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1701-1800/1717. Maximum Score From Removing Substrings.md
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# 1717. Maximum Score From Removing Substrings | ||
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- Difficulty: Medium. | ||
- Related Topics: String, Stack, Greedy. | ||
- Similar Questions: Count Words Obtained After Adding a Letter. | ||
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## Problem | ||
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You are given a string `s` and two integers `x` and `y`. You can perform two types of operations any number of times. | ||
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Remove substring `"ab"` and gain `x` points. | ||
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- For example, when removing `"ab"` from `"cabxbae"` it becomes `"cxbae"`. | ||
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Remove substring `"ba"` and gain `y` points. | ||
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- For example, when removing `"ba"` from `"cabxbae"` it becomes `"cabxe"`. | ||
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Return **the maximum points you can gain after applying the above operations on** `s`. | ||
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Example 1: | ||
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``` | ||
Input: s = "cdbcbbaaabab", x = 4, y = 5 | ||
Output: 19 | ||
Explanation: | ||
- Remove the "ba" underlined in "cdbcbbaaabab". Now, s = "cdbcbbaaab" and 5 points are added to the score. | ||
- Remove the "ab" underlined in "cdbcbbaaab". Now, s = "cdbcbbaa" and 4 points are added to the score. | ||
- Remove the "ba" underlined in "cdbcbbaa". Now, s = "cdbcba" and 5 points are added to the score. | ||
- Remove the "ba" underlined in "cdbcba". Now, s = "cdbc" and 5 points are added to the score. | ||
Total score = 5 + 4 + 5 + 5 = 19. | ||
``` | ||
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Example 2: | ||
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``` | ||
Input: s = "aabbaaxybbaabb", x = 5, y = 4 | ||
Output: 20 | ||
``` | ||
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**Constraints:** | ||
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- `1 <= s.length <= 105` | ||
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- `1 <= x, y <= 104` | ||
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- `s` consists of lowercase English letters. | ||
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## Solution 1 | ||
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```javascript | ||
/** | ||
* @param {string} s | ||
* @param {number} x | ||
* @param {number} y | ||
* @return {number} | ||
*/ | ||
var maximumGain = function(s, x, y) { | ||
var stack = []; | ||
var score = 0; | ||
var a = x > y ? 'ab' : 'ba'; | ||
var b = x > y ? 'ba' : 'ab'; | ||
var ax = x > y ? x : y; | ||
var bx = x > y ? y : x; | ||
var score = 0; | ||
for (var i = 0; i < s.length; i++) { | ||
if (stack[stack.length - 1] === a[0] && s[i] === a[1]) { | ||
stack.pop(); | ||
score += ax; | ||
} else { | ||
stack.push(s[i]); | ||
} | ||
} | ||
s = stack.join(''); | ||
stack = []; | ||
for (var i = 0; i < s.length; i++) { | ||
if (stack[stack.length - 1] === b[0] && s[i] === b[1]) { | ||
stack.pop(); | ||
score += bx; | ||
} else { | ||
stack.push(s[i]); | ||
} | ||
} | ||
return score; | ||
}; | ||
``` | ||
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**Explain:** | ||
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nope. | ||
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**Complexity:** | ||
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* Time complexity : O(n). | ||
* Space complexity : O(n). | ||
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## Solution 2 | ||
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```javascript | ||
/** | ||
* @param {string} s | ||
* @param {number} x | ||
* @param {number} y | ||
* @return {number} | ||
*/ | ||
var maximumGain = function(s, x, y) { | ||
if (y > x) { | ||
return maximumGain(s.split('').reverse(), y, x); | ||
} | ||
var aCount = 0; | ||
var bCount = 0; | ||
var score = 0; | ||
for (var i = 0; i <= s.length; i++) { | ||
if (s[i] === 'a') { | ||
aCount += 1; | ||
} else if (s[i] === 'b') { | ||
if (aCount > 0) { | ||
aCount -= 1; | ||
score += x; | ||
} else { | ||
bCount += 1; | ||
} | ||
} else { | ||
score += Math.min(aCount, bCount) * y; | ||
aCount = 0; | ||
bCount = 0; | ||
} | ||
} | ||
return score; | ||
}; | ||
``` | ||
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**Explain:** | ||
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nope. | ||
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**Complexity:** | ||
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* Time complexity : O(n). | ||
* Space complexity : O(1). |