QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#84249 | #5444. Tavern Chess | Svyat | AC ✓ | 854ms | 85768kb | C++17 | 2.2kb | 2023-03-06 03:31:06 | 2023-03-06 03:31:08 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using minion = pair<int, int>;
struct Hasher {
std::size_t operator()(const vector<pair<int, int>>& k) const {
using std::hash;
size_t h = 0;
for (auto &it : k) {
h = h * 31 + hash<int>()(it.first);
h = h * 31 + hash<int>()(it.second);
}
return h;
}
};
unordered_map<vector<minion>, unordered_map<vector<minion>, pair<double, double>, Hasher>, Hasher> dp;
pair<double, double> go(vector<minion> &a, vector<minion> &b) {
if (a.empty() && b.empty()) {
return make_pair(0, 0);
}
if (a.empty()) {
return make_pair(0, 1);
}
if (b.empty()) {
return make_pair(1, 0);
}
auto &state = dp[a];
if (state.count(b)) {
return state[b];
}
pair<double, double> &res = state[b];
vector<minion> aarot = a;
rotate(aarot.begin(), aarot.begin() + 1, aarot.end());
vector<minion> aaerase = a;
aaerase.erase(aaerase.begin());
for (int i = 0; i < (int) b.size(); ++i) {
vector<minion> bb = b;
bb[i].second -= a[0].first;
if (bb[i].second <= 0) {
bb.erase(bb.begin() + i);
}
pair<double, double> cur;
if (a[0].second <= b[i].first) {
cur = go(bb, aaerase);
} else {
aarot.back().second -= b[i].first;
cur = go(bb, aarot);
aarot.back().second += b[i].first;
}
res.first += cur.second / b.size();
res.second += cur.first / b.size();
}
return res;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<minion> a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i].first;
a[i].second = a[i].first;
}
vector<minion> b(m);
for (int i = 0; i < m; ++i) {
cin >> b[i].first;
b[i].second = b[i].first;
}
pair<double, double> result;
if (n > m) {
result = go(a, b);
} else if (n < m) {
result = go(b, a);
swap(result.first, result.second);
} else {
result = go(a, b);
auto tmp = go(b, a);
result.first = (result.first + tmp.second) * 0.5;
result.second = (result.second + tmp.first) * 0.5;
}
cout.precision(18);
cout << fixed << showpoint;
cout << result.first << endl;
cout << result.second << endl;
cout << 1.0 - result.first - result.second << endl;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3624kb
input:
2 3 2 5 3 4 1
output:
0.125000000000000000 0.750000000000000000 0.125000000000000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
6 6 1 1 4 5 1 4 1 1 4 5 1 4
output:
0.241867283950617240 0.241867283950617240 0.516265432098765520
result:
ok 3 numbers
Test #3:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
7 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #4:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
1 7 7 1 1 1 1 1 1 1
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #5:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
2 3 736618938 652769331 328875880 97571721 44608905
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #6:
score: 0
Accepted
time: 3ms
memory: 3588kb
input:
5 4 53585130 731696211 668322278 611205195 158818781 569587984 776042583 745745433 330119007
output:
0.066840277777777776 0.664351851851851860 0.268807870370370350
result:
ok 3 numbers
Test #7:
score: 0
Accepted
time: 2ms
memory: 3512kb
input:
7 2 578505806 551611151 92903265 403642038 542119417 57334031 307573613 897644535 168524310
output:
0.999999999999999778 0.000000000000000000 0.000000000000000222
result:
ok 3 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 4540kb
input:
5 6 113196606 64768263 772808463 787707989 500151952 481840741 676847825 4641268 431386165 847736311 169677832
output:
0.136323173868312747 0.522397183641975293 0.341279642489711987
result:
ok 3 numbers
Test #9:
score: 0
Accepted
time: 28ms
memory: 9232kb
input:
6 6 260666773 527612597 471926610 702232282 559007797 606173983 560573055 928117268 101411867 875949818 907478252 182117037
output:
0.000000000000000000 0.960819573045267439 0.039180426954732561
result:
ok 3 numbers
Test #10:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
3 3 333377599 3066695 67916629 426841530 865184552 974638244
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #11:
score: 0
Accepted
time: 2ms
memory: 3512kb
input:
1 1 529429019 529428649
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #12:
score: 0
Accepted
time: 2ms
memory: 3516kb
input:
