QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#88328 | #2303. Lucky Shirt | Bitroll | AC ✓ | 888ms | 3744kb | C++11 | 972b | 2023-03-15 21:54:46 | 2023-03-15 21:54:47 |
Judging History
answer
#include<bits/stdc++.h>
#include <cmath>
#include <math.h>
using namespace std;
// debug util
#ifdef DEBUG
#define deb(x) cerr << #x << " = " << x << endl
#else
#define deb(x)
#endif
// useful
#define ll long long
#define ld long double
#define umap unordered_map
bool multi = false;
void solve(){
// get inputs
ll n, pos, k;
ld prob, expPos;
cin >> n >> pos >> k;
// case 1 keep the same position
prob = (pos - 1) * ((ld)1 / n);
prob = powl(prob, k);
expPos = prob * pos;
deb(expPos);
// case 2 get shuffled
for (ll i = pos; i <= n; i++)
{
prob = powl( (ld)i / n, k );
prob -= powl( (ld)(i-1) / n, k );
expPos += prob * ((ld)(i+1) / 2);
deb(i);
deb(expPos);
}
cout << fixed << setprecision(9) << expPos << endl;
}
int main(){
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int t=1;
if(multi)cin>>t;
while(t--)solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3668kb
input:
1000000 1000000 1000000
output:
683939.944676199
result:
ok found '683939.9446762', expected '683939.9446710', error '0.0000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3616kb
input:
1000000 1000000 1037
output:
999481.769008594
result:
ok found '999481.7690086', expected '999481.7690090', error '0.0000000'
Test #3:
score: 0
Accepted
time: 888ms
memory: 3684kb
input:
1000000 12 1000000
output:
500000.209012145
result:
ok found '500000.2090121', expected '500000.2090120', error '0.0000000'
Test #4:
score: 0
Accepted
time: 566ms
memory: 3592kb
input:
1000000 237 85
output:
494186.796508086
result:
ok found '494186.7965081', expected '494186.7965080', error '0.0000000'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3556kb
input:
106 45 1000000
output:
53.500000000
result:
ok found '53.5000000', expected '53.5000000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
50 37 100
output:
25.424093179
result:
ok found '25.4240932', expected '25.4240932', error '0.0000000'
Test #7:
score: 0
Accepted
time: 18ms
memory: 3584kb
input:
21686 3046 995802
output:
10843.500000000
result:
ok found '10843.5000000', expected '10843.5000000', error '0.0000000'
Test #8:
score: 0
Accepted
time: 28ms
memory: 3652kb
input:
39229 8742 997007
output:
19615.000000000
result:
ok found '19615.0000000', expected '19615.0000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 118ms
memory: 3728kb
input:
148554 16724 999818
output:
74277.499402233
result:
ok found '74277.4994022', expected '74277.4994022', error '0.0000000'
Test #10:
score: 0
Accepted
time: 10ms
memory: 3596kb
input:
80456 71487 995120
output:
40228.499997875
result:
ok found '40228.4999979', expected '40228.4999979', error '0.0000000'
Test #11:
score: 0
Accepted
time: 86ms
memory: 3672kb
input:
117463 21766 997364
output:
58731.999897316
result:
ok found '58731.9998973', expected '58731.9998973', error '0.0000000'
Test #12:
score: 0
Accepted
time: 817ms
memory: 3592kb
input:
999503 76758 307028
output:
499750.609519597
result:
ok found '499750.6095196', expected '499750.6095200', error '0.0000000'
Test #13:
score: 0
Accepted
time: 175ms
memory: 3592kb
input:
994858 683723 5182
output:
497333.776601412
result:
ok found '497333.7766014', expected '497333.7766010', error '0.0000000'
Test #14:
score: 0
Accepted
time: 861ms
memory: 3736kb
input:
997293 36211 244780
output:
498645.202670637
result:
ok found '498645.2026706', expected '498645.2026710', error '0.0000000'
Test #15:
score: 0
Accepted
time: 824ms
memory: 3640kb
input:
991863 65853 526084
output:
495931.285319720
result:
ok found '495931.2853197', expected '495931.2853200', error '0.0000000'
Test #16:
score: 0
Accepted
time: 214ms
memory: 3592kb
input:
994039 753788 273551
output:
497018.421637634
result:
ok found '497018.4216376', expected '497018.4216380', error '0.0000000'
Test #17:
score: 0
Accepted
time: 38ms
memory: 3624kb
input:
958204 885361 135247
output:
479099.201724660
result:
ok found '479099.2017247', expected '479099.2017250', error '0.0000000'
Test #18:
score: 0
Accepted
time: 208ms
memory: 3592kb
input:
297436 61097 444330
output:
148718.355253178
result:
ok found '148718.3552532', expected '148718.3552530', error '0.0000000'
Test #19:
score: 0
Accepted
time: 513ms
memory: 3688kb
input:
768783 189461 884754
output:
384391.768613153
result:
ok found '384391.7686132', expected '384391.7686130', error '0.0000000'
Test #20:
score: 0
Accepted
time: 21ms
memory: 3592kb
input:
435555 413369 655561
output:
217777.857334048
result:
ok found '217777.8573340', expected '217777.8573340', error '0.0000000'
