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 |
---|---|---|---|---|---|---|---|---|---|
#375891 | #4230. Leaderboard Effect | 8BQube# | AC ✓ | 586ms | 90788kb | C++20 | 1.7kb | 2024-04-03 16:53:19 | 2024-04-03 16:53:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define ALL(v) v.begin(), v.end()
#define pb push_back
#define SZ(a) ((int)a.size())
double ans[105][17], dp[105][1 << 17];
int r[105], c[105];
double p[105];
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int n, t;
cin >> n >> t;
for (int i = 0; i < n; ++i)
cin >> r[i] >> c[i] >> p[i];
dp[0][0] = 1;
for (int i = 0; i < t; ++i) {
for (int j = 0; j < (1 << n); ++j) {
if (dp[i][j] == 0) continue;
double total = 0;
int cnt = 0;
for (int k = 0; k < n; ++k)
if (!(j >> k & 1)) {
total += ans[i][k];
++cnt;
}
for (int k = 0; k < n; ++k)
if (!(j >> k & 1)) {
double prob = 0;
if (total == 0) prob = (double)1 / cnt;
else if (ans[i][k] > 0) prob = ans[i][k] / total;
// solved
if (i + r[k] + c[k] <= t) {
dp[i + r[k] + c[k]][j | (1 << k)] += dp[i][j] * prob * p[k];
ans[i + r[k] + c[k]][k] += dp[i][j] * prob * p[k];
}
// unsolved
if (i + r[k] <= t)
dp[i + r[k]][j | (1 << k)] += dp[i][j] * prob * (1 - p[k]);
}
}
for (int j = 0; j < n; ++j)
ans[i + 1][j] += ans[i][j];
}
for (int i = 0; i < n; ++i)
cout << fixed << setprecision(15) << ans[t][i] << "\n";
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3944kb
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: 0ms
memory: 3916kb
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: 3936kb
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: 115ms
memory: 26940kb
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 0.667424409119592 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: 256ms
memory: 49548kb
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: 4ms
memory: 27588kb
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: 3984kb
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: 586ms
memory: 90788kb
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 0.787438275235424 0.424197477957682 0.453289869882972 0.071088847407502 0.023050639997668 0.2766309939...
result:
ok 17 numbers
Test #9:
score: 0
Accepted
time: 312ms
memory: 66404kb
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 0.460749791576546 0.031503038542143 0.749829862412190 0.246898055559744 0.741615885873625 0.008716558501782 0.634338337966248 0.599407644446860 0.030966264343319 0.141901745771332 0.226289267326114 0.285202950435272 0.6812159525...
result:
ok 17 numbers
Test #10:
score: 0
Accepted
time: 312ms
memory: 69196kb
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 0.677157939955959 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: 350ms
memory: 71928kb
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: 288ms
memory: 64140kb
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 0.831520204401420 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: 7ms
memory: 4572kb
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: 7ms
memory: 4616kb
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: 0ms
memory: 3936kb
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