PROGRAM ex13_1
IMPLICIT NONE
INTEGER :: a, b
REAL :: X1, X2, Xmax, eps, h, x,F1, F2
READ *, a, b
X1 = 0.0
X2 = MIN(a, b) / 2.0
eps = 0.01
h = (X2 - X1) / 3.0
Xmax = (X1 + X2) / 2.0
DO
IF (ABS(X2 - X1) < eps) EXIT
F1 = (a - 2.0*(X1+h))*(b - 2.0*(X1+h))*(X1+h)
F2 = (a - 2.0*(X2-h))*(b - 2.0*(X2-h))*(X2-h)
IF (F1 < F2) THEN
X1 = X1 + h
ELSE
X2 = X2 - h
END IF
h = (X2 - X1) / 3.0
Xmax = (X1 + X2) / 2.0
PRINT *, Xmax, (a - 2.0*Xmax)*(b - 2.0*Xmax)*Xmax
END DO
END PROGRAM ex13_1
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