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radlwsw.F90 @ 1215

Last change on this file since 1215 was 1215, checked in by lguez, 15 years ago

-- Made "ozonecm" a function instead of a subroutine. Used assumed shape
arguments in "ozonecm".

-- Corrected long name and computation of NetCDF variable "ozone" in
the files "hist*".

-- Corrected comments for ozone variables.

-- In the case "read_climoz", used variables "rmd" and "rmo3" from
"YOMCST.h" instead of writing approximate values.

-- Replaced "real*..." declarations (not conforming to Fortran standard)
by "real(kind=...)" declarations.

-- Replaced value "1./46.6968" in ozone computations by the equivalent
(but clearer) "dobson_u * 1e3" (relative difference ~ 1e-5).

Property svn:eol-style set to native
Property svn:keywords set to Author Date Id Revision

File size: 16.4 KB

Line
1	SUBROUTINE radlwsw( &
2	dist, rmu0, fract, &
3	paprs, pplay,tsol,alb1, alb2, &
4	t,q,wo,&
5	cldfra, cldemi, cldtaupd,&
6	ok_ade, ok_aie,&
7	tau_aero, piz_aero, cg_aero,&
8	cldtaupi, new_aod, &
9	qsat, flwc, fiwc, &
10	heat,heat0,cool,cool0,radsol,albpla,&
11	topsw,toplw,solsw,sollw,&
12	sollwdown,&
13	topsw0,toplw0,solsw0,sollw0,&
14	lwdn0, lwdn, lwup0, lwup,&
15	swdn0, swdn, swup0, swup,&
16	topswad_aero, solswad_aero,&
17	topswai_aero, solswai_aero, &
18	topswad0_aero, solswad0_aero,&
19	topsw_aero, topsw0_aero,&
20	solsw_aero, solsw0_aero)
21
22
23
24	USE DIMPHY
25
26	IMPLICIT NONE
27	!======================================================================
28	! Auteur(s): Z.X. Li (LMD/CNRS) date: 19960719
29	! Objet: interface entre le modele et les rayonnements
30	! Arguments:
31	! dist-----input-R- distance astronomique terre-soleil
32	! rmu0-----input-R- cosinus de l'angle zenithal
33	! fract----input-R- duree d'ensoleillement normalisee
34	! co2_ppm--input-R- concentration du gaz carbonique (en ppm)
35	! paprs----input-R- pression a inter-couche (Pa)
36	! pplay----input-R- pression au milieu de couche (Pa)
37	! tsol-----input-R- temperature du sol (en K)
38	! alb1-----input-R- albedo du sol(entre 0 et 1) dans l'interval visible
39	! alb2-----input-R- albedo du sol(entre 0 et 1) dans l'interval proche infra-rouge
40	! t--------input-R- temperature (K)
41	! q--------input-R- vapeur d'eau (en kg/kg)
42	! cldfra---input-R- fraction nuageuse (entre 0 et 1)
43	! cldtaupd---input-R- epaisseur optique des nuages dans le visible (present-day value)
44	! cldemi---input-R- emissivite des nuages dans l'IR (entre 0 et 1)
45	! ok_ade---input-L- apply the Aerosol Direct Effect or not?
46	! ok_aie---input-L- apply the Aerosol Indirect Effect or not?
47	! tau_ae, piz_ae, cg_ae-input-R- aerosol optical properties (calculated in aeropt.F)
48	! cldtaupi-input-R- epaisseur optique des nuages dans le visible
