QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#84245 | #5444. Tavern Chess | Svyat | AC ✓ | 2956ms | 247364kb | C++17 | 3.9kb | 2023-03-06 03:11:23 | 2023-03-06 03:11:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
int n, m, aa[11], bb[11];
vector<pair<int, int>> a, b;
using shit = pair<vector<pair<int, int>>, vector<pair<int, int>>>;
struct Hasher
{
std::size_t operator()(const shit& k) const
{
using std::hash;
size_t h = 0;
for (auto &it : k.first) {
h = h * 31 + hash<int>()(it.first);
h = h * 31 + hash<int>()(it.second);
}
for (auto &it : k.second) {
h = h * 31 + hash<int>()(it.first);
h = h * 31 + hash<int>()(it.second);
}
return h;
}
};
unordered_map<pair<vector<pair<int, int>>, vector<pair<int, int>>>, pair<double, double>, Hasher> dp[2][7][7];
pair<double, double> solve(vector<pair<int, int>> a, vector<pair<int, int>> b, int pos1, int pos2, bool f) {
if (a.size() == 0 && b.size() == 0)
return {0.0, 0.0};
if (a.size() == 0)
return {0.0, 1.0};
if (b.size() == 0)
return {1.0, 0.0};
if (dp[f][pos1][pos2].find({a, b}) != dp[f][pos1][pos2].end())
return dp[f][pos1][pos2][{a, b}];
pair<double, double> res = {0.0, 0.0};
if (!f) {
int mn = n, pp = -1;
for (int i = 0; i < (int)a.size(); ++i) {
if ((a[i].second - pos1 + n) % n < mn) {
mn = (a[i].second - pos1 + n) % n;
pp = i;
}
}
for (int i = 0; i < (int)b.size(); ++i) {
vector<pair<int, int>> toa, tob;
for (int j = 0; j < (int)a.size(); ++j) {
if (j == pp && a[pp].first - bb[b[i].second] > 0)
toa.push_back({a[pp].first - bb[b[i].second], a[pp].second});
if (j == pp)
continue;
toa.push_back({a[j].first, a[j].second});
}
for (int j = 0; j < (int)b.size(); ++j) {
if (j == i && b[i].first - aa[a[pp].second] > 0)
tob.push_back({b[i].first - aa[a[pp].second], b[i].second});
if (j == i)
continue;
tob.push_back({b[j].first, b[j].second});
}
auto cur = solve(toa, tob, (a[pp].second + 1) % n, pos2, f ^ 1);
res.first += cur.first;
res.second += cur.second;
}
res.first /= b.size() * 1.0;
res.second /= b.size() * 1.0;
} else {
int mn = m, pp = -1;
for (int i = 0; i < (int)b.size(); ++i) {
if ((b[i].second - pos2 + m) % m < mn) {
mn = (b[i].second - pos2 + m) % m;
pp = i;
}
}
for (int i = 0; i < (int)a.size(); ++i) {
vector<pair<int, int>> toa, tob;
for (int j = 0; j < (int)b.size(); ++j) {
if (j == pp && b[pp].first - aa[a[i].second] > 0)
tob.push_back({b[pp].first - aa[a[i].second], b[pp].second});
if (j == pp)
continue;
tob.push_back({b[j].first, b[j].second});
}
for (int j = 0; j < (int)a.size(); ++j) {
if (j == i && a[i].first - bb[b[pp].second] > 0)
toa.push_back({a[i].first - bb[b[pp].second], a[i].second});
if (j == i)
continue;
toa.push_back({a[j].first, a[j].second});
}
auto cur = solve(toa, tob, pos1, (b[pp].second + 1) % m, f ^ 1);
res.first += cur.first;
res.second += cur.second;
}
res.first /= a.size() * 1.0;
res.second /= a.size() * 1.0;
}
return dp[f][pos1][pos2][{a, b}] = res;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout << setprecision(12) << fixed;
#ifdef LOCAL
freopen("xxx.in", "r", stdin);
freopen("xxx.out", "w", stdout);
#endif
cin >> n >> m;
for (int i = 0; i < n; ++i) {
cin >> aa[i];
a.push_back({aa[i], i});
}
for (int i = 0; i < m; ++i) {
cin >> bb[i];
b.push_back({bb[i], i});
}
pair<double, double> res = {0.0, 0.0};
if (n < m)
res = solve(a, b, 0, 0, 1);
if (n > m)
res = solve(a, b, 0, 0, 0);
if (n == m) {
auto res1 = solve(a, b, 0, 0, 0);
auto res2 = solve(a, b, 0, 0, 1);
res.first = (res1.first + res2.first) / 2.0;
res.second = (res1.second + res2.second) / 2.0;
}
cout << res.first << "\n" << res.second << "\n" << (1.0 - res.first - res.second) << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3544kb
input:
2 3 2 5 3 4 1
output:
0.125000000000 0.750000000000 0.125000000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 6ms
memory: 4592kb
input:
6 6 1 1 4 5 1 4 1 1 4 5 1 4
output:
0.241867283951 0.241867283951 0.516265432099
result:
ok 3 numbers
Test #3:
score: 0
Accepted
time: 3ms
memory: 3776kb
input:
7 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #4:
score: 0
Accepted
time: 2ms
memory: 3680kb
input:
1 7 7 1 1 1 1 1 1 1
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #5:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
2 3 736618938 652769331 328875880 97571721 44608905
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #6:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
5 4 53585130 731696211 668322278 611205195 158818781 569587984 776042583 745745433 330119007
output:
0.066840277778 0.664351851852 0.268807870370
result:
