P13994 [HackerEarth] Palindrome is a string that reads the same backward as forward, e.g., madam.
普及
题目描述

Palindrome is a string that reads the same backward as forward, e.g., madam.

You are given a string whose length is even, and each character of the string is either 'a', 'b' or '/' Your task is to replace each occurrence of '/' in string with either 'a' or 'b' such that the string becomes a palindrome.

You are also given two integers, aCost and bCost. Replacing '/' with 'a' costs aCost, and replacing '/' with 'b' costs bCost.

Return the minimum cost of replacing '/' by 'a' and 'b' such that the string turns into a palindrome. If it is impossible to obtain a palindrome, return -1.

Constraints
string will contain between 1 and 10000 characters, inclusive.
The length of string will be even.
Each character of the string will be either 'a' or 'b' or '/'.
aCost will be between 1 and 100, inclusive.
bCost will be between 1 and 100, inclusive.

Input Format

First line of input will contain the number of test cases.
For each test case, there will be of three lines, the first line is the string whose palindrome is to be constructed, the second is the aCost and the third is the bCost

Examples

1

aba/bab/

4

6

Returns: 10

The only way to produce a palindrome is to replace 4th character of string with 'b' and 8th character with 'a'. The first replacement costs 4, the second costs 6, so the total cost is 4+6=10.

aaaabbbb

12

34

Returns: -1

There is no '/' character, and string is not a palindrome. We have no way to change it into a palindrome.

