AtCoder Regular Contest 038 解説

AtCoder Regular Contest 038
解説
AtCoder株式会社
2015/5/2 1

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d h ] ac
a h u i ye
eo i y [ Re e
i y rh
C C
N N

d s
c R rk i ~∼d[ R
r
+ n
0 81

-‐‑‒
B1k uC d k j
C y k j WC j
C d d d k ^ k
k C j y g W
y c k
g kh d
H H
O 1 O

y
6 g
g y ksRj g j un
judge(i,)j):)#)(i,j)に駒がある状態から開始したときの勝敗)
))if)(i,j))が盤外)or)障害物:)return)勝ち)
))if)judge(i+1,j))==)負け:)return)勝ち)
))if)judge(i+1,j+1))==)負け:)return)勝ち)
))if)judge(i,j+1))==)負け:)return)勝ち)
))return)負け

j
mem[1000][1000])を「未定」で初期化)
judge(i,)j):)#)(i,j)に駒がある状態から開始したときの勝敗)
))if)(i,j))が盤外)or)障害物:)return)勝ち)
))if)mem[i][j])!=)未定:)return)mem[i][j])
))result)=)負け)
))if)judge(i+1,j))==)負け:)result)=)勝ち)
))if)judge(i+1,j+1))==)負け:)result)=)勝ち)
))if)judge(i,j+1))==)負け:)result)=)勝ち)
))return)mem[i][j])=)result

0 3
k y 1 g W
1 g uC j R

C d k rR
x
A y o
3 8 4 y d
G G k e sRj n
C j e k xk k C
x g R gj e n

3 ic O 1 i h d
0 i x d
] { O h y { ns dk
h 1 } h
~∼ k xu l
} i yhR
3 8)
0 8,

-‐‑‒
= C
te {O o o
c h { l
= C d

-‐‑‒
i y l
1 2 1 2 4 3
= C 0 0 0 0 0 0 0
[ ] ^ a

-‐‑‒
[ y ic = C
im { du O
-‐‑‒
G [ {O
m = C
1 2 1 2 4 3
= C 0 0 0 0 0 0
[ ] ^ a

y ic = C
h [ s u O
-‐‑‒
G {O
m = C 4
-‐‑‒
1 2 1 2 4 3
= C 4 0 0 0 0 0
[ ] ^ a

] y ic = C
]h [ s u O
-‐‑‒ 4
G ] {O
m = C
-‐‑‒
1 2 1 2 4 3
= C 4 0 0 0 0
[ ] ^ a

^ y ic = C
^h ] s u O
-‐‑‒
G [ {O
m = C
-‐‑‒
1 2 1 2 4 3
= C 4 0 0 0
[ ] ^ a

y ic = C
h ] ^ s u O
-‐‑‒
G {O
m = C 4
-‐‑‒
1 2 1 2 4 3
= C 4 4 0 0
[ ] ^ a

y ic = C
h ] ^ s u O
-‐‑‒ 4
G ^ {O
m = C 6
-‐‑‒
1 2 1 2 4 3
= C 4 4 6 0
[ ] ^ a

a y ic = C
ah ^ s u O
-‐‑‒ 4 6
G ] {O
m = C
-‐‑‒
1 2 1 2 4 3
= C 4 4 6
[ ] ^ a

m e o = C m i{
-‐‑‒
1 2 1 2 4 3
= C 4 4 6
[ ] ^ a

i]y c }e dd{o eh
-‐‑‒
1 2 1 2 4 3
= C 4 4 6
[ ] ^ a

}g dl O
= C m i{
ohoO t e m o k
-‐‑‒
1 2 1 2 4 3
= C 4 4 6
[ ] ^ a

y ic = C 4
^ y ic = C
a y ic = C
m im = C x d
y O4 6im = C {
-‐‑‒
1 2 1 2 4 3
= C 4 4 6
[ ] ^ a

-‐‑‒
= C i od {o ehR
= C i[{ d h O 
N r= C i[ {
= C i[ h O 
N= C i[ { d
de h Oc = C i
[{ d
[
dem i {

4
y ic = C
N h 3 { O
yd = C
m i[{ d {O[

4
y ic = C =
= O
= 1 = d [
ic
[i h i h
~∼ dl 38 { m i{
i h ~∼
G } d m {O 3 A = 3 3 {

4
= 38 hlu O
~∼ = 38
uO { 9 0 3 {O
= C 9 0 3
Om { d

O
~∼ = 38
{ d{ iO
= C 9 0 3
{ d s

= C O
x d
0 ) O
= = = = =
de o d iOm O
= = = O
=
{
m e ]yry ns m

= C O
0 i {c e = l {
3 { dm O
m d

= = A i ~∼ e
de xu =G oyy= dk
yd O u y
m =G { em O 
A = 3 { = m i{
3 A = 3 O d

0
3 x a[
B y 89B a r
M X M s r
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R a hMlx x[ r
a R x
a h ] hM a h
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R a * s * s y
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au s h e
] M R y R ss
R x y 9 a[ 9 s M
i ] yM ]
xs a

9 R 9 a[ 9 ] ^rM
l m x x
a x yM x x x]o M
a x yM x x x]o
]
S BF s

3
a R
a R
r n M y 3 M
x sy ]

N x o 
N x o
] R x s n
a ge g u a o dM
a e u a o d n M
x s as

N x o 
N x o
] R yM
r a x d M
r a x d n ^ M
N s x o 
N s x o
] R

N s x o 
N s x o
] R x s d n

a 9 x[ 9 x ^
x
２
３
１
４
１先
２先
３先
４先
２後
１後
４後
３後

x x
O Rx o
O
O Rx e
h
１先
２先
３先
４先
２後
１後
４後
３後

h ysu^ l
S l u c
１先
２先
３先
４先
２後
１後
４後
３後

M
N a[
N a r
] R l rM
ehr
１先
２先
３先
４先
２後
１後
４後
３後

x R s r n M
x O o
x O e
x O e
S x x y
１先
２先
３先
４先
２後
１後
４後
３後

x y ^ x ] s r
x x as r M
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１先
２先
３先
４先
２後
１後
４後
３後

x sy R a[ xsM
eS R y h ^ a[
n M Ry
x R xsM x R a[
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h y M 1 ^ l
c u ^ M
c ^ u l
X c u u i^
h y l
n l
x e yx u^ l

AtCoder Regular Contest 038 解説

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AtCoder Regular Contest 038 解説