Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!

The cake is a *n* × *n* square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started to put the chocolates on the cake. The value of Famil Door's happiness will be equal to the number of pairs of cells with chocolates that are in the same row or in the same column of the cake. Famil Doors's family is wondering what is the amount of happiness of Famil going to be?

Please, note that any pair can be counted no more than once, as two different cells can't share both the same row and the same column.
In the first line of the input, you are given a single integer *n* (1 ≤ *n* ≤ 100) — the length of the side of the cake.

Then follow *n* lines, each containing *n* characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'.
If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are: 
 1.  (1, 2) and (1, 3) 1.  (3, 1) and (3, 3)  1.  (2, 1) and (3, 1) 1.  (1, 3) and (3, 3)
3
.CC
C..
C.C
4
4
CC..
C..C
.CC.
.CC.
9
5
.CCCC
CCCCC
.CCC.
CC...
.CC.C
46
7
.CC..CC
CC.C..C
C.C..C.
C...C.C
CCC.CCC
.CC...C
.C.CCC.
84
8
..C....C
C.CCC.CC
.C..C.CC
CC......
C..C..CC
C.C...C.
C.C..C..
C...C.C.
80
9
.C...CCCC
C.CCCC...
....C..CC
.CC.CCC..
.C.C..CC.
C...C.CCC
CCC.C...C
CCCC....C
..C..C..C
144
10
..C..C.C..
..CC..C.CC
.C.C...C.C
..C.CC..CC
....C..C.C
...C..C..C
CC.CC....C
..CCCC.C.C
..CC.CCC..
CCCC..C.CC
190
11
C.CC...C.CC
CC.C....C.C
.....C..CCC
....C.CC.CC
C..C..CC...
C...C...C..
CC..CCC.C.C
..C.CC.C..C
C...C.C..CC
.C.C..CC..C
.C.C.CC.C..
228
21
...CCC.....CC..C..C.C
..CCC...CC...CC.CCC.C
....C.C.C..CCC..C.C.C
....CCC..C..C.CC.CCC.
...CCC.C..C.C.....CCC
.CCC.....CCC..C...C.C
CCCC.C...CCC.C...C.CC
C..C...C.CCC..CC..C..
C...CC..C.C.CC..C.CC.
CC..CCCCCCCCC..C....C
.C..CCCC.CCCC.CCC...C
CCC...CCC...CCC.C..C.
.CCCCCCCC.CCCC.CC.C..
.C.C..C....C.CCCCCC.C
...C...C.CCC.C.CC..C.
CCC...CC..CC...C..C.C
.CCCCC...C.C..C.CC.C.
..CCC.C.C..CCC.CCC...
..C..C.C.C.....CC.C..
.CC.C...C.CCC.C....CC
...C..CCCC.CCC....C..
2103
20
C.C.CCC.C....C.CCCCC
C.CC.C..CCC....CCCC.
.CCC.CC...CC.CCCCCC.
.C...CCCC..C....CCC.
.C..CCCCCCC.C.C.....
C....C.C..CCC.C..CCC
...C.C.CC..CC..CC...
C...CC.C.CCCCC....CC
.CC.C.CCC....C.CCC.C
CC...CC...CC..CC...C
C.C..CC.C.CCCC.C.CC.
..CCCCC.C.CCC..CCCC.
....C..C..C.CC...C.C
C..CCC..CC..C.CC..CC
...CC......C.C..C.C.
CC.CCCCC.CC.CC...C.C
.C.CC..CC..CCC.C.CCC
C..C.CC....C....C...
..CCC..CCC...CC..C.C
.C.CCC.CCCCCCCCC..CC
2071
17
CCC..C.C....C.C.C
.C.CC.CC...CC..C.
.CCCC.CC.C..CCC.C
...CCC.CC.CCC.C.C
CCCCCCCC..C.CC.CC
...C..C....C.CC.C
CC....CCC...C.CC.
.CC.C.CC..C......
.CCCCC.C.CC.CCCCC
..CCCC...C..CC..C
C.CC.C.CC..C.C.C.
C..C..C..CCC.C...
.C..CCCC..C......
.CC.C...C..CC.CC.
C..C....CC...CC..
C.CC.CC..C.C..C..
CCCC...C.C..CCCC.
1160
15
CCCC.C..CCC....
CCCCCC.CC.....C
...C.CC.C.C.CC.
CCCCCCC..C..C..
C..CCC..C.CCCC.
.CC..C.C.C.CC.C
.C.C..C..C.C..C
...C...C..CCCC.
.....C.C..CC...
CC.C.C..CC.C..C
..CCCCC..CCC...
CC.CC.C..CC.CCC
..CCC...CC.C..C
CC..C.C..CCC..C
.C.C....CCC...C
789
1
.
0
3
.CC
C..
C.C
4
13
C.C...C.C.C..
CC.CCCC.CC..C
.C.CCCCC.CC..
CCCC..C...C..
...CC.C.C...C
.CC.CCC...CC.
CC.CCCCCC....
.C...C..CC..C
CCCC.CC...C..
.C.CCC..C.CC.
..C...CC..C.C
..C.CCC..CC.C
.C...CCC.CC.C
529
16
.C.C.C.C.C...C.C
..C..C.CCCCCC...
..C.C.C.C..C..C.
.CC....C.CCC..C.
.C.CCC..C....CCC
CC..C.CC..C.C.CC
...C..C..CC..CC.
.CCC..C.CC.C.C..
.CC.C..........C
C...C....CC..C..
C.CCC.C..C..C...
.CCCCCCCCCCCC..C
..C.C.CC.CC.CCC.
CC..C.C....C..CC
C.CCC..C..C.C.CC
.C.CCC.CC..CCC.C
874
2
CC
CC
4
3
C..
C..
C..
3
D = {'1': 1, '3': 6, '5': 120, '7': 5040, '9': 362880, '31': 8222838654177922817725562880000000,
 '30': 265252859812191058636308480000000, '33': 8683317618811886495518194401280000000, '32': 263130836933693530167218012160000000,
 '35': 10333147966386144929666651337523200000000, '34': 295232799039604140847618609643520000000,
 '37': 13763753091226345046315979581580902400000000, '36': 371993326789901217467999448150835200000000,
 '39': 20397882081197443358640281739902897356800000000, '38': 523022617466601111760007224100074291200000000,
 '79': 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000,
 '78': 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000,
 '75': 24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000,
 '74': 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000,
 '77': 145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000,
 '76': 1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000,
 '71': 850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000,
 '70': 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000,
