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Commit f451f4a

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[Silver II] Title: 점프, Time: 76 ms, Memory: 30840 KB -BaekjoonHub
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# [Silver II] 점프 - 1890
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[문제 링크](https://www.acmicpc.net/problem/1890)
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### μ„±λŠ₯ μš”μ•½
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λ©”λͺ¨λ¦¬: 30840 KB, μ‹œκ°„: 76 ms
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### λΆ„λ₯˜
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λ‹€μ΄λ‚˜λ―Ή ν”„λ‘œκ·Έλž˜λ°(dp)
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### 문제 μ„€λͺ…
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<p&g×ば぀N κ²Œμž„νŒμ— μˆ˜κ°€ μ ν˜€μ Έ μžˆλ‹€. 이 κ²Œμž„μ˜ λͺ©ν‘œλŠ” κ°€μž₯ μ™Όμͺ½ μœ„ μΉΈμ—μ„œ κ°€μž₯ 였λ₯Έμͺ½ μ•„λž˜ 칸으둜 κ·œμΉ™μ— 맞게 점프λ₯Ό ν•΄μ„œ κ°€λŠ” 것이닀.</p>
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<p>각 칸에 μ ν˜€μžˆλŠ” μˆ˜λŠ” ν˜„μž¬ μΉΈμ—μ„œ 갈 수 μžˆλŠ” 거리λ₯Ό μ˜λ―Έν•œλ‹€. λ°˜λ“œμ‹œ 였λ₯Έμͺ½μ΄λ‚˜ μ•„λž˜μͺ½μœΌλ‘œλ§Œ 이동해야 ν•œλ‹€. 0은 더 이상 진행을 λ§‰λŠ” 쒅착점이며, 항상 ν˜„μž¬ 칸에 μ ν˜€μžˆλŠ” 수만큼 였λ₯Έμͺ½μ΄λ‚˜ μ•„λž˜λ‘œ κ°€μ•Ό ν•œλ‹€. ν•œ 번 점프λ₯Ό ν•  λ•Œ, λ°©ν–₯을 λ°”κΎΈλ©΄ μ•ˆ λœλ‹€. 즉, ν•œ μΉΈμ—μ„œ 였λ₯Έμͺ½μœΌλ‘œ 점프λ₯Ό ν•˜κ±°λ‚˜, μ•„λž˜λ‘œ 점프λ₯Ό ν•˜λŠ” 두 경우만 μ‘΄μž¬ν•œλ‹€.</p>
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<p>κ°€μž₯ μ™Όμͺ½ μœ„ μΉΈμ—μ„œ κ°€μž₯ 였λ₯Έμͺ½ μ•„λž˜ 칸으둜 κ·œμΉ™μ— 맞게 이동할 수 μžˆλŠ” 경둜의 개수λ₯Ό κ΅¬ν•˜λŠ” ν”„λ‘œκ·Έλž¨μ„ μž‘μ„±ν•˜μ‹œμ˜€.</p>
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### μž…λ ₯
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<p>첫째 쀄에 κ²Œμž„ 판의 크기 N (4 ≀ N ≀ 100)이 주어진닀. κ·Έ λ‹€μŒ N개 μ€„μ—λŠ” 각 칸에 μ ν˜€μ Έ μžˆλŠ” μˆ˜κ°€ Nκ°œμ”© 주어진닀. 칸에 μ ν˜€μžˆλŠ” μˆ˜λŠ” 0보닀 ν¬κ±°λ‚˜ κ°™κ³ , 9보닀 μž‘κ±°λ‚˜ 같은 μ •μˆ˜μ΄λ©°, κ°€μž₯ 였λ₯Έμͺ½ μ•„λž˜ μΉΈμ—λŠ” 항상 0이 주어진닀.</p>
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### 좜λ ₯
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<p>κ°€μž₯ μ™Όμͺ½ μœ„ μΉΈμ—μ„œ κ°€μž₯ 였λ₯Έμͺ½ μ•„λž˜ 칸으둜 문제의 κ·œμΉ™μ— 맞게 갈 수 μžˆλŠ” 경둜의 개수λ₯Ό 좜λ ₯ν•œλ‹€. <span style="line-height:1.6em">경둜의 κ°œμˆ˜λŠ” 2</span><sup style="line-height:1.6em">63</sup><span style="line-height:1.6em">-1보닀 μž‘κ±°λ‚˜ κ°™λ‹€.</span></p>
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# 점프 - λ‹€μ΄λ‚˜λ―Ή ν”„λ‘œκ·Έλž˜λ°
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N = int(input())
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board = [list(map(int, input().split())) for _ in range(N)]
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dp = [[0] * N for _ in range(N)]
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def fn(x, y):
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if x == 0 and y == 0:
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dp[x][y] = 1
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return
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down = 0
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for i in range(x): down += dp[i][y] if board[i][y] == x - i else 0
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right = 0
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for i in range(y): right += dp[x][i] if board[x][i] == y - i else 0
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dp[x][y] = down + right
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return
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for i in range(N):
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for j in range(N):
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fn(i, j)
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print(dp[N-1][N-1])

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