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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#578106#6423. Fireworkslibantian#AC ✓50ms4184kbC++23759b2024-09-20 16:38:472024-09-20 16:38:47

Judging History

你现在查看的是最新测评结果

  • [2024-09-20 16:38:47]
  • 评测
  • 测评结果:AC
  • 用时:50ms
  • 内存:4184kb
  • [2024-09-20 16:38:47]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define fi first
#define se second
#define all(_a) _a.begin(),_a.end()

const double eps=1e-9;
double n,m;
double p;
double f(int x){
    return ((n*x+m)*1.0)/(1.0-pow(1.0-p,x));
}
void solve(){
    cin>>n>>m>>p;
    p*=0.0001;
    double l=0.0,r=1e9;
    while(r-l>eps){
        double m1=l+(r-l)/3;
        double m2=r-(r-l)/3;
        if(f(m1)>f(m2)) l=m1;
        else r=m2;
    }
    cout<<min(f(l),f(l+1))<<endl;

}
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr),cin.tie(nullptr);
    cout << setiosflags(ios::fixed) << setprecision(15);
    int T=1;
    cin>>T;
    while(T--)solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4180kb

input:

3
1 1 5000
1 1 1
1 2 10000

output:

4.000000000000000
10141.585289114695115
3.000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1ms
memory: 4144kb

input:

20
10 27 2855
79 59 6888
65 72 7725
78 50 2888
31 21 5759
41 58 6619
47 27 3881
35 55 5095
77 7 6028
17 89 1792
84 60 8604
58 44 4923
88 27 3824
54 63 1482
19 42 5366
93 76 97
100 99 8660
96 36 4343
90 56 9515
24 44 9922

output:

89.729805650547988
200.348432055749100
177.346278317152098
416.839877800354600
90.293453724604959
149.569421362743611
190.672507085802636
164.601521115576901
139.349701393497014
275.133110248423009
167.364016736401652
207.190737355271182
300.732217573221703
589.058848950519405
101.877028212448849
10...

result:

ok 20 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 4184kb

input:

10
954269343 987322500 9806
916720797 981711601 9728
902477101 957414437 9250
967013471 988735825 9674
985383693 926528961 9411
970653208 917703218 9331
998423148 911924940 9283
986159007 902133513 9759
953796828 947934512 9959
995334734 931874197 9944

output:

1980003919.029165744781494
1951513567.023026227951050
2010693554.594594478607178
2021655257.390944719314575
2031572260.121134757995605
2023744964.098167419433594
2057899480.771302461624146
1934924193.052566766738892
1909560538.206647157669067
1938062078.640386104583740

result:

ok 10 numbers

Test #4:

score: 0
Accepted
time: 0ms
memory: 4144kb

input:

10
933722894 72 9673
975866948 5 9424
910984544 95 9682
994597175 6 9351
972675086 51 9712
952759975 51 9114
956482031 85 9478
921988922 72 9017
950640658 36 9893
965297247 78 9342

output:

965287879.665046930313110
1035512471.349745273590088
940905431.728981614112854
1063626543.685167312622070
1001518880.766062498092651
1045380761.465876579284668
1009160282.760075926780701
1022500825.108129024505615
960922565.450318336486816
1033287652.536929965019226

result:

ok 10 numbers

Test #5:

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

input:

10
910088095 81 316
970640211 35 537
908853334 41 89
932269507 8 457
953224740 22 113
959834859 69 34
924852390 63 115
952730384 97 382
917634328 91 20
937287266 32 654

output:

28800258734.177249908447266
18075237355.679710388183594
102118356741.572814941406250
20399770568.927806854248047
84356173628.318756103515625
282304390588.238708496093750
80421952434.782928466796875
24940588507.853397369384766
458817209499.999572753906250
14331610061.162076950073242

result:

ok 10 numbers

Test #6:

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

input:

10
968675373 962412132 104
923494255 934310785 381
922721350 957856460 282
978335370 917228676 825
951116860 942542480 359
999013758 972493824 676
930242700 964474169 342
968944030 984608304 520
965837594 909045242 369
990484700 925952624 479

output:

106669104052.294677734375000
31076848077.761096954345703
40771434362.895133972167969
16579259543.363527297973633
33660076568.701904296875000
20209258011.501922607421875
34581380127.395095825195312
24798113234.332942962646484
33145494087.728252410888672
26925682159.120075225830078

result:

ok 10 numbers

Test #7:

score: 0
Accepted
time: 0ms
memory: 4128kb

input:

10
22 972733171 975
22 973609752 512
55 987399854 126
49 967364929 642
23 948126474 513
25 962813818 421
93 933323422 113
58 950364131 647
82 991906690 682
31 957667404 402

output:

972736672.681293368339539
973616306.986935973167419
987457697.396779417991638
967376069.315485358238220
948133283.101613879203796
962822722.647579073905945
933426898.317728161811829
950377057.363343119621277
991923706.585391759872437
957678776.965345501899719

result:

ok 10 numbers

Test #8:

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

input:

10
47 972371220 9743
65 949941115 9400
86 921812690 9736
11 927065494 9182
71 923766617 9378
63 941828720 9029
96 917539847 9084
88 952051332 9499
91 958386812 9427
64 950375055 9887

output:

972371465.901790261268616
949941549.320472836494446
921813131.821226119995117
927065583.858390092849731
923767096.493965983390808
941829231.442622661590576
917540568.647066354751587
952051875.055215239524841
958387391.921013832092285
950375326.495618939399719

result:

ok 10 numbers

Test #9:

score: 0
Accepted
time: 0ms
memory: 4160kb

input:

10
98 46 9403
99 89 9661
80 62 9450
25 20 9283
68 74 9328
54 14 9286
4 80 9574
35 61 9420
77 47 9943
22 9 9358

output:

153.142614059342748
194.596832626022149
150.264550264550252
48.475708283959925
152.229845626072034
73.228516045660129
87.737622728222263
101.910828025477699
124.710851855576777
33.126736482154307

result:

ok 10 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 4080kb

input:

10
89 77 65
53 41 913
47 67 488
89 13 267
20 60 427
58 72 690
23 60 677
43 38 775
52 68 343
83 61 805

output:

15149.283838238708995
795.195959678695885
1340.262610317281769
3590.647504732411562
734.463107824570557
1204.044041798926173
568.432537046958601
761.453449761660067
1986.669558374136159
1378.158448339147299

result:

ok 10 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 4088kb

input:

20
5 1000000000 4
3 999999979 5
5 1000000000 2
2 999999999 4
3 999999983 1
3 999999984 1
3 999999987 3
3 999999974 1
2 999999998 1
1 999999981 2
4 999999971 4
3 999999992 1
5 999999973 4
4 999999984 4
3 999999972 4
2 999999994 4
2 999999980 5
4 999999970 5
2 999999980 2
4 999999983 4

output:

1000153595.966845989227295
1000078103.937719106674194
1000289896.621388554573059
1000066017.486277937889099
1000342407.043464422225952
1000342408.043494462966919
1000125100.235101819038391
1000342398.043194532394409
1000236387.472664594650269
1000066005.589947819709778
1000125078.477628946304321
100...

result:

ok 20 numbers

Test #12:

score: 0
Accepted
time: 50ms
memory: 4048kb

input:

10000
15 999999991 6
16 999999975 2
12 999999978 9
7 999999993 4
19 999999980 5
20 999999977 5
13 999999995 10
11 999999979 6
19 999999995 5
6 999999982 10
15 999999978 1
2 999999974 5
12 999999980 4
18 999999997 1
12 999999992 10
20 999999970 6
2 999999999 2
13 999999984 1
16 999999984 2
16 9999999...

output:

1000289834.627433776855469
1000834644.980373620986938
1000162916.054420351982117
1000209141.238760352134705
1000424660.557301640510559
1000444958.758943676948547
1000159181.222366809844971
1000218214.149087667465210
1000424675.557871341705322
1000078088.897094845771790
1001470863.708315014839172
100...

result:

ok 10000 numbers

Test #13:

score: 0
Accepted
time: 1ms
memory: 4176kb

input:

50
3 999999983 9
8 999999973 7
6 999999988 9
17 999999995 10
19 999999993 6
13 999999989 6
17 999999995 1
8 999999999 7
9 999999971 3
15 999999986 8
2 1000000000 8
9 999999975 4
8 999999980 2
4 999999970 9
2 999999990 10
8 999999983 3
15 999999985 5
16 999999991 7
20 999999986 5
15 999999990 6
15 99...

output:

1000045336.023082971572876
1000141407.881453156471252
1000086075.416390776634216
1000203604.146658658981323
1000359647.071662425994873
1000254285.628474593162537
1001645751.815485715866089
1000141433.881750226020813
1000342363.795862674713135
1000222739.470001220703125
1000034735.235237717628479
100...

result:

ok 50 numbers