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60 lines (52 loc) · 1.58 KB
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Copy pathsolution.py
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60 lines (52 loc) · 1.58 KB
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def solution(n, a):
result = [0] * (n + 1)
if n == 1:
result[0] = 1
result[1] = a[0]
return result
dp_plus = [0] * n
dp_minus = [0] * n
dp_plus[0] = a[0]
dp_minus[0] = -a[0]
for i in range(1, n):
current_plus = a[i]
current_minus = -a[i]
plus_ok = False
minus_ok = False
if dp_plus[i-1] <= current_plus:
plus_ok = True
if dp_minus[i-1] <= current_plus:
plus_ok = True
if dp_plus[i-1] <= current_minus:
minus_ok = True
if dp_minus[i-1] <= current_minus:
minus_ok = True
if not plus_ok and not minus_ok:
return result
if plus_ok and minus_ok:
dp_plus[i] = current_plus
dp_minus[i] = current_minus
elif plus_ok:
dp_plus[i] = current_plus
dp_minus[i] = float('inf')
else:
dp_plus[i] = float('inf')
dp_minus[i] = current_minus
result[0] = 1
current = float('inf')
for i in range(n-1, -1, -1):
if i == n-1:
if dp_plus[i] != float('inf'):
result[i+1] = dp_plus[i]
current = dp_plus[i]
else:
result[i+1] = dp_minus[i]
current = dp_minus[i]
else:
if dp_plus[i] <= current:
result[i+1] = dp_plus[i]
current = dp_plus[i]
else:
result[i+1] = dp_minus[i]
current = dp_minus[i]
return result