49	! calculated for pre-industrial (pi) aerosol concentrations, i.e. with smaller
50	! droplet concentration, thus larger droplets, thus generally cdltaupi cldtaupd
51	! it is needed for the diagnostics of the aerosol indirect radiative forcing
52	!
53	! heat-----output-R- echauffement atmospherique (visible) (K/jour)
54	! cool-----output-R- refroidissement dans l'IR (K/jour)
55	! radsol---output-R- bilan radiatif net au sol (W/m**2) (+ vers le bas)
56	! albpla---output-R- albedo planetaire (entre 0 et 1)
57	! topsw----output-R- flux solaire net au sommet de l'atm.
58	! toplw----output-R- ray. IR montant au sommet de l'atmosphere
59	! solsw----output-R- flux solaire net a la surface
60	! sollw----output-R- ray. IR montant a la surface
61	! solswad---output-R- ray. solaire net absorbe a la surface (aerosol dir)
62	! topswad---output-R- ray. solaire absorbe au sommet de l'atm. (aerosol dir)
63	! solswai---output-R- ray. solaire net absorbe a la surface (aerosol ind)
64	! topswai---output-R- ray. solaire absorbe au sommet de l'atm. (aerosol ind)
65	!
66	! ATTENTION: swai and swad have to be interpreted in the following manner:
67	! ---------
68	! ok_ade=F & ok_aie=F -both are zero
69	! ok_ade=T & ok_aie=F -aerosol direct forcing is F_{AD} = topsw-topswad
70	! indirect is zero
71	! ok_ade=F & ok_aie=T -aerosol indirect forcing is F_{AI} = topsw-topswai
72	! direct is zero
73	! ok_ade=T & ok_aie=T -aerosol indirect forcing is F_{AI} = topsw-topswai
74	! aerosol direct forcing is F_{AD} = topswai-topswad
75	!
76
77	!======================================================================
78
79	! ====================================================================
80	! Adapte au modele de chimie INCA par Celine Deandreis & Anne Cozic -- 2009
81	! 1 = ZERO
82	! 2 = AER total
83	! 3 = NAT
84	! 4 = BC
85	! 5 = SO4
86	! 6 = POM
87	! 7 = DUST
88	! 8 = SS
89	! 9 = NO3
90	!
91	! ====================================================================
92	include "YOETHF.h"
93	include "YOMCST.h"
94	include "clesphys.h"
95	include "iniprint.h"
96
97	! Input arguments
98	REAL, INTENT(in) :: dist
99	REAL, INTENT(in) :: rmu0(KLON), fract(KLON)
100	REAL, INTENT(in) :: paprs(KLON,KLEV+1), pplay(KLON,KLEV)
101	REAL, INTENT(in) :: alb1(KLON), alb2(KLON), tsol(KLON)
102	REAL, INTENT(in) :: t(KLON,KLEV), q(KLON,KLEV)
103
104	REAL, INTENT(in)::wo(KLON,KLEV)
105	! column-density of ozone in a layer, in kilo-Dobsons
106
107	LOGICAL, INTENT(in) :: ok_ade, ok_aie ! switches whether to use aerosol direct (indirect) effects or not
108	REAL, INTENT(in) :: cldfra(KLON,KLEV), cldemi(KLON,KLEV), cldtaupd(KLON,KLEV)
109	REAL, INTENT(in) :: tau_aero(KLON,KLEV,9,2) ! aerosol optical properties (see aeropt.F)
