|
| 1 | +/* |
| 2 | + |
| 3 | +time: O(n) |
| 4 | +space: O(n) |
| 5 | +
|
| 6 | +Runtime |
| 7 | +18 ms |
| 8 | +Beats |
| 9 | +95.53% |
| 10 | +Memory |
| 11 | +19.3 MB |
| 12 | +Beats |
| 13 | +92.28% |
| 14 | +*/ |
| 15 | + |
| 16 | +#include <bits/stdc++.h> |
| 17 | + |
| 18 | +using namespace std; |
| 19 | + |
| 20 | +#define all(x) begin(x), end(x) |
| 21 | +typedef vector<int> vi; |
| 22 | +typedef vector<vector<int>> vvi; |
| 23 | + |
| 24 | +class Solution { |
| 25 | + public: |
| 26 | + string largestMultipleOfThree(vector<int>& digits) { |
| 27 | + int n = size(digits); |
| 28 | + auto sum = accumulate(all(digits), 0); |
| 29 | + auto rem_sum = sum % 3; |
| 30 | + |
| 31 | + int rtrim = 0; |
| 32 | + if (rem_sum != 0) { |
| 33 | + // find the two least num |
| 34 | + int m1_1 = 10; |
| 35 | + int m1_2 = 10; |
| 36 | + int m2_1 = 10; |
| 37 | + int m2_2 = 10; |
| 38 | + int m1_1_index; |
| 39 | + int m1_2_index; |
| 40 | + int m2_1_index; |
| 41 | + int m2_2_index; |
| 42 | + |
| 43 | + for (int i = 0; i < n; ++i) { |
| 44 | + auto digit = digits[i]; |
| 45 | + if (digit % 3 == 1) { |
| 46 | + if (digit < m1_1) { |
| 47 | + m1_2 = m1_1; |
| 48 | + m1_2_index = m1_1_index; |
| 49 | + m1_1 = digit; |
| 50 | + m1_1_index = i; |
| 51 | + } else if (digit == m1_1 && digit < m1_2) { |
| 52 | + m1_2 = digit; |
| 53 | + m1_2_index = i; |
| 54 | + } |
| 55 | + } else if (digit % 3 == 2) { |
| 56 | + if (digit < m2_1) { |
| 57 | + m2_2 = m2_1; |
| 58 | + m2_2_index = m2_1_index; |
| 59 | + m2_1 = digit; |
| 60 | + m2_1_index = i; |
| 61 | + } else if (digit == m2_1 && digit < m2_2) { |
| 62 | + m2_2 = digit; |
| 63 | + m2_2_index = i; |
| 64 | + } |
| 65 | + } |
| 66 | + } |
| 67 | + |
| 68 | + /// replace the 1 or 2 least num with 0 |
| 69 | + if (rem_sum == 1) { |
| 70 | + if (m1_1 != 10) { |
| 71 | + digits[m1_1_index] = 0; |
| 72 | + rtrim = 1; |
| 73 | + } else if (m2_1 != 10 && m2_2 != 10) { |
| 74 | + digits[m2_1_index] = 0; |
| 75 | + digits[m2_2_index] = 0; |
| 76 | + rtrim = 2; |
| 77 | + } else { |
| 78 | + return ""; |
| 79 | + } |
| 80 | + } else if (rem_sum == 2) { |
| 81 | + if (m2_1 != 10) { |
| 82 | + digits[m2_1_index] = 0; |
| 83 | + rtrim = 1; |
| 84 | + } else if (m1_1 != 10 && m1_2 != 10) { |
| 85 | + digits[m1_1_index] = 0; |
| 86 | + digits[m1_2_index] = 0; |
| 87 | + rtrim = 2; |
| 88 | + } else { |
| 89 | + return ""; |
| 90 | + } |
| 91 | + } |
| 92 | + } |
| 93 | + |
| 94 | + if (n == rtrim) return ""; |
| 95 | + |
| 96 | + sort(all(digits), greater()); |
| 97 | + if (digits[0] == 0) return "0"; |
| 98 | + |
| 99 | + /// trim the replaced 0, and cast |
| 100 | + string res; |
| 101 | + res.reserve(n - rtrim); |
| 102 | + for (int i = 0; i < n - rtrim; ++i) { |
| 103 | + res += digits[i] + 48; |
| 104 | + } |
| 105 | + return res; |
| 106 | + } |
| 107 | +}; |
| 108 | + |
| 109 | +const static auto initialize = [] { |
| 110 | + std::ios::sync_with_stdio(false); |
| 111 | + std::cin.tie(nullptr); |
| 112 | + std::cout.tie(nullptr); |
| 113 | + return nullptr; |
| 114 | +}(); |
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