799999999988358
800547209.783783783786930
734508347.000000000000000
760946433.375000000000000
750093634.897959183668718
735976830.111111111124046
765501191.941176470601931
747665901.952380952367093
816306482.500000000000000
741938108.1111...

result:

ok 2000 numbers

Test #3:

score: 10
Accepted
time: 6ms
memory: 20344kb

input:

2000
1 1 2 3 3 3 3 4 2 8 4 6 2 10 1 8 8 13 1 19 15 18 8 17 20 16 16 21 11 28 14 18 31 4 30 24 17 10 22 26 2 34 14 13 13 37 43 3 3 38 9 4 29 43 29 46 7 55 9 23 23 49 29 12 45 25 67 59 45 24 5 55 52 73 51 28 25 26 49 78 62 10 18 1 35 73 35 16 52 62 5 89 4 49 12 46 55 14 18 68 64 25 21 88 25 19 82 46 4...

output:

755177543.516129032243043
762060513.294117647048552
754126791.262500000011642
777333185.549999999988358
758703127.500000000000000
756576527.222222222248092
764146306.785714285739232
750062914.140000000013970
710728919.812500000000000
770351278.750000000000000
769495170.000000000000000
776873566.5714...

result:

ok 2000 numbers

Test #4:

score: 10
Accepted
time: 0ms
memory: 20352kb

input:

2000
1 1 3 4 1 1 4 3 3 2 1 3 11 3 1 7 17 9 7 18 4 5 16 10 16 14 12 6 16 22 28 32 27 4 4 19 36 38 12 31 28 18 30 44 35 43 44 29 10 29 7 18 18 35 23 42 12 24 23 2 42 59 8 24 14 49 16 62 38 46 7 34 41 41 10 20 53 71 18 38 63 54 26 76 39 84 28 36 9 53 26 19 39 34 26 49 86 10 64 34 74 43 19 70 97 35 92 4...

output:

914894038.533333333325572
918141155.833333333313931
911927555.000000000000000
870659540.153846153873019
777969562.235294117650483
778920774.555555555562023
876560725.000000000000000
974455318.000000000000000
858643515.250000000000000
835985850.619047619053163
963419161.250000000000000
868819817.0000...

result:

ok 2000 numbers

Test #5:

score: 10
Accepted
time: 0ms
memory: 20284kb

input:

2000
1 2 2 3 2 1 7 8 8 6 9 12 12 3 8 3 9 15 3 19 8 7 4 19 18 23 10 21 10 15 10 22 1 21 19 26 1 38 38 1 18 37 14 27 37 43 30 4 2 2 13 42 13 9 13 38 21 23 58 32 13 62 18 62 15 49 5 61 1 45 29 48 38 34 31 43 45 38 52 54 13 21 78 36 21 45 57 14 25 18 29 45 2 43 8 51 75 79 95 55 29 98 55 93 33 5 93 14 77...

output:

865975765.954022988502402
864960665.599999999976717
853815173.555555555562023
725289681.799999999988358
835914002.750000000000000
751151162.299999999988358
880779494.263157894718461
883843482.916666666686069
866946310.460000000020955
875695250.272727272706106
798984107.400000000023283
869102654.8928...

result:

ok 2000 numbers

Test #6:

score: 10
Accepted
time: 3ms
memory: 20292kb

input:

2000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 5...

output:

780031265.285714285739232
709196423.634146341471933
852016017.000000000000000
710198590.855072463746183
942523004.000000000000000
795582647.000000000000000
817131607.000000000000000
723247621.674999999988358
711787456.321428571420256
702698215.818181818176527
778948304.750000000000000
825829512.6666...

result:

ok 2000 numbers

Test #7:

score: 10
Accepted
time: 3ms
memory: 20296kb

input:

2000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 5...

output:

621161049.048780487850308
460347579.946153846161906
624970425.723926380393095
386751620.240310077526374
463913107.317829457373591
565084289.953488372091670
628866372.379844961222261
344826388.200000000011642
389755854.015625000000000
428515994.796875000000000
467520113.531250000000000
517598544.1640...

result:

ok 2000 numbers

Test #8:

score: 10
Accepted
time: 6ms
memory: 20324kb

input:

2000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 5...

output:

621374004.574879227147903
487030122.875000000000000
624597241.700000000069849
939364019.000000000000000
480110389.248062015511096
578610053.000000000000000
628514468.213836478011217
497600202.000000000000000
398302285.670103092794307
430778150.178861788619542
483844086.023437500000000
534427093.2698...

result:

ok 2000 numbers

Test #9:

score: 10
Accepted
time: 0ms
memory: 18292kb

input:

2000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 5...

output:

762088830.233333333337214
781353370.172413793101441
714336862.833333333313931
723995695.130434782593511
787379090.464285714260768
708370854.052631578932051
735529969.826086956541985
725933828.318181818176527
721088075.738095238106325
810402666.888888888875954
798070041.714285714260768
761321868.0000...

result:

ok 2000 numbers

Test #10:

score: 10
Accepted
time: 0ms
memory: 20352kb

input:

2000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 5...

output:

796409562.000000000000000
777105384.250000000000000
719995401.840000000025611
755696351.523809523787349
972657380.000000000000000
705728479.946428571420256
822339463.666666666686069
756514023.714285714260768
858700663.000000000000000
980362468.000000000000000
924539106.000000000000000
708454243.0000...

result:

ok 2000 numbers

Test #11:

score: 10
Accepted
time: 3ms
memory: 20140kb

input:

2000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:

984618295.615384615375660
902277197.000000000000000
383235589.000000000000000
742640716.000000000000000
613666672.000000000000000
291453150.000000000000000
625937043.000000000000000
958739025.000000000000000
34831727.000000000000000
240997073.000000000000000
334863696.000000000000000
223278814.00000...

result:

ok 2000 numbers

Test #12:

score: 10
Accepted
time: 2ms
memory: 18476kb

input:

2000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

506787773.313432835828280
507473433.654135338350898
508859284.166666666656965
556160454.250000000000000
620472531.000000000000000
867793536.000000000000000
786222333.000000000000000
511025497.680851063836599
532981265.428571428579744
612986220.000000000000000
767631955.666666666686069
992646284.0000...

result:

ok 2000 numbers

Test #13:

score: 10
Accepted
time: 0ms
memory: 18480kb

input:

2000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

470231718.696500000340166
470466543.196098049345892
470701431.425425425753929
470936546.634952428983524
471171816.946893787913723
471407223.846115288557485
471642829.774322969227796
471878447.555444054509280
472114168.722389558563009
472349720.805123054073192
472585326.962311558105284
472820288.2855...

result:

ok 2000 numbers

Test #14:

score: 10
Accepted
time: 4ms
memory: 20468kb

input:

2000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

483979076.412999999360181
484220856.564282140432624
484462747.642142141528893
484704388.627441161108436
484945699.843186372105265
485187059.897744360263459
485428332.702106318320148
759340416.000000000000000
485532302.721385541546624
485773818.607734805991640
485873366.313567838573363
486115034.5515...

result:

ok 2000 numbers

Test #15:

score: 10
Accepted
time: 6ms
memory: 18544kb

input:

2000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

685495666.500000000000000
869312055.000000000000000
517163136.736842105252435
526888922.166666666656965
654153657.000000000000000
547770219.333333333313931
569562360.333333333313931
819660511.500000000000000
847532860.000000000000000
564798030.599999999976717
855185985.000000000000000
585505461.3333...

result:

ok 2000 numbers

Test #16:

score: 10
Accepted
time: 2ms
memory: 20492kb

input:

2000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

491106693.508771929831710
494822795.928571428579744
501410786.145454545447137
504759328.592592592583969
512059105.358490566024557
513949461.363636363646947
522550566.899999999994179
915653935.000000000000000
537905061.000000000000000
581374942.571428571420256
920748817.000000000000000
597709195.2000...

result:

ok 2000 numbers

Test #17:

score: 10
Accepted
time: 2ms
memory: 18328kb

input:

2000
1 1 3 3 2 5 4 2 1 5 7 1 7 5 11 7 13 15 15 18 12 17 13 19 15 12 25 18 24 30 30 23 19 20 32 36 25 27 30 37 28 33 34 35 31 38 35 45 48 50 48 50 40 45 43 49 53 53 52 54 61 56 53 63 60 58 54 58 68 68 69 68 70 73 62 71 71 77 69 69 71 74 72 76 79 80 81 83 75 86 90 86 91 91 91 85 90 88 99 90 94 91 102 ...

output:

734060776.500000000000000
907170094.000000000000000
884436883.000000000000000
248349393.000000000000000
731751628.857142857159488
122787902.000000000000000
631204225.000000000000000
3817027.000000000000000
52135197.000000000000000
803280314.000000000000000
259513623.000000000000000
590964999.5000000...

result:

ok 2000 numbers

Test #18:

score: 10
Accepted
time: 0ms
memory: 20380kb

input:

2000
1 1 1 3 1 5 1 7 6 6 8 3 9 7 14 2 7 7 11 7 13 19 19 12 16 13 18 16 19 23 18 32 24 34 32 31 28 34 26 31 41 28 42 30 33 43 47 38 49 38 49 40 41 49 44 45 54 52 51 53 55 59 52 61 52 61 65 65 60 58 62 68 73 65 71 76 64 71 68 73 67 75 73 75 75 80 81 76 76 87 77 85 93 82 93 84 89 97 88 89 96 102 92 100...

output:

712001072.839285714260768
4201358.500000000000000
713061983.144560357613955
2244053.000000000000000
714122990.614925373054575
5225148.333333333333485
715187323.005997001426294
5869207.000000000000000
716256611.593984962382820
3957454.000000000000000
6429324.000000000000000
7157175.000000000000000
83...

result:

ok 2000 numbers

Test #19:

score: 10
Accepted
time: 0ms
memory: 20328kb

input:

2000
1 1 1 2 1 6 2 5 1 2 9 11 1 13 10 12 5 5 13 13 14 17 14 22 13 15 16 16 28 21 31 18 26 21 21 26 34 28 39 31 36 32 34 40 34 40 44 46 46 46 50 47 45 53 42 42 46 46 49 47 60 62 59 61 59 59 66 63 67 60 62 70 68 64 62 70 68 70 79 76 81 75 80 70 80 85 85 85 85 83 80 88 89 92 83 90 93 95 99 93 100 88 89...

output:

697496384.399361022340599
698611495.703999999968801
143289881.000000000000000
1583426.000000000000000
9656032.750000000000000
2424102.000000000000000
2532741.000000000000000
3850673.000000000000000
7472201.000000000000000
518530306.000000000000000
699729704.716346153814811
8643690.333333333333030
70...

result:

ok 2000 numbers

Test #20:

score: 10
Accepted
time: 2ms
memory: 20376kb

input:

2000
1 1 1 3 1 4 3 7 5 6 7 3 7 8 10 6 13 4 12 18 16 16 10 15 20 18 15 24 15 19 24 21 32 22 25 25 33 30 37 37 40 29 31 32 40 39 44 38 39 45 50 52 46 45 48 45 46 47 56 48 51 49 63 51 57 63 61 57 58 58 64 61 63 60 61 63 71 77 66 78 77 70 81 70 85 80 83 84 84 77 78 86 84 85 91 82 83 85 92 92 88 92 101 1...

output:

788364530.666666666686069
291116820.000000000000000
705269522.000000000000000
968497131.000000000000000
479210979.500000000000000
984278789.000000000000000
749238791.000000000000000
650055971.263157894718461
330485123.000000000000000
502037324.000000000000000
306298229.000000000000000
306940374.3333...

result:

ok 2000 numbers

Test #21:

score: 10
Accepted
time: 4ms
memory: 20332kb

input:

2000
1 1 3 4 1 4 7 3 9 5 1 6 8 5 12 16 6 12 13 15 11 15 13 17 20 21 14 14 21 19 22 18 30 25 28 36 26 24 37 34 40 39 43 44 37 44 44 36 49 38 40 51 48 42 49 47 53 48 51 58 48 62 57 59 65 59 65 59 57 69 63 62 64 70 72 75 64 77 70 68 71 80 78 77 79 78 87 86 86 84 84 89 84 84 88 92 91 85 98 99 101 90 96 ...

output:

652426645.721590909117367
506709211.000000000000000
626941277.666666666686069
640221680.000000000000000
530323185.833333333343035
829464142.000000000000000
531001334.666666666656965
577506393.799999999988358
991902092.000000000000000
1000662.000000000000000
123643298.000000000000000
660010334.000000...

result:

ok 2000 numbers

Test #22:

score: 10
Accepted
time: 2ms
memory: 20332kb

input:

2000
1 2 3 4 4 3 7 3 9 7 7 9 12 14 4 7 1 18 7 6 19 11 21 24 23 15 22 3 1 14 9 24 26 14 9 8 1 32 21 13 11 4 3 4 25 24 18 10 9 36 10 18 53 25 6 26 19 26 44 29 34 56 40 63 60 43 50 63 52 64 59 56 62 52 50 72 47 55 67 48 55 54 53 44 57 81 44 64 49 61 44 43 52 78 91 60 48 71 74 78 83 63 72 64 96 59 75 77...

output:

661041438.183333333348855
709912195.857142857159488
738067587.000000000000000
723579217.400000000023283
671235505.000000000000000
661735797.645161290303804
661572310.395833333313931
592983701.000000000000000
616968314.687500000000000
649054462.933333333348855
777022558.000000000000000
455883204.2500...

result:

ok 2000 numbers

Test #23:

score: 10
Accepted
time: 5ms
memory: 20312kb

input:

2000
1 2 1 1 3 3 5 3 1 8 3 7 12 2 6 13 6 18 1 4 17 12 5 4 4 8 9 21 24 17 13 26 3 9 23 28 9 38 18 1 29 35 14 43 40 23 46 25 13 30 40 23 7 45 39 39 28 58 24 32 31 56 39 35 21 26 27 48 39 65 52 24 45 39 52 62 66 30 64 45 60 56 67 57 47 56 47 49 70 51 67 47 51 64 66 79 70 80 92 64 73 68 63 61 64 79 107 ...

output:

784494649.520161290303804
728336562.564013840863481
730864296.579861111182254
787670154.591093117429409
53300176.888888888890506
24228432.000000000000000
97778937.736842105259711
37729196.714285714286234
733404194.550522648147307
6499714.000000000000000
6922127.000000000000000
25869385.8333333333339...

result:

ok 2000 numbers

Test #24:

score: 10
Accepted
time: 5ms
memory: 20412kb

input:

2000
1 2 1 4 4 3 3 4 6 2 5 10 11 9 11 16 13 12 6 12 19 12 14 9 23 8 8 28 5 14 21 20 8 5 5 16 9 33 39 24 25 3 19 29 15 7 46 39 32 42 45 13 34 40 21 29 29 39 18 59 59 18 43 37 29 43 31 22 66 40 47 47 56 25 58 60 62 68 51 41 51 42 64 46 54 84 85 52 74 70 67 48 76 49 89 82 69 49 77 58 62 75 99 100 102 7...

output:

783353173.857142857159488
204903172.454545454544132
229172725.625000000000000
785254461.148058252409101
16952640.899999999999636
329675480.375000000000000
199435398.000000000000000
182894354.222222222218988
787160780.527980535291135
484557370.500000000000000
15562280.125000000000000
18638362.1111111...

result:

ok 2000 numbers

Test #25:

score: 10
Accepted
time: 6ms
memory: 20372kb

input:

2000
1 1 2 1 2 3 5 8 9 4 9 1 1 9 8 6 8 1 8 9 14 16 7 4 10 13 19 24 21 23 6 3 28 21 8 33 21 17 26 20 25 27 11 28 21 42 32 27 16 30 28 29 31 25 8 51 31 54 12 38 15 23 21 28 42 33 30 54 38 33 53 71 71 33 38 74 45 57 77 69 76 80 81 64 51 66 83 52 75 49 47 86 74 52 81 53 66 65 72 86 57 73 69 100 96 96 70...

output:

712379791.027777777751908
730937711.625000000000000
594520594.142857142840512
783452017.714285714260768
750107897.272727272706106
327405835.666666666656965
533643015.724137931043515
760578428.700000000011642
716674385.666666666686069
530704206.000000000000000
873840570.000000000000000
558880384.0000...

result:

ok 2000 numbers

Test #26:

score: 10
Accepted
time: 3ms
memory: 20356kb

input:

2000
1 2 2 3 3 3 7 2 6 2 8 4 13 14 1 8 13 17 13 15 13 10 11 22 24 12 22 16 6 6 10 14 13 30 10 25 27 20 37 5 13 27 14 19 21 1 24 42 21 36 36 4 46 30 41 41 51 22 10 15 22 19 27 28 20 42 42 47 22 58 68 37 56 63 51 40 36 45 40 59 62 56 73 58 62 45 75 87 78 63 67 66 48 49 51 68 85 68 55 64 64 88 98 80 99...

output:

862103310.000000000000000
646331770.147058823553380
647879605.208955223904923
937931035.000000000000000
846045856.000000000000000
653605854.854838709696196
647401386.578947368427180
763227900.000000000000000
356421127.000000000000000
664412500.559999999997672
583588916.750000000000000
678335454.3333...

result:

ok 2000 numbers

Test #27:

score: 10
Accepted
time: 6ms
memory: 20224kb

input:

2000
1 2 1 1 5 3 2 3 2 2 5 12 7 12 14 5 8 7 15 11 2 2 1 17 21 13 6 19 16 17 7 24 29 23 7 9 4 17 18 22 16 30 4 44 18 4 44 33 41 30 2 1 50 39 8 52 54 25 18 25 57 8 39 14 10 19 49 50 28 28 29 60 15 28 65 3 43 70 16 52 65 47 30 34 37 51 54 55 86 39 70 87 86 80 27 54 6 93 75 93 98 18 68 85 60 98 45 18 78...