110	REAL, INTENT(in) :: piz_aero(KLON,KLEV,9,2) ! aerosol optical properties (see aeropt.F)
111	REAL, INTENT(in) :: cg_aero(KLON,KLEV,9,2) ! aerosol optical properties (see aeropt.F)
112	REAL, INTENT(in) :: cldtaupi(KLON,KLEV) ! cloud optical thickness for pre-industrial aerosol concentrations
113	LOGICAL, INTENT(in) :: new_aod ! flag pour retrouver les resultats exacts de l'AR4 dans le cas ou l'on ne travaille qu'avec les sulfates
114	REAL, INTENT(in) :: qsat(klon,klev) ! Variable pour iflag_rrtm=1
115	REAL, INTENT(in) :: flwc(klon,klev) ! Variable pour iflag_rrtm=1
116	REAL, INTENT(in) :: fiwc(klon,klev) ! Variable pour iflag_rrtm=1
117
118	! Output arguments
119	REAL, INTENT(out) :: heat(KLON,KLEV), cool(KLON,KLEV)
120	REAL, INTENT(out) :: heat0(KLON,KLEV), cool0(KLON,KLEV)
121	REAL, INTENT(out) :: radsol(KLON), topsw(KLON), toplw(KLON)
122	REAL, INTENT(out) :: solsw(KLON), sollw(KLON), albpla(KLON)
123	REAL, INTENT(out) :: topsw0(KLON), toplw0(KLON), solsw0(KLON), sollw0(KLON)
124	REAL, INTENT(out) :: sollwdown(KLON)
125	REAL, INTENT(out) :: swdn(KLON,kflev+1),swdn0(KLON,kflev+1)
126	REAL, INTENT(out) :: swup(KLON,kflev+1),swup0(KLON,kflev+1)
127	REAL, INTENT(out) :: lwdn(KLON,kflev+1),lwdn0(KLON,kflev+1)
128	REAL, INTENT(out) :: lwup(KLON,kflev+1),lwup0(KLON,kflev+1)
129	REAL, INTENT(out) :: topswad_aero(KLON), solswad_aero(KLON) ! output: aerosol direct forcing at TOA and surface
130	REAL, INTENT(out) :: topswai_aero(KLON), solswai_aero(KLON) ! output: aerosol indirect forcing atTOA and surface
131	REAL, DIMENSION(klon), INTENT(out) :: topswad0_aero
132	REAL, DIMENSION(klon), INTENT(out) :: solswad0_aero
133	REAL, DIMENSION(kdlon,9), INTENT(out) :: topsw_aero
134	REAL, DIMENSION(kdlon,9), INTENT(out) :: topsw0_aero
135	REAL, DIMENSION(kdlon,9), INTENT(out) :: solsw_aero
136	REAL, DIMENSION(kdlon,9), INTENT(out) :: solsw0_aero
137
138	! Local variables
139	REAL*8 ZFSUP(KDLON,KFLEV+1)
140	REAL*8 ZFSDN(KDLON,KFLEV+1)
141	REAL*8 ZFSUP0(KDLON,KFLEV+1)
142	REAL*8 ZFSDN0(KDLON,KFLEV+1)
143	REAL*8 ZFLUP(KDLON,KFLEV+1)
144	REAL*8 ZFLDN(KDLON,KFLEV+1)
145	REAL*8 ZFLUP0(KDLON,KFLEV+1)
146	REAL*8 ZFLDN0(KDLON,KFLEV+1)
147	REAL*8 zx_alpha1, zx_alpha2
148	INTEGER k, kk, i, j, iof, nb_gr
149	REAL*8 PSCT
150	REAL*8 PALBD(kdlon,2), PALBP(kdlon,2)
151	REAL*8 PEMIS(kdlon), PDT0(kdlon), PVIEW(kdlon)
152	REAL*8 PPSOL(kdlon), PDP(kdlon,KLEV)
153	REAL*8 PTL(kdlon,kflev+1), PPMB(kdlon,kflev+1)
154	REAL*8 PTAVE(kdlon,kflev)
155	REAL*8 PWV(kdlon,kflev), PQS(kdlon,kflev)
156	real(kind=8) POZON(kdlon,kflev) ! mass fraction of ozone
157	REAL*8 PAER(kdlon,kflev,5)
158	REAL*8 PCLDLD(kdlon,kflev)
159	REAL*8 PCLDLU(kdlon,kflev)
160	REAL*8 PCLDSW(kdlon,kflev)
161	REAL*8 PTAU(kdlon,2,kflev)
162	REAL*8 POMEGA(kdlon,2,kflev)
163	REAL*8 PCG(kdlon,2,kflev)
