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144 lines
3.8 KiB
144 lines
3.8 KiB
#include <bits/stdc++.h>
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using namespace std;
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//四则运算的类
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class fourArithmeticOperation {
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public:
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//四则运算的字符串
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string s;
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//数字栈
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stack<int> val;
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//操作符栈
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stack<char> symbol;
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//构建函数
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fourArithmeticOperation() {
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symbol.push('#');
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}
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//表达式计算的过程
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int process() {
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int i = 0, num;
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while (symbol.top() != '#' || i < s.size()) {
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//发现了数字
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if (s[i] >= '0' && s[i] <= '9') {
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//为操作数
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num = 0;
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//根据字符串转为数字的方法
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while (s[i] >= '0' && s[i] <= '9') {//一直向后找是数字的
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num *= 10;
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num += s[i] - '0';
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++i;
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}
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//数字入栈
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val.push(num);
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//cout << num << "入栈val" << endl;
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} else {
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switch (cmp(symbol.top(), s[i])) {
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case '<':
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symbol.push(s[i]);
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//调试信息
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// cout << s[i] << "入栈symbol" << endl;
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++i;
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break;
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case '=': //用于前后等号对掉
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//调试信息
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// cout << symbol.top() << "出栈symbol" << endl;
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symbol.pop();
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++i;
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break;
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case '>':
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int a = val.top();
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val.pop();
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int b = val.top();
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//出栈
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// cout << b << "出栈val" << endl;
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val.pop();
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val.push(cal(b, a, symbol.top()));
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//调试信息
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// cout << a << symbol.top() << b << "=" << val.top() << endl;
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// cout << val.top() << "入栈val" << endl;
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//出栈
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// cout << symbol.top() << "出栈symbol" << endl;
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symbol.pop();
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break;
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}
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}
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}
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int res = val.top();
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val.pop();
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return res;
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}
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//操作符之间的优先级的比较
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char cmp(char a, char b) {
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//右括号不会进栈,不必写右括号的优先级
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//遇到右括号就弹出左括号
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if (a == '#') {
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if (b == '#') {
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return '=';
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} else {
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return '<';
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}
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}
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if (a == '+' || a == '-') {
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if (b == '*' || b == 'x' || b == 'X' || b == '/' || b == '(') {
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return '<';
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} else {
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return '>';
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}
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}
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if (a == '*' || a == 'x' || a == 'X' || a == '/') {
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if (b == '(') {
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return '<';
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} else {
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return '>';
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}
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}
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if (a == '(') {
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if (b == ')') {
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return '=';
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} else {
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return '<';
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}
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}
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}
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//返回计算结果
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int cal(int a, int b, char op) {
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switch (op) {
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case '+':
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return a + b;
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case '-':
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return a - b;
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case 'x':
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return a * b;
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case 'X':
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return a * b;
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case '*':
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return a * b;
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case '/':
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return a / b;
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}
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}
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};
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int main() {
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fourArithmeticOperation s1;
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int n;
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cin >> n;
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for (int i = 0; i < n; i++) {
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cin >> s1.s;
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if (s1.process() == 24) {
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cout << "YES" << endl;
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} else {
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cout << "NO" << endl;
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}
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}
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return 0;
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}
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