QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#638973 | #7753. Energy Distribution | Yeyin_0 | AC ✓ | 29ms | 3976kb | C++23 | 2.2kb | 2024-10-13 17:28:11 | 2024-10-31 10:30:00 |
Judging History
This is the latest submission verdict.
- [2024-10-31 10:22:30]
- hack成功,自动添加数据
- (/hack/1089)
- [2024-10-13 17:28:11]
- Submitted
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define OPFI(x) freopen(#x".in", "r", stdin);\
freopen(#x".out", "w", stdout)
#define REP(i, a, b) for(int i=(a); i<=(b); ++i)
#define REPd(i, a, b) for(int i=(a); i>=(b); --i)
inline ll rd(){
ll r=0, k=1; char c=0; while(!isdigit(c=getchar())) if(c=='-') k=-k;
while(isdigit(c)) r=r*10+c-'0', c=getchar(); return r*k;
}
const int N=110;
ll n, w[N][N];
double a[N][N], b[N];
bool check(double lmd, int state){
REP(i, 1, n){
if((state>>(i-1))&1)
{
REP(j, 1, n) a[i][j]=w[i][j];
b[i]=lmd;
}
else
{
REP(j, 1, n)
if(i==j) a[i][j]=1;
else a[i][j]=0;
b[i]=0;
}
}
REP(i, 1, n){
int t=i;
REP(j, i+1, n) if(abs(a[j][i])>1e-7&&(abs(a[t][i])>abs(a[j][i])||abs(a[t][i])<1e-7)) t=j;
REP(j, i, n) swap(a[t][j], a[i][j]);
if(abs(a[i][i])<1e-8){
return 0;
}
swap(b[t], b[i]);
double e=a[i][i];
REP(j, i, n) a[i][j]/=e;
b[i]/=e;
REP(j, i+1, n){
double d=a[j][i];
REP(k, i, n) a[j][k]-=d*a[i][k];
b[j]-=d*b[i];
}
}
REPd(i, n, 1) REP(j, 1, i-1) b[j]-=a[j][i]*b[i], a[j][i]=0;
double sum=0;
REP(i, 1, n) sum+=b[i];
return sum<1;
}
int main(){
//OPFI(test);
n=rd();
REP(i, 1, n)
REP(j, 1, n)
w[i][j]=rd();
double Ans=0;
REP(i,1,(1<<n)-1)
{
double l=0, r=1e6;
while(r-l>1e-10){
double mid=(l+r)/2;
if(check(mid,i)){
l=mid;
}else{
r=mid;
}
}
double ans=0;
REP(i, 1, n)
{
if(b[i]<-1e-7||b[i]>1+1e-7) goto out;
}
REP(i, 1, n) REP(j, i+1, n) ans+=b[i]*b[j]*w[i][j];
//REP(i, 1, n) cerr<<b[i]<<endl;
Ans=max(Ans,ans);
/*if(ans==Ans)
{
REP(i,1,n) cout<<b[i]<<" ";
cout<<endl;
}*/
out:;
}
printf("%.10f\n", Ans);
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3828kb
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: 0ms
memory: 3960kb
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: 1ms
memory: 3900kb
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: 0ms
memory: 3896kb
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: 3960kb
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: 3788kb
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:
2.8571428572
result:
ok found '2.8571429', expected '2.8571430', error '0.0000000'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3908kb
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: 4ms
memory: 3900kb
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: 9ms
memory: 3912kb
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:
119.0000000000
result:
ok found '119.0000000', expected '119.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 24ms
memory: 3908kb
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:
240.2500000001
result:
ok found '240.2500000', expected '240.2500000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 29ms
memory: 3800kb
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: 28ms