164	REAL*8 zfract(kdlon), zrmu0(kdlon), zdist
165	REAL*8 zheat(kdlon,kflev), zcool(kdlon,kflev)
166	REAL*8 zheat0(kdlon,kflev), zcool0(kdlon,kflev)
167	REAL*8 ztopsw(kdlon), ztoplw(kdlon)
168	REAL*8 zsolsw(kdlon), zsollw(kdlon), zalbpla(kdlon)
169	REAL*8 zsollwdown(kdlon)
170	REAL*8 ztopsw0(kdlon), ztoplw0(kdlon)
171	REAL*8 zsolsw0(kdlon), zsollw0(kdlon)
172	REAL*8 zznormcp
173	REAL*8 tauaero(kdlon,kflev,9,2) ! aer opt properties
174	REAL*8 pizaero(kdlon,kflev,9,2)
175	REAL*8 cgaero(kdlon,kflev,9,2)
176	REAL*8 PTAUA(kdlon,2,kflev) ! present-day value of cloud opt thickness (PTAU is pre-industrial value), local use
177	REAL*8 POMEGAA(kdlon,2,kflev) ! dito for single scatt albedo
178	REAL*8 ztopswadaero(kdlon), zsolswadaero(kdlon) ! Aerosol direct forcing at TOAand surface
179	REAL*8 ztopswad0aero(kdlon), zsolswad0aero(kdlon) ! Aerosol direct forcing at TOAand surface
180	REAL*8 ztopswaiaero(kdlon), zsolswaiaero(kdlon) ! dito, indirect
181	REAL*8 ztopsw_aero(kdlon,9), ztopsw0_aero(kdlon,9)
182	REAL*8 zsolsw_aero(kdlon,9), zsolsw0_aero(kdlon,9)
183	real, parameter:: dobson_u = 2.1415e-05 ! Dobson unit, in kg m-2
184
185
186	! initialisation
187	tauaero(:,:,:,:)=0.
188	pizaero(:,:,:,:)=0.
189	cgaero(:,:,:,:)=0.
190
191	!
192	!-------------------------------------------
193	nb_gr = KLON / kdlon
194	IF (nb_gr*kdlon .NE. KLON) THEN
195	PRINT*, "kdlon mauvais:", KLON, kdlon, nb_gr
196	CALL abort
197	ENDIF
198	IF (kflev .NE. KLEV) THEN
199	PRINT*, "kflev differe de KLEV, kflev, KLEV"
200	CALL abort
201	ENDIF
202	!-------------------------------------------
203	DO k = 1, KLEV
204	DO i = 1, KLON
205	heat(i,k)=0.
206	cool(i,k)=0.
207	heat0(i,k)=0.
208	cool0(i,k)=0.
209	ENDDO
210	ENDDO
211	!
212	zdist = dist
213	!
214	PSCT = solaire/zdist/zdist
215	DO j = 1, nb_gr
216	iof = kdlon*(j-1)
217	DO i = 1, kdlon
218	zfract(i) = fract(iof+i)
219	zrmu0(i) = rmu0(iof+i)
220	PALBD(i,1) = alb1(iof+i)
221	PALBD(i,2) = alb2(iof+i)
222	PALBP(i,1) = alb1(iof+i)
223	PALBP(i,2) = alb2(iof+i)
224	PEMIS(i) = 1.0
225	PVIEW(i) = 1.66
226	PPSOL(i) = paprs(iof+i,1)
227	zx_alpha1 = (paprs(iof+i,1)-pplay(iof+i,2))/(pplay(iof+i,1)-pplay(iof+i,2))
228	zx_alpha2 = 1.0 - zx_alpha1
229	PTL(i,1) = t(iof+i,1) * zx_alpha1 + t(iof+i,2) * zx_alpha2
230	PTL(i,KLEV+1) = t(iof+i,KLEV)
231	PDT0(i) = tsol(iof+i) - PTL(i,1)
232	ENDDO
233	DO k = 2, kflev
234	DO i = 1, kdlon
235	PTL(i,k) = (t(iof+i,k)+t(iof+i,k-1))*0.5
236	ENDDO
237	ENDDO
238	DO k = 1, kflev
239	DO i = 1, kdlon
240	PDP(i,k) = paprs(iof+i,k)-paprs(iof+i,k+1)
241	PTAVE(i,k) = t(iof+i,k)
242	PWV(i,k) = MAX (q(iof+i,k), 1.0e-12)
243	PQS(i,k) = PWV(i,k)
244	POZON(i,k) = MAX(wo(iof+i, k), 1e-12) * RG * dobson_u * 1e3 &
245	/(paprs(iof+i, k) - paprs(iof+i, k+1)) &
246	* (paprs(iof+i, 1) / 101325.)
247	PCLDLD(i,k) = cldfra(iof+i,k)*cldemi(iof+i,k)
