QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#725429#6423. Fireworks333zhan#AC ✓73ms3920kbC++201.7kb2024-11-08 17:42:512024-11-08 17:42:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-08 17:42:52]
  • 评测
  • 测评结果:AC
  • 用时:73ms
  • 内存:3920kb
  • [2024-11-08 17:42:51]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long

using namespace std;

using f64 = long double;

constexpr f64 inf = 1E18;

f64 power (f64 x, int p) {
    f64 ans = 1;
    for (; p; p >>= 1) {
        if (p & 1) {
            ans = ans * x;
        }
        x = x * x;
    }
    return ans;
}

void solve () {
    int n, m, p;
    cin >> n >> m >> p;

    if (p == 10000) {
        cout << 1.0 * (n + m) << '\n';
        return;
    }

    f64 np = 0.0001L * p;

    // f64 ans = inf;
    // int d = 0;
    // f64 pret = inf;

    auto f = [&] (int x) {
        return 1.0L / (1.0L - power (1.0 - np, x)) * (n * x + m);
    };

    f64 ans1, ans2;
    int l = 1, r = 1E9;
    while (l < r) {
        int mid1 = l + (r - l) / 3;
        int mid2 = r - (r - l) / 3;
        ans1 = f (mid1);
        ans2 = f (mid2);
        if (ans1 <= ans2) {
            r = mid2 - 1;
        } else {
            l = mid1 + 1;
        }
    }

    cout << min (ans1, ans2) << '\n';

    // for (int x = 1; x <= 10000; x ++) {
    //     f64 t = 1.0 / (1 - power (1.0 - np, x)) * (n * x + m);
    //     if (d == 0) {
    //         if (t > pret) {
    //             d = 1;
    //         }
    //     } else {
    //         if (t < pret) {
    //             cout << "no\n";
    //             return;
    //         }
    //     }
    //     ans = min (ans, 1.0 / (1 - power (1.0 - np, x)) * (n * x + m));
    // }

    // cout << ans << '\n';
}

signed main () {
    ios::sync_with_stdio (false);
    cin.tie (nullptr);

    cout << 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: 3820kb

input:

3
1 1 5000
1 1 1
1 2 10000

output:

4.000000000000000
10141.585289113577102
3.000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1ms
memory: 3680kb

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:

89.729805650548007
200.348432055749129
177.346278317152104
416.839877800354581
90.293453724604966
149.569421362743617
190.672507085802628
164.601521115576933
139.349701393497014
275.133110248423011
167.364016736401674
207.190737355271176
300.732217573221757
589.058848950519437
101.877028212448853
10...

result:

ok 20 numbers

Test #3:

score: 0
Accepted
time: 1ms
memory: 3868kb

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:

1980003919.029165816842578
1951513567.023026315728202
2010693554.594594594440423
2021655257.390944800456055
2031572260.121134842163883
2023744964.098167398944497
2057899480.771302380715497
1934924193.052566861384548
1909560538.206647253595293
1938062078.640386162442155

result:

ok 10 numbers

Test #4:

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

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:

965287879.665047038113698
1035512471.349745331041049
940905431.728981615393423
1063626543.685167361807544
1001518880.766062602924649
1045380761.465876673290040
1009160282.760075965372380
1022500825.108129089523572
960922565.450318406918086
1033287652.536929993599188

result:

ok 10 numbers

Test #5:

score: 0
Accepted
time: 0ms
memory: 3880kb

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:

28800258734.177215192466974
18075237355.679702045395970
102118356741.573033943772316
20399770568.927789930254221
84356173628.318584173917770
282304390588.235296368598938
80421952434.782608538866043
24940588507.853403132408857
458817209500.000002890825272
14331610061.162079506553710

result:

ok 10 numbers

Test #6:

score: 0
Accepted
time: 0ms
memory: 3676kb

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:

106669104052.294285893440247
31076848077.761111596599221
40771434362.895146470516920
16579259543.363533262163401
33660076568.701947132125497
20209258011.501921353861690
34581380127.395108222961426
24798113234.332960056141019
33145494087.728286808356643
26925682159.120105499401689

result:

ok 10 numbers

Test #7:

score: 0
Accepted
time: 0ms
memory: 3680kb

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:

972736672.681293441855814
973616306.986935916880611
987457697.396779324626550
967376069.315485323604662
948133283.101613932813052
962822722.647579097945709
933426898.317728194990195
950377057.363343162694946
991923706.585391661094036
957678776.965345430886373

result:

ok 10 numbers

Test #8:

score: 0
Accepted
time: 1ms
memory: 3872kb

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:

972371465.901790268602781
949941549.320472925144713
921813131.821226126980036
927065583.858390120905824
923767096.493965991714504
941829231.442622725968249
917540568.647066358476877
952051875.055215206579305
958387391.921013795945328
950375326.495618894463405

result:

ok 10 numbers

Test #9:

score: 0
Accepted
time: 1ms
memory: 3920kb

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:

153.142614059342763
194.596832626022151
150.264550264550265
48.475708283959927
152.229845626072041
73.228516045660134
87.737622728222269
101.910828025477707
124.710851855576788
33.126736482154306

result:

ok 10 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 3904kb

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:

15149.283838238594139
795.195959678696220
1340.262610317280814
3590.647504732402336
734.463107824570005
1204.044041798925445
568.432537046958591
761.453449761660177
1986.669558374136445
1378.158448339147827

result:

ok 10 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 3844kb

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:

1000153595.966846054303460
1000078103.937719036941417
1000289896.621388429950457
1000066017.486277992022224
1000342407.043464435264468
1000342408.043494423967786
1000125100.235101855883840
1000342398.043194537225645
1000236387.472664554778021
1000066005.589947735716123
1000125078.477628970344085
100...

result:

ok 20 numbers

Test #12:

score: 0
Accepted
time: 73ms
memory: 3908kb

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:

1000289834.627433820103761
1000834644.980373557482380
1000162916.054420318454504
1000209141.238760369189549
1000424660.557301663386170
1000444958.758943584805820
1000159181.222366823232733
1000218214.149087725498248
1000424675.557871331460774
1000078088.897094844840467
1001470863.708314931311179
100...

result:

ok 10000 numbers

Test #13:

score: 0
Accepted
time: 1ms
memory: 3832kb

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:

1000045336.023083026288077
1000141407.881453225912992
1000086075.416390765516553
1000203604.146658752171788
1000359647.071662367146928
1000254285.628474628494587
1001645751.815485570870806
1000141433.881750286207534
1000342363.795862677332480
1000222739.470001246430911
1000034735.235237659246195
100...

result:

ok 50 numbers