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더 보기

틀:계산기2/core(비교)

r4 vs r5
......
167167
##== 곱셈 & 나눗셈 ==
168168
##=== 숫자 초기화 ===
169169
{{{#!if (f=="*")||(f=="/")
170
곱셈 및 나눗셈 연산과정을 봅니다.
171
18자리 숫자로 입력할 수 있는 최대 정수는 999,999,999,999,999,999입니다.
172
다행히 999,999,999,999,999,999*9=8,999,999,999,999,999,991 < long 한계치 9,223,372,036,854,775,807 이라서 a*각 자릿수로 덧셈해볼 수는 있습니다.
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a 또는 b가 음수가 될 경우 as 또는 bs 문자열은 "-" 기호가 붙으므로, 이것을 이용한 조건문을 하나 만들어 a와 b 둘의 부호가 서로 다를 경우 (a만 음수이거나 b가 음수일 경우) 계산 결과에 부호를 표시할 수 있게 만듭니다.
175170
{{{#!if (as[0]==45)^(bs[0]==45)
176171
{{{#!if ns="-"
177
}}}}}}
178
a 또는 b가 음수가 될 경우 소수점 윗부분 문자열인 au 또는 bu에서 마이너스(-)를 제거합니다.
179
{{{#!if au[0]==45
172
}}}}}}{{{#!if au[0]==45
180173
{{{#!if au=au.substr(1,ad-1)
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}}}}}}
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{{{#!if bu[0]==45
174
}}}}}}{{{#!if bu[0]==45
183175
{{{#!if bu=bu.substr(1,bd-1)
184176
}}}}}}
185
186177
##=== 자릿수 측정 ===
187
나누는 자릿수에 맞춰 결과를 표시하고자 ac, bc를 자릿수를 나타내는 값으로 정의합니다.
188
먼저 au는 앞에 적어놓은 0을 제거한 문자열이므로 +au>0인 경우 ac를 au의 문자열 길이에서 1을 뺀 값으로 정의합니다.
189178
{{{#!if +au>0
190179
{{{#!if ac=au.length-1
191
}}}}}}
192
(au, ab 둘다 0인 경우 앞에 처리하는 식이 있고, au, ab 둘 중 하나라도 0이 아닐 때) au가 0이라면 ab는 단순 정수값으로 옮겼을 때 0보다 큰 값이 나옵니다. 소수점 아래 처음으로 0이 아닌 수가 나오는 자릿수를 구한 다음 덧셈 연산에서 그 수의 역원이 되는 수를 ac로 정의합니다. 이를 구하고자 ab의 뒤에 0을 더 붙여 18자리 숫자로 만든 다음 정수로 바꾸어 구합니다.
193
{{{#!if +au==0
180
}}}}}}{{{#!if +au==0
194181
{{{#!if ac=ab+pd, ac=ac.substr(0,18), ac=+ac, ac=ac.toString(), ac=ac.length-19
195
}}}}}}
196
197
bc도 a와 같은 방법으로 정의합니다.
198
{{{#!if +bu>0
182
}}}}}}{{{#!if +bu>0
199183
{{{#!if bc=bu.length-1
200184
}}}}}}{{{#!if +bu==0
201185
{{{#!if bc=bb+pd, bc=bc.substr(0,18), bc=+bc, bc=bc.toString(), bc=bc.length-19
202186
}}}}}}
203
204187
##=== 0인자 처리 ===
205
a 또는 b값이 0이 되려면 au, ab 둘 다 0이 되거나 bu, bb 둘 다 0이 되어야 합니다. a 또는 b 값이 0일 경우 당연히 음수 부호가 표시되지 않습니다.
206188
{{{#!if ((+au==0)&&(+ab==0))||((+bu==0)&&(+bb==0))
207
곱셈에서 0을 곱하면 0이 되므로, 곱셈의 경우 a 또는 b가 0이 될 때 계산 결과에 0을 반환합니다.
208189
{{{#!if f=="*"
209190
{{{#!if rs="", ru="0", rb="", ri="", rp=0, ns=""
210
}}}}}}
211
나눗셈에서 나누는 수(b)가 0이 될 경우 오류를 반환하고 ps=true를 걸어 나눗셈 연산이 되지 않게 만듭니다.
212
{{{#!if f=="/"
191
}}}}}}{{{#!if f=="/"
213192
{{{#!if ((+bu==0)&&(+bb==0))
214
error code 03 번 : 0으로 나눌 수 없습니다.
215193
{{{#!if eb=03, ps=true
216
}}}}}}
217
나누는 수가 0이 아니면서 나눌 대상이 0이 될 경우 곱셈에서 0을 곱하는 것처럼 계산 결과에 0을 반환합니다.