248	PCLDLU(i,k) = cldfra(iof+i,k)*cldemi(iof+i,k)
249	PCLDSW(i,k) = cldfra(iof+i,k)
250	PTAU(i,1,k) = MAX(cldtaupi(iof+i,k), 1.0e-05)! 1e-12 serait instable
251	PTAU(i,2,k) = MAX(cldtaupi(iof+i,k), 1.0e-05)! pour 32-bit machines
252	POMEGA(i,1,k) = 0.9999 - 5.0e-04 * EXP(-0.5 * PTAU(i,1,k))
253	POMEGA(i,2,k) = 0.9988 - 2.5e-03 * EXP(-0.05 * PTAU(i,2,k))
254	PCG(i,1,k) = 0.865
255	PCG(i,2,k) = 0.910
256	!-
257	! Introduced for aerosol indirect forcings.
258	! The following values use the cloud optical thickness calculated from
259	! present-day aerosol concentrations whereas the quantities without the
260	! "A" at the end are for pre-industial (natural-only) aerosol concentrations
261	!
262	PTAUA(i,1,k) = MAX(cldtaupd(iof+i,k), 1.0e-05)! 1e-12 serait instable
263	PTAUA(i,2,k) = MAX(cldtaupd(iof+i,k), 1.0e-05)! pour 32-bit machines
264	POMEGAA(i,1,k) = 0.9999 - 5.0e-04 * EXP(-0.5 * PTAUA(i,1,k))
265	POMEGAA(i,2,k) = 0.9988 - 2.5e-03 * EXP(-0.05 * PTAUA(i,2,k))
266	ENDDO
267	ENDDO
268	!
269	DO k = 1, kflev+1
270	DO i = 1, kdlon
271	PPMB(i,k) = paprs(iof+i,k)/100.0
272	ENDDO
273	ENDDO
274	!
275	DO kk = 1, 5
276	DO k = 1, kflev
277	DO i = 1, kdlon
278	PAER(i,k,kk) = 1.0E-15
279	ENDDO
280	ENDDO
281	ENDDO
282	DO k = 1, kflev
283	DO i = 1, kdlon
284	tauaero(i,k,:,1)=tau_aero(iof+i,k,:,1)
285	pizaero(i,k,:,1)=piz_aero(iof+i,k,:,1)
286	cgaero(i,k,:,1) =cg_aero(iof+i,k,:,1)
287	tauaero(i,k,:,2)=tau_aero(iof+i,k,:,2)
288	pizaero(i,k,:,2)=piz_aero(iof+i,k,:,2)
289	cgaero(i,k,:,2) =cg_aero(iof+i,k,:,2)
290	ENDDO
291	ENDDO
292
293	!
294	!===== iflag_rrtm ================================================
295	!
296	IF (iflag_rrtm == 0) THEN
297	! Old radiation scheme, used for AR4 runs
298	CALL LW_LMDAR4(&
299	PPMB, PDP,&
300	PPSOL,PDT0,PEMIS,&
301	PTL, PTAVE, PWV, POZON, PAER,&
302	PCLDLD,PCLDLU,&
303	PVIEW,&
304	zcool, zcool0,&
305	ztoplw,zsollw,ztoplw0,zsollw0,&
306	zsollwdown,&
307	ZFLUP, ZFLDN, ZFLUP0,ZFLDN0)
308
309
310	IF (.NOT. new_aod) THEN
311	! use old version
312	CALL SW_LMDAR4(PSCT, zrmu0, zfract,&
313	PPMB, PDP, &
314	PPSOL, PALBD, PALBP,&
315	PTAVE, PWV, PQS, POZON, PAER,&
316	PCLDSW, PTAU, POMEGA, PCG,&
317	zheat, zheat0,&
318	zalbpla,ztopsw,zsolsw,ztopsw0,zsolsw0,&
319	ZFSUP,ZFSDN,ZFSUP0,ZFSDN0,&
320	tau_aero(:,:,5,:), piz_aero(:,:,5,:), cg_aero(:,:,5,:),&
321	PTAUA, POMEGAA,&
322	ztopswadaero,zsolswadaero,&
323	ztopswaiaero,zsolswaiaero,&
324	ok_ade, ok_aie)
325
326	ELSE ! new_aod=T
327	CALL SW_AEROAR4(PSCT, zrmu0, zfract,&
328	PPMB, PDP,&
329	PPSOL, PALBD, PALBP,&
330	PTAVE, PWV, PQS, POZON, PAER,&
331	PCLDSW, PTAU, POMEGA, PCG,&
332	zheat, zheat0,&
333	zalbpla,ztopsw,zsolsw,ztopsw0,zsolsw0,&
334	ZFSUP,ZFSDN,ZFSUP0,ZFSDN0,&
335	tauaero, pizaero, cgaero, &
336	PTAUA, POMEGAA,&
