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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#268855 | #7753. Energy Distribution | ucup-team134# | WA | 5ms | 4124kb | C++17 | 4.3kb | 2023-11-28 22:18:56 | 2023-11-28 22:18:57 |
Judging History
answer
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
#define ll long long
#define pb push_back
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define ios ios_base::sync_with_stdio(false);cin.tie(NULL)
#define ld long double
#define li __int128
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
mt19937 rng(13);
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; ///find_by_order(),order_of_key()
template<int D, typename T>struct vec : public vector<vec<D - 1, T>> {template<typename... Args>vec(int n = 0, Args... args) : vector<vec<D - 1, T>>(n, vec<D - 1, T>(args...)) {}};
template<typename T>struct vec<1, T> : public vector<T> {vec(int n = 0, T val = T()) : vector<T>(n, val) {}};
template<class T1,class T2> ostream& operator<<(ostream& os, const pair<T1,T2>& a) { os << '{' << a.f << ", " << a.s << '}'; return os; }
template<class T> ostream& operator<<(ostream& os, const vector<T>& a){os << '{';for(int i=0;i<sz(a);i++){if(i>0&&i<sz(a))os << ", ";os << a[i];}os<<'}';return os;}
template<class T> ostream& operator<<(ostream& os, const deque<T>& a){os << '{';for(int i=0;i<sz(a);i++){if(i>0&&i<sz(a))os << ", ";os << a[i];}os<<'}';return os;}
template<class T> ostream& operator<<(ostream& os, const set<T>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;}
template<class T> ostream& operator<<(ostream& os, const set<T,greater<T> >& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;}
template<class T> ostream& operator<<(ostream& os, const multiset<T>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;}
template<class T> ostream& operator<<(ostream& os, const multiset<T,greater<T> >& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;}
template<class T1,class T2> ostream& operator<<(ostream& os, const map<T1,T2>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;}
int ri(){int x;scanf("%i",&x);return x;}
void rd(int&x){scanf("%i",&x);}
void rd(long long&x){scanf("%lld",&x);}
void rd(double&x){scanf("%lf",&x);}
void rd(long double&x){scanf("%Lf",&x);}
void rd(string&x){cin>>x;}
void rd(char*x){scanf("%s",x);}
template<typename T1,typename T2>void rd(pair<T1,T2>&x){rd(x.first);rd(x.second);}
template<typename T>void rd(vector<T>&x){for(T&p:x)rd(p);}
template<typename C,typename...T>void rd(C&a,T&...args){rd(a);rd(args...);}
//istream& operator>>(istream& is,__int128& a){string s;is>>s;a=0;int i=0;bool neg=false;if(s[0]=='-')neg=true,i++;for(;i<s.size();i++)a=a*10+s[i]-'0';if(neg)a*=-1;return is;}
//ostream& operator<<(ostream& os,__int128 a){bool neg=false;if(a<0)neg=true,a*=-1;ll high=(a/(__int128)1e18);ll low=(a-(__int128)1e18*high);string res;if(neg)res+='-';if(high>0){res+=to_string(high);string temp=to_string(low);res+=string(18-temp.size(),'0');res+=temp;}else res+=to_string(low);os<<res;return os;}
int main()
{
const ld scale=1000000;
int n=ri();
//n=10;
vector<vector<int>> w(n,vector<int>(n));
rd(w);
/*for(int i=0;i<n;i++)for(int j=0;j<i;j++){
w[i][j]=w[j][i]=1000-(rng()%100);
}*/
vector<ld> val(n,(ld)scale/n);
ld best=0;
ll s=clock();
while(clock()-s<700){
shuffle(all(val),rng);
ld trval=0;
for(int i=0;i<n;i++){
for(int j=0;j<i;j++){
trval+=val[i]*val[j]*w[i][j];
}
}
ld trans=scale/2/n;
while(trans>1e-6){
bool improved=0;
for(int i=0;i<n;i++){
if(val[i]<trans)continue;
for(int j=0;j<n;j++){
if(i==j)continue;
ld ch=0;
for(int k=0;k<n;k++){
if(i!=k&&k!=j){
ch-=val[i]*val[k]*w[i][k]+val[j]*val[k]*w[j][k];
ch+=(val[i]-trans)*val[k]*w[i][k]+(val[j]+trans)*val[k]*w[j][k];
}
}
ch-=val[i]*val[j]*w[i][j];
