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| 1 | +/*A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. |
| 2 | +
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| 3 | +Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a closing bracket (i.e., ), ], or }) of the exact same type. There are three types of matched pairs of brackets: [], {}, and (). |
| 4 | +
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| 5 | +A matching pair of brackets is not balanced if the set of brackets it encloses are not matched. For example, {[(])} is not balanced because the contents in between { and } are not balanced. The pair of square brackets encloses a single, unbalanced opening bracket, (, and the pair of parentheses encloses a single, unbalanced closing square bracket, ]. |
| 6 | +
|
| 7 | +By this logic, we say a sequence of brackets is balanced if the following conditions are met: |
| 8 | +
|
| 9 | + It contains no unmatched brackets. |
| 10 | + The subset of brackets enclosed within the confines of a matched pair of brackets is also a matched pair of brackets. |
| 11 | +
|
| 12 | +Given |
| 13 | +
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| 14 | +strings of brackets, determine whether each sequence of brackets is balanced. If a string is balanced, return YES. Otherwise, return NO. |
| 15 | +
|
| 16 | +Function Description |
| 17 | +
|
| 18 | +Complete the function isBalanced in the editor below. |
| 19 | +
|
| 20 | +isBalanced has the following parameter(s): |
| 21 | +
|
| 22 | + string s: a string of brackets |
| 23 | +
|
| 24 | +Returns |
| 25 | +
|
| 26 | + string: either YES or NO |
| 27 | +
|
| 28 | +Input Format |
| 29 | +
|
| 30 | +The first line contains a single integer |
| 31 | +, the number of strings. |
| 32 | +Each of the next lines contains a single string |
| 33 | +
|
| 34 | +, a sequence of brackets. |
| 35 | +
|
| 36 | +Constraints |
| 37 | +
|
| 38 | +, where |
| 39 | +
|
| 40 | + is the length of the sequence. |
| 41 | + All chracters in the sequences ∈ { {, }, (, ), [, ] }. |
| 42 | +
|
| 43 | +Output Format |
| 44 | +
|
| 45 | +For each string, return YES or NO. |
| 46 | +
|
| 47 | +Sample Input |
| 48 | +
|
| 49 | +STDIN Function ----- -------- 3 n = 3 {[()]} first s = '{[()]}' {[(])} second s = '{[(])}' {{[[(())]]}} third s ='{{[[(())]]}}' |
| 50 | +
|
| 51 | +Sample Output |
| 52 | +
|
| 53 | +YES |
| 54 | +NO |
| 55 | +YES |
| 56 | +
|
| 57 | +Explanation |
| 58 | +
|
| 59 | + The string {[()]} meets both criteria for being a balanced string. |
| 60 | + The string {[(])} is not balanced because the brackets enclosed by the matched pair { and } are not balanced: [(]). |
| 61 | + The string {{[[(())]]}} meets both criteria for being a balanced string. |
| 62 | +*/ |
| 63 | + |
| 64 | + |
| 65 | +// solution: |
| 66 | + |
| 67 | +#include <bits/stdc++.h> |
| 68 | + |
| 69 | +using namespace std; |
| 70 | + |
| 71 | +string ltrim(const string &); |
| 72 | +string rtrim(const string &); |
| 73 | + |
| 74 | +string isBalanced(string s) { |
| 75 | + |
| 76 | + unordered_map<char,int>symbols{{'{',-1},{'[',-2},{'(',-3},{'}',1},{']',2},{')',3}}; |
| 77 | + |
| 78 | + stack<char>st; |
| 79 | + |
| 80 | + for( char bracket: s){ |
| 81 | + |
| 82 | + if(symbols[bracket] < 0) st.push(bracket); |
| 83 | + |
| 84 | + else { |
| 85 | + if(st.empty())return "NO"; |
| 86 | + char top = st.top(); |
| 87 | + st.pop(); |
| 88 | + if( symbols[bracket] + symbols[top] != 0) return "NO"; |
| 89 | + } |
| 90 | + } |
| 91 | + if(!st.empty())return "NO"; |
| 92 | + return "YES"; |
| 93 | +} |
| 94 | + |
| 95 | +int main() |
| 96 | +{ |
| 97 | + ofstream fout(getenv("OUTPUT_PATH")); |
| 98 | + |
| 99 | + string t_temp; |
| 100 | + getline(cin, t_temp); |
| 101 | + |
| 102 | + int t = stoi(ltrim(rtrim(t_temp))); |
| 103 | + |
| 104 | + for (int t_itr = 0; t_itr < t; t_itr++) { |
| 105 | + string s; |
| 106 | + getline(cin, s); |
| 107 | + |
| 108 | + string result = isBalanced(s); |
| 109 | + |
| 110 | + fout << result << "\n"; |
| 111 | + } |
| 112 | + |
| 113 | + fout.close(); |
| 114 | + |
| 115 | + return 0; |
| 116 | +} |
| 117 | + |
| 118 | +string ltrim(const string &str) { |
| 119 | + string s(str); |
| 120 | + |
| 121 | + s.erase( |
| 122 | + s.begin(), |
| 123 | + find_if(s.begin(), s.end(), not1(ptr_fun<int, int>(isspace))) |
| 124 | + ); |
| 125 | + |
| 126 | + return s; |
| 127 | +} |
| 128 | + |
| 129 | +string rtrim(const string &str) { |
| 130 | + string s(str); |
| 131 | + |
| 132 | + s.erase( |
| 133 | + find_if(s.rbegin(), s.rend(), not1(ptr_fun<int, int>(isspace))).base(), |
| 134 | + s.end() |
| 135 | + ); |
| 136 | + |
| 137 | + return s; |
| 138 | +} |
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