218
{{{#!if ((+au==0)&&(+ab==0))&&((+bu!=0)||(+bb!=0))
194
}}}}}}{{{#!if ((+au==0)&&(+ab==0))&&((+bu!=0)||(+bb!=0))
219195
{{{#!if rs="", ru="0", rb="", ri="", rp=0, ns=""
220
}}}}}}
221
}}}}}}
222
곱셈과 나눗셈에서 a와 b 모두 0이 아닌 경우를 봅니다.
196
}}}}}}}}}}}}
223197
{{{#!if ((+au!=0)||(+ab!=0))&&((+bu!=0)||(+bb!=0))
224
225198
##=== 3차 초기화 ===
226199
{{{#!if f=="*"
227
곱셈계산에서 18자리씩 곱셈을 할 수 있도록 입력했던 a와 b의 문자열을 확장할 것입니다.
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a와 b 각각 소수점 윗자리와 소수점 아래자리의 문자열의 빈 공간을 0으로 채워 18자로 만듭니다.
230
소수점 윗자리는 왼쪽에서 0을 채워나갑니다.
231200
{{{#!if au = pd + au
232201
+18자}}}{{{#!if au=au.substr(au.length-18,18)
233
}}}
234
{{{#!if bu = pd + bu
202
}}}{{{#!if bu = pd + bu
235203
+18자}}}{{{#!if bu=bu.substr(bu.length-18,18)
236
}}}
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소수점 아래자리는 오른쪽에서 0을 채웁니다. (ap, bp값은 보존됩니다.)
239
{{{#!if ab += pd
204
}}}{{{#!if ab += pd
240205
+18자}}}{{{#!if ab=ab.substr(0,18)
241
}}}
242
{{{#!if bb += pd
206
}}}{{{#!if bb += pd
243207
+18자}}}{{{#!if bb=bb.substr(0,18)
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}}}}}}
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{{{#!if f=="/"
247
나눗셈은 소수점 위 18번째 자리부터 내려가면서 처음으로 0이 아닌 숫자가 있으면 그 숫자가 처음 숫자가 되도록 숫자를 왼쪽으로 밀어두려고 합니다. 그 다음 오른쪽을 0으로 채웁니다.
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a에서 au가 0인 경우 18자리 au를 18자리 ab로 바꾸고 ab를 18자의 0(pd)으로 채웁니다.
250
소수점 아래 자리를 매겼던 ab가 소수점 위인 au자리로 옮겨지게 되므로 정수로 바꾸었다 다시 문자열로 바꿈으로써 왼쪽에 불필요하게 붙어있는 0을 삭제합니다.
208
}}}}}}{{{#!if f=="/"
251209
{{{#!if +au==0
252210
{{{#!if au=ab, ab=pd, au=+au, au=au.toString()
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}}}}}}
254
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au를 왼쪽으로 밀 경우 남게 되는 자릿수를 변수 tu로 둡니다. (후술할 아래 곱셈연산과 겹치지 않습니다.)
256
{{{#!if tu=18-au.length, au=au+ab.substr(0,tu)+pd, ab=ab.substr(tu)+pd, au=au.substr(0,18), ab=ab.substr(0,18)
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}}}
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b도 a와 같은 방법으로 초기화합니다.
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{{{#!if +bu==0
211
}}}}}}{{{#!if tu=18-au.length, au=au+ab.substr(0,tu)+pd, ab=ab.substr(tu)+pd, au=au.substr(0,18), ab=ab.substr(0,18)
212
}}}{{{#!if +bu==0
261213
{{{#!if bu=bb, bb=pd, bu=+bu, bu=bu.toString()
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}}}}}}
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{{{#!if tu=18-bu.length, bu=bu+bb.substr(0,tu)+pd, bb=bb.substr(tu)+pd, bu=bu.substr(0,18), bb=bb.substr(0,18)
264
}}}
265
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}}}
267
}}}
268
여기까지 곱셈 또는 나눗셈에서 숫자를 초기화하는 과정입니다.
269
}}}
270
214
}}}}}}{{{#!if tu=18-bu.length, bu=bu+bb.substr(0,tu)+pd, bb=bb.substr(tu)+pd, bu=bu.substr(0,18), bb=bb.substr(0,18)
215
}}}}}}}}}}}}
271216
##=== 곱셈 ===
272
a와 b 모두 0이 아닌 경우에서 곱셈을 연산하는 과정입니다.
273217
{{{#!if (f=="*")&&((+au!=0)||(+ab!=0))&&((+bu!=0)||(+bb!=0))
274
곱셈은 18자리를 끊어서 계산합니다. 소수점 아래 18자리의 아래인 제19~36번 자리를 ri로 둡니다. 소수점 위 19~36번째 자리는 rs로 두어 ri, rb, ru, rs 순으로 계산합니다.
