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surf_landice_mod.F90 @ 3956

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1	!
2	MODULE surf_landice_mod
3
4	IMPLICIT NONE
5
6	CONTAINS
7	!
8	!****************************************************************************************
9	!
10	SUBROUTINE surf_landice(itime, dtime, knon, knindex, &
11	rlon, rlat, debut, lafin, &
12	rmu0, lwdownm, albedo, pphi1, &
13	swnet, lwnet, tsurf, p1lay, &
14	cdragh, cdragm, precip_rain, precip_snow, temp_air, spechum, &
15	AcoefH, AcoefQ, BcoefH, BcoefQ, &
16	AcoefU, AcoefV, BcoefU, BcoefV, &
17	ps, u1, v1, gustiness, rugoro, pctsrf, &
18	snow, qsurf, qsol, agesno, &
19	tsoil, z0m, z0h, SFRWL, alb_dir, alb_dif, evap, fluxsens, fluxlat, &
20	tsurf_new, dflux_s, dflux_l, &
21	alt, slope, cloudf, &
22	snowhgt, qsnow, to_ice, sissnow, &
23	alb3, runoff, &
24	flux_u1, flux_v1 &
25	#ifdef ISO
26	& ,xtprecip_rain, xtprecip_snow,xtspechum,Rland_ice &
27	& ,xtsnow,xtsol,xtevap &
28	#endif
29	& )
30
31	USE dimphy
32	USE surface_data, ONLY : type_ocean, calice, calsno, landice_opt, iflag_albcalc
33	USE fonte_neige_mod, ONLY : fonte_neige,run_off_lic,fqcalving_global,ffonte_global,fqfonte_global,runofflic_global
34	USE cpl_mod, ONLY : cpl_send_landice_fields
35	USE calcul_fluxs_mod
36	USE phys_output_var_mod
37	#ifdef ISO
38	USE fonte_neige_mod, ONLY : xtrun_off_lic
39	USE infotrac_phy, ONLY : ntraciso,niso
40	USE isotopes_routines_mod, ONLY: calcul_iso_surf_lic_vectall
41	#ifdef ISOVERIF
42	use isotopes_mod, ONLY: iso_eau,ridicule
43	use isotopes_verif_mod
44	#endif
45	#endif
46	!FC
47	USE ioipsl_getin_p_mod, ONLY : getin_p
48
49
50	#ifdef CPP_INLANDSIS
51	USE surf_inlandsis_mod, ONLY : surf_inlandsis
52	#endif
53
54	USE indice_sol_mod
55
56	! INCLUDE "indicesol.h"
57	INCLUDE "dimsoil.h"
58	INCLUDE "YOMCST.h"
59	INCLUDE "clesphys.h"
60
61	! Input variables
62	!****************************************************************************************
63	INTEGER, INTENT(IN) :: itime, knon
64	INTEGER, DIMENSION(klon), INTENT(in) :: knindex
65	REAL, INTENT(in) :: dtime
66	REAL, DIMENSION(klon), INTENT(IN) :: swnet ! net shortwave radiance
67	REAL, DIMENSION(klon), INTENT(IN) :: lwnet ! net longwave radiance
68	REAL, DIMENSION(klon), INTENT(IN) :: tsurf
69	REAL, DIMENSION(klon), INTENT(IN) :: p1lay
70	REAL, DIMENSION(klon), INTENT(IN) :: cdragh, cdragm
71	REAL, DIMENSION(klon), INTENT(IN) :: precip_rain, precip_snow
72	REAL, DIMENSION(klon), INTENT(IN) :: temp_air, spechum
73	REAL, DIMENSION(klon), INTENT(IN) :: AcoefH, AcoefQ
74	REAL, DIMENSION(klon), INTENT(IN) :: BcoefH, BcoefQ
75	REAL, DIMENSION(klon), INTENT(IN) :: AcoefU, AcoefV, BcoefU, BcoefV
76	REAL, DIMENSION(klon), INTENT(IN) :: ps
77	REAL, DIMENSION(klon), INTENT(IN) :: u1, v1, gustiness
78	REAL, DIMENSION(klon), INTENT(IN) :: rugoro
79	REAL, DIMENSION(klon,nbsrf), INTENT(IN) :: pctsrf
80	#ifdef ISO
81	REAL, DIMENSION(ntraciso,klon), INTENT(IN) :: xtprecip_rain, xtprecip_snow
82	REAL, DIMENSION(ntraciso,klon), INTENT(IN) :: xtspechum
83	#endif
84
85	LOGICAL, INTENT(IN) :: debut !true if first step
86	LOGICAL, INTENT(IN) :: lafin !true if last step
87	REAL, DIMENSION(klon), INTENT(IN) :: rlon, rlat
88	REAL, DIMENSION(klon), INTENT(IN) :: rmu0
