結果

問題 No.1916 Making Palindrome on Gird
ユーザー tassei903tassei903
提出日時 2022-04-29 22:53:21
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 554 ms / 3,000 ms
コード長 2,352 bytes
コンパイル時間 1,865 ms
コンパイル使用メモリ 82,044 KB
実行使用メモリ 143,684 KB
最終ジャッジ日時 2024-06-29 04:31:37
合計ジャッジ時間 8,238 ms
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 30
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

h,w = map(int, input().split())
s = [input() for i in range(h)]
if s[0][0] != s[-1][-1]:
print(0)
exit()
n = (h+w)//2
dp = [[[0 for k in range(w)]for j in range(w)]for i in range(n)]
dp[0][0][w-1] = 1
mod = 10**9 + 7
for i in range(n-1):
for j in range(w):
for k in range(w):
now = dp[i][j][k]
if now == 0:
continue
#print(i,j,k)
ni = i + 1
nj = j
nk = k - 1
nx1 = ni-nj
ny1 = nj
nx2 = h+w-2-ni-nk
ny2 = nk
#print(nx1,ny1,nx2,ny2)
if 0 <= nx1 < h and 0 <= ny1 < w and 0 <= nx2 < h and 0 <= ny2 < w and s[nx1][ny1] == s[nx2][ny2]:
dp[ni][nj][nk] += now
dp[ni][nj][nk] %= mod
ni = i + 1
nj = j
nk = k
nx1 = ni-nj
ny1 = nj
nx2 = h+w-2-ni-nk
ny2 = nk
if 0 <= nx1 < h and 0 <= ny1 < w and 0 <= nx2 < h and 0 <= ny2 < w and s[nx1][ny1] == s[nx2][ny2]:
dp[ni][nj][nk] += now
dp[ni][nj][nk] %= mod
ni = i + 1
nj = j + 1
nk = k - 1
nx1 = ni-nj
ny1 = nj
nx2 = h+w-2-ni-nk
ny2 = nk
#print(nx1,ny1,nx2,ny2)
if 0 <= nx1 < h and 0 <= ny1 < w and 0 <= nx2 < h and 0 <= ny2 < w and s[nx1][ny1] == s[nx2][ny2]:
dp[ni][nj][nk] += now
dp[ni][nj][nk] %= mod
ni = i + 1
nj = j + 1
nk = k
nx1 = ni-nj
ny1 = nj
nx2 = h+w-2-ni-nk
ny2 = nk
if 0 <= nx1 < h and 0 <= ny1 < w and 0 <= nx2 < h and 0 <= ny2 < w and s[nx1][ny1] == s[nx2][ny2]:
dp[ni][nj][nk] += now
dp[ni][nj][nk] %= mod
if (h+w-1)%2:
ans = 0
for j in range(w):
ans += dp[n-1][j][j]
ans %= mod
print(ans)
else:
ans = 0
ni = n-1
for nj in range(w):
for nk in range(w):
nx1 = ni-nj
ny1 = nj
nx2 = h+w-2-ni-nk
ny2 = nk
if 0 <= nx1 < h and 0 <= ny1 < w and 0 <= nx2 < h and 0 <= ny2 < w and abs(nx1-nx2)+abs(ny1-ny2)<=1:
ans += dp[ni][nj][nk]
ans %= mod
print(ans)
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