3 3 12886596 817437415 465037461 12886473 817437448 465037967
output:
0.069444444444444448 0.652777777777777679 0.277777777777777901
result:
ok 3 numbers
Test #13:
score: 0
Accepted
time: 27ms
memory: 9900kb
input:
6 6 211213374 319527017 257080158 176742665 53109345 33822515 53109265 319527076 176743175 257080012 211212799 33822353
output:
0.423399959276406057 0.319386584790809280 0.257213455932784663
result:
ok 3 numbers
Test #14:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
1 2 1 1 1
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #15:
score: 0
Accepted
time: 2ms
memory: 3472kb
input:
1 2 1 1 3
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #16:
score: 0
Accepted
time: 2ms
memory: 3572kb
input:
1 2 2 4 2
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #17:
score: 0
Accepted
time: 0ms
memory: 3496kb
input:
1 2 3 5 5
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #18:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
1 2 4 1 2
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #19:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
1 2 5 2 5
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #20:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
1 2 5 5 5
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #21:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
2 2 1 1 1 3
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #22:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
2 2 1 1 2 3
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #23:
score: 0
Accepted
time: 2ms
memory: 3500kb
input:
2 2 1 4 2 5
output:
0.000000000000000000 0.500000000000000000 0.500000000000000000
result:
ok 3 numbers
Test #24:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
2 2 2 2 1 4
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #25:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
2 2 3 2 4 1
output:
0.000000000000000000 0.500000000000000000 0.500000000000000000
result:
ok 3 numbers
Test #26:
score: 0
Accepted
time: 2ms
memory: 3500kb
input:
2 2 3 3 1 3
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #27:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
2 2 3 3 2 4
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #28:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
2 2 3 3 5 3
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #29:
score: 0
Accepted
time: 2ms
memory: 3500kb
input:
2 2 4 3 2 1
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #30:
score: 0
Accepted
time: 1ms
memory: 3540kb
input:
2 2 4 3 4 4
output:
0.000000000000000000 1.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #31:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
2 2 5 1 5 2
output:
0.125000000000000000 0.625000000000000000 0.250000000000000000
result:
ok 3 numbers
Test #32:
score: 0
Accepted
time: 2ms
memory: 3532kb
input:
2 2 5 1 5 3
output:
0.125000000000000000 0.625000000000000000 0.250000000000000000
result:
ok 3 numbers
Test #33:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
2 2 5 2 2 3
output:
0.875000000000000000 0.000000000000000000 0.125000000000000000
result:
ok 3 numbers
Test #34:
score: 0
Accepted
time: 2ms
memory: 3532kb
input:
2 2 5 4 1 2
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #35:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
2 2 5 4 3 5
output:
0.875000000000000000 0.000000000000000000 0.125000000000000000
result:
ok 3 numbers
Test #36:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
2 2 5 5 1 4
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #37:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
2 2 5 5 2 2
output:
1.000000000000000000 0.000000000000000000 0.000000000000000000
result:
ok 3 numbers
Test #38:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
1 1 6 6
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #39:
score: 0
Accepted
time: 2ms
memory: 3708kb
input:
5 5 6 5 9 9 3 3 5 9 9 6
output:
0.297870370370370341 0.278773148148148131 0.423356481481481528
result:
ok 3 numbers
Test #40:
score: 0
Accepted
time: 14ms
memory: 6392kb
input:
6 6 10 2 3 4 5 7 5 2 4 3 10 7
output:
0.254010456854423861 0.192773705418381347 0.553215837727194737
result:
ok 3 numbers
Test #41:
score: 0
Accepted
time: 66ms
memory: 12912kb
input:
7 7 7 6 8 6 7 3 9 7 6 9 8 7 3 6
output:
