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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#638856 | #7753. Energy Distribution | ShwStone | WA | 457ms | 4104kb | C++14 | 1.5kb | 2024-10-13 17:06:08 | 2024-10-13 17:06:08 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int MAXN(15), MAXEPOCH(3e6);
int n;
double A[MAXN][MAXN], M[MAXN][MAXN];
double u[MAXN], v[MAXN];
double du[MAXN], dv[MAXN];
double myexp(double x) {
if (x > 1e36) return 1e36;
else if (x < -1e36) return 1e-36;
return exp(x);
}
int main() {
scanf("%d", &n);
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
scanf("%lf", &A[i][j]);
}
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
M[i][j] = A[i][j];
}
}
for (double rate = 1. / n; rate >= 0.01; rate /= 10) {
for (int epoch = 0; epoch < MAXEPOCH; epoch++) {
double sumv = 0;
for (int i = 1; i <= n; i++) sumv += myexp(v[i]);
for (int i = 1; i <= n; i++) u[i] = myexp(v[i]) / sumv;
for (int i = 1; i <= n; i++) {
du[i] = 0;
for (int j = 1; j <= n; j++) {
du[i] += M[i][j] * u[j];
}
}
for (int i = 1; i <= n; i++) {
dv[i] = 0;
for (int j = 1; j <= n; j++) {
if (i == j) dv[i] += du[j] * u[j] * (1 - u[j]);
else dv[i] -= du[j] * u[i] * u[j];
}
}
for (int i = 1; i <= n; i++) v[i] += rate * dv[i];
}
}
double sumv = 0;
for (int i = 1; i <= n; i++) sumv += exp(v[i]);
for (int i = 1; i <= n; i++) u[i] = exp(v[i]) / sumv;
double ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = i + 1; j <= n; j++) {
ans += u[i] * u[j] * A[i][j];
}
}
printf("%.9lf\n", ans);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 188ms
memory: 4040kb
input:
2 0 1 1 0
output:
0.250000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 326ms
memory: 4104kb
input:
3 0 2 1 2 0 2 1 2 0
output:
0.571428571
result:
ok found '0.5714286', expected '0.5714290', error '0.0000004'
Test #3:
score: 0
Accepted
time: 336ms
memory: 4096kb
input:
3 0 1 2 1 0 1 2 1 0
output:
0.499999848
result:
ok found '0.4999998', expected '0.5000000', error '0.0000002'
Test #4:
score: -100
Wrong Answer
time: 457ms
memory: 4084kb
input:
4 0 3 1 0 3 0 1 0 1 1 0 2 0 0 2 0
output:
0.749998788
result:
wrong answer 1st numbers differ - expected: '0.7500000', found: '0.7499988', error = '0.0000012'