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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 |
---|---|---|---|---|---|---|---|---|---|
#353274 | #958. Lockout vs tourist | HKOI0 | AC ✓ | 935ms | 36804kb | C++20 | 1.5kb | 2024-03-14 00:24:29 | 2024-03-14 00:25:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
typedef double LD;
LD dp[1 << 22];
int a[22];
void solve() {
int n; cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
}
for (int msk = 1; msk < (1 << n); msk++) {
vector<pair<LD, LD>> win;
for (int j = 0; j < n; j++) {
if (msk & (1 << j)) {
win.push_back({dp[msk ^ (1 << j)], a[j]});
}
}
sort(win.begin(), win.end(), [](auto a, auto b){
return a.first < b.first;
});
LD cur_ans = 0, R = 1, U = 1e9 + 11, L = 0;
for (int j = 0; j < win.size(); j++) {
if (win[j].first >= win[j].second - 1e-12) {
continue;
}
if (win[j].second < cur_ans) break;
LD diff = U - min(U, win[j].second);
U = min(U, win[j].second);
R -= diff * L;
R -= (win[j].second - U) / (win[j].second - win[j].first);
if (R < 0) break;
L += 1.0L / (win[j].second - win[j].first);
cur_ans = max(cur_ans, U - R / L);
}
for (int j = 0; j < win.size(); j++) {
cur_ans = max(cur_ans, win[j].first);
}
dp[msk] = cur_ans;
}
cout << fixed << setprecision(10);
cout << dp[(1 << n) - 1] << endl;
}
signed main() {
#ifndef LOCAL
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
int T = 1;
// cin >> T;
while (T--) solve();
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 4024kb
input:
2 6 7
output:
3.2307692308
result:
ok found '3.2307692', expected '3.2307692', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
3 1 1 1
output:
0.8333333333
result:
ok found '0.8333333', expected '0.8333333', error '0.0000000'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
11 1 2 3 4 5 6 7 8 9 10 11
output:
9.4422713866
result:
ok found '9.4422714', expected '9.4422714', error '0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
2 1 1000000000
output:
0.9999999990
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
5 76 57 68 36 63
output:
63.3539651124
result:
ok found '63.3539651', expected '63.3539651', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
10 550060 445055 787034 728427 572554 894096 875473 622886 575460 119034
output:
818911.3739286328
result:
ok found '818911.3739286', expected '818911.3739286', error '0.0000000'
Test #7:
score: 0
Accepted
time: 7ms
memory: 4284kb
input:
15 10 8 9 6 9 5 3 9 7 8 7 6 7 10 7
output:
9.4986796318
result:
ok found '9.4986796', expected '9.4986796', error '0.0000000'
Test #8:
score: 0
Accepted
time: 216ms
memory: 11976kb
input:
20 3 2 2 1 2 3 1 3 3 2 1 2 3 2 3 2 3 1 3 1
output:
2.9999751984
result:
ok found '2.9999752', expected '2.9999752', error '0.0000000'
Test #9:
score: 0
Accepted
time: 450ms
memory: 20184kb
input:
21 608646711 538679781 175667175 596079164 43084965 174585378 46825084 647100103 820432909 254925688 469580725 888475497 802835182 554123188 53822453 849477025 715668397 194908968 407987651 349577139 457598738
output:
831669480.2821692228
result:
ok found '831669480.2821692', expected '831669480.2821692', error '0.0000000'
Test #10:
score: 0
Accepted
time: 935ms
memory: 36660kb
input:
22 593316975 268451765 664075355 817013319 325389147 553878522 663160635 289932897 995002446 771863307 252061346 171723220 102306933 722521207 52895206 996540774 335816175 415049181 629862034 371890996 327908946 357122932
output:
899795716.3481485844
result:
ok found '899795716.3481486', expected '899795716.3481486', error '0.0000000'
Test #11:
score: 0
Accepted
time: 775ms
memory: 36688kb
input:
22 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152
output:
895851.5340571189
result:
ok found '895851.5340571', expected '895851.5340571', error '0.0000000'
Test #12:
score: 0
Accepted
time: 773ms
memory: 36804kb
input:
22 1000001 1000002 1000003 1000004 1000005 1000006 1000007 1000008 1000009 1000010 1000011 1000012 1000013 1000014 1000015 1000016 1000017 1000018 1000019 1000020 1000021 1000022
output:
1000020.4421252878
result:
ok found '1000020.4421253', expected '1000020.4421253', error '0.0000000'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
10 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000
output:
999999724.4268077612
result:
ok found '999999724.4268078', expected '999999724.4268078', error '0.0000000'
Test #14:
score: 0
Accepted
time: 816ms
memory: 36596kb
input:
22 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000
output:
1000000000.0000000000
result:
ok found '1000000000.0000000', expected '1000000000.0000000', error '0.0000000'
Test #15:
score: 0
Accepted
time: 439ms
memory: 20260kb
input:
21 728645832 499372030 251249515 630474794 602042850 686098859 164334367 88772048 746898743 759695983 264178590 77784010 969248695 194487863 333341710 979132664 389787588 237190234 881432878 265149252 412117176
output:
904983051.3139024973
result:
ok found '904983051.3139025', expected '904983051.3139025', error '0.0000000'
Test #16:
score: 0
Accepted
time: 935ms
memory: 36596kb
input:
22 314176712 731128902 493616429 895194945 944147610 264333375 726725941 275896968 22590087 347618504 348534546 434375739 41042380 833655175 812796321 965972943 895005482 106474689 268333939 73317639 692105187 921714965
output:
931516498.4413917065
result:
ok found '931516498.4413917', expected '931516498.4413917', error '0.0000000'
Test #17:
score: 0
Accepted
time: 894ms
memory: 36512kb
input:
22 619182033 404890231 483695686 505942949 17974691 191865554 285191465 20725875 768798333 549358594 794203186 500489670 673327262 914017660 189568084 691193705 497008772 813277003 87684441 894142475 811860050 857365145
output:
872232180.5260175467
result:
ok found '872232180.5260175', expected '872232180.5260175', error '0.0000000'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1 1
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'