 '73': 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000,
 '72': 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000,
 '100': 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000,
 '22': 1124000727777607680000, '23': 25852016738884976640000, '20': 2432902008176640000, '21': 51090942171709440000,
 '26': 403291461126605635584000000, '27': 10888869450418352160768000000, '24': 620448401733239439360000, '25': 15511210043330985984000000,
 '28': 304888344611713860501504000000, '29': 8841761993739701954543616000000,
 '68': 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000,
 '69': 171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000,
 '66': 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000,
 '67': 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000,
 '64': 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000,
 '65': 8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000,
 '62': 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000,
 '63': 1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000,
 '60': 8320987112741390144276341183223364380754172606361245952449277696409600000000000000,
 '61': 507580213877224798800856812176625227226004528988036003099405939480985600000000000000,
 '2': 2, '4': 24, '6': 720, '8': 40320,
 '99': 933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000,
 '98': 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000,
 '97': 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000,
 '96': 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000,
 '95': 10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000,
 '94': 108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000,
 '93': 1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000,
 '92': 12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000,
 '91': 135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000,
 '90': 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000,
 '17': 355687428096000, '16': 20922789888000, '15': 1307674368000, '14': 87178291200, '13': 6227020800, '12': 479001600, '11': 39916800,
 '10': 3628800, '19': 121645100408832000, '18': 6402373705728000, '53': 4274883284060025564298013753389399649690343788366813724672000000000000,
 '52': 80658175170943878571660636856403766975289505440883277824000000000000, '51': 1551118753287382280224243016469303211063259720016986112000000000000,
 '50': 30414093201713378043612608166064768844377641568960512000000000000, '57': 40526919504877216755680601905432322134980384796226602145184481280000000000000,
 '56': 710998587804863451854045647463724949736497978881168458687447040000000000000, '55': 12696403353658275925965100847566516959580321051449436762275840000000000000,
 '54': 230843697339241380472092742683027581083278564571807941132288000000000000,
 '59': 138683118545689835737939019720389406345902876772687432540821294940160000000000000,
 '58': 2350561331282878571829474910515074683828862318181142924420699914240000000000000,
 '80': 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000,
 '81': 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000,
 '82': 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000,
 '83': 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000,
 '84': 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000,
 '85': 281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000,
 '86': 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000,
 '87': 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000,
 '88': 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000,
 '89': 16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000,
 '44': 2658271574788448768043625811014615890319638528000000000, '45': 119622220865480194561963161495657715064383733760000000000,
 '46': 5502622159812088949850305428800254892961651752960000000000,
 '47': 258623241511168180642964355153611979969197632389120000000000, '40': 815915283247897734345611269596115894272000000000,
 '41': 33452526613163807108170062053440751665152000000000, '42': 1405006117752879898543142606244511569936384000000000,
 '43': 60415263063373835637355132068513997507264512000000000, '48': 12413915592536072670862289047373375038521486354677760000000000,
 '49': 608281864034267560872252163321295376887552831379210240000000000,
 '0' : 1}


def factor(n):
    global D
    return D[str(n)]
        
n = int(input())
p = []
res = 0

for i in range(n):
    p.append(list(input()))
    c = p[i].count('C')
    res += factor(c)/(2*factor(c-2)) if c > 1 else 0

for col in list(zip(*p)):
    c = col.count('C')
    res += factor(c)/(2*factor(c-2)) if c > 1 else 0

print(int(res))
