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| 1 | +var pathExistenceQueries = function(n, nums, maxDiff, queries) { |
| 2 | +const sortedQueries = queries; |
| 3 | +const sortedIndices = Array.from({ length: n }, (_, i) => i); |
| 4 | +const position = Array(n).fill(0); |
| 5 | +const values = Array(n).fill(0); |
| 6 | + |
| 7 | +sortedIndices.sort((a, b) => nums[a] - nums[b]); |
| 8 | + |
| 9 | +for (let i = 0; i < n; ++i) { |
| 10 | +position[sortedIndices[i]] = i; |
| 11 | +values[i] = nums[sortedIndices[i]]; |
| 12 | +} |
| 13 | + |
| 14 | +const reachableIndex = Array(n).fill(0); |
| 15 | +let j = 0; |
| 16 | +for (let i = 0; i < n; ++i) { |
| 17 | +if (j < i) j = i; |
| 18 | +while (j + 1 < n && values[j + 1] - values[i] <= maxDiff) ++j; |
| 19 | +reachableIndex[i] = j; |
| 20 | +} |
| 21 | + |
| 22 | +let maxLog = 1; |
| 23 | +while ((1 << maxLog) < n) ++maxLog; |
| 24 | + |
| 25 | +const upTable = Array.from({ length: maxLog }, () => Array(n).fill(0)); |
| 26 | +upTable[0] = reachableIndex.slice(); |
| 27 | + |
| 28 | +for (let k = 1; k < maxLog; ++k) { |
| 29 | +for (let i = 0; i < n; ++i) { |
| 30 | +upTable[k][i] = upTable[k - 1][upTable[k - 1][i]]; |
| 31 | +} |
| 32 | +} |
| 33 | + |
| 34 | +const results = []; |
| 35 | + |
| 36 | +for (const query of queries) { |
| 37 | +let [start, end] = query; |
| 38 | +if (start === end) { |
| 39 | +results.push(0); |
| 40 | +continue; |
| 41 | +} |
| 42 | + |
| 43 | +let startPos = position[start], endPos = position[end]; |
| 44 | +if (startPos > endPos) [startPos, endPos] = [endPos, startPos]; |
| 45 | + |
| 46 | +if (Math.abs(nums[start] - nums[end]) <= maxDiff) { |
| 47 | +results.push(1); |
| 48 | +continue; |
| 49 | +} |
| 50 | + |
| 51 | +if (reachableIndex[startPos] < endPos) { |
| 52 | +let current = startPos, jumpCount = 0; |
| 53 | +for (let k = maxLog - 1; k >= 0; --k) { |
| 54 | +if (upTable[k][current] < endPos) { |
| 55 | +if (upTable[k][current] === current) break; |
| 56 | +current = upTable[k][current]; |
| 57 | +jumpCount += 1 << k; |
| 58 | +} |
| 59 | +} |
| 60 | +if (reachableIndex[current] >= endPos) results.push(jumpCount + 1); |
| 61 | +else results.push(-1); |
| 62 | +} else { |
| 63 | +results.push(1); |
| 64 | +} |
| 65 | +} |
| 66 | + |
| 67 | +return results; |
| 68 | +}; |
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