- Timestamp:
- 2018-06-21T11:58:42+02:00 (6 years ago)
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branches/UKMO/dev_r5518_nemo2cice_prints/NEMOGCM/NEMO/OPA_SRC/ZDF/zdfmxl.F90
r9816 r9817 18 18 USE phycst ! physical constants 19 19 USE iom ! I/O library 20 USE eosbn2 ! for zdf_mxl_zint 20 21 USE lib_mpp ! MPP library 21 22 USE wrk_nemo ! work arrays … … 27 28 28 29 PUBLIC zdf_mxl ! called by step.F90 30 PUBLIC zdf_mxl_alloc ! Used in zdf_tke_init 29 31 30 32 INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmln !: number of level in the mixed layer (used by TOP) … … 32 34 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlp !: mixed layer depth (rho=rho0+zdcrit) [m] 33 35 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlpt !: mixed layer depth at t-points [m] 36 REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: hmld_zint !: vertically-interpolated mixed layer depth [m] 37 REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: htc_mld ! Heat content of hmld_zint 38 LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ll_found ! Is T_b to be found by interpolation ? 39 LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ll_belowml ! Flag points below mixed layer when ll_found=F 34 40 35 41 REAL(wp), PUBLIC :: rho_c = 0.01_wp !: density criterion for mixed layer depth 36 42 REAL(wp) :: avt_c = 5.e-4_wp ! Kz criterion for the turbocline depth 43 44 TYPE, PUBLIC :: MXL_ZINT !: Structure for MLD defs 45 INTEGER :: mld_type ! mixed layer type 46 REAL(wp) :: zref ! depth of initial T_ref 47 REAL(wp) :: dT_crit ! Critical temp diff 48 REAL(wp) :: iso_frac ! Fraction of rn_dT_crit used 49 END TYPE MXL_ZINT 37 50 38 51 !! * Substitutions … … 51 64 zdf_mxl_alloc = 0 ! set to zero if no array to be allocated 52 65 IF( .NOT. ALLOCATED( nmln ) ) THEN 53 ALLOCATE( nmln(jpi,jpj), hmld(jpi,jpj), hmlp(jpi,jpj), hmlpt(jpi,jpj), STAT= zdf_mxl_alloc ) 66 ALLOCATE( nmln(jpi,jpj), hmld(jpi,jpj), hmlp(jpi,jpj), hmlpt(jpi,jpj), hmld_zint(jpi,jpj), & 67 & htc_mld(jpi,jpj), & 68 & ll_found(jpi,jpj), ll_belowml(jpi,jpj,jpk), STAT= zdf_mxl_alloc ) 54 69 ! 55 70 IF( lk_mpp ) CALL mpp_sum ( zdf_mxl_alloc ) … … 79 94 INTEGER, INTENT(in) :: kt ! ocean time-step index 80 95 ! 81 INTEGER :: ji, jj, jk ! dummy loop indices82 INTEGER :: iikn, iiki, ikt , imkt! local integer83 REAL(wp) :: zN2_c ! local scalar96 INTEGER :: ji, jj, jk ! dummy loop indices 97 INTEGER :: iikn, iiki, ikt ! local integer 98 REAL(wp) :: zN2_c ! local scalar 84 99 INTEGER, POINTER, DIMENSION(:,:) :: imld ! 2D workspace 85 100 !!