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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#433698#8795. Mysterious Sequenceucup-team133#AC ✓1ms4024kbC++231.8kb2024-06-08 13:15:272024-06-08 13:15:28

Judging History

你现在查看的是最新测评结果

  • [2024-06-08 13:15:28]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:4024kb
  • [2024-06-08 13:15:27]
  • 提交

answer

#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif

template <class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) {
    for (auto& e : v) {
        is >> e;
    }
    return is;
}

template <class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
    for (std::string_view sep = ""; const auto& e : v) {
        os << std::exchange(sep, " ") << e;
    }
    return os;
}

template <class T, class U = T> bool chmin(T& x, U&& y) {
    return y < x and (x = std::forward<U>(y), true);
}

template <class T, class U = T> bool chmax(T& x, U&& y) {
    return x < y and (x = std::forward<U>(y), true);
}

template <class T> void mkuni(std::vector<T>& v) {
    std::ranges::sort(v);
    auto result = std::ranges::unique(v);
    v.erase(result.begin(), result.end());
}

template <class T> int lwb(const std::vector<T>& v, const T& x) {
    return std::distance(v.begin(), std::ranges::lower_bound(v, x));
}

using ll = long long;

using namespace std;

const double INF = 1e9;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(15);
    double A, B;
    int n, X_1, X_n;
    cin >> A >> B >> n >> X_1 >> X_n;

    auto calc = [&](double x) {
        double cur = x, pre = X_1;
        for (int i = 3; i <= n; i++) {
            double nxt = A * cur + B * pre;
            pre = cur;
            cur = nxt;
        }
        return cur;
    };
    double lb = -INF, ub = INF;
    for (int _ = 0; _ < 100; _++) {
        double mid = (lb + ub) / 2;
        (calc(mid) >= X_n ? ub : lb) = mid;
    }
    vector<double> X(n);
    X[0] = X_1, X[1] = ub;
    for (int i = 2; i < n; i++) X[i] = A * X[i - 1] + B * X[i - 2];

    for (auto& val : X) cout << val << '\n';
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3864kb

input:

1.0 1.0 10 1 10

output:

1.000000000000000
-0.323529411764706
0.676470588235294
0.352941176470588
1.029411764705882
1.382352941176471
2.411764705882353
3.794117647058824
6.205882352941178
10.000000000000002

result:

ok 10 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 4016kb

input:

1 1 2 1 100

output:

1.000000000000000
100.000000000000000

result:

ok 2 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

1 1 5 50 100

output:

50.000000000000000
-0.000000000000004
50.000000000000000
50.000000000000000
100.000000000000000

result:

ok 5 numbers

Test #4:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

0.25 0.25 10 1 1

output:

1.000000000000000
55.875536480686691
14.218884120171673
17.523605150214593
7.935622317596566
6.364806866952790
3.575107296137339
2.484978540772532
1.515021459227468
1.000000000000000

result:

ok 10 numbers

Test #5:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

0.25 0.63 6 93 12

output:

93.000000000000000
-14.204807958665050
55.038798010333743
4.810670488624455
35.877110368666372
12.000000000000000

result:

ok 6 numbers

Test #6:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

0.25 0.80 10 5 63

output:

5.000000000000000
78.769536183531329
23.692384045882832
68.938724958295779
36.188588476280216
64.198127085706687
45.000402552450851
62.608602306678065
51.652472618630199
63.000000000000000

result:

ok 10 numbers

Test #7:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

0.25 0.99 3 18 30

output:

18.000000000000000
48.719999999999992
30.000000000000000

result:

ok 3 numbers

Test #8:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

0.28 0.64 9 6 10

output:

6.000000000000000
20.950403348507802
9.706112937582185
16.125969765568005
10.727183814411640
13.324232117998783
10.596182634263108
11.494439693112891
10.000000000000000

result:

ok 9 numbers

Test #9:

score: 0
Accepted
time: 0ms
memory: 4012kb

input:

0.31 0.40 7 10 49

output:

10.000000000000000
240.115063998688242
78.435669839593359
120.361083249749242
68.686203743259611
69.437156460310177
49.000000000000000

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

0.32 0.28 5 36 6

output:

36.000000000000000
10.121376811594192
13.318840579710145
7.096014492753620
6.000000000000000

result:

ok 5 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

0.35 0.65 10 86 82

output:

86.000000000000000
79.533924786230841
83.736873675180789
81.004956897363328
82.780702802944674
81.626467964316802
82.376720609424922
81.889056390104642
82.206038132662826
82.000000000000000

result:

ok 10 numbers

Test #12:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

0.36 0.68 8 72 59

output:

72.000000000000000
38.239918642605694
62.726370711338049
48.584638133053573
60.144401811609157
54.689538582655729
60.586427121650296
59.000000000000000

result:

ok 8 numbers

Test #13:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

0.43 0.61 2 93 84

output:

93.000000000000000
84.000000000000000

result:

ok 2 numbers

Test #14:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

0.46 0.96 6 65 35

output:

65.000000000000000
-16.617423662818052
54.755985115103698
9.235026436642375
56.813857871355040
35.000000000000000

result:

ok 6 numbers

Test #15:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

0.50 0.90 4 19 1

output:

19.000000000000000
-6.565217391304349
13.817391304347828
1.000000000000000

result:

ok 4 numbers

Test #16:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

0.54 0.35 3 16 22

output:

16.000000000000000
30.370370370370363
22.000000000000000

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

0.55 0.89 10 74 13

output:

74.000000000000000
-48.321937076576511
39.282934607882915
-21.400909963817487
23.191311320916171
-6.291588641293668
17.179893322903872
3.849427436845767
17.407290147649618
13.000000000000023

result:

ok 10 numbers

Test #18:

score: 0
Accepted
time: 1ms
memory: 3900kb

input:

0.56 0.36 3 31 88

output:

31.000000000000000
137.214285714285722
88.000000000000014

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

0.57 0.93 7 71 48

output:

71.000000000000000
-34.080565361686020
46.604077743838971
-5.130601472379787
40.417349462513769
18.266429824319644
48.000000000000000

result:

ok 7 numbers

Test #20:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

0.58 0.41 8 30 69

output:

30.000000000000000
89.432121682809836
64.170630576029708
73.886135624049260
69.163917198120743
70.408387580770224
69.194070848076223
69.000000000000000

result:

ok 8 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

0.58 0.49 6 31 96

output:

31.000000000000000
99.557613538417172
72.933415852281954
91.084611828147956
88.566448627943970
96.000000000000000

result:

ok 6 numbers

Test #22:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

0.61 0.29 8 62 25

output:

62.000000000000000
34.407651257133715
38.968667266851568
33.749105897348230
31.887868104769375
29.238840254140303
27.083174305408704
25.000000000000000

result:

ok 8 numbers

Test #23:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

0.63 0.89 9 37 85

output:

37.000000000000000
-5.887853302176890
29.220652419628561
13.168821585428564
34.302738252289416
33.330976309973757
51.527952119821052
62.127178751363907
85.000000000000000

result:

ok 9 numbers

Test #24:

score: 0
Accepted
time: 1ms
memory: 3900kb

input:

0.64 0.67 2 74 42

output:

74.000000000000000
42.000000000000000

result:

ok 2 numbers

Test #25:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

0.65 0.56 2 94 96

output:

94.000000000000000
96.000000000000000

result:

ok 2 numbers

Test #26:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

0.65 0.90 10 97 23

output:

97.000000000000000
-61.703576279117549
47.192675418573586
-24.857979629132963
26.315721117779805
-5.266962939662793
20.260623095221007
8.429138366197140
23.713500723727048
23.000000000000007

result:

ok 10 numbers

Test #27:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

0.67 0.88 4 70 42

output:

70.000000000000000
0.547821506509137
61.967040409361125
42.000000000000000

result:

ok 4 numbers

Test #28:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

0.69 0.39 10 2 27

output:

2.000000000000000
22.365907687016133
16.212476304041132
19.909312647724676
20.060291485506067
21.606233057611810
22.731814489099513
24.111382889947269
25.502261844812423
27.000000000000007

result:

ok 10 numbers

Test #29:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

0.69 0.57 4 88 47

output:

88.000000000000000
11.843609597552824
58.332090622311441
47.000000000000000

result:

ok 4 numbers

Test #30:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

0.71 0.89 8 4 41

output:

4.000000000000000
6.838890362691072
8.415612157510662
12.061697054627622
16.053699728970102
22.133037186187359
30.002249160976415
41.000000000000000

result:

ok 8 numbers

Test #31:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

0.72 0.49 8 21 48

output:

21.000000000000000
19.940442369940310
24.647118506357025
27.516742085847810
31.889142369925366
36.443386128411689
41.864917773719846
48.000000000000014

result:

ok 8 numbers

Test #32:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

0.74 0.58 3 57 29

output:

57.000000000000000
-5.486486486486482
29.000000000000000

result:

ok 3 numbers

Test #33:

score: 0
Accepted
time: 0ms
memory: 4016kb

input:

0.76 0.70 2 91 18

output:

91.000000000000000
18.000000000000000

result:

ok 2 numbers

Test #34:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

0.77 0.36 10 31 25

output:

31.000000000000000
5.214972085026422
15.175528505470346
13.562546899821680
15.906351374832017
17.130407442556457
18.916700225707999
20.732805853115483
22.774272588153803
25.000000000000004

result:

ok 10 numbers

Test #35:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

0.77 0.96 8 78 68

output:

78.000000000000000
-40.097557007604969
44.004881104144168
-4.609896277109762
38.695065726603879
25.369700183459614
56.681932238803626
68.000000000000014

result:

ok 8 numbers

Test #36:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

0.78 0.52 7 73 77

output:

73.000000000000000
8.727547506052924
44.767487054721279
39.456964605830123
54.055525661002562
62.680931610613662
77.000000000000000

result:

ok 7 numbers

Test #37:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

0.78 0.69 4 42 97

output:

42.000000000000000
57.297905113986438
73.672365988909419
97.000000000000000

result:

ok 4 numbers

Test #38:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

0.78 0.70 10 54 99

output:

54.000000000000000
-13.012886350899697
27.649948646298235
12.457939498482839
29.072156861225380
31.396840000693786
44.840045003398920
56.953023103136815
75.811389522825962
99.000000000000014

result:

ok 10 numbers

Test #39:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

0.78 0.76 10 97 83

output:

97.000000000000000
-43.734736959040490
39.606905171948419
-2.345014054751001
28.272136967975019
20.270056153409755
37.297467895320622
44.497267634941501
63.053944355698050
83.000000000000028

result:

ok 10 numbers

Test #40:

score: 0
Accepted
time: 1ms
memory: 3924kb

input:

0.78 0.95 10 100 32

output:

100.000000000000000
-63.269578817364128
45.649728522455980
-24.499311628980251
24.257779025728581
-4.353278407462945
19.649332916621056
11.190865187874628
27.395741117332214
32.000000000000028

result:

ok 10 numbers

Test #41:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

0.79 0.90 10 98 42

output:

98.000000000000000
-58.246914628041360
42.184937443847325
-19.096122584597836
22.880506857630301
0.889090091389885
21.294837344065282
17.623102584062472
33.087604651068105
42.000000000000028

result:

ok 10 numbers

Test #42:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

0.81 0.48 10 97 1

output:

97.000000000000000
-38.257501681599209
15.571423637904633
-5.750747660464864
2.816177741217683
-0.479254906636811
0.963568841408671
0.550448406355354
0.908376253023999
1.000000000000009

result:

ok 10 numbers

Test #43:

score: 0
Accepted
time: 1ms
memory: 3780kb

input:

0.81 0.86 10 20 100

output:

20.000000000000000
-3.332842869651404
14.500397275582362
8.879076925321508
19.662393966511253
23.562545268650613
35.995320478806676
49.419998518872937
70.986174412060819
100.000000000000000

result:

ok 10 numbers

Test #44:

score: 0
Accepted
time: 1ms
memory: 3936kb

input:

0.84 0.85 10 74 95

output:

74.000000000000000
-36.290804877098289
32.415723903237435
-3.617976066814098
24.514265421627975
17.516703297375514
35.551156378179215
44.752169160439728
67.810305016221704
95.000000000000000

result:

ok 10 numbers

Test #45:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

0.88 0.37 10 3 96

output:

3.000000000000000
29.021828490376421
26.649209071531249
34.189380524386777
39.946862217926927
47.803309545798804
56.847251420935912
67.712805782369159
80.620752114231152
96.000000000000014

result:

ok 10 numbers

Test #46:

score: 0
Accepted
time: 1ms
memory: 3936kb

input:

0.91 0.50 10 100 98

output:

100.000000000000000
-22.586857854484425
29.445959352419173
15.502394083459235
28.830158292157492
33.986641087592936
45.342922535788318
58.255380051363844
75.683857114635259
98.000000000000000

result:

ok 10 numbers

Test #47:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

0.94 0.48 10 44 97

output:

44.000000000000000
-1.582743438717797
19.632221167605270
17.694571046964409
26.056362944597069
32.986375270464158
43.514246967642897
56.736852279407117
74.219479687111274
97.000000000000014

result:

ok 10 numbers

Test #48:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

0.94 0.54 10 28 95

output:

28.000000000000000
0.452546307145843
15.545393528717094
14.857044922852822
22.360134732988882
29.041330907350073
39.373323808723065
52.693243070168720
70.793243342669044
95.000000000000000

result:

ok 10 numbers

Test #49:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

0.95 0.57 10 2 94

output:

2.000000000000000
9.227284174161060
9.905919965453007
14.670175946452160
19.583041529437764
26.965889742443608
36.779928927100954
50.311489633938763
68.760474640689367
94.000000000000000

result:

ok 10 numbers

Test #50:

score: 0
Accepted
time: 1ms
memory: 3900kb

input:

0.98 0.90 10 21 99

output:

21.000000000000000
-8.213193484970176
10.851070384729230
3.242174840561487
12.943294690006564
15.602386152711771
26.939303650663444
40.442665115090769
63.879185098386060
99.000000000000028

result:

ok 10 numbers

Extra Test:

score: 0
Extra Test Passed