89	REAL, DIMENSION(klon), INTENT(IN) :: lwdownm !ylwdown
90	REAL, DIMENSION(klon), INTENT(IN) :: albedo !mean albedo
91	REAL, DIMENSION(klon), INTENT(IN) :: pphi1
92	REAL, DIMENSION(klon), INTENT(IN) :: alt !mean altitude of the grid box
93	REAL, DIMENSION(klon), INTENT(IN) :: slope !mean slope in grid box
94	REAL, DIMENSION(klon), INTENT(IN) :: cloudf !total cloud fraction
95
96	! In/Output variables
97	!****************************************************************************************
98	REAL, DIMENSION(klon), INTENT(INOUT) :: snow, qsol
99	REAL, DIMENSION(klon), INTENT(INOUT) :: agesno
100	REAL, DIMENSION(klon, nsoilmx), INTENT(INOUT) :: tsoil
101	#ifdef ISO
102	REAL, DIMENSION(niso,klon), INTENT(INOUT) :: xtsnow, xtsol
103	REAL, DIMENSION(niso,klon), INTENT(INOUT) :: Rland_ice
104	#endif
105
106	! Output variables
107	!****************************************************************************************
108	REAL, DIMENSION(klon), INTENT(OUT) :: qsurf
109	REAL, DIMENSION(klon), INTENT(OUT) :: z0m, z0h
110	!albedo SB >>>
111	! REAL, DIMENSION(klon), INTENT(OUT) :: alb1 ! new albedo in visible SW interval
112	! REAL, DIMENSION(klon), INTENT(OUT) :: alb2 ! new albedo in near IR interval
113	REAL, DIMENSION(6), INTENT(IN) :: SFRWL
114	REAL, DIMENSION(klon,nsw), INTENT(OUT) :: alb_dir,alb_dif
115	!albedo SB <<<
116	REAL, DIMENSION(klon), INTENT(OUT) :: evap, fluxsens, fluxlat
117	REAL, DIMENSION(klon), INTENT(OUT) :: tsurf_new
118	REAL, DIMENSION(klon), INTENT(OUT) :: dflux_s, dflux_l
119	REAL, DIMENSION(klon), INTENT(OUT) :: flux_u1, flux_v1
120
121	REAL, DIMENSION(klon), INTENT(OUT) :: alb3
122	REAL, DIMENSION(klon), INTENT(OUT) :: qsnow !column water in snow [kg/m2]
123	REAL, DIMENSION(klon), INTENT(OUT) :: snowhgt !Snow height (m)
124	REAL, DIMENSION(klon), INTENT(OUT) :: to_ice
125	REAL, DIMENSION(klon), INTENT(OUT) :: sissnow
126	REAL, DIMENSION(klon), INTENT(OUT) :: runoff !Land ice runoff
127	#ifdef ISO
128	REAL, DIMENSION(ntraciso,klon), INTENT(OUT) :: xtevap
129	! real, DIMENSION(niso,klon) :: xtrun_off_lic_0_diag ! est une variable globale de
130	! fonte_neige
131	#endif
132
133
134	! Local variables
135	!****************************************************************************************
136	REAL, DIMENSION(klon) :: soilcap, soilflux
137	REAL, DIMENSION(klon) :: cal, beta, dif_grnd
138	REAL, DIMENSION(klon) :: zfra, alb_neig
139	REAL, DIMENSION(klon) :: radsol
140	REAL, DIMENSION(klon) :: u0, v0, u1_lay, v1_lay, ustar
141	INTEGER :: i,j,nt
142	REAL, DIMENSION(klon) :: fqfonte,ffonte
143	#ifdef ISO
144	real, parameter :: t_coup = 273.15
145	real, dimension(klon) :: fqfonte_diag
146	real, dimension(klon) :: fq_fonte_diag
147	real, dimension(klon) :: snow_evap_diag
148	real, dimension(klon) :: fqcalving_diag
149	real max_eau_sol_diag
150	real, dimension(klon) :: runoff_diag
151	real, dimension(klon) :: run_off_lic_diag
152	real :: coeff_rel_diag
153	integer ixt
154	REAL, DIMENSION(niso,klon) :: xtsnow_prec,xtsol_prec
155	REAL, DIMENSION(klon) :: snow_prec,qsol_prec
156	! real, DIMENSION(klon) :: run_off_lic_0_diag
157	#endif
158
159	REAL, DIMENSION(klon) :: emis_new !Emissivity
160	REAL, DIMENSION(klon) :: swdown,lwdown
