QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#353098 | #4230. Leaderboard Effect | PetroTarnavskyi# | AC ✓ | 1524ms | 106280kb | C++20 | 1.5kb | 2024-03-13 21:08:31 | 2024-03-13 21:08:32 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;
const int N = 17;
const int T = 107;
const db EPS = 1e-9;
db dp[T][1 << N];
db f[T][N];
int r[N], c[N];
db p[N];
bool hasBit(int mask, int i)
{
return (mask >> i) & 1;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(15);
int n, t;
cin >> n >> t;
FOR(i, 0, n)
cin >> r[i] >> c[i] >> p[i];
dp[0][0] = 1;
FOR(i, 0, t)
{
FOR(mask, 0, 1 << n)
{
db s = 0;
int cntUnused = 0;
FOR(k, 0, n)
if (!hasBit(mask, k))
{
s += f[i][k];
cntUnused++;
}
// choose problem k
FOR(k, 0, n)
{
if (hasBit(mask, k))
continue;
db probK = s < EPS ? (1.0 / cntUnused) : (f[i][k] / s);
if (i + r[k] <= t)
{
dp[i + r[k]][mask | (1 << k)] += dp[i][mask] * probK * (1 - p[k]);
}
if (i + r[k] + c[k] <= t)
{
dp[i + r[k] + c[k]][mask | (1 << k)] += dp[i][mask] * probK * p[k];
f[i + r[k] + c[k]][k] += dp[i][mask] * probK * p[k];
}
}
}
FOR(k, 0, n)
f[i + 1][k] += f[i][k];
}
FOR(k, 0, n)
cout << f[t][k] << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 4016kb
input:
4 42 10 10 0.75 10 10 0.75 10 12 1 10 12 1
output:
0.456250000000000 0.456250000000000 0.296875000000000 0.296875000000000
result:
ok 4 numbers
Test #2:
score: 0
Accepted
time: 1ms
memory: 3988kb
input:
4 42 10 12 0.75 10 12 0.75 10 10 1 10 10 1
output:
0.203125000000000 0.203125000000000 0.683238636363636 0.683238636363636
result:
ok 4 numbers
Test #3:
score: 0
Accepted
time: 1ms
memory: 4068kb
input:
5 100 40 60 0.6 40 61 1 10 40 0.3 10 40 0.4 10 40 0.5
output:
0.120000000000000 0.000000000000000 0.112628571428571 0.159739682539683 0.206444444444444
result:
ok 5 numbers
Test #4:
score: 0
Accepted
time: 321ms
memory: 29900kb
input:
15 100 4 14 0.954205412740471 5 11 0.264054003774017 1 7 0.521673865442381 3 12 0.6756938980261 1 15 0.980129050876819 2 12 0.836645892885326 10 3 0.959863273940343 13 6 0.230786407526669 3 13 0.0575791282076707 6 5 0.706328060881614 1 15 0.662404274712202 2 13 0.715327416279894 11 2 0.9275847467499...
output:
0.546688360092036 0.055519018242140 0.393621391115123 0.350874919754782 0.667424409119591 0.571222512937160 0.799952216612430 0.040005404338940 0.006145048719599 0.551256231843810 0.299989033034696 0.391260583274803 0.760474924225991 0.518805181308479 0.071748788009812
result:
ok 15 numbers
Test #5:
score: 0
Accepted
time: 731ms
memory: 55488kb
input:
16 100 1 8 0.203833126785817 1 10 0.551151943064124 1 12 0.996220861387656 1 7 0.198656409543208 2 2 0.467994369421028 8 3 0.201277956430612 1 10 0.33397726300295 1 8 0.223430703554389 3 12 0.715363922664928 9 6 0.883743052774488 1 9 0.51636293824285 2 7 0.00210327442137626 6 11 0.978989778915285 1 ...
output:
0.085880480704929 0.425292731546367 0.937411152137167 0.092224956990472 0.433995938461823 0.075522926844032 0.173430796407679 0.101752996585523 0.534933339311451 0.765138886172423 0.408570030793372 0.000234545182917 0.837491098750283 0.150632754765004 0.889198544694527 0.776051252008205
result:
ok 16 numbers
Test #6:
score: 0
Accepted
time: 716ms
memory: 54940kb
input:
16 100 36 30 0.246284470931766 40 2 0.00729886464249319 34 9 0.969806174971755 2 27 0.700168809611093 2 49 0.00964738878291982 11 13 0.843818712396597 23 15 0.015695164745825 2 11 0.860911871987035 8 39 0.759047449661107 33 17 0.156016479857797 5 40 0.704380590007194 2 36 0.0742940485679995 13 17 0....
output:
0.022417364414376 0.000671987468592 0.188134004526026 0.267402196062388 0.000806452249446 0.481207172814253 0.001508624006811 0.728900640076843 0.093530246883962 0.014415753884894 0.100479452210368 0.007905300344661 0.016108345935736 0.011464406576285 0.193442248319016 0.108540508187958
result:
ok 16 numbers
Test #7:
score: 0
Accepted
time: 1ms
memory: 4044kb
input:
2 100 44 23 0.344489870631275 18 13 0.617983603136949
output:
0.344489870631275 0.617983603136949
result:
ok 2 numbers
Test #8:
score: 0
Accepted
time: 1524ms
memory: 106280kb
input:
17 100 1 6 0.618966248907732 1 6 0.126915204708293 4 7 0.35153234988752 2 3 0.0368548187261588 1 5 0.299571483949073 1 12 0.944530094804986 3 12 0.249408160616937 1 11 0.91317090384857 5 8 0.377638681694897 4 12 0.639080155811651 1 4 0.809300766237897 8 5 0.812731204986182 1 10 0.480107932016118 7 1...