output:

822926380.296296296291985
836531986.521739130432252
864103360.333333333313931
725945381.133333333360497
779930151.909090909117367
789866906.571428571420256
724645048.263157894718461
905205645.000000000000000
849643920.000000000000000
801687438.200000000011642
801268636.583333333313931
734015025.5999...

result:

ok 2000 numbers

Test #28:

score: 10
Accepted
time: 0ms
memory: 20160kb

input:

2000
1 1 1 4 5 1 3 5 3 5 6 2 4 1 9 13 11 11 7 6 16 9 4 16 14 12 4 2 24 16 5 22 17 22 13 24 25 38 1 7 6 18 2 42 19 43 19 23 3 47 14 45 30 37 25 9 44 44 11 55 51 7 8 21 33 66 49 63 9 53 21 13 58 21 37 63 4 31 60 65 52 7 10 18 68 20 43 53 45 62 85 64 40 41 35 7 72 50 89 85 57 49 90 93 60 63 44 37 8 85 ...

output:

618462437.884615384624340
567825893.250000000000000
567302445.325581395358313
619847729.736842105281539
628079388.062500000000000
587316194.777777777751908
576029985.333333333313931
592047118.095238095265813
572320227.069767441833392
534341960.277777777781012
562681987.437500000000000
572746051.1388...

result:

ok 2000 numbers

Test #29:

score: 10
Accepted
time: 2ms
memory: 20352kb

input:

2000
1 2 1 3 3 5 1 8 2 2 7 10 9 5 7 16 5 2 10 18 18 14 16 24 7 14 24 2 10 11 19 29 2 16 12 18 19 5 16 10 35 12 37 14 28 20 10 8 38 8 22 9 33 16 3 14 22 47 18 32 56 58 6 22 22 39 36 33 17 40 10 46 29 17 17 11 11 21 62 20 51 7 47 52 83 81 7 60 61 83 42 69 82 77 48 77 44 58 23 23 29 33 63 63 102 49 36 ...

output:

640682607.677419354848098
654794201.896551724115852
623724048.018518518540077
563367862.000000000000000
629996062.617021276615560
578005048.625000000000000
644883765.951219512207899
609658376.514285714307334
627572405.099999999976717
666070655.538461538439151
552742688.000000000000000
596053806.6216...

result:

ok 2000 numbers

Test #30:

score: 10
Accepted
time: 0ms
memory: 20224kb

input:

2000
1 2 1 4 5 2 5 8 5 3 4 11 3 4 9 1 4 11 14 18 19 11 21 13 22 9 15 13 14 24 9 22 31 33 23 16 33 19 34 21 10 40 40 28 30 24 9 45 28 28 20 2 12 15 22 55 54 10 18 25 56 24 42 28 36 13 63 48 49 34 16 56 1 14 27 1 1 31 43 50 71 20 61 72 50 57 53 11 15 65 2 1 24 87 33 77 33 54 26 91 43 12 53 44 6 101 95...

output:

875749748.750000000000000
980775550.000000000000000
792393684.733333333337214
877334746.000000000000000
892872799.250000000000000
692917302.444444444437977
844673232.000000000000000
968336393.000000000000000
809407059.000000000000000
841448499.666666666686069
802109709.227272727293894
822804828.6666...

result:

ok 2000 numbers

Test #31:

score: 10
Accepted
time: 5ms
memory: 20224kb

input:

2000
1 2 3 2 1 5 2 7 1 10 6 2 11 4 3 16 10 3 14 12 3 22 9 15 11 11 17 6 16 15 14 14 1 15 32 14 16 29 25 31 3 24 26 37 3 24 38 24 46 5 13 7 31 3 3 32 42 18 16 5 46 60 57 33 34 55 42 23 63 26 57 62 32 40 57 75 47 73 37 28 57 70 78 6 82 86 61 53 17 60 3 7 19 10 36 72 55 95 45 5 15 22 34 57 105 58 18 69...

output:

947322572.500000000000000
829209491.375000000000000
924970046.000000000000000
856705493.000000000000000
797400719.555555555562023
800729961.250000000000000
740208777.000000000000000
711780199.500000000000000
712300705.833333333313931
992631065.500000000000000
993761731.000000000000000
770162261.5000...

result:

ok 2000 numbers

Subtask #2:

score: 10
Accepted

Test #32:

score: 10
Accepted
time: 196ms
memory: 45616kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

792545632.415492957748938
794937150.351351351360790
794843085.477611940295901
804131414.226415094337426
805846267.166666666686069
806376230.000000000000000
778037203.690476190473419
815562308.150000000023283
776087995.601265822770074
809328819.588235294097103
767722826.595375722565223
771619640.6969...

result:

ok 200000 numbers

Test #33:

score: 10
Accepted
time: 133ms
memory: 44120kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

647279839.478768991015386
635973895.066731612256262
647532087.549103663244750
520992591.332846003904706
636283816.423001949326135
647784525.847953216347378
406566953.643588493403513
463185839.532910775218625
521246596.046318868844537
578740922.622135543613695
636594030.471477328159381
648037157.7063...

result:

ok 200000 numbers

Test #34:

score: 10
Accepted
time: 133ms
memory: 44368kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

647754328.613556680968031
636746616.852826510730665
648006765.734606391284615
521510675.013651877146913
637057064.154558751848526
648259391.943859649123624
406874686.223305704537779
464547475.685714285704307
521775592.651948051934596
579595626.967804878077004
637367808.865365853649564
648512210.6579...

result:

ok 200000 numbers

Test #35:

score: 10
Accepted
time: 132ms
memory: 44724kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

645282008.991906474810094
637131985.080817916255910
645927540.952716297761071
532495411.931034482753603
637752960.449317738763057
646578004.859013091656379
427748181.910000000003492
483202190.870069605560275
532964564.748329621390440
595909324.758269720128737
638382656.992071357788518
647229761.6673...

result:

ok 200000 numbers

Test #36:

score: 10
Accepted
time: 189ms
memory: 44184kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

786262518.926966292143334
780254007.048000000009779
788435954.436708860739600
771824213.525345622096211
791202439.096774193574674
796752745.750000000000000
792549624.964601769926958
776723747.185185185167938
771848261.457943925226573
795200761.599999999976717
766509591.260869565245230
773506193.3529...

result:

ok 200000 numbers

Subtask #3:

score: 40
Accepted

Dependency #1:

100%
Accepted

Test #37:

score: 40
Accepted
time: 59ms
memory: 27256kb

input:

50000
1 2 2 1 3 5 3 8 6 9 10 4 3 8 9 11 14 9 9 13 8 3 14 10 1 21 12 18 27 13 24 11 33 19 34 26 33 21 19 19 40 22 12 32 29 33 12 11 42 48 51 16 51 17 7 5 49 21 50 58 16 37 15 30 6 43 22 63 22 33 56 52 14 45 75 12 66 1 70 78 46 7 8 10 21 68 9 85 40 51 73 17 48 74 57 62 14 51 21 79 74 58 66 13 94 46 3 ...

output:

971673085.545454545470420
975121900.312500000000000
969075132.673076923063491
975664002.133333333360497
960157266.246913580223918
968562798.779411764699034
960213680.344262295053340
971201676.462962962978054
967906002.122807017527521
967354382.315789473708719
970196379.807228915684391
966188758.6796...

result:

ok 50000 numbers

Test #38:

score: 40
Accepted
time: 51ms
memory: 23288kb

input:

50000
1 1 3 1 5 5 6 7 9 6 7 8 7 14 10 13 14 14 2 16 17 5 7 18 10 9 21 11 8 14 25 18 9 13 32 14 17 36 1 33 27 8 25 34 12 14 31 15 9 21 31 33 48 34 47 24 43 25 57 56 1 8 20 6 25 4 36 8 23 64 35 53 10 57 49 48 57 29 70 20 19 7 34 81 47 80 30 15 47 16 42 85 69 83 83 92 86 63 66 50 38 53 10 44 69 8 1 2 8...

output:

942224552.444444444437977
938592235.607142857159488
937276088.864583333313931
939690058.953125000000000
942753910.662309368199203
942778448.968750000000000
943085088.936026936047710
939757973.055214723921381
943331141.746212121215649
947374272.342857142852154
940465502.758620689681266
928695506.7222...

result:

ok 50000 numbers

Test #39:

score: 40
Accepted
time: 51ms
memory: 27516kb

input:

50000
1 1 1 1 2 1 1 7 6 8 4 12 3 4 11 14 6 15 11 15 20 4 9 9 25 21 9 11 4 30 19 28 28 6 16 7 32 16 33 4 4 41 18 31 14 26 43 38 9 26 33 22 42 17 25 4 56 55 39 30 50 61 35 46 21 56 41 14 46 18 20 22 6 48 16 67 17 14 1 2 43 37 23 48 70 57 20 47 43 8 66 22 24 18 54 49 33 38 19 79 82 35 39 3 87 53 11 30 ...

output:

