QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#539784 | #8795. Mysterious Sequence | HTensor# | AC ✓ | 0ms | 3936kb | C++17 | 1.1kb | 2024-08-31 15:40:41 | 2024-08-31 15:40:41 |
Judging History
answer
#include <bits/stdc++.h>
#define dd(x) cout << #x << "\n"
#define d(x) cout << #x << ": " << x << "\n"
using namespace std;
#define int long long
using pii = pair<int, int>;
using vpii = vector<pii>;
using vi = vector<int>;
using vii = vector<vector<int>>;
using a3 = array<int, 3>;
const int inf = 0x3f3f3f3f3f3f3f3fLL;
const double eps = 1e-8;
int n; double X1, XN;
double A, B;
double f[11];
bool check(double x) {
f[2] = x;
for(int i = 3; i <= n; i++) {
f[i] = A * f[i - 1] + B * f[i - 2];
}
return f[n] < XN;
}
void solve() {
cin >> A >> B;
cin >> n >> X1 >> XN;
f[1] = X1;
double l = -9999999999, r = 9999999999;
while(fabs(r - l) > eps) {
double mid = (l + r) / 2;
if(check(mid)) {
l = mid;
} else {
r = mid;
}
}
check(r);
for(int i = 1; i <= n; i++) {
cout << f[i] << endl;
}
}
signed main() {
ios::sync_with_stdio(false); cin.tie(0);
cout << fixed << setprecision(10);
int T = 1;
while(T--) solve();
return 0;
}
/*
1.0 1.0 10 1 10
*/
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: 0ms
memory: 3928kb
input:
1.0 1.0 10 1 10
output:
1.0000000000 -0.3235294064 0.6764705936 0.3529411873 1.0294117809 1.3823529682 2.4117647491 3.7941177173 6.2058824665 10.0000001838
result:
ok 10 numbers
Test #2:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
1 1 2 1 100
output:
1.0000000000 100.0000000068
result:
ok 2 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
1 1 5 50 100
output:
50.0000000000 0.0000000000 50.0000000000 50.0000000000 100.0000000000
result:
ok 5 numbers
Test #4:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
0.25 0.25 10 1 1
output:
1.0000000000 55.8755364837 14.2188841209 17.5236051512 7.9356223180 6.3648068673 3.5751072963 2.4849785409 1.5150214593 1.0000000001
result:
ok 10 numbers
Test #5:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
0.25 0.63 6 93 12
output:
93.0000000000 -14.2048079535 55.0387980116 4.8106704922 35.8771103704 12.0000000027
result:
ok 6 numbers
Test #6:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
0.25 0.80 10 5 63
output:
5.0000000000 78.7695361896 23.6923840474 68.9387249635 36.1885884788 64.1981270905 45.0004025557 62.6086023114 51.6524726224 63.0000000047
result:
ok 10 numbers
Test #7:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
0.25 0.99 3 18 30
output:
18.0000000000 48.7200000086 30.0000000022
result:
ok 3 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
0.28 0.64 9 6 10
output:
6.0000000000 20.9504033545 9.7061129393 16.1259697699 10.7271838167 13.3242321214 10.5961826367 11.4944396960 10.0000000023
result:
ok 9 numbers
Test #9:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
0.31 0.40 7 10 49
output:
10.0000000000 240.1150640058 78.4356698418 120.3610832533 68.6862037452 69.4371564623 49.0000000014
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
0.32 0.28 5 36 6
output:
36.0000000000 10.1213768172 13.3188405815 7.0960144949 6.0000000012
result:
ok 5 numbers
Test #11:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
0.35 0.65 10 86 82
output:
86.0000000000 79.5339247940 83.7368736779 81.0049569034 82.7807028068 81.6264679696 82.3767206138 81.8890563951 82.2060381372 82.0000000048
result:
ok 10 numbers
Test #12:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
0.36 0.68 8 72 59
output:
72.0000000000 38.2399186496 62.7263707139 48.5846381388 60.1444018154 54.6895385879 60.5864271261 59.0000000052
result:
ok 8 numbers
Test #13:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
0.43 0.61 2 93 84
output:
93.0000000000 84.0000000029
result:
ok 2 numbers
Test #14:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
0.46 0.96 6 65 35
output:
65.0000000000 -16.6174236594 54.7559851167 9.2350264406 56.8138578747 35.0000000054
result:
ok 6 numbers
Test #15:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
0.50 0.90 4 19 1
output:
19.0000000000 -6.5652173882 13.8173913059 1.0000000036
result:
ok 4 numbers
Test #16:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
0.54 0.35 3 16 22
output:
16.0000000000 30.3703703735 22.0000000017
result:
ok 3 numbers
Test #17:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
0.55 0.89 10 74 13
output:
74.0000000000 -48.3219370719 39.2829346105 -21.4009099582 23.1913113263 -6.2915886333 17.1798933321 3.8494274490 17.4072901625 13.0000000189
result:
ok 10 numbers
Test #18:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
0.56 0.36 3 31 88
output:
31.0000000000 137.2142857185 88.0000000024
result:
ok 3 numbers
Test #19:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
0.57 0.93 7 71 48
output:
71.0000000000 -34.0805653542 46.6040777481 -5.1306014630 40.4173494718 18.2664298383 48.0000000166
result:
ok 7 numbers
Test #20:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
0.58 0.41 8 30 69
output:
30.0000000000 89.4321216906 64.1706305805 73.8861356299 69.1639172033 70.4083875862 69.1940708533 69.0000000053
result:
ok 8 numbers
Test #21:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
0.58 0.49 6 31 96
output:
31.0000000000 99.5576135408 72.9334158537 91.0846118301 88.5664486298 96.0000000020
result:
ok 6 numbers
Test #22:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
0.61 0.29 8 62 25
output:
62.0000000000 34.4076512647 38.9686672714 33.7491059023 31.8878681091 29.2388402582 27.0831743092 25.0000000035
result:
ok 8 numbers
Test #23:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
0.63 0.89 9 37 85
output:
37.0000000000 -5.8878532946 29.2206524244 13.1688215952 34.3027382627 33.3309763252 51.5279521386 62.1271787768 85.0000000328
result:
ok 9 numbers
Test #24:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
0.64 0.67 2 74 42
output:
74.0000000000 42.0000000014
result:
ok 2 numbers
Test #25:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
0.65 0.56 2 94 96
output:
94.0000000000 96.0000000058
result:
ok 2 numbers
Test #26:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
0.65 0.90 10 97 23
output:
97.0000000000 -61.7035762787 47.1926754188 -24.8579796286 26.3157211184 -5.2669629388 20.2606230963 8.4291383676 23.7135007256 23.0000000025
result:
ok 10 numbers
Test #27:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
0.67 0.88 4 70 42
output:
70.0000000000 0.5478215103 61.9670404119 42.0000000051
result:
ok 4 numbers
Test #28:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
0.69 0.39 10 2 27
output:
2.0000000000 22.3659076914 16.2124763070 19.9093126515 20.0602914893 21.6062330617 22.7318144934 24.1113828945 25.5022618496 27.0000000051
result:
ok 10 numbers
Test #29:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
0.69 0.57 4 88 47
output:
88.0000000000 11.8436095988 58.3320906232 47.0000000013
result:
ok 4 numbers
Test #30:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
0.71 0.89 8 4 41
output:
4.0000000000 6.8388903648 8.4156121590 12.0616970575 16.0536997324 22.1330371912 30.0022491676 41.0000000091
result:
ok 8 numbers
Test #31:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
0.72 0.49 8 21 48
output:
21.0000000000 19.9404423769 24.6471185114 27.5167420929 31.8891423774 36.4433861373 41.8649177838 48.0000000116
result:
ok 8 numbers
Test #32:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
0.74 0.58 3 57 29
output:
57.0000000000 -5.4864864816 29.0000000036
result:
ok 3 numbers
Test #33:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
0.76 0.70 2 91 18
output:
91.0000000000 18.0000000043
result:
ok 2 numbers
Test #34:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
0.77 0.36 10 31 25
output:
31.0000000000 5.2149720908 15.1755285099 13.5625469053 15.9063513807 17.1304074490 18.9167002328 20.7328058609 22.7742725967 25.0000000094
result:
ok 10 numbers
