QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#407548 | #2303. Lucky Shirt | Andycipation | AC ✓ | 34ms | 4172kb | C++20 | 681b | 2024-05-08 23:21:07 | 2024-05-08 23:21:09 |
Judging History
answer
/*
* author: ADMathNoob
* created: 05/08/24 11:16:09
* problem: https://qoj.ac/problem/2303
*/
/*
Comments about problem:
*/
#include <bits/stdc++.h>
using namespace std;
#ifdef _DEBUG
#include "debug.h"
#else
#define debug(...) 42
#endif
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n, i, k;
cin >> n >> i >> k;
double prob_untouched = pow(1.0 * (i - 1) / n, k);
double ans = prob_untouched * i;
for (int mx = i; mx <= n; mx++) {
double p = pow(1.0 * mx / n, k) - pow(1.0 * (mx - 1) / n, k);
ans += p * (1.0 + mx) / 2;
}
cout.precision(10);
cout << fixed;
cout << ans << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 4004kb
input:
1000000 1000000 1000000
output:
683939.9446709047
result:
ok found '683939.9446709', expected '683939.9446710', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 4172kb
input:
1000000 1000000 1037
output:
999481.7690085794
result:
ok found '999481.7690086', expected '999481.7690090', error '0.0000000'
Test #3:
score: 0
Accepted
time: 27ms
memory: 4052kb
input:
1000000 12 1000000
output:
500000.2090121447
result:
ok found '500000.2090121', expected '500000.2090120', error '0.0000000'
Test #4:
score: 0
Accepted
time: 34ms
memory: 4120kb
input:
1000000 237 85
output:
494186.7965080852
result:
ok found '494186.7965081', expected '494186.7965080', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 4132kb
input:
106 45 1000000
output:
53.5000000000
result:
ok found '53.5000000', expected '53.5000000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
50 37 100
output:
25.4240931792
result:
ok found '25.4240932', expected '25.4240932', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 4120kb
input:
21686 3046 995802
output:
10843.5000000000
result:
ok found '10843.5000000', expected '10843.5000000', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 4080kb
input:
39229 8742 997007
output:
19615.0000000000
result:
ok found '19615.0000000', expected '19615.0000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 2ms
memory: 4096kb
input:
148554 16724 999818
output:
74277.4994022326
result:
ok found '74277.4994022', expected '74277.4994022', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 4056kb
input:
80456 71487 995120
output:
40228.4999978750
result:
ok found '40228.4999979', expected '40228.4999979', error '0.0000000'
Test #11:
score: 0
Accepted
time: 3ms
memory: 4008kb
input:
117463 21766 997364
output:
58731.9998973162
result:
ok found '58731.9998973', expected '58731.9998973', error '0.0000000'
Test #12:
score: 0
Accepted
time: 24ms
memory: 4092kb
input:
999503 76758 307028
output:
499750.6095195970
result:
ok found '499750.6095196', expected '499750.6095200', error '0.0000000'
Test #13:
score: 0
Accepted
time: 12ms
memory: 4092kb
input:
994858 683723 5182
output:
497333.7766014122
result:
ok found '497333.7766014', expected '497333.7766010', error '0.0000000'
Test #14:
score: 0
Accepted
time: 26ms
memory: 3936kb
input:
997293 36211 244780
output:
498645.2026706366
result:
ok found '498645.2026706', expected '498645.2026710', error '0.0000000'
Test #15:
score: 0
Accepted
time: 25ms
memory: 4132kb
input:
991863 65853 526084
output:
495931.2853197203
result:
ok found '495931.2853197', expected '495931.2853200', error '0.0000000'
Test #16:
score: 0
Accepted
time: 7ms
memory: 3860kb
input:
994039 753788 273551
output:
497018.4216376412
result:
ok found '497018.4216376', expected '497018.4216380', error '0.0000000'
Test #17:
score: 0
Accepted
time: 3ms
memory: 4128kb
input:
958204 885361 135247
output:
479099.2017246630
result:
ok found '479099.2017247', expected '479099.2017250', error '0.0000000'
Test #18:
score: 0
Accepted
time: 7ms
memory: 4092kb
input:
297436 61097 444330
output:
148718.3552531778
result:
ok found '148718.3552532', expected '148718.3552530', error '0.0000000'
Test #19:
score: 0
Accepted
time: 16ms
memory: 4112kb
input:
768783 189461 884754
output:
384391.7686131534
result:
ok found '384391.7686132', expected '384391.7686130', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3940kb
input:
435555 413369 655561
output:
217777.8573340476
result:
ok found '217777.8573340', expected '217777.8573340', error '0.0000000'
Test #21:
score: 0
Accepted
time: 1ms
memory: 4136kb
input:
122448 112932 844422
output:
61224.4994936748
result:
ok found '61224.4994937', expected '61224.4994937', error '0.0000000'
