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| 1 | +// Source : https://leetcode.com/problems/splitting-a-string-into-descending-consecutive-values/ |
| 2 | +// Author : Hao Chen |
| 3 | +// Date : 2021-05-03 |
| 4 | + |
| 5 | +/***************************************************************************************************** |
| 6 | + * |
| 7 | + * You are given a string s that consists of only digits. |
| 8 | + * |
| 9 | + * Check if we can split s into two or more non-empty substrings such that the numerical values of the |
| 10 | + * substrings are in descending order and the difference between numerical values of every two |
| 11 | + * adjacent substrings is equal to 1. |
| 12 | + * |
| 13 | + * For example, the string s = "0090089" can be split into ["0090", "089"] with numerical |
| 14 | + * values [90,89]. The values are in descending order and adjacent values differ by 1, so this way is |
| 15 | + * valid. |
| 16 | + * Another example, the string s = "001" can be split into ["0", "01"], ["00", "1"], or ["0", |
| 17 | + * "0", "1"]. However all the ways are invalid because they have numerical values [0,1], [0,1], and |
| 18 | + * [0,0,1] respectively, all of which are not in descending order. |
| 19 | + * |
| 20 | + * Return true if it is possible to split s as described above, or false otherwise. |
| 21 | + * |
| 22 | + * A substring is a contiguous sequence of characters in a string. |
| 23 | + * |
| 24 | + * Example 1: |
| 25 | + * |
| 26 | + * Input: s = "1234" |
| 27 | + * Output: false |
| 28 | + * Explanation: There is no valid way to split s. |
| 29 | + * |
| 30 | + * Example 2: |
| 31 | + * |
| 32 | + * Input: s = "050043" |
| 33 | + * Output: true |
| 34 | + * Explanation: s can be split into ["05", "004", "3"] with numerical values [5,4,3]. |
| 35 | + * The values are in descending order with adjacent values differing by 1. |
| 36 | + * |
| 37 | + * Example 3: |
| 38 | + * |
| 39 | + * Input: s = "9080701" |
| 40 | + * Output: false |
| 41 | + * Explanation: There is no valid way to split s. |
| 42 | + * |
| 43 | + * Example 4: |
| 44 | + * |
| 45 | + * Input: s = "10009998" |
| 46 | + * Output: true |
| 47 | + * Explanation: s can be split into ["100", "099", "98"] with numerical values [100,99,98]. |
| 48 | + * The values are in descending order with adjacent values differing by 1. |
| 49 | + * |
| 50 | + * Constraints: |
| 51 | + * |
| 52 | + * 1 <= s.length <= 20 |
| 53 | + * s only consists of digits. |
| 54 | + ******************************************************************************************************/ |
| 55 | + |
| 56 | +class Solution { |
| 57 | +private: |
| 58 | + int pos; |
| 59 | +public: |
| 60 | + bool getNum(string& s, long target) { |
| 61 | + |
| 62 | + long n = 0; |
| 63 | + while(s[pos] == '0') pos++; |
| 64 | + while(pos < s.size()){ |
| 65 | + n = (n*10 + s[pos++] - '0') ; |
| 66 | + if (n == target) return true; |
| 67 | + if (n > target ) return false; // n is already greater than target |
| 68 | + } |
| 69 | + return target == n; |
| 70 | + } |
| 71 | + |
| 72 | + long firstNum(string& s, int len) { |
| 73 | + long n = 0; |
| 74 | + while(s[pos] == '0') pos++; |
| 75 | + for(; pos< s.size() && len > 0; pos++, len--) { |
| 76 | + n = (n*10 + s[pos] - '0') ; |
| 77 | + } |
| 78 | + return n; |
| 79 | + } |
| 80 | + |
| 81 | + bool splitString(string s) { |
| 82 | + pos = 0; |
| 83 | + long num; |
| 84 | + for (int len=1; len<= s.size()/2+1; len++) { |
| 85 | + pos = 0; |
| 86 | + num = firstNum(s, len); |
| 87 | + if (pos >= s.size()) continue; // only have one number |
| 88 | + |
| 89 | + bool result = true; |
| 90 | + while( pos < s.size() ) { |
| 91 | + if (getNum(s, --num) == false){ |
| 92 | + result = false; |
| 93 | + break; |
| 94 | + } |
| 95 | + } |
| 96 | + if (result) return true; |
| 97 | + } |
| 98 | + return false; |
| 99 | + } |
| 100 | +}; |
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