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| 1 | +# 2844. Minimum Operations to Make a Special Number |
| 2 | + |
| 3 | +- Difficulty: Medium. |
| 4 | +- Related Topics: . |
| 5 | +- Similar Questions: Remove K Digits, Remove Digit From Number to Maximize Result. |
| 6 | + |
| 7 | +## Problem |
| 8 | + |
| 9 | +You are given a **0-indexed** string `num` representing a non-negative integer. |
| 10 | + |
| 11 | +In one operation, you can pick any digit of `num` and delete it. Note that if you delete all the digits of `num`, `num` becomes `0`. |
| 12 | + |
| 13 | +Return **the **minimum number of operations** required to make** `num` *special*. |
| 14 | + |
| 15 | +An integer `x` is considered **special** if it is divisible by `25`. |
| 16 | + |
| 17 | + |
| 18 | +Example 1: |
| 19 | + |
| 20 | +``` |
| 21 | +Input: num = "2245047" |
| 22 | +Output: 2 |
| 23 | +Explanation: Delete digits num[5] and num[6]. The resulting number is "22450" which is special since it is divisible by 25. |
| 24 | +It can be shown that 2 is the minimum number of operations required to get a special number. |
| 25 | +``` |
| 26 | + |
| 27 | +Example 2: |
| 28 | + |
| 29 | +``` |
| 30 | +Input: num = "2908305" |
| 31 | +Output: 3 |
| 32 | +Explanation: Delete digits num[3], num[4], and num[6]. The resulting number is "2900" which is special since it is divisible by 25. |
| 33 | +It can be shown that 3 is the minimum number of operations required to get a special number. |
| 34 | +``` |
| 35 | + |
| 36 | +Example 3: |
| 37 | + |
| 38 | +``` |
| 39 | +Input: num = "10" |
| 40 | +Output: 1 |
| 41 | +Explanation: Delete digit num[0]. The resulting number is "0" which is special since it is divisible by 25. |
| 42 | +It can be shown that 1 is the minimum number of operations required to get a special number. |
| 43 | +
|
| 44 | +``` |
| 45 | + |
| 46 | + |
| 47 | +**Constraints:** |
| 48 | + |
| 49 | + |
| 50 | + |
| 51 | +- `1 <= num.length <= 100` |
| 52 | + |
| 53 | +- `num` only consists of digits `'0'` through `'9'`. |
| 54 | + |
| 55 | +- `num` does not contain any leading zeros. |
| 56 | + |
| 57 | + |
| 58 | + |
| 59 | +## Solution |
| 60 | + |
| 61 | +```javascript |
| 62 | +/** |
| 63 | + * @param {string} num |
| 64 | + * @return {number} |
| 65 | + */ |
| 66 | +var minimumOperations = function(num) { |
| 67 | + var min = num.length; |
| 68 | + if (num.includes('0')) min = num.length - 1; |
| 69 | + var nums = ['25', '50', '75', '00']; |
| 70 | + for (var i = 0; i < nums.length; i++) { |
| 71 | + var m = 0; |
| 72 | + var count = 0; |
| 73 | + for (var j = num.length - 1; j >= 0; j--) { |
| 74 | + if (num[j] === nums[i][nums[i].length - 1 - m]) { |
| 75 | + m++; |
| 76 | + if (m === nums[i].length) { |
| 77 | + min = Math.min(min, count); |
| 78 | + } |
| 79 | + } else { |
| 80 | + count++; |
| 81 | + } |
| 82 | + } |
| 83 | + } |
| 84 | + return min; |
| 85 | +}; |
| 86 | +``` |
| 87 | + |
| 88 | +**Explain:** |
| 89 | + |
| 90 | +nope. |
| 91 | + |
| 92 | +**Complexity:** |
| 93 | + |
| 94 | +* Time complexity : O(n). |
| 95 | +* Space complexity : O(1). |
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