ch+=(val[i]-trans)*(val[j]+trans)*w[i][j];
if(ch>1){
improved=1;
val[i]-=trans;
val[j]+=trans;
trval+=ch;
break;
}
}
}
if(!improved)trans/=2;
}
best=max(best,trval);
}
printf("%.10Lf\n",best/scale/scale);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 4124kb
input:
2 0 1 1 0
output:
0.2500000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 5ms
memory: 3996kb
input:
3 0 2 1 2 0 2 1 2 0
output:
0.5714285714
result:
ok found '0.5714286', expected '0.5714290', error '0.0000004'
Test #3:
score: 0
Accepted
time: 5ms
memory: 4120kb
input:
3 0 1 2 1 0 1 2 1 0
output:
0.5000000000
result:
ok found '0.5000000', expected '0.5000000', error '0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 4120kb
input:
4 0 3 1 0 3 0 1 0 1 1 0 2 0 0 2 0
output:
0.7500000000
result:
ok found '0.7500000', expected '0.7500000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
5 0 0 0 4 4 0 0 2 0 4 0 2 0 2 0 4 0 2 0 0 4 4 0 0 0
output:
1.0000000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
6 0 9 5 5 10 6 9 0 0 0 0 1 5 0 0 0 3 0 5 0 0 0 10 5 10 0 3 10 0 0 6 1 0 5 0 0
output:
2.8571428571
result:
ok found '2.8571429', expected '2.8571430', error '0.0000001'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
7 0 0 0 0 50 10 45 0 0 0 0 0 3 1 0 0 0 0 0 4 16 0 0 0 0 44 0 0 50 0 0 44 0 37 6 10 3 4 0 37 0 2 45 1 16 0 6 2 0
output:
12.5115848007
result:
ok found '12.5115848', expected '12.5115850', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3992kb
input:
8 0 0 56 0 0 58 16 0 0 0 37 20 0 82 0 0 56 37 0 0 98 0 83 0 0 20 0 0 0 0 100 0 0 0 98 0 0 62 29 0 58 82 0 0 62 0 43 0 16 0 83 100 29 43 0 4 0 0 0 0 0 0 4 0
output:
25.0091178965
result:
ok found '25.0091179', expected '25.0091180', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
9 0 0 0 135 0 0 0 448 476 0 0 0 0 0 0 208 17 0 0 0 0 467 1 0 0 0 134 135 0 467 0 0 0 92 369 207 0 0 1 0 0 176 0 235 0 0 0 0 0 176 0 65 363 413 0 208 0 92 0 65 0 0 0 448 17 0 369 235 363 0 0 0 476 0 134 207 0 413 0 0 0
output:
118.9999999998
result:
ok found '119.0000000', expected '119.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
10 0 0 0 289 0 397 0 0 140 155 0 0 28 101 35 614 0 0 545 300 0 28 0 0 329 702 0 242 0 298 289 101 0 0 0 0 0 0 720 0 0 35 329 0 0 0 0 38 0 0 397 614 702 0 0 0 229 0 0 0 0 0 0 0 0 229 0 317 0 0 0 0 242 0 38 0 317 0 961 309 140 545 0 720 0 0 0 961 0 92 155 300 298 0 0 0 0 309 92 0
output:
240.2500000000
result:
ok found '240.2500000', expected '240.2500000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
10 0 295 2 809 333 880 284 305 41 295 295 0 512 1000 281 153 42 550 962 930 2 512 0 727 709 969 665 973 301 410 809 1000 727 0 282 551 960 804 274 956 333 281 709 282 0 613 505 406 896 441 880 153 969 551 613 0 769 770 40 288 284 42 665 960 505 769 0 919 989 490 305 550 973 804 406 770 919 0 400 209...
output:
327.3736589667
result:
ok found '327.3736590', expected '327.3736590', error '0.0000000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
10 0 403 2 164 0 399 279 156 109 472 403 0 292 279 100 326 153 124 103 426 2 292 0 0 58 87 0 177 324 334 164 279 0 0 256 188 0 257 467 23 0 100 58 256 0 453 75 21 0 309 399 326 87 188 453 0 0 319 395 434 279 153 0 0 75 0 0 342 431 72 156 124 177 257 21 319 342 0 265 0 109 103 324 467 0 395 431 265 0...
output:
155.3703581450
result:
ok found '155.3703581', expected '155.3703580', error '0.0000000'
Test #13:
score: -100
Wrong Answer
time: 1ms
memory: 3836kb
input:
10 0 3 10 8 0 3 3 8 9 6 3 0 6 10 0 10 9 9 4 9 10 6 0 7 1 5 6 8 0 0 8 10 7 0 10 6 0 6 9 4 0 0 1 10 0 1 0 2 0 1 3 10 5 6 1 0 6 4 0 4 3 9 6 0 0 6 0 10 0 8 8 9 8 6 2 4 10 0 0 2 9 4 0 9 0 0 0 0 0 10 6 9 0 4 1 4 8 2 10 0
output:
3.0213640099
result:
wrong answer 1st numbers differ - expected: '3.1332740', found: '3.0213640', error = '0.0357166'