337	ztopswadaero,zsolswadaero,&
338	ztopswad0aero,zsolswad0aero,&
339	ztopswaiaero,zsolswaiaero, &
340	ztopsw_aero,ztopsw0_aero,&
341	zsolsw_aero,zsolsw0_aero,&
342	ok_ade, ok_aie)
343
344	ENDIF
345
346	ELSE
347	!===== iflag_rrtm=1, on passe dans SW via RECMWFL ===============
348	WRITE(lunout,*) "Option iflag_rrtm=T ne fonctionne pas encore !!!"
349	CALL abort_gcm('radlwsw','iflag_rrtm=T not valid',1)
350
351	ENDIF ! iflag_rrtm
352	!======================================================================
353
354	DO i = 1, kdlon
355	radsol(iof+i) = zsolsw(i) + zsollw(i)
356	topsw(iof+i) = ztopsw(i)
357	toplw(iof+i) = ztoplw(i)
358	solsw(iof+i) = zsolsw(i)
359	sollw(iof+i) = zsollw(i)
360	sollwdown(iof+i) = zsollwdown(i)
361	DO k = 1, kflev+1
362	lwdn0 ( iof+i,k) = ZFLDN0 ( i,k)
363	lwdn ( iof+i,k) = ZFLDN ( i,k)
364	lwup0 ( iof+i,k) = ZFLUP0 ( i,k)
365	lwup ( iof+i,k) = ZFLUP ( i,k)
366	ENDDO
367	topsw0(iof+i) = ztopsw0(i)
368	toplw0(iof+i) = ztoplw0(i)
369	solsw0(iof+i) = zsolsw0(i)
370	sollw0(iof+i) = zsollw0(i)
371	albpla(iof+i) = zalbpla(i)
372
373	DO k = 1, kflev+1
374	swdn0 ( iof+i,k) = ZFSDN0 ( i,k)
375	swdn ( iof+i,k) = ZFSDN ( i,k)
376	swup0 ( iof+i,k) = ZFSUP0 ( i,k)
377	swup ( iof+i,k) = ZFSUP ( i,k)
378	ENDDO
379	ENDDO
380	!-transform the aerosol forcings, if they have
381	! to be calculated
382	IF (ok_ade) THEN
383	DO i = 1, kdlon
384	topswad_aero(iof+i) = ztopswadaero(i)
385	topswad0_aero(iof+i) = ztopswad0aero(i)
386	solswad_aero(iof+i) = zsolswadaero(i)
387	solswad0_aero(iof+i) = zsolswad0aero(i)
388	topsw_aero(iof+i,:) = ztopsw_aero(iof+i,:)
389	topsw0_aero(iof+i,:) = ztopsw0_aero(iof+i,:)
390	solsw_aero(iof+i,:) = zsolsw_aero(iof+i,:)
391	solsw0_aero(iof+i,:) = zsolsw0_aero(iof+i,:)
392
393	ENDDO
394	ELSE
395	DO i = 1, kdlon
396	topswad_aero(iof+i) = 0.0
397	solswad_aero(iof+i) = 0.0
398	topswad0_aero(iof+i) = 0.0
399	solswad0_aero(iof+i) = 0.0
400	topsw_aero(iof+i,:) = 0.
401	topsw0_aero(iof+i,:) =0.
402	solsw_aero(iof+i,:) = 0.
403	solsw0_aero(iof+i,:) = 0.
404	ENDDO
405	ENDIF
406	IF (ok_aie) THEN
407	DO i = 1, kdlon
408	topswai_aero(iof+i) = ztopswaiaero(i)
409	solswai_aero(iof+i) = zsolswaiaero(i)
410	ENDDO
411	ELSE
412	DO i = 1, kdlon
413	topswai_aero(iof+i) = 0.0
414	solswai_aero(iof+i) = 0.0
415	ENDDO
416	ENDIF
417	DO k = 1, kflev
418	DO i = 1, kdlon
419	! scale factor to take into account the difference between
420	! dry air and watter vapour scpecifi! heat capacity
421	zznormcp=1.0+RVTMP2*PWV(i,k)
422	heat(iof+i,k) = zheat(i,k)/zznormcp
423	cool(iof+i,k) = zcool(i,k)/zznormcp
424	heat0(iof+i,k) = zheat0(i,k)/zznormcp
425	cool0(iof+i,k) = zcool0(i,k)/zznormcp
426	ENDDO
427	ENDDO
428
429	ENDDO ! j = 1, nb_gr
430
431
432	END SUBROUTINE radlwsw
433
434

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