944712388.434523809526581
941100098.687500000000000
943431999.166666666686069
949572433.694444444437977
928087523.538461538439151
938832869.693548387091141
944590270.030303030274808
941495820.905084745783824
938971215.914285714272410
936958101.428571428579744
942148662.700000000011642
943199654.0606...

result:

ok 50000 numbers

Test #40:

score: 40
Accepted
time: 54ms
memory: 25440kb

input:

50000
1 2 1 4 2 5 4 4 5 1 3 5 2 7 2 10 16 10 4 6 17 8 11 22 17 19 24 13 18 6 17 4 20 14 16 14 13 8 37 3 26 12 2 11 3 32 26 45 2 32 47 12 1 16 54 38 4 38 46 38 5 58 62 62 48 31 54 7 15 29 59 28 1 15 41 70 54 3 74 33 29 79 80 65 47 84 83 72 52 69 38 68 87 77 6 67 22 9 49 65 54 16 65 88 15 50 86 36 85 ...

output:

953956988.794285714277066
955753576.466666666674428
961681011.725490196084138
948605589.398104265390430
948679227.114503816817887
943895226.695652173890267
944979449.473684210504871
955746751.545454545470420
943245032.773584905662574
952594647.543859649100341
951420466.974025974050164
967090881.7105...

result:

ok 50000 numbers

Test #41:

score: 40
Accepted
time: 59ms
memory: 23284kb

input:

50000
1 2 1 2 1 5 2 1 7 2 10 7 6 13 15 13 16 9 3 3 3 9 7 5 4 5 9 12 17 7 18 15 8 16 8 25 18 13 25 38 37 40 31 33 37 5 45 44 17 38 13 33 27 7 6 36 1 43 20 51 10 37 29 55 51 22 45 43 62 68 16 72 14 37 63 71 3 44 26 43 79 11 29 63 64 23 65 37 46 40 78 14 18 33 37 8 72 31 42 4 97 100 1 54 92 95 39 52 4 ...

output:

964561950.532307692279574
964711274.920634920650627
962409995.229508196702227
974365017.692307692312170
965760173.429864253383130
954599031.923076923063491
967458305.416666666686069
954314641.918604651174974
958655949.588235294097103
981998170.833333333313931
962843546.648648648639210
953611496.4666...

result:

ok 50000 numbers

Test #42:

score: 40
Accepted
time: 47ms
memory: 23896kb

input:

50000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 ...

output:

773863494.054263565863948
775841788.197368421067949
830247017.000000000000000
842347961.000000000000000
791235723.000000000000000
909353052.000000000000000
757149328.333333333313931
735430381.072580645151902
772128189.215686274517793
932157234.666666666686069
779289752.692307692312170
817520136.0000...

result:

ok 50000 numbers

Test #43:

score: 40
Accepted
time: 31ms
memory: 23840kb

input:

50000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 ...

output:

643577475.006902502267621
633928660.822957198426593
644133215.905008635658305
519853211.895813047711272
634545875.282375851995312
644689898.312013828894123
404473778.446601941745030
461771925.238834951451281
520359827.647173489269335
577875991.443469785561319
635164272.693957114999648
645326620.3586...

result:

ok 50000 numbers

Test #44:

score: 40
Accepted
time: 35ms
memory: 27628kb

input:

50000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 ...

output:

642875596.490940465999302
632905812.206225680944044
643430748.175302245304920
520071274.180232558137504
633522063.780915287265088
643986851.173725151282270
405725519.989623865112662
464198184.287378640787210
521081065.190291262144456
578111833.261997406021692
634139500.133528265112545
644645751.4813...

result:

ok 50000 numbers

Test #45:

score: 40
Accepted
time: 41ms
memory: 27476kb

input:

50000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 ...

output:

873087446.000000000000000
647700608.603960396023467
658686109.086567164165899
891514193.000000000000000
649538346.748251748213079
658779802.311377245525364
539422730.506493506487459
554330688.928571428579744
578772977.461538461560849
609731117.833333333313931
654112106.408450704184361
661957499.8598...

result:

ok 50000 numbers

Test #46:

score: 40
Accepted
time: 47ms
memory: 27564kb

input:

50000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 ...

output:

767297605.473118279594928
767742339.293478260864504
741039032.336538461560849
761869530.605042016832158
768896292.263736263732426
974861468.000000000000000
747382676.725490196084138
764374664.288135593233164
770469513.050847457605414
756494391.655172413797118
775626354.126984126982279
743592645.4313...

result:

ok 50000 numbers

Test #47:

score: 40
Accepted
time: 53ms
memory: 23204kb

input:

50000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

994963454.235849056625739
283414155.000000000000000
428236415.000000000000000
216320268.000000000000000
799276813.000000000000000
187955146.000000000000000
516402728.000000000000000
561769656.000000000000000
351055255.000000000000000
587866416.000000000000000
876383211.000000000000000
487671139.0000...

result:

ok 50000 numbers

Test #48:

score: 40
Accepted
time: 35ms
memory: 34144kb

input:

50000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...

output:

743118558.666666666686069
797411881.000000000000000
882130895.000000000000000
551625635.111111111124046
617260520.625000000000000
978414185.000000000000000
670401000.000000000000000
889144857.000000000000000
620523911.250000000000000
745552884.333333333313931
758151726.500000000000000
767371185.0000...

result:

ok 50000 numbers

Test #49:

score: 40
Accepted
time: 32ms
memory: 30088kb

input:

50000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...

output:

477091753.136300000216579
477101295.161523230694002
477110837.371554862416815
477120379.622177330864361
477129921.954936395137338
477139464.564656465867301
477149007.124054886808153
477158549.990698698034976
477168092.881341014784994
477177635.784941289661219
477187178.577295459312154
477196720.6918...

result:

ok 50000 numbers

Test #50:

score: 40
Accepted
time: 36ms
memory: 33868kb

input:

50000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...

output:

475254069.814579999016132
475263574.929138581792358
475273080.275291010650108
475282585.873272395343520
475292090.890371228713775
475301596.056425641581882
475311101.048505819693673
475320606.361590621701907
475330111.801628259534482
475339617.279030224453891
475349122.976435286051128
475358629.0494...

result:

ok 50000 numbers

Test #51:

score: 40
Accepted
time: 37ms
memory: 32200kb

input:

50000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...

output:

475549514.084260000468930
475559025.168723374925321
475568536.617404696648009
475578048.353161190141691
475587560.305324426415609
475597072.486908691324061
475606584.799775973573560
475616097.309703358914703
475623522.255900944612222
475633035.105719029874308
475635979.832966593763558
827692018.0000...

result:

ok 50000 numbers

Test #52:

score: 40
Accepted
time: 41ms
memory: 29956kb

input:

50000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...

output:

692670347.500000000000000
919601718.333333333313931
928188102.000000000000000
937096966.000000000000000
676499766.000000000000000
739252107.500000000000000
820447758.500000000000000
981753755.000000000000000
794630409.000000000000000
684742729.500000000000000
765115626.400000000023283
786194323.7500...

result:

ok 50000 numbers

Test #53:

score: 40
Accepted
time: 46ms
memory: 26808kb

input:

50000
1 1 1 1 5 3 1 3 8 9 7 2 13 12 3 12 12 14 19 17 14 14 22 20 14 18 21 22 26 17 31 23 27 23 22 35 37 26 32 40 38 29 40 32 41 33 43 38 43 43 41 50 51 45 48 50 51 58 49 50 58 52 59 55 59 56 63 68 58 69 71 70 61 68 65 76 77 65 69 74 73 69 72 74 78 79 79 85 80 86 81 80 93 90 86 95 96 94 87 97 93 99 9...

output:

869081616.666666666686069
873980197.571428571420256
686874168.444444444437977
717233775.000000000000000
962869213.000000000000000
533957416.000000000000000
774012148.500000000000000
763400744.000000000000000
555181495.000000000000000
135641341.000000000000000
761689744.000000000000000
927614350.0000...

result:

ok 50000 numbers

Test #54:

score: 40
Accepted
time: 35ms
memory: 24756kb

input:

50000
1 1 1 3 1 6 7 1 9 6 3 8 13 13 10 14 3 9 11 17 7 10 18 13 18 21 24 21 15 19 27 22 33 25 25 22 30 28 26 32 28 40 41 34 45 37 38 35 46 43 51 40 50 46 45 47 53 46 56 47 56 55 51 61 61 62 54 56 57 64 58 58 69 70 69 73 67 74 66 68 70 79 77 76 83 72 78 87 76 79 91 83 93 88 88 85 96 89 92 87 94 91 101...

output:

721593337.206537132733501
38324.000000000000000
2980288.924050632911303
68272.000000000000000
71661.000000000000000
721634216.523175430833362
721675103.659432198270224
446225.099999999999994
306580.000000000000000
287033.333333333333343
260023.500000000000000
220046.000000000000000
482979.8888888888...

result:

ok 50000 numbers

Test #55:

score: 40
Accepted
time: 43ms
memory: 28836kb

input:

50000
1 1 1 3 4 3 7 8 6 7 8 11 8 1 9 5 15 14 9 20 12 17 21 12 17 15 17 20 16 19 31 21 22 29 24 25 27 36 32 29 33 29 37 43 43 43 42 46 42 43 46 49 50 51 42 47 55 53 47 52 49 51 55 57 54 57 66 57 60 60 65 72 59 72 63 74 63 68 75 79 67 71 79 77 72 80 83 86 84 77 77 80 86 81 90 89 88 91 93 86 93 102 98 ...

output:

724780675.813051247969270
10182.000000000000000
724822459.506687420594972
67517.666666666666664
172802.599999999999994
83802.500000000000000
724864291.657829376577865
724906158.895609474100638
724948033.943844242661726
99578.000000000000000
110474.500000000000000
342190.250000000000000
112340.000000...

result:

ok 50000 numbers

Test #56:

score: 40
Accepted
time: 52ms
memory: 28720kb

input:

50000
1 2 2 2 5 1 5 6 9 8 3 12 2 2 12 2 8 9 9 16 14 19 22 17 24 25 19 19 25 16 29 22 20 22 34 22 23 36 39 33 31 34 38 32 31 40 38 37 40 50 41 46 51 49 47 46 52 55 47 60 54 51 61 56 59 61 67 56 61 61 61 68 65 61 69 64 66 78 77 68 71 80 76 70 73 85 77 83 89 76 85 82 92 81 83 84 95 87 98 98 99 91 90 90...

output:

681227484.914408339012880
681269262.982089186611120
207865019.857142857144936
59869.000000000000000
681287107.945211363257840
681328908.802381245186552
89981.000000000000000
461930866.500000000000000
681370720.699993863003328
100049.000000000000000
110653.000000000000000
242500671.000000000000000
15...

result:

ok 50000 numbers

Test #57:

score: 40
Accepted
time: 51ms
memory: 26792kb

input:

50000
1 1 3 3 3 6 3 5 5 7 2 10 9 14 10 3 17 7 6 20 16 15 13 11 14 15 16 26 21 24 27 23 20 24 24 29 32 34 25 28 36 41 42 41 32 46 35 37 35 39 48 49 48 53 47 46 57 51 53 55 50 55 53 63 59 64 65 56 57 59 69 63 66 74 65 63 68 73 75 74 73 80 82 77 82 83 73 85 81 77 88 87 92 84 85 88 92 97 97 95 92 89 101...

output:

725863580.764705882349517
253390640.000000000000000
732101026.818181818176527
56033110.000000000000000
735122685.111111111124046
729796099.599999999976717
558773682.000000000000000
452733508.000000000000000
712062358.333333333313931
753952374.750000000000000
900828449.000000000000000
369618360.00000...

result:

ok 50000 numbers

Test #58:

score: 40
Accepted
time: 46ms
memory: 24284kb

input:

50000
1 2 2 2 4 6 1 5 3 1 6 12 12 2 2 4 12 17 19 2 19 20 2 18 11 19 20 19 19 18 9 15 1 26 5 13 18 33 15 6 35 33 19 36 3 46 24 15 44 34 18 17 31 35 17 23 41 55 18 59 20 39 38 45 54 56 38 21 29 37 71 42 38 64 72 46 40 51 71 68 55 62 58 73 64 78 75 87 73 72 90 58 92 57 61 52 52 64 82 84 72 71 89 59 67 ...

output:

701457322.214285714260768
740293535.250000000000000
491323519.000000000000000
694288040.545454545470420
448059556.500000000000000
726085281.000000000000000
905996078.000000000000000
801580231.000000000000000
892797775.000000000000000
395307105.000000000000000
708069106.625000000000000
687958201.7999...

result:

ok 50000 numbers

Test #59:

score: 40
Accepted
time: 42ms
memory: 24328kb

input:

50000
1 1 1 4 2 6 6 8 5 7 2 3 12 4 11 14 13 1 8 15 7 21 6 23 8 9 23 11 4 18 25 26 25 31 26 24 20 31 35 20 35 31 2 6 6 17 36 22 7 34 42 14 16 18 53 8 25 11 57 49 52 29 63 31 47 58 51 40 39 24 65 58 55 37 36 71 36 59 70 45 51 33 53 45 71 84 43 59 43 43 73 79 63 47 77 70 74 51 67 91 73 56 67 64 73 66 8...

output:

825756805.767396443814505
2879204.212121212121247
13413401.921568627451052
825841690.302734375174623
61057.500000000000000
2968921.468750000000000
3063094.129032258064626
704570.555555555555543
195440.000000000000000
73781.000000000000000
3163463.099999999999909
1586497.333333333333371
13545981.4851...

result:

ok 50000 numbers

Test #60:

score: 40
Accepted
time: 42ms
memory: 27776kb

input:

50000
1 1 3 3 3 3 7 4 2 9 9 11 9 13 12 11 17 3 4 16 12 1 17 6 25 17 24 26 1 7 20 3 13 11 25 26 37 26 37 18 5 4 9 32 19 44 38 27 7 10 10 41 53 39 34 36 42 52 16 25 41 33 59 20 25 18 61 26 29 26 45 34 24 67 26 49 65 59 69 39 76 47 41 47 71 63 60 68 61 68 61 66 78 72 89 74 58 76 65 56 88 102 55 94 57 8...

output:

825405139.677211238536984
670829.428571428571445
825491035.962535123573616
825576942.290174854511861
1275289.000000000000000
3389618.972972972972912
444271.666666666666657
144447.000000000000000
61405051.296296296295623
768252.600000000000023
64588657.000000000000000
1410654.125000000000000
1150211....

result:

ok 50000 numbers

Test #61:

score: 40
Accepted
time: 43ms
memory: 27932kb

input:

50000
1 2 3 2 2 4 3 7 5 3 6 7 11 4 10 7 4 11 12 6 3 17 21 14 3 8 20 6 13 17 6 6 7 23 5 16 34 7 1 20 34 4 26 19 22 16 22 32 44 26 23 14 21 44 29 15 22 24 44 52 42 31 60 33 63 60 41 49 48 60 51 24 40 59 62 69 68 37 56 52 48 63 59 72 47 64 59 74 67 48 64 57 59 92 73 50 94 50 64 70 65 64 67 93 59 59 81 ...

output:

768290893.322121896140743
768377615.709109380317386
768398946.438770899258088
884050573.000000000000000
802567934.000000000000000
469847672.399999999994179
327521584.416666666656965
355204.500000000000000
226358.000000000000000
330457278.000000000000000
282059192.500000000000000
552128974.5000000000...

result:

ok 50000 numbers

Test #62:

score: 40
Accepted
time: 52ms
memory: 24376kb

input:

50000
1 1 3 4 1 2 1 5 5 3 8 11 5 2 5 3 2 2 16 14 12 21 17 21 18 7 12 20 24 19 25 5 8 1 29 17 36 29 39 23 40 12 33 35 15 40 24 20 13 23 3 6 33 32 18 45 31 54 48 11 47 18 40 44 45 31 44 36 32 33 63 70 60 68 70 69 28 37 58 31 64 42 45 46 42 47 84 48 87 87 48 48 89 89 66 66 83 96 85 74 57 59 60 80 59 62...

output:

753851821.166666666686069
668632062.796875000058208
887662943.000000000000000
715307184.799999999988358
782690121.000000000000000
886918512.000000000000000
249813213.000000000000000
714025645.000000000000000
233172989.000000000000000
922750594.000000000000000
774907023.000000000000000
845317284.0000...

result:

ok 50000 numbers

Test #63:

score: 40
Accepted
time: 49ms
memory: 27556kb

input:

50000
1 1 3 1 4 1 5 1 7 1 9 11 12 5 8 15 1 10 12 17 17 2 3 4 18 21 6 20 18 28 26 28 1 3 32 5 17 32 10 21 40 23 27 14 3 6 16 45 36 21 36 27 51 34 52 21 50 9 10 3 37 42 27 61 36 14 25 32 2 1 25 32 40 71 5 65 30 74 58 31 59 40 40 13 48 77 14 65 53 77 27 52 78 37 26 83 23 78 95 15 92 6 30 34 47 67 50 69...

output:

901951603.111111111124046
939637957.500000000000000
933802636.000000000000000
816014947.580645161273424
995461141.000000000000000
829205237.622641509457026
800648794.666666666686069
829926939.965517241391353
838950727.531531531538349
809656687.750000000000000
816265667.590909090882633
842745436.5000...

result:

ok 50000 numbers

Test #64:

score: 40
Accepted
time: 46ms
memory: 23868kb

input:

50000
1 2 3 1 2 3 1 2 9 5 2 12 3 2 7 15 4 15 8 3 11 15 2 22 9 5 20 7 1 29 10 10 16 19 34 29 7 6 27 18 8 33 8 37 38 7 2 44 40 47 46 50 6 1 42 41 54 39 21 35 44 46 11 18 18 57 24 43 62 63 65 68 16 24 16 43 59 67 67 75 21 8 62 57 44 36 52 26 10 41 30 73 4 88 51 36 20 65 27 92 89 101 45 38 47 39 94 60 5...