SAMPLE INPUT
1
baba//aaa/ab//
72
23

SAMPLE OUTPUT
213

输入格式

见题面

输出格式

见题面

样例输入
83 //aaabab/abaaaab/a/b/bab/a/aa/bb/a/ba//baab//bab//a/aa////b/ab//baa/abaab/b/abbba///b/a/bba/a//bbba/bab/baaaaa/b/aaaabbb/ba/aaaaaabba//abbaa/aa///ab//ba/a//aa/ba//aaab/abab//aababa/bbab/b//a/bab/aa/babab/bbab/bbaab/a/b/bbb/a/bbabbbba//abb/bba/b/bbba/ab///babaaa///b/abaabba//baa/ab//b/abaa/bba/bba/bbbb/aaababa/b/baaa/ab/b/aaab/aa/bbbaba//a//b/ababa/ab//abaa/b//ba//abb/aaa/a/a////ba/ab/a/bbbbb//bab///aa/b/abbbbba///bba/ba/ababaababaa/b/aaa/abaaa//ba/aa///b//baabaab/ba//aab/ba/bbababa/b///aba/aa/aa/b////abaaababa/abbaab/baaabbb//b/b//abaa//babbab////bbb/ba//a//ab/bbbbbb/bbaaab//aba/b/////abbbbb/a/aba/ba/ab//////ba//a/bb///abab/aa//abbb/a/abb/a/a//bbaa/b/aaabb//aab/bbabbbba/a///a/a/a//aabb/b/b/abbb//bbbbbbbb/aba/bbab/bb/aab//a/aaaaabbba/b/babbaab/b/ab/ab//aaab/b/b//ab//bbabab////b//b/aa/b//ba/bbaa//b/ab///aba/aba/aaa//bba/a//aaaba/b/b/a//bab/abb//aabbb/abab///b/bab/bb/aa/bb///babbab//b/bb/aabbb/abbb/b/aa/abab/b//bbbb/ba/ab/bba//b/aa/b//bbab/b//abaa/ab/b//a/aba/bb//b//bbaba/bbaaab/aabb/aabb//aabbbaaaa//aaab/bbbabb/a/bbabb/ab/a/bbab/bbb//aaba///babbbbbab/abb/abbaaaa/aaab/b/bbb//bbbaa/baaaa/ab/b/aabbaa/ba/bab/abbaa//a/ba//b/b//baaabaab/a/a/ba/b/bbb//b//baaa///baa/b/aabaabaaa//aaa/abb/a//abbaaa/bbbbbaa//aaa/b/aaa//bbb////a/a/abbba//abbbaabba/b/babaaaaa/a/ab//aa/bbaba/aa//b//aabaaba/b/a/a/babbabba/b/abaa/bab//aab/bbb/bbbab/aaab/b/baaa/bbaabaababab/aabab//bba///aaabba/b//bbb/bbbbba//aa/aaab//b/a/bbaa//a/bb/ab////bba/a/a//ab///ba/aab/b/ab/a/abb//bbbb/b//abbaabaa//abbab//abb/a////aaa/abb/abaa/a/aabab///baababb/abb////aaaab///bab/b//abbaa/aaba/b/b/b///b/abb/bbaaab/a/aaa///ab/abaab/b/ba/b/b/aabb/a//ba/bbaaa/abbaa/ab//bab//a/b/a/bbaa/abbab/ab/baba/b//aab///bbaaaaba/aa//aaabab////a//ab/ab/b//ababaabbbab/babb/a///abbbbabba//ab//a///b///abaa/abab/aaaaba//a/bab//aaaabaabbbb//bbaabbba/bababa/bbbaa/aaaa/ba/a/b/b///ba/bbbabab/aaabaaaaabababbab//abb///baabbbbaa/aba/aaab///abaab/b/aabababbb////bba/babaab/bb/b/a/a/babaaa///b/b/a/ababaa/aa/bbba/a/aaaaabbaa/ab////a//abb/b//bbaabaaba//aab/a/aaa/aabbbbaab/a/abb/b//bb//bba//ab/bab/aa/bbaaa//b/babaa/abba/bbb//aa//aab/aabbaa////aa/ab/b/aaabba/ab//abbaaaab/a/abaa//bbababaab/////bb//aa/abbaaa/abb/baabbb///b//ba//babbbabaaab/aaa//bbb/a/b/bb/baa/b/aaaabbaa/aab/baaa///aaaaa/ba/ba/a/a/abaaa/aaaa/a///a/aabab/babb/bbbb/a//bbbb/abbba//baaaaba/b/b/b//aaabab//aaba//a//b/bbaaabbbaa/ab/b//ababbbbaa/ba/a/bb/b/abaabbb//b/aaba//aaa/aaba/ab/aa/aaba//ab/ba/aba/ba/baaaa/a/aba/aaabaa/aa//aabb/bbab//a/a/bababa/ab//aab//baa///ab//aa/baabbbb/baaa//aa/a/ab///b/aba/aabbabbba/a/aa/abbababaaaaabb/a//a/a/ab/a/aab//a/aa/a/ab/a//babb/aababaabbb/aa//b///abaaabab/bb//ab/ba/bb////aaaabaabaa//ba////b/b/a/aaab///ab//a/baa//a/aa/baaa/bbba////aa/a/bb/abaa//baba/baaa//b//a//b/b/bb//aa/bb///bb/aaa///abbaba//aabbb/aaa/b/a/abaa/abaababab/ab/a/aaa//abbaaaaaaaa/a////b/abb/bbbbaa/abbaa///abbaaaab/b//b/a/babbb/ba//aabbabaa/b/b/a/ba/aba//baa/aa//abaaababb/b/a/bb//