Test #35:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
0.77 0.96 8 78 68
output:
78.0000000000 -40.0975570068 44.0048811047 -4.6098962759 38.6950657281 25.3697001858 56.6819322420 68.0000000047
result:
ok 8 numbers
Test #36:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
0.78 0.52 7 73 77
output:
73.0000000000 8.7275475119 44.7674870593 39.4569646125 54.0555256686 62.6809316200 77.0000000112
result:
ok 7 numbers
Test #37:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
0.78 0.69 4 42 97
output:
42.0000000000 57.2979051214 73.6723659947 97.0000000096
result:
ok 4 numbers
Test #38:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
0.78 0.70 10 54 99
output:
54.0000000000 -13.0128863488 27.6499486480 12.4579395013 29.0721568646 31.3968400053 44.8400450093 56.9530231109 75.8113895330 99.0000000134
result:
ok 10 numbers
Test #39:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
0.78 0.76 10 97 83
output:
97.0000000000 -43.7347369561 39.6069051743 -2.3450140507 28.2721369729 20.2700561604 37.2974679045 44.4972676474 63.0539443724 83.0000000225
result:
ok 10 numbers
Test #40:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
0.78 0.95 10 100 32
output:
100.0000000000 -63.2695788145 45.6497285247 -24.4993116246 24.2577790312 -4.3532783990 19.6493329285 11.1908652052 27.3957411421 32.0000000357
result:
ok 10 numbers
Test #41:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
0.79 0.90 10 98 42
output:
98.0000000000 -58.2469146208 42.1849374496 -19.0961225735 22.8805068716 0.8890901124 21.2948373732 17.6231026259 33.0876047103 42.0000000845
result:
ok 10 numbers
Test #42:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
0.81 0.48 10 97 1
output:
97.0000000000 -38.2575016767 15.5714236419 -5.7507476549 2.8161777476 -0.4792548988 0.9635688509 0.5504484178 0.9083762668 1.0000000167
result:
ok 10 numbers
Test #43:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
0.81 0.86 10 20 100
output:
20.0000000000 -3.3328428642 14.5003972800 8.8790769336 19.6623939770 23.5625452842 35.9953205005 49.4199985498 70.9861744557 100.0000000620
result:
ok 10 numbers
Test #44:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
0.84 0.85 10 74 95
output:
74.0000000000 -36.2908048715 32.4157239080 -3.6179760581 24.5142654330 17.5167033144 35.5511564021 44.7521691950 67.8103050655 95.0000000708
result:
ok 10 numbers
Test #45:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
0.88 0.37 10 3 96
output:
3.0000000000 29.0218284965 26.6492090769 34.1893805314 39.9468622261 47.8033095556 56.8472514326 67.7128057963 80.6207521308 96.0000000197
result:
ok 10 numbers
Test #46:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
0.91 0.50 10 100 98
output:
100.0000000000 -22.5868578505 29.4459593560 15.5023940887 28.8301582987 33.9866410962 45.3429225469 58.2553800657 75.6838571332 98.0000000241
result:
ok 10 numbers
Test #47:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
0.94 0.48 10 44 97
output:
44.0000000000 -1.5827434327 19.6322211733 17.6945710552 26.0563629551 32.9863752842 43.5142469856 56.7368523029 74.2194797178 97.0000000402
result:
ok 10 numbers
Test #48:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
0.94 0.54 10 28 95
output:
28.0000000000 0.4525463077 15.5453935292 14.8570449236 22.3601347340 29.0413309087 39.3733238105 52.6932430725 70.7932433459 95.0000000043
result:
ok 10 numbers
Test #49:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
0.95 0.57 10 2 94
output:
2.0000000000 9.2272841789 9.9059199699 14.6701759534 19.5830415386 26.9658897551 36.7799289443 50.3114896575 68.7604746729 94.0000000440
result:
ok 10 numbers
Test #50:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
0.98 0.90 10 21 99
output:
21.0000000000 -8.2131934839 10.8510703858 3.2421748426 12.9432946930 15.6023861575 26.9393036580 40.4426651265 63.8791851162 99.0000000278
result:
ok 10 numbers
Extra Test:
score: 0
Extra Test Passed