---------------------------------------------------------------------- … … 89 104 CALL wrk_alloc( jpi,jpj, imld ) 90 105 91 IF( kt == nit000 ) THEN106 IF( kt <= nit000 ) THEN 92 107 IF(lwp) WRITE(numout,*) 93 108 IF(lwp) WRITE(numout,*) 'zdf_mxl : mixed layer depth' … … 116 131 DO jj = 1, jpj 117 132 DO ji = 1, jpi 118 imkt = mikt(ji,jj) 119 IF( avt (ji,jj,jk) < avt_c ) imld(ji,jj) = MAX( imkt, jk ) ! Turbocline 133 IF( avt (ji,jj,jk) < avt_c * wmask(ji,jj,jk) ) imld(ji,jj) = jk ! Turbocline 120 134 END DO 121 135 END DO … … 126 140 iiki = imld(ji,jj) 127 141 iikn = nmln(ji,jj) 128 imkt = mikt(ji,jj) 129 hmld (ji,jj) = ( fsdepw(ji,jj,iiki ) - fsdepw(ji,jj,imkt ) ) * ssmask(ji,jj) ! Turbocline depth 130 hmlp (ji,jj) = ( fsdepw(ji,jj,iikn ) - fsdepw(ji,jj,MAX( imkt,nla10 ) ) ) * ssmask(ji,jj) ! Mixed layer depth 131 hmlpt(ji,jj) = ( fsdept(ji,jj,iikn-1) - fsdepw(ji,jj,imkt ) ) * ssmask(ji,jj) ! depth of the last T-point inside the mixed layer 142 hmld (ji,jj) = fsdepw(ji,jj,iiki ) * ssmask(ji,jj) ! Turbocline depth 143 hmlp (ji,jj) = fsdepw(ji,jj,iikn ) * ssmask(ji,jj) ! Mixed layer depth 144 hmlpt(ji,jj) = fsdept(ji,jj,iikn-1) * ssmask(ji,jj) ! depth of the last T-point inside the mixed layer 132 145 END DO 133 146 END DO 134 IF( .NOT.lk_offline ) THEN ! no need to output in offline mode 135 CALL iom_put( "mldr10_1", hmlp ) ! mixed layer depth 136 CALL iom_put( "mldkz5" , hmld ) ! turbocline depth 147 ! no need to output in offline mode 148 IF( .NOT.lk_offline ) THEN 149 IF ( iom_use("mldr10_1") ) THEN 150 IF( ln_isfcav ) THEN 151 CALL iom_put( "mldr10_1", hmlp - risfdep) ! mixed layer thickness 152 ELSE 153 CALL iom_put( "mldr10_1", hmlp ) ! mixed layer depth 154 END IF 155 END IF 156 IF ( iom_use("mldkz5") ) THEN 157 IF( ln_isfcav ) THEN 158 CALL iom_put( "mldkz5" , hmld - risfdep ) ! turbocline thickness 159 ELSE 160 CALL iom_put( "mldkz5" , hmld ) ! turbocline depth 161 END IF 162 END IF 137 163 ENDIF 138 164 165 ! Vertically-interpolated mixed-layer depth diagnostic 166 CALL zdf_mxl_zint( kt ) 167 139 168 IF(ln_ctl) CALL prt_ctl( tab2d_1=REAL(nmln,wp), clinfo1=' nmln : ', tab2d_2=hmlp, clinfo2=' hmlp : ', ovlap=1 ) 140 169 ! … … 144 173 ! 145 174 END SUBROUTINE zdf_mxl 175 176 SUBROUTINE zdf_mxl_zint_mld( sf ) 177 !!---------------------------------------------------------------------------------- 178 !! *** ROUTINE zdf_mxl_zint_mld *** 179 ! 180 ! Calculate vertically-interpolated mixed layer depth diagnostic. 181 ! 182 ! This routine can calculate the mixed layer depth diagnostic suggested by 183 ! Kara et al, 2000, JGR, 105, 16803, but is more general and can calculate 184 ! vertically-interpolated mixed-layer depth diagnostics with other parameter 185 ! settings set in the namzdf_mldzint namelist. 186 ! 187 ! If mld_type=1 the mixed layer depth is calculated as the depth at which the 188 ! density has increased by an amount equivalent to a temperature difference of 189 ! 0.8C at the surface. 190 ! 191 ! For other values of mld_type the mixed layer is calculated as the depth at 192 ! which the temperature differs by 0.8C from the surface temperature. 193 ! 194 ! David Acreman, Daley Calvert 195 ! 196 !!