275
소수점 위 18자리, 소수점 아래 18자리인 두 수를 곱하면 해당하는 자리별로 곱셈을 할 때 최대 (18+18)**2=1296회를 곱해야 합니다.
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앞으로 있을 계산은 다음과 같습니다.
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* ri를 더했더니 ri가 19자리 숫자로 넘치면 넘친 앞의 1자리를 rb로 넘깁니다.
279
* rb가 19자리로 넘쳤다면 넘친 앞의 1자리를 ru로 넘깁니다.
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* ru가 19자리로 넘친다면 넘친 앞의 1자리를 rs로 넘깁니다.
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(rs는 상용로그로 보았을 때 log a<18, log b<18 에서 log (a*b) = log a + log b < 36이므로 19자리로 넘치지 않습니다.)
282
문자열로 바꾸고 문자열을 쪼갠 다음 숫자로 바꾸는 과정입니다. 이를 if로 바꾸면 다음과 같습니다.
283
{{{#!if false
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{{{#!if ri=ri.toString(), ri.length==19
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{{{#!if rb=(+rb)+(+ri.substr(0,1)), ri=(+ri.substr(1,18))
286
}}}}}}
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{{{#!if rb=rb.toString(), rb.length==19
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{{{#!if ru=(+ru)+(+rb.substr(0,1)), rb=(+rb.substr(1,18))
289
}}}}}}
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{{{#!if ru=ru.toString(), ru.length==19
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{{{#!if rs=(+rs)+(+ru.substr(0,1)), ru=(+ru.substr(1,18))
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}}}}}}
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}}}
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변수 tv, tw, i, ps를 가져옵니다. tw는 0, tv는 1, i는 0, ps는 false으로 초기화 된 채로 있습니다. 연산 과정 중간중간에 마지막 자릿수를 보정하고자 10씩 곱하게 됩니다. ri에서 최대 18자리에서 1자리 수를 곱하면 19자리가 될 수 있으므로 곱셈할 때마다 19자리로 넘칠때마다 넘치는 숫자는 rb로 넘깁니다.
295
ri부분을 합산합니다. ab*bb 의 절반을 처리합니다. (자릿수끼리 대입했을 때 처리되는 부분이 먼저 입력한 절반이 나중에 입력하는 절반보다 더 많지만, 편의상 절반이라고 적습니다.)
296
## for i=0 to 17
218
##ri
297219
{{{#!if tw=(+ab.substr(i,18-i))*(+bb.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), rb=ps?rb+(+tw.substr(0,1)):rb, ri=ps?ri+(+tw.substr(1)):ri+(+tw), ri=ri.toString(), ps=(ri.length==19), rb=ps?rb+(+ri.substr(0,1)):rb, ri=ps?(+ri.substr(1)):(+ri), i+=1, tv*=10
298220
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bb.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), rb=ps?rb+(+tw.substr(0,1)):rb, ri=ps?ri+(+tw.substr(1)):ri+(+tw), ri=ri.toString(), ps=(ri.length==19), rb=ps?rb+(+ri.substr(0,1)):rb, ri=ps?(+ri.substr(1)):(+ri), i+=1, tv*=10
299221
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bb.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), rb=ps?rb+(+tw.substr(0,1)):rb, ri=ps?ri+(+tw.substr(1)):ri+(+tw), ri=ri.toString(), ps=(ri.length==19), rb=ps?rb+(+ri.substr(0,1)):rb, ri=ps?(+ri.substr(1)):(+ri), i+=1, tv*=10
......
313235
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bb.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), rb=ps?rb+(+tw.substr(0,1)):rb, ri=ps?ri+(+tw.substr(1)):ri+(+tw), ri=ri.toString(), ps=(ri.length==19), rb=ps?rb+(+ri.substr(0,1)):rb, ri=ps?(+ri.substr(1)):(+ri), i+=1, tv*=10
314236
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bb.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), rb=ps?rb+(+tw.substr(0,1)):rb, ri=ps?ri+(+tw.substr(1)):ri+(+tw), ri=ri.toString(), ps=(ri.length==19), rb=ps?rb+(+ri.substr(0,1)):rb, ri=ps?(+ri.substr(1)):(+ri), i+=1, tv*=10
315237
}}}
316
317238
##rb
318
rb부분을 합산합니다. substr(-1,0)은 빈 문자열 값이 나옵니다. (ab*bb의 나머지 절반 + au*bb의 절반), ab*bu의 절반을 처리합니다. i, tv, ps를 다시 초기화하고 시작합니다.