ok 3 numbers
Test #7:
score: 0
Accepted
time: 2ms
memory: 3576kb
input:
7 2 578505806 551611151 92903265 403642038 542119417 57334031 307573613 897644535 168524310
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #8:
score: 0
Accepted
time: 5ms
memory: 5068kb
input:
5 6 113196606 64768263 772808463 787707989 500151952 481840741 676847825 4641268 431386165 847736311 169677832
output:
0.136323173868 0.522397183642 0.341279642490
result:
ok 3 numbers
Test #9:
score: 0
Accepted
time: 48ms
memory: 11948kb
input:
6 6 260666773 527612597 471926610 702232282 559007797 606173983 560573055 928117268 101411867 875949818 907478252 182117037
output:
0.000000000000 0.960819573045 0.039180426955
result:
ok 3 numbers
Test #10:
score: 0
Accepted
time: 2ms
memory: 3692kb
input:
3 3 333377599 3066695 67916629 426841530 865184552 974638244
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #11:
score: 0
Accepted
time: 0ms
memory: 3488kb
input:
1 1 529429019 529428649
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #12:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
3 3 12886596 817437415 465037461 12886473 817437448 465037967
output:
0.069444444444 0.652777777778 0.277777777778
result:
ok 3 numbers
Test #13:
score: 0
Accepted
time: 70ms
memory: 16576kb
input:
6 6 211213374 319527017 257080158 176742665 53109345 33822515 53109265 319527076 176743175 257080012 211212799 33822353
output:
0.423399959276 0.319386584791 0.257213455933
result:
ok 3 numbers
Test #14:
score: 0
Accepted
time: 2ms
memory: 3572kb
input:
1 2 1 1 1
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #15:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
1 2 1 1 3
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #16:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
1 2 2 4 2
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #17:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
1 2 3 5 5
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #18:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
1 2 4 1 2
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #19:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
1 2 5 2 5
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #20:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
1 2 5 5 5
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #21:
score: 0
Accepted
time: 2ms
memory: 3512kb
input:
2 2 1 1 1 3
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #22:
score: 0
Accepted
time: 2ms
memory: 3516kb
input:
2 2 1 1 2 3
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #23:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
2 2 1 4 2 5
output:
0.000000000000 0.500000000000 0.500000000000
result:
ok 3 numbers
Test #24:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
2 2 2 2 1 4
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #25:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
2 2 3 2 4 1
output:
0.000000000000 0.500000000000 0.500000000000
result:
ok 3 numbers
Test #26:
score: 0
Accepted
time: 2ms
memory: 3556kb
input:
2 2 3 3 1 3
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #27:
score: 0
Accepted
time: 2ms
memory: 3584kb
input:
2 2 3 3 2 4
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #28:
score: 0
Accepted
time: 2ms
memory: 3516kb
input:
2 2 3 3 5 3
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #29:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
2 2 4 3 2 1
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #30:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
2 2 4 3 4 4
output:
0.000000000000 1.000000000000 0.000000000000
result:
ok 3 numbers
Test #31:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
2 2 5 1 5 2
output:
0.125000000000 0.625000000000 0.250000000000
result:
ok 3 numbers
Test #32:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
2 2 5 1 5 3
output:
0.125000000000 0.625000000000 0.250000000000
result:
ok 3 numbers
Test #33:
score: 0
Accepted
time: 2ms
memory: 3504kb
input:
2 2 5 2 2 3
output:
0.875000000000 0.000000000000 0.125000000000
result:
ok 3 numbers
Test #34:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
2 2 5 4 1 2
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #35:
score: 0
Accepted
time: 2ms
memory: 3688kb
input:
2 2 5 4 3 5
output:
0.875000000000 0.000000000000 0.125000000000
result:
ok 3 numbers
Test #36:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
2 2 5 5 1 4
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #37:
score: 0
Accepted
time: 2ms
memory: 3520kb
input:
2 2 5 5 2 2
output:
1.000000000000 0.000000000000 0.000000000000
result:
ok 3 numbers
Test #38:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
1 1 6 6
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #39:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
5 5 6 5 9 9 3 3 5 9 9 6
output:
0.297870370370 0.278773148148 0.423356481481
result:
ok 3 numbers
Test #40:
score: 0
Accepted
time: 28ms
memory: 8732kb
input:
6 6 10 2 3 4 5 7 5 2 4 3 10 7
output:
0.254010456854 0.192773705418 0.553215837727
result:
ok 3 numbers
Test #41:
score: 0
Accepted
time: 259ms
memory: 31300kb
input:
7 7 7 6 8 6 7 3 9 7 6 9 8 7 3 6
output:
0.310913751426 0.365768367914 0.323317880660
result:
ok 3 numbers
Test #42:
score: 0
Accepted
time: 13ms
memory: 6112kb
input:
6 6 5 4 7 9 9 10 9 4 9 7 5 10
output:
0.216942435057 0.327856545782 0.455201019162
result:
ok 3 numbers
Test #43:
score: 0
Accepted
time: 2ms
memory: 3556kb
input:
4 4 9 7 10 6 9 7 6 10
output:
0.330873842593 0.262297453704 0.406828703704
result:
ok 3 numbers
Test #44:
score: 0
Accepted
time: 2ms
memory: 3696kb
input:
3 3 3 10 3 3 10 3
output:
0.187500000000 0.187500000000 0.625000000000
result:
ok 3 numbers
Test #45:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
2 2 3 4 3 4
output:
0.000000000000 0.000000000000 1.000000000000
result:
ok 3 numbers
Test #46:
score: 0
Accepted
time: 509ms
memory: 52424kb
input:
7 7 922750124 99645786 685060385 948410807 266950246 996521461 883971852 266950246 99645786 883971852 685060385 922750124 996521461 948410807
output:
0.363356371416 0.279566405512 0.357077223072
result:
ok 3 numbers
Test #47:
score: 0
Accepted
time: 1183ms
memory: 108568kb
input:
7 7 241155912 361580213 393947982 781406405 485516551 277202028 115028196 485516551 361580213 115028196 393947982 241155912 277202028 781406405
output:
0.370176093600 0.278789945304 0.351033961097
result:
ok 3 numbers
Test #48:
score: 0
Accepted
time: 325ms
memory: 36824kb
input:
7 7 565748008 734938287 873800405 879803305 473331973 893190834 623040014 473331973 734938287 623040014 873800405 565748008 893190834 879803305
output:
0.364305908017 0.315603554227 0.320090537756
result:
ok 3 numbers
Test #49:
score: 0
Accepted
time: 927ms
memory: 84340kb
input:
7 7 14 4 6 5 201506030 15 15 4 14 201506030 15 15 6 5
output:
0.178183791652 0.337081509870 0.484734698478
result:
ok 3 numbers
Test #50:
score: 0
Accepted
time: 659ms
memory: 60784kb
input:
7 7 3 2 3 5 784861968 2 1 2 3 784861968 1 2 3 5
output:
0.223075021873 0.316151580233 0.460773397894
result:
ok 3 numbers
Test #51:
score: 0
Accepted
time: 2956ms
memory: 247364kb
input:
7 7 8 15 3 9 168061718 2 5 15 8 168061718 5 2 3 9
output:
0.212969595988 0.319962995067 0.467067408945
result:
ok 3 numbers
Test #52:
score: 0
Accepted
time: 479ms
memory: 53776kb
input:
7 7 859736717 19 19 18 13 10 7 7 10 13 18 19 19 859736717
output:
0.393620652595 0.147967266252 0.458412081153
result:
ok 3 numbers
Test #53:
score: 0
Accepted
time: 849ms
memory: 85004kb
input:
7 7 761045932 18 13 11 9 7 6 6 7 9 11 13 18 761045932
output:
0.382467689555 0.147493238655 0.470039071790
result:
ok 3 numbers
Test #54:
score: 0
Accepted
time: 982ms
memory: 92960kb
input:
7 7 379524878 17 16 14 10 6 1 1 6 10 14 16 17 379524878
output:
0.379260293300 0.176536722080 0.444202984620
result:
ok 3 numbers
Test #55:
score: 0
Accepted
time: 614ms
memory: 62300kb
input:
7 7 986258805 329018732 16 14 10 10 4 4 10 10 14 16 329018732 986258805
output:
0.335206523508 0.168228186482 0.496565290010
result:
ok 3 numbers
Test #56:
score: 0
Accepted
time: 655ms
memory: 68080kb
input:
7 7 402437510 39859989 20 20 18 17 7 7 17 18 20 20 39859989 402437510
output:
0.328699473643 0.160263058269 0.511037468088
result:
ok 3 numbers
Test #57:
score: 0
Accepted
time: 1166ms
memory: 105296kb
input:
7 7 719895666 88341845 15 11 10 6 5 5 6 10 11 15 88341845 719895666
output:
0.341541058763 0.169436596666 0.489022344571
result:
ok 3 numbers
Test #58:
score: 0
Accepted
time: 2572ms
memory: 209352kb
input:
7 7 22 657372492 8 20 531193761 10 21 8 22 20 657372492 531193761 21 10
output:
0.283032035859 0.214331641403 0.502636322739
result:
ok 3 numbers
Test #59:
score: 0
Accepted
time: 2120ms
memory: 183088kb
input:
7 7 8 559730577 2 23 543514141 3 24 2 8 23 559730577 543514141 24 3
output:
0.283681616583 0.222015713450 0.494302669967
result:
ok 3 numbers
Test #60:
score: 0
Accepted
time: 1530ms
memory: 130440kb
input:
7 7 24 416408320 4 25 698151361 24 15 4 24 25 416408320 698151361 15 24
output:
0.297516368443 0.247286586967 0.455197044590
result:
ok 3 numbers