----------------------------------------------------------------------------------- 197 198 TYPE(MXL_ZINT), INTENT(in) :: sf 199 200 ! Diagnostic criteria 201 INTEGER :: nn_mld_type ! mixed layer type 202 REAL(wp) :: rn_zref ! depth of initial T_ref 203 REAL(wp) :: rn_dT_crit ! Critical temp diff 204 REAL(wp) :: rn_iso_frac ! Fraction of rn_dT_crit used 205 206 ! Local variables 207 REAL(wp), PARAMETER :: zepsilon = 1.e-30 ! local small value 208 INTEGER, POINTER, DIMENSION(:,:) :: ikmt ! number of active tracer levels 209 INTEGER, POINTER, DIMENSION(:,:) :: ik_ref ! index of reference level 210 INTEGER, POINTER, DIMENSION(:,:) :: ik_iso ! index of last uniform temp level 211 REAL, POINTER, DIMENSION(:,:,:) :: zT ! Temperature or density 212 REAL, POINTER, DIMENSION(:,:) :: ppzdep ! depth for use in calculating d(rho) 213 REAL, POINTER, DIMENSION(:,:) :: zT_ref ! reference temperature 214 REAL :: zT_b ! base temperature 215 REAL, POINTER, DIMENSION(:,:,:) :: zdTdz ! gradient of zT 216 REAL, POINTER, DIMENSION(:,:,:) :: zmoddT ! Absolute temperature difference 217 REAL :: zdz ! depth difference 218 REAL :: zdT ! temperature difference 219 REAL, POINTER, DIMENSION(:,:) :: zdelta_T ! difference critereon 220 REAL, POINTER, DIMENSION(:,:) :: zRHO1, zRHO2 ! Densities 221 INTEGER :: ji, jj, jk ! loop counter 222 223 !!------------------------------------------------------------------------------------- 224 ! 225 CALL wrk_alloc( jpi, jpj, ikmt, ik_ref, ik_iso) 226 CALL wrk_alloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) 227 CALL wrk_alloc( jpi, jpj, jpk, zT, zdTdz, zmoddT ) 228 229 ! Unpack structure 230 nn_mld_type = sf%mld_type 231 rn_zref = sf%zref 232 rn_dT_crit = sf%dT_crit 233 rn_iso_frac = sf%iso_frac 234 235 ! Set the mixed layer depth criterion at each grid point 236 IF( nn_mld_type == 0 ) THEN 237 zdelta_T(:,:) = rn_dT_crit 238 zT(:,:,:) = rhop(:,:,:) 239 ELSE IF( nn_mld_type == 1 ) THEN 240 ppzdep(:,:)=0.0 241 call eos ( tsn(:,:,1,:), ppzdep(:,:), zRHO1(:,:) ) 242 ! Use zT temporarily as a copy of tsn with rn_dT_crit added to SST 243 ! [assumes number of tracers less than number of vertical levels] 244 zT(:,:,1:jpts)=tsn(:,:,1,1:jpts) 245 zT(:,:,jp_tem)=zT(:,:,1)+rn_dT_crit 246 CALL eos( zT(:,:,1:jpts), ppzdep(:,:), zRHO2(:,:) ) 247 zdelta_T(:,:) = abs( zRHO1(:,:) - zRHO2(:,:) ) * rau0 248 ! RHO from eos (2d version) doesn't calculate north or east halo: 249 CALL lbc_lnk( zdelta_T, 'T', 1. ) 250 zT(:,:,:) = rhop(:,:,:) 251 ELSE 252 zdelta_T(:,:) = rn_dT_crit 253 zT(:,:,:) = tsn(:,:,:,jp_tem) 254 END IF 255 256 ! Calculate the gradient of zT and absolute difference for use later 257 DO jk = 1 ,jpk-2 258 zdTdz(:,:,jk) = ( zT(:,:,jk+1) - zT(:,:,jk) ) / fse3w(:,:,jk+1) 259 zmoddT(:,:,jk) = abs( zT(:,:,jk+1) - zT(:,:,jk) ) 260 END DO 261 262 ! Find density/temperature at the reference level (Kara et al use 10m). 