aa/aaa/b//aaa/b///ba//abbaa/a/bbabbb//////a//ababba/ab/aaa/bb//aa////bbaaba/aabbbaa/aabb/bbb/baaaa/aaa/bb/a/aba////bb/abab/baba/abababb///a/abb/babaaaa/b/bba/aabbb/aba///bba//a/a//bbb//bbaaaa/abababa/a/ab/b/bb/bba/a/aabbbab//b/bbaa/ab/aa/b/ba//baa/ba/a/b/bba/bbaa/b/a///a/bb/bbb/a/aabaaab/b///abbba/bba/babaabbabba//aabb//a//a//a/ababbb/bb/abb/baaaaabb///a//bbabb/bb/b/ba/baa/bba/b//aabb/aa//b/a/bab/a/a/bb//aa//baabb/b/bbaaab/b/abb///b/aab/bbbb//aa/ab/aaa//ab//ab/a/a/baba//a//bbabbaab//abab/aabb/bb//bb/babaaabbbaaa//b/bb/abbab/b/b/bba//abababa/b//a//a//ab/babbab/bbababbb/abba/abbbb/a//ab//aa//a/ab//a/b/bb/aaaaabaaba/b/abbaa///a//aab/bb///aabbabbaa/ab/ba///ab/b/a/a//ba/baa/bbaa/bbabb/////a/bbbab//a/babb/aaa/aba/bb/aabb/b//aababb/b///bb/aa//baab///a/bbabbbbabaabbb//b/a/abbaabaa/bb/b//aba///baa///abb/b//aba/b/bb/aaaabbb/abbbbbb/a/ba/a/ab//bab/babaa/ba/bbab//abbab/b/aa//b/b/aa//a/b//a/a///bab///aaa/bb/a//a//abaaa/aaabbaa/bbb/aabbab//bbba////bababb/b/bbb//b/b/a/a/ab///a/aa/aa//ab/a/a///ba/aa/abbbba/aaa/bb/aaaa/a/a//a/a//aa/b///aaa//bbbb////bbaa/ba//ababb/bb//abb/ba/b/aabbab/abab/a/abbbbbb/bbb/aa/////ab/abbbbaa//aa/bbbbaaaa//a/aa/b/bb/bbaab/a/baabb/a/bab/ba/b/ba///ba/aa/a/b/aa/bbabaa/abab//bbbbabb/b/a/bbb/a/bbabaa//b/a/b/a/bba//ba///a//a///a/a//a//b/ababba/bba/a/b/bab//a///aaaa/a//ab/aabba/a///b/b/aba///aa//b/a///a//bb/a/bbbbbbaabb//ab/ab/a/bbababba/b/aa/babbbb///a//a//ba//baa//bbbbbaa/aabbbbb/baaab//aababaa/a/bbbabbaba/////bbbbbb/bb///b/a/b/aabaa///bbaa/aa/aaab//a/a/ababaa/ba/abba/a/bbb/a/b///b/a/b/b/b/b//ab/a///ba/bb///a/aa////aaababa/b/aabbba//bbab/bbb/baabb//baaab/baabb/b/ab//b/b/bbbb/ababa/bbb//bab//a/aabbbaa/ba/baab/aabb/bbb//abab/baaaabbb//b/bbbaa///a/aabbb///b//aa/abaa/aba/abb/bb/a/a/b/a/aaaa//b/aaabbb//bbba////aa/b//b/b//aa/bba//abaa/a//a/abbba/babba/aa/b/ab//aaaa/bbaba/bbab/a//babababaa/bba///ba/aabbabbba//aaaab/babab/a/aabbbbbbabb///bbbb/a/bba//abb////b//bbab///ababbb/ab/a/ba//babb///ba/a/abb/b/a/b//ab//aaba/b///abaa/aaaabb/babbab/bb/aaabbbaabb//bb/bbaabaaaaa///ba///a/aaba/a////ab////aa/b//b/bbaaaba/aaba/aaab/ba/b/////a//aab/aabba/babbb//b//ba//b/a/a///ab/a/abab/a/a//ab/b/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88 35 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1 45 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48 43 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27 90 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81 15 aba/b///abba/abb//abbbab//ba/b/abab/bb/b//ba/b/babaabbbb/ab/bb//baaab/////a//a/b////b/a/ab////aab/baa/bbaababbbabb//a/aabbaa/a//babaabbaabb/aaa/baa/bb/abba/a/bbbbabaab/aaa/ba//ba/b//aba/babb/baaa/////a/baa/a/aabbaa/a/b//b/abbabbaa//a//baabab//bb/baa///baaba//abaab/aaa/a//b//abab/a/bb/bb/ab///bbaabb/b///abba/ba//a/a//aabb/a//a/abaabba///bbbaba//b///babbb/bbb//b/ab//a//bb//ab/bbbb//aaaa///////aa//baaaaaaa/b///bbab//ba////aaaaa/aa//b//bbaaa/bbbb/a/bab/aaba/bbbabbb//aa/b/baaaa/ababab//abbbbaba/b///aabaa/aaa/a/ba/ab/////b/baabaaaaabaabba/baa/baa/aaa/abbbaaab/a/bb/a/aa/abaaba/abaa/a//bba/aaa/a//aaaaaa///bbababa//a/bb//aaba/ba/////a/b/b/aa//baabbaa/a/abb/////b////a/bbb/aabb//baa/bab//baab/baaaab/a/b/ba/a/a//ba/aaab/b///b/aababb/bab/abbabbaab/abb/ab/abaa/bab/bba///b/baaa/bb//b/bbaa/b//b/a/aaa/ab//aaabaaba//abbb/ba/abbb/a//b/ba/abbb/bba/ababa/aababababa//a/baaaa/bbababb///////ab/a/babb/a//ba/bb/a///ba/aa/bb//ab/bb/a/aaa//bb/aa/baba/b/b//b/ababa//bbb/aaaabab///a//a///ba/b/a/baba///aab/aaaa/ba//b/a/a/baaa/bbbba/bbaa/aabaabba/a/b/aa////ab///a/aaabaaabb/a/ab//a//b///b/abbb//b/aabaaa/////a//bbaaa/a/a/bbbbbbab/aa/b/ba/b//aab//a/abb/babb/b/babaab///ab/ab/ba/bbba/b/bab//b/ab//babbabba////b/aaaa///abbbb/bb//baa///bb////baba/aaba/ab/abaab///ab//ab//ba//aa/b/aaa/a/abaaaa//b//ba///bba/ab/aaa/a/a/aaa/baa/baaba/bbb//ba/baa/a/bbbbba/b/ba/bab/aa///a/bbb/bb/bb/a/ab//a/aabaaaa//a/abaa///aabaab//bbaa/a//baabbbaaa/aa/aaaab/baaaaabb/////bba//bbb////b/abbbaba/ba//ababb///ba/b/ababbbaaba//bbb/b/a//a/ba/baabbbb//ab/ba/b/bbaabb//b/ab/aaabaa/aba/baabb//aabaaaa/aab/a/ba/b/aa/baa//a/b//baaaaaaaa/b/aab/ba/b///bb/a/baa/aaabbb////ab//a/ab////abba/ab/aa/ab/abbbb/a/abb//ab/ba/bb//a/ba/bbabb//b/b/aa/ba//b/bb/a///aab/ab///b/abbabbaa/aba/ba/bb//a//bbbabaaaa/abbbb//aab//a/bbaa/ba///bbababa//abbbabbb//b/aaa///a/a//bab//aaa/abb//aab/bba/abbbb/bbb//a//aa///ab///a/b/abaaaabaa/bb//bbb/aba/b/bbbaab/a/abaaa/aab//b/bbbbaba/a/baaaabbbbbbab/ab/bb//a/bba/aa/baaaa/ab/aa/aba/a/aaaa/aa/a/ab//abbbb/b//b/b/abbb/b/aaa/b///a/////abba/bbb/bab/bbbab/ba/bbb/ba//aaaba/aba//bba/aab/b/bbbabb/a/ba/abab///a/ab//bbb/a//b//baba/bb/////b//ba/a/a/aabb/a///b//abbab/b/baaabb//b//ab//bbab/abbaaabbaababbb/aabab/a/a//ba//aabaaaaba/abbab/bb//aba/baaaabbabbb/abababa///a/bbbbbab/aabb/b///abbaabbbaa/abbabaa/b/a/babaa///aaab//aba/b/a/b/babba/aaba/aaa/bab/babbb/b/aba/a////aa//a/abb//bbbbbb/a//ab/ab 83 61 ababaabbbbbbbbaaabababaabb/aabaabababbabbbbaaabbabba/aaba/aabbabbbababab/aabbbabaababa/aabababababbb/aaaabb/bababa/babbababab/baaabbababbaaababa/bbabaabbbb/bb/ababbbba/bb/bbbbbaabbbaabaab/bbaaaaa/aaaa/babaaaaaba/aaabaaaaabaababba/a/babbbababbabaa/aba/bbaaaabbabbbbbabaa//ba//bbbb/a/abaabbabbbbbaaabaababbababbbbb/bbabaababaabbbbbababaabbbababbbb/bbaa/bbabaababaaabaaabbbab/abb/abaaab/bbba/babaa/ba/a/bbabbbabbaabaaaaabbba/b/baabababa/abb/a/baab/ababbabaaabaaabaabbbbbbaaaaaaaabbbbaabbbabbbbbaababbaabbaaa/ababaaababbbababa//bbabaaba/b/aabbbbaab//ba/bbaa/aababbbaabababbba/aa/bababaaabbaabbabaab/bbbabbbaabbbbaaaaaaaabbb/bbaabaa/baaababbabaab/abbaabbababa///aabbbaabbbaaaaabaabbab//abb/ababaaa/abbabbbaba//baab/a/babbbaaabaa/bab/ab//bbaabbbbbbb/b/bbbaabababbbbbaab/baab/bbb/bbbbababbabaabaaa/bbbbabbaabaaabbbbbaaababaa/abbbbbabbaaa//baabaa///abbab/bb/a/aaaabbaba/baaaaaba/ababaaaaababb/aa/aaaaaabbb/aabaab/ba/b/bbbbb/aabb/baba/bbbbbbb/ababbbaba/aaabbababba/abab/ba/abbabaabab/ba//a/aabbbbabababab/abababaababbba/bbabababbbabbaababaaaabba/baaabbb/abbababaabaaabbaabababaaabbbbbbbbaaba/a 60 2 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57 34 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99 