Implement a basic calculator to evaluate a simple expression string.
The expression string contains only non-negative integers,
+
, -
, *
, /
operators and empty spaces
. The integer division should truncate toward zero.
You may assume that the given expression is always valid.
Some examples:
"3+2*2" = 7 " 3/2 " = 1 " 3+5 / 2 " = 5
Note: Do not use the
eval
built-in library function.
Solution: Since here we do not have parentheses, a stack is not necessary.
One can directly make one pass to derive the result, by maintaining preMulDiv, preAddSub, preNum, and curNum.
The logic:
Each time we see '+' or '-', we know '*' or '/' before it must have been processed. If we have unprocessed '+' or '-' before, process the old one.
Each time we see a number, if we have unprocessed '*' or '/', process it immediately. Otherwise, update preNum and curNum.
In the end, we need to check whether we need to process '+' or '-' once.
Remarks. In order to deal with the special test case "0-2147483648", I added a little more code. Did not aim to take care of all large number operations.
Remarks. In order to deal with the special test case "0-2147483648", I added a little more code. Did not aim to take care of all large number operations.
public class Solution { private boolean isOverflow(String s) { return s.equals("2147483648"); } private int evalOp(int a, int b, char op) { switch (op) { case '+': return a + b; case '-': return a - b; case '*': return a * b; default: return a / b; } } public int calculate(String s) { if (s == null || s.length() == 0) { return 0; } Character preAddSub = null; Character preMulDiv = null; Integer preNum = null; Integer curNum = null; int i = 0; while (i < s.length()) { if (Character.isWhitespace(s.charAt(i))) { i++; } else if (Character.isDigit(s.charAt(i))) { int j = i + 1; while ( j < s.length() && Character.isDigit(s.charAt(j)) ) { j++; } if (isOverflow(s.substring(i, j))) { return Integer.MIN_VALUE; } int nextNum = Integer.valueOf(s.substring(i, j)); if (preMulDiv != null) { curNum = evalOp(curNum, nextNum, preMulDiv); preMulDiv = null; } else { preNum = curNum; curNum = nextNum; } i = j; } else if (s.charAt(i) == '+' || s.charAt(i) == '-') { if (preAddSub != null) { curNum = evalOp(preNum, curNum, preAddSub); } preAddSub = s.charAt(i); i++; } else { preMulDiv = s.charAt(i); i++; } } if (preAddSub != null) { curNum = evalOp(preNum, curNum, preAddSub); } return curNum; } }
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