263 ! ik_ref is the index of the box centre immediately above or at the reference level 264 ! Find rn_zref in the array of model level depths and find the ref 265 ! density/temperature by linear interpolation. 266 DO jk = jpkm1, 2, -1 267 WHERE ( fsdept(:,:,jk) > rn_zref ) 268 ik_ref(:,:) = jk - 1 269 zT_ref(:,:) = zT(:,:,jk-1) + zdTdz(:,:,jk-1) * ( rn_zref - fsdept(:,:,jk-1) ) 270 END WHERE 271 END DO 272 273 ! If the first grid box centre is below the reference level then use the 274 ! top model level to get zT_ref 275 WHERE ( fsdept(:,:,1) > rn_zref ) 276 zT_ref = zT(:,:,1) 277 ik_ref = 1 278 END WHERE 279 280 ! The number of active tracer levels is 1 less than the number of active w levels 281 ikmt(:,:) = mbathy(:,:) - 1 282 283 ! Initialize / reset 284 ll_found(:,:) = .false. 285 286 IF ( rn_iso_frac - zepsilon > 0. ) THEN 287 ! Search for a uniform density/temperature region where adjacent levels 288 ! differ by less than rn_iso_frac * deltaT. 289 ! ik_iso is the index of the last level in the uniform layer 290 ! ll_found indicates whether the mixed layer depth can be found by interpolation 291 ik_iso(:,:) = ik_ref(:,:) 292 DO jj = 1, nlcj 293 DO ji = 1, nlci 294 !CDIR NOVECTOR 295 DO jk = ik_ref(ji,jj), ikmt(ji,jj)-1 296 IF ( zmoddT(ji,jj,jk) > ( rn_iso_frac * zdelta_T(ji,jj) ) ) THEN 297 ik_iso(ji,jj) = jk 298 ll_found(ji,jj) = ( zmoddT(ji,jj,jk) > zdelta_T(ji,jj) ) 299 EXIT 300 END IF 301 END DO 302 END DO 303 END DO 304 305 ! Use linear interpolation to find depth of mixed layer base where possible 306 hmld_zint(:,:) = rn_zref 307 DO jj = 1, jpj 308 DO ji = 1, jpi 309 IF (ll_found(ji,jj) .and. tmask(ji,jj,1) == 1.0) THEN 310 zdz = abs( zdelta_T(ji,jj) / zdTdz(ji,jj,ik_iso(ji,jj)) ) 311 hmld_zint(ji,jj) = fsdept(ji,jj,ik_iso(ji,jj)) + zdz 312 END IF 313 END DO 314 END DO 315 END IF 316 317 ! If ll_found = .false. then calculate MLD using difference of zdelta_T 318 ! from the reference density/temperature 319 320 ! Prevent this section from working on land points 321 WHERE ( tmask(:,:,1) /= 1.0 ) 322 ll_found = .true. 323 END WHERE 324 325 DO jk=1, jpk 326 ll_belowml(:,:,jk) = abs( zT(:,:,jk) - zT_ref(:,:) ) >= zdelta_T(:,:) 327 END DO 328 329 ! Set default value where interpolation cannot be used (ll_found=false) 330 DO jj = 1, jpj 331 DO ji = 1, jpi 332 IF ( .not. ll_found(ji,jj) ) hmld_zint(ji,jj) = fsdept(ji,jj,ikmt(ji,jj)) 333 END DO 334 END DO 335 336 DO jj = 1, jpj 337 DO ji = 1, jpi 338 !CDIR NOVECTOR 339 DO jk = ik_ref(ji,jj)+1, ikmt(ji,jj) 340 IF ( ll_found(ji,jj) ) EXIT 341 IF ( ll_belowml(ji,jj,jk) ) THEN 342 zT_b = zT_ref(ji,jj) + zdelta_T(ji,jj) * SIGN(1.0, zdTdz(ji,jj,jk-1) ) 343 zdT = zT_b - zT(ji,jj,jk-1) 344 zdz = zdT / zdTdz(ji,jj,jk-1) 345 hmld_zint(ji,jj) = fsdept(ji,jj,jk-1) + zdz 346 EXIT 347 END IF 348 END DO 349 END DO 350 END DO 351 352 hmld_zint(:,:) = hmld_zint(:,:)*tmask(:,:,1) 353 ! 