引用第656楼iongwaichun于2008-12-02 21:45发表的 :
. O6 n* Y9 q! k. Q. v0 u5 J8 I+ OP8:
( g/ a3 l L' a6 R% w1114523221 1 X9 f# _8 p, n* u6 p7 |1 w4 ?
重做一次後,Here is my solution: g* t, K- e2 P* c4 i
9 Z. R7 S5 O, X
9 _* S4 j8 [. n4 {P8:; ~5 n; @8 B& f! u) m
Here is my deduction:
5 l. C& H1 J" H% wFrom the left 3 digit, we can deduct the following:2 k* v8 X/ G2 X8 ?2 m
112+ I# Q2 n8 K9 a+ u
111# j. T6 i! x0 D0 V9 @
112
- |8 z5 p6 h1 y: F111
5 E' n4 @& X" @/ _113
9 Q1 p1 I8 d: W7 L8 C4 ?: nSo, the final line = 111& N6 K4 q, D/ D6 [
2 B5 y: k: W! t/ h
9 H Q" [. [. _6 z- n0 N( v2 EFrom the right 3 digit, we can deduct the following(S):% D+ R! M8 w2 k9 q7 g1 u, Z8 U0 }/ I
121* R; T' q E: n' ^* W
2210 Y2 g/ D2 _2 T1 C7 z, X
2316 @* t3 U6 V( m
221) J' \ ?& {1 [, r) |
331
7 a8 [0 t( G8 h e" ~
! ]. |! E6 ]' i6 T6 R3 y% _6 QSo, the final Line = 221
7 C* U/ N% X a6 R! O# p+ i' G& M8 d4 m7 ?8 ^+ y" D, h% s
In the uppesmost line, the middle letters had been use twice, they are 1 and 28 Y+ @1 Z- f- H0 ?) i) P/ p9 u$ @& Q
From the remaining numbers, there are 32 on the second last line provided,
8 b* H# m+ V% Z! q/ X$ rand 21 on the last line# e. D# Q Q' T! `2 f4 v
' s7 j: B3 Y8 \; d0 ^/ C4 lWe now had the sequence:! J+ i: N2 ^" N8 e ]- N
122 u4 ~5 G3 c* t) H2 f a
32; C+ c Y8 d. a: |' @9 v* H t
21- k5 i6 F; S4 d2 T) A# b: U
8 k- R: {/ Q! a# K8 |So, the last line's middle numbers is 23 (exchange the two numbers)
3 L) o) `& f' ]3 v- w* i) Y+ m) P$ @( F, q) _9 X1 k- X- E
Now we have the following numbers:9 J2 ]( ~5 x+ r" C* B/ J( D
111x23y221. y2 I( m& }5 s! {. ]
Culculate the total of every line, then we can conclude the following& n8 _0 _- Q6 B- @' O
Difference between line 1 and line 2=30 a, u! h2 B' x8 e" m
Difference between line 2 and line 3=2
# Q/ k0 L* ^* T; u4 b9 ZDifference between line 3 and line 4=3! F c+ u3 |% W
Difference between line 4 and line 5=2* X5 ~; D5 r( K
So, Difference between line 5 and line 6=38 {1 A: J9 [( ~- r7 |! |, F( W
& P1 s: T# z* a; M2 H/ p. l* m
But now, the total of our deduction=13& x+ q, d9 `: ~: H
Line 5's total=15
) C/ Y5 C' z( g- q/ ^5 ~7 dwhich means X+Y=(15+3)-13
: Q* D, B$ U8 R- R/ t, v9 ]; { =18-13) ~9 F5 Y' q' ?" h! I
=5
( B& ]3 i8 C# U# }7 a4 v: BSo, If x=2, y=3- Y- z: t2 T2 L. R C
x=3, y=2
3 h2 E8 F8 k: a# R4 q5 l4 T G. @2 t. Q
9 T8 J( o# E0 w( jAns=1112233221 2 h% c3 _# S; q5 A& v/ V
or
; C- ]+ W* }& q" i3 q' A5 ^( ]' FAns=1113232221 |