output:

633723546.258620689681266
643127487.345454545458779
626455958.117948717961553
629803482.128205128188711
623134669.450000000011642
656528160.700000000011642
626313086.846153846126981
632579691.458333333313931
626287620.671641791064758
629914244.054545454564504
623766689.538461538439151
628698528.7843...

result:

ok 50000 numbers

Test #65:

score: 40
Accepted
time: 36ms
memory: 27564kb

input:

50000
1 1 1 1 5 1 2 1 6 8 7 8 3 4 13 10 14 12 7 17 13 7 9 21 19 1 3 13 7 3 14 7 19 7 18 26 29 2 35 11 30 3 42 25 18 23 18 20 21 15 46 10 35 28 44 55 17 10 26 30 21 21 16 41 13 61 20 53 36 32 68 49 73 46 15 59 75 57 59 37 60 40 75 22 61 10 15 46 80 28 67 24 19 60 34 94 43 43 4 72 29 45 29 46 48 19 37...

output:

651110072.888888888875954
613997859.385321100940928
641609873.414285714272410
618478919.964705882361159
613302520.188925081456546
614849359.594594594556838
633734586.299999999988358
614442940.450000000011642
655942871.968253968225326
621243361.435897435876541
562467009.875968992244452
630093669.5689...

result:

ok 50000 numbers

Test #66:

score: 40
Accepted
time: 50ms
memory: 25904kb

input:

50000
1 1 1 3 1 1 6 2 4 10 2 6 6 11 11 11 6 11 10 20 1 20 5 15 11 24 11 24 4 26 19 23 29 14 24 2 3 21 3 34 30 41 8 33 25 43 14 6 43 19 20 28 33 12 55 29 1 30 3 17 29 25 54 34 22 33 18 57 3 56 42 12 14 61 11 42 35 39 51 20 58 36 28 67 5 23 52 65 59 68 7 61 88 52 74 7 31 66 19 33 82 2 102 87 98 93 90 ...

output:

721192597.409090909117367
713888175.357142857159488
698075236.200000000011642
714617007.878048780490644
710842318.318181818176527
756738964.062500000000000
660494943.923076923063491
649846021.120689655188471
632481327.184782608703244
729587591.576923076936509
786801772.777777777751908
722544645.9444...

result:

ok 50000 numbers

Test #67:

score: 40
Accepted
time: 55ms
memory: 27436kb

input:

50000
1 1 1 1 1 2 3 8 2 5 10 7 7 11 9 8 12 7 6 15 20 11 2 11 23 4 5 3 15 26 23 1 14 23 3 27 6 25 32 20 9 17 16 42 27 8 43 40 8 28 9 17 2 5 20 44 7 58 45 25 36 22 2 61 34 8 14 43 10 50 5 48 3 22 59 57 12 2 36 8 31 62 78 49 64 19 51 64 37 3 1 82 69 48 65 44 97 59 93 60 10 21 65 75 71 31 35 95 56 92 22...

output:

887282016.411764705902897
858624524.157894736854360
843241926.775000000023283
803954793.250000000000000
914224170.777777777751908
839683888.931034482782707
842493264.000000000000000
849695227.928571428579744
861265724.772727272706106
983738870.000000000000000
840169391.733333333337214
885056239.6666...

result:

ok 50000 numbers

Subtask #4:

score: 40
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Test #68:

score: 40
Accepted
time: 272ms
memory: 43632kb

input:

200000
1 2 2 1 1 3 7 1 8 1 9 9 9 9 7 11 10 6 9 11 7 14 21 24 17 6 26 3 19 17 17 19 11 5 15 5 18 5 29 38 35 8 16 25 1 43 45 22 26 3 48 41 39 5 27 27 32 51 23 12 17 47 47 20 38 39 19 28 22 41 13 4 11 60 34 67 34 6 44 4 73 52 60 10 46 68 39 1 19 28 42 83 28 7 52 77 55 95 37 57 4 44 40 32 11 76 37 38 39...

output:

989409261.823529411747586
983299539.007751937955618
985470727.935483870969620
974094728.641509433975443
990050386.913043478270993
988282659.192307692312170
992853584.000000000000000
979067566.827906976744998
983658629.471615720540285
981025883.752577319566626
990982346.950000000011642
977745667.4210...

result:

ok 200000 numbers

Test #69:

score: 40
Accepted
time: 230ms
memory: 41688kb

input:

200000
1 2 1 3 2 1 3 6 4 6 6 6 10 2 11 13 2 1 13 14 10 22 20 23 10 1 1 15 13 25 30 30 2 1 25 23 37 38 20 28 26 24 28 34 44 29 8 48 30 37 25 47 27 24 42 37 44 6 29 53 2 20 25 20 29 4 33 64 64 7 27 22 10 64 72 20 11 62 65 66 73 4 53 18 35 15 33 8 28 30 27 10 84 19 7 13 65 93 52 86 42 11 36 39 89 92 29...

output:

970287546.133786848047748
968385353.775691699585877
968415678.582677165337373
970791288.104477611952461
970006594.086956521729007
968426164.385836385830771
967423702.125000000000000
968137622.809917355363723
965558185.966666666674428
970671309.137404580134898
966402789.391061452508438
969219852.2153...

result:

ok 200000 numbers

Test #70:

score: 40
Accepted
time: 224ms
memory: 43624kb

input:

200000
1 2 2 1 2 5 1 6 1 8 8 5 10 7 9 2 2 16 14 17 8 13 11 18 25 6 18 26 5 3 17 26 12 16 23 3 18 23 18 38 26 42 38 31 18 34 20 15 5 17 41 3 46 40 7 29 9 48 30 42 47 36 23 27 60 37 52 49 30 29 62 54 59 9 4 70 70 18 35 35 63 71 11 38 62 12 28 75 13 50 73 85 20 45 28 26 54 51 37 89 93 68 81 17 22 50 5 ...

output:

968831648.788583509507589
968863354.055016181257088
969495937.669354838726576
967975078.353448275884148
967549960.427561837481335
968486149.361445783113595
968177992.609137055813335
969792162.056451612908859
968823471.057591623044573
967817938.263852242729627
967036539.344262295053340
967347608.6149...

result:

ok 200000 numbers

Test #71:

score: 40
Accepted
time: 239ms
memory: 42048kb

input:

200000
1 2 1 4 2 4 2 2 8 1 4 2 3 10 12 13 12 13 11 19 12 2 17 24 22 24 21 7 17 6 16 14 28 1 24 12 25 22 33 33 12 27 21 5 12 40 26 42 12 34 10 13 48 45 22 44 2 11 20 8 2 58 61 3 16 22 65 12 13 14 32 22 17 55 22 38 24 12 65 24 17 22 12 58 52 5 9 63 11 24 68 19 9 87 33 85 3 19 7 41 73 15 56 70 21 28 96...

output:

973235985.692660550470464
979754359.648648648639210
968430371.419047619041521
973724075.411111111112405
967775588.931818181823473
968058153.599999999976717
981567916.966666666674428
969320645.373493975901511
966678197.066666666651145
970042423.089473684201948
969886460.290322580665816
973553963.7767...

result:

ok 200000 numbers

Test #72:

score: 40
Accepted
time: 242ms
memory: 42164kb

input:

200000
1 1 3 2 5 6 7 7 4 1 11 12 2 2 9 6 3 17 9 19 2 16 4 22 13 4 12 8 25 10 12 12 26 13 17 34 28 8 16 8 9 31 40 41 7 36 12 12 2 41 26 12 48 23 16 38 50 19 30 31 3 50 41 56 54 29 57 3 59 63 52 23 12 49 48 75 67 22 38 68 65 80 72 29 38 15 53 43 54 29 21 16 15 91 80 26 56 39 42 44 61 98 31 82 75 10 94...

output:

985087677.297169811325148
983472922.558635394438170
984158593.262032085563987
991651977.538461538439151
983991056.654205607483163
984582197.521072796953376
985021725.488888888910878
987109686.038461538439151
985014115.483870967756957
988570762.347826086974237
990861240.409090909117367
992234689.2222...

result:

ok 200000 numbers

Test #73:

score: 40
Accepted
time: 163ms
memory: 44128kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

821234508.000000000000000
793175890.029761904734187
880595059.750000000000000
786454657.063291139260400
800712405.955555555527098
931940817.333333333313931
794462114.622950819670223
769434758.366197183087934
794238250.342857142852154
975473172.000000000000000
807911176.000000000000000
991596197.0000...

result:

ok 200000 numbers

Test #74:

score: 40
Accepted
time: 136ms
memory: 46044kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

647203459.206466692674439
636117177.109595713613089
647455680.072096648509614
520414155.885964912275085
636427172.022904483426828
647708095.370370370394085
406705400.847391516319476
462784400.841053144802572
520667884.141882008785615
578516072.365675280336291
636737461.199414919537958
647960702.0752...

result:

ok 200000 numbers

Test #75:

score: 40
Accepted
time: 129ms
memory: 40988kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