354 CALL wrk_dealloc( jpi, jpj, ikmt, ik_ref, ik_iso) 355 CALL wrk_dealloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) 356 CALL wrk_dealloc( jpi,jpj, jpk, zT, zdTdz, zmoddT ) 357 ! 358 END SUBROUTINE zdf_mxl_zint_mld 359 360 SUBROUTINE zdf_mxl_zint_htc( kt ) 361 !!---------------------------------------------------------------------- 362 !! *** ROUTINE zdf_mxl_zint_htc *** 363 !! 364 !! ** Purpose : 365 !! 366 !! ** Method : 367 !!---------------------------------------------------------------------- 368 369 INTEGER, INTENT(in) :: kt ! ocean time-step index 370 371 INTEGER :: ji, jj, jk 372 INTEGER :: ikmax 373 REAL(wp) :: zc, zcoef 374 ! 375 INTEGER, ALLOCATABLE, DIMENSION(:,:) :: ilevel 376 REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zthick_0, zthick 377 378 !!---------------------------------------------------------------------- 379 380 IF( .NOT. ALLOCATED(ilevel) ) THEN 381 ALLOCATE( ilevel(jpi,jpj), zthick_0(jpi,jpj), & 382 & zthick(jpi,jpj), STAT=ji ) 383 IF( lk_mpp ) CALL mpp_sum(ji) 384 IF( ji /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl_zint_htc : unable to allocate arrays' ) 385 ENDIF 386 387 ! Find last whole model T level above the MLD 388 ilevel(:,:) = 0 389 zthick_0(:,:) = 0._wp 390 391 DO jk = 1, jpkm1 392 DO jj = 1, jpj 393 DO ji = 1, jpi 394 zthick_0(ji,jj) = zthick_0(ji,jj) + fse3t(ji,jj,jk) 395 IF( zthick_0(ji,jj) < hmld_zint(ji,jj) ) ilevel(ji,jj) = jk 396 END DO 397 END DO 398 WRITE(numout,*) 'zthick_0(jk =',jk,') =',zthick_0(2,2) 399 WRITE(numout,*) 'fsdepw(jk+1 =',jk+1,') =',fsdepw(2,2,jk+1) 400 END DO 401 402 ! Surface boundary condition 403 IF( lk_vvl ) THEN ; zthick(:,:) = 0._wp ; htc_mld(:,:) = 0._wp 404 ELSE ; zthick(:,:) = sshn(:,:) ; htc_mld(:,:) = tsn(:,:,1,jp_tem) * sshn(:,:) * tmask(:,:,1) 405 ENDIF 406 407 ! Deepest whole T level above the MLD 408 ikmax = MIN( MAXVAL( ilevel(:,:) ), jpkm1 ) 409 410 ! Integration down to last whole model T level 411 DO jk = 1, ikmax 412 DO jj = 1, jpj 413 DO ji = 1, jpi 414 zc = fse3t(ji,jj,jk) * REAL( MIN( MAX( 0, ilevel(ji,jj) - jk + 1 ) , 1 ) ) ! 0 below ilevel 415 zthick(ji,jj) = zthick(ji,jj) + zc 416 htc_mld(ji,jj) = htc_mld(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) * tmask(ji,jj,jk) 417 END DO 418 END DO 419 END DO 420 421 ! Subsequent partial T level 422 zthick(:,:) = hmld_zint(:,:) - zthick(:,:) ! remaining thickness to reach MLD 423 424 DO jj = 1, jpj 425 DO ji = 1, jpi 426 htc_mld(ji,jj) = htc_mld(ji,jj) + tsn(ji,jj,ilevel(ji,jj)+1,jp_tem) & 427 & * MIN( fse3t(ji,jj,ilevel(ji,jj)+1), zthick(ji,jj) ) * tmask(ji,jj,ilevel(ji,jj)+1) 428 END DO 429 END DO 430 431 WRITE(numout,*) 'htc_mld(after) =',htc_mld(2,2) 432 433 ! Convert to heat content 434 zcoef = rau0 * rcp 435 htc_mld(:,:) = zcoef * htc_mld(:,:) 436 437 END SUBROUTINE zdf_mxl_zint_htc 438 439 SUBROUTINE zdf_mxl_zint( kt ) 440 !!