QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#725429 | #6423. Fireworks | 333zhan# | AC ✓ | 73ms | 3920kb | C++20 | 1.7kb | 2024-11-08 17:42:51 | 2024-11-08 17:42:52 |
Judging History
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;
}
詳細信息
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