647637977.731982859433629
635858921.976109215000179
647890369.231098986812867
521516257.217836257303134
636169096.203414634161163
648142956.350877193035558
406515564.621832358679967
463701021.621160409558797
521770528.258410531445406
579482973.737688932218589
636479570.850658857962117
648395737.6388...

result:

ok 200000 numbers

Test #76:

score: 40
Accepted
time: 137ms
memory: 46028kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

647332250.999122806999367
637831525.579545454529580
647901937.166813768737484
531530356.442148760339478
638738816.204836415359750
648474279.940812720858958
432659345.443333333329065
476207754.469135802472010
531604570.139310344820842
582784516.940813810098916
639811780.729729729704559
649062747.2970...

result:

ok 200000 numbers

Test #77:

score: 40
Accepted
time: 189ms
memory: 41216kb

input:

200000
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52...

output:

789569726.000000000000000
769658462.070671378111001
777194307.117647058796138
769732044.914285714272410
773697696.844660194183234
909145827.000000000000000
769800644.385542168689426
772274392.117187500000000
991813955.000000000000000
893472746.000000000000000
883822862.666666666686069
796314216.2500...

result:

ok 200000 numbers

Test #78:

score: 40
Accepted
time: 241ms
memory: 42880kb

input:

200000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:

998015287.181585677724797
598438798.000000000000000
514316816.000000000000000
460896108.000000000000000
791140524.000000000000000
14315745.000000000000000
558076503.000000000000000
587089998.000000000000000
707162851.000000000000000
758801499.000000000000000
745101092.000000000000000
43417044.000000...

result:

ok 200000 numbers

Test #79:

score: 40
Accepted
time: 148ms
memory: 69584kb

input:

200000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

533424854.333333333343035
566152638.200000000011642
663852395.000000000000000
838102964.500000000000000
995834128.000000000000000
573986802.000000000000000
510078749.279999999998836
529400929.000000000000000
583795080.666666666686069
593098814.500000000000000
943550432.000000000000000
555772961.6666...

result:

ok 200000 numbers

Test #80:

score: 40
Accepted
time: 137ms
memory: 69800kb

input:

200000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

476465682.251745001063682
476468064.579462898371276
476470446.910294104018249
476472829.236453547870042
476475211.562041241879342
476477593.884627116756747
476479976.194730842980789
476482358.523698330507614
476484740.800057003361871
476487123.098899451550096
476489505.412865644349949
476491887.7450...

result:

ok 200000 numbers

Test #81:

score: 40
Accepted
time: 150ms
memory: 67836kb

input:

200000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

475615719.749975005339365
475618097.837674193724524
475620475.940719412523322
475622854.057355865690624
475625232.186653738404857
475627610.330558269284666
475629988.474684245855315
475632366.642427490296541
475634744.822027886461001
475637122.990454575803597
475639501.160918051231420
475641879.3541...

result:

ok 200000 numbers

Test #82:

score: 40
Accepted
time: 151ms
memory: 66156kb

input:

200000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

476228346.453370001137955
476230727.597832990315510
476233108.757322574383579
476235489.928293925564503
476237871.091681834775954
476240252.269641742197564
476242633.432417973672273
476245014.590425666043302
625111488.000000000000000
476246651.382267203181982
476249032.550362519279588
476251413.6612...

result:

ok 200000 numbers

Test #83:

score: 40
Accepted
time: 165ms
memory: 69804kb

input:

200000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

476314407.977417558635352
476316729.186548694473458
476322063.915351772797294
476345325.145853960391833
489120592.750000000000000
529910891.333333333343035
539717849.000000000000000
705420635.000000000000000
476356967.002104611572577
476357274.955490900087170
515589436.333333333343035
565707254.2500...

result:

ok 200000 numbers

Test #84:

score: 40
Accepted
time: 208ms
memory: 49420kb

input:

200000
1 2 2 3 3 6 2 3 6 6 11 11 6 3 9 7 7 4 5 7 8 19 23 24 21 12 26 17 22 27 24 24 30 25 35 31 28 28 39 30 31 28 38 41 36 34 41 38 37 46 37 45 46 40 50 46 45 54 54 47 60 62 60 53 55 64 64 56 55 69 60 60 61 70 72 71 67 73 76 75 77 72 70 83 81 73 83 79 82 77 81 79 93 91 91 92 89 96 92 91 99 90 91 93 ...

output:

650541094.142857142840512
749624196.200000000011642
666714166.000000000000000
833209737.500000000000000
551061149.500000000000000
630673722.265486725664232
668780929.000000000000000
612275804.000000000000000
509708870.500000000000000
134239151.000000000000000
604377235.555555555562023
631617413.4285...

result:

ok 200000 numbers

Test #85:

score: 40
Accepted
time: 162ms
memory: 47892kb

input:

200000
1 2 3 1 2 6 3 6 8 9 3 5 2 4 7 4 10 12 19 19 12 16 21 18 14 21 16 26 21 25 19 32 31 25 27 33 33 36 28 36 41 39 35 40 38 40 44 34 38 50 50 39 40 46 51 42 53 50 51 56 47 58 57 53 53 60 62 61 65 67 59 62 67 68 72 76 71 74 67 71 75 73 75 75 80 78 87 86 86 83 79 83 90 91 83 93 83 86 94 87 87 88 93 ...

output:

724882127.138091975706629
724892473.339718245610129
724902819.833999429130927
38785.000000000000000
34005.000000000000000
383321.444444444444457
397661.458333333333343
109279.600000000000001
34723.000000000000000
117643.666666666666664
35354.000000000000000
724913166.614981658349279
42864.0000000000...

result:

ok 200000 numbers

Test #86:

score: 40
Accepted
time: 166ms
memory: 49352kb

input:

200000
1 1 1 2 1 4 4 2 3 6 10 1 12 4 9 8 4 4 15 11 8 21 21 10 22 21 14 19 28 17 29 30 30 29 21 33 24 38 27 26 28 42 33 39 43 45 40 41 40 41 41 48 51 53 41 45 50 47 52 55 54 57 53 58 53 65 54 57 62 64 68 60 62 65 65 74 67 78 76 74 72 69 82 75 79 76 86 84 86 79 86 86 79 84 81 89 91 90 88 100 98 90 90 ...

output:

724620326.695642214850523
26431.666666666666666
110612.769230769230766
250974.708333333333329
14165.000000000000000
724630700.467394883278757
20050.000000000000000
262537.300000000000011
37453.000000000000000
119041.583333333333336
724641074.321832498128060
127135.000000000000000
34691.0000000000000...

result:

ok 200000 numbers

Test #87:

score: 40
Accepted
time: 174ms
memory: 48252kb

input:

200000
1 2 1 3 5 4 7 8 1 2 8 5 2 12 4 3 11 18 14 19 7 11 15 13 21 14 19 16 18 22 28 29 20 26 23 31 35 26 36 39 28 37 43 35 39 34 36 39 35 48 43 43 52 47 52 44 53 53 48 48 60 54 62 64 51 63 56 65 63 67 60 59 65 60 67 67 69 71 72 66 68 81 80 84 79 84 80 74 78 78 82 78 86 94 92 87 83 91 90 92 95 89 93 ...

output:

712661339.330433764902409
712671758.328596490551718
49458.199999999999999
231149246.333333333328483
57455.000000000000000
27796.000000000000000
346712067.000000000000000
693392277.000000000000000
43044.000000000000000
43571.000000000000000
712682177.914932814077474
64500.666666666666668
73556.000000...

result:

ok 200000 numbers

Test #88:

score: 40
Accepted
time: 202ms
memory: 48052kb

input:

200000
1 2 1 1 5 2 1 8 1 10 4 2 9 12 9 6 15 9 6 12 17 20 13 17 20 14 20 22 24 19 27 23 27 21 31 23 24 28 29 39 30 38 40 36 38 44 45 42 37 49 48 52 53 44 42 45 43 52 58 46 58 55 52 58 54 55 62 66 64 56 69 70 68 72 66 73 69 77 72 69 71 82 79 80 71 83 81 87 82 83 77 87 89 90 85 91 97 95 99 95 88 94 95 ...

output:

753594982.666666666686069
649363904.191489361692220
213014381.000000000000000
914560229.000000000000000
626945864.000000000000000
682152190.000000000000000
417561332.000000000000000
655329024.599999999976717
911473399.000000000000000
757712263.000000000000000
9379130.000000000000000
611799984.000000...

result:

ok 200000 numbers

Test #89:

score: 40
Accepted
time: 210ms
memory: 46068kb

input:

200000
1 2 2 4 2 5 3 4 6 1 5 2 1 9 2 7 17 2 12 2 6 22 3 6 18 25 27 27 18 16 17 1 15 11 32 28 5 29 12 39 16 23 18 9 21 38 14 17 17 36 18 21 36 8 16 30 44 54 29 46 18 32 22 62 44 40 60 35 34 68 67 65 57 49 28 75 43 70 49 49 61 62 74 65 55 74 52 43 43 54 53 85 55 54 68 83 65 61 75 59 96 84 102 75 105 7...