161	REAL, DIMENSION(klon) :: precip_snow_adv, snow_adv !Snow Drift precip./advection (not used in inlandsis)
162	REAL, DIMENSION(klon) :: erod !erosion of surface snow (flux, kg/m2/s like evap)
163	REAL, DIMENSION(klon) :: zsl_height, wind_velo !surface layer height, wind spd
164	REAL, DIMENSION(klon) :: dens_air, snow_cont_air !air density; snow content air
165	REAL, DIMENSION(klon) :: alb_soil !albedo of underlying ice
166	REAL, DIMENSION(klon) :: pexner !Exner potential
167	REAL :: pref
168	REAL, DIMENSION(klon,nsoilmx) :: tsoil0 !modif
169	REAL :: dtis ! subtimestep
170	LOGICAL :: debut_is, lafin_is ! debut and lafin for inlandsis
171
172	CHARACTER (len = 20) :: modname = 'surf_landice'
173	CHARACTER (len = 80) :: abort_message
174
175
176	REAL,DIMENSION(klon) :: alb1,alb2
177	REAL, DIMENSION (klon,6) :: alb6
178	! End definition
179	!****************************************************************************************
180	!FC
181	!FC
182	REAL,SAVE :: alb_vis_sno_lic
183	!$OMP THREADPRIVATE(alb_vis_sno_lic)
184	REAL,SAVE :: alb_nir_sno_lic
185	!$OMP THREADPRIVATE(alb_nir_sno_lic)
186	LOGICAL, SAVE :: firstcall = .TRUE.
187	!$OMP THREADPRIVATE(firstcall)
188
189
190	!FC firtscall initializations
191	!******************************************************************************************
192	#ifdef ISO
193	#ifdef ISOVERIF
194	! write(,) 'surf_land_ice 1499'
195	do i=1,knon
196	if (iso_eau.gt.0) then
197	call iso_verif_egalite_choix(xtsnow(iso_eau,i),snow(i), &
198	& 'surf_land_ice 126',errmax,errmaxrel)
199	endif !if (iso_eau.gt.0) then
200	enddo !do i=1,knon
201	#endif
202	#endif
203
204	IF (firstcall) THEN
205	alb_vis_sno_lic=0.77
206	CALL getin_p('alb_vis_sno_lic',alb_vis_sno_lic)
207	PRINT*, 'alb_vis_sno_lic',alb_vis_sno_lic
208	alb_nir_sno_lic=0.77
209	CALL getin_p('alb_nir_sno_lic',alb_nir_sno_lic)
210	PRINT*, 'alb_nir_sno_lic',alb_nir_sno_lic
211
212	! z0m=1.e-3
213	! z0h = z0m
214	firstcall=.false.
215	ENDIF
216	!******************************************************************************************
217	!
218	! Initialize output variables
219	alb3(:) = 999999.
220	alb2(:) = 999999.
221	alb1(:) = 999999.
222
223	runoff(:) = 0.
224	!****************************************************************************************
225	! Calculate total absorbed radiance at surface
226	!
227	!****************************************************************************************
228	radsol(:) = 0.0
229	radsol(1:knon) = swnet(1:knon) + lwnet(1:knon)
230
231	!****************************************************************************************
232	! landice_opt = 0 : soil_model, calcul_flux, fonte_neige, ...
233	! landice_opt = 1 : prepare and call INterace Lmdz SISvat (INLANDSIS)
234	!****************************************************************************************
235
236
237	IF (landice_opt .EQ. 1) THEN
238
239	!****************************************************************************************
240	! CALL to INLANDSIS interface
241	!****************************************************************************************
242	#ifdef CPP_INLANDSIS
243
244	#ifdef ISO
245	CALL abort_gcm('surf_landice 235','isotopes pas dans INLANDSIS',1)
246	#endif
247
248	debut_is=debut
249	lafin_is=.false.