Test #21:
score: 0
Accepted
time: 10ms
memory: 3680kb
input:
122448 112932 844422
output:
61224.499493675
result:
ok found '61224.4994937', expected '61224.4994937', error '0.0000000'
Test #22:
score: 0
Accepted
time: 479ms
memory: 3680kb
input:
896568 62973 576
output:
447507.827962833
result:
ok found '447507.8279628', expected '447507.8279630', error '0.0000000'
Test #23:
score: 0
Accepted
time: 226ms
memory: 3744kb
input:
708723 316081 882
output:
353960.934546108
result:
ok found '353960.9345461', expected '353960.9345460', error '0.0000000'
Test #24:
score: 0
Accepted
time: 104ms
memory: 3628kb
input:
469986 288497 752
output:
234681.674236120
result:
ok found '234681.6742361', expected '234681.6742360', error '0.0000000'
Test #25:
score: 0
Accepted
time: 258ms
memory: 3672kb
input:
559630 106765 24
output:
268623.149998213
result:
ok found '268623.1499982', expected '268623.1499980', error '0.0000000'
Test #26:
score: 0
Accepted
time: 7ms
memory: 3724kb
input:
917620 902513 679
output:
458141.777809286
result:
ok found '458141.7778093', expected '458141.7778090', error '0.0000000'
Test #27:
score: 0
Accepted
time: 51ms
memory: 3596kb
input:
55994 5 897051
output:
27997.499999945
result:
ok found '27997.4999999', expected '27997.4999999', error '0.0000000'
Test #28:
score: 0
Accepted
time: 499ms
memory: 3592kb
input:
561712 11 276799
output:
280855.714897047
result:
ok found '280855.7148970', expected '280855.7148970', error '0.0000000'
Test #29:
score: 0
Accepted
time: 129ms
memory: 3588kb
input:
144541 4 482923
output:
72270.981651350
result:
ok found '72270.9816513', expected '72270.9816514', error '0.0000000'
Test #30:
score: 0
Accepted
time: 692ms
memory: 3656kb
input:
775447 6 189129
output:
387722.189810685
result:
ok found '387722.1898107', expected '387722.1898110', error '0.0000000'
Test #31:
score: 0
Accepted
time: 419ms
memory: 3636kb
input:
473744 1 257880
output:
236871.808898008
result:
ok found '236871.8088980', expected '236871.8088980', error '0.0000000'
Test #32:
score: 0
Accepted
time: 81ms
memory: 3692kb
input:
146665 231 17
output:
69259.222217393
result:
ok found '69259.2222174', expected '69259.2222174', error '0.0000000'
Test #33:
score: 0
Accepted
time: 106ms
memory: 3588kb
input:
182820 164 21
output:
87255.749995214
result:
ok found '87255.7499952', expected '87255.7499952', error '0.0000000'
Test #34:
score: 0
Accepted
time: 35ms
memory: 3736kb
input:
57701 34 58
output:
28362.258432694
result:
ok found '28362.2584327', expected '28362.2584327', error '0.0000000'
Test #35:
score: 0
Accepted
time: 409ms
memory: 3692kb
input:
688027 94 69
output:
339099.771424393
result:
ok found '339099.7714244', expected '339099.7714240', error '0.0000000'
Test #36:
score: 0
Accepted
time: 391ms
memory: 3672kb
input:
686925 88 73
output:
338821.864860437
result:
ok found '338821.8648604', expected '338821.8648600', error '0.0000000'
Test #37:
score: 0
Accepted
time: 2ms
memory: 3688kb
input:
13 13 553768
output:
7.000000000
result:
ok found '7.0000000', expected '7.0000000', error '0.0000000'
Test #38:
score: 0
Accepted
time: 2ms
memory: 3700kb
input:
59 31 791280
output:
30.000000000
result:
ok found '30.0000000', expected '30.0000000', error '0.0000000'
Test #39:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
2 1 356578
output:
1.500000000
result:
ok found '1.5000000', expected '1.5000000', error '0.0000000'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
60 35 892955
output:
30.500000000
result:
ok found '30.5000000', expected '30.5000000', error '0.0000000'
Test #41:
score: 0
Accepted
time: 2ms
memory: 3688kb
input:
56 16 895986
output:
28.500000000
result:
ok found '28.5000000', expected '28.5000000', error '0.0000000'
Test #42:
score: 0
Accepted
time: 2ms
memory: 3724kb
input:
10 6 78
output:
5.499865125
result:
ok found '5.4998651', expected '5.4998651', error '0.0000000'
Test #43:
score: 0
Accepted
time: 2ms
memory: 3700kb
input:
15 13 60
output:
7.991951017
result:
ok found '7.9919510', expected '7.9919510', error '0.0000000'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3560kb
input:
29 26 53
output:
14.914083763
result:
ok found '14.9140838', expected '14.9140838', error '0.0000000'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
45 20 8
output:
20.753526633
result:
ok found '20.7535266', expected '20.7535266', error '0.0000000'
Test #46:
score: 0
Accepted
time: 2ms
memory: 3552kb
input:
31 11 20
output:
15.485181418
result:
ok found '15.4851814', expected '15.4851814', error '0.0000000'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
1 1 55
output:
1.000000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'