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
fact = [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000, 51090942171709440000, 1124000727777607680000, 25852016738884976640000, 620448401733239439360000, 15511210043330985984000000, 403291461126605635584000000, 10888869450418352160768000000, 304888344611713860501504000000, 8841761993739701954543616000000, 265252859812191058636308480000000, 8222838654177922817725562880000000, 263130836933693530167218012160000000, 8683317618811886495518194401280000000, 295232799039604140847618609643520000000, 10333147966386144929666651337523200000000, 371993326789901217467999448150835200000000, 13763753091226345046315979581580902400000000, 523022617466601111760007224100074291200000000, 20397882081197443358640281739902897356800000000, 815915283247897734345611269596115894272000000000, 33452526613163807108170062053440751665152000000000, 1405006117752879898543142606244511569936384000000000, 60415263063373835637355132068513997507264512000000000, 2658271574788448768043625811014615890319638528000000000, 119622220865480194561963161495657715064383733760000000000, 5502622159812088949850305428800254892961651752960000000000, 258623241511168180642964355153611979969197632389120000000000, 12413915592536072670862289047373375038521486354677760000000000, 608281864034267560872252163321295376887552831379210240000000000, 30414093201713378043612608166064768844377641568960512000000000000, 1551118753287382280224243016469303211063259720016986112000000000000, 80658175170943878571660636856403766975289505440883277824000000000000, 4274883284060025564298013753389399649690343788366813724672000000000000, 230843697339241380472092742683027581083278564571807941132288000000000000, 12696403353658275925965100847566516959580321051449436762275840000000000000, 710998587804863451854045647463724949736497978881168458687447040000000000000, 40526919504877216755680601905432322134980384796226602145184481280000000000000, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 138683118545689835737939019720389406345902876772687432540821294940160000000000000, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 507580213877224798800856812176625227226004528988036003099405939480985600000000000000, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000, 24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000, 1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000, 145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000, 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000, 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000, 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000, 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000, 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000, 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000, 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000, 281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000, 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000, 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000, 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000, 16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000, 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000, 135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000, 12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000, 1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000, 108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000, 10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000, 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000, 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000, 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000, 933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000, 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000]

def nCr(n, r):
    return fact[n]//(fact[r]*fact[n-r])

n = int(input().strip())
arr = []
for _ in range(n):
    arr += [list(input().strip())]
    
happiness = 0
for row in arr:
    happiness+=nCr(row.count("C"),2)
for j in range(n):
    col = []
    for i in range(n):
        col += [arr[i][j]]
    happiness+=nCr(col.count("C"),2)
print(happiness)