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| 1 | +/** |
| 2 | + * 923. 3Sum With Multiplicity |
| 3 | + * https://leetcode.com/problems/3sum-with-multiplicity/ |
| 4 | + * Difficulty: Medium |
| 5 | + * |
| 6 | + * Given an integer array arr, and an integer target, return the number of tuples i, j, k such |
| 7 | + * that i < j < k and arr[i] + arr[j] + arr[k] == target. |
| 8 | + * |
| 9 | + * As the answer can be very large, return it modulo 109 + 7. |
| 10 | + */ |
| 11 | + |
| 12 | +/** |
| 13 | + * @param {number[]} arr |
| 14 | + * @param {number} target |
| 15 | + * @return {number} |
| 16 | + */ |
| 17 | +var threeSumMulti = function(arr, target) { |
| 18 | + const MOD = 1e9 + 7; |
| 19 | + const counts = new Map(); |
| 20 | + let result = 0; |
| 21 | + |
| 22 | + for (const num of arr) { |
| 23 | + counts.set(num, (counts.get(num) || 0) + 1); |
| 24 | + } |
| 25 | + |
| 26 | + const uniqueNums = [...counts.keys()].sort((a, b) => a - b); |
| 27 | + |
| 28 | + for (let i = 0; i < uniqueNums.length; i++) { |
| 29 | + const num1 = uniqueNums[i]; |
| 30 | + for (let j = i; j < uniqueNums.length; j++) { |
| 31 | + const num2 = uniqueNums[j]; |
| 32 | + const num3 = target - num1 - num2; |
| 33 | + |
| 34 | + if (num3 < num2) continue; |
| 35 | + |
| 36 | + const count1 = counts.get(num1); |
| 37 | + const count2 = counts.get(num2); |
| 38 | + const count3 = counts.get(num3) || 0; |
| 39 | + |
| 40 | + if (num1 === num2 && num2 === num3) { |
| 41 | + result = (result + (count1 * (count1 - 1) * (count1 - 2)) / 6) % MOD; |
| 42 | + } else if (num1 === num2) { |
| 43 | + result = (result + (count1 * (count1 - 1) * count3) / 2) % MOD; |
| 44 | + } else if (num2 === num3) { |
| 45 | + result = (result + (count1 * count2 * (count2 - 1)) / 2) % MOD; |
| 46 | + } else { |
| 47 | + result = (result + count1 * count2 * count3) % MOD; |
| 48 | + } |
| 49 | + } |
| 50 | + } |
| 51 | + |
| 52 | + return result; |
| 53 | +}; |
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