250	! Suppose zero surface speed
251	u0(:) = 0.0
252	v0(:) = 0.0
253
254
255	CALL calcul_flux_wind(knon, dtime, &
256	u0, v0, u1, v1, gustiness, cdragm, &
257	AcoefU, AcoefV, BcoefU, BcoefV, &
258	p1lay, temp_air, &
259	flux_u1, flux_v1)
260
261
262	! Set constants and compute some input for SISVAT
263	! = 1000 hPa
264	! and calculate incoming flux for SW and LW interval: swdown, lwdown
265	swdown(:) = 0.0
266	lwdown(:) = 0.0
267	snow_cont_air(:) = 0. ! the snow content in air is not a prognostic variable of the model
268	alb_soil(:) = 0.4 ! before albedo(:) but here it is the ice albedo that we have to set
269	ustar(:) = 0.
270	pref = 100000.
271	DO i = 1, knon
272	swdown(i) = swnet(i)/(1-albedo(i))
273	lwdown(i) = lwdownm(i)
274	wind_velo(i) = u1(i)2 + v1(i)2
275	wind_velo(i) = wind_velo(i)**0.5
276	pexner(i) = (p1lay(i)/pref)**(RD/RCPD)
277	dens_air(i) = p1lay(i)/RD/temp_air(i) ! dry air density
278	zsl_height(i) = pphi1(i)/RG
279	tsoil0(i,:) = tsoil(i,:)
280	ustar(i)= (cdragm(i)(wind_velo(i)2))*0.5
281	END DO
282
283
284
285	dtis=dtime
286
287	IF (lafin) THEN
288	lafin_is=.true.
289	END IF
290
291	CALL surf_inlandsis(knon, rlon, rlat, knindex, itime, dtis, debut_is, lafin_is,&
292	rmu0, swdown, lwdown, albedo, pexner, ps, p1lay, precip_rain, precip_snow, &
293	zsl_height, wind_velo, ustar, temp_air, dens_air, spechum, tsurf,&
294	rugoro, snow_cont_air, alb_soil, alt, slope, cloudf, &
295	radsol, qsol, tsoil0, snow, zfra, snowhgt, qsnow, to_ice, sissnow,agesno, &
296	AcoefH, AcoefQ, BcoefH, BcoefQ, cdragm, cdragh, &
297	run_off_lic, fqfonte, ffonte, evap, erod, fluxsens, fluxlat,dflux_s, dflux_l, &
298	tsurf_new, alb1, alb2, alb3, alb6, &
299	emis_new, z0m, z0h, qsurf)
300
301	debut_is=.false.
302
303
304	! Treatment of snow melting and calving
305
306	! for consistency with standard LMDZ, add calving to run_off_lic
307	run_off_lic(:)=run_off_lic(:) + to_ice(:)
308
309	DO i = 1, knon
310	ffonte_global(knindex(i),is_lic) = ffonte(i)
311	fqfonte_global(knindex(i),is_lic) = fqfonte(i)! net melting= melting - refreezing
312	fqcalving_global(knindex(i),is_lic) = to_ice(i) ! flux
313	runofflic_global(knindex(i)) = run_off_lic(i)
314	ENDDO
315	! Here, we assume that the calving term is equal to the to_ice term
316	! (no ice accumulation)
317
318
319	#else
320	abort_message='Pb de coherence: landice_opt = 1 mais CPP_INLANDSIS = .false.'
321	CALL abort_physic(modname,abort_message,1)
322	#endif
323
324
325
326	ELSE
327
328	!****************************************************************************************
329	! Soil calculations
330	!
331	!****************************************************************************************
332
333	! EV: use calbeta
334	CALL calbeta(dtime, is_lic, knon, snow, qsol, beta, cal, dif_grnd)
335
336
337	! use soil model and recalculate properly cal
338	IF (soil_model) THEN
339	CALL soil(dtime, is_lic, knon, snow, tsurf, tsoil, soilcap, soilflux)
340	cal(1:knon) = RCPD / soilcap(1:knon)
341	radsol(1:knon) = radsol(1:knon) + soilflux(1:knon)
342	ELSE
343	cal = RCPD * calice
344	WHERE (snow > 0.0) cal = RCPD * calsno
345	ENDIF
346
347
348	!****************************************************************************************
349	! Calulate fluxes
350	!
