QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#650406 | #7753. Energy Distribution | Lavender_Field | AC ✓ | 1ms | 3944kb | C++20 | 2.5kb | 2024-10-18 15:00:11 | 2024-10-31 10:30:25 |
Judging History
answer
#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i = a; i <= b; ++i)
#define ROF(i,a,b) for(int i = a; i >= b; --i)
using namespace std;
inline int rd() {
int r = 0; bool w = false; char ch = getchar();
while( ch < '0' || ch > '9' ) w = !(ch^45), ch = getchar();
while( ch >= '0' && ch <= '9' ) r = (r<<1) + (r<<3) + (ch^48), ch = getchar();
return w ? -r : r;
}
#define MAXN 10
const double eps = 1e-9;
int n;
int w[MAXN+5][MAXN+5];
double a[MAXN+5][MAXN+5];
void cal( int n ) { // n 个方程的高斯消元
FOR(i,1,n) {
int cons = i;
FOR(j,i+1,n) {
if( fabs(a[j][i]) > fabs(a[cons][i]) ) cons = j;
}
if( cons != i ) {
for(int j = 1; j <= n+1; j++)
swap(a[i][j], a[cons][j]);
}
if( fabs(a[i][i]) < eps ) {
// puts("No Solution");
return;
}
FOR(j,1,n) {
if( j == i ) continue;
double con = -a[j][i] / a[i][i];
FOR(k,i,n+1) a[j][k] += con * a[i][k];
}
}
FOR(i,1,n) {
a[i][n+1] /= a[i][i];
}
}
int popcount( int x ) {
int ret = 0;
while( x ) ret += x&1, x >>= 1;
return ret;
}
int main() {
n = rd();
FOR(i,1,n) FOR(j,1,n) {
w[i][j] = rd();
}
double ans = 0;
int ag = 0;
for(int s = 1; s < 1 << n; ++s) { // 枚举不为 0 的变量
int prime = 0, eqcnt = 0;
for(int i = 1; i <= n; ++i) if( (s >> (i-1)) & 1 ) {
if( !prime ) {
prime = i;
} else {
++eqcnt;
FOR(j,1,n+1) a[eqcnt][j] = 0;
FOR(j, 1, prime-1) a[eqcnt][j] += w[j][prime];
FOR(j, prime+1, n) a[eqcnt][j] += w[prime][j];
FOR(j, 1, i-1) a[eqcnt][j] -= w[j][i];
FOR(j, i+1, n) a[eqcnt][j] -= w[i][j];
}
} else {
++eqcnt;
FOR(j, 1, n+1) a[eqcnt][j] = 0;
a[eqcnt][i] = 1;
}
++eqcnt;
FOR(j, 1, n+1) a[eqcnt][j] = 1;
cal(n);
double now = 0; bool flag = true;
FOR(i,1,n) {
if( a[i][n+1] < -eps || a[i][n+1] > 1 + eps ) {
flag = false;
break;
}
}
if( flag ) {
FOR(i,1,n) FOR(j,i+1,n) now += a[i][n+1] * a[j][n+1] * w[i][j];
if( now > ans ) ans = now, ag = s;
}
}
// assert(ag + 1 == 1 << n);
printf("%.7lf", 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: 3944kb
input:
2 0 1 1 0
output:
0.2500000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
3 0 2 1 2 0 2 1 2 0
output:
0.5714286
result:
ok found '0.5714286', expected '0.5714290', error '0.0000004'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
3 0 1 2 1 0 1 2 1 0
output:
0.5000000
result:
ok found '0.5000000', expected '0.5000000', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
4 0 3 1 0 3 0 1 0 1 1 0 2 0 0 2 0
output:
0.7500000
result:
ok found '0.7500000', expected '0.7500000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3892kb
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:
1.0000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3716kb
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:
2.8571429
result:
ok found '2.8571429', expected '2.8571430', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3888kb
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:
12.5115848
result:
ok found '12.5115848', expected '12.5115850', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3880kb
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:
25.0091179
result:
ok found '25.0091179', expected '25.0091180', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3780kb
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:
119.0000000
result:
ok found '119.0000000', expected '119.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3880kb
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:
240.2500000
result:
ok found '240.2500000', expected '240.2500000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3888kb
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:
327.3736590
result:
ok found '327.3736590', expected '327.3736590', error '0.0000000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3828kb
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:
155.3703581
result:
ok found '155.3703581', expected '155.3703580', error '0.0000000'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3816kb
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:
3.1332737
result:
ok found '3.1332737', expected '3.1332740', error '0.0000001'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3836kb
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:
29.5429468
result:
ok found '29.5429468', expected '29.5429470', error '0.0000000'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3944kb
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:
59.3834105
result:
ok found '59.3834105', expected '59.3834100', error '0.0000000'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3888kb
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:
226.0000000
result:
ok found '226.0000000', expected '226.0000000', error '0.0000000'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3816kb
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:
272.2710567
result:
ok found '272.2710567', expected '272.2710570', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3944kb
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:
1.2500000
result:
ok found '1.2500000', expected '1.2500000', error '0.0000000'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3896kb
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:
0.2500000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3816kb
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:
245.5000000
result:
ok found '245.5000000', expected '245.5000000', error '0.0000000'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3876kb
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:
0.0000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Extra Test:
score: 0
Extra Test Passed