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# 664. Strange Printer
"""
there is a strange printer with the following two special properties:
- the printer can only print a sequence of the same character each time
- at each turn, the printer can print new characters starting from and eding
at any place and will cover the origin existing characters given a string
's', return the minimum number of turns the printer needed to print it.
"""
class Solution(object):
def strangePrinter(self, s):
"""
:type s: str
:rtype: int
"""
n = len(s)
dp = [[0] * n for _ in range(n)]
for i in range(n - 1, -1, -1):
dp[i][i] = 1
for j in range(i + 1, n):
if s[i] == s[j]:
dp[i][j] = dp[i][j - 1]
else:
dp[i][j] = dp[i][j - 1] + 1
for k in range(i, j):
dp[i][j] = min(dp[i][j], dp[i][k] + dp[k + 1][j])
return dp[0][n - 1]
if __name__ == "__main__":
obj = Solution()
print(obj.strangePrinter("aaabbb"))
print(obj.strangePrinter("aba"))
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