351	!****************************************************************************************
352	! beta(:) = 1.0
353	! dif_grnd(:) = 0.0
354
355	! Suppose zero surface speed
356	u0(:)=0.0
357	v0(:)=0.0
358	u1_lay(:) = u1(:) - u0(:)
359	v1_lay(:) = v1(:) - v0(:)
360
361	CALL calcul_fluxs(knon, is_lic, dtime, &
362	tsurf, p1lay, cal, beta, cdragh, cdragh, ps, &
363	precip_rain, precip_snow, snow, qsurf, &
364	radsol, dif_grnd, temp_air, spechum, u1_lay, v1_lay, gustiness, &
365	1.,AcoefH, AcoefQ, BcoefH, BcoefQ, &
366	tsurf_new, evap, fluxlat, fluxsens, dflux_s, dflux_l)
367
368
369	#ifdef ISO
370	! verif
371	#ifdef ISOVERIF
372	write(,) 'surf_land_ice 1499'
373	do i=1,knon
374	if (iso_eau.gt.0) then
375	if (snow(i).gt.ridicule) then
376	call iso_verif_egalite_choix(xtsnow(iso_eau,i),snow(i), &
377	& 'surf_land_ice 1151',errmax,errmaxrel)
378	endif !if ((snow(i).gt.ridicule)) then
379	endif !if (iso_eau.gt.0) then
380	enddo !do i=1,knon
381	#endif
382	!#ifdef ISOVERIF
383
384	do i=1,knon
385	snow_prec(i)=snow(i)
386	do ixt=1,niso
387	xtsnow_prec(ixt,i)=xtsnow(ixt,i)
388	enddo !do ixt=1,niso
389	! initialisation:
390	fq_fonte_diag(i)=0.0
391	fqfonte_diag(i)=0.0
392	snow_evap_diag(i)=0.0
393	enddo !do i=1,knon
394	#endif
395	!#ifdef ISO
396	CALL calcul_flux_wind(knon, dtime, &
397	u0, v0, u1, v1, gustiness, cdragm, &
398	AcoefU, AcoefV, BcoefU, BcoefV, &
399	p1lay, temp_air, &
400	flux_u1, flux_v1)
401
402	!****************************************************************************************
403	! Calculate snow height, age, run-off,..
404	!
405	!****************************************************************************************
406	CALL fonte_neige(knon, is_lic, knindex, dtime, &
407	tsurf, precip_rain, precip_snow, &
408	snow, qsol, tsurf_new, evap &
409	#ifdef ISO
410	& ,fq_fonte_diag,fqfonte_diag,snow_evap_diag,fqcalving_diag &
411	& ,max_eau_sol_diag,runoff_diag,run_off_lic_diag,coeff_rel_diag &
412	#endif
413	& )
414
415
416	#ifdef ISO
417	#ifdef ISOVERIF
418	do i=1,knon
419	if (iso_eau.gt.0) then
420	call iso_verif_egalite_choix(Rland_ice(iso_eau,i),1.0, &
421	& 'surf_landice_mod 217',errmax,errmaxrel)
422	endif !if (iso_eau.gt.0) then
423	enddo !do i=1,knon
424	#endif
425	!#ifdef ISOVERIF
426
427	call calcul_iso_surf_lic_vectall(klon,knon, &
428	& evap,snow_evap_diag,Tsurf_new,snow, &
429	& fq_fonte_diag,fqfonte_diag,dtime,t_coup, &
430	& precip_snow,xtprecip_snow,precip_rain,xtprecip_rain, snow_prec,xtsnow_prec, &
431	& xtspechum,spechum,ps,Rland_ice, &
432	& xtevap,xtsnow,fqcalving_diag, &
433	& knindex,is_lic,run_off_lic_diag,coeff_rel_diag &
434	& )
435
436	! call fonte_neige_export_xtrun_off_lic_0(knon,xtrun_off_lic_0_diag)
437
438	#endif
439	!#ifdef ISO
440
441
442	!****************************************************************************************
443	! Calculate albedo
444	!
