QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#433698 | #8795. Mysterious Sequence | ucup-team133# | AC ✓ | 1ms | 4024kb | C++23 | 1.8kb | 2024-06-08 13:15:27 | 2024-06-08 13:15:28 |
Judging History
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?
Details
Tip: Click on the bar to expand more detailed information
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