Test #22:
score: 0
Accepted
time: 34ms
memory: 4048kb
input:
896568 62973 576
output:
447507.8279628329
result:
ok found '447507.8279628', expected '447507.8279630', error '0.0000000'
Test #23:
score: 0
Accepted
time: 15ms
memory: 3860kb
input:
708723 316081 882
output:
353960.9345461077
result:
ok found '353960.9345461', expected '353960.9345460', error '0.0000000'
Test #24:
score: 0
Accepted
time: 7ms
memory: 3864kb
input:
469986 288497 752
output:
234681.6742361204
result:
ok found '234681.6742361', expected '234681.6742360', error '0.0000000'
Test #25:
score: 0
Accepted
time: 16ms
memory: 4168kb
input:
559630 106765 24
output:
268623.1499982140
result:
ok found '268623.1499982', expected '268623.1499980', error '0.0000000'
Test #26:
score: 0
Accepted
time: 1ms
memory: 4116kb
input:
917620 902513 679
output:
458141.7778092854
result:
ok found '458141.7778093', expected '458141.7778090', error '0.0000000'
Test #27:
score: 0
Accepted
time: 2ms
memory: 4004kb
input:
55994 5 897051
output:
27997.4999999449
result:
ok found '27997.4999999', expected '27997.4999999', error '0.0000000'
Test #28:
score: 0
Accepted
time: 16ms
memory: 4128kb
input:
561712 11 276799
output:
280855.7148970470
result:
ok found '280855.7148970', expected '280855.7148970', error '0.0000000'
Test #29:
score: 0
Accepted
time: 4ms
memory: 4168kb
input:
144541 4 482923
output:
72270.9816513503
result:
ok found '72270.9816514', expected '72270.9816514', error '0.0000000'
Test #30:
score: 0
Accepted
time: 21ms
memory: 3936kb
input:
775447 6 189129
output:
387722.1898106848
result:
ok found '387722.1898107', expected '387722.1898110', error '0.0000000'
Test #31:
score: 0
Accepted
time: 13ms
memory: 4088kb
input:
473744 1 257880
output:
236871.8088980077
result:
ok found '236871.8088980', expected '236871.8088980', error '0.0000000'
Test #32:
score: 0
Accepted
time: 5ms
memory: 4096kb
input:
146665 231 17
output:
69259.2222173924
result:
ok found '69259.2222174', expected '69259.2222174', error '0.0000000'
Test #33:
score: 0
Accepted
time: 7ms
memory: 4088kb
input:
182820 164 21
output:
87255.7499952138
result:
ok found '87255.7499952', expected '87255.7499952', error '0.0000000'
Test #34:
score: 0
Accepted
time: 2ms
memory: 4092kb
input:
57701 34 58
output:
28362.2584326937
result:
ok found '28362.2584327', expected '28362.2584327', error '0.0000000'
Test #35:
score: 0
Accepted
time: 24ms
memory: 4048kb
input:
688027 94 69
output:
339099.7714243920
result:
ok found '339099.7714244', expected '339099.7714240', error '0.0000000'
Test #36:
score: 0
Accepted
time: 24ms
memory: 4088kb
input:
686925 88 73
output:
338821.8648604379
result:
ok found '338821.8648604', expected '338821.8648600', error '0.0000000'
Test #37:
score: 0
Accepted
time: 0ms
memory: 4132kb
input:
13 13 553768
output:
7.0000000000
result:
ok found '7.0000000', expected '7.0000000', error '0.0000000'
Test #38:
score: 0
Accepted
time: 0ms
memory: 4120kb
input:
59 31 791280
output:
30.0000000000
result:
ok found '30.0000000', expected '30.0000000', error '0.0000000'
Test #39:
score: 0
Accepted
time: 0ms
memory: 4052kb
input:
2 1 356578
output:
1.5000000000
result:
ok found '1.5000000', expected '1.5000000', error '0.0000000'
Test #40:
score: 0
Accepted
time: 1ms
memory: 4120kb
input:
60 35 892955
output:
30.5000000000
result:
ok found '30.5000000', expected '30.5000000', error '0.0000000'
Test #41:
score: 0
Accepted
time: 0ms
memory: 4044kb
input:
56 16 895986
output:
28.5000000000
result:
ok found '28.5000000', expected '28.5000000', error '0.0000000'
Test #42:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
10 6 78
output:
5.4998651254
result:
ok found '5.4998651', expected '5.4998651', error '0.0000000'
Test #43:
score: 0
Accepted
time: 0ms
memory: 4168kb
input:
15 13 60
output:
7.9919510173
result:
ok found '7.9919510', expected '7.9919510', error '0.0000000'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
29 26 53
output:
14.9140837633
result:
ok found '14.9140838', expected '14.9140838', error '0.0000000'
Test #45:
score: 0
Accepted
time: 0ms
memory: 4112kb
input:
45 20 8
output:
20.7535266330
result:
ok found '20.7535266', expected '20.7535266', error '0.0000000'
Test #46:
score: 0
Accepted
time: 0ms
memory: 4100kb
input:
31 11 20
output:
15.4851814178
result:
ok found '15.4851814', expected '15.4851814', error '0.0000000'
Test #47:
score: 0
Accepted
time: 0ms
memory: 4056kb
input:
1 1 55
output:
1.0000000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'