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Minimum Insertions to Form a Palindrome

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Given a string, find the minimum number of characters to be inserted to convert it to palindrome.

ab: Number of insertions required is 1 i.e. bab
aa: Number of insertions required is 0 i.e. aa
abcd: Number of insertions required is 3 i.e. dcbabcd
abcda: Number of insertions required is 2 i.e. adcbcda
abcde: Number of insertions required is 4 i.e. edcbabcde