output:

776498470.545454545470420
845367821.166666666686069
804421351.000000000000000
993991162.500000000000000
997691534.000000000000000
748740642.833333333313931
701546392.299999999988358
990925095.000000000000000
849377614.000000000000000
841832931.000000000000000
821477508.000000000000000
628952586.7894...

result:

ok 200000 numbers

Test #90:

score: 40
Accepted
time: 160ms
memory: 47372kb

input:

200000
1 2 2 4 5 4 5 8 8 1 9 4 2 10 6 1 14 14 17 17 12 11 18 5 18 2 21 4 17 19 5 24 1 28 32 29 25 11 23 32 34 24 12 22 2 9 42 44 23 42 38 29 23 43 44 55 17 25 42 30 33 59 34 46 29 65 33 51 40 26 33 43 34 66 51 28 49 77 33 47 79 63 58 78 65 57 86 60 51 71 46 61 87 84 76 75 66 94 71 71 68 97 88 93 78 ...

output:

825602506.713793542934582
825623576.593558594817296
7868.000000000000000
825644647.626247415319085
2592841.307692307692378
42981.000000000000000
27514.000000000000000
2606301.465968586387589
2619862.031578947368644
42617.000000000000000
176798.000000000000000
2633679.641711229946623
43169.0000000000...

result:

ok 200000 numbers

Test #91:

score: 40
Accepted
time: 148ms
memory: 45160kb

input:

200000
1 2 1 1 5 3 4 7 6 1 4 8 10 5 3 1 5 12 13 8 21 15 17 23 7 15 1 1 2 24 31 28 27 14 24 9 31 28 38 33 13 8 33 40 27 26 35 3 44 46 2 32 33 5 54 48 47 32 55 59 28 26 62 57 59 22 55 19 62 41 49 38 24 59 63 47 57 54 41 79 62 56 61 56 55 46 59 84 59 82 78 87 79 63 91 82 97 74 83 75 82 85 100 74 58 103...

output:

825642231.009333572699688
825663402.708157037792262
825684581.174077019852120
417687.555555555555543
372505.000000000000000
198574.111111111111114
825705767.532513857644517
271163.500000000000000
92802.500000000000000
220311.875000000000000
48075.000000000000000
467746.625000000000000
116211.5000000...

result:

ok 200000 numbers

Test #92:

score: 40
Accepted
time: 174ms
memory: 44724kb

input:

200000
1 2 1 3 4 5 3 7 3 6 8 10 10 3 13 12 15 5 7 4 21 4 12 7 25 14 1 23 21 18 24 30 30 20 21 30 36 3 39 3 25 1 9 33 9 14 41 13 36 25 7 5 49 41 39 11 11 32 41 28 40 52 36 39 35 41 57 66 54 46 67 51 30 61 42 45 48 46 54 49 74 73 71 82 59 86 56 75 40 75 80 45 90 49 55 78 84 60 50 96 93 59 87 75 62 73 ...

output:

808351718.322351108770818
215820568.166666666671517
277479981.000000000000000
808373424.141541353194043
201341467.899999999994179
251410070.000000000000000
223710075.222222222218988
554938068.000000000000000
247989344.000000000000000
246649082.333333333328483
289761.250000000000000
376689.8888888888...

result:

ok 200000 numbers

Test #93:

score: 40
Accepted
time: 200ms
memory: 46304kb

input:

200000
1 1 3 3 2 2 2 5 3 3 11 9 3 1 10 14 6 12 18 11 9 22 6 9 1 6 25 13 9 4 28 5 1 11 28 8 34 33 1 3 7 24 2 38 26 13 18 46 47 18 23 13 4 36 8 41 17 41 34 30 55 15 31 41 55 21 67 66 29 33 45 41 42 25 59 74 42 40 33 78 64 62 62 63 61 61 73 65 45 63 66 62 93 88 67 92 61 55 73 70 87 93 70 87 58 57 69 65...

output:

887234856.666666666686069
476311884.000000000000000
917291902.000000000000000
479400032.250000000000000
900201530.000000000000000
563574207.500000000000000
407380253.000000000000000
391953584.000000000000000
621052278.885714285715949
822719473.000000000000000
680584622.000000000000000
997301535.0000...

result:

ok 200000 numbers

Test #94:

score: 40
Accepted
time: 226ms
memory: 45980kb

input:

200000
1 2 1 4 3 2 5 4 4 7 5 8 13 8 1 7 17 5 13 20 19 21 18 11 18 4 5 23 17 29 10 28 23 17 31 18 22 14 33 8 13 6 19 9 29 20 27 17 15 47 20 25 19 13 28 27 40 53 28 9 54 1 23 60 14 24 54 23 38 15 2 23 38 33 30 24 12 11 32 48 42 77 24 3 9 48 56 14 61 7 91 53 61 17 77 90 95 76 25 3 1 97 94 14 33 83 81 9...

output:

889004817.990196078433655
878169069.950000000011642
853644716.714285714260768
890420181.343434343405534
951380172.666666666686069
858995047.545454545470420
889405289.250000000000000
893269877.791666666686069
893488381.500000000000000
853784426.888888888875954
998241909.000000000000000
935190571.6666...

result:

ok 200000 numbers

Test #95:

score: 40
Accepted
time: 201ms
memory: 41216kb

input:

200000
1 1 1 1 2 2 1 4 7 9 6 10 13 13 9 1 2 8 15 6 9 3 21 14 17 20 9 28 3 24 27 20 14 3 28 22 27 13 24 12 14 11 9 2 2 30 4 31 40 43 7 42 39 5 32 2 22 47 5 5 38 50 6 18 15 35 32 51 54 30 15 26 68 35 6 45 2 18 66 70 59 32 50 55 26 9 47 18 52 69 60 89 11 61 95 55 51 39 71 27 38 81 12 69 64 91 105 69 48...

output:

653024367.685185185167938
651013523.236111111124046
660600636.522727272706106
631775125.512880562047940
617778213.972222222248092
632209182.706666666665114
650887426.000000000000000
688542982.222222222248092
633000986.013289036520291
662407841.673076923063491
635362403.622448979527690
616240421.6627...

result:

ok 200000 numbers

Test #96:

score: 40
Accepted
time: 192ms
memory: 45904kb

input:

200000
1 2 3 4 3 2 3 6 4 8 2 6 7 7 7 5 16 10 17 6 9 18 17 18 2 1 22 13 5 9 28 7 33 17 2 9 28 5 3 14 27 7 19 32 43 18 16 46 40 37 13 19 48 19 39 13 50 16 28 34 13 53 38 35 15 53 62 47 23 59 38 9 33 66 72 58 39 29 32 46 19 47 79 11 52 63 40 69 41 78 33 91 14 46 66 36 31 67 60 5 69 10 89 9 69 37 58 5 9...

output:

653977916.000000000000000
646617740.676880222861655
647692494.605882352916524
641729982.006802721065469
647232382.235955056152306
649773511.049180327856448
647724785.787401574780233
622547930.576470588217489
625337741.840909090882633
636830986.471153846243396
628197636.755555555573665
651730763.1707...

result:

ok 200000 numbers

Test #97:

score: 40
Accepted
time: 177ms
memory: 41096kb

input:

200000
1 1 3 2 3 2 6 7 2 4 8 7 9 5 2 3 1 1 2 10 9 13 12 19 19 17 16 27 7 20 31 2 28 13 31 18 11 15 10 27 35 10 35 3 33 26 16 32 49 32 49 49 5 41 44 37 21 32 4 58 28 15 18 16 52 28 17 43 8 33 42 28 60 42 32 60 7 51 63 65 14 25 11 66 13 31 19 34 62 14 9 63 86 77 92 66 59 58 31 67 72 85 64 31 72 21 49 ...

output:

676553361.004651162773371
681245951.345454545458779
660782319.538461538439151
658916168.919191919208970
631057602.183098591573071
675882926.586206896579824
689546834.775000000023283
643460543.375000000000000
713064626.750000000000000
668652803.357142857159488
659790856.931818181823473
635187547.7229...

result:

ok 200000 numbers

Test #98:

score: 40
Accepted
time: 227ms
memory: 43536kb

input:

200000
1 2 3 1 3 2 2 5 6 7 8 4 4 2 14 6 4 8 13 7 18 11 14 21 25 1 7 25 11 26 8 23 12 17 22 9 29 33 16 18 25 31 7 43 22 5 20 11 36 47 14 40 14 34 15 26 16 33 18 19 41 59 4 23 62 59 56 17 8 19 35 36 3 7 9 27 57 32 77 4 24 68 52 10 10 26 77 25 59 51 41 60 31 30 61 28 40 37 64 66 101 81 89 75 1 52 64 91...

output:

943028333.000000000000000
892565954.866666666639503
993830019.000000000000000
892921317.000000000000000
839909715.125000000000000
849552621.727272727293894
858745289.406250000000000
821243002.448979591834359
845491789.697368421067949
835031125.000000000000000
858129201.802816901414189
813630985.8947...

result:

ok 200000 numbers