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MOD = 1000000007
n = int(raw_input())
dp = [[0] * 5 for _ in range(n + 1)]
if n >= 1:
dp[1][1] = 1
if n >= 3:
dp[3][3] = 1
if n >= 4:
dp[4][4] = 1
nums = [1, 3, 4]
for s in range(1, n + 1):
for cur in nums:
if s >= cur:
prev_sum = s - cur
if prev_sum == 0:
continue
total = 0
for prev in nums:
if prev != cur:
total = (total + dp[prev_sum][prev]) % MOD
dp[s][cur] = (dp[s][cur] + total) % MOD
ans = (dp[n][1] + dp[n][3] + dp[n][4]) % MOD
print ans
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β 100% Working Solution
π― All Test Cases Passed
β‘ Dynamic Programming Approach
π₯ Clean & Optimized Code
MOD = 1000000007
n = int(raw_input())
dp = [[0] * 5 for _ in range(n + 1)]
if n >= 1:
dp[1][1] = 1
if n >= 3:
dp[3][3] = 1
if n >= 4:
dp[4][4] = 1
nums = [1, 3, 4]
for s in range(1, n + 1):
for cur in nums:
if s >= cur:
prev_sum = s - cur
if prev_sum == 0:
continue
total = 0
for prev in nums:
if prev != cur:
total = (total + dp[prev_sum][prev]) % MOD
dp[s][cur] = (dp[s][cur] + total) % MOD
ans = (dp[n][1] + dp[n][3] + dp[n][4]) % MOD
print ans
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