---------------------------------------------------------------------- 441 !! *** ROUTINE zdf_mxl_zint *** 442 !! 443 !! ** Purpose : 444 !! 445 !! ** Method : 446 !!---------------------------------------------------------------------- 447 448 INTEGER, INTENT(in) :: kt ! ocean time-step index 449 450 INTEGER :: ios 451 INTEGER :: jn 452 453 INTEGER :: nn_mld_diag = 0 ! number of diagnostics 454 455 CHARACTER(len=1) :: cmld 456 457 TYPE(MXL_ZINT) :: sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 458 TYPE(MXL_ZINT), SAVE, DIMENSION(5) :: mld_diags 459 460 NAMELIST/namzdf_mldzint/ nn_mld_diag, sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 461 462 !!---------------------------------------------------------------------- 463 464 IF( kt == nit000 ) THEN 465 REWIND( numnam_ref ) ! Namelist namzdf_mldzint in reference namelist 466 READ ( numnam_ref, namzdf_mldzint, IOSTAT = ios, ERR = 901) 467 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in reference namelist', lwp ) 468 469 REWIND( numnam_cfg ) ! Namelist namzdf_mldzint in configuration namelist 470 READ ( numnam_cfg, namzdf_mldzint, IOSTAT = ios, ERR = 902 ) 471 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in configuration namelist', lwp ) 472 IF(lwm) WRITE ( numond, namzdf_mldzint ) 473 474 IF( nn_mld_diag > 5 ) CALL ctl_stop( 'STOP', 'zdf_mxl_ini: Specify no more than 5 MLD definitions' ) 475 476 mld_diags(1) = sn_mld1 477 mld_diags(2) = sn_mld2 478 mld_diags(3) = sn_mld3 479 mld_diags(4) = sn_mld4 480 mld_diags(5) = sn_mld5 481 482 IF( lwp .AND. (nn_mld_diag > 0) ) THEN 483 WRITE(numout,*) '=============== Vertically-interpolated mixed layer ================' 484 WRITE(numout,*) '(Diagnostic number, nn_mld_type, rn_zref, rn_dT_crit, rn_iso_frac)' 485 DO jn = 1, nn_mld_diag 486 WRITE(numout,*) 'MLD criterion',jn,':' 487 WRITE(numout,*) ' nn_mld_type =', mld_diags(jn)%mld_type 488 WRITE(numout,*) ' rn_zref =' , mld_diags(jn)%zref 489 WRITE(numout,*) ' rn_dT_crit =' , mld_diags(jn)%dT_crit 490 WRITE(numout,*) ' rn_iso_frac =', mld_diags(jn)%iso_frac 491 END DO 492 WRITE(numout,*) '====================================================================' 493 ENDIF 494 ENDIF 495 496 IF( nn_mld_diag > 0 ) THEN 497 DO jn = 1, nn_mld_diag 498 WRITE(cmld,'(I1)') jn 499 IF( iom_use( "mldzint_"//cmld ) .OR. iom_use( "mldhtc_"//cmld ) ) THEN 500 CALL zdf_mxl_zint_mld( mld_diags(jn) ) 501 502 IF( iom_use( "mldzint_"//cmld ) ) THEN 503 CALL iom_put( "mldzint_"//cmld, hmld_zint(:,:) ) 504 ENDIF 505 506 IF( iom_use( "mldhtc_"//cmld ) ) THEN 507 CALL zdf_mxl_zint_htc( kt ) 508 CALL iom_put( "mldhtc_"//cmld , htc_mld(:,:) ) 509 ENDIF 510 ENDIF 511 END DO 512 ENDIF 513 514 END SUBROUTINE zdf_mxl_zint 146 515 147 516 !!======================================================================
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