memory: 3856kb
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: 0
Accepted
time: 28ms
memory: 3852kb
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:
3.1332737030
result:
ok found '3.1332737', expected '3.1332740', error '0.0000001'
Test #14:
score: 0
Accepted
time: 28ms
memory: 3912kb
input:
10 0 52 25 22 39 47 85 63 8 2 52 0 0 87 2 20 50 87 88 6 25 0 0 77 27 58 81 0 98 0 22 87 77 0 28 0 49 53 59 0 39 2 27 28 0 0 65 76 0 0 47 20 58 0 0 0 88 0 0 3 85 50 81 49 65 88 0 60 85 1 63 87 0 53 76 0 60 0 76 88 8 88 98 59 0 0 85 76 0 0 2 6 0 0 0 3 1 88 0 0
output:
29.5429468485
result:
ok found '29.5429468', expected '29.5429470', error '0.0000000'
Test #15:
score: 0
Accepted
time: 24ms
memory: 3976kb
input:
10 0 79 0 192 19 79 0 0 0 0 79 0 0 0 164 100 74 0 26 176 0 0 0 0 184 153 152 0 0 39 192 0 0 0 0 90 54 0 18 0 19 164 184 0 0 195 107 0 8 53 79 100 153 90 195 0 0 124 96 149 0 74 152 54 107 0 0 181 28 0 0 0 0 0 0 124 181 0 0 3 0 26 0 18 8 96 28 0 0 0 0 176 39 0 53 149 0 3 0 0
output:
59.3834104972
result:
ok found '59.3834105', expected '59.3834100', error '0.0000000'
Test #16:
score: 0
Accepted
time: 25ms
memory: 3852kb
input:
10 0 416 0 476 0 0 2 0 204 750 416 0 0 850 0 0 471 0 835 67 0 0 0 0 184 274 0 135 557 709 476 850 0 0 904 0 0 556 0 0 0 0 184 904 0 141 0 0 0 0 0 0 274 0 141 0 0 167 486 0 2 471 0 0 0 0 0 0 617 0 0 0 135 556 0 167 0 0 241 226 204 835 557 0 0 486 617 241 0 0 750 67 709 0 0 0 0 226 0 0
output:
226.0000000000
result:
ok found '226.0000000', expected '226.0000000', error '0.0000000'
Test #17:
score: 0
Accepted
time: 26ms
memory: 3852kb
input:
10 0 777 0 543 382 5 266 0 255 250 777 0 0 0 0 0 566 637 0 469 0 0 0 0 183 671 0 711 335 294 543 0 0 0 929 475 0 925 0 46 382 0 183 929 0 777 674 399 0 732 5 0 671 475 777 0 0 814 453 0 266 566 0 0 674 0 0 0 0 703 0 637 711 925 399 814 0 0 654 928 255 0 335 0 0 453 0 654 0 0 250 469 294 46 732 0 703...
output:
272.2710567423
result:
ok found '272.2710567', expected '272.2710570', error '0.0000000'
Test #18:
score: 0
Accepted
time: 18ms
memory: 3912kb
input:
10 0 1 0 0 0 0 4 0 0 0 1 0 0 2 3 0 5 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 2 3 0 0 3 0 3 0 0 0 0 0 0 0 1 0 0 0 2 0 0 4 0 0 0 4 5 0 3 0 4 0 0 3 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 3 0 0 1 0 0 0 3 1 0 0 5 1 0
output:
1.2500000000
result:
ok found '1.2500000', expected '1.2500000', error '0.0000000'
Test #19:
score: 0
Accepted
time: 14ms
memory: 3968kb
input:
10 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0
output:
0.2500000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #20:
score: 0
Accepted
time: 9ms
memory: 3904kb
input:
10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 622 0 0 0 0 0 0 0 0 622 0 0 0 0 0 0 585 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 982 0 0 0 0 0 0 0 0 0 0 0 0 0 585 0 0 0 982 0 0
output:
245.5000000000
result:
ok found '245.5000000', expected '245.5000000', error '0.0000000'
Test #21:
score: 0
Accepted
time: 8ms
memory: 3904kb
input:
10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Extra Test:
score: 0
Extra Test Passed