0.310913751425669460 0.365768367914019676 0.323317880660310863
result:
ok 3 numbers
Test #42:
score: 0
Accepted
time: 3ms
memory: 4460kb
input:
6 6 5 4 7 9 9 10 9 4 9 7 5 10
output:
0.216942435056584337 0.327856545781892994 0.455201019161522669
result:
ok 3 numbers
Test #43:
score: 0
Accepted
time: 1ms
memory: 3672kb
input:
4 4 9 7 10 6 9 7 6 10
output:
0.330873842592592560 0.262297453703703665 0.406828703703703720
result:
ok 3 numbers
Test #44:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
3 3 3 10 3 3 10 3
output:
0.187500000000000000 0.187500000000000000 0.625000000000000000
result:
ok 3 numbers
Test #45:
score: 0
Accepted
time: 1ms
memory: 3540kb
input:
2 2 3 4 3 4
output:
0.000000000000000000 0.000000000000000000 1.000000000000000000
result:
ok 3 numbers
Test #46:
score: 0
Accepted
time: 242ms
memory: 28712kb
input:
7 7 922750124 99645786 685060385 948410807 266950246 996521461 883971852 266950246 99645786 883971852 685060385 922750124 996521461 948410807
output:
0.363356371416236223 0.279566405511857519 0.357077223071906258
result:
ok 3 numbers
Test #47:
score: 0
Accepted
time: 463ms
memory: 49332kb
input:
7 7 241155912 361580213 393947982 781406405 485516551 277202028 115028196 485516551 361580213 115028196 393947982 241155912 277202028 781406405
output:
0.370176093599871969 0.278789945303564157 0.351033961096563818
result:
ok 3 numbers
Test #48:
score: 0
Accepted
time: 159ms
memory: 20460kb
input:
7 7 565748008 734938287 873800405 879803305 473331973 893190834 623040014 473331973 734938287 623040014 873800405 565748008 893190834 879803305
output:
0.364305908016636648 0.315603554227117833 0.320090537756245519
result:
ok 3 numbers
Test #49:
score: 0
Accepted
time: 180ms
memory: 26788kb
input:
7 7 14 4 6 5 201506030 15 15 4 14 201506030 15 15 6 5
output:
0.178183791652377688 0.337081509869894491 0.484734698477727877
result:
ok 3 numbers
Test #50:
score: 0
Accepted
time: 161ms
memory: 20100kb
input:
7 7 3 2 3 5 784861968 2 1 2 3 784861968 1 2 3 5
output:
0.223075021873287371 0.316151580233161700 0.460773397893550873
result:
ok 3 numbers
Test #51:
score: 0
Accepted
time: 854ms
memory: 85768kb
input:
7 7 8 15 3 9 168061718 2 5 15 8 168061718 5 2 3 9
output:
0.212969595988052429 0.319962995067213818 0.467067408944733753
result:
ok 3 numbers
Test #52:
score: 0
Accepted
time: 92ms
memory: 18672kb
input:
7 7 859736717 19 19 18 13 10 7 7 10 13 18 19 19 859736717
output:
0.393620652595213893 0.147967266251600948 0.458412081153185103
result:
ok 3 numbers
Test #53:
score: 0
Accepted
time: 317ms
memory: 41344kb
input:
7 7 761045932 18 13 11 9 7 6 6 7 9 11 13 18 761045932
output:
0.382467689555167190 0.147493238654726661 0.470039071790106178
result:
ok 3 numbers
Test #54:
score: 0
Accepted
time: 361ms
memory: 45768kb
input:
7 7 379524878 17 16 14 10 6 1 1 6 10 14 16 17 379524878
output:
0.379260293299904239 0.176536722079842723 0.444202984620253094
result:
ok 3 numbers
Test #55:
score: 0
Accepted
time: 121ms
memory: 22132kb
input:
7 7 986258805 329018732 16 14 10 10 4 4 10 10 14 16 329018732 986258805
output:
0.335206523508067122 0.168228186481800795 0.496565290010132054
result:
ok 3 numbers
Test #56:
score: 0
Accepted
time: 154ms
memory: 25808kb
input:
7 7 402437510 39859989 20 20 18 17 7 7 17 18 20 20 39859989 402437510
output:
0.328699473643151496 0.160263058268706182 0.511037468088142321
result:
ok 3 numbers
Test #57:
score: 0
Accepted
time: 410ms
memory: 51184kb
input:
7 7 719895666 88341845 15 11 10 6 5 5 6 10 11 15 88341845 719895666
output:
0.341541058762872218 0.169436596665697381 0.489022344571430345
result:
ok 3 numbers
Test #58:
score: 0
Accepted
time: 704ms
memory: 69032kb
input:
7 7 22 657372492 8 20 531193761 10 21 8 22 20 657372492 531193761 21 10
output:
0.283032035858508557 0.214331641402718376 0.502636322738773123
result:
ok 3 numbers
Test #59:
score: 0
Accepted
time: 736ms
memory: 69624kb
input:
7 7 8 559730577 2 23 543514141 3 24 2 8 23 559730577 543514141 24 3
output:
0.283681616583426055 0.222015713449777663 0.494302669966796282
result:
ok 3 numbers
Test #60:
score: 0
Accepted
time: 480ms
memory: 45904kb
input:
7 7 24 416408320 4 25 698151361 24 15 4 24 25 416408320 698151361 15 24
output:
0.297516368442784840 0.247286586967483429 0.455197044589731759
result:
ok 3 numbers