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Cod sursa(job #186387)
#include <fstream>
#include <iomanip>
#include <cmath>
using namespace std;
const int MAX_D = 151;
const double MAX_AVG = 15000000.;
const double EPS = 0.0001;
const double INF = 1.e50;
ifstream in("balans.in");
ofstream out("balans.out");
int M, N, R, C;
int A[MAX_D << 1][MAX_D << 1];
int S[MAX_D << 1];
double T[MAX_D << 1];
double balans = 0.;
void read() {
in >> M >> N >> R >> C;
for(int i = 1; i <= M; ++i)
for(int j = 1; j <= N; ++j) {
in >> A[i][j];
A[i + M][j] = A[i][j + N] = A[i + M][j + N] = A[i][j];
}
for(int i = 1; i <= 2 * M; ++i)
for(int j = 1; j <= 2 * N; ++j)
A[i][j] += A[i - 1][j];
}
double max_sum(double X) {
for(int i = 1; i <= 2 * N; ++i)
T[i] = T[i - 1] + S[i] - X;
double sum = -INF, t = INF;
for(int i = C; i <= 2 * N; ++i) {
t = min(t, T[i - C]);
sum = max(sum, T[i] - t);
}
return sum;
}
double binary_search(double lo, double hi) {
double X = max_sum((lo + hi) / 2.);
if(fabs(X) < EPS)
return (lo + hi) / 2.;
if(X < 0.)
return binary_search(lo, (lo + hi) / 2.);
else
return binary_search((lo + hi) / 2., hi);
}
void solve() {
if(!R) ++R;
if(!C) ++C;
for(; R <= M; ++R)
for(int i = 1; i <= M; ++i) {
for(int j = 1; j <= 2 * N; ++j)
S[j] = A[i + R - 1][j] - A[i - 1][j];
balans = max(balans, binary_search(1, MAX_AVG) / R);
}
}
int main() {
read();
solve();
out << fixed << setprecision(3) << floor(balans * 1000.) / 1000. << "\n";
return 0;
}