79 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69 52 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59 75 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28 42 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36 33 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66 52 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70 78 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5 40 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70 42 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63 57 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63 4 b/a/aa//a//b/a/ab//a/////aabb/babbaab/bab//b//ab/aabaaaa/b/a///a/a/b///aba/a/babaa///ab/bb/bb/a/a/a/aabbaaaba/b/aaaa/abbaaa//a/bb/b//a/abb/baabbaab///baaa/baa//abaa///aaababbaa/aa/aabbbbaab/a/abb/abbabaaa/bbabba/a/b//bb/baaaab///b/aabb/aba/babaabbb/abbb///a/babaaba//aaabbaa/aba///a//aabba//b/bbabb/b/a/ba/bababbaa//aa/bb/ba/babbbabbb/b/a/b/b//b/aba/b/b/a////b///b//a/bbbaba/babbabbaaaa/bbbbb/a//abbba/bb/baaabbabbaa/ba/b//a//bab/ab/bbbbab/babbaaaaab///a/ab/a/ba/aba/b////aaba//a/baa/aa/b/a///abb///bbabaabbbabb//aaa/ab/abb/bbab/baaa/abbbab//babbbbab//aaaaaba/abba/aaabbaaaa///a///ab//b/abbbabbab//aaab/bbb////b/abbaabaabbabbbaaa/aa/bbaa/ab///bbaabbabbbbbaab/a//a//bbb/b//ba/ba//babb/a/ba 17 100 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68 95 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3 77 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19 99 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55 21 abbb/a//ba//bb/b/a/b////a/b/a/abbbbb/a//abbaaa/bbaa//aba////ba/ba/bb/a//aabaaba///bbaab/babb//bba/aa//ba///b/b/b//aab/bba///abbb/aa/aba/babaaa///ab/abbbaa/abbb/a/aba/a/bbabaa//bb/babbbaababb/aab/b///baaa/ab///aba///a/a//ab/bbbaabbab//aaa//aaa/b//ab/a/bababaa/aaba/aaaa/abaaa////baab/a/ababbb/a/abbbbab//bbabab/b/bbabab//aaa///bbbba//ab/b/abaaaaabb////bbb/aabbb/aa//a/aa//ba///bb//b////b/bab//bb/aa/ababbb/babbb/a/ab/b/aabaabbaaabab/bb/aa/aa/a/aa/abb/bbba////ab/a/aa////babbab///ab//bbb/a/////baa/a///ababa//b///abbba/aa///aa//abb/aab/abb/abab/ab/aab/ba///babbba/bbaa//b//ab/b//aa///abbb/abababbbaa//abb///ab/ 93 54 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30 89 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15 71 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40 30 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7 59 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66 14 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78 9 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8 29
样例输出
202594 -1 -1 -1 -1 11193 -1 -1 15742 136807 151134 45189 -1 -1 4334 3095 37141 -1 24140 -1 -1 -1 37110 -1 90933 3926 -1 -1 -1 68968 70704 24575 -1 -1 17968 -1 -1 166512 -1 -1 -1 -1 6857 -1 -1 -1 10112 -1 -1 30523 -1 -1 36650 11522 -1 -1 35206 -1 100448 93353 25914 8157 -1 -1 -1 -1 76145 -1 -1 17081 16649 -1 91224 -1 -1 6807 44938 85812 -1 18125 4222 12158 -1 563 -1 -1 -1 8792 79548 50098 -1 -1 -1