445	!****************************************************************************************
446	CALL albsno(klon,knon,dtime,agesno(:),alb_neig(:), precip_snow(:))
447
448	WHERE (snow(1 : knon) .LT. 0.0001) agesno(1 : knon) = 0.
449	zfra(1:knon) = MAX(0.0,MIN(1.0,snow(1:knon)/(snow(1:knon)+10.0)))
450	alb1(1:knon) = alb_neig(1:knon)*zfra(1:knon) + &
451	0.6 * (1.0-zfra(1:knon))
452	!
453	!IM: plusieurs choix/tests sur l'albedo des "glaciers continentaux"
454	! alb1(1 : knon) = 0.6 !IM cf FH/GK
455	! alb1(1 : knon) = 0.82
456	! alb1(1 : knon) = 0.77 !211003 Ksta0.77
457	! alb1(1 : knon) = 0.8 !KstaTER0.8 & LMD_ARMIP5
458	!IM: KstaTER0.77 & LMD_ARMIP6
459
460	! Attantion: alb1 and alb2 are not the same!
461	alb1(1:knon) = alb_vis_sno_lic
462	alb2(1:knon) = alb_nir_sno_lic
463
464
465	!****************************************************************************************
466	! Rugosity
467	!
468	!****************************************************************************************
469	z0m=1.e-3
470	z0h = z0m
471	z0m = SQRT(z0m2+rugoro2)
472
473
474
475	END IF ! landice_opt
476
477
478	!****************************************************************************************
479	! Send run-off on land-ice to coupler if coupled ocean.
480	! run_off_lic has been calculated in fonte_neige or surf_inlandsis
481	!
482	!****************************************************************************************
483	IF (type_ocean=='couple') THEN
484	CALL cpl_send_landice_fields(itime, knon, knindex, run_off_lic)
485	ENDIF
486
487	! transfer runoff rate [kg/m2/s](!) to physiq for output
488	runoff(1:knon)=run_off_lic(1:knon)/dtime
489
490
491	!****************************************************************************************
492	! Etienne: comment these lines because of duplication just below
493	! snow_o=0.
494	! zfra_o = 0.
495	! DO j = 1, knon
496	! i = knindex(j)
497	! snow_o(i) = snow(j)
498	! zfra_o(i) = zfra(j)
499	! ENDDO
500	!
501	!****************************************************************************************
502	snow_o=0.
503	zfra_o = 0.
504	DO j = 1, knon
505	i = knindex(j)
506	snow_o(i) = snow(j)
507	zfra_o(i) = zfra(j)
508	ENDDO
509
510
511	!albedo SB >>>
512	select case(NSW)
513	case(2)
514	alb_dir(1:knon,1)=alb1(1:knon)
515	alb_dir(1:knon,2)=alb2(1:knon)
516	case(4)
517	alb_dir(1:knon,1)=alb1(1:knon)
518	alb_dir(1:knon,2)=alb2(1:knon)
519	alb_dir(1:knon,3)=alb2(1:knon)
520	alb_dir(1:knon,4)=alb2(1:knon)
521	case(6)
522	alb_dir(1:knon,1)=alb1(1:knon)
523	alb_dir(1:knon,2)=alb1(1:knon)
524	alb_dir(1:knon,3)=alb1(1:knon)
525	alb_dir(1:knon,4)=alb2(1:knon)
526	alb_dir(1:knon,5)=alb2(1:knon)
527	alb_dir(1:knon,6)=alb2(1:knon)
528
529	IF ((landice_opt .EQ. 1) .AND. (iflag_albcalc .EQ. 2)) THEN
530	alb_dir(1:knon,1)=alb6(1:knon,1)
531	alb_dir(1:knon,2)=alb6(1:knon,2)
532	alb_dir(1:knon,3)=alb6(1:knon,3)
533	alb_dir(1:knon,4)=alb6(1:knon,4)
534	alb_dir(1:knon,5)=alb6(1:knon,5)
535	alb_dir(1:knon,6)=alb6(1:knon,6)
536	ENDIF
537
538	end select
539	alb_dif=alb_dir
540	!albedo SB <<<
541
542
543
544
545	END SUBROUTINE surf_landice
546	!
547	!****************************************************************************************
548	!
549	END MODULE surf_landice_mod
550
551
552

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