output:
0.609720598660333 0.066416290908452 0.275964793487334 0.011631666152016 0.265396873852893 0.927618724724162 0.110452453340905 0.900022841304072 0.272454777474705 0.544419064353631 0.807557009623788 0.787438275235423 0.424197477957682 0.453289869882972 0.071088847407502 0.023050639997668 0.2766309939...
result:
ok 17 numbers
Test #9:
score: 0
Accepted
time: 1294ms
memory: 90996kb
input:
17 85 8 6 0.9977 1 4 0.9459 5 9 0.0733 2 9 0.759 9 6 0.921 5 6 0.2015 2 8 0.9407 8 10 0.7806 5 3 0.864 4 4 0.0777 9 3 0.9518 8 2 0.8221 10 9 0.2471 4 8 0.4679 7 6 0.603 3 2 0.4067 5 5 0.8879
output:
0.586724519250854 0.912953420937973 0.006580616859529 0.421056086792997 0.460749791576545 0.031503038542143 0.749829862412190 0.246898055559744 0.741615885873625 0.008716558501782 0.634338337966247 0.599407644446860 0.030966264343319 0.141901745771332 0.226289267326114 0.285202950435272 0.6812159525...
result:
ok 17 numbers
Test #10:
score: 0
Accepted
time: 1272ms
memory: 90956kb
input:
17 85 9 7 0.0563 7 7 0.1979 9 3 0.7689 1 6 0.0291 7 7 0.9631 5 8 0.847 8 6 0.6752 2 9 0.0396 4 2 0.6747 8 3 0.1071 8 4 0.5134 9 7 0.7491 6 8 0.3134 3 1 0.8355 4 5 0.5561 1 10 0.372 9 9 0.4515
output:
0.005494076787488 0.037237798874605 0.629437253361304 0.003543465855541 0.781023527962233 0.677157939955960 0.410806433460006 0.003743883246819 0.642440929631951 0.016553323195167 0.303805123336441 0.423831677025396 0.086198287282299 0.826970933203345 0.461284708494303 0.163760869135424 0.1285953724...
result:
ok 17 numbers
Test #11:
score: 0
Accepted
time: 1320ms
memory: 90944kb
input:
17 85 1 7 0.1344 5 8 0.99 8 3 0.437 4 9 0.1375 3 2 0.8208 1 8 0.5922 10 6 0.655 8 5 0.8043 2 5 0.8447 5 10 0.3305 9 3 0.725 1 8 0.0394 6 5 0.8091 8 7 0.6427 9 6 0.7282 4 7 0.1024 1 6 0.4222
output:
0.027115033929916 0.792437156034328 0.206196778123340 0.020443184337910 0.797474393400831 0.426878809713136 0.285203945992875 0.551883378811675 0.792822140398923 0.081619893150215 0.498293254014566 0.004121958074336 0.643010750412097 0.299258019222352 0.386625244711550 0.014474542348519 0.2706075742...
result:
ok 17 numbers
Test #12:
score: 0
Accepted
time: 1318ms
memory: 90888kb
input:
17 85 10 2 0.6556 3 1 0.7738 1 8 0.9047 3 10 0.9973 10 4 0.5266 8 1 0.4384 5 3 0.3559 3 6 0.7999 8 6 0.9665 3 4 0.142 7 5 0.0319 6 3 0.4056 6 10 0.0477 8 10 0.1334 5 8 0.8102 8 8 0.6 7 5 0.318
output:
0.397289127475792 0.761422130971623 0.831520204401419 0.780827798025808 0.196244888928758 0.254090235986826 0.190704612138930 0.703615786202505 0.680280815914402 0.035553141225707 0.002595389400108 0.211203658821714 0.003954785625942 0.014426060932877 0.529030490740856 0.218260745505969 0.0876844930...
result:
ok 17 numbers
Test #13:
score: 0
Accepted
time: 1411ms
memory: 97096kb
input:
17 100 10 41 0.986344070444954 38 40 0.13596976314146 23 65 0.589188420670698 23 41 0.862487981086339 66 62 0.756039635351495 84 82 0.466671597793749 17 74 0.451825236037525 97 49 0.785964886639839 76 26 0.432545432217108 10 33 0.495053202758143 35 72 0.437261903429889 55 95 0.333190022475783 83 56 ...
output:
0.071557905030191 0.008531951117394 0.035781505339295 0.057417466249548 0.000000000000000 0.000000000000000 0.026577955061031 0.000000000000000 0.000000000000000 0.076177754926464 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.0000000000...
result:
ok 17 numbers
Test #14:
score: 0
Accepted
time: 1415ms
memory: 97216kb
input:
17 100 52 66 0.608312285077897 77 36 0.182402129968963 43 16 0.906840075497175 75 100 0.508033408075313 25 60 0.688919263266595 84 59 0.17045120790047 75 9 0.831462171228754 16 69 0.185113485186001 71 54 0.372346884200038 90 65 0.235248490382517 62 50 0.917089563798644 47 45 0.717838729472597 56 51 ...
output:
0.000000000000000 0.000000000000000 0.060282814414062 0.000000000000000 0.041553544552180 0.000000000000000 0.052642288171710 0.011165490448638 0.000000000000000 0.000000000000000 0.000000000000000 0.042661428112687 0.000000000000000 0.045098071399119 0.000000000000000 0.039767234849516 0.0560748677...
result:
ok 17 numbers
Test #15:
score: 0
Accepted
time: 1ms
memory: 3976kb
input:
5 40 10 8 0.9 10 9 0.9 10 10 0.9 10 11 0.9 10 12 0.9
output:
0.538500000000000 0.376500000000000 0.241500000000000 0.238500000000000 0.238500000000000
result:
ok 5 numbers