319239
{{{#!if i=0+0, tv=1
240
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
241
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
242
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
243
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
244
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
245
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
246
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
247
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
248
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
249
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
250
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
251
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
252
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
253
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
254
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
255
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
256
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
257
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
320258
}}}
321
##for i=0 to 17
322
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
323
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
324
}}}
325
## i=1
326
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
327
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
328
}}}
329
## i=2
330
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
331
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
332
}}}
333
## i=3
334
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
335
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
336
}}}
337
## i=4
338
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
339
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
340
}}}
341
## i=5
342
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
343
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
344
}}}
345
## i=6
346
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
347
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
348
}}}
349
## i=7
350
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
351
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
352
}}}
353
## i=8
354
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
355
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
356
}}}
357
## i=9
358
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
359
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
360
}}}
361
## i=10
362
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
363
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
364
}}}
365
## i=11
366
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
367
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
368
}}}
369
## i=12
370
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
371
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
372
}}}
373
## i=13
374
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
375
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
376
}}}
377
## i=14
378
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
379
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
380
}}}
381
## i=15
382
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
383
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
384
}}}
385
## i=16
386
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
387
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
388
}}}
389
## i=17
390
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bb.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb)
391
}}}{{{#!if tw=(+ab.substr(i,18-i))*(+bu.substr(17-i,1))*tv, tw=tw.toString(), ps=(tw.length==19), ru=ps?ru+(+tw.substr(0,1)):ru, rb=ps?rb+(+tw.substr(1)):rb+(+tw), rb=rb.toString(), ps=(rb.length==19), ru=ps?ru+(+rb.substr(0,1)):ru, rb=ps?(+rb.substr(1)):(+rb), i+=1, tv*=10
392
}}}
393
394259
##ru
395
ru부분을 합산합니다. substr(-1,0)은 빈 문자열 값이 나옵니다. (ab*bu의 나머지 절반 + au*bu의 절반), au*bb의 나머지 절반을 처리합니다. i, tv, ps를 다시 초기화하고 시작합니다.
396260
{{{#!if i=0+0, tv=1
261
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
262
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
263
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
264
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
265
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
266
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
267
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
268
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
269
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
270
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
271
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
272
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
273
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
274
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
275
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
276
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
277
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
278
}}}{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
397279
}}}
398
##for i=0 to 17
399
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
400
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
401
}}}
402
## i=1
403
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
404
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
405
}}}
406
## i=2
407
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
408
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
409
}}}
410
## i=3
411
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
412
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
413
}}}
414
## i=4
415
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
416
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
417
}}}
418
## i=5
419
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
420
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
421
}}}
422
## i=6
423
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
424
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
425
}}}
426
## i=7
427
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
428
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
429
}}}
430
## i=8
431
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
432
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
433
}}}
434
## i=9
435
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
436
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
437
}}}
438
## i=10
439
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
440
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
441
}}}
442
## i=11
443
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
444
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
445
}}}
446
## i=12
447
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
448
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
449
}}}
450
## i=13
451
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
452
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
453
}}}
454
## i=14
455
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
456
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
457
}}}
458
## i=15
459
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
460
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
461
}}}
462
## i=16
463
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
464
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
465
}}}
466
## i=17
467
{{{#!if tw=+(au.substr(i,18-i)+ab.substr(0,i)), tw=tw*(+bu.substr(17-i,1)), tw=tw.toString(), ps=(tw.length==19), rs=ps?rs+(+tw.substr(0,1)):rs, ru=ps?ru+(+tw.substr(1)):ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru)
468
}}}{{{#!if tw=(+au.substr(0,i))*(+bb.substr(17-i,1)), ru=ru+(+tw), ru=ru.toString(), ps=(ru.length==19), rs=ps?rs+(+ru.substr(0,1)):rs, ru=ps?(+ru.substr(1)):(+ru), i+=1, tv*=10
469
}}}
470
471280
##rs
472
rs부분을 합산합니다. au*bu의 나머지 절반을 처리합니다. i, tv, ps를 다시 초기화하고 시작합니다. 소수점 윗자리는 많아야 36자리이므로 rs에서 더 이상 넘치지 않습니다.
473281
{{{#!if i=0+0, tv=1, ps=false
474
}}}
475
##for i=0 to 17
476
{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
477282
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
478283
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
479284
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
......
483288
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
484289
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
485290
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
486
}}}
487
{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
488291
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
489292
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
490293
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
......
492295
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
493296
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
494297
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
495
}}}
496
여기까지가 곱셈에서 a*b 의 연산 과정이며 rb 정리 부분으로 넘어갑니다.
497
}}}
498
298
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
299
}}}{{{#!if tw=(+au.substr(0,i))*(+bu.substr(17-i,1)), rs=rs+tw, i+=1
300
}}}}}}
499301
##=== 나눗셈 ===
500302
a와 b 모두 0이 아닌 경우에서 나눗셈을 연산하는 과정입니다.
501303
{{{#!if (f=="/")&&((+au!=0)||(+ab!=0))&&((+bu!=0)||(+bb!=0))
......