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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _Bound_Ps(P, s):
 """Region definition for input P and s Parameters P : float Pressure, [MPa] s : float Specific entropy, [kJ/kgK] Returns ------- region : float IAPWS-97 region code References Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0. Fig. 2.9 """

    region = None
    if Pmin <= P <= Ps_623:
        smin = _Region1(273.15, P)["s"]
        s14 = _Region1(_TSat_P(P), P)["s"]
        s24 = _Region2(_TSat_P(P), P)["s"]
        s25 = _Region2(1073.15, P)["s"]
        smax = _Region5(2273.15, P)["s"]
        if smin <= s <= s14:
            region = 1
        elif s14 < s < s24:
            region = 4
        elif s24 <= s <= s25:
            region = 2
        elif s25 < s <= smax:
            region = 5
    elif Ps_623 < P < Pc:
        smin = _Region1(273.15, P)["s"]
        s13 = _Region1(623.15, P)["s"]
        s32 = _Region2(_t_P(P), P)["s"]
        s25 = _Region2(1073.15, P)["s"]
        smax = _Region5(2273.15, P)["s"]
        if smin <= s <= s13:
            region = 1
        elif s13 < s < s32:
            try:
                p34 = _PSat_s(s)
            except NotImplementedError:
                p34 = Pc
            if P < p34:
                region = 4
            else:
                region = 3
        elif s32 <= s <= s25:
            region = 2
        elif s25 < s <= smax:
            region = 5
    elif Pc <= P <= 100:
        smin = _Region1(273.15, P)["s"]
        s13 = _Region1(623.15, P)["s"]
        s32 = _Region2(_t_P(P), P)["s"]
        s25 = _Region2(1073.15, P)["s"]
        smax = _Region5(2273.15, P)["s"]
        if smin <= s <= s13:
            region = 1
        elif s13 < s < s32:
            region = 3
        elif s32 <= s <= s25:
            region = 2
        elif P <= 50 and s25 <= s <= smax:
            region = 5
    return region