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| 1 | +/** |
| 2 | + * 1187. Make Array Strictly Increasing |
| 3 | + * https://leetcode.com/problems/make-array-strictly-increasing/ |
| 4 | + * Difficulty: Hard |
| 5 | + * |
| 6 | + * Given two integer arrays arr1 and arr2, return the minimum number of operations (possibly zero) |
| 7 | + * needed to make arr1 strictly increasing. |
| 8 | + * |
| 9 | + * In one operation, you can choose two indices 0 <= i < arr1.length and 0 <= j < arr2.length and |
| 10 | + * do the assignment arr1[i] = arr2[j]. |
| 11 | + * |
| 12 | + * If there is no way to make arr1 strictly increasing, return -1. |
| 13 | + */ |
| 14 | + |
| 15 | +/** |
| 16 | + * @param {number[]} arr1 |
| 17 | + * @param {number[]} arr2 |
| 18 | + * @return {number} |
| 19 | + */ |
| 20 | +var makeArrayIncreasing = function(arr1, arr2) { |
| 21 | + arr2 = [...new Set(arr2)].sort((a, b) => a - b); |
| 22 | + let dp = new Map([[-Infinity, 0]]); |
| 23 | + |
| 24 | + for (let i = 0; i < arr1.length; i++) { |
| 25 | + const nextDp = new Map(); |
| 26 | + let minSteps = Infinity; |
| 27 | + |
| 28 | + for (const [prev, steps] of dp) { |
| 29 | + if (steps >= minSteps) continue; |
| 30 | + |
| 31 | + if (arr1[i] > prev) { |
| 32 | + updateMin(nextDp, arr1[i], steps); |
| 33 | + minSteps = Math.min(minSteps, steps); |
| 34 | + } |
| 35 | + |
| 36 | + const start = binarySearch(arr2, prev); |
| 37 | + for (let j = start; j < arr2.length; j++) { |
| 38 | + if (arr2[j] <= prev) continue; |
| 39 | + updateMin(nextDp, arr2[j], steps + 1); |
| 40 | + minSteps = Math.min(minSteps, steps + 1); |
| 41 | + if (arr2[j] >= arr1[i]) break; |
| 42 | + } |
| 43 | + } |
| 44 | + |
| 45 | + if (nextDp.size === 0) return -1; |
| 46 | + dp = pruneStates(nextDp); |
| 47 | + } |
| 48 | + |
| 49 | + return Math.min(...dp.values()); |
| 50 | +}; |
| 51 | + |
| 52 | +function updateMin(map, key, value) { |
| 53 | + map.set(key, Math.min(value, map.get(key) ?? Infinity)); |
| 54 | +} |
| 55 | + |
| 56 | +function binarySearch(arr, target) { |
| 57 | + let left = 0; |
| 58 | + let right = arr.length; |
| 59 | + while (left < right) { |
| 60 | + const mid = Math.floor((left + right) / 2); |
| 61 | + if (arr[mid] <= target) left = mid + 1; |
| 62 | + else right = mid; |
| 63 | + } |
| 64 | + return left; |
| 65 | +} |
| 66 | + |
| 67 | +function pruneStates(input) { |
| 68 | + const map = new Map(); |
| 69 | + let minSteps = Infinity; |
| 70 | + for (const [val, steps] of [...input].sort((a, b) => a[0] - b[0])) { |
| 71 | + if (steps < minSteps) { |
| 72 | + map.set(val, steps); |
| 73 | + minSteps = steps; |
| 74 | + } |
| 75